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Ivanshal [37]
3 years ago
5

Tracy is at school for 7 1/4 hours each day. One day the school lets out early. She is at school for 3 1/4 hours that day. How m

uch longer is a regular school day?
Mathematics
1 answer:
Leviafan [203]3 years ago
4 0
4 hours longer
questioning how that was even a need to ask question 
it is simple subtraction


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Use the number line to show and explain why 4/10 ÷ 2 and 4/10 × 1/2 both equal 2/10
Vesna [10]

Step-by-step explanation:

When you divide by a number, you basically are multiplying by the reciprocal

The reciprocal of 2 is 1/2

4/10 ÷ 2 = 4/10 × 1/2 = 2/10

4/10 × 1/2 = 2/10

Using a number line,

Start at 4/10 and move down by 2 until you reach 0

Start at 4/10 and move up by 1/2 from 0 until you reach 4/10

(Count the number of humps)

Both will be the same

4 0
3 years ago
Omg pls help ill give you 20 points
ElenaW [278]

Answer:

Step-by-step explanation:

Amount of water in tank 1 = amount of water in tank 2

30t +25  = -20t + 1000

Add 20t to both sides

30t + 20t + 25 = -20t + 20t + 1000

50t + 25 = 1000

Subtract 25 from both sides

50t + 25 - 25 = 1000 - 25

50t = 975

Divide both sides by 50

t = 975/50 = 39/2

  = 19 \frac{1}2}

t = 19 minutes 30 seconds

After 19 1/2 minutes both tanks will have 610 liters of water

5 0
2 years ago
The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.
Svetllana [295]

Answer:

Step-by-step explanation:

Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall. (correct)

The median height of the students in Mrs. Hill's class is 152 centimeters. (correct)

The interquartile range of this data set is 15 centimeters.  (incorrect, 154-147=17 cm)

The mean height of the students in Mrs. Hill's class is 152.5 centimeters.  (we don't get to know the mean height from the graph).

6 0
3 years ago
Read 2 more answers
8n + 12 - 5n = 21<br> n=?
insens350 [35]

Answer:

n=3

Step-by-step explanation:

Simplifying

8n + 12 + -5n = 21

Reorder the terms:

12 + 8n + -5n = 21

Combine like terms: 8n + -5n = 3n

12 + 3n = 21

Solving

12 + 3n = 21

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 3n = 21 + -12

Combine like terms: 12 + -12 = 0

0 + 3n = 21 + -12

3n = 21 + -12

Combine like terms: 21 + -12 = 9

3n = 9

Divide each side by '3'.

n = 3

Simplifying

n = 3

5 0
3 years ago
Read 2 more answers
If
arlik [135]

Given:

In a right angle triangle θ is an acute angle and \tan\theta =\dfrac{3}{5}.

To find:

The value of \cos \theta.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

We have,

\tan\theta =\dfrac{3}{5}

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

Hypotenuse=\sqrt{Perpendicular^2+base^2}

Hypotenuse=\sqrt{(3x)^2+(5x)^2}

Hypotenuse=\sqrt{9x^2+25x^2}

Hypotenuse=\sqrt{34x^2}

Hypotenuse=x\sqrt{34}

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

\cos \theta=\dfrac{5x}{x\sqrt{34}}

\cos \theta=\dfrac{5}{\sqrt{34}}

Therefore, the value of \cos \theta is \dfrac{5}{\sqrt{34}}.

8 0
2 years ago
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