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OLEGan [10]
3 years ago
12

The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle is the perimeter of the re

ctangle is 54 inches.
#7 Write an equation that represents the situation. Explain any variable used.


#8 Solve the equation. Show your work. State your solution as a complete sentence.
Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0

Answer:

12 * 2 + x * 2 = 54

x = 15

x is 15

Step-by-step explanation:

12 * 2 + x * 2 = 54

24 + x * 2 = 54

-24              -24

x * 2 = 30

/2        /2

x = 15

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If p(x)= 2^x, what is the value of p(3) - p(2)?
rjkz [21]

Answer:

4

Step-by-step explanation:

p(3) = 2³ = 8

p(2) = 2² = 4

8-4 = 4

4 0
3 years ago
Mr. Ramsey just finished bathing his kids, and now he is draining the tub. The tub contains 32 gallons of water and is draining
KIM [24]
The answer would be 11 gallons.

The tub starts with 32 gallons. Every minute it loses 3 gallons.

So after 1 minute it has lost 3 gallons. For example:
32-3= 29 Meaning that after 1 minute the tub has 29 gallons left.

Now you have to remember that the tub is draining for 7 minutes. So it is losing 3 gallons 7 times, because it loses 3 gallons each minute and there are 7 minutes.

We can use multiplication to find how many gallons the tub loses after 7 minutes. This sign “X” basically means “groups of”. We have 7 groups of 3, or
7 X 3

This is the same as saying we have 3, 7 times. Written like this:

3+3 +3 +3 +3 +3 +3 = 21

So after 7 minutes the tub has lost 21 gallons.

Now we take the original number of gallons and take away what was lost:

32-21=11

So there are 11 gallons left after 7 minutes.

Please let me know if you need any further explanation. Hope this helped.

7 0
2 years ago
The area of a square is 32 cm. find the length of the diagonal
Over [174]

Answer:

8 cm

Step-by-step explanation:

Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.

Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)

(√32)² + (√32)² = c²

(note: the square and the square root cancel out)

32 + 32 = 64

c² = 64 ∴ c = √64 which is 8

Hope this helps!

4 0
2 years ago
Read 2 more answers
Show 46/200 on the hundredths grid. then write the fractions as a demical
SSSSS [86.1K]
If we want to has 100 in the denominator we have to divide numerator and denominator by 2. Then total value of fraction doesnt change.
\frac{46}{200}= \frac{46:2}{200:2}= \frac{23}{100}
Now read the fraction, its 23 hundreds, now just write as decimal, so, 0.23
3 0
3 years ago
Find the missing number:
nirvana33 [79]

Answer:

20%

Step-by-step explanation:

Not sure if this is exactly correct, but let's say we start with 1 unit. If it increased by 25%, we get:

1 × 1.25 = 1.25 units.

Now, to get back to 1 unit, we need to find:

1.25 × ?  = 1

? = \frac{1}{1.25} = 0.80

So, 100% - 80 % = 20%

A 20% decrease.

Not completely sure though.

8 0
3 years ago
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