Write an equation that models this problem: Trevor paid$528 to stay at the MGM Grand Hotel in Las Vegas for four nights over New Year's weekend. What was the rate,r, per day to stay at the MGM Grand for New Year's?

9514 1404 393

Answer:

  55.9%

Step-by-step explanation:

The percentage is found by multiplying the fraction by 100%.

  19/34 × 100% ≈ 55.9%

About 55.9% of the class are girls.

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:

37

Step-by-step explanation:

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:

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

Step-by-step explanation:

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:

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:

Step-by-step explanation:

I don't do this question the way it is outlined. My way is a bit shorter.

The general equation is y = mx + b

You want the slope to be - 1/5 which you just read from the given equation.

So, so far you have y = -1/5x + b

Now for the point which is (5,-4)

x = 5

y = - 4

-4 = -1/5 * 5 + b

-4 = -1 + b

b = -4 + 1

b = - 3

the equation is y = -1/5 x - 3

===========================

Now let's do it your way.

y - y1 = m(x - x1)

x1 = 5

y1 = - 4

m = - 1/5

y - - 4 = -1/5(x - 5

y + 4 = -1/5x + 1        Take 4 from both sides

y = -1/5 x + 1 - 4

y = -1/5 x - 3

Same answer. I never knew that was possible.

Answer:

Step-by-step explanation:

Use one of ratios to find the missing quantity:

Cross-multiply:

Answer:

3. (1,15) and (6,30) = 30-15/6-1=3x

4. 66=3x+12 then 18 weeks

Answer:

x=2/7

Step-by-step explanation:

Answer: d ;)

Step-by-step explanation:

Just match the info on the table to the graph

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:

Yes, there is a proportional relationship.

Step-by-step explanation:

I can't put a graph in here unfortunately.

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:

D: 30

Step-by-step explanation:

30/6= 5

150/5=30

Answer:

Free points

Step-by-step explanation:

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:

36x + 125 =?

40x + 90 =?

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

there is only one side on the big triangle and each of the little ones

Answer:

15

Step-by-step explanation:

If the computer is 36 inches in width

Then it's automatically is 15 inches in .length

Answer:

Option D is the answer hope it helps :)

Step-by-step explanation:

Answer:

B 1.8

Step-by-step explanation:

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