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Gennadij [26K]
3 years ago
7

Fill in the boxes to this long division problem. This is for 20 points!

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

The answer is 106 r 3

Step-by-step explanation:

The work is attached below

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A rectangular bed of a truck is 1 9/10 meters long,1 1/2 meters wide, and 1/2 meter tall. What is the volume of the truck bed?
Sophie [7]

Answer:

The volume of the truck bed is 1\frac{17}{40}\ m^{3}

Step-by-step explanation:

we know that

The volume is equal to

V=LWH

substitute the values , but first convert to an improper fractions

L=1\frac{9}{10}\ m=\frac{10*1+9}{10}=\frac{19}{10}\ m

W=1\frac{1}{2}\ m=\frac{1*2+1}{2}=\frac{3}{2}\ m

H=\frac{1}{2}\ m

Find the volume

V=(\frac{19}{10})(\frac{3}{2})(\frac{1}{2})=\frac{57}{40}\ m^{3}

Convert to mixed number

\frac{57}{40}\ m^{3}=\frac{40}{40}+\frac{17}{40}=1\frac{17}{40}\ m^{3}

3 0
3 years ago
Graph each piecewise function. Then identify the properties.
Alexxx [7]

Answer:

Domain: (-∞, -2) U [-2, 1] U (1, ∞)

Range: (-∞, 2) U [-3, -∞)

Step-by-step explanation:

This function is composed of three polynomial functions, a positive slope line m = \frac{1}{2}, whose domain is all real numbers, a horizontal line, and a negative slope line m = -1 whose domain is all real numbers.

Observe in the attached graph that the function has a discontinuity in x = -2, it has a jump.

When x approaches -2 by the left hand, y tends to 2. But when x approaches -2 from the right y tends to -3.

In addition, the function comes from -∞, then has a maximum value at y = 2 and finally derece up to -∞

Then we can conclude that for this piecewise function:

Domain: (-∞, -2) U [-2, 1] U (1, ∞) All Real Numbers

Range: (-∞, 2) U [-3, -∞)

4 0
4 years ago
Identify which of the following statement(s) is always true?
julia-pushkina [17]

Answer:

Statement 3

Step-by-step explanation:

<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.

Suppose n = 25 (25 is positive integer), then

\sqrt{n}=\sqrt{25}=5

Since 5 is rational number, this statement is false.

<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.

Suppose n = 8 (8 is positive integer), then

\sqrt{n}=\sqrt{8}=2\sqrt{2}

Since 2\sqrt{2} is irrational number, this statement is false.

<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.

If n is a positive integer and square root of n is rational, then n is a perfect square.

If n is a positive integer and n is a perfect square, then square root of n is a rational number.

This statement is true.

8 0
3 years ago
What’s is the answer to y=3x+7<br> Y=x-9
photoshop1234 [79]

Answer:

(- 8, - 17 )

Step-by-step explanation:

Given the 2 equations

y = 3x + 7 → (1)

y = x - 9 → (2)

Substitute y = 3x + 7 into (2)

3x + 7 = x - 9 ( subtract x from both sides )

2x + 7 = - 9 ( subtract 7 from both sides )

2x = - 16 ( divide both sides by 2 )

x = - 8

Substitute x = - 8 into either of the 2 equations for corresponding value of y

Substituting into (2)

y = - 8 - 9 = - 17

Solution is (- 8, - 17 )

6 0
3 years ago
melinda charges $4 per hour for babysitting. Mrs. Garden does not want to spend more than $25 for babysitting. What is the maxim
Rama09 [41]
You would have to divide 25 by 4. You would get 6.25. That means that Melinda can babysit for 6 hours.
3 0
4 years ago
Read 2 more answers
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