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docker41 [41]
3 years ago
12

Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practice

s? Solve using unit rates.
Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Answer:

63 miles

Step-by-step explanation:

Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practices?

2 track practices = 18 miles

7 track practices = y miles

Cross Multiply

2 track practices × y miles = 18 miles × 7 track practices

y miles = 18 miles × 7 track practices/ 2 track practices

y miles = 63 miles.

Therefore, Bonnie will have run 63 miles after 7 track practices

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Find the area of figure ABCDE if angles A, B, and C are right triangle
Levart [38]

Answer:

<em>85 ft</em><em>.</em>

Step-by-step explanation:

8*10=80 (the value of the the rectangle by itself)

then we take the values we are given and find the width and height of the triangle. Knowing it is a right triangle, we perform two equations,

15-10 (the total length of the polygon) 5 ft

and

8-6 (to find the height of the triangle, using the length where the hypotenuse of the triangle cuts off the rectangle) 2 ft

With this, we now have the length and width of the right triangle, and multiply them together to get 10. Because that formula only works on rectangles and squares, but we know that the triangle is a right triangle, we divide the 10 in half to get 5, which is the area of the triangle. Together, the value of the area for the rectangle and the triangle together result in 85 ft (remember to label units when in a written test!)

6 0
3 years ago
Doug bought a pair of sneakers for $47.82 and a shirt for $13.36 if Doug had $100 before his purchase about how much money does
Elis [28]
Total amount of shirt and sneakers: $61.18

Amount leftover: $38.82
6 0
3 years ago
Read 2 more answers
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x+y = 3, x = 4
Ad libitum [116K]
The intersection between the curves are
3, 0
0, 3
The volume of the solids is obtained by
V = ∫ π [ (4 - (y-1)²)² - (3 - y)²] dy with limits from 0 to 3
The volume is
V = 108π/5 or 67.86
4 0
3 years ago
One number is eight more than twice another. If their difference is 25, what is the larger number?
Vladimir79 [104]
You can set up an system of equations
x=2y+8
x-y=25

Substitute x in to the second equation
2y+8-y=25
y+8=25
y=17

Substitute the y back in to the first equation.
x=2(17)+8=42
7 0
3 years ago
A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard
4vir4ik [10]

The company has to study 199 machines.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is given that;

Margin of error E = 0.7

Confidence interval 98% = 1-0.98 = 0.02

Standard deviation = 6 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*6)/0.7]²

= 14.1²

= 198.81 is approximately equal to 199

The company has to study 199 machines.

To know more about standard deviation visit: brainly.com/question/475676

8 0
2 years ago
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