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Serjik [45]
2 years ago
8

A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk contai

ning 3% butterfat must be used to obtain the desired 364 gallons?
Mathematics
1 answer:
MaRussiya [10]2 years ago
5 0

Answer:

Step-by-step explanation:

Let x be gallons of 7%

Let y be gallons of 3%

364 = x + y

y = 364 - x

364(0.06) = x(0.07) + y(0.03)

364(6) = x(7) + y(3)

364(6) = 7x + 3y

364(6) = 7x + 3(364 - x)

364(6 - 3) = 7x - 3x

364(3) = 4x

x = 273

y = 364 - 273 = 91

273 gallons of 7%

91    gallons of 3%

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Solve the problem. Make sure your answer is in simplest form. 3/16 x 4/21 = ?
Irina18 [472]

Answer:

\frac{1}{28}

Step-by-step explanation:

The result is given by means of some algebraic handling:

\frac{3}{16}\times \frac{4}{21}

\frac{12}{336} - Multiplication of rationals.

\frac{6}{168} - Dividing each term by 2.

\frac{3}{84} - Dividing each term by 2.

\frac{1}{28} - Dividing each term by 3.

8 0
3 years ago
~PLEASE HELP ASAP OFFERING 10 POINTS~
Marina CMI [18]
T = c + cb
t - c = cb
(t - c)/c = b
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6 0
3 years ago
Use the given scale factor in the side length of the scale drawing to determine the side links of the real object
ozzi

Answer:

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

Step-by-step explanation:

Here is the complete question. Please find attached a diagram showing the scaled and real drawing

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long

C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long

D. side a is 175 inches long,side b is 150 inches long, and side c is inches long

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

The scaled drawing is an enlarged image of the original triangle.

It is enlarged at a ratio of 5:1

original dimensions

a = 35/5 = 7

b = 30 / 5 = 6

c = 15/5 = 3

7 0
2 years ago
Write a verbal problem that involves subtracting 4 liters.
Alona [7]
A kiddy pool going over it’s limit so you have to subtract 4 liters to get to the safe level bar.
8 0
3 years ago
I need help please!!!
const2013 [10]

Part 1

<h3>Answer:   13</h3>

---------------------

Explanation:

We'll replace every copy of x with -3. Then use PEMDAS to simplify.

f(x) = -2x+7

f(-3) = -2(-3)+7

f(-3) = 6+7

f(-3) = 13

===========================================================

Part 2

<h3>Answer:  -11</h3>

---------------------

Explanation:

We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).

We'll replace f(x) with 29 and solve for x like so

f(x) = -2x+7

29 = -2x+7

-2x+7 = 29

-2x = 29-7

-2x = 22

x = 22/(-2)

x = -11

Note how if you replaced x with -11, we'd get,

f(x) = -2x+7

f(-11) = -2(-11)+7

f(-11) = 22+7

f(-11) = 29

which helps confirm we have the correct answer.

8 0
3 years ago
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