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2 years ago

Practice Problems

Mathematics

1 answer:

IgorC [24]2 years ago

7 0

Answer: The absolute values of 7 and -7 are equal because they are both a distance of 7 units from 0 on the number line.

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Factor completely 3x^2+7x-20

zaharov [31]

Answer:

3x^2+12x-5x-20

=3x(x+4)-5(x+4)

=(3x-5) ( x+4)

8 0

3 years ago

How do you Simplify this expression5(x+1)-5x

Mariana [72]

Answer:

Step-by-step explanation:

Begin by removing the brackets.

5x + 5 - 5x

Notice that there are two 5xs. They are of opposite signs so they cancel

Answer 5

6 0

3 years ago

Read 2 more answers

Find the work done in winding up a 175 ft cable that weighs 3 lb/ft.

nignag [31]

Answer:

$work \ done= 45937.5$

Step-by-step explanation:

Work done is given by

$work \ done=\int_a^b w(d-x) \ dx$ , where d = length of cable and w = weight of cable.

Here, d = 175 ft and w = 3 lb/ft

Now, $work \ done=\int_0^{175} 3(175-x) \ dx$

$work \ done= 3\left [175x-\frac{x^2}{2} \right ]_0^{175}$

$work \ done= 3\left [175^2-\frac{175^2}{2} \right ]$

$work \ done= 3\cdot \frac{175^2}{2}$

$work \ done= 45937.5$

8 0

4 years ago

A jar contains a mixture of 10 black balls, 8 red balls, and 2 white balls all the same size. What is the probability of drawing

gayaneshka [121]

Red 8/20 white 2/20 both 50% or 10/20

7 0

3 years ago

9/11 - 1/2 in it's simplest form

Murrr4er [49]

Answer:

7/22

Step-by-step explanation:

Step 1: Define/explain.

To subtract fractions with different denominators, you must first find the least common denominator (LCM).

You can do this by listing the multiples of each denominator.

Step 2: Solve.

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

22 is the LCM.

Now, we change the fractions to where they both have denominators of 22.

**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**

$9/11*2/2=18/22$

$1/2*11/11=11/22$

Now, subtract as normal.

$18/22-11/22=7/22$

$7/22 (simplified).$

Step 3: Conclude.

Therefore, 9/11 - 1/2 = 7/22.

5 0

3 years ago