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2 years ago

2 1/4 = 1 2/7÷x what is x?

Mathematics

1 answer:

Roman55 [17]2 years ago

8 0

Answer:

x=4/7

Step-by-step explanation:

Change mixed fractions to improper fractions

2 1/4 = 9/4

1 2/7 =9/7

Therefore, we have

9/4=9/7÷x

9/7÷x is 9/7×1/x=9/7x

Then, we have

9/4=9/7x

Cross multipy

9×7x=9×4

63x=36

Make x the subject of the formula, we have

x=36/63

x=4/7

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2 years ago

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8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)?

Marysya12 [62]

Answer:

The total percent decrease is $a+b-\frac{a b}{100}$

Step-by-step explanation:

We are given with a word problem
We are asked to find the total percentage decrease
We can do this in two steps

Step 1: Finding the two percentage decrease

Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$

Step 2 of 2

The percentage difference between the two percentages is,

$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$

Since 100 is the total percent $a+b-\frac{a b}{100}$ is the percentage decrease.

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1 year ago

The first term of an arithmetic sequence is 4 and the tenth term is 67.

serg [7]

Answer:

d = 7

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7

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2 years ago

What is the word form of 3.75

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So, combing the two parts, we can find that the word form of 3.75 is:
three and seventy-five hundredth.

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3 years ago

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