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777dan777 [17]
2 years ago
9

Wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and w

ill save $25 each month. The second runner has $50 in savings and will save $60 each month.
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?

112 – 25m + 45 = 50 – 60m
112 + 25 + 45m = 50m + 60
112 + 25 – 45m = –50m + 60
112 + 25m + 45 = 50 + 60m
Mathematics
1 answer:
SpyIntel [72]2 years ago
8 0

Answer:

I believe the last answer is correct

Step-by-step explanation:

Both runners are gaining money

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Solve the equation by completing the square and then solving for x. 1. x^2-6x=12<br>2. 2x^2-24x=-20
Paraphin [41]

Answer:  (x - 3)² = 21

<u>Step-by-step explanation:</u>

x² - 6x + ____ = 12 + ____

       ↓        ↑                 ↑

    \frac{-6}{2} = (-3)^{2}

x² - 6x + <u> 9 </u> = 12 + <u> 9 </u>

       (x - 3)²  =    21

*******************************************************

Answer:  (x - 6)² = 26

<u>Step-by-step explanation:</u>

2x² - 24x = -20

<u>÷2 </u>   <u> ÷2  </u>    <u> ÷2 </u>

 x² -  12x =  -10

x² - 12x + ____ = -10 + ____

       ↓        ↑                   ↑

    \frac{-12}{2} = (-6)^{2}

x² - 12x + <u> 36 </u> = -10 + <u> 36 </u>

       (x - 6)²  =    26

8 0
3 years ago
Help please! Identify an equation in point slope form for the line perpendicular to Y =-4x + 8 that passes through (-2, 7)
777dan777 [17]

Answer:

D. y-7=\frac{1}{4}(x+2)

Step-by-step explanation:

The point-slope form of a line is given by:

y-y_1=m(x-x_1)

The line given to us has equation; y=-4x+8.

The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.

Our slope of interest is therefore; m=\frac{1}{4}

Since the point goes through (-2,7), we have x_1=-2,y_1=7.

We plug in the slope and the point into the point-slope formula to obain;

y-7=\frac{1}{4}(x--2)

The required equation is:

y-7=\frac{1}{4}(x+2)

3 0
2 years ago
For the given linear function, what are the slope and y-intercept?
asambeis [7]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

I had this question not to long ago and got it right

4 0
3 years ago
after the holiday season, the average number of costumers per day at the game galaxy store decreased from 612 to 450. find the p
andrey2020 [161]
Simple, finding markdown, use these two formulas.

Markdown=Original-New
and
Percent Markdown= Markdown Amount/Original*100

So,

Markdown=612-450
M=162

Markdown%= 162/612*100
M%=0.2647*100
M%=26.5 (rounded)

Thus, there was a 26.5% decrease.
5 0
3 years ago
Which data set could be represented by the box plot shown below?
Fudgin [204]

Answer:

Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

Step-by-step explanation:

<u>Interpreting Box Plots</u>

A box plot is used to present the 5-Number summary of a set of data.

The 5-Number summary consists of the following in their order of appearance on the box plot.

  • Minimum Value
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  • Median, Q_2
  • Third Quartile, Q_3
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In the box plot, the following rules applies

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  • The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median.
  • The end whisker starts at the third quartile and ends at the maximum value.

Using these, we interpret the given box plot

A left whisker extends from 1 to 6.

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The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.

  • Median=12
  • Thrid Quartile=16

The right whisker extends from 16 to 19.

  • Maximum Value =19

Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

6 0
3 years ago
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