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8_murik_8 [283]
4 years ago
9

Sophia needs $47 to go on a field trip. She has saved $11.50. She earns $6.50 per hour cleaning her neighbor's garden, and she e

arns $5.25 per hour selling cakes at a store. Can Sophia go on the field trip if she works at the garden for 4 hours and at the store for 2 hours?
Mathematics
1 answer:
Likurg_2 [28]4 years ago
5 0
47 - 11.50 = $35.50 needs to be earned.

If she works 6 hours:
6.50 x 4 = 26
5.25 x 2 = 10.50

26 + 10.50 = $36.50 how much she would earn by working 6 hours.

when you add the amount of money she would earn for working 6 hours $36.50 plus the money she had already had saved up $11.50 the total amount of money she would have is $48.00

So, yes. She would be able to go on the field trip if she worked at both jobs to 6 hours.
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100 PTS PLEASE HELP!!!!
fiasKO [112]

Answer:

Part A) see the explanation

Part B) see the explanation

Step-by-step explanation:

Let

x ----> the distance from one side of the tunnel in feet:

f(x) ---> the height of a tunnel in feet

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height?

1)

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

In the context of the problem, the x-intercepts are the distances from one side of the tunnel when the height of the tunnel is equal to zero

2)

The maximum value of the graph is the vertex

The x-coordinate of the vertex represent the distance from one side of the tunnel when the height is a maximum value

The y-coordinate of the vertex represent the maximum height of the tunnel

In this problem

the vertex is (18,32)

That means

The maximum height of the tunnel is 32 feet and occurs when the distance from one side of the tunnel is 18 feet

3)

we know that

The function is increasing at the interval [0,18)

That means

As the distance from one side of tunnel increases the height of the tunnel increases too

The function is decreasing at the interval (18,36]

That means

As the distance from one side of tunnel increases the height of the tunnel decreases

Part B: What is an approximate average rate of change of the graph from x = 5 to x = 15, and what does this rate represent?

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change using the graph is equal to

\frac{f(b)-f(a)}{b-a}

In this problem we have

a=5

b=15

f(a)=f(5)=15  ----> see the attached figure

f(b)=f(15)=31  ----> see the attached figure

Substitute

\frac{31-15}{15-5}=1.6

That means

The height of the tunnel increases 1.6 feet as the distance from one side of tunnel increases 1 foot in the interval from x=5 to x=15

3 0
3 years ago
Please help me multiply this fraction c:
Blizzard [7]
I hope this helps you

4 0
4 years ago
Ge A flower bed has the shape of a rectangle 24 feet long and 9 feet wide. What is its area in square yards? Be sure to include
Nonamiya [84]

Answer:

area = 24 yd²

Step-by-step explanation:

convert the dimensions into yards using the conversion

1 yard = 3 feet

24 feet = \frac{24}{3} = 8 yards

9 feet = \frac{9}{3} = 3 yards

area = length × width = 8 × 3 = 24 yd²


5 0
3 years ago
Total surface of a hemisphere. please help i’ll give u brainliest if u help mw
stiks02 [169]

Answer:

602.9 cm²

Step-by-step explanation:

==>Given:

A hemisphere with radius of 8cm

π = 3.14

==>Required:

Total surface area of hemisphere

==>Solution:

The total surface area of the hemisphere (TSA) = Curved surface area of hemisphere (CSA)+ base area (BA)

If surface area of a sphere is given as 4πr², therefore, the area of a hemisphere would be ½ of 4πr² = 2πr²

CSA = 2πr²

Base area (BA) = area of circle = πr²

Thus, TSA = 2πr2 + πr2 = 3πr2

TSA of hemisphere = 3 × 3.14 × 8²

TSA = 3 × 3.14 × 64

TSA = 602.88

TSA of hemisphere = 602.9 cm² (approximated to 1 decimal place)

7 0
3 years ago
2. Martha ran 2 miles in 15 minutes.<br> At this rate, how many miles<br> would she run in 2 hours?
Fudgin [204]

Answer:

4 fifteen minute periods make up one hour, so she will run 8 miles in one hour. Since it’s 2 hours, you would multiply that by 2 to get 16. So, Martha ran 16 miles

Step-by-step explanation:

this is not my answer but i hope it helps :D

6 0
3 years ago
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