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frozen [14]
3 years ago
12

Karen trains to participate in a race that is a combination of biking and running her average speeds during training can be used

to predict her average speed during actual race Karen's total distance and times for 3 weeks of training are shown in the table below biking distance miles 75, time minutes 300.
Running 30 Miles running 240 minutes Karen predicts that she will spend 48 minutes biking and 24 minutes running and what is the total distance of the race
Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0
The total distance is 15 miles.

Biking 75 miles in 300 minutes gives us the ratio 75/300 = 1/4, or 1 mile per 4 minutes.

Running 30 miles in 240 minutes gives us the ratio 30/240 = 1/8, or 1 mile per 8 minutes.

If she bikes 48 minutes, 48(1/4) = 48/4 = 12 miles.
If she runs 24 minutes, 24(1/8) = 24/8 = 3 miles.

This is a total distance of 12+3= 15 miles.
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The length of a rectangle is two more than triple the width if the perimeter is 148inches find the dimensions
gayaneshka [121]

Answer:

width = 18 inches

length = 56 inches

Step-by-step explanation:

Let x = width

Let y = length

<u>Equation 1</u>

If length of the rectangle is 2 more than triple the width, then:

⇒ y = 3x + 2

<u>Equation 2</u>

Perimeter of a rectangle = 2(width + length)

If the perimeter is 148 inches, then:

⇒ 148 = 2(x + y)

<u>Solve by substitution</u>

Substitute Equation 1 into Equation 2 and <u>solve for x</u>:

⇒ 148 = 2(x + 3x + 2)

⇒ 148 = 2(4x + 2)

⇒ 148 = 2 · 4x + 2 · 2

⇒ 148 = 8x + 4

⇒ 148 - 4 = 8x + 4 - 4

⇒ 8x = 144

⇒ 8x ÷ 8 = 144 ÷ 8

⇒ x = 18

Substitute found value of x into Equation 1 and <u>solve for y</u>:

⇒ y = 3(18) + 2

⇒ y = 54 + 2

⇒ y = 56

<u>Conclusion</u>

The dimensions of the rectangle are:

  • width = 18 inches
  • length = 56 inches
5 0
2 years ago
Please help!!!!!!!!!
Readme [11.4K]

Answer:

that would be 1

Step-by-step explanation:

in this equation x=74 and 74/74 equals one

6 0
2 years ago
A function is represented by the graph. Complete the statement by selecting from the drop-down menu. The y-intercept of the func
Liono4ka [1.6K]

Answer:

the y intercept is 2 in both cases

Step-by-step explanation:

the y intercept is where it crosses the y axis

y intercept =2

the function y = 3x+2 is in the form y= mx+b

where b is the y intercept

b=2  so the y intercept is 2

2=2 so the y intercepts are equal

5 0
3 years ago
1.      Solve for s.<br><br>Rs + t = u
STatiana [176]
I think this is what you have to do.
Rs+t=u
first you have to subtract t:
Rs=u-t
Now divide by R:
s= u-t/r
Hope this helped!
4 0
3 years ago
I am a type a person who likes d cups will do anything to touch a d cup doesn't care what other people say about me and only lik
faust18 [17]

Answer: mmm I don’t even understand what you trying to say but this doesn’t look like a question to me, is this even a question just saying

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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