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Degger [83]
3 years ago
11

Find an equivalent fraction for the decimal number. In your final answer, include all of your work. 0.61 (but 61 is a repetitive

decimal)
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

The equivalent fraction is \frac{61}{100}

Step-by-step explanation:

To find the equivalent fraction to a decimal number, we keep multiplying by 10 in the numerator and the denominator until the numerator is a whole number.

In this question:

We are given: 0.61. So

0.61 \times \frac{10}{10} = \frac{6.1}{10} \times \frac{10}{10} = \frac{61}{100}

This means that the equivalent fraction is \frac{61}{100}

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Solve the equation. (one step equations)<br><br>3/5a=1/4
maxonik [38]

A=5/12 if your solving for a

3 0
3 years ago
Read 2 more answers
Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month. Her friend Kate’s hair is 16 inches long and grows
Gelneren [198K]
<h3>18 months will pass before the two friends have the same hair length</h3>

<em><u>Solution:</u></em>

Let "x" be the number of months

Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month

Equation : 13 + \frac{2}{3}x ------- eqn\ 1

Her friend Kate’s hair is 16 inches long and grows at an average rate of ½ in per month

Equation: 16 + \frac{1}{2}x ----- eqn\ 2

<em><u>For two friends to have the same hair length, eqn 1 must be equal to eqn 2</u></em>

13 + \frac{2x}{3} = 16 + \frac{x}{2}\\\\\frac{2x}{3} - \frac{x}{2} = 16 - 13\\\\\frac{4x}{6} - \frac{3x}{6} = 3\\\\x = 18

Thus 18 months will pass before the two friends have the same hair length

5 0
3 years ago
The average of 5 quiz grades is 10. When the lowest grade is dropped and the new average is calculated, it turns out to be 11. W
V125BC [204]

Answer:

The score of the dropped grade is 6

Step-by-step explanation:

To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores

(a+b+c+d+e)/5=10

Then we can multiply both sides by 5 and get

a+b+c+d+e=50

Lets assume that c is the lowest test score. To calculate the average of that we get

a+b+d+e/4=11

Doing the same thing, we know that a+b+d+e=44

Now compare the two:

a+b+c+d+e=50

a+b+d+e=44

We can now know that c=50-44=6

So, 6 is the score of the dropped quiz. Hope that helped!

4 0
3 years ago
How many ounces of a 25% alcohol solution and a 38% alcohol solution must be combined to obtain 39 ounces of a 32% solution
m_a_m_a [10]

Answer:

18 ounces of the 25% solution

21 ounces of the 38% solution

Step-by-step explanation:

let a be the ounces of 25% alcohol solution

let b be the ounces of 38% alcohol solution

a + b = 39

0.25a + 0.38b = 0.32(39) = 12.48

Rearrange a + b = 39:

a = 39 - b

Now we can substitute a = 39 - b into the other equation

0.25a + 0.38b = 12.48

0.25(39 - b) + 0.38b = 12.48

Simplify by distributing

9.75 - 0.25b + 0.38b = 12.48

Collect like terms

9.75 + 0.13b = 12.48

Isolate b to solve

0.13b = 2.73

b = 2.73/0.13

b = 21

Sub b = 21 into an equation to find "a"

a + b = 39

a + 21 = 39

a = 39 - 21

a = 18

Therefore we need 18 ounces of the 25% solution and 21 ounces of the 38% solution.

3 0
3 years ago
What are the excluded values of x for x + 1/ x^2-1
Snezhnost [94]

The excluded values of x are x=1 and x=-1

Explanation:

The given expression is \frac{x+1}{x^2-1}

The excluded values are the values in the fraction which makes the denominator equal to 0.

Thus, from the definition of excluded values, let us equate the denominator to 0.

Hence, we have,

x^{2} -1=0

Adding both sides of the equation by 1, we get,

x^{2} =1

Taking square root on both sides of the equation, we get,

x=\sqrt{1}

Simplifying, we get,

x=\pm1

Thus, the excluded values of x are x=1 and x=-1

6 0
4 years ago
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