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marta [7]
2 years ago
15

Please help me please

Mathematics
1 answer:
kvv77 [185]2 years ago
6 0

Answer:

a)

Step-by-step explanation:

he drives every workday of the week 10 miles for work.

that is 5 data every week. so the total miles driven for work during the week is

5×10 = 50 miles.

he can drive with a full tank 100 miles.

so, the remaining miles for the weekend are

100 - 5×10 = 50 miles

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The graph shows the quadratic function f, and the table shows the quadratic function g.
Reil [10]

Analyzing the quadratic functions, it is found that the correct option is D. The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.

<h3>How to analyze the function?</h3>

Looking at the graph, Function f has a minimum value of 1 at x = -3. Hence, the axis of symmetry is x = -3.

Function g has a minimum value of 6 at x = -3. Hence, the axis of symmetry is also x = -3.

Therefore, the functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.

Learn more about functions on:

brainly.com/question/24737967

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6 0
2 years ago
Given: 9yº Simplify the expression for y= 3. (show your work and explain your reasoning.)
Leto [7]
The answer you are looking for is 27
6 0
2 years ago
if a runner finishes the 26.2. mille race in 4 hours and 37 mins and Wilson kipping finish in 4 minutes and 43 seconds per mile
Neporo4naja [7]

Answer

a) Wilson Kipsang is 7.046 miles per hour faster than the average runner.

Solution is presented below under Explanation.

b) Wilson Kipsang is 2.24 times faster than the average runner.

c) When the average runner is at mile 6, Kipsang will be at mile 13.45.

d) Kipsang's record time = 2 hours, 3 minutes, 34.6 seconds

Explanation

To solve this, we will calculate the speed of the average runner and then the speed of Wilson Kipsang

Speed = (Distance/Time)

For the average runner

Distance = 26.2 miles

Time = 4 hours 37 mins = 4 hours + (37/60) = 4.617 hours

Speed = (Distance/Time)

Speed = (26.2/4.617)

Speed = 5.675 miles per hour

For Wilson Kipsang

Distance = 1 mile

Time = 4 minutes 43 seconds = (4/60) + (43/3600) = 0.0667 + 0.01194 = 0.0786 hour

Speed = (Distance/Time)

Speed = (1/0.0786) = 12.721 miles per hour

So, now, we are asked to find how much faster than the average runner is Wilson Kipsang

Wilson Kipsang's speed = 12.721 miles per hour

Average runner's speed = 5.675 miles per hour

Wilson Kipsang is faster than the average runner by

(12.721 - 5.676) = 7.046 miles per hour

b) We are asked to find how many times faster than the average runner Wilson Kipsang is.

Let the number of times he is faster than the average runner be x

Wilson Kipsang's speed = 12.721 miles per hour

Average runner's speed = 5.675 miles per hour

(5.675) (x) = (12.721)

Divide both sides by 5.675

x = (12.721/5.675)

x = 2.24 times

c) If the average runner is at mile 6, where would Kipsang be?

To do this, we will find the time it takes the average runner to be at mile 6, then use that time to find where Kipsang would be.

Speed = (Distance/Time)

By cross multiplying, we see that

Time = (Distance/Speed)

For the average runner

Distance = 6 miles

Speed = 5.675 miles per hour

Time = (Distance/Speed)

Time = (6/5.675) = 1.057 hours

For Wilson Kipsang,

Speed = (Distance/Time)

By cross multiplying

Distance = (Speed) (Time)

Speed = 12.721 miles per hour

Time = 1.057 hours

Distance = (Speed) (Time)

Distance = (12.721) (1.057)

Distance = 13.45 miles

d) We were told that for Kipsang

1 mile = 4 minutes 43 seconds

26.2 miles = 26.2 (4 minutes 43 seconds)

26.2 miles = 26.2 (283 seconds) = 7414.6 seconds

We can then convert this further

7414.6 seconds = 2 hours, 3 minutes, 34.6 seconds

Hope this Helps!!!

4 0
1 year ago
What is the solution of the equation 1.6m - 4.8 = -1.6m
Flauer [41]
Solve for m:
1.6 m - 4.8 = -1.6 m

Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m

1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0

1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0

Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8

4.8 - 4.8 = 0:
3.2 m = 4.8

Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2

3.2/3.2 = 1:
m = 4.8/3.2

4.8/3.2 ≈ 1.5:
Answer:  m ≈ 1.5
6 0
3 years ago
Josh works as a tutor for $9 an hour and as a waiter for $8 dollars an hour. This month, he worked a combined total of 101 hours
katovenus [111]
<h3>Answer:   9t+8(101-t)</h3>

Work Shown:

t = number of hours tutoring

101-t = number of hours working as a waiter

The expressions t and 101-t add to 101.

9t = amount earned as a tutor, at $9 an hour

8(101-t) = amount earned as a waiter, at $8 an hour

9t+8(101-t) = total amount earned from both jobs

This does not account for taxes or other fees. Optionally, you can distribute the 8 through the (101-t) terms, then combine like terms to simplify.

6 0
3 years ago
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