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inna [77]
3 years ago
12

20 is what percent of 50?

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0
We can rephrase the question as "What percent of 50 is 20?".
"What percent ..." is an unknown. We'll use the variable x to represent this unknown.

The word 'of' in mathematics can mean 'multiply'. Likewise the word 'is' can mean 'equal'.

Now we have the phrase "20 equals to x times 50".

Or in an equation: 20 = x * 50

Solve for x.

20 = x * 50
\frac{20}{50} = x <-- Divide both sides by 50

Simplify the fraction.

\frac{20}{50} = \frac{2}{5}

Convert the fraction into a decimal.

\frac{2}{5} = 0.4

Convert the decimal into a percent.

0.4 = 40%

So, 40% is the answer.
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A rectangle is 5 cm wider than twice its length. If the perimeter of the rectangle is 70 cm, then what is the area?
kifflom [539]

Step-by-step explanation:

The dimensions of the rectangle are two unknowns: The length "l" and the width "w"

The perimeter of a rectangle is found as P = 2*l + 2*w

We also know that the length is 5cm more than twice the width. l = 2*w + 5

These two equations gives us a system of linear equations.

P = 2*l + 2*w

l = 2*w + 5

We can use substitution to replace the "l" in the first equation with 2*w + 5

P = 2*(2*w + 5) + 2*w

P = 4*w + 10 + 2*w

P = 6*w + 10

we know the perimeter is 70

70 = 6* w + 10

subtract 10 from both sides

60 = 6* w

w = 10

Now that we know the width, we can find the length by substituting 10 for "w" in the second equation.

l = 2* 10 + 5

l = 20 +5

l = 25

the dimentions of the rectangle are 25cm x 10 cm

6 0
3 years ago
Read 2 more answers
A major department store has determined that its customers charge an average of $500 per month, with a standard deviation of $80
julia-pushkina [17]

Answer:

Step-by-step explanation:

Since the amounts of charges are assumed to be normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the amounts of charges.

µ = mean amount

σ = standard deviation

From the information given,

µ = $500

σ = $80

a) the probability that customers charges more than $380 per month is expressed as

P(x > 380) = 1 - P(x ≤ 380)

For x = 380,

z = (380 - 500)/80 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

P(x > 380) = 1 - 0.067 = 0.933

The percentage of customers that charges more than $380 per month is

0.933 × 100 = 93.3%

b) the probability that customers charges less than $340 per month is expressed as

P(x < 340)

For x = 340,

z = (340 - 500)/80 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

The percentage of customers that charges less than $340 per month is

0.023 × 100 = 2.3%

c) the probability that customers charges between $644 and $700 per month is expressed as

P(644 ≤ x ≤ 700)

For x = 644,

z = (644 - 500)/80 = 1.8

Looking at the normal distribution table, the probability corresponding to the z score is 0.96

For x = 700,

z = (700 - 500)/80 = 2.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.994

P(644 ≤ x ≤ 700) = 0.994 - 0.96 = 0.034

The percentage of customers that charges between $644 and $700 per month is

0.034 × 100 = 3.4%

3 0
3 years ago
Which of the following expressions is equivalent to 2/ 5 ÷ 7 /8 ?
Sonja [21]
You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!
7 0
3 years ago
Jeff decided to paint some of the rooms in his hotel he found out that one room required to five cans of paint if Jeff by 14 can
Vladimir79 [104]

Answer:

i think the answer is 2 rooms because if 5 only goes in 14 two times then that would be your answer

8 0
2 years ago
Witch answer choice is it and is it a function ​
zubka84 [21]
It’s the first answer choice
Hope this helps
5 0
3 years ago
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