Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.



What is the distance around the pool? The distance around the pool is
131.4/ 162.8/ 957/ 1114 feet.



What is the area of the pool? The area is 131.4/ 162.8/ 957/ 1114 square feet.

Answer:

[tex]2x - 3y = 12[/tex]

[tex]-4(2x - 3y) = -4(12)[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{2}{3}x - 4[/tex]

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

[tex]3* y = 3(\frac{2}{3}x - 4)[/tex]

[tex]3y = 3 * \frac{2}{3}x - 3 * 4[/tex]

[tex]3y = 2x - 12[/tex] ---- Equation 1

Subtract 3y from both sides

[tex]-3y + 3y = 2x - 12 - 3y[/tex]

[tex]0 = 2x - 12 - 3y[/tex]

Add 12 to both sides

[tex]12 + 0 = 2x - 12 - 3y + 12[/tex]

[tex]12 = 2x - 3y[/tex]

Rearrange:

[tex]2x - 3y = 12[/tex] ---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

[tex]2x - 3y = 12[/tex]

[tex]-4(2x - 3y) = -4(12)[/tex]  ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to [tex]y = \frac{2}{3}x - 4[/tex]

Answer:

Answer:

Step-by-step explanation:

Given

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

---- Equation 1

Subtract 3y from both sides

Add 12 to both sides

Rearrange:

---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

 ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to

Step-by-step explanation:

Answer:

[tex]9[/tex]

Step-by-step explanation:

The prime factorization of [tex]192[/tex] is [tex]2^6 \cdot 3[/tex], and since [tex]2^6[/tex] is already a perfect cube of [tex]4[/tex], we just have to deal with the [tex]3[/tex]. To make it a perfect cube, we have to multiply [tex]3[/tex] three times, and so we have to make it [tex]3 \cdot 3 \cdot 3[/tex], and we already have one three so we just add the other two threes, which equal [tex]3^2=9[/tex].

Answer:

Volume V = 164,636,210,208.924 km^3

Step-by-step explanation:

Volume of a sphere is;

V = (4/3)πr^3

radius r = 3400 km

Volume of mars V = (4/3)π×3400^3

V = 164,636,210,208.924 km^3

Answer: 4 bags

Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.

Answer:

x=5

Step-by-step explanation:

-3x+7=-8

Bring 7 to the other side, it becomes negative

-3x=-8-7

Signs are same on rhs so u add

-3x = -8+-7= -15

Bring -3 to the other side n divide

therefore,

x=-15/-3

= +5 (two negatives become positive)

Hope it helps!

Answer:

x = 5

Step-by-step explanation:

→Subtract 7 from both sides:

-3x + 7 = -8

-3x = -15

→Divide both sides by -3:

x = 5

I don't know, sorry. :(

Answer:

(2) 21.6

Step-by-step explanation:

The segment OA is the radius of the circle

The arc of the complete circle is equivalent to its perimeter

perimeter = 2*π*radius = 2*π*10 = 62.83 cm

This arc is proportional to 360°. So, for 124°:

360°/124° = 62.83 cm/ x cm

x = 124*62.83/360

x = 21.6 cm

Answer:

its 60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.

Answer:

5(n<18)=13

Step-by-step explanation:

Five times a number less than eighteen is equal to thirteen

5                   (n            <               18                 =             13

Answer:

the first option, (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!

Answer:

(-4, 6)

Step-by-step explanation:

Answer:

32 2/5

Step-by-step explanation:

Twice of the width is 10 4/5

So 10 4/5 plus 5 2/5 is 16 1/5

Then you add it to 16 1/5 because it is the perimeter and it has the same sides

Answer:

4.   [tex]32 \frac{2}{5}[/tex]

Step-by-step explanation:

so the formula for perimeter is l + l + w + w

the width is 5 2/5 and the length is 5 2/5 * 2

that means the length is 10 4/5

so back to the formula [tex]5 \frac{2}{5} + 5 \frac{2}{5} +10 \frac{4}{5} +10 \frac{4}{5}[/tex]

simplified is  10 4/5 + 20 8/5

simplified is 30 12/5

simplified is [tex]32 \frac{2}{5}[/tex]

Answer:

189582.23m^3

Step-by-step explanation:

formula for the volume of a hemisphere=2/3 x pi x r^3

The volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter is 181,037  cubic meters.

We can say that a hemisphere is exactly half of a sphere. The volume of the hemisphere is obtained by Archimedes and is half the volume of a sphere. The volume V of a hemisphere is two-thirds times pi times the radius cubed.

The formula for the volume of a hemisphere is :

[tex]V=2/3 * \pi * r^3\\V= 2/3 (3.14) (44.9)^3\\V= 181,037 m^3[/tex]

See more about volume at brainly.com/question/1578538

#SPJ2

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

Answer:

9(3+4)

Step-by-step explanation:

27+36

Factor out 9

9*3 + 9*4

9(3+4)

Answer:

9(3+4)

Step-by-step explanation:

First, list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

Factors of 27: 1, 3, 9, 27

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Now, find the GCF. The GCF is the largest factor both numbers share. In this case, the GCF is 9.

Now, find the equivalent expression.

27+36

Distribute out a 9. Divide both numbers inside the parentheses by 9.

9(27/9+36/9)

9(3+4)

Answer:

A. 72

Step-by-step explanation:

Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!

Answer:

A would be the right answer :)

Step-by-step explanation:

Answer:

A. 10, 15, 15, 18, 22, 25, 28, 35, 36

Step-by-step explanation:

Stem and leaf plot

1    |     0 5 5 8

2   |     2 5 8

3   |    5 6

Example : 1 | 0 means 10

So, considering the examples :

1    |     0 5 5 8

10,15,15,15,18

2   |     2 5 8

22,25,28

3   |    5 6

35,36

So, the data set is 10,15,15,15,18,22,25,28,35,36

So, Option A is true

Answer:

for 1 its -0.25 and 1.25

for 2 its -0.5. and 1.5

Step-by-step explanation:

idk if there is,  but just use the graph + common sense.

you don't need to solve it in any way

Answer:

35 miles per hour

Step-by-step explanation:

The slope is

m = (y2-y1)/(x2-x1)

    = (280-210)/(8-6)

    = 70/2

    = 35 miles per hour

Answer: 1hr/35miles

Step-by-step explanation:

Answer:

6.0869 mph

Step-by-step explanation:

Nina:

8 km: 45 mins

Jo:

8 km: 49 mins

Speed = distance / time

Speed= 8 / 49

Answer:

I think it is option C, 3-4x

Answer:

5.

Step-by-step explanation:

That would be |-1 - (-6)|

= |-5|

= 5.

Answer:

Step-by-step explanation:

multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.

Answer:

Step-by-step explanation:

y + 1 = 1(x + 7)

y + 1 = x + 7

y = x + 6

Answer:

It is a dilation. You know because when you see the shapes form left to right, the shape increases in size.

the correct answer is B

The answer is definitely B

Answer:

9. 40°

10. 50°

11. 270°

12. 310°

Step-by-step explanation:

m∠BPC = 40° because it is complementary to ∠APB, which is 50°.

Arc AB is 50° because it will be equal to the central angle, which is 50°.

Arc ADC is 270° because it will be equal to the central angle, which is 270°.

Arc ADB is 310° because it will be equal to the central angle, also 310°.

Answer:

1 time = 2/3 cups

3 1/2 times = 2/3 × 3 1/2

= 7/3 cups of milk

Answer:

2 1/3 cups

Step-by-step explanation:

2/3 x 3.5 = 2.33333

Answer: 11b^2 + 3b - 1

Step-by-step explanation:

(5b^2 + 3b + 4) + (6b^2 - 5)

5b^2 + 3b + 4 + 6b^2 - 5

11b^2 + 3b -1

i would  C because it the lights didnt bend

it went through

Answer:

The last option is correct. (f*g)(x) = x² - 5

Step-by-step explanation:

Since is f * g you have to multiply them together.

x² - 2 * x - 3 (x)

Next ust simplify.

x² -5x