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pishuonlain [190]
3 years ago
9

Evaluate the expression. -7- (-6) + 4 a. 5 b. 3 c. -17 d. -9

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

4(5) + 5(6) - (-4/-2)

.

just to help keep the signs straight, but there is nothing wrong with the way you did it.

.

Now you can just start simplifying ... term by term. Multiply the 4 times the 5 and you get:

.

20 + 5(6) - (-4/-2)

.

Then multiply the 5 times the 6:

.

20 + 30 - (-4/-2)

.

Next divide the terms in the parentheses. -4 divided by -2 is +2 and you have:

.

20 + 30 - (+2)

.

When you remove parentheses preceded by a minus sign, you change the signs of the terms

inside the parentheses. So - (+2) becomes -2 when the parentheses are taken out and the

expression becomes:

.

20 + 30 - 2

.

Now add the three terms and the result is +48

.

Hope this clarifies the problem for you. Good job ...

.

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Answer:x=3

Step-by-step explanation:

-5x=-15

divide by -5

x=3

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Maksim231197 [3]
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3 years ago
The chemistry class was making 300 gallons of 30% isopropyl alcohol. They mixed 12% with 42%. How much of each did they use?
alexgriva [62]

Answer:

<u>The chemistry class mixed 120 gallons of 12% isopropyl alcohol and 180 gallons of 42% isopropyl alcohol.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of isopropyl alcohol made by the chemistry class = 300 of 30%

Amount of 12% isopropyl alcohol mixed by the chemistry class = x

Amount of 42% isopropyl alcohol mixed by the chemistry class = 300 - x

2. How much of each did they use?

Let's write our equation to solve for x, this way:

30% = 0.3, 12% = 0.12, 42% = 0.42

0.12x + 0.42 (300 - x) = 0.3 * 300

0.12x + 126 - 0.42x = 90

-0.3x = 90 - 126

-0.3x = -36

x = -36/-0.3

<u>x = 120 ⇒ 300 - x = 180</u>

<u>Let's prove x = 120 is correct</u>

0.12x + 0.42 (300 - x) = 0.3 * 300

0.12 * 120 + 0.42 (300 - 120) = 0.3 * 300

14.4 + 75.6 = 90

90 = 90

<u>We proved x = 120 is correct</u>

5 0
3 years ago
Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The number
Fiesta28 [93]

Answer:

Discrete variables are those whose distribution will only take a finite number of values which are represented by integer values only.

Continous variables on the other hand could have an infinite number of points inbetween two integer values. With the values inbetween being decimals.

Step-by-step explanation:

a. The number of textbook authors now sitting at a computer :

A discrete random variable

Number of authors will be an integer value.

b. The height of a randomly selected giraffe ;

Continous random variable

Possible height value : h > 0

c. The responce to the survey question "Did you smoke in the last week"

It is not a random Variable

The response isn't numeric

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It is a continous random variable

Possible values ; amount of rain > 0

e. The time it takes to fly from City A to City B

It is a continous random variable

Time could take up seconds value ;

Possible values : t > 0

f. The number of light bulbs that burn out in the text week in a room with 17 bulbs

It is a discrete random variable

Number of bulbs is defined

6 0
3 years ago
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