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scoundrel [369]
3 years ago
5

1. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+

20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B
Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

C

Step-by-step explanation:

<u>Equation A</u>

16x - 7 = 11x - 32

(16x - 7) - 11x = (11x - 32) -11x

5x - 7 = -32

(5x - 7) + 7 = (-32) + 7

5x = -25

(5x)/5 = (-25)/5

x = -5

<u>Equation B</u>

-4x - 10 = 2x + 20

(-4x - 10) - 2x = (2x + 20) - 2x

-6x - 10 = 20

(-6x - 10) + 10 = (20) + 10

-6x = 30

(-6x)/-6 = (30)/-6

x = -5

Both Equation A and Equation B have a solution of -5.

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Answer:

Step-by-step explanation:

The number is 49, First do 21 / 3 to find what 1/7 of the number is. We get 7, so we know 1/7 is 7 so if we do 7 x 7 we will have 7/7 or one whole and 7x7 is 49. Hope this helps

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3 years ago
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3 years ago
The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste and 2460 dollars for 135 kg of waste. (a)
Ulleksa [173]

Answer:

C=18w+30

Step-by-step explanation:

We are given that The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste

So, (x_1,y_1)=(100,1830)

We are also given that The monthly charge for a waste collection service is 2460 dollars for 135 kg of waste.

So, (x_2,y_2)=(135,2460)

We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

Formula : y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Substitute the values

y-1830=\frac{2460-1830}{135-100}(x-100)

y-1830=18(x-100)

y-1830=18x-1800

y=18x-1800+1830

y=18x+30

y denotes the cost

x denotes the weight

So, Replace y with C and x with w

C=18w+30

So, a linear model for the cost, C, of waste collection as a function of the number of kilograms, w is C=18w+30

7 0
3 years ago
Assume that adults have IQ scores that are normally distributed with a mean of 101.3 and a standard deviation 19.9. Find the fir
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Answer:

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Use a calculator or table to find the z-score that corresponds to 25%.

P(Z < z) = 0.25

z = -0.675

Now find the value that corresponds to that z score.

z = (x − μ) / σ

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4 0
3 years ago
This is for algebra 2 and I got stuck on this anyone know this?
AnnZ [28]
You just simplify the fraction (so, 8/6 which is 4/3)

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