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Mashutka [201]
2 years ago
12

Question 1: What is the solution to the system of equations? ( Look at the picture) Answer part A and Part B. ( Will Mark Brainl

iest). ​

Mathematics
2 answers:
Liula [17]2 years ago
7 0

Answer:

Step-by-step explanation: Part A:

3x−6y=−12;x−2y=−8

Rewrite equations:

x−2y=−8;3x−6y=−12

Step: Solvex−2y=−8for x:

x−2y=−8

x−2y+2y=−8+2y(Add 2y to both sides)

x=2y−8

Step: Substitute2y−8forxin3x−6y=−12:

3x−6y=−12

3(2y−8)−6y=−12

−24=−12(Simplify both sides of the equation)

−24+24=−12+24(Add 24 to both sides)

0=12

Answer:

No solutions.

Part B: the lines are parallel

Sunny_sXe [5.5K]2 years ago
3 0

Answer:

x-2y= -8

Step-by-step explanation:

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The Shady Farm Milk Company can process milk at a fixed rate of 7500 gallons/hour. The company’s clients request 100,000 gallons
WINSTONCH [101]

Answer:

70000 gallons

Step-by-step explanation:

The total time between 8 a.m. to 6 p.m is 10 hours. The company starts producing at 8 am, therefore the time from 8 am to noon (that is 12 p.m) is 4 hours.

Since clients demand 100,000 gallons of milk over the course of one day, the demand of milk per hour = total demand per day/ total time per day

Demand per hour = 100000 gallons / 10 hours = 10000 gallons per hour

Since the milk is processed at a fixed rate of 7500 gallons/hour, At noon the amount of of milk produced = 7500 gallons/hour × 4 hours = 30000 gallons.

The gallons of milk are in the queue to be processed at noon = 100000 gallons - 30000 gallons = 70000 gallons

4 0
3 years ago
Line segment AB is dilated to create line segment A'B' using point Q as the center of dilation.
Mekhanik [1.2K]

The scale factor in the question given above is: 2 See the explanation below.

<h3>What is a scale factor?</h3>

In math, the scale factor is the extent or ratio by which a geometrical shape is enlarged or reduced.

<h3>What is the explanation for the above answer?</h3>

We know that:

  • The distance from point Q to point A is 1.25
  • The distance from point A to point A' is 1.25

Given the above, the distance from point Q to point A' is 2.50. This is double the distance from point Q to point A.

The scale factor is 2.

1.25 + 1.25 = 2.50

2.50 / 1.25 = 2

Learn more about scale factor at;
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7 0
2 years ago
Please include work! :)
UNO [17]

Answer:

m = 13.

Step-by-step explanation:

Recall that adding logarithmic equations, (ex: log a + log b) is the same as log (a·b). Therefore:

log 12 + log 5 = log (4m + 8)

log (12·5) = log (4m + 8)

log (60) = log (4m + 8)  **Ignore 'Log' to solve for 'm'

60 = 4m + 8  **Subtract both sides by 8

52 = 4m  **Divide both sides by 4

m = 13.

6 0
3 years ago
Grace has a segment with endpoints A(3, 2) and B(6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio. S
ELEN [110]

Answer: 2/5

Step-by-step explanation:

In the attachment

7 0
3 years ago
Read 2 more answers
Solve for m 0.6m +3=2m+0.2
DaniilM [7]
So in equations you want to do the same thing to both sides so that the equation will stay equal

when dealing with one unknown number (m) try to get them all on the same side

0.6m+3=2m+0.2
I usually like positive unknowns so
subtract 0.6m from both sides
3=1.4m+0.2
subtract 0.2 from both sides
2.8=1.4m
divide both sides by 1.4
2.8/1.4=2=x

if dividing by decimals move the decimal either round the decimals up or down then divide. or multiply them by the 10 to the same power then divide.

x=2
7 0
3 years ago
Read 2 more answers
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