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3 years ago

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Taylor runs everyday in June except Sunday’s. He wants to run 21 miles this week and he plans to run the same number of miles ea

ch day. How many miles does Taylor need to run each day? Express the quotient as a mixed number

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

“ 30 “ I believe is the answer

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Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l

creativ13 [48]

Using a system of equations, it is found that the unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

For the system:

x is the unit price of a bag of chips.

y is the unit price of liter of pop.

z is the unit price for a chocolate bar.

From the table, the equations are:

$2x + 2y + z = 9.25$

$3x + 4y + z = 14.50$

$x + 3y + 3z = 12$

Replacing the <u>first equation on the second and the third:</u>

$z = 9.25 - 2x - 2y$

$3x + 4y + z = 14.50$

$3x + 4y + 9.25 - 2x - 2y = 14.50$

$x + 2y = 5.25$

$x = 5.25 - 2y$

$x + 3y + 3z = 12$

$x + 3y + 3(9.25 - 2x - 2y) = 12$

$-5x - 3y = -15.75$

$5x + 3y = 15.75$

Since $x = 5.25 - 2y$ :

$5(5.25 - 2y) + 3y = 15.75$

$-7y = -10.5$

$y = \frac{10.5}{7}$

$y = 1.5$

Then:

$x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25$

$z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75$

The unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

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3 years ago

Two angles of a quadrilateral are 40 degree and 60 degree and the ratio of remaining two angles is 7:6. The degree measure of re

Semenov [28]

Answer:

140,120

Step-by-step explanation:

sum of angles in a quadrilateral =360

sum of the 1st two angles=60+40=100

360-100=260

the ratio of the remaining angles 7:6

therefore:

$\frac{7}{13} \times 260$

=140

for the second angle

260-140=120

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2 years ago

What is 10% of 360? 18 36 90 180

Snowcat [4.5K]

Answer:

36

Step-by-step explanation:

10% of 360=10/100*360=1/10*360=360/10=36

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3 years ago

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Find the unit rate of 8 teaspoon for 4 cups.

Igoryamba

Answer:

2 teaspoons for 1 cup

Step-by-step explanation:

8 divided by 4 is 2

4 divided by 4 is 1

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In music what does allegro meanIT MEANS FAST

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