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Naddik [55]
1 year ago
15

Harper went into a movie theater and bought 10 bags of popcorn and 6 drinks, costing a total of $79. Damian went into the same m

ovie theater and bought 3 bags of popcorn and 5 drinks, costing a total of $36.50
Mathematics
1 answer:
MakcuM [25]1 year ago
8 0

Answer:

The price of the drink is: $4

and the bag of popcorn costed $5.5

Step-by-step explanation:

Let b=the price of each bag of popcorn

Let d=the price of each drink

One bag of popcorn costs $b, so 10 bags of popcorn cost 10b. One drink costs $d, so 6 drinks cost 6d. The total cost 10b+6d equals \$79:

10b+6d=79

Likewise, if 3 bags of popcorn and 5 drinks cost $36.50, then:

3b+5d=36.50

Write System of Equations:

10b+6d=79

3b+5d=36.50

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The graph of a proportional relationship passes through (12, 16)<br> and (1, y)<br> . Find y
k0ka [10]

Answer: The value of y is \frac{4}{3}.

Explanation:

It is given that the graph of a proportional relationship passes through (12, 16)

and (1, y).

The graph of a proportional relationship means the x and y coordinates are in a proportion k. The equation of the graph is in the form of y=kx. Where k is the proportion factor.

It is given that the graph passing through (12,16).

y=kx

16=k(12)

k=\frac{16}{12}

k =\frac{4}{3}

So the equation of the line is,

y=\frac{4}{3} x

put x=1.

y=\frac{4}{3} (1)

y=\frac{4}{3}

Therefore, the value of y is \frac{4}{3}.

8 0
2 years ago
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After working satisfactorily for 6 months, Dave received a 7% raise. His original gross monthly salary was $1083.34. What is Dav
Dmitriy789 [7]

Answer:

Step-by-step explanation:

His original gross monthly salary was $1083.34. This means that the total amount that he earned that he earned in the first 6 months would be

6 × 1083.34 = $6500.4

After working satisfactorily for 6 months, Dave received a 7% raise. The amount by which it was raised would be

7/100 × 6500.4 = $455.00

His salary for the next 6 months would be

6500.4 + 455.00 = $6955.40

Dave's gross annual salary would be

6955.40 + 6500.4

= $13455.8

7 0
1 year ago
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At a skills competition, a target is being lifted into the air by a cable at a constant speed. An archer standing on the ground
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The arrow is fired with an initial upward velocity of 32ft/s
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1 year ago
If a certain number is increased by 5 one half of the result is three-fifths of the excess of 61 over the number find the number
PSYCHO15rus [73]

Answer:

= 391/11

Let say number = N

a certain number is increased by 5

= N + 5

,one-half of the result

= (N + 5)/2

Three -fifths of the excess of 61 over the number.

= (3/5)(61 - N)

Equating both

(N + 5)/2  = (3/5)(61 - N)

multiplying by 10 both sides

=> 5(N + 5) = 6(61 - N)

=> 5N + 25 = 366 - 6N

=> 11N = 391

=> N = 391/11

Step-by-step explanation:

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FYI this sounds like a personal problem

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