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finlep [7]
3 years ago
9

ann arranges her marbles in groups, with 8 marbles in each group. She writes the fraction 5/8 to show the fraction of marbles in

a group that is red. What equivalent fraction name the fraction of marbles in 6 groups that are red? Explain
Mathematics
1 answer:
DerKrebs [107]3 years ago
8 0
If there are 8 marbles in a group , and 5 out of every 8 is red, than in six groups there would be 5, 10, 15, 20, 25, 30 red marbles.

This lists the group of 6 sets.

30 red marbles in 6 sets.
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If a triangle is 12 inches high and has a 20 inch long hypotenuse then how wide is it?
Ber [7]

Answer:

The triangle should be 16 inches wide.

Step-by-step explanation:

\text {Use the Pythagorean Theorem to solve for the leg.}\\a^2 + b^2 =c^2

What we know:

  • One of the legs measures 12 inches.
  • The hypotenuse is 20 inches.

We need to solve for b. Solving for a while b is 12 would also be acceptable.

12^2 + b^2 = 20^2  \text {  OR  }   a^2 +12^2=20^2

We will use the first equation.

12^2 + b^2 = 20^2\\12 * 12 = 144\\20 * 20 = 400\\\\\boxed {144 + b^2 = 400}

\text {Subtraction property of equality: }\\144-144+ b^2 = 400-144\\\boxed {b^2 = 256}\\\\\text {Take the square root of 256: }\\\sqrt{256}=\sqrt{b^2} \boxed {16 = b}

The triangle should be 16 inches wide.

3 0
3 years ago
Solve the equation . (-2 1/7)p=-3
34kurt

Answer:

p = \frac{7}{5}

Step-by-step explanation:

change the mixed number to an improper fraction

- 2 \frac{1}{7} = - \frac{15}{7}, hence

- \frac{15}{7} p = - 3 ( multiply both sides by 7 )

- 15p = - 21 ( divide both sides by - 15 )

p = \frac{-21}{-15} = \frac{7}{5}



7 0
3 years ago
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