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Kryger [21]
3 years ago
11

Every weekday after tennis practice, Will buys either a carton of milk or a bottle

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer:

The correct options are;

The cost of milk powder is $3 per bottle

An equivalent expression for the total cost of Will's beverages during this month is 60 - m dollars

Step-by-step explanation:

The given information are;

The items Will buys every weekday after tennis practice = A carton of milk or a bottle of powder drink

The number of milk purchased during the month = m

Will's total cost for beverages in dollars last month = 2·m + 3·(20 - m)

1) Therefore, given that the total amount is factored in dollars, we have;

2·m and 3·(20 - m) are dollar amounts, while, m is a quantity;

Therefore;

Where;

2·m = The total cost of the cartons of milk, then the factor 2 represents $2.00 which is the cost per carton of milk

Similarly, 3·(20 - m) can be said to represent the total cost of the powder drink then the factor 3 represents $3.00 which is the cost per powder drink and the factor (20 - m), represents the number of powder drink Will buys for the month

From which we found the cost of milk powder = $3.00 per bottle

2) The expression, 2·m + 3·(20 - m) simplifies to 2·m + 60 - 3·m, which gives;

2·m + 60 - 3·m = 60 - m which is an equivalent expression for the total cost of Will's beverages for the month.

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3 years ago
2x-5y+5z=-10<br> 5x-4y+3z=-19<br> X-y+5z=17
yarga [219]

Answer:

x = -125/71 , y = 448/71 , z = 356/71

Step-by-step explanation:

Solve the following system:

{2 x - 5 y + 5 z = -10 | (equation 1)

5 x - 4 y + 3 z = -19 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Swap equation 1 with equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

2 x - 5 y + 5 z = -10 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Subtract 2/5 × (equation 1) from equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - (17 y)/5 + (19 z)/5 = (-12)/5 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Multiply equation 2 by 5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Subtract 1/5 × (equation 1) from equation 3:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x - y/5 + (22 z)/5 = 104/5 | (equation 3)

Multiply equation 3 by 5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x - y + 22 z = 104 | (equation 3)

Subtract 1/17 × (equation 2) from equation 3:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+(355 z)/17 = 1780/17 | (equation 3)

Multiply equation 3 by 17/5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+71 z = 356 | (equation 3)

Divide equation 3 by 71:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Subtract 19 × (equation 3) from equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y+0 z = (-7616)/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Divide equation 2 by -17:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Add 4 × (equation 2) to equation 1:

{5 x + 0 y+3 z = 443/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{5 x+0 y+0 z = (-625)/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Divide equation 1 by 5:

{x+0 y+0 z = (-125)/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Collect results:

Answer: {x = -125/71 , y = 448/71 , z = 356/71

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3 years ago
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kati45 [8]

Answer:

16.01%

Step-by-step explanation:

45-28.99 is 16.01, so it's 16.01%.

4 0
3 years ago
A = {1, 3, 5, 7, 9}
lutik1710 [3]

The upside down U means the numbers the sets have in common.

Do what is in parenthesis first:

(B ∩ C) = 6 is the only common number in set B and Set C.

A ∩ (B ∩ C) = Would be all the numbers in A plus the number 6 from (B ∩ C).

The answer would be A) {1, 3, 5, 6, 7, 9}

8 0
3 years ago
Read 2 more answers
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