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2 months ago

Guest #1626847

2 months ago

**Answer:**

x > 4

**Step-by-step explanation:**

27 < 5 ( x ) + 7

27 < 5x + 7

20 < 5x

4 < x

x > 4

Question

Determine the volume of a cube with side lengths of 2 1/4 cm.

Solution 1

The formula for volume of a cube is V = S^3 where S is the length of a side.

Volume = 2 1/4^3

Volume = 2 1/4 x 2 1/4 x 2 1/4

Volume = **11 25/64** as a fraction or 11.390625 as a decimal.

Question

Chris bought 104 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which
measurement is closest to the number of liters of
gasoline Chris bought?

Solution 1

**Answer:**

395.2

**Step-by-step explanation:**

104 times 3.8 is 395.2

Solution 2

**Answer:**

It is 395.2. hope this helps.

Question

Solve the following equation. 6(z â€“ 2) + 4 = 10 A. z = 2 B. z = 3 C. z = â€“3 D. z = â€“4 Please Help Fast!

Solution 1

The answer is choice b :)))

Solution 2

Step one:Write down the question

Step 2: Distribute

Step 3: Do the necessary addition and subtraction

Step 4: Combine like terms

Step 5:Divide both sides by the coefficient of z

You have z YAY!!

Step 2: Distribute

Step 3: Do the necessary addition and subtraction

Step 4: Combine like terms

Step 5:Divide both sides by the coefficient of z

You have z YAY!!

Question

505837â€¢4637848= what

Solution 1

**Answer:**

2,345,995,118,776

**Step-by-step explanation:**

multiply the two numbers together

Question

Simplify. 17-6x10/2+12

Solution 1

Answer:Use PEMDAS (Please Exuse MyDear AuntSally)

Since there are no parentheses or exponents we go to the next thing which is multiplication and division.6Ã—10=60.Then you divide that by 2 to get 30.Then do 17-30=-13.Then -13+12=-1.

I hope this helps

Question

An airplane flies due North at 100mph through a 30mph cross wind blowing from S80E. Determine the resultant velocity and direction of the airplane

Solution 1

We want to get the **resultant velocity **and** direction **of an airplane given that we know the** velocity **of the airplane and the** velocity **of the wind.

We will get that the** velocity is 70.7 mph** and the **direction **is** 85.8Â° north of east.**

First, let's define north as the positive y-axis and east as the positive x-axis.

The airplane flies due north at 100mph, then the** velocity** of the airplane alone is:

V = (0mph, 100 mph)

The wind's **velocity **has a** magnitude **of 30mph at 80Â° south from east (or an angle of -80Â° in a general coordinate axis) then the** components** are:

- x-component = 30mph*cos(-80Â°) = 5.2 mph
- y-component = 30mph*sin(-80Â°) = -29.5 mph

Then the **vector **is:

V' = (5.2mph, -29.5 mph)

The **resultant velocity **is just the sum of these two vectors, so we have:

resultant velocity = (0mph, 100 mph) + (5.2mph, -29.5 mph)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (5.2 mph, 70.5 mph)

The** magnitude **is:

M = âˆš( (5.2 mph)^2 + ( 70.5 mph)^2) = **70.7 mph**

And the** direction** is given by:

Î¸ = Atan(70.5 mph/5.2 mph) =** Â 85.8Â°**

Meaning that the **direction **is** 85.8Â° north of east.**

If you want to learn more, you can read:

Solution 2

**Answer:**

velocity of the airiplaine is 104 m/s ( 73 degrees N of W)

**Step-by-step explanation:**

Question

The price for the used paperback books at the yard sale was $0.25 less than for the hardcover books. How
many more paperback books than hardcover books
could someone buy with $3.00?
Show your work.

Solution 1

**Answer:**

someone could buy 2 more paperback books than hardcover with 3 dollars

**Step-by-step explanation:**

Question

The ratio to adults at school festival 11/7 suppose there are a total of 810 kids and adults at the festival how many adults are the festival?

Solution 1

**Answer:**

they are 45 adults because 816Ã·18 is 45

Question

What is the mean out of 20,12,29,49

Solution 1

Answer:27.5

Step-by-step explanation: 20+12+29+40=110

Then divide 110 by the number of numbers that you have (110Ã·4) which is 27.5

Question

The volume of a rectangular prism is 16.328 cmÂ³. The height is 3.14 cm. a. Let B represent the area of the base of the rectangular prism. Write an equation that relates the volume, the area of the base, and the height.
b. Solve the equation for B.

Solution 1

**Answer:**

The area of the base is = 5.2 cmÂ²

**Step-by-step explanation:**

*First, we need to know the formula to calculate volume:*

*if we change to our equations to the values we know:*

*Since 3.14 is multiplying B,we can pass it to divide the volume to the left side:*

*We calculate the operation=*

*And the answer is 5.2 cmÂ²*

*Let me know if you have any question :D*

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