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4 years ago

I need help on 27 pleaseeeeeeeee

Mathematics

1 answer:

fomenos4 years ago

3 0

27.) Because the area is 60, we know that the two side lengths, x and x + 4 will multiply to equal that.

In other words,
x(x+4) = 60

Distribute the x

x^2 + 4x = 60

Complete the square:
1.) Take the middle term, 4, divide it by 2, then square it. You get 4 again.

2.) Add 4 on both sides of the equation:
x^2 + 4x + 4 = 64

3.) Factor the left side, you'll find that it is a perfect trinomial.
(x + 2)(x + 2)= 64

4.) Simplify (x + 2)^2 = 64

5.) Square root both sides:
(x + 2) = +/- 8

Because side lengths cannot be negative, it must be positive 8.

6.) x + 2 = 8

7.) Subtract 2 on both sides, you'll see that x = 6 :)

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D. Mrs. Buchanan decided to throw her daughter a sweet sixteen party. She rented a room at a local venue for $500 a night plus $

a_sh-v [17]

Answer:

1) 80 people 2) 15 weeks

Step-by-step explanation:

(x = the number of people)

500 + 8x = 1140 ← ($500 initially plus $8 per person equals $1140)

8x = 640 ←(subtract the $500 from each side)

x = 80 ←(divide by the $8 per person to get the number of people)

------

(x = the number of weeks)

242 = 62 + 12x ←(The cost of the snake ($242) is equal to her $62 plus $12 she saves every week)

180 = 12x ←(subtract the $62 from both sides)

15 = x ←(divide by the $12 per week)

3 0

3 years ago

If the cost of the framing material is $ 13 13 per linear foot and the cost of the pane glass is $ 24 24 per square foot, what i

miskamm [114]

I thank you should time 1313*2424==318.27

5 0

3 years ago

PLEASE HELP!! 10 POINTS!!WILL MAKE BRAINLIEST

Grace [21]

58): Solution =====> Letter Choice, (C) 1.25m = 1.50(m - 2)

Let's solve your equation step-by-step.

1.25m = 1.5(m − 2)

Step 1: Simplify both sides of the equation.

1.25m = 1.5(m − 2)

1.25m = (1.5)(m) + (1.5)(−2) (Distribute)

1.25m = 1.5m + −3

1.25m = 1.5m − 3

Step 2: Subtract 1.5m from both sides.

1.25m − 1.5m = 1.5m − 3 − 1.5m

−0.25m = −3

Step 3: Divide both sides by -0.25.

-0.25m/ -0.25 = -3/ -0.25

m =========> 12

Answer ===========> m = 12

59): Let your Number be: D

Solution: =====> 7D = 5D - 3 =====> -3/2 =====> -1.5

Seven Times a number:

7 * D or 7(D)

Three Less than Five Times that Number:

5D - 3

7D = 5D - 3

Solve for D:

7D = 5D - 3

Subtract 5D from both sides:

7D - 5D = 5D - 3 - 5D

2D = -3

Divide both sides by 2:

2D/2 = -3/2

D = -3/2

Answer ==> D ====> -3/2 ========> Letter Choice, (F) - 1.5

60): Letter Choice, (C), 3x - 9 = 5x

Let's solve your equation step-by-step.

3x − 9 = 5x

Step 1: Subtract 5x from both sides.

3x − 9 − 5x = 5x − 5x

−2x − 9 = 0

Step 2: Add 9 to both sides.

−2x − 9 + 9 = 0 + 9

−2x = 9

Step 3: Divide both sides by -2.

-2x/ -2 = 9/ -2

x = -9/2

Answer ========> x = -9/2 =======> 4.5

61): Subtract:

500 - 120

= 380

Need to total 500:

380

Find Number of Weeks Divide:

380/20 = 19 Weeks

7 * 19 = 133

Days it will take Nichole to save $500.00 =======> 133 Days

62): Gridded Response:

Solve:

- 2(x - 1 ) + 5x = 2(2x - 1 ) ======> x = 4

( -2 )(x) + ( -2)( - 1 ) + 5x = (2)(2x) + (2)( - 1 )

Distribute:

- 2x + 2 + 5x = 4x + - 2

( - 2x + 5x ) + (2) = 4x - 2 (Combine Like terms):

3x + 2 = 4x - 2

Subtract 4x From both sides:

3x + 2 - 4x = 4x - 2 - 4x - x + 2 = -2

Subtract 2 from both sides:

-x + 2 - 2 = -2 - 2

-x = -4

Divide both sides by -1:

-x/ -1 = -4/ -1

x = 4

Answer =====> x = 4 Check the Graph down below for Gridded Response on Number 62.

Hope that helps!!! : ) _P_

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3 years ago

4 < x < 9 <br> X Is an integer <br> Write down the possible values of x

podryga [215]

Answer:

5 6 7 or 8 i just did one similar

Step-by-step explanation:

your welcome

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3 years ago

Giving Brainliest please help

Free_Kalibri [48]

Answer:

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Step-by-step explanation:

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3 years ago