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Brilliant_brown [7]
3 years ago
6

a student athlete rums 3 1/3 miles in 30 minutes a professional runner can run 1 1/4 times as far in 30 minutes how far can the

professional runner run in 30 minutes
Mathematics
1 answer:
Vlada [557]3 years ago
4 0
The proffesional runner can run 50/12 miles or 4 1/6.

To figure this out turn both mixed numbers into improper fractions (denominator x whole number + numerator) and multiply both of the improper fractions ( numerator x numerator denominator x denominator )
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What is the least common denominator (LCD)
Romashka [77]

The least common denominator is 15. The equivalent fractions would be 10/15 and 12/15.

3 0
3 years ago
Juans three math quizzes this week took him 1/3?4/6?and1/5 hour to complete. List all the fraction from least to greatest
Alex

Answer:

\frac{1}{5} ,  \frac{1}{3} , \frac{4}{6}.

Step-by-step explanation:

Given fractions \frac{1}{3}, \frac{4}{6}, \frac{1}{5}.

We need to list them from least to greatest.

In order to arrange them from least to greatest, we need to find the least common denominator of  \frac{1}{3}, \frac{4}{6}, \frac{1}{5}.

We have 3, 6 and 5 in denominators.

Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.

Let us covert each denominator as 30.

Multiplying first fraction \frac{1}{3} by 10 in top and bottom, we get

\frac{1}{3} = \frac{1\times10}{3\times10}=\frac{10}{30}

Multiplying first fraction \frac{4}{6} by 5 in top and bottom, we get

\frac{4}{6} = \frac{4\times5}{6\times5}=\frac{20}{30}

Multiplying first fraction  \frac{1}{5} by 6 in top and bottom, we get

\frac{1}{5} = \frac{1\times6}{5\times6}=\frac{6}{30}.

Now, we can check \frac{10}{30}, \frac{20}{30} \ and \ \frac{6}{30}.

\frac{6}{30} is the smallest, \frac{10}{30} is greater and \frac{20}{30} is the greatest.

Therefore, we can arrange fractions\frac{6}{30}, \frac{10}{30} \ and \ \frac{20}{30}.

Writing original fractions in place of equivalent fractions, we can write

\frac{1}{5} ,  \frac{1}{3} and  \frac{4}{6}.

Therefore, the order the amounts of paint from least to greatest is:

\frac{1}{5} ,  \frac{1}{3} , \frac{4}{6}.




4 0
3 years ago
Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified
Artemon [7]

Answer:

7x+6

Step-by-step explanation:

Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?

Simplified Expression:

3(x + 4) + 2(2x – 3)

3x+12+2(2x-3)

3x+12+4x-6

7x+6

8 0
2 years ago
Read 2 more answers
Find the values of the missing sides in the parallelogram given.
natta225 [31]

Given:

m∠B = 44°

Let's find the following measures:

m∠A, m∠BCD, m∠CDE

We have:

• m∠A:

Angle A and Angle B are interior angles on same side of a transversal.

The interior angles are supplementary.

Supplementary angles sum up to 180 degrees

Therefore, we have:

m∠A + m∠B = 180

m∠A + 44 = 180

Subtract 44 from both sides:

m∠A + 44 - 44 = 180 - 44

m∠A = 136°

• m,∠,BCD:

m∠BCD = m∠A

Thus, we have:

m∠BCD = 136°

• m∠CDE:

Angle C and angle CDE form a linear pair.

Linear pair of angles are supplementary and supplementary angle sum up to 180 degrees.

Thus, we have:

m∠D = m∠B

m∠D = 44°

m∠CDE + m∠D = 180

m∠CDE + 44 = 180

Subract 44 from both sides:

m∠CDE + 44 - 44 = 180 - 44

m∠CDE = 136°

ANSWER:

• m∠A = 136°

,

•

,

• m∠BCD = 136°

,

•

,

• m∠CDE = 136°

6 0
1 year ago
Decimal expansion of 5/8
4vir4ik [10]

Answer:

0.625

Step-by-step explanation:

5/8 is the same as dividing so divide them both and it will equal 0.625

3 0
3 years ago
Read 2 more answers
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