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Afina-wow [57]
2 years ago
15

A student on the track team runs 45 minutes each day as a part of her training. She begins her workout by running at a constant

rate of 8 miles per hour for 푎 minutes, then slows to a constant rate of 7.5 miles per hour for 푏 minutes. Which equation describes the relationship between the distance she runs in miles, 퐷, and her running speed, in miles per hour?
Mathematics
1 answer:
jeka57 [31]2 years ago
6 0

D = RT would be the fundamental equation to answer this, which is

Distance in D

Rate is R (speed)

It is now.

We can determine the individual distances for the two legs of the whole to determine the overall distance D.

Initial Leg:

R = 8

T = a

D = 8a

8(45 – b) + 7.5b =D

What is the formula for rate and distance?

Use the formula d = st to determine speed, distance, or time. Distance is equal to speed multiplied by time. Given two known numbers, the Speed Distance Time Calculator can solve for the unknown sdt value.

Units of seconds (s), minutes (min), hours (hr), or hours, minutes, and seconds can be used to input or solve for time (hh:mm:ss). Time format shortcuts are shown below.

Use the formula d = st, or distance equals speed times time, to find the distance.

Distance Equals speed x time

Since both reflect a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t. The corresponding formula is d = rt, which denotes Rate times time are equivalent to distance.

Distance = Rate x Time

Use the speed formula, s = d/t, which states that speed is equal to distance divided by time, to solve for speed or rate.

speed equals distance/time.

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.

Time = Speed/Distance

Learn more about rate and distance brainly.com/question/1090517

#SPJ9

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Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make sals.
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The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Step-by-step explanation:

We are given the system of equations:

x+5y=21\\x+y=9

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

We need to solve the systems to find the values of x and y.

Let:

x+5y=21\,\,\,eq(1)\\x+y=9\,\,\,eq(2)

Subtract both equations:

x+5y=21\\x+y=9\\-\,\,\,-\,\,\,\,\,\,-\\------\\4y=12\\y=\frac{12}{4}\\y=3

So, value of y=3

Putting value of y in eq(2) and finding value of x:

x+y=9\\x+3=9\\x=9-3\\x=6

So, value of x=6

The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

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Answer:

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Step-by-step explanation:

{(27 \times 250)}^{ \frac{1}{3} }  =  {(27 \times 125 \times 2)}^{ \frac{1}{3} }  \\  =  {27}^{ \frac{1}{3} }  \times  {125}^{ \frac{1}{3} }  \times  {2}^{ \frac{1}{3} }  \\  =  \sqrt[ 3]{27}  \times  \sqrt[3]{125}  \times  \sqrt[3]{2}  \\  =  \sqrt[3]{ {3}^{3} }  \times  \sqrt[3]{ {5}^{3} }  \times  \sqrt[3]{2}  \\  = 3 \times 5 \times  \sqrt[3]{2}  \\  = 15 \sqrt[3]{2}

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