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Effectus [21]
3 years ago
6

A distrubutor shipped 3/4 of a cheese order that was to be distributed equally between 3 pizza restaurants. What fractional part

of the original order will each restaurant receive?
Mathematics
1 answer:
romanna [79]3 years ago
5 0
Let's say there are 12 boxes of cheese in the original order. Draw a table with 4 rows and 3 columns. Shade exactly 3 of the rows (the entire row). So you should shade in 9 boxes total with 3 left unshaded.

Those 9 shaded boxes are then distributed equally among the 3 restaurants. So each restaurant gets 9/3 = 3 boxes

Comparing those 3 boxes to the original 12 forms the fraction: 3/12 = 1/4

So each restaurant gets 1/4 of the original order

Answer: 1/4

Note: another way to do this is to multiply 1/3 by 3/4 to get 1/4
You might be interested in
A marine biologist monitors the population of sunfish in a small lake. He records 800 sunfish in his first year, 600 sunfish in
Colt1911 [192]

Answer:

Let's use the variable y to represent the number of years passed since the first year.

The population on the first year (y = 0) was 800

The population in the second year (y = 1) was 600.

The ratio in which the population decreased can be calculated as:

R = 600/800 = 0.75

This means that 600 is the 75% of 800, this also means that between the first year and the second year, the population decreased by the 25%

Now let's look at the ratio between the second and third year (y = 2), the population the third year was 450

Now the ratio is:

R = 450/600 = 0.75

Same as before, then we already can see that the population will decrease by 25% each year.

The generic exponential decay equation is:

f(y) = A*(1  - r)^y

where:

A = initial population, in this case, is 800

y = our variable, in this case, represents the number of years

r = the amount that decreases per each unit of our variable, this must be written in decimal form. In this case, we know that the population decreases by 25% each year, and 25% written in decimal form is 0.25

Also, (1 - r) = R, where R is the ratio we found earlier.

To do this, we just divide 25% by 100% to get (25%/100% = 0.25)

Then our equation will be:

f(y) = 800*(1 - 0.25)^y

f(y) = 800*( 0.75)^y

1) We want to predict when the population will be 200.

to do this, we set:

f(y) = 200 = 800*( 0.75)^y

and solve it for y.

(200/800) = 0.75^y

(1/4) = 0.75^y

Now we can use the relationship:

Ln(a^x) = x*ln(a)

Then let's apply Ln( ) in both sides to get

ln(1/4) = y*ln(0.75)

ln(1/4)/ln(0.75) = y = 4.8 years.

This means that 4.8 years after the first year, the population will be around 200.

2) The population in the 25 th year (this is 24 years after the first one, so we take y = 24) is:

f(24) = 800*(0.75)^(24) = 0.80

Around this point, we will have no more sunfish in the lake.

7 0
3 years ago
Surface area of a triangular prism
jok3333 [9.3K]

Answer:

54ft squared

Step-by-step explanation:

All faces:

Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared

Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared

Bottom: 3*10/2= 30/2= 15ft squared

=54 ft squared

8 0
2 years ago
The coldest temperature recorded in Alaska was –80°F. This was 10°F warmer than the coldest temperature recorded in Siberia. Whi
Klio2033 [76]

The equation that can be used to find the coldest temperature recorded in Siberia is y + 10  =  -80

Let the coldest temperature in Alaska be x

The coldest temperature recorded in Alaska was –80°F

x  =  –80°F

Let the coldest temperature in Siberia be y

The coldest temperature recorded in Alaska was 10°F warmer than the coldest temperature recorded in Siberia

This can be interpreted as:

Coldest temperature in Alaska  =  Coldest temperature in Siberia  +  10

x    =  y   +   10................(*)

Since x = -80

Substitute x = -80 into equation (*)

-80   =   y    +   10

This can be re-written as:

y  +  10   =   -80

The equation that can be used to find the coldest temperature recorded in Siberia is y + 10  =  -80

Learn more here: brainly.com/question/2159099

7 0
2 years ago
X = 2y + 3<br> X = 3y -4
iren2701 [21]

Answer: Let F(x, y, z) = x 2y 3 i+x 3y 2 j+ 2zk and C the curve parameterized by x(t) = cost, y(t) = sin t, and z(t) = t 2π

Step-by-step explanation:

8 0
3 years ago
20 points<br> For the function f defined by f(x)=3x2−2x+5 find f(−x),−f(x) , and −f(−x).
vekshin1
F (x) -f(x) add the negative on the outside of the F
3 0
3 years ago
Read 2 more answers
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