1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flauer [41]
3 years ago
14

Use elimination to solve each system.

Mathematics
1 answer:
Cerrena [4.2K]3 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

You might be interested in
Rectangle ABCD is similar to rectangle QRST. The width of ABCD is 5 inches and the length is 8 inches. If the length of QRST is
omeli [17]
Answer: 7.5

Form your proportion. Let x be the width of QRST.

Length of ABCD      Length of QRST
-----------------------  =  ------------------------- 
Width of ABCD         Width of QRST

8/5 = 12/x

Solve for x by cross-multiplying.
(8)(x) = (12)(5)
8x = 60
x = 7.5


8 0
3 years ago
Adam has 16.45 kg of flour,and he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches o
ivolga24 [154]
0.67 kg of flour will be in each batch of scones
6 0
3 years ago
Can someone help me with this problem<br>1) n/3=2<br>2) 5t = 20
nika2105 [10]
To solve the first problem, you have to multiply both sides by 3, or 3/1.
3/1(n/3)=2(3)
3n/3=6
1n=6, or n=6.

To solve problem 2, simply divide both sides by 5.
5t/5=20/5
t=4

Hope this helps :-)
8 0
3 years ago
Read 2 more answers
In March 2007​, the U.S. unemployment rate was 4.4 percent. In August 2008​, the unemployment rate was 6.1 percent. Predict what
Luba_88 [7]

Answer:

Increased.

Step-by-step explanation:

In March 2007, the unemployment rate was 4.4 percent. In August 2008 was 6.1 percent. We need to remember that the unemployment rate equals the number of unemployed people divided by the people in the labor force.

Now, if we consider that the labor force remained constant during this period of time (according to the problem) then this would mean that the number of unemployed people actually increased during this period of 17 months.

4 0
3 years ago
Ginger is taking a cab in Washington D.C. The taxi fare includes a base charge of $3.00 as soon as you enter the cab, plus an ad
kenny6666 [7]

Answer:

she will be left with 25 dollars

Step-by-step explanation:

2.50 x 8=20

20+3+2=25

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following are true statements about any regular polygon? Check all that apply. A. It is a quadrilateral. B. All of
    13·2 answers
  • The formula p=8n-30 gives the profit p when a number of items n are each sold at $8 and expenses totaling $30 are subtracted.
    7·1 answer
  • Approximate √60 to the nearest tenth with step by step directions please! And thanks!
    6·1 answer
  • 2. the height of one solid limestone square pyramid is 24 m. a similar solid limestone square pyramid has a height of 30 m. the
    11·1 answer
  • Which equation is not equivalent to W=1500 - 150t
    6·2 answers
  • There are a total number of 38 possible equally likely outcomes on a roulette wheel. Out of the 38 outcomes, there are 18
    15·2 answers
  • What is the exact area of a circle whose radius is 9 yd? Enter your answer in the box. Express your answer in terms of
    11·2 answers
  • Answer number 4,6,7,8
    15·1 answer
  • The table below shows the length of a blue catfish as it relates to its weight. About how long will a blue catfish be if it weig
    9·1 answer
  • How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6. 2%? Round to the nearest whole numbe
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!