MATHEMATICS HIGH SCHOOL

Evaluating Variable Expressions.Evaluate each using the values given. n2-m: use m=7 and n=8 Please explain how to do this.

Answers

Answer 1
Answer: n2-m (8*2-7) Which you would multiply first then subtract. Your answer should then be 9.

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Equation of the line passing through the points 4,11 and -1,-14

Answers

Answer: y = 5x -9

Step-by-step explanation:

first grt slope:

m = rise / run

m = (11- -14) / (4 - -1)

m = (25) / (5) = 5

y - 11 = 5* (x - 4)

Y = 5x -9

From MysticAlanCheng

Sylvan withdrew 2/5 of the amount in his savings account, and spent 7/10 of that money.  What fraction of his total savings does he still have?

Answers

He has 3/5 left of his savings.

Need the answers for both #1 and #2 plz

Answers

#1: x=146 degrees
#3: x= 49 degrees

Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make salsa and tomato sauce. The graph represents the system of equations shown.A system of equations. x plus 5 y equals 21. x plus y equals 9.

The variable x represents the number of batches of salsa that can be made and y represents the number of batches of tomato sauce that can be made.

A coordinate grid showing Garden Produce with Batches of Salsa on the x axis and Batches of Tomato Sauce on the y axis and two lines. The first line passes through (0, 9) and (6, 3). The second line passes through (1, 4) and (6, 3).

Which statement is true about the graph?

Mike can make 3 batches of salsa and 6 batches of tomato sauce using all of his garden produce.
Mike can make 3 batches of salsa and 3 batches of tomato sauce using all of his garden produce.
Mike can make 6 batches of salsa and 3 batches of tomato sauce using all of his garden produce.
Mike can make 6 batches of salsa and 9 batches of tomato sauce using all of his garden produce.

Answers

Answer:

C)Mike can make 6 batches of salsa and 3 batches of tomato sauce using all of his garden produce.

Step-by-step explanation:

two cars leave an intersection at the same time, one travelling at 70km/h along one road and the other car travelling at 80km/h along the other road. After 2 hours they are 218 km apart. At what angle, to the nearest minute, do the roads meet at the intersection.

Answers

v_1=70\ km/h\nv_2=80\ km/h\nt=2h\n\nv=(s)/(t)\to s=vt\n\ns_1=70\ km/h\cdot2h=140\ km\ns_2=80\ km/h\cdot2h=160\ km\n\nlook\ at\ the\ picture


218^2=140^2+160^2-2\cdot140\cdot160\cdot cos\alpha\n\n47524=19600+25600-44800cos\alpha\n\n47524=45200-44800cos\alpha\n\n44800cos\alpha=45200-47524\n\n44800cos\alpha=-2324\ \ \ \ /:44800\n\ncos\alpha\approx-0.051875\Rightarrow\alpha\approx92^o58'

Which are equivalent expressions? Check all that are true. 12x + 24y = 12(x + 2y) 12x − 24y = 12(x − 2y) 12x − 24y = 12(x ÷ 2y) 12x ÷ 24y = 12(x ÷ 2y) 12x · 24y = 12(x · 2y)

Answers

Answer:

Step-by-step explanation:

12x + 24y = 12(x + 2y)

12x - 24y = 12(x - 2y)

12x/24y = 12(x/2y)
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