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inn [45]
3 years ago
8

PLEASE HELP ASAP WILL GIVE BRAINLIEST !!

Mathematics
1 answer:
STatiana [176]3 years ago
7 0
The answer is:

B) The solution is (4, 200). This means that it will cost me $200 to go to either gym 4 times.

the equations given to you were:
(C = 100 + 25x) and (C = 50x)

well, if you plug in 200 for C and 4 for x you get these equations,
200 = 100 + 25(4), and 200 = 50(x)

I solved both step-by-step below.
1. C = 100 + 25x plug in points
200 = 100 + 25(4) solve the parenthesis's
200 = 100 + 100 combine like terms
200 = 200 both sides are equal

2. C = 50x plug in points
200 = 50(4) solve the parenthesis's
200 = 200 both sides are equal
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Which equation does the graph of the systems of equations solve?
mihalych1998 [28]

Answer:

\text{B. }\frac{1}{3}x-3=-x+1

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to (x_1,y_1) and (x_2, y_2) (doesn't matter which you assign) and use the slope formula:

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

Let:

(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)

The slope is equal to:

m=\frac{0-1}{1-0}=\frac{-1}{1}=-1

Therefore, the slope of this line is -1. In slope-intercept form y=mx+b, m represents slope, so one of the lines must have a term with -x in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)

Using the slope formula:

m=\frac{-2-(-3)}{3-0}=\frac{1}{3}

Thus, the slope of the line is 1/3 and the other line must have a term with \frac{1}{3}x in it, eliminating answer choice C and leaving the answer \boxed{\text{B. }\frac{1}{3}x-3=-x+1}

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into y=mx+b

7 0
3 years ago
Jamie is rolling two dice. What is the probability that she will not roll a 5 on either die?
Ira Lisetskai [31]

Answer:

10/12

Step-by-step explanation:

Since there are 6 sides on each die, and 2 dice, there are 12 choices. There are two fives so we subtract that from 12. The probability that Jamie will not roll a 5 on either die is 10 out of 12. I hope this helps! Please mark me brainliest!

3 0
3 years ago
Which of the following linear equations represents the data chart?
BlackZzzverrR [31]

Answer: y = -x + 7

Step-by-step explanation:

The slope is \frac{5-6}{2-1}=-1, so we know the equation is of the form y=-x+b.

Substituting in the coordinates (1,6) to find b,

6=-1+b\\\\b=7

Thus, the equation is y = -x + 7

4 0
2 years ago
Please help and thannks
blsea [12.9K]

Answer:

745

Step-by-step explanation:

3 0
4 years ago
The diameter of a pearl is about 4 x 10-3cm and the diameter of an atom is about10-11m. How much larger than an atom is a pearl?
Ugo [173]

Answer:

  • D. 4 × 10⁶ times

Step-by-step explanation:

<u>The diameter of a pearl is </u>

  • 4 × 10⁻³cm = 4 × 10⁻⁵ m

<u>The diameter of an atom is</u>

  • 10⁻¹¹m

<u>How much larger than an atom is a pearl?</u>

  • 4 × 10⁻⁵ ÷ 10⁻¹¹ = 4 × 10⁻⁵⁺¹¹ = 4 × 10⁶ times

Correct option is D

5 0
3 years ago
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