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pantera1 [17]
3 years ago
14

A group of 40 children attended a baseball game on a field trip. Each child received either a hot dog or bag of popcorn. Hot dog

s were $2.25 and popcorn was $1.75. If the total bill was $83.50, how many hotdogs and bags of popcorn were purchased?
Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0

Answer:

27 hot dogs

13 popcorns

Step-by-step explanation:

(2.25 x 27) + (1.75 x 13)

60.75 + 22.75

= 83.50

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What is the vertex of the graph of f(x) = |x – 13| + 11?
dybincka [34]

Answer:

The vertex of the graph of f(x) = |x - 13| + 11 is (13, 11).

Step-by-step explanation:

There is something called absolute value in the given function. It means two equations will result from it.

When (x -13) > 0 the resultant equation is

y = f(x) = x - 13 + 11 = x - 2 - This will be the first equation

or  

When (x - 13) < 0 the resultant equation is

y = f(x) = -(x - 13) + 11 = -x + 24 - This will be the second equation.

The intersection of these lines will give the vertex as found by solving both equations at the same time.  

y = x - 2

y = -x + 24

_________

2y = 0 + 22

y =  \frac{22}{2} = 11

Replacing the value of y for any one;

x = 11 + 2 = 13 (first one)

x = 24 - 11 = 13 (second one)

The vertex is (13, 11)

8 0
2 years ago
Read 2 more answers
What is the sum of 4.108 and 15.23
Maslowich

Use a calculator and type

4.108 +

15.23 =

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19.338



7 0
3 years ago
How do you calculate percentage or find the per cent value
katovenus [111]

Answer:

Divide the number you want to find the percentage for by the total amount of items in that group. Then, multiply that value by 100.

Step-by-step explanation:

Ex. There are 3 boys in a group of 4. What percentage of the group are boys?

\frac{3}{4} =0.75

0.75*100=75

75% of the group are boys

8 0
3 years ago
A rectangle's length is 6 units greater than its width. Write an equation expressing the rectangle's area, A, as a function of w
Dafna11 [192]
I hope this helps you



length =width +6


Area=width × length



Area=w. (w+6)
6 0
3 years ago
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vivado [14]

Answer:

12

Step-by-step explanation:

2/3 x + x = 20

2/3 x + 3/3x = 20

5/3 x = 20   ... times 3/5 both sides

x = 12

check: 2/3 x 12 + 12 = 8 + 12 = 20

8 0
3 years ago
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