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pentagon [3]
3 years ago
14

A dairy needs 332 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 332 gallons?
Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

249 gallons of 7% butterfat milk and 83 gallons of 3% butterfat milk

Step-by-step explanation:

If x is the gallons of 7% butterfat milk, and y is the gallons of 3% butterfat milk, then:

x + y = 332

0.07x + 0.03y = 0.06(332)

Solve the system of equations using substitution:

0.07x + 0.03(332 − x) = 0.06(332)

0.07x + 9.96 − 0.03x = 19.92

0.04x = 9.96

x = 249

y = 332 − x

y = 83

You need 249 gallons of 7% butterfat milk and 83 gallons of 3% butterfat milk.

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mariarad [96]

Answer:

The cost at both Laser Flash and Laser storm would be the same after 4 games

Step-by-step explanation:

Let the number of games be represented as x

Laser flash charges an initial fee of $16 for gear and $4 per game

For Laser flash , the Equation is:

$16 + $4 × x

y= 16 + 4x

Laser storm charges an initial fee of $20 for gear and $3 per game

$20 + $3 × x

y = 20 + 3x

Hence: Equating both costs to each other

Laser flash = Laser Storm

16 + 4x = 20 + 3x

Collect like terms

4x - 3x = 20 - 16

x = 4 games

The cost at both Laser Flash and Laser storm would be the same after 4 games

3 0
3 years ago
What is the answer to 4+(-3)*2
Tamiku [17]
=-2 here you go hope it helps
6 0
4 years ago
Consider the following table.
kobusy [5.1K]

Answer:

The function for the model that gives the pressure in atm is given as:

P = 1.000 + 0.030*D

Step-by-step explanation:

From the question, we are given the Depth with corresponding P. Our duty is to calculate the Pressure (P) in the atm given the Depth (D). From this, we know that:

1. Pressure (P) is the dependent variable, and

2. Depth (D) is the independent variable.

Hence the function is a linear relationship which is known as regression equation. This can be achieve by estimating the:

i) Slope (β), and

ii) Intercept (α).

We can obtain the slope by:

\beta = \frac{n\sum(P)\sum(D) -  \sum{PD}}{n\sum{D}^2 - (\sum{D})^2}, and

\alpha = \frac{\sum{P}}{n} - \beta \frac{\sum{D}}{n}.

Hence, the function is:

\hat{P} = α + β D

You can achieve the task through R programming. Here is the R code.

#... this code in R programming

D = c(0,33,66,99,132)

P = c(1,2,3,4,5)

mod = lm(P~D)

mod.

############################

And we obtained P = 1.000 + 0.030 D

7 0
4 years ago
Which is longer 2.16 meters or 2.061 meters?
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The longer one is 2.16.

             



7 0
4 years ago
Read 2 more answers
22. A garage sale raise $400 for a school trip. Ir 15% of the money covered point
Over [174]

Take 15% of 400, or 0.15 x 400

0.15 x 400 = 60

However, $60 is only the 15%.

Now, take away 60 from 400.

400 - 60 = 340.

So $340 went towards the trip.

7 0
3 years ago
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