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lys-0071 [83]
1 year ago
6

Answer fast its sue by end of class

Mathematics
1 answer:
shtirl [24]1 year ago
6 0

Step-by-step explanation:

question 1. Solve the equation 8-7/10 c = 6 - 1/5c for c

8 - 7/10c = 6 - 1/5c

subtract 8 from both sides:

8 - 7/10c - 8 = 6 - 1/5c - 8

- 7/10c  = -2 - 1/5c

add 1/5c to both sides:

- 7/10c + 1/5c = -2 - 1/5c  + 1/5c

- 7/10c + 1/5c = -2

change to common denominator:

- 7/10c+ 2/10c = -2

- 5/10c = -2

-1/2c = -2

multiply both sides by -2:

- 1/2c(-2) = -2(-2)

c = 4

___________________________________

question 2. 75 - 3.5y - 4y = 4y + 6 for y

75 - 3.5y - 4y = 4y + 6

75 - 7.5y = 4y + 6

add 7.5y to both sides:

75 - 7.5y + 7.5y = 4y + 6 + 7.5y

75 = 11.5y + 6

subtract 6 from both sides:

75 - 6 = 11.5y + 6 - 6

69 = 11.5y

divide both sides by 11.5:

69/11.5 = 11.5y/11.5

y = 6

___________________________________

Question 3. Solve the equation 16.5 + 2.75h = 9h + 7.5 − 4.25h for h.

16.5 + 2.75h = 9h + 7.5 − 4.25h

16.5 + 2.75h = 4.75h + 7.5

subtract 7.5 from both sides:

16.5 + 2.75h - 7.5 = 4.75h + 7.5 - 7.5

9 + 2.75h =  4.75h

subtract 2.75h from both sides:

9 + 2.75h - 2.75h =  4.75h - 2.75h

9 = 2h

divide both sides by 2:

9/2 = 2h/2

h = 9/2

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180 red marbles to 145 blue marbles <br> ratio
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Answer:

36 : 29

Step-by-step explanation:

Require to simplify the ratio

180 : 145

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Simplest form means that no other number but 1 will divide into the 2 parts of the ratio.

6 0
3 years ago
9. A cup of tea costs x pence. Coffee costs 20 pence more. Hermes buys 2 cups of tea and one cup of coffee. In total Hermes pays
qaws [65]

Answer:

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Step-by-step explanation:

<u>Given:</u>

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5 0
2 years ago
A helicopter leaves bristol and flies due east for 10 miles.Then the helicopter flies 8miles north before landing. What is the d
DedPeter [7]

Answer:

The distance of the helicopter from the bristol is approximately 1<u>2.81 miles</u>

Step-by-step explanation:

Given:

Helicopter flies 10 miles east of bristol.

Then the helicopter flies 8 miles North before landing.

To find the direct distance between the helicopter and bristol.

Solution:

In order to find the distance of the helicopter from the bristol before landing, we will trace the path of the helicopter

The helicopter is first heading 10 miles east of bristol and then going 8 miles due north.

On tracing the path of the helicopter we find that the direct distance of the helicopter from the bristol is the hypotenuse of a right triangle formed by enclosing the path of the helicopter.

Applying Pythagorean theorem to find the hypotenuse of the triangle.

Hypotenuse^2=Short\ leg^2+Shortest\ leg^2

Hypotenuse^2=10^2+8^2

Hypotenuse^2=100+64\\Hypotenuse^2=164

Taking square root both sides.

\sqrt{Hyptenuse^2}=\sqrt{164}\\Hypotenuse = 12.81\ miles

Thus, the distance of the helicopter from the bristol is approximately 12.81 miles

6 0
3 years ago
Find the speed<br><br>Example:      396  miles in 6 hours
Ivanshal [37]
To find the speed with given distance and time you just have to divide the distance by time. In this situation it's 396 miles in 6 hours, so it's 396 / 6 = 66 miles in 1 hour. So the speed is 66 mph.
8 0
3 years ago
WILL MARK BRANLIST!!!
miv72 [106K]

Answer:

Step-by-step explanation:

6 0
3 years ago
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