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insens350 [35]
3 years ago
13

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calori

es by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
A. 90
B. 110
C. 130
D. 180​
Mathematics
2 answers:
Viktor [21]3 years ago
7 0

Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda.

Maru [420]3 years ago
4 0

Answer:

the answer is B on ed2020

Step-by-step explanation:

for answer b, if you subtract 330 from 510 you get soda = 180 cal. then if you subtract 110 from 370 you get 260, and 260 divided by two (he consumed 2 juice) equals 130.

so you have soda = 180 cal and juice = 130 cal

if you plug it into joe's calorie intake you do 130 (1 serving of juice) + 180 (1 serving of soda) and + 220 (two servings of milk) you get 530 which is joe's total calorie intake in liquids, so B (110) is correct

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Step-by-step explanation:

Let

x ----> the number of tickets

y ----> the price of tickets

we have the ordered pairs

(4,63) and (6,92)

step 1

<em>Find the slope of the linear equation</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{92-63}{6-4}

m=\frac{29}{2}=\$14.5\ per\ ticket

step 2

Find the y-intercept or initial value of the linear equation

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

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we have

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substitute

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solve for b

b=63-14.5(4)

b=\$5

In this context the y-intercept is a one charge fee for the ticket service

The equation is equal to

y=14.5x+5

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