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AveGali [126]
3 years ago
5

Keisha runs 4 miles in 30 minutes. At the same rate, how many minutes would she take to run 10 miles?

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0
75 minutes will be ran
jekas [21]3 years ago
6 0

Answer:

75 minutes

Step-by-step explanation:

find how long she take to run 1 mile,

30/4=7.5 minutes

then,

find how many minutes she takes to run 10 miles,

10 * 7.5 = 75 minutes

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Keith has $20 in a savings account that earns 10% interest, compounded annually.
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A = P(1 + r)t

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Line WX is parallel to line YZ. if m
Nikitich [7]

X = 84

————————————————

5 0
3 years ago
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions. I need both answers.
Kazeer [188]

Answer:

1) x = 14°, y = 5°

2) x = 18.5°, y = 37°

Step-by-step explanation:

1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°

∠MOD = ∠MOB + ∠BOD = 90°

3x + 23° + 25° = 90°

3x = 90° - 23° - 25°

x = 42°/3

x = 14°

∠LOB = ∠LOM + ∠MOB = 90°

5y + 3x + 23° = 90°

5y = 90° - 23° - 3(14°)

y = 25°/5

y = 5°

2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°

∠EOB = ∠EOD + ∠DOB =  90°

2y + 16° = 90°

y = (90° - 16°)/2

y = 37°

∠DOF = ∠BOF + ∠DOB =  90°

4x + 16° = 90°

x = (90° - 16°)/4

x = 18.5°

4 0
3 years ago
Suppose we take the interval [−5,7] and divide it into 4 equal subintervals. Find the width Δn of each subinterval. Δn = If we n
lana66690 [7]

Answer:

x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7

Δn=3

Step-by-step explanation:

Remember, if we need to divide the interval (a,b) in n equal subinterval, then we need divide the distance (d) between the endpoints of the interval and divide it by n. Then the width Δn of each subinterval is d/n.

We have the interval [-5,7]. The distance between the endpoints of the interval is

d=7-(-5)=12.

Now, we divide d by 4 and obtain \frac{d}{4}=\frac{12}{4}=3

Then, Δn=3.

Now, to find the endpoints of each sub-interval, we add 3 from the left end of the interval.

-5=x_0\\x_0+3=-5+3=-2=x_1\\x_1+3=1=x_2\\x_2+3=4=x_3\\x_3+3=7=x_4

So,

x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7

5 0
3 years ago
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