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inna [77]
3 years ago
13

Devaughn's age is two times Sydney's age. The sum of their ages is

Mathematics
2 answers:
blagie [28]3 years ago
8 0

Devaughn's age = d

Sydney's age = s

d = 2s

d + s = 15

2s + s = 15

3s = 15

s = 5

Sydney is 5 years old

leonid [27]3 years ago
4 0
5? Because 5x2 is 10 and 10+5 is 15.
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What is the answer to this math question 2 1/12-5 5/6
AleksandrR [38]

<em><u>The solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

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

We have to solve the given expression

<em><u>Given expression is:</u></em>

2\frac{1}{12} - 5\frac{5}{6}

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}

5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}

<em><u>Thus the given expression becomes,</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}

Make the denominators same for easier calculations

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}

<em><u>Reducing to lowest terms, we get</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}

<em><u>In decimal form, we get</u></em>

\rightarrow \frac{-15}{4} = -3.75

<em><u>Thus the solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

6 0
3 years ago
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There ar
xz_007 [3.2K]

Answer: \dfrac{1}{4}

Step-by-step explanation:

Given

The total no of beads is 52

there 13-red,13-blue,13-green, and 13-black

favorable outcomes to select a blue bead is 13

Total outcomes are 52

Probability is given by

P=\dfrac{\text{favorable}}{\text{Total outcomes}}\\\\\Rightarrow P=\dfrac{13}{52}=\dfrac{1}{4}

7 0
2 years ago
Select the correct answer.<br> What is the value of g(2)
Mariulka [41]

Answer:

1

answer is D

Step-by-step explanation:

we must calculate it from this equation :

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4 0
2 years ago
What is the value of the expression 5^2 + 2^2?
leva [86]
It would be 7x7 + 2x2 = 53
8 0
3 years ago
When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c
Gennadij [26K]

Given:

The formula for total cost is

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To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

14.77=14+\dfrac{s}{100}(14)

14.77-14=\dfrac{s}{100}(14)

0.77=\dfrac{s}{100}(14)

Multiply both sides by 100.

77=14s

Divide both sides by 14.

\dfrac{77}{14}=s

5.5=s

Therefore, the tax rate is 5.5%.

7 0
3 years ago
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