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umka2103 [35]
3 years ago
14

Find the equation to the line below .

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

Answer:

y = 4x + 1

Step-by-step explanation:

y = mx + b

The line goes thru (0, 1) and (1, 5)

The slope = m = (5 - 1)/ 1 - 0) = 4/1 = 4

The y-intercept is (0, 1), so b = 1

y = 4x + 1 is the equation of the line

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A student has determined correctly that a system of two linear equations has no solution. Based on this, it can be concluded tha
viva [34]

Answer:

The lines are parallel

Step-by-step explanation:

If they have no solution that means that they never intersect which akes them parallel

6 0
3 years ago
Bill and Mischa share their profit in a ratio of 9:5
Yuliya22 [10]

Answer:

£252

Step-by-step explanation:

The ratio of their profit is 9 ; 5 = 9x : 5x ( x is a multiplier )

Bill gets £72 more than Mischa , then

9x = 5x + 72 ( subtract 5x from both sides )

4x = 72 ( divide both sides by 4 )

x = 18

Total received = 9x + 5x = 14x = 14(18) = £252

4 0
3 years ago
A school is taking a field trip with 195 students and 10 adults. Each bus can hold at most 40 students. We need to determine the
Alex777 [14]

Answer:

40n>195+10

n>5.125

Step-by-step explanation:

The equality must satisfy the following:

A total of 195 students and 10 adults with 40 students per bus at most.

If the students it can take is at most 40, we must consider the adults as well. This maximum excludes the adults so therefore the actual amount of students must be less the 40 to allow adults on the bus as well.

40n>195+10

We can solve for n:

40n>205

n>5.125

The number of buses need for this trip must great than 5.

8 0
3 years ago
Jillian is making accessories for the soccer team. She uses 677.46 inches of fabric on headbands for 38 players and 4 coaches. S
hodyreva [135]

The amount of fabric used to make the headband is 16.13 inches. The amount of fabric used to make the wristband is 9.64 inches.

In order to determine the amount of fabric used to make the accessories, the total inches used would be divided by the total number of people the accessory was made for.

The amount of fabric used to make headband for a player = total quantity of fabrics used / total number of people

677.46 / (38 + 4)

677.46 / 42

= 16.13 inches

The amount of fabric used to make wristband for a player = total quantity of fabrics used / total number of players

366.32 / 38 = 9.64 inches

To learn more about division, please check: brainly.com/question/194007

3 0
3 years ago
Two planes left the same airport traveling in opposite directions. The first plane left at 9:00 a.M. And 2.25 hours later, the t
gulaghasi [49]

Answer: x = 560 miles/hr

Step-by-step explanation:

Let speed of first plane = x

Let speed of second plane = y

x-y =108 (first plane is faster)

It took first plane 2.25 hrs to be 1825 miles apart.

Distance moved after 2.25 hrs =2.25x

It took second plane 1.25 hrs to be 1825 miles apart

Distance moved after 1.25 hrs =1.25y

So 2.25x + 1.25y = 1825 --------1

Put x = 108+y in eqn 1

2.25(108+y) + 1.25y= 1825

243 + 3.5y = 1825

3.5y= 1582

y = 452

x = 108 + 452 = 560 miles/hr

4 0
3 years ago
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