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Alona [7]
3 years ago
8

1) Melissa will participate in a charity walkathon. Her mother will donate $10 for Melissa's

Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

Answer:

$40

Step-by-step explanation:

we know that

The linear equation in slope intercept form i equal to

y=mx+b

where

y is the amount of her mother's donation

x is the number of miles that Melissa walks

where

m is the slope

b is the y-intercept

In this problem

The slope is

m=\$2\ per\ mile

The y-intercept is

b=\$10

substitute

y=2x+10

so

For x=15 miles

substitute

y=2(15)+10=\$40

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The total area of the polygon is 176 square feet. Find the value of x.
My name is Ann [436]

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = \frac{1}{2}(\text{Base})(\text{Height})

                                                              = \frac{1}{2}(x)(8)

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

                                 = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = \frac{48}{8}

x = 6 ft

5 0
3 years ago
Read 2 more answers
Read a system of equations to describe the situation below solve using illumination and fill in the blanks
Lana71 [14]

System of Equations

Let:

x = number of people that can be seated at a table

y = number of people that can be seated at a booth

The first plan consists of 23 tables and 10 booths and then 228 people could be seated, thus:

23x + 10y = 228

The second plan consists of 12 tables and 12 booths and that way 180 people could be seated, thus:

12x + 12y = 180

The method of elimination requires equating the coefficients of one variable and eliminating it by adding the equations.

Multiply the first equation by 12:

276x + 120y = 2736

Multiply the second equation by -23:

-276x - 276y = -4140

Add the last two equations (the variable x cancels out):

120y - 276y = 2736 - 4140

Simplifying:

-156y = -1404

Dividing by -156:

y = -1404/(-156)

y = 9

Substitute this value in the first equation:

23x + 10(9) = 228

Operate:

23x + 90 = 228

Subtract 90:

23x = 138

Divide by 23:

x = 138/23

x = 6

Every table can seat 6 people, and every booth can seat 9 people

4 0
1 year ago
map of a city uses the scale 1 cm equals 50 m. On the​ map, South Street is 25 cm long. If there is a traffic cone at the start
aivan3 [116]

Answer:

125 traffic cones

Step-by-step explanation:

In order to find the total number of meters, we can set up a proportion to find based on the ration of cm to m:

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cross-multiply: x = 25(50) or x = 1250 m

Since there is a cone every 10 m, we can divide the total number of meters by 10:

1250/10 = 125 cones

4 0
3 years ago
What is the area of the triangle?
liberstina [14]

Answer:

48

Step-by-step explanation:

A = bh/2

A= 8 x 12 / 2

A= 96 / 2

A = 48

3 0
2 years ago
I don't really get it. it would be amazing if you help and show work
eimsori [14]
Change of y / over change of x
Go over 4, up 45
B is your correct answer
Hope this helps!
7 0
4 years ago
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