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TEA [102]
3 years ago
5

At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $11

45 how many adult tickets were sold that day
Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

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An electric company charges a certain rate per kilowatt-hour (kWh) of electricity used and an administrative fee of $3.50. The c
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Answer:

Variable r represents the slope of the equation.

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Given that the administrative fees that company charge is $3.50.

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We can compare the equation of a line in the slope-intercept form.

y=mx+c

We can see the y-intercept is $3.50 that is a fixed cost. And the company charged $63.25 that is the dependent variable.

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Read 2 more answers
Which equation is represented by the graph below?
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Step-by-step explanation:

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3 years ago
Prestige car rentals charge $44 per day plus 6 cents per mile to rent a mid sized vehicle. Gateway auto charges $35 per day plus
bulgar [2K]

Answer:

300 miles

Step-by-step explanation:

Let

x ----> the number of miles

y ----> the total cost for rent a car

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

<u><em>Prestige car rentals</em></u>

we have that

The slope is equal to m=\$0.06\ per\ mile

The y-intercept is b=\$44

therefore

y=0.06x+44 -----> equation A

<u><em>Gateway auto</em></u>

we have that

The slope is equal to m=\$0.09\ per\ mile

The y-intercept is b=\$35

therefore

y=0.09x+35 -----> equation B

For what number of miles both companies charge the same price>

Equate equation A and equation B

0.09x+35=0.06x+44

solve for x

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6 0
3 years ago
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