Alexa has $4.75 worth of dimes and quarters. She has 2 more dimes than quarters. Determine the number of dimes and the number of quarters that Alexa has.

Answers

Answer 1

Answer:

Alexa has 13 quarters and 15 dimes.

Step-by-step explanation:

First, we should set up a system of equations using the given information. We can use q to represent the number of quarters and d to represent the number of dimes.

Since quarters are $0.25, dimes are $0.10, and the total is $4.75 we know 0.25q + 0.1d = 4.75

The problem tells us that there are 2 more dimes than quarters, so d = q + 2

To solve for the number of quarters, we can substitute the second equation into the first equation.

0.25q + 0.1 (q + 2) = 4.75

0.25q + 0.1q + 0.2 = 4.75

0.35q = 4.55

q = 13

Then, to solve for the number of dimes, we can substitute q into the second equation.

d = q + 2

d = 13 + 2

d = 15


Related Questions

what is the theoretical flow time? (the minimum time required to produce a garage door from start to finish.) the potential answers are: a: 50 minutes. b: 54 minutes. c: 26 minutes. d: 56 minutes. e: 58 minutes.

Answers

Theoretical flow time = 58 minutes

The complete question is

Mamossa Assaf Inc. fabricates garage doors. Roofs are punched in a roof punching press (15 minutes per roof) and then formed in a roof forming press (8 minutes per roof). Bases are punched in a base punching press (3 minutes per base) and then formed in a base forming press (10 minutes per base), and the formed base is welded in a base welding machine (12 minutes per base). The base sub-assembly and the roof then go to final assembly where they are welded together (10 minutes per https://brainly.com/question/27786618garage) on an assembly welding machine to complete the garage. Assume one operator at each station.

Roof → Roof - punch(15 min) → Roof-form(8 min) →→→→→→→→↓

                                                                                      (10)Assembly→ Door

Base → Base - punch(3 min) → Base - form(10 min) → weld(12 min)↑

Roof path = 15 + 8 = 23

Base path = 3 + 10 + 12 =25

Theoretical flow time = Roof path + base path + assembly = 23 + 25 +10 = 58 mins

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Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age a.


An equation is

=10.


You are

12 years old.

Answers

The required age from the equation is 12 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age to be calculated be = a

The age of the brother be b = ( 1 / 3 ) a

Multiply by 3 on both sides , we get

a = 3b

So , Age to be calculated a = 3b

The age of sister c = 6 years elder than brother

So ,

The age of sister c = b + 6

The age of sister c = 10

From the equations , we can simplify that

c = b + 6

Substituting the value for c , we get

10 = b + 6

Subtracting 6 on both sides , we get

b = 4

Now , from the equation , we get

Age to be calculated a = 3b

                                      = 3 x 4

                                      = 12 years old

Hence , the age to be calculated a is 12 years old

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Solve the system of linear equations by graphing.
- 6x - y = -8
1/2Y = 4-3x

Answers

Answer:

[tex]x=\frac{-8+y}{6}[/tex]

Step-by-step explanation:

Let us evaluate this problem.

First, add Y to both sides

[tex]-6x-y+y=-8+y[/tex]

Always remember to simplify.

[tex]-6x=-8+y[/tex]

Divide both sides by -6

[tex]\frac{-6x}{6} =\frac{8}{-6} +\frac{y}{-6}[/tex]

Simplify one more time.

[tex]x=\frac{-8+y}{6}[/tex]

Your final answer is:
[tex]x=\frac{-8+y}{6}[/tex]

-6v > 48.help meeeeee

Answers

Answer: v<-8

im not sure if that what your looking for but

Simplify 1 over 6x + 3 over 4 ( 1 over 2x - 4)

Answers

The after simplification of the expression 1 over 6x + 3 over 4 ( 1 over 2x - 4), we get (26 - 144)/48x.

We need to simplify 1 over 6x + 3 over 4 ( 1 over 2x - 4)

1/6x + 3/4 (1/2x - 4)

1/6x +3/4 ((1 - 8x)/2x)

1/6x + (3 - 24x)/8x

(8 + 6(3 - 24x))/(6x8) x

(8 + 18 - 144x)/48x

(26 - 144)/48x

Therefore, the after simplification of the expression 1 over 6x + 3 over 4 ( 1 over 2x - 4), we get (26 - 144)/48x.

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Find the missing side of the triangle.

Answers

The missing side is 16 because in a 30-60-90 (angles) triangle the hypotenuse is equal to 2 multiplied by the side across from angle 30 or 8 in this problem.

8*2=16
X=16

Determine the effective tax rate for a taxable income of $63,425. Round the final answer to the nearest hundredth.

Answers

Answer:

The effective tax rate for a taxable income of $63,425 is 15.18%.

Step-by-step explanation:

A spherical snowball is melting. Its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm. How fast is the volume decreasing 5 minutes later? give your answer in cubic centimeters per minute.

Answers

Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.

Define differentiation.

Differentiation is the process of determining a function's derivative. Differentiating algebraic functions, trigonometric functions, and exponential functions are the three fundamental derivatives. The velocity is the rate at which a displacement changes in relation to time. A differentiation example would be this. The first derivative of displacement is velocity. The second derivative of displacement is acceleration.

Given,

The radius is decreasing at a rate of dr/dt = 3.

R = 100 cm is the beginning value of the radius.

The duration is t = 25 minutes.

Volume of snowball:

V = 4/3π(100 - 3r)³

Differentiating:

dV/dt = 4/3 × 22/7 (3)(-3)(100-3(25)²)

dV/dt = -23561.94 cm³

Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.

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1= Prt.
You deposit $2,500 into an account
earning Simple interest. The
interest rate is 1.75%
How much money will be in the
account after 8 years?
-How much interest will be earned
5 years?
in

Answers

Part a

There will be $2850 in the account after 8 years

Part b

The amount of interest earned in 5 years is $218.75

The principal amount = $2500

The interest rate = 1.75%

The time period = 8 years

Part a

The simple interest

A = P(1  + rt)

Substitute the values in the equation

A = 2500(1 + (1.75/100)×8)

A = 2500( 1 + 0.14)

A = 2500( 1.14)

A = $2850

Part b

The time period = 5 years

Simple interest = Prt

= 2500 × (1.75/100) × 5

= 2500 × 0.0175 × 5

= $218.75

Hence,

Part a

There will be $2850 in the account after 8 years

Part b

The amount of interest earned in 5 years is $218.75

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What is the answer to this question

Answers

Answer:

x = 11

Step-by-step explanation:

Let's have  one of the numbers be represented by the variable, x,  and the other number be represented with the variable, y

Since the sum of the two numbers is 55, we can write the following equation:

x + y = 55

Then since one number is 4 times as large as the other, we can write:  y = 4x

We can now substitute this expression for y into the second equation and solve by

combining like terms and using inverse operations to solve for x:

x + y = 55

x + 4x  = 55

5x = 55

5x/5 = 55/5

x = 11

One of the numbers is 11.

Since the sum of the numbers is 55, the other number will be 44.

Answer:

11 and 44

Step-by-step explanation:

→ Write 2 equations

x + y = 55

y = 4x

→ Substitute bottom equation into top

x + 4x = 55

→ Solve

x = 11

→ Find y

4 × 11 = 44

The ratio of 19 yellow beads to 4 red

Answers

Answer:

the answer is 19: 4

Step-by-step explanation:

19:4

I need help on this !!!

Answers

We can make 75 different outfits by using the fundamentals of the counting principles.

Fundamental of counting principles: It states that if there are m ways of making one choice, n ways of making a second choice, and p ways of making the third choice then there are m x n x p ways of making the first choice, followed by the second choice, and followed by the third choice.

Given that:

The different number of tops (m) = 5

The different number of bottoms (n) = 5

The different number of shoes or boots (p) = 3

Then, according to the fundamental of counting principles, we will multiply the different numbers of tops (m) which is the first choice, different numbers of bottoms (n) which is the second choice, and different numbers of shoes or boots (p) which is the third choice.

Therefore, the different outfits we can make = m x n x p

                                                                            = 5 x 5 x 3

                                                                            = 75 different outfits

Hence, we can make 75 different outfits.

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The PTA is purchasing 5 gallon tubs of ice cream for
ice cream sundaes. One gallon of ice cream is 16 Cups
b) How many 1 cup servings are in a 5 gallon tub?

Answers

5 gallon tubs of ice cream will make 80 cups of ice cream servings.

According to the question,

We have the following information:

The PTA is purchasing 5 gallon tubs of ice cream cups. One gallon of ice cream is 16 Cups.

Now, we know that when we have to find cost or number of any product then we use multiplication.

Now, we have the following expression:

1 gallon of tub = 16 cups of ice cream

5 gallon of tubs = 5*16 cups of ice cream

5 gallon of tubs = 80 cups of ice cream

Hence, 5 gallon tubs of ice cream will make 80 cups of ice cream servings.

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Please help this is due tomorrow
If W(-10, 4). X(-2, 71), and Y(-5, 10) classify triangle WXY by its sides. Show all work to justify your answer.​

Answers

If W(-10, 4), X(-2, 71), and Y(-5, 10), triangle WXY is an isosceles triangle.

What is an obtuse scalene triangle?

An obtuse scalene triangle is a triangle in which one of the angles is greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees. The measurements of all three sides and angles

Distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

The given points are W(-10, 4), X(-2, 71), and Y(-5, 10) .

Let's find the length of WX.

                         [tex]WX = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WX = \sqrt{(-2 -(-10))^2 + (71-4)^2}\\\\WX = \sqrt{(8)^2 + (67)^2}\\\\WX = \sqrt{64 + 4489}\\\\WX = \sqrt{64 + 4489}\\\\WX=67.47[/tex]

Now find the length of XY.

                        [tex]XY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\XY = \sqrt{(-5-(-2))^2 + (10-71)^2}\\\\XY = \sqrt{(-3)^2 + (-61)^2}\\\\XY = \sqrt{9 + 3721}\\\\XY=61.07[/tex]

Now find the length of WY.

                      [tex]WY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WY = \sqrt{(-5-(-10))^2 + (10-4)^2}\\\\WY = \sqrt{(5)^2 + (6)^2}\\\\WY = \sqrt{25+36}\\\\WY=7.81[/tex]

So from calculations, we can say that triangle is an obtuse scalene triangle.

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Need help asap. Simplify the expression 4/x-3/x show work

Answers

Answer:

1/x

Step-by-step explanation:

2
2 points
If I || m, find the value of x and y.
(7x + 12)
(12x - 28)
(9y-77)"
m

Answers

If I || m, find the value of x and y.

Given (7x + 12)

(12x - 28)

(9y-77)

What does the term " l || m " represents?

This term indicates that the line 'l' is parallel to the line 'm'.

It can be seen that, ∠(7x + 12) and ∠(12x - 28) from alternate interior angles as line 'l' and 'm' are parallel. These angles will be equal to each other. Therefore, we can write -

7x + 12 = 12x - 28

12x - 7x = 12 + 28

5x = 40

x = 8

Now, ∠(12x - 28) and ∠(9y - 77) form a straight angle. Therefore, we can write -

(12x - 28) + (9y - 77) = 180

(12 x 8 - 28) + (9y - 77) = 180

68 + 9y - 77 = 180

9y = 180 + 9

9y = 189

y = 21

Hence the answer is, the values of [x] and [y] will be 8 and 21 respectively.

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5.1 contracts for two construction jobs are randomly assigned to one or more of three firms, a, b, and c. let y1 denote the number of contracts assigned to firm a and y2 the number of contracts assigned to firm b. recall that each firm can receive 0, 1, or 2 contracts. a find the joint wackerly, dennis; mendenhall, william; sheaffer, richard l.. mathematical statistics with applications (p. 232). cengage textbook. kindle edition.

Answers

The solutions are;

The joint probability of y1 and y2 is  [tex]\left[\begin{array}{ccc}0\\1\\2\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right][/tex] and F(1,0) = 1/3.

Given data;

Let y1 signify the number of contracts awarded to firm a and y2 the number of contracts assigned to firm b. Recall that each firm can receive 0, 1, or 2 contracts. Contracts for two construction tasks are randomly assigned to one or more of three firms, a, b, and c.

To find,

(a) The joint probability function for  y₁ and y₂

Let y₁ denote the number of contracts assigned to firm A,

y₂ the number of contracts assigned to firm B

      y₁

      [tex]\left[\begin{array}{ccc}0&1&2\\\\\end{array}\right][/tex]

        y₂

[tex]\left[\begin{array}{ccc}0\\1\\2\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right][/tex]

(b) Find F(1,0)

F(1,0) =  p(y₁ ≤ 1, y₂ ≤ 0)

         = p(0,0) + p(1,0)

         = 1/9 + 2/9

         = 1/3.

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what is 3/36 times 60

Answers

Answer:

5

Step-by-step explanation:

Answer: The answer to that would be 5.

Step-by-step explanation:

Hope this helps!

Noemi strings together x green beads at $0. 75 each with 3 blue beads at $0. 30 each. She makes a bracelet that averages $0. 60 per bead. Choose an equation to model the situation.

Answers

The model equation for the given situation is

$0.75x + $0.90)/(3 + x) = $0.60 where,

x ----> known number of green beads

$0.60 ---> bracelet average per bead

Averages cost is defined as the ratio of total cost of all purchsed expenses to the total numbers of purchsed expenses in counts .

We have given that,

Noemi strings x green beads and 3 blue beads.

Cost of each green beads = $0.75

Cost of each blue beads = $0.30

Total cost of purchasing is product of total number of expenses by cost of each expense. So, Total cost of green beads = $ 0.75 x

Total blue bead cost = 3 x 0.3 = $ 0.9

Total number of beads used by Noemi = x + 3

Total cost of all beads (green+blue)

= $(0.75x + 0.9

Average of bracelets is $0.60 per bead

So average formula ,

($0.75 x + $0.9)/(x+3) = $0.60

or 0.75 x + 0.9 = 0.60x+ 0.18 => 0.75x - 0.60x= 0.9

=> 0.15x = 0.9 => x = 6 i.e we get total 6 green beads if solve the model.

Hence, equation of model in this situation is

($0.75 x + $0.9)/(x+3) = $0.60

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A ladder 13m long reaches a window which is 5m above the ground , on one side of the
street. Keeping its foot at the same point,
the ladder is turned to the other side of the street
to reach a window at a height of 12m. Find the
width of the street.

Answers

The ladder is 13 m long and leans against a window 5 m high, then the ladder leaned to the other side without moving its feet to reach the 12 m high window.

How to find the width of the street?

if we imagine a leaning ladder it will look like a right triangle and it will remind us of the Pythagorean theorem. do you remember the pythagorean theorem?

The Pythagorean theorem explains the relationship or relationship between the lengths of the sides of a right triangle.

The Pythagorean theorem reads: "The square of the length of the hypotenuse (hypotenuse) in a right triangle is equal to the sum of the squares of the lengths of the other sides".

in the picture, let's say if the width of the street is a, the height of the window is b and the length of the stairs is c.

in this case we will find the width of the street, namely a, then we use formula a² = c² - b² .

then it will be

b = 12

c = 13

a² = c² - b²

a² = 13² - 12²

a² = 169 - 144

a² = 25

a = 5

So the width of the street is 5 m

Solve negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity end quantity.

18 over 80
one eighth
negative one and 28 over 80
negative five eighths

Answers

The value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.

We are given the following expression:

Negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity.

Rewrite the given expression properly as:

-1/5 * (4 - 14) * (1/4)^2

Evaluate the difference, we will get;

-1/5 * (-10) * (1/4)^2

Evaluate the exponent, we will get;

-1/5 * (-10) * 1/16

This gives us;

2 * 1/16

Further, evaluation give us;

1/8

So, the value of the given expression is 1/8 or one eighth.

Option B is correct.

Thus, the value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.

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What is the domain of the exponential function y = 8^x+2?

Answers

hola buenas tardes como está el día de hoy ? yo estoy bien gracias por preguntar, espera...hablas español verdad...?

Answer: All real numbers

Step-by-step explanation: It is pretty simple. Just see if the x can be undefined. In this case x works with every number. So, it's all real numbers

8. Dagne measures and finds that she can do a vertical jump that is 27.5% of her height. If Dagne can jump 13.2 inches, how tall, in inches, is she

Answers

36.3 inches the tall is she in.

Given that;

Percentage of vertical jump height = 27.5%

Dagne's height = 13.2 inches

We need to find:

Height of jump

We know that the formula for Computation:

Height of jump = Percentage of vertical jump height × Dagne's height

so,

Height of jump = 13.2 × 27.5

That equals to

Height of jump = 36.3 inches

Hence the answer is 36.3 inches the tall is she in.

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A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.

Answers

The 95% confidence interval for the average apple weight is (119.14, 125.86).

Given info,

The average weight per apple, according to one manufacturer, is 120 grams, with a standard deviation of 12 grams. The average weight per apple, according to data produced from a sample of 49 apples drawn at random from a shipment, was 122. 5 grams.

Let,

n = 49

x = 122.5

σ = 12

To calculate and interpret a 95% confidence interval for the mean weight per apple;

∴ A 95% confidence interval is given by,

(x ± 1.96*σ/√n)

(122.5 ± 1.96*12/√49)

(119.14, 125.86)

Hence, a 95% confidence interval for the mean weight per apple is  (119.14, 125.86).

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Given s(x) = 2x - 3 and t(x) = 5x + 4. Find the formula and domain for v(x) = and w(x) =.

Answers

With the exception of x=4/5, the domain of s(x) over t(x) is all real numbers. Except when x=-3/2, all real numbers fall within the domain of w(x).

Given,

The value of the independent variable, often x, for which the supplied function is specified is the domain of a function.

When the value of the denominator falls to zero, a function that is composed of the fraction of two polynomials is not defined.

The numerator of t(x) should not be zero since the domain of s(x) over t(x) will be all real integers except the numerator of zero.

t(x) = 0

5x + 4 = 0

5x = -4

x = -4/5

With the exception of x=-4/5, all real numbers fall into the domain of s(x) over t(x).

Similar to w(x), s(x) should not be zero because the domain of w(x) will be all real numbers except for the one that makes the denominator equal to zero.

s(x) = 0

2x - 3 = 0

2x = 3

x = 3/2

With the exception of x=-3/2, all real numbers fall within the domain of w(x).

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You can use indirect measurement to estimate the height of a flag pole. First measure your distance from the base of the flagpole and the distance from the ground to a point on the flag pole that you are looking at. Maintaining the same angle of sight, move back until the top of the flag pole is in your line of sight. Explain why AABC and ADBE are similar. a. b. What is the height of the flagpole? E 7.5 ft Bi AT 4.5 ft 51-22 ft- D T 4.5 ft​

Answers

The height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.

What is the similarity law for triangles?

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

You can use indirect measurement to estimate the height of a flag pole.

Given:

AC || DE

The common angle: Angle B = Angle B

Angle BAC = Angle BDE

Triangle ABC = Triangle DBE (By AA rule)

BC/BE = BA/BD

(7.5 - 4.5)/BE = 5/22

BE = 13.2

The height of the flag pole

h = BE + 4.5 = 13.2 + 4.5 = 17.7 ft

Thus, the height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.

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Answer question in picture

Answers

Answer: 0 = 70º

Step-by-step explanation: Solve sin(π/9) = cos(0) to find angles

4. 6 2/3 divided by 8

Answers

Ok so first you have to make 6 2/3 an improper fraction. So multiply 6 by 3 and add it to 2. That gives you 18 +2 which is 20. Now you have 20/3 divided by 8. Dividing is the same as multiplying by the reciprocal so 20/3 /8 is the same as 20/3 * 1/8. Now do cross simplification and you get 5/3 *1/2 which gets you 5/6

Find the value of x.

Answers

Answer:

C (41)

Step-by-step explanation:

A straight line has 180 degrees in it. all you would have to do is is add the known numbers, 16 + 123, getting 139. Then subtracting 139 from 180m. You would then get 41.

Answer:

x=41

Step-by-step explanation:

(X+16)+123=180

x+139=180

 -139. -139

x=41

Hopes this helps please mark brainliest

4^5-9x = 1/8^x-2

what is x equals? and the steps
.. please

Answers

You can ask where you don't understand.

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The War of the Worlds. Then, choose the best answer.How is the wife characterized? why is an output level at which mr intersects mc from below never the profit-maximizing level of output? Joan has $ 60 to buy her friends a gift bag. The gift bags are $ 4 each. The function f ( x ) = 4 x + 60 represents the amount of money Joan has left in her budget after purchasing x number of gift bags. Complete the statements. The solution for f ( x ) = 72 is x = [DROP DOWN 1] which [DROP DOWN 2] a viable solution in this scenario.DROP DOWN 1 -3-15315DROP DOWN 2isis not The title specifies the title for the link, true or false? Name two language features the author uses in order to achieve the purpose of the textIt is recommended that an adult has a minimum of 75 minutes of vigorous aerobic activity a week and, on at least two days a week , perform muscle-strengthening exercises. At Jim's Gym, we recognise the importance of keeping fit and we want to make the experience as comfortable and enjoyable as possible for you. We have a range of state-of-the-art equipment for cardio-vascular workout and muscle building. We also have a 20m pool and a spa. Every week, we run 10 classes ranging from relaxing yoga and pilates to high -energy body pump. If you're looking for a personal training programme, we have a team of six excellent personal trainers with a combined 50 years experience between them. After using our facilities , you can complete your experience with a meal or a drink in our members -only caf. We have a choice of membership schemes to suit all: from basic membership to platinum membership entitling you to sign in guests and access all our weekly exercise classes. (See our website for more information.) Why not drop in to arrange your free session and guided walk through all our facilities ? We hope to see you soon. an approach to firm internationalization in which headquarters delegates considerable autonomy to each country manager, allowing him or her to operate independently and pursue local responsiveness is called . What is meiosis step by step? Which characteristics apply to Egyptian mummy portraits of the Greco-Roman Era?Choose all answers that are correct.A: They included shrouds that showed the dead surrounded by Egyptian gods.B: They were made on metal plates using the encaustic technique.C: They were done in a Greek style of painting, showing people in Roman fashion.D: They were done in realistic Greek style rather than using Egyptian formulas.(first CORRECT answer gets brainliest) Which of the following is set out in Article 6 ofthe Constitution, naming the document as thelaw above all other laws in the United States?A. PreambleB. Supremacy ClauseC. Amendments the crucial fighting in europe took place between germany and the soviet union, including the german siege of stalingrad. select stalingrad, which is considered the turning point of the european war, on the map. Please help quick!!! 1. Explain how and why staying informed about public issues is part of being a responsible citizen. 2. Explain how and why serving on a jury when called is part of being a responsible citizen. 3. The Founding Fathers saw civic virtue as taking an active role in improving America. How do you think this is different from being a responsible citizen? What is an example of being a responsible citizen that does not require taking an active role? 4. Explain the impact citizen involvement can have at the local, state, and federal levels. suppose megan gets a sales bonus at her place of work that gives her an extra $400 of disposable income. she chooses to spend $300 and save the remaining $100. from this, you can tell that megan's marginal propensity to consume (mpc) is , and her marginal propensity to save (mps) is . mathematically, it must always be true that: disposable income A weightlifter lifts 72kg. Which of the following weights is the same as 72kg? (1kg=1,000g)720 g720,000 g72,000 g30,000 g What is the benefit of password policy? - Olaudah EquianoWhat is the author's MAIN purpose in including information about how the whitemen looked and spoke? The following angles are supplementary to each other.mA = (4x + 30) and mB = (2x 30)Determine x. 15 20 30 60 2x4+6+5x8=_______________will mark brainiest a) How many times does the line y = -6 intersect with the circle x + y = 36 ?b) Hence, use a single word to describe what the line is to the circle. Brett and Julian sign up to run in the Memorial Day race in their town. There are two different events at this race, a 5k and a 10k. Brett signed up for the 5k and Julian signed up for the 10k. Think of when both Brett and Juan would have finished 3/5 of their races. How many kilometers has each person run at this point? Discuss the consequences of court organization in approximately