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TEA [102]
3 years ago
10

4. A rectangle has a width of 2 cm and a perimeter of 25 cm. Find the length and the area.

Mathematics
1 answer:
Sav [38]3 years ago
5 0

Answer:

l = 10.5 cm and A = 21 cm2

Step-by-step explanation:

Area is w*l

Perimeter is 2(w+l)

Replacing the information known in the problem you can get the length with the perimeter

P = 2(w+l)

25 = 2(2+l)

12.5 = 2 + l

10.5 cm = l

with the length now you can find the area

A = w*l

A = 2*10.5

A = 21 cm2

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25 is 45% of what number
Oksi-84 [34.3K]

Answer: 55.56

Step-by-step explanation:

Let the unknown number be k

(45 x k) / 100 = 25

45k/100 = 25

multiply both sides by 100

45k = 25 x 100

45k = 2500

divide both sides by 45

k = 2500/45

k = 55.56

6 0
3 years ago
Rectangular prism with a length, width, and height of 1/5 cm, 2/5 cm, 3/5 and cm, respectively
Bezzdna [24]
3/4 with the main number divide it
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3 years ago
Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to hav
uranmaximum [27]

Answer:

$2,400

Step-by-step explanation:

Ken intends to start a savings account

10% = leisure spending

This means 90% = Expenses for school

Let us represent the amount he must save as : x

Hence in other for him to have $2,160 in his savings account, the amount Ken must earn is calculated as:

90/100 × x = $2,160

Cross Multiply

90x = $2,160 × 100

x = ($2,160 × 100) ÷ 90

x =$2,400

Therefore, the amount Ken has to earn to have the amount needed for school is $2,400

5 0
3 years ago
Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

#SPJ1

7 0
1 year ago
Which number line shows the solution of -5x + 10 &gt; -15?
Allushta [10]

Answer:

See attached.  Line for x<5.

Step-by-step explanation:

Solve the equation for x.  Remember that the "<" and ">" signs are reversed when dividing or multiplying by a negative value.

8 0
2 years ago
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