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Marizza181 [45]
3 years ago
5

Which linear equation represents a line with a slope of -7 and a y-intercept of 12

Mathematics
1 answer:
notka56 [123]3 years ago
4 0

Answer:

<u>Answer</u><u> </u><u>→</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>7</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>2</u>

Step-by-step explanation:

General equation of a line:

\hookrightarrow \: { \tt{y = mx + c}} \\

  • m is the slope
  • c is the y intercept

From the question;

m is -7

c is 12

{ \tt{y =  - 7x + 12}}

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soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280
erma4kov [3.2K]
Let the weight of soymeal be s, and let the weight of cornmeal be c.
You need a total of 280 lb, so that gives us one equation.

s + c = 280

Now we use the protein to write another equation.
The protein in s lb of soymeal is 0.14s.
The protein in c lb of cornmeal is 0.07c.
The protein in 280 lb of 0.09% protein mix is 0.09(280).
This gives us a second equation.

0.14s + 0.07c = 0.09(280)

Now we solve the two equations as a system of equations.

s + c = 280
0.14s + 0.07c = 0.09(280)

Solve the first equation for s and plug in tot eh second equation.

s = 280 - c

0.14(280 - c) + 0.07c = 25.2

39.2 - 0.14c + 0.07c = 25.2

-0.07c = -14

c = 200

Now we substitute c = 200 in the first equation to find s.

s + 200 = 280

s = 80

Answer: 200 lb of soymeal and 80 lb of cornmeal
6 0
3 years ago
Help me with this question please!
Amiraneli [1.4K]

Answer:

84 in²

Step-by-step explanation:

12+9=21

21x0.5=10.5

10.5x8=84

7 0
3 years ago
(3/7 * (- 5/8)) + (1/3 * 5/6) + |- 1/2 - 1/5|
ANEK [815]

Answer:

Exact Form:

1789/2520

Decimal Form:

0.70992063

8 0
2 years ago
Provide the measure of each angle in quadrilateral RSTU​
Vikentia [17]

Answer:

R = 112, S = 64, T = 58, U = 126

Step-by-step explanation:

Quadrilateral ABCD is reflected to create quadrilateral RSTU

The angles are all the same

Since a quadrilateral equals up to 360

112+64+58=234

360-234=126

6 0
3 years ago
Mark noticed that his bus is late to school 5% of the time. He wants to design a spinner he can use to simulate the situation an
babunello [35]

The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces. Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.

A better way to do this is to use 20 slices instead. This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1. If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.

The second option is more practical but even then a spinner with 20 sections is still a lot. I think it might be better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.

5 0
3 years ago
Read 2 more answers
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