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Flauer [41]
2 years ago
14

Use elimination to solve each system.

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
7 0

Answer:

$3 and $2

Step-by-step explanation:

let p represent popcorn and d drinks , then

2p + 3d = 12 → (1)

3p + 5d = 19 → (2)

multiplying (1) by 3 and (2) by - 2 and adding will eliminate p

6p + 9d = 36 → (3)

- 6p - 10d = - 38 → (4)

add (3) and (4) term by term to eliminate p

0 - d = - 2

- d = - 2 ( multiply both sides by - 1 )

d = 2

substitute d = 2 into either of the 2 equations and solve for p

substituting into (1)

2p + 3(2) = 12

2p + 6 = 12 ( subtract 6 from both sides )

2p = 6 ( divide both sides by 2 )

p = 3

Popcorn costs $3 and a drink costs $2

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which of the following words is the most appropriate to fill in the blank? a. bisectorb. linec. sloped. transversal
Serhud [2]

This construction demonstrate that the set of points equidistance from the endpoints of a line segment is the perpendicular bisector of the segment

4 0
1 year ago
Multiply: 4(−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53
8_murik_8 [283]

Answer:

The amount that came is \frac{-68}{3}

Step-by-step explanation:

The computation is shown below:

According to the question, it is mentioned that

Multiply 4 by -5\frac{2}{3}

First open the equation in a fraction it would be \frac{-17}{3}

Now multiplied the above fraction by a 4

That gives the result of \frac{-68}{3}

Hence, the amount that came is \frac{-68}{3}

We simply multiply the 4 with the given fraction

Thus the above represents the simplest form of the fraction

5 0
3 years ago
X + 5 ≤ 13 what's the answer for this question?​
wariber [46]

Answer:

Inequality Form: x ≤ 8

Interval Notation: (-∞,8]

Step-by-step explanation:

x + 5 ≤ 13

Subtract 5 on both sides...

13 - 5 = 8

You're left with x ≤ 8

Inequality Form: x ≤ 8

Interval Notation: (-∞,8]

6 0
3 years ago
Larissa is considering two summer jobs. A job at the mall pays $400 per week plus $15 for every hour of overtime. A job at the m
Rina8888 [55]
Solve using system of equations!
Let y=total amount of money and x=hours of overtime.
mall: y=400+15x
movies: y=360+20x
Solve! Set the equations equal to each other to find x.
400+15x=360+20x
40=5x
x=8
After 8 hours of overtime the movies would pay her more.
4 0
3 years ago
36% of what number is 18? SHOW YOUR WORK
Murljashka [212]
So 36% of x is 18
percent is parts out of 100
36%=36/100=0.36
'of' can be translated as muitiply
0.36 times x=18
divide both sdies by .36
x=50
the number is 50
8 0
3 years ago
Read 2 more answers
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