Answer:
The calories content of the pan pizza is 1110 calories and the one beef burritos calories content be 1230 calories .
Step-by-step explanation:
Let us assume that the one pan pizza calories content be x.
Let us assume that the one beef burritos calories content be y.
As given
one pan pizza and two beef burritos provide 3570 calories.
Than the equation becomes
x + 2y = 3570
Two pan pizzas and one beef burrito provide 3450 calories.
2x + y = 3450
Than the two equations are
x + 2y = 3570 and 2x + y = 3450
Multiply x + 2y = 3570 by 2 and subtracted from 2x + y = 3450 .
2x - 2x + y - 4y = 3450 - 7140
-3y = - 3690
y = 1230 calories
Put value of y in the equation x + 2y = 3570.
x + 2 × 1230 = 3570
x + 2460 = 3570
x = 3570 - 2460
x = 1110 calories
Therefore the calories content of the pan pizza is 1110 calories and the one beef burritos calories content be 1230 calories .
Answer
Find out the number of video games that Jasmine can buy with her savings .
To proof
Let us assume that the number of video games Jasmine can buy be x .
As given
Jasmine wants to use her savings of $1128 to buy video games and music CDs.
The total price of the music CDs she bought was $72. The video games cost $43 each.
Than the equation becomes
72 + 43× x = 1128
simplify
72 + 43x = 1128
43x = 1128 - 72
43x = 1056
x = 24.6 (approx)
Take
x = 24
Therefore the maximum number of video games that Jasmine can buy with her savings be 24 .
Hence proved
Answer:
5/C
Step-by-step explanation:
If you look on the Y-axis the point where the slope/line touches it is your y-intercept.
Answer:
20
Step-by-step explanation:
Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 <u>- 2y + 4y</u> = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep
