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Scrat [10]
3 years ago
13

If it takes Matthew an hour to get to his friends house, and two hours if he drives 25 mph slower, how far away does Matthews fr

iend live?
Mathematics
2 answers:
snow_tiger [21]3 years ago
7 0
Speed = distance/time

distance = speed * time

d = st

Let distance = d; faster speed = s; t = time

At the faster speed:

d = s * t

d = s * 1

d = s

At the slower speed:

d = st

d = (s - 25)* 2

d = 2s - 50

We now have two equations,

d = s
d = 2s - 50

We can equate the right sides

s = 2s - 50

-s = -50

s = 50

The faster speed is 50 mph.
It takes him 1 hour at the faster speed.

d = st

d = 50 mph * 1 hr

d = 50 miles

Answer: the distance is 50 miles
lbvjy [14]3 years ago
6 0
50 miles gggggggggggggggggtffgfffffgfggfff
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liberstina [14]
The answer is -6ap^3
7 0
3 years ago
Calculate the distance between the points K = (1, -1) and P=(9.-6) in the coordinate plane.
GarryVolchara [31]

Answer:

√89

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(9 - 1)² + [-6 - (-1)]²

√(8)² + (-5)²

√64 + 25

√89

6 0
3 years ago
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
Use the formula v=u+at <br>calculate v when:<br>u=10, a=3, t=2.5​
Ksenya-84 [330]

Answer:

<h2>17.5</h2>

Step-by-step explanation:

v = 10 + 3 \times 2.5 \\ v = 10 + 7.5 \\ v = 17.5

This is your answer :))

7 0
3 years ago
Read 2 more answers
Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $
nikklg [1K]

The system of linear equations represents the situation is;

x + y = 125

x + y = 1255x + 8y = 775

<h3>Simultaneous equation</h3>

Simultaneous equation is an equation in two unknown values are being solved for at the same time.

let

  • number of quick washes = x
  • number of premium washes = y

x + y = 125

5x + 8y = 775

From equation (1)

x = 125 - y

5x + 8y = 775

5(125 - y) + 8y = 775

625 - 5y + 8y = 775

- 5y + 8y = 775 - 625

3y = 150

y = 150/3

y = 50

  • Substitute y = 50 into

x + y = 125

x + 50 = 125

x = 125 - 50

x = 75

Therefore, the number of quick washes and premium washes Monica’s school band had is 75 and 50 respectively.

Learn more about simultaneous equation:

brainly.com/question/16863577

#SPJ1

3 0
1 year ago
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