8 1/2 = 7 ?/2
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7 times the product of -6 and a number. Let the number be

a. Now, "the product of" means we multiply.

Multiply -6 times a: -6a

If you notice, we write the number before the variable.

Now, multiply 7 times -6a:

7(-6a)

Simplify:

-42a

I hope this helps!

Have a Great Day!

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[tex]\bf{Mysterious^a^n^d\:M^a^gi^ca^l[/tex]

Answer:

Step-by-step

Monthly payments on a $200,000 mortgage

At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.explanation:

hope this helped

Monthly payments on a $200,000 mortgage

At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.

The amount of money which is paid back to the lender at the end of the 15 years is $353,750.

Interest in simple terms is the extra amount that you have to pay if you borrow money or the extra money you get if you lend the money.

Given that,

Principal amount of the mortgage = $200,000

Rate of interest, r = 5.125% = 0.05125

Number of years, t = 15 years

Simple interest = Prt

                         = 200,000 × 0.05125 × 15

                         = 153,750

Total money paid back to lender = Principal amount + Interest amount

                                                       = $200,000 + $153,750

                                                       = $353,750

Hence the money paid back is $353,750.

Learn more about Interest here :

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Answer:

x = 145

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360

35+x+35+x = 360

2x+70 = 360

Subtract 70 from each side

2x+70-70 = 360-70

2x = 290

Divide by 2

2x/2 =290/2

x = 145

Answer:

x=145

(145+145+35+35=360)

Step-by-step explanation:

This question is very simple to answer if you remember that all parallelograms have two pairs of equal and opposite angles, and that the four angles in any quadrilateral must add up to 360 degrees.

Answer:

35 percent of 105 is 36.75 .

Answer:

40 grams of 40% sugar syrup

Step-by-step explanation:

It is 40g because you are adding 10g of sugar to 30g of syrup

It is 40 % syrup because you start out with 20% sugar in 30 g. That means the 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.

Make equation to find percent

16/40=x/100

x=40

If you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make 40 grams of 40% sugar syrup.

Answer:

Step-by-step explanation:

Q.1.

[tex]ln\left(4\right)+\:ln\left(x\right)=ln\left(24\right)[/tex]

apply ln rules:

[tex]ln( 4 * x) = ln (24)[/tex]

cancel ln from both sides:

[tex]4x = 24[/tex]

divide both sides by 4:

[tex]x = 6[/tex]

Q.2.

[tex]2ln\left(x\right)=ln\left(4\right)+ln\left(9\right)[/tex]

apply ln rules:

[tex]ln\left(x^2\right)=ln\left(4*9\right)[/tex]

cancel ln from both sides:

[tex]x^2 = 36[/tex]

[tex]x = \pm6[/tex]

as ln cannot be negative:

[tex]x = 6[/tex]

Answer:

  50 kg

Step-by-step explanation:

Put the given numbers into the given formula and do the arithmetic.

  q = q0(2^(-t/k))

  q = (87 kg)(2^(-20/25)) = (87 kg)(0.574349)

  q ≈ 50 kg

The amount remaining after 20 years is about 50 kg.

Here BD is perpendicular bisector

So

[tex]\\ \tt\hookrightarrow UV=74+74=148[/tex]

Apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow BD^2=UD^2-UB^2=UD^2-VD^2[/tex]

[tex]\\ \tt\hookrightarrow TC^2=TD^2-CD^2[/tex]

[tex]\\ \tt\hookrightarrow TC^2=78^2-30^2[/tex]

[tex]\\ \tt\hookrightarrow TC^2=6084-900=5184[/tex]

[tex]\\ \tt\hookrightarrow TC=72[/tex]

Answer:

UV = 148

VD = 78

TC = 72

Step-by-step explanation:

BD is the perpendicular bisector of side UV.

Therefore, ΔUDV is an isosceles triangle.

This implies that UD = VD and BV = UB so UV = 2 x BV

ΔUDC is a right triangle.

Given CD = 30 and UD = 78,

and using Pythagoras' Theorem, we can calculate UC:

UC = √(UD² - CD²)

⇒ UC = √(78² - 30²)

⇒ UC = 72

CD is the perpendicular bisector of side UT.

Therefore, ΔUDT is an isosceles triangle, so UC = TC

Since UC = 72, then TC = 72

Using the normal distribution, it is found that the median of the MCAT scores was of 500.9.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean score was 500.9, hence the median score was also of 500.9.

You can learn more about the normal distribution at https://brainly.com/question/24663213

According to the question ,

So as per the question if we assume that the babysitter looked after the child for x hours in a week then , the total charge will be ,

→ Charge = $3/hr * x hr= $3x

So the total cost for a week , will be ,

→ Total cost = Base price + Charge

→ Total cost = $25 + $3x

And in the question we are told to assume total cost to be $C . Therefore ,

→ $C = $ (25 +3x)

→ C = 25 + 3x

Hence the required equation is C = 25 + 3x.

I hope this helps.

Answer:

18.60

Step-by-step explanation:

Let's first know what commission meaning:

Commission: Commission is the amount of money an employee earns when they sell something

Now Let's Start Solving:

[tex]Formula:\frac{Part}{Whole} =\frac{percent}{100}[/tex]

[tex]\frac{x}{93} =\frac{20percent}{100}[/tex]

[tex]\frac{1860}{100} =\frac{100x}{100}[/tex]

[tex]\frac{1860}{100}[/tex]

[tex]x= 18.60[/tex]

Hence, Helen earn $18.60 in Commission.

[RevyBreeze]

Answer:

Helen earned 18.60 commission, thank me later! :)

Answer:

It's A :)

Step-by-step explanation:

ur welcome

Answer:

i took the test⬇️

Answer:

Step-by-step explanation:

Taking the log of both sides, we get:

a log 2 = b log 3

                                                                     b log 3

Dividing both sides by log 2 yields  a = ------------------

                                                                       log 2

Finally, dividing both sides by b yields the desired ratio, a/b:

a         log 3

---- = --------------

b         log 2

Answer:

56

Step-by-step explanation:

8 x 8 = 64

4 x 4 = 16

16/2 = 8

64-8 =56

Answer:

  GPA ≈ 2.67

Step-by-step explanation:

Grade points are weighted by credit hours:

  GPA = ∑(grade points×credit hours) / ∑(credit hours)

  GPA = (3×2 +2×4 +4×3 +2×3)/(2 +4 +3 +3)

  = (6 +8 +12 +6)/12 = 32/12 = 2 2/3

  GPA ≈ 2.67

Answer:

I believe the answer is B.1

Answer:

Step-by-step explanation:

Total number of ornaments:

a)

b)

c)

Answer:

8)

total ornament: 24 + 12 + 8 + 19 = 63

a. probability its a gold ornament: [tex]\frac{12}{63}[/tex] → [tex]\frac{4}{21}[/tex]

b. probability its a silver ornament: [tex]\frac{24}{63}[/tex] → [tex]\frac{8}{21}[/tex]

c. probability she will get gold or silver ornament:   [tex]\frac{24}{63}[/tex] +  [tex]\frac{12}{63}[/tex] = [tex]\frac{4}{7}[/tex]

Answer:

It will be: ( 5x - y =7 )4

20x - 4y = 28

Option (C)

Answer:A≈1017.88

Step-by-step explanation:

Answer:

A = 1017.88

Step-by-step explanation:

srry if its wrong ;-;

Answer:

6

Step-by-step explanation:

First divide 9 by 25 to get 0.36 and then divide 3 by 50 to get 0.36 . Finally divide the first result which os 0.36 by the second result which is 0.06 to get 6

Answer:

-1, 0, 1, 2, 3, 4, 5 are the values greater than -2

Step-by-step explanation:

Let's imagine a number line.

Numbers that are bigger are on the right side of the number line.

The numbers to the right of -2 are:

And so on...

Numbers that would be less than -2 will be on the left side

etc...

-Chetan K

Answer:

-1,0,1,2,3,4,5

ep-by-step explanation:

think of it on a number line

Answer:

12 cm, 7 cm, 5 cm will not make a triangle

Step-by-step explanation:

The Triangle Length Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. 7 + 5 = 12 which isn't greater than 12.

Answer:

The area of the drawing is 12 Squares

Answer:

551/1650

Step-by-step explanation:

(58/100)(57/99)=551/1650

Answer:

a = 10; a = 2

Step-by-step explanation:

Step 1: Use the Pythagorean theorem to solve this equation

    1. Orignal eqaution: (a + 2)² + (a - 5)² = (a + 3)²

    2. Expand (a + 2)² + (a - 5)² which will give us 2a² - 6a + 29

    3. Expand (a + 3)² giving us a² + 6a + 9

    4. Simplified equation: 2a² - 6a + 29 = a² + 6a + 9

Step 2: Subtract 9 from both sides

    1. 2a² - 6a + 29 - 9 = a² + 6a + 9 - 9

    2. Simplify: 2a² - 6a + 20 = a² + 6a

Step 3: Subtract 6a from both sides

    1. 2a² - 6a + 20 - 6a = a² + 6a - 6a

    2. Simplify: 2a² -12a + 20 = a²

Step 4: Subtract a2 from both sides

    1. 2a² - 12a + 20 - a² = a² - a²

    2. Simplify: a² - 12a + 20 = 0

Step 5: Use the quadratic formula to solve for a

    1. Quadratic formula: a = -b += √b² - 4ac/2a

    2. Plug in the correct values: a = -(-12) += √(-12)² + 4(1)(20)/2(1)

    3. Simplify the numerator and denominator: 12 += 8/2

    4. Final equation: a = 12 - 8/2  or a = 12 + 8/2

    5. Hence, the answer is 10 or 2

The expression which has the greatest value is; Choice B: f(g(-2))

The value of g(f(-4)) when f(x)= 4x+5 and g(x) = 4x^2 -5x - 3 is; 586

Question 1;

From the information given;

Hence, from the options given; upon substitution, it follows that the expression with the greatest value is;

Question 2;

From the task content;

Hence, upon substitution of -4 into the function;

Read more on functions of functions;

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