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elena-14-01-66 [18.8K]
3 years ago
8

It takes Carl 45 minutes to drive to work using two roads. She drives 32 mph on a small road for 1/2 hour. Then she drives 56 mp

h on a small road for 1/4 hour. How far does she travel for work?
Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

Answer:

The Total distance she travel fro work is 30 miles  .

Step-by-step explanation:

Given as :

the total time taken to cover distance = 45 minutes

Let The total distance cover = D miles

The distance cover at the speed of 32 mph = D_1 miles

The time taken to cover D_1 miles distance = \frac{1}{2} hour

Distance = Speed × Time

∴  D_1 = 32 mph  ×  \frac{1}{2} h

or, D_1 = 16 miles

Again ,

The distance cover at the speed of 56 mph = D_2 miles

The time taken to cover D_2 miles distance =  \frac{1}{4} hour

∴  D_2 = 56 mph  ×  \frac{1}{4} h

or, D_2 = 14 miles

So , The total distance she travel for work =  D_1  +  D_2

Or, The total distance she travel for work = 16 miles + 14 miles = 30 miles

Hence The Total distance she travel fro work is 30 miles  . Answer

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Answer:

Following are the calculated points to the given question:

Step-by-step explanation:

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so,  

Point \ A(-8,-3)

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Point \ B(-4,-1)

When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\

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Point \ C(0,1)

When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\

so,  

Point \ D(2,2)

When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\

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Point \ E(6,4)

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Explain why the roller coaster's potential energy is<br> greater at point 1 than at point 4.
Leno4ka [110]

The roller coasters potential energy is greater at point 1 because, it's the beginning and the energy hasn't yet been used. When it reaches point 4 the energy is low because it was just moving.

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What is the probability that a randomly drawn marble from bag is green. Given that it is not red?
tatiyna

Answer:

The probability is 0.2, or 20%.

Step-by-step explanation:

A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. If we know that the marble drawn is not red, the number of possible outcomes N is

N = (number of blue marbles) + (number of green marbles) = 25

and the number of relevant outcomes (marble being green) is n:

n = (number of green marbles) = 5

So, the probability is

P = n / N = 5 / 25 = 1 / 5 or 0.2, or 20%

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Rewrite the function by completing the square <br> f(x)=x^2-14x+63
Veseljchak [2.6K]

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
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Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² - 14x + 63

<u>Step 2: Rewrite</u>

  1. Separate:                              f(x) = (x² - 14x) + 63
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5) Solve: 2.4p + 6 = 48​
KatRina [158]

Answer:

p = 17.5

Step-by-step explanation:

This is the answer because:

1) First, we have to isolate x

2) To isolate x, first -6 from +6 and 48

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48 - 6 = 42

Equation: 2.4p = 42

3) Now we are left with 2.4p = 42

4) Next, divide 2.4 from 2.4 and 42

2.4/2.4 = 0

42/2.4 = 17.5

5) We are left with

p = 17.5

Therefore, the answer is p = 17.5

Hope this helps!

3 0
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