LEMON SQUASH 1 part concentrate to 2 parts water If you put 25 ml of concentrate in a glass, how much water should be added? ml​

The new hourly rate using compatible numbers is $21.

Given,

The earnings of Mrs. Gomez = $19.50 per hour

She gets a raise of 5%

We have to estimate her new hourly rate by using compatible numbers.

Compatible numbers:

Compatibility in mathematics refers to the mental ease with which a number can be added, subtracted, multiplied, or divided. Compatibility refers to the proximity of the compatible numbers to the real numbers, which facilitates estimation of the solution and simplifies problem-solving.

So,

Compatible number of 19.50 is 20.

The amount raised = 20 × 5/100 = 5/5 = $1

Now, the new hourly rate = 20 + 1 = $21.

That is, the new hourly rate using compatible numbers is $21.

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Answer:

x=17

Step-by-step explanation:

2x-3+3x+8=90

5x=85

x=17

:]

A.Congruent triangles)

Equations with solution x = 9 are:

81/x - 3 = 6

2x - 3 = 15

To determine the equation whose result ives x = 9, we need to solve each of the equation in the question

a) 4 + 5x = 18

5x = 18 - 4

5x = 14

x = 14/5

This is not x = 9 (option is wrong)

b) 24 - 2x = 13

24 - 2x + 2x = 13 + 2x

24 = 13 + 2x

24 - 13 = 2x

11 = 2x

x = 11/2

This is not x = 9 (option is wrong)

c) x/3 + 7 = 8

x/3 = 8 - 7

x/3 = 1

x = 3(1) = 3

This is not x = 9 (option is wrong)

d) 3x + 2 = 25

3x = 25 - 2

3x = 23

x = 23/3

This is not x = 9 (option is wrong)

e) 81/x - 3 = 6

81/x = 6 + 3

81/x = 9

81 = 9x

x = 81/9

x = 9

This equation has the sloution x = 9

f) 2x - 3 = 15

2x = 15 + 3

2x = 18

x = 18/2

x = 9

This equation has the sloution x = 9

Answer:

-32q-6

Step-by-step explanation:

Please look at the attachment! Hope this helps! ~~

Answer : -0.3125 + q + 0.5

1) Distribute

10 - 32q - 16

2) Divide all terms by -32

-0.3125 + q + 0.5

Answer:

You've gotta be kidding me...It's easy come on

-2 is the answer

Step-by-step explanation:

f(x)= -x-1        JUST SUBSTITUTE 1 FOR X

f(1)= -(1)-1

f(1)= -2

The vertices of the path of the comet E are; (-12,0) and (+12,0) as it is moving an elliptical path.

Comet 'E' is modeled by

((y + 16)²)/400 + (x²)/144 = 1

This is an equation of an ellipse. So, the path traveled by Comet E will be an elliptic path.

Comparing with the equation of ellipse;

((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1

whose; Centre is (h,k) and Vertex is (h±a, 0)

On Comparing Centre (h, k), h= 0 and k = -16,

a²=144

a = 12

b²=400

b=20

So, Centre (0, -16),

The Vertex (-12,0) and (+12,0)

So, the vertices of the path of the comet E are; (-12,0) and (+12,0).

Part B: The path of Comet H has been modeled as; a horizontal hyperbola.

Thus, The Comet H travels closer to the sun.

Part C: The sun represents the one of the foci of both the Comet E and Comet H.

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Answer:

x = 1, y = -4, z = -5

Step-by-step explanation:

Solve the following system:

{x = -4 z - 19 | (equation 1)

{y = z + 5 x - 4 | (equation 2)

{-z - 5 y = 25 | (equation 3)

Express the system in standard form:

{x + 0 y + 4 z = -19 | (equation 1)

{-(5 x) + y - z = -4 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Swap equation 1 with equation 2:

{-(5 x) + y - z = -4 | (equation 1)

{x + 0 y + 4 z = -19 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Add 1/5 × (equation 1) to equation 2:

{-(5 x) + y - z = -4 | (equation 1)

{0 x + y/5 + (19 z)/5 = -99/5 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Multiply equation 2 by 5:

{-(5 x) + y - z = -4 | (equation 1)

{0 x + y + 19 z = -99 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Swap equation 2 with equation 3:

{-(5 x) + y - z = -4 | (equation 1)

{0 x - 5 y - z = 25 | (equation 2)

{0 x + y + 19 z = -99 | (equation 3)

Add 1/5 × (equation 2) to equation 3:

{-(5 x) + y - z = -4 | (equation 1)

{0 x - 5 y - z = 25 | (equation 2)

{0 x + 0 y + (94 z)/5 = -94 | (equation 3)

Multiply equation 3 by 5/94:

{-(5 x) + y - z = -4 | (equation 1)

{0 x - 5 y - z = 25 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Add equation 3 to equation 2:

{-(5 x) + y - z = -4 | (equation 1)

{0 x - 5 y + 0 z = 20 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Divide equation 2 by -5:

{-(5 x) + y - z = -4 | (equation 1)

{0 x + y + 0 z = -4 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Subtract equation 2 from equation 1:

{-(5 x) + 0 y - z = 0 | (equation 1)

{0 x + y + 0 z = -4 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Add equation 3 to equation 1:

{-(5 x) + 0 y + 0 z = -5 | (equation 1)

{0 x + y + 0 z = -4 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Divide equation 1 by -5:

{x + 0 y + 0 z = 1 | (equation 1)

{0 x + y + 0 z = -4 | (equation 2)

{0 x + 0 y + z = -5 | (equation 3)

Collect results:

Answer: {x = 1, y = -4, z = -5

Answer: 45%

Step-by-step explanation: 45% of 1,900 is 855

Answer:

See below

Step-by-step explanation:

Point slope form

y - - 8 = (-1)(x -3)      re-arrange

y + 8 = -x+3

y = -x - 5

we have that he paid 4 dollars due the delivery. So each pizza costs

so the equation to find the price r is

The average change per hour is: -4 F/h

So the temperature decreases by 4 degrees Fahrenheit each hour.

To get the average change in degrees per hour, we need to take the quotient between the change in temperature and the number of hours in which this happens.

We know that initially the temperature is 0F

The final temperature is -12F

and this happens on an interval of 3 hours, then the average change per hour is:

(-12F - 0F)/3h = -12F/3h = -4 F/h

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Answer:  Elga is 16 years old

Step-by-step explanation: so first you divide 96 by 2 and get 48, 48 divided by 3=16,

please mark brainliest if this helps :)

Work Shown:

x = Elga's age

3x = Alvin's age since he is 3 times older

x+3x = 4x = sum of their ages

4x = 96

x = 96/4

x = 24 is Elga's age

3x = 3*24 = 72 is Alvin's age

Check: 24+72 = 96 which confirms the answer.

The cost of each bag of lemons is $4.71

Let y represent the cost of lemon

Angel pays $29.80 for both the cookies and lemon

He pays a total of $6.25 for the cookies

He buys 5 bags of lemons

The equation can be expressed as

6.25 + 5y= 29.80

collect the like terms

5y= 29.80-6.25

5y= 23.55

divide by the coefficient of y which is 5

y= 23.55/5

y= 4.71

The result of y from the equation is 4.71

Hence each bag of lemon costs $4.71

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Step 1:

First, write the general equation of a circle

Step 2:

Question 1

Question 2

Question 3

Question 4

Question 5

The coordinates of A"B"C" are as follows :

A = 1 1/2,3

B = 1 1/2,0

C = -4 1/2, 3.

Using one or more numbers, or coordinates, a coordinate system in geometry establishes a unique way to locate points or other geometrical objects on a manifold, such Euclidean space. a group of numbers representing a precise place. On graphs, there are typically two numbers: the first one indicates the length along, and the second one indicates the length up or down. For instance, the value of the point (12,5) is 12 units. In general, alphanumeric characters are used to express GPS coordinates, which are a distinctive identifier of a certain geographic location on the globe. Points of intersection in a grid system are referred to as coordinates in this context. Typically, the latitude and longitude coordinates are used to represent GPS coordinates.

Five units up and along.

90degrees clockwise is x, y, y, -x.

A = 1,2

B = 1,0

C = -3, 2.

Times everything by 3/2 now.

A = 1 1/2,3

B = 1 1/2,0

C = -4 1/2, 3.

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well, the midpoint of segment AB is the center of the circle, so

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{6}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 6 -2}{2}~~~ ,~~~ \cfrac{ 9 +1}{2} \right) \implies \left(\cfrac{ 4 }{2}~~~ ,~~~ \cfrac{ 10 }{2} \right)\implies \stackrel{center}{(2~~,~~5)}[/tex]

now since we know AB is the diameter, so half that distance AB is its radius, so

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{6}~,~\stackrel{y_2}{9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}[/tex]

[tex]AB=\sqrt{(~~6 - (-2)~~)^2 + (~~9 - 1~~)^2} \implies AB=\sqrt{(6 +2)^2 + (9 -1)^2} \\\\\\ AB=\sqrt{( 8 )^2 + ( 8 )^2} \implies AB=\sqrt{ 64 + 64 } \implies AB=\sqrt{ 128 } \\\\\\ AB=8\sqrt{2}\hspace{5em}\stackrel{\textit{half that is the radius}}{\cfrac{8\sqrt{2}}{2}\implies 4\sqrt{2}\implies \sqrt{32}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{2}{h}~~,~~\underset{5}{k})}\qquad \stackrel{radius}{\underset{\sqrt{32}}{r}} \\\\\\ (x-2)^2~~ + ~~(y-5)^2~~ = ~~(\sqrt{32})^2\implies {\large \begin{array}{llll} (x-2)^2~ + ~(y-5)^2~ = ~32 \end{array}}[/tex]

Answer:

  $12

Step-by-step explanation:

You want to know the price increase per 100 meters if the fee for climbing d meters is ...

  f = 110 + 0.12d

The rate of change indicated by the coefficient of d in the equation is 0.12 for each unit of d. Then the amount of change for 100 units of d is ...

  0.12(100) = 12

The price increases by $12 for every 100 meters climbed.

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Answer:

5+8=x

step by step explanation

The required value of the function at x = 4 and 3 is f(4) = -12 and f(3) = -7.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given function ,

f(x) = 8 - 5x
put x = 4
f(4) = 8 - 5(4)
f(4) = 8 - 20
f(4) = -12

Again,
put x = 3
f(3) = 8 - 5(3)
f(3) = 8 - 15
f(3) = -7

Thus, the required value of the function at x = 4 and 3 is f(4) = -12 and f(3) = -7.

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well, the bill was actually "x", which oddly enough is the 100%, but we also know that the tip was $1.05 and that's 15% of the whole bill plus tax.

so if we know that 1.05 is 15% of "x", what the dickens is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 1.05 & 15\\ x& 100 \end{array} \implies \cfrac{1.05}{x}~~=~~\cfrac{15}{100} \\\\\\ 105=15x\implies \cfrac{105}{15}=x\implies 7=x[/tex]

well, as you can see, we know the tax was 8%, but, it doesn't really matter if it had been 25% or who knows, so long we know that 1.05 is 15% of the whole smack.

You would take Alex's distance from the fence, which is 10 feet, and the length of the fence to get the angle.

Finding the angle using the right triangle's trig formulas, sine, cosine, or tangent

neighboring side = 6 feet

obverse side = 10 feet

employ a tangent because

[tex]tan^{-1}\frac{opposite}{adjacent} = tan^{-1}\frac{10}{6} = 59.0[/tex]

About Right triangle's

The formula for a right triangle's area, perimeter, and hypotenuse length are all included in the formula for a right triangle.

In geometry, there are several figure kinds that are distinguished from one another by their unique characteristics. A triangle is one of the shapes they frequently use. A triangle is a closed, three-sided polygonal shape. It has three vertices and three sides that contain the triangle's three interior angles. A triangle's three inner angles always add up to 180 degrees.

Equilateral, isosceles, scalene and right-angled triangles are the most typical triangle types we examine. The right triangle formula, commonly known as the right-angled triangle formulae, will be discussed in this section.

Any interior angle that is 90 degrees in length is said to be in a right triangle. It should be remembered that only one of the three angles may be a right angle because the total interior angle of a triangle is 180 degrees.

Continue reading: Right Angle Triangle

The triangle is referred to as an isosceles right-angled triangle if the other two angles are equal, or 45 degrees each. A scalene right-angled triangle, on the other hand, results from the other two angles being uneven.

Trigonometry is where right-angled triangles are used the most frequently. In reality, trigonometry's foundation is the relationship between its angles and sides.

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Answer: The cost of her phone is $1,820.

45*12=540 per year

540*3=1,820 every 3 years.

She would have had the phone between 2 and 3 years if she had spent 1,500.

Answer:

y - intercept is (0,2)

x - intercept is (3,0)

Step-by-step explanation:

This is standard form.  

Let x  = 0

2x + 3y = 6

2(0) + 3y = 6

3y = 6   Divide both sides of the equation by 3

y  = 2

The y intercepts is (0,2)

Let y = 0

2x + 3(0) = 6

2x = 6  Divide both sides of the equation by 2

x = 3

The x intercept is (3,0)

Answer:

x-intercept (3, 0)

y-intercept (0, -2)

Step-by-step explanation:

        At x-intercept the y = 0. The line passes the x-axis.

             2x  -0 = 6

                   2x = 6

                     x = 6 ÷ 2

                     x = 3

x-intercept (3, 0)

At y-intercept, x = 0 . The line passes y-axis.

      0 - 3y = 6

        -3y  =  6

           y =  6 ÷ (-3)

           y = (-2)

y-intercept (0 , -2)

Plot these two points in the graph and join the points.

Answer:

13

Step-by-step explanation:

A number squared is just a number multiplied by itself.

13 x 13 is 169.

Answer is 13.

Hope this helps!

P.S, Brainliest, please, thanks!

The constant of proportionality when the restaurant is placing an order for paper towels is 12.

It should be noted that the constant of proportionality simply means the ratio that is important to show the proportional relationship between the two given values.

This will be illustrated as:

y = kx

y = Number of paper roll

x = Number of cases ordered

From the table, this will be:

y = kx

12 = k × 1

k = 12

Therefore, the constant of proportionality is 12.

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Answer:

-4/15 - 17

negative 4 over 15 plus negative 17

Step-by-step explanation:

2/3g - 5 - 11/15g - (1/5g +12)

Your wording is extremely confusing but I tried :]

-4/15 - 17

is the correct answer (I think)

:]

The required simplified value of the given expression is -4/15 - 17.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
2 over 3 times g minus 5 minus 11 over 15 times g minus the expression one over 5 times g plus 12 is given as

= 2/3g - 5 - 11/15g - (1/5g +12)

Adding the alike terms,
= 2/3g -11/15g -1/5g -5 -12
= [10 - 11 -3] /15 g - 17
= -4g/15 -17

Thus, the required simplified value of the given expression is -4/15 - 17.

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