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Virty [35]
3 years ago
5

How many gallons each of 0.5% milk and 3% milk should a dairy farmer combine to

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

Answer:

2.8 gallons 0.5% milk

4.2 gallons 3% milk

Step-by-step explanation:

let 'x' = .5% milk

let 'y' = 3% milk

System of Equations:

x + y = 7

.005x + .03y = 7(.02)

I used the substitution method and solved the first equation for y:  y = 7 - x

.005x + .03(7 - x) = .14

.005x + 0.21 - .03x = 0.14

-0.025x + 0.21 = 0.14

-0.025x = -0.07

x = 2.8

7 - 2.8 = 4.2

y = 4.2

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Use the image below, answer the following questions. Be sure to answer all 3 questions in order.
Nastasia [14]

Answer:

a. Yes

b. VT

c. Segment RQ

Step-by-step explanation:

a. Find the slope of RS and UV

Slope = rise/run

Slope of RS = rise/run = RQ/QS

Slope of RS = 6/6

Slope of RS = 1

Slope of UV = rise/run = UT/TV

Slope of UV = 3/3

Slope of UV = 1

Thus, TS and UV have equivalent slopes

b. Slope of VT:

VT is an horizontal line.

It has no rise. But only run.

Therefore, it's rise = 0, while run = VT = 3

Slope of VT = rise/run = 0/3

Slope of VT = 0

c. Vertical lines have undefined slope.

Segment RQ is vertical line and therefore has an undefined slope.

RQ has rise but no run.

Thus:

Rise = 6

Run = 0

Slope of Segment RQ = 6/0 (this can't divide)

Therefore, slope of Segment RQ is undefined.

3 0
3 years ago
You get a 15% raise at your job and now make $13.50 per hour. What was you previous rate of pay per hour?
Anestetic [448]
<h2>We know:</h2>

You currently make $13.50 an hour. You've earned a 15% pay raise. You want to find out your previous rate of pay per hour.


<h2>Steps:</h2>

1.) Convert 15% to a decimal, which equals 0.15


2.) Multiply your current earnings with the percentage in decimal form (0.15)

$13.50 (current pay per hour) x 0.15 (percentage in decimal form) = $2.025 (difference between your previous wage and your current wage)


3.) Subtract the difference of your previous wage and current wage with your current earnings

$13.50 (current pay per hour) - $2.025 (difference between previous and current wage) = $11.475 (previous pay per hour)


4.) Since this is talking about wage, rounding is not applicable. In other cases, your number would be rounded off to $11.48, however you can't add what you don't have, so you would have to round down.


<h2>You were previously making $11.47 an hour.</h2>
7 0
3 years ago
Is the function linear, exponential or neither ? Help me please
Svetradugi [14.3K]

Hello! :)

\large\boxed{\text{Linear.}}

The function pictured is a straight line, so it has a constant slope for all x values.

A function that has the same slope on its domain and when graphed is a straight line is a linear function.

8 0
3 years ago
Michelle ordered 200 t shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total order for shipping.
kap26 [50]

Answer:

12.75 dollars

Step-by-step explanation:

5% = 2.94$

150% = 7$

2.80 + 5% + 150% = 12.75 for each t-shirt she sale

5 0
4 years ago
Nancy took 2 days to go New York .how many total hours did it take her?
Basile [38]

Answer:

48 hours

Step-by-step explanation:

there are 24 in a day.

24 x 2 = 48 hours

8 0
4 years ago
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