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MissTica
3 years ago
14

Mrs. Butler worked on school things Monday afternoon. She spent a total of five hours on school. She graded 236 assignments and

created Tuesday's lessons. It took her one hour and twenty minutes to make the lessons. How much time did each assignment take to be graded?
Mathematics
1 answer:
marin [14]3 years ago
4 0

Answer:

1 minute and 4 seconds

Step-by-step explanation:

5 hours - 1hour 20mins = 3hours 40 mins

3 hours 40 mins = 220 minutes

236 / 220 = 1.07272... x0.6 x 100 = 64.36... seconds

1 minute and 4 seconds

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2x+1is one angle and x-7 is another. When these two angles are complementary angles what is x?
Ad libitum [116K]
Complementary angles are two angles whose measures add to a sum of 90 degrees. This can be expressed as the following formula:

A1 + A2 = 90

Substitute any known values into the equation above:

(2x + 1) + (x – 7) = 90
2x + 1 + x – 7 = 90

Combine like terms:

3x – 6 = 90

Add 6 to both sides of the equation:

3x = 96

Divide 3 from both sides of the equation:

x = 32

When (2x + 1) and (x – 7) are complementary, “x” is equal to 32.

I hope this helps!
8 0
4 years ago
How do you solve 2^5? Explain using academic vocabulary
anastassius [24]

Answer:

well if its 2*5 then its 10 because you have to count by 5's two times and you'll get 10. I hope this helps. :3

6 0
3 years ago
Alex has trained his puppy, Popper, to
velikii [3]

Answer:

4.10.99

Step-by-step explanation:

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4 0
3 years ago
Mr. Smith is flying his single-engine plane at an altitude of 2400 feet. He sees a cornfield at an angle of depression of 30º. W
Svet_ta [14]

Answer:

Height of the fighter plane =1.5km=1500 m

Speed of the fighter plane, v=720km/h=200 m/s

Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.

Muzzle velocity of the gun, u=600 m/s

Time taken by the shell to hit the plane =t

Horizontal distance travelled by the shell =u

x

t

Distance travelled by the plane =vt

The shell hits the plane. Hence, these two distances must be equal.

u

x

t=vt

u Sin θ=v

Sin θ=v/u

=200/600=1/3=0.33

θ=Sin

−1

(0.33)=19.50

In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.

H

max

=u

2

sin

2

(90−θ)/2g=600

2

/(2×10)=16km

4 0
3 years ago
Chris is using the expression 4x + 2 to represent the number of students in his gym class. There are four times as many students
vladimir2022 [97]
D: the basketballs.
Since there are 4 times as many students then basketballs, Basketballs are the variable (x) and the amount of students per basketball is 4.
 
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5 0
4 years ago
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