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4 years ago

Can you help with this problem 5×-(14-×)=-30-2×

Mathematics

1 answer:

REY [17]4 years ago

6 0

Answer:

-2

Step-by-step explanation:

First remove parenthesis. Next collect the like terms. Next move terms. Next collect the like terms and calculate. Divide both sides by 8. Your answer is -2

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Two cars leave Phoenix and travel along roads 90 degrees apart. If Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mp

romanna [79]

Answer:

C. 210 miles

Step-by-step explanation:

We have been given that two cars leave Phoenix and travel along roads 90 degrees apart. Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mph.

We will use distance formula and Pythagoras theorem to solve our given problem.

$\text{Distance}=\text{Speed}\times \text{Time}$

$\text{Distance covered by Car 1 in 3.5 hours}=\frac{42\text{ Miles}}{\text{Hour}}\times \text{3.5 hour}$

$\text{Distance covered by Car 1 in 3.5 hours}=147\text{ Miles}$ .

Since car 1 leaves 30 minutes before car 2, so car 2 will travel for only 3 hours when car 1 will travel for 3.5 hours.

$\text{Distance covered by Car 2 in 3 hours}=\frac{50\text{ Miles}}{\text{Hour}}\times \text{3 hour}$

$\text{Distance covered by Car 2 in 3 hours}=150\text{ Miles}$

Since both car travel along roads 90 degree apart, therefore, the distance between both cars after Car 1 has traveled 3.5 hours would be hypotenuse with legs 147 and 150.

$\text{Distance between both cars}=\sqrt{147^2+150^2}$

$\text{Distance between both cars}=\sqrt{21609+22500}$

$\text{Distance between both cars}=\sqrt{44109}$

$\text{Distance between both cars}=210.021427\approx 210$

Therefore, the both cars will be 210 miles apart and option C is the correct choice.

3 0

3 years ago

A circle is inscribed a in a square. The side length of the square is X in. If the area of the shaded region is 20 pie, what is

Alborosie

Answer:

8.555 in.

Step-by-step explanation:

So the area of the square is x^2.

This makes that the area of the circle is x^2 - 20 pie.

The radius of the circle is half of the diameter, so it is 0,5x.

The formula for the circle area is:

Area = pie * r^2.

x^2 - 20 pie = pie * (0,5x)^2

x^2 - 20 pie = pie * 0,25x^2

x^2 - pie * 0,25x^2 = 20 pie

x^2 * (1 - 0,25 pie) = 20 pie

x^2 = 20pie / (1 - 0,25 pie)

x = square root (20pie / (1 - 0,25 pie)) = 17.11

So the radius is 0,5 * 17.11 = 8.555 in.

6 0

3 years ago

The Smith Family has 4 sons and 3 daughters. In how many ways can they are seated in a row of chairs such that at least 2 boys a

Snowcat [4.5K]

Answer:

4 different ways

Step-by-step explanation:

7 0

3 years ago

Working together, Alex and Millie can file all the papers in the file cabinets in 4 hours. It would have taken Alex 6 hours to d

Ivan

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

<span>The set up is normally
t/A + t/B = 1 (as in 1 job)

</span><span>Here you are given t, the time worked together, and A, Alex's alone time...now we need to find B, Millie's alone time...so
4/6 + 4/B = 1
B turns out to be 12...which means
Alex did 2/3 the job and Millie did 1/3</span>

6 0

4 years ago

Read 2 more answers

What is the simplest form of the ratio 32 : 48?

podryga [215]

The reduced form of
32
48
is
2
3

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator
GCD of 32 and 48 is 16
Divide both the numerator and denominator by the GCD
32 ÷ 16
48 ÷ 16
Reduced fraction: 2/3

8 0

4 years ago

Can you help with this problem 5×-(14-×)=-30-2×​

Can you help with this problem 5×-(14-×)=-30-2×