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k0ka [10]
3 years ago
15

Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fractio

n of the flat of paper did each teacher receive?
Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

Each = \frac{4}{15}

Step-by-step explanation:

Given

Fraction = \frac{4}{5}

Teachers = 3

Required

Determine fraction of each teacher

Each fraction is calculated by dividing total fraction by number of teachers as follows:

Each = \frac{Fraction}{Teachers}

Each = \frac{4}{5}/3

Each = \frac{4}{5} * \frac{1}{3}

Each = \frac{4}{15}

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DIA [1.3K]

Answer:

y = 2x - 3

Step-by-step explanation:

Parallel lines have the same slope

only the constant changes

y = 2x + b

To find "b"

Plug in point (3, 3)

3 = 2(3) + b

3 = 6 + b

Subtract 6 from both sides

-3 = b

The equation for the parallel line is

y = 2x - 3

3 0
2 years ago
The large piston in a hydraulic lift has an area of 2m^2. What force must be applied to the small piston with an area of .2m^2 i
Helen [10]

Answer:

147,000N

Step-by-step explanation:

A1= 2m^2

A2= 0.2m^2

F2= 14,700N

Required

F1, the applied force

Applying the formula

F1/A1= F2/A2

substute

F1/2=14700/0.2

2*14700= F1*0.2

29400= F1*0.2

F1= 29400/0.2

F1=147,000N

Hence, the applied force is 147,000N

3 0
3 years ago
David had $35 to spend at the fair. If the admission to the fair is $4.5 and the rides cost $1.50 each, what is the greatest num
sleet_krkn [62]

Answer:

20 rides

Step-by-step explanation:

35-4.5=30.5

20*1.5=30 and 30 plus 4.5 equals 34.5

5 0
3 years ago
What is the value of z in the equation 2(4z − 6 − 6) = 170 − 46? 12.5 15.5 16.5 18.5
vivado [14]
2(4z - 6 - 6) = 170 - 46

2(4z - 12) = 124    |use distributive property: a(b - c) = ab - ac

8z - 24 = 124      |add 24 to both sides

8z = 148      |divide both sides by 8

z = 18.5
4 0
3 years ago
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geniusboy [140]

Answer:

5 x - 2x + 7 - x = 2x + 7

Step-by-step explanation:

simplify

(5x - 2x - x) = 2x

2x + 7 = 2x + 7

8 0
3 years ago
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