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Scilla [17]
3 years ago
7

Mary has 18 more points than George. George has twice as many as Carrie. Carrie has 2 fewer points than Jennifer. Jennifer has 1

0 points. How many points do each one have?
Mathematics
1 answer:
Anna007 [38]3 years ago
6 0

Answer:

Mary = 34, George = 16, Carrie = 8, Jennifer = 10

Step-by-step explanation:

Set up the system of equations from the given information.

1) m = g + 18

2) g = 2 * c

3) c = j - 2

4) j = 10

Solve each equation one by one:

Plug eq.4 into eq.3:

5) c = 10 - 2 = 8

Plug eq.5 into eq.2:

6) g = 2 * 8 = 16

Plug eq.6 into eq.1:

m = 16 + 18 = 34

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W many large
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Amuseumcharges forgeneraladmission and exhibitions. Admission and 3 exhibitionscosts $45. Admission and 5 exhibitionscosts $65.
leonid [27]

Answer:

The price of the admission is 15.

Step-by-step explanation:

From the information given, you can write the following equations:

a+3e=45 (1)

a+5e=65 (2), where:

a is the admission cost

e is the exhibition cost

First, you can solve for a in (1):

a=45-3e (3)

Second, you can replace (3) in (2):

45-3e+5e=65

45+2e=65

2e=65-45

2e=20

e=20/2

e=10

Finally, you can replace the value of e in (3):

a=45-3e

a=45-3(10)

a=45-30

a=15

According to this, the price of the admission is 15.

3 0
3 years ago
Members of the student concil are conducting a fundraiser by selling school calendars. After selling 80 calendars, they had a lo
Oksana_A [137]

Answer:

a)  y=8x-1000

b) profit=\$8

c) They'd have lost $1000 if they had sold no calendars.

Step-by-step explanation:

a) The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

In this case we know that "y" represents the profit of loss and "x" the number of calendars sold.

Then, according to the exercise, the line passes through these two points:

(80,-360) and (200,600)

Then, we can find the slope of the line with the formula m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-360-600}{80-200}=8

Now, we can substitute the slope and one of those points into y=mx+b and solve for "b":

600=8(200)+b\\\\b=-1000

Then, subtituting values, we get that the equation that describes the relation between the profit of loss and the number of calendars sold, is:

y=8x-1000

b) The slope of the line is the profit they made from selling each calendar

profit=8

c) The y-intercept is the amount they would have lost if they had sold no calendars:

b=-1000

They'd have lost $1000 if they had sold no calendars.

6 0
3 years ago
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