What is the area, in square, of the rectangle?Sides 2
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9

Top and bottom 3
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7

Answers

Answer 1

Answer: For the area of a square or rectangle you multiply the sides. So 2 times 9 is 18. And then for the other it would be 3 times 7, which is 21.

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Which expression is equivalent to2(3g-4)-(8g + 3)?
1) -2g - 1
2) -2g - 5
3) -2g -7
4) -29 - 11

Answers

Answer:

4) -2g - 11

Step-by-step explanation:

2(3g-4)-(8g + 3) =

6g - 8 - 8g - 3 =

- 2g - 11

The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?

Answers

With the created probability distribution below, the answer to the question you have presented above would be .6. The probability that a worker chosen at random works at least 8 hours would be .6.

The probability that a worker chosen at random works at least 8 hours is 0.84

Data obtained from the question

Probability of 6 hours = 0.02
Probability of 7 hours = 0.11
Probability of 8 hours = 0.61
Probability of 9 hours = 0.15
Probability of 10 hours = 0.08
Probability ofatleast8hours=?

How to determine the probability of at least 8 hours

At least 8 hours simply means 8 hours and above

Thus, the probability of at least 8 hours can be obtained as illustrated below:

P(At least 8 hours) = P(8) + P(9) + P(10)

P(At least 8 hours) = 0.61 + 0.15 + 0.08

P(At least 8 hours) =0.84

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Nathan uses 1/18 of a gallon of milk each time he eats a bowl of cereal.Nathan has used 8 gallons of milk for cereal in one year.how many bowls of cereal did he eat?

Answers

Let us assume the total number of bowls of cereal that Nathan has eaten in a year = x

With each bowl of cereal, Nathan has 1/18 gallon of Milk.

In total the number of gallons of mulk in a year = 8 gallons,

Therefore, we frame the equation as shown below to calculate "x"

1/18 * x = 8

x = 18*8 = 144

Number of bowls of cereal Nathan ate in a year = 144 bowls

To do this we would have to do 18×8, which equals 142. 142 bowls of cereal.

Solve the equation and check your answer.
(that is one fifth )
1/5t-3=-17

Answers

$(1)/(5) t$ - 3 = -17

First, simplify $(1)/(5) t$ to $(t)/(5)$ / Your problem should look like: $(t)/(5) - 3 = -17$
Second, multiply both sides by 5. / Your problem should look like: $t - 15 = -85$
Third, add 15 to both sides. / Your problem should look like: $t = -85 + 15$
Fourth, simplify -85 + 15 to get -70. / Your problem should look like: $t = -70$

CHECKING:
$(1)/(5) t - 3 = -17$
First, let t = -70 / Your problem should look like: $(1)/(5) x -70-3=-17$
Second, simplify $(1)/(5) x -70$ to $-(1)/(5)x70$ / Your problem should look like: $-(1)/(5) x 70-3=-17$
Third, simplify $(1)/(5) x70$ to $(70)/(5)$ / Your problem should look like: $- (70)/(5) -3=-17$
Fourth, since 14 goes into 5 to get 70, simplify the fraction by 14. / Your problem should look like: $-14-3=-17$
Fifth, simplify -14 - 3 to get -17 / Your problem should look like: $-17 = -17$

Answer: t = -70

Use the drop-down menus to locate integers on the number line.A number line going from negative 5 to 7. A is at negative 4, B is at negative 1, C is at 2, D is at 6.

A -4. -1 , 6, 2
B -4, -1, 6 , 2
C -4, -1, 6, 2
D -4, -1, 6, 2

Answers

A is -4

B is -1

C is +2

D is +6

( example: +3 is positive 3

-3 is negative 3 )

Hope this helped!

Simplify 81^1/2
Please simplify and show steps

Answers

$a^(n)/(m)=\sqrt[m]{a^n}\n\n\n81^(1)/(2)=√(81)=9\n\n\n81^(1)/(2)=(9^2)^(1)/(2)=9^{2\cdot(1)/(2)}=9$

The expression 81⁽¹/²⁾ simplifies to 9.

To simplify the expression 81¹/², we can evaluate the squareroot of 81.

The square root of a number x is a value that, when multiplied by itself, gives x. In this case, we're looking for the number that, when squared, equals 81.

The square root of 81 is 9 since 9 x 9 = 81.

Therefore, 81⁽¹/²⁾ simplifies to 9.

In terms of steps, we can represent the process as follows:

1. Recognize that 81⁽¹/²⁾ represents the square root of 81.

2. Evaluate the squareroot of 81, which is 9.

3. Thus, 81^(1/2) simplifies to 9.

By simplifying the expression, we find that 81⁽¹/²⁾is equal to 9.

To learn more about the expression;

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What is the 10th term of the pattern with general rule 6n + 11?