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2 years ago

What is the value of x in this proportion?

Mathematics

1 answer:

astra-53 [7]2 years ago

6 0

Answer:

(a) x=−20 1/2

Step-by-step explanation:

Multiply by the product of the denominators and solve the resulting linear equation in the usual way.

$\dfrac{2}{7}=\dfrac{-5}{x+3}\\\\2(x+3)=-5(7)\qquad\text{multiply by $7(x+3)$}\\\\2x+6=-35\qquad\text{simplify}\\\\2x=-41\qquad\text{subtract 6}\\\\\boxed{x=-20\dfrac{1}{2}}\qquad\text{divide by 2}$

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Danielle constructs a scale model of a building with a rectangular base. Her model is 2 inches in length and 1 inch in width. Th

tatyana61 [14]

Answer: The actual area of the base of the building = 4418 square feet.

Step-by-step explanation:

Dimensions of model: 2 inches in length and 1 inch in width.

The scale on the model is 1 inch = 47 feet.

Actual length = 2 x (47 feet) = 94 feet

Actual width = 1 x 47 feet = 47 feet

Actual area of base of building = (Actual length) x (Actual width)

= 94 x 47 square feet

= 4418 square feet

Hence, the actual area of the base of the building = 4418 square feet.

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3 years ago

A coin is tossed 20 times. It lands on heads 9 times. What is P(H) according to your experiment?Write your answer as a fraction,

Nimfa-mama [501]

The answer is eleven

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3 years ago

Read 2 more answers

What is the root of the polynomial equation *(x-2)(x+3) - 18? Use a graphing calculator and a system of

zysi [14]

Answer:

Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.

This gives you: 1 - 4 - 7 + 10 = 0.

Because 0 = 0 is a true statement, you know that x = 1 is a solution.

Step-by-step explanation:

Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.

This gives you: 1 - 4 - 7 + 10 = 0.

Because 0 = 0 is a true statement, you know that x = 1 is a solution.

5 0

3 years ago

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Vivian surveyed bicyclists in her community to see the average number of miles they biked per day. Her results are shown below.

Alex

Answer:

MAD of her data set is 4.

Step-by-step explanation:

Vivian surveyed bicyclists in her community to see the average number of miles they biked per day.

The data set is given below :

7, 10, 13, 4, 12, 21, 10, 3

$mean=\frac{\text{Sum of data set}}{\text{number of values}}$

$=\frac{(7+10+13+4+12+21+10+3)}{8}$

$=\frac{80}{8}$

= 10

$MAD=\frac{\sum |A_1-f_1|}{n}$

Data point Distance from mean

1 7 7 - 10 = | -3 | = 3

2. 10 10 - 10 = | 0 | = 0

3. 13 13 - 10 = | 3 | = 3

4. 4 4 - 10 = | -6 | = 6

5. 12 12 - 10 = | 2 | = 2

6. 21 21 - 10 = | 11 | = 11

7. 10 10 - 10 = | 0 | = 0

8. 3 3 - 10 = | -7 | = 7

Adding the distance = 3 + 0 + 3 + 6 + 2 + 11 + 0 + 7 = 32

MAD = $\frac{32}{8}$ = 4

MAD of her data set is 4.

Mean Absolute Deviation of this data tells about the variation of 4 miles biked each day by the bicyclists.

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3 years ago

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Answer:

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