A runner ran 20 miles in 150 minutes. If she runs at that speed, how far could she run in 15 minutes?

Given:

5) The expressions are

[tex]16x+24y+32[/tex]

[tex]8(2x+3y+4)[/tex]

[tex]4(4x+24y+8)[/tex]

7) The expression is

[tex]7(3-x)+15x[/tex]

To find:

5) Whether the given expressions are equivalent.

7) simplified form of given expression.

Solution:

5)

First expression is

[tex]16x+24y+32[/tex]

Second expression is

[tex]8(2x+3y+4)[/tex]

[tex]=8(2x)+8(3y)+8(4)[/tex]

[tex]=16x+24y+32[/tex]

Third expression is

[tex]4(4x+24y+8)[/tex]

[tex]=4(4x)+4(24y)+4(8)[/tex]

[tex]=16x+96y+32[/tex]

Therefore, the simplified forms of given expressions are [tex]16x+24y+32,\ 16x+24y+32,\ 16x+96y+32[/tex] respectively. It means only first and second expressions and equivalent.

7)

We have,

[tex]7(3-x)+15x[/tex]

[tex]=7(3)+7(-x)+15x[/tex]

[tex]=21-7x+15x[/tex]

[tex]=21+8x[/tex]

Therefore, the simplified form of given expression is [tex]21+8x[/tex].

Given:

5) The expressions are

7) The expression is

To find:

5) Whether the given expressions are equivalent.

7) simplified form of given expression.

Solution:

5)

First expression is

Second expression is

Third expression is

Therefore, the simplified forms of given expressions are  respectively. It means only first and second expressions and equivalent.

7)

We have,

Therefore, the simplified form of given expression is .

Answer:

36x + 125 =?

40x + 90 =?

Step-by-step explanation:

Answer:

both A and B must be true

Step-by-step explanation:

AD is perpendicular to DC and AD is parallel to BC

Answer:

It would be B

Step-by-step explanation: 3j represents johns age x 3 - 5 years.

Which is the equation that ultimately represents ricks age.

Answer:

a) =5+2p+6

= 11+2p

b)=3+5x-10

= -7+5x

c)= 10+6b+10

= 20+6b

d) = 7s-4s+4

= 3s+4

f)=2x+2+3

= 2x+5

g)= 6w+6+5w

= 11w+6

h)= 2p-2p+7p

= 7p

i)= 8x- 12x + 3x

= -1x

Hope that helped

Answer:

their are like I think I am not so sure bit I think it is either B or D

Answer:

Yes, there is a proportional relationship.

Step-by-step explanation:

I can't put a graph in here unfortunately.

Answer:

a. 10,000

b. 81

c. -8

d. 25

e. 1236

f. 8/27

g. 81/625

h. 1/32

i. 1/36

j. 1

k. 8

Step-by-step explanation:

How I got each of these answers:

a. 10^4

10 * 10 * 10 * 10

100 * 10 * 10

1000 * 10

10000

b. -3^4 (two negatives equal a positive)

-3 * -3 * -3 * -3

9 *-3 * -3

-27 * -3

81

c. -2^3

-2 * -2 * -2

4 * -2

-8

d. -5^2

-5 * -5

25

e. -6^4

-6 * -6 * -6 * -6

36 * -6 * -6

-216 * -6

1236

f. (2/3)^3

(2*2*2)/(3*3*3)

(4*2)/(9*3)

8/27

g. (-3/5)/4

(-3*-3*-3*-3)/(5*5*5*5)

(9*-3*-3)/(25*5*5)

(-27*3)/(125*5)

81/625

h. (1/2)^5

1/(2*2*2*2*2)

1/(4*2*2*2)

1/(8*2*2)

1/(16*2)

1/32

i. (-1/6)^2

(-1 * -1)/(6*6)

1/36

j. (2/5)^9 / (2/5)^9

(2^9)/(5^9) / (2^9)/(5^9)

(512/1953125) / (512/1953125)

1

k. -24t^4/-3t^4

(-24t^4)^1 * (1/-3t^4)

(-24)^1 * (t^4)^1 * (1/-3) * (1/t^4)

(-24)^1 * (1/-3)(t^4) * (1/t^4)

(-24)^1 * (1/-3) * t^4 * t^4(-1)

(-24)^1 * (1/-3) * t^4 * t^-4

(-24)^1 * (1/-3) * t^0

-24 * -1/3 * t^0

8t^0

8 * 1

8

Answer:

Q 2 = B

Q3 = B

Q4 = C

Step-by-step explanation:

Q2 = B because if you do: cost per person ÷ Entrance cost

the proportinality will be correct

Q3 = B because 2 x 3.5 =7

4 x 3.5 = 7, so on and so forth.

Q4 = C because a pizza cost $15 with no topings. So if it has 2 toppings that will be 2x2 + 15 = $19. And they're asking you to find the cost of a pizza with two toppings

Hope this was helpful :>

Answer: They believed each temple they built should honor only one god, no matter how big or elaborate the temple.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

If the computer is 36 inches in width

Then it's automatically is 15 inches in .length

Answer:

D my love :  6

Find f(g(h(x))).

h(x)=2x+5

g(h(x)) = 3(2x+5)^2 -1     (substitute h(x) in)

f(g(h(x)))= -[3(2x+5)^2 -1]^3    (substitute g(h(x)) in)

Since it asks for the degree of the function, that means we must look for the variable with the highest degree. In this case, after distributing and simplifying out the last equation, we will find that the variable x has the highest degree of x^6, or 6.

Answer: 120x4+270

Step-by-step explanatio:

Umm so I’m only in 8th grade and this was on my test so the 4 is an exponent

Answer:

A= -53/7

Step-by-step explanation:

1 x 10 -1 x 7 x A=7 x 9

10-7A =7 X 9

10-7A=63

-10 -10

-7A=53

A= -53/7

Answer:

Gum is 6 Q 1 D 1 N Raspberries is 12 Q 1 N 1 D

Step-by-step explanation:

Answer:

B 1.8

Step-by-step explanation:

Answer: d ;)

Step-by-step explanation:

Just match the info on the table to the graph

28inch^2

Rectangle:

[Length x Breadth]

5 + 3 = 8inch

8 x 2.5 = 20inch^2

Right Triangle:

[1/2 x Base x Height]

1/2 x 5 x 2 = 1/2 x 10

= 5inch^2

Left Triangle:

[1/2 x Base x Height]

1/2 x 3 x 2 = 1/2 x 6

= 3inch^2

20 + 5 + 3 = 28inch^2

Answer:

I have concluded using my big brain that the correct answers are a, b, e, and f

Answer:

37

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use one of ratios to find the missing quantity:

Cross-multiply:

Answer:

D: 30

Step-by-step explanation:

30/6= 5

150/5=30

Answer:

Step-by-step explanation:

RV=VU and SW=WT    ⇒    [tex]VW=\dfrac{RS+UT}{2}[/tex]

So:

[tex]3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}\\\\3x+5=4x-11\\^{\qquad-5\qquad-5}\\3x=4x-16\\^{-4x\qquad-4x}\\-x=-16\\^{\div(-1)\quad\div(-1)}\\x=16\\\\RS=2x+15=2\cdot16+15=32+15=47[/tex]

Answer: 18

18/3=6

If you ever have division questions like this just multiply the two end numbers.

Answer:

x=2/7

Step-by-step explanation: