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
Lesechka [4]
3 years ago
9

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 s

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
8 0

Answer:

B. 110

Step-by-step explanation:

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. 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. Using matrices to solve, how many calories are in 1 serving of milk?

A. 90

B. 110

C. 130

D. 180​

Answer:

Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.

Joe consumption can be represented by:

x + 2y + z = 530           (1)

Darius consumption can be represented by:

2x + y = 370                 (2)

Marian consumption can be represented by:

3y + z = 510                  (3)

The equations can be represented in matrix form as:

\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] ^{-1}\left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}0.33&0.33&-0.33\\-0.67&0.33&0.67\\2&-1&-1\end{array}\right]\left[\begin{array}{c}530\\370\\510\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}130\\110\\180\end{array}\right]

The amount of calories in one serving of milk is 110 calories

You might be interested in
Please help quickly as possible thank you! ​
tensa zangetsu [6.8K]

Multiply Q\cdot P, quantity and price,

1.2\cdot5.95=7.14.

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Question 6 (1 point)
vlada-n [284]

Answer:

Zero

Step-by-step explanation:

3x - 7 = 3x - 9 + 2

3x - 7 = 3x - 7

Add 7 on both sides

3x = 3x

Subtract 3x you get 0.

Hope this helps.

4 0
3 years ago
The record hgh temperature for Detroit, Michigan was 99° F. The record low was - 27 degrees F. What is the difference between th
dimaraw [331]

Answer:

126

Step-by-step explanation: Add 99+27 to get a total difference of 126.

6 0
2 years ago
The intersection of the two sides of an angle is called it’s?
Anna71 [15]

Answer:

Point

Step-by-step explanation:

Haha

8 0
3 years ago
How many 12 go into 144
viva [34]
144:12=12
4 0
2 years ago
Read 2 more answers
Other questions:
  • Karl records the number of city blocks from his house to each of his friends houses. which statement is supported by the data?
    5·1 answer
  • What’s x?<br> 3(x + 6) - x = 18
    14·2 answers
  • PLZ HELP!!! What is (2-(-34)+56)/4?
    5·2 answers
  • Easy question please help fast, i just want to check my answer!
    11·1 answer
  • Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2
    9·1 answer
  • Please HELP ME!!! Write an equation and solve it the answer choices are down below thank you!!!
    8·1 answer
  • The area of a rectangle increased by seven is the same as for less than twice the area of the rectangle. Right and solve an equa
    14·1 answer
  • What is the answer to this please ??
    8·2 answers
  • Captain pizza has square delivery boxes that have 85 square inch bases. What is the diameter of the largest pizza that will fit
    7·2 answers
  • Evaluate the following expression. Round your answer two decimal places. Log3(10)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!