Use exponents to write each expression.
6 x 6 x 6 =

Answer:

the total amount that should be paid back at the end of 10 years is £10,200

Step-by-step explanation:

The total amount that should be paid back at the end of 10 years is shown below:

= Borrowed amount + simple interest

= £6000 + (£6000 × 0.07 × 10)

= £6000 + £4,200

= £10,200

Hence, the total amount that should be paid back at the end of 10 years is £10,200

Answer: 126, 126, 152

or

100, 126, 126

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

4 1/2 divided by 1 1/4 = 3 3/5

The distance Ben jogged in one hour is 3 3/5 miles. The correct option is B. 3 3/5 miles

From the question, we are to determine how far Ben jogged in one hour. That is, how far he jogged per hour.

This means we should determine the rate

Using the formula,

Rate = Distance / Time

From the given information,

Distance = 4 1/2 miles

Time = 1 1/4 hours

∴ Rate = 4 1/2 ÷ 1 1/4

Rate = 3 3/5  miles/hour

Hence, the distance Ben jogged in one hour is 3 3/5 miles. The correct option is B. 3 3/5 miles

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Answer:

Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

First we will solve terms inside the bracket

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]

Replacing the term:

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]

Now, combine like terms

[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]

Now, multiply all terms with 2

[tex]42x-100y-360[/tex]

So, Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Answer:

It is an unknown number but add 16 + 32 degrees and you get 48x degrees then multiply 48 X 72 degrees and you get 336 degrees.

Step-by-step explanation:

Answer:

313000/100 X 4.5 = 14085

14085/100 X 20 = 2817

14085 - 2817 = 11268

agency = 11268

agent = 2817

Answer:

emily 37.44$ Andy 22.15$

Step-by-step explanation:

Andy needs 23 feet multiply 23 feet by 12 you get the amount of inches so 276 inches if the cost for 130 inches is 10.40 we need to increase this number proportionally to 276 So 130+113%=276.9 so 276. Now 10.40x113%=22.15.

Emily needs 13 yards, 13 yards is 39 feet, 39 feet is 468 inches, Now do same thing we did for Andy. 130+360%=468 exactly 10.40+360%=37.44

Answer:

17 right

Step-by-step explanation:

68 percent of 25 is 17

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Step-by-step explanation:

We have 5x + 4y = 87 and x + y = 20.

=> 5x + 4y = 87 and 4x + 4y = 80.

5x + 4y = 87

- (4x + 4y = 80)

=> x = 7

Therefore (7) + y = 20, y = 13.

The answers are x = 7 and y = 13.

Answer:

20 bolts per bookcase

Step-by-step explanation:

Answer:

Perimeter: [tex]48\sqrt{2} \: \mathrm{inches}[/tex]

Area: [tex]288\mathrm \: \mathrm{square \: inches}[/tex]

Step-by-step explanation:

If the diagonal of the square is 24 inches, the side length of the square is [tex]12\sqrt{2}[/tex] inches ([tex]2x^2=24^2[/tex]). The perimeter of this square is then [tex]4 \cdot 12\sqrt{2}=\fbox{$48\sqrt{2}\: \mathrm{in}$}[/tex] and the area [tex](12\sqrt{2})^2=\fbox{$288\: \mathrm{in^2}$}[/tex].

The area of the square is 288 in.² and the perimeter is 48√2 in.

Given to us,

Diagonal of the square = 24 in.

We know that for a square,

[tex]\bold{(Diagonal)^2 = 2\times (side)^2}[/tex]

substituting the values,

[tex]{(Diagonal)^2 = 2\times (side)^2}\\24^2 = 2\times (side)^2}\\side = 12\sqrt {2}[/tex]

Also, the area of a square is given by (side)², and, perimeter by (4 x side).

[tex]\bold{Area = (12\sqrt2)^2 = 288 in.^2}[/tex]

[tex]\bold{Perimeter= (4\times 12\sqrt2) = 48\sqrt 2 in.}[/tex]

Hence, the area of the square is 288 in.² and the perimeter is 48√2 in.

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Answer:

The correct answer is Option D: [-9 -8] [7 3]

Step-by-step explanation:

Given that

D = [18 16][-14 -6]

We have to find -0.5D

In order to find the required values of D we only have to multiply the individual elements with -0.5, this might change the signs of elements and reduce the magnitude.

So,

[tex]-0.5D = [-0.5*18\ \ -0.5*16][-0.5*-14\ \ \ -0.5*-6]\\-0.5D =[-9\ \ \ -8][7\ \ \ 3][/tex]

Hence,

The correct answer is Option D: [-9 -8] [7 3]

Answer:

4 times

Step-by-step explanation:

We known that 1 quart is equivalent to 32 fluid ounces

Suppose each eruption consumes 8 fluid of ounces, if we also assume that the amount of vinegar required per eruption is constant, then the number of times Adriana can make her volcano erupt is

n = 32 / 8

n = 4 times

Adriana can make her volcano erupt 4 times with 1 quart of vinegar

Answer: A) y = 1/3x − 4

Step-by-step explanation:

Find the Equation Using Point-Slope Formula

slope: 1/3

point: (6, −2)

Use the slope 1 and a given point (6, −2) to substitute for [tex]x_1[/tex]  and [tex]y_1[/tex]  in the point-slope form  

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]), which is derived from the slope equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

  y − (−2) = 1/3 ⋅ (x − (6))

Simplify the equation and keep it in point-slope form.

  y + 2 = 1/3 ⋅ (x − 6)

Solve for y.  

  1/3 ⋅ (x − 6).

Apply the distributive property.

  y + 2 =  1 /3 x +  1 /3 ⋅ − 6

Combine 1/3 and x.

  y + 2 =  x/3 +1/3 ⋅ −6

Cancel the common factor of 3.

  y + 2 =  x /3 − 2

Move all terms not containing y to the right side of the equation.

Subtract 2 from both sides of the equation.

  y = x/3 − 2 − 2

Subtract 2 from −2. x

  y = x/3 − 4

Reorder terms.

  y = 1/3x − 4

List the equation in different forms.

Slope-intercept form:  

y = 1/3x − 4

Point-slope form:

y + 2 = 1/3 ⋅ (x − 6)

Answer:

dfsfsffsfsdfsfsfsfsfsfsefsfsdfsff

Step-by-step explanation:sfsfsfsf

fsfsfdfdsfsdfsfsf

Answer:

10 times

Step-by-step explanation:

After signing up she received 75 points, so the number of points he needs to get a free ticket : 140 - 75 = 65

If she earns 6.5 points or each visit, she would have to visit 65/6.5 times to get a free ticket

65/6.5 = 10

Answer:

10 times bud.

Step-by-step explanation:

Hope this helps!

Answer:

2x - 3y = 24

Step-by-step explanation:

You use the formula Ax ± By = C.

This is the standard linear equation form.

Answer:

h = -19.4

Step-by-step explanation:

1. Take the constant on the left side of the equation by changing the positive to a negative ---> h = -9.7 -9.7

2. Solve the right side, and you have yuor answer. ---> h = -19.4

Answer:use math(way

Step-by-step explanation

It help

Answer: 2 miles per hour

Step-by-step explanation: Reduce the common factor which would be 5 and then you divide and you get 2

Answer:

Cancel the common factor of 8 and 12x²+6.

Tap for more steps...

4x³/6x²+3

Factor 3

out of 6x²+3.

4x³/3(2x²+1)

Step-by-step explanation:

1. 74 tens

2. 3, 7, 11

3. 4 2 5

4. 23

5. 560

6.440

7. Sum

8. 1 dollar and 40 cents

9. 84 cents

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Answer:

1. 74

2. 3, 7, and 11

3. 4, 2, and 5

4. 20.2307692308

5. 560

6. 440

7. sum

8.  Chloe

9. 84 cents

Answer:

[tex]81.2\:\mathrm{ft}[/tex]

Step-by-step explanation:

We can form a right triangle and use basic trig for a right triangle to solve this problem:

[tex]\tan33^{\circ}=\frac{h}{125}[/tex], where [tex]h[/tex] is the height of the tree.

Solving, we get:

[tex]h=125\cdot \tan 33^{\circ},\\h\approx \fbox{$81.2\:\mathrm{ft}$}[/tex].

Answer:

A

Step-by-step explanation:

Answer:

Saturday 3 9/10 hours = 60/10 = 6, 6 X 9 =54

3 hours 54 mins

Sunday 5 1/6 hours = 60/6 = 10, 10 X 1 = 10

5 hours 10 mins

3 hrs 54 mins + 5 hrs 10mins = 9 hrs 4 mins

Answer:9 4/10

Step-by-step explanation: