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irakobra [83]
3 years ago
13

While you're in the parking lot, you realize that both the lightbulbs and the light switches

Mathematics
1 answer:
Romashka [77]3 years ago
4 0

Cost of Lightbulb = x

cost of switch is x-8


9x + 4(x-8) = 520.50

Use distributive property:

9x + 4x -32 = 520.50

Simplify:

13x -32 = 520.50

Add 32 to both sides:

13x = 552.50

Divide both sides by 13

X = 42.50


A lightbulb costs $42.50

A switch costs 42.50-8 = $34.50

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Line m passes through the points (-2,7) and (4,-5), as shown below. Which of the following could be the equation of a line that
True [87]

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

To find the slope (m), use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}      And plug in the two points

(-2, 7) = (x₁, y₁)

(4, -5) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-5-7}{4-(-2)}   (two negative signs cancel each other out and become positive)

m=\frac{-5-7}{4+2}

m=\frac{-12}{6}     Simplify the fraction

m = -2        

The slope is -2, so the parallel line's slope is also -2.

Your answer is C

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4 years ago
What is 19 hundred thousandths in scientific notation
aniked [119]
It is .00019



hope it helps!
3 0
3 years ago
Read 2 more answers
What is the answer to 64.521-1.400
goldenfox [79]
Subtract 1.400 from 64.521 and you get 63.121.
7 0
3 years ago
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The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016
hodyreva [135]

Answer:

Required Probability = 0.97062

Step-by-step explanation:

We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.

Let X = weight of the newborn baby, so X ~ N(\mu=4016 , \sigma^{2} = 532^{2})

The standard normal z distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

Now, probability that the weight will be less than 5026 grams = P(X < 5026)

P(X < 5026) = P( \frac{X-\mu}{\sigma} < \frac{5026-4016}{532} ) = P(Z < 1.89) = 0.97062

Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .

5 0
3 years ago
The circumference of a circle is 3.14 inches.<br> What is the area of the circle?
SVETLANKA909090 [29]

Answer:

A = .785 inches ^2

Step-by-step explanation:

C = pi *d

We know the diameter = 2*r

C = pi*2*r

Substituting pi = 3.14 we can solve for r

3.14 = 2*pi*r

3.14 = 2*3.14 *r

Divide by 3.14 on each side

3.14/3.14 = 2*3.14 *r/3.14

1 = 2r

Divide by 2

1/2 =2r/2

1/2 =r

Now we can find the area

A = pi *r^2

A = 3.14 *(1/2)^2

A= 3.14 *1/4

A = .785 inches ^2

6 0
3 years ago
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