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QveST [7]
3 years ago
7

Michelle drove a total of 57.8 kilometers on saturday. she drove 23.5 kilometers from her house to the park. her next stop was t

he library, which is 18.3 kilometers from the park. she drove 5.7 kilometers from the library to the grocery store. what is the distance from michelle's house to the grocery store.
Mathematics
1 answer:
muminat3 years ago
4 0
From the question, we can create the equation
57.8 = 23.5 + 18.3 + 5.7 + x
This equation says that the total distance traveled (57.8 km) is equal to all the distances she drove, plus the final distance back home.
Solving for x, we get that x = 10.3 km
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Manny can assemble a computer by himself in 50 minutes. Lucy does the same job in 45 minutes. How long will it take to assemble
jonny [76]
Manny can assemble a computer in 50 minutes. That means, in a minute Manny does \frac{1}{50} job.

Lucy can assemble a computer in 45 minutes. That means, in a minute Lucy does \frac{1}{45} job.

If they are working together, in a minute they will do:
\dfrac{1}{50} + \dfrac{1}{45}
= \dfrac{9}{450} + \dfrac{10}{450} \text{(equalize the denominator)}
=\dfrac{19}{450}
In a minute they will do \frac{19}{450} job

To finish the job they will do it in \frac{450}{19} minutes or about 24 minutes.
5 0
3 years ago
What is the average rate of change for this exponential function for the interval from x=2 to x=4?
mario62 [17]

The equation to calculate the average rate of change is: y/x

y = f(x2) - f(x1)x = x2 - x1

x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.

If we know this, the variables for this problem are assuming the function is 10(5.5)^x:

x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55

This means:y = 302.5  - 55 = 247.5x = 2 - 1 = 1

Remember: the equation for avg rate of change is y/x

So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)

5 0
3 years ago
Read 2 more answers
Turn 1 1/5 to improper fraction
Alex17521 [72]

Answer:

<h2><em><u>6/5</u></em></h2><h2></h2>

Explanation:

Step 1

Multiply the denominator by the whole number

5 × 1 = 5

Step 2

Add the answer from Step 1 to the numerator

5 + 1 = 6

Step 3

Write answer from Step 2 over the denominator

<h2><u>6/5</u></h2><h2><u></u></h2><h2><u>I hope this answer helps you out! Brainliest would be appreciated.</u></h2>
4 0
3 years ago
Is multiplying 10 to the power of 3 the same as multiplying by 10 factors of 3
andrew-mc [135]
No because since multiplying by 10³ is multiplying by 10 times 10 times 10 which equals 1000 and multiplying by 10 factors of 3 is multiplying by 3 times 3 times 3 times 3…….for 10 times equals 59049
7 0
3 years ago
Need help on this please this one is hard for me
pshichka [43]

9514 1404 393

Answer:

  y = -7x

Step-by-step explanation:

The line goes through the origin, so the y-intercept is b=0.

The line goes through the point (1, -7), so has a "rise" of -7 for a "run" of 1. The slope is ...

  m = rise/run = -7/1 = -7

Then the slope-intercept form equation is ...

  y = mx + b

  y = -7x

6 0
3 years ago
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