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Verizon [17]
3 years ago
8

Roast beef has 25g of protein and 11g of calcium per serving. A serving of mashed potatoes has 2g of calcium and 25g of calcium.

How many servings of each are needed to supply exactly 25g of protein and 61g of calcium?
Mathematics
1 answer:
Valentin [98]3 years ago
8 0

<u>Let R and M be the numbers of serving of roast beef and mashed potato.</u>

25R     +    2M      =   29   =====>  1

11R      +     25M      =     61 =====>    2

<u>From (1): 2R   =   29    -    25M</u>

or     M   =     29/2     - 25/2 R

<u>Substitute this into (2):</u>

11R      +      25(29/2     -     25/2 M)     =     61

11R      +       362.5      -       312.5R     =     61

301.5      =       301.5R

R      =        1

Using    R     =     1, we can get

11(1)      +     25M     =      61

25M       =      50

M         =           2

<u>Therefore, you will need ONE SERVING  of Roast Beef and TWO SERVINGS of Mash Potatoes.</u>




Hope that helps!!!!                                                : )


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8 0
3 years ago
In Δ A B C, the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is 8 mo
AlladinOne [14]

Answer:

52degrees

Step-by-step explanation:

Let the measure of the largest angle be x

middle angle be y

smallest angle be z

Since the sum of angle in a triangle is 180 degrees, hence;

x + y + z = 180 .... 1

If the measure of the largest angle is 32 less than 3 times the smallest angle, then;

x = 3z - 32

3z = x+ 32

z = x+32/3 ..... 2

If he measure of the middle angle is 8 more than half the measure of the largest angle, then;

y = x/2 + 8 .... 3

Substitute 2 and 3 into 1;

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multiply through by 6

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Since y = x/2 + 8

y = 88/2 + 8

y = 44 + 8

y = 52 degrees

Hence the measure of the middle angle is 52degrees

5 0
3 years ago
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