You need $40 $ 40 to buy a new pair of shoes. You have saved $15 $ 15 . Which inequality models how much more you must save?

bob wants to build a doghouse that is 2 feet longer than it is wide. he's building it on a concrete slab that will leave 2 feet

VikaD [51]

Answer:

10 ft by 12 ft

Step-by-step explanation:

This problem requires you to first write an equation to represent the situation. Here we will represent the shorter side of the doghouse with the variable x, the longer side will be represented with x+2 because it is 2 feet longer.

48 = x * (x+2)

This represents the area of the doghouse as the product of the width and length of the doghouse.

48 = x^2 + 2x

Now, we need to move all the items onto one side of the equals sign, it is best to have the x^2 be positive.

0 = x^2 + 2x - 48

Now, we factor to find what x equals.

0 = (x-6) * (x+8)

From here, we can use each of the terms in parentheses to solve for x.

0 = x-6

x = 6

0 = x+8

0 = -8

Here we know that the shorter side has to be 6 ft because length is a positive number, and we can determine that the longer side is 8 ft because it is 2 ft longer. The dimensions of the slab are therefore 10 ft by 12 ft because the slab is 2 ft on each side, therefore adding an extra 4ft to the dimensions because the 2ft is added on each side.

7 0

2 years ago

What is the value of x that will make each of the two ratios proportional?

PilotLPTM [1.2K]

Answer:

a=7, b=14

Step-by-step explanation:

a. 2/6=x/21

cross multiply=

2×21=x×6

then solve

42=6x

divide both sides by 6

x=42/6=7

b. 150/84=25/x

cross multiply=

84×25=150×x

then solve

2100=150x

divide both sides by 150

x=2100/150=14

 HOPE THIS HELPS. 

7 0

1 year ago

Please help. Is algebra. PLEASE HELP NO LINKS OR FILES. I don't want links.

Mariana [72]

I think the answer would be A

3 0

2 years ago

A sweater is on sale for 40% off the regular price. Ella save $20 by buying the sweater on sale. What is the normal price?

Annette [7]

Answer:

The original price is $50

Step-by-step explanation:

To find the normal price, we simply divide the amount she saves by the percentage of that savings. This will give us the original amount that it costs.

$20/40% = $50.

8 0

3 years ago

A car purchased new depreciates in value by an average of 20% over the first five years.

Klio2033 [76]

Answer:

$6553.6

Step-by-step explanation:

The current worth of the car = $20,000

The car depreciate 20% every year

In five years, the worth of the car is ?

First year,

20% of $20,000 = 0.2 * $20000 = $4000

The value of the car after the first year = $20000 - $4000 = $16000

Second year,

20% of $16,000 = 0.2 * $16000 = $3200

The value of the car after the second year is $16000 - $3200 = $12800

Third year,

20% of $12800 = 0.2 * $12800 = $2560

The value of the car after the third year is $12800 - $2560 = $10,240

Fourth year,

20% of $10,240 = 0.2 * 10,240 = $2048

The value of the car after the fourth year is $10,240 - $2048 = $8192

Fifth year,

20% of $8192 = 0.2 * $8192 = $1638.4

The value of the car after the fifth year is $8192 - $1638.4 = $6553.6

4 0

2 years ago