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garri49 [273]
3 years ago
8

if 4 bottles of juice were shared equally among 14 students, what fraction of the juice did each student drink

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0
3 1/2. 14 ÷ 4 = 3.5. Now you know how much was divided between them in decimal form. To convert 3.5 to a fraction, put down 3 as the whole number and .5 as 5/10 because this decimal is read as "three and five hundredths." 3 5/10 is not in lowest terms, so you would divide both the numerator and the denominator by 5. 5 ÷ 5 = 1; 10 ÷ 5 = 2: 3 1/2 is your answer. Hope this helped!!! :)
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The solution set for 5v2 – 125 = 0 is
WARRIOR [948]

Answer:

v = ± 5

Step-by-step explanation:

given 5v² - 125 = 0 ( add 125 to both sides )

5v² = 125 ( divide both sides by 5 )

v² = 25 ( take the square root of both sides )

v = ± \sqrt{25} = ± 5


6 0
4 years ago
Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to scho
Fed [463]
First we have to answers stand that speed is equivalent to the distance traveled in a certain time span. That is speed = distance/time. Conversely, time = distance/speed. We are asked to find the speed going home given, distance, total time and speed going to school. We can answer this equation by adding the time Aidan is spending going and coming back from school 

t = (distance to school)/(speed to school) + (distance to home)/(speed to home)

1hour = (16)/(40) + (16)/(speed to home) 

Speed to home = 26.67miles/hour 
6 0
4 years ago
Find the unknown side:<br> V<br> u<br> 2.5<br> 85<br> 26
tia_tia [17]

Answer:

u ≈ 5.7

Step-by-step explanation:

Using the Sine rule in Δ TUV, that is

\frac{t}{sinT} = \frac{u}{sinU} , substitute values

\frac{2.5}{sin26} = \frac{u}{sin85} ( cross- multiply )

u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )

u = \frac{2.5sin85}{sin26} ≈ 5.7 ( to 1 dec. place )

5 0
3 years ago
You are making lemonade for your lemonade stand. Each liter of lemonade you make uses 3.5 tablespoons of lemonade powder, and yo
Cloud [144]
You can only make 4 liters of lemonade. So that means no.
8 0
3 years ago
Read 2 more answers
Jimmy's backyard is rectangle that is 18 5/6 yards long and 10 2/5 yards wide Jim buy sod in pieces that are 1 1/3 yard long and
g100num [7]

Answer:

111 pieces of soda

Step-by-step explanation:

step 1

Find the area of the rectangular backyard

The area of the rectangular backyard is equal to

A=LW

where

L=18\frac{5}{6}\ yd=\frac{18*6+5}{6}=\frac{113}{6}\ yd

W=10\frac{2}{5}\ yd=\frac{10*5+2}{5}=\frac{52}{5}\ yd

substitute

A=(\frac{113}{6})(\frac{52}{5})

A=\frac{5,876}{30}\ yd^2

step 2

Find the area of one piece of sod

The area of the rectangular piece of sod is

A=LW

where

L=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd

W=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd

substitute

A=(\frac{4}{3})^2\\\\A=\frac{16}{9}\ yd^2

step 3

Find the pieces of sod needed

To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda

so

\frac{5,876}{30} : \frac{16}{9}=\frac{52,884}{480}=110.175

Round up

111 pieces of soda

8 0
3 years ago
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