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vladimir1956 [14]

3 years ago

8

Over the weekend, Halverson had put together 3/16 of a jigsaw puzzle, while Jamie put together 10/16 of a jigsaw puzzle. Who had

completed a greater fraction of the jigsaw puzzle, and by how much.

1 answer:

Molodets [167]3 years ago

8 0

Jamie completed 7/16 more than Halverson because 10/16-3/16 is 7/16

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Add and Subtract Rational Expressions with a Common Denominator

Sladkaya [172]

Answer:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}$

Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}$

Operating on the numerators:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}$

Removing parentheses:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}$

Simplifying:

$\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}$

The expression cannot be further simplified.

7 0

2 years ago

A stray dog ate 10 of your muffins. That was 5/6 of all of them! How many are left?

Finger [1]

Answer:

12

Step-by-step explanation:

you first make an equation of 5/6x = 10, then divide 5/6 on both sides to get x = 12

4 0

3 years ago

What is the perimeter of the figure

anastassius [24]

Answer:

Option A.

$P=73.4\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In this problem we have a triangle with a circle inscribed in it

so

$A.F=A.B\\C.B=C.D\\E.F=E.D$

step 1

Find the length side B.C

$C.B=A.C-A.B$

substitute the given values

$C.B=23-14=9\ units$

step 2

Find the length side C.D

Remember that

$C.D=C.B$

therefore

$C.D=9\ units$

step 3

Find the length side E.D

we know that

$E.D=E.C-C.D$

substitute the given values

$E.D=22.7-9=13.7\ units$

step 4

Find the length side E.F

Remember that

$E.F=E.D$

therefore

$E.F=13.7\ units$

step 5

Find the length side A.F

Remember that

$A.F=A.B$

therefore

$A.F=14\ units$

step 6

Find the perimeter

$P=23+22.7+13.7+14$

$P=73.4\ units$

6 0

3 years ago

What unit of measurement would be most useful to find the volume of a standard-sized stapler? Select one:

Feliz [49]

A. mm2 is the correct answer

7 0

3 years ago

Read 2 more answers

Jessica's teacher asked her to divide 5/8 of the box of crayons

yaroslaw [1]

Answer:

Each classmate received 1/16

Step-by-step explanation:

5/8= 0.625

0.625 ÷ 10 = 0.0625

= 1/16

4 0

2 years ago