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gregori [183]
3 years ago
7

A juice shop needed 360 oranges to make 40 L of fresh-squeezed juice.

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer:

Using direct proportion

40L was made from 360 oranges

1 L will have been made from (360/40) oranges = 9 oranges

60L will then be made from :     60 * 9 oranges = 540 oranges.

D.

Step-by-step explanation:

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Algebra 2 <br><br> Simplify 3+i/2-i
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3-i/2
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4 0
4 years ago
A building's basement is 12 feet below ground. If the total length of the building from basement to roof is 62 feet, what is the
Effectus [21]

Answer:

62-12=50

Step-by-step explanation:

hope that helps!

5 0
3 years ago
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale
Katarina [22]

Answer:

12 sales

Step-by-step explanation:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

4 0
3 years ago
The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the
omeli [17]
Given:

The volume of the rectangular prism is 

b^{3}+8 b^{2} +19b+12,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be (mb^{2}+nb+k)

 
2

b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)


notice that  b^{3} is the product of the largest 2 terms: mb^{2} and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)


(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12

== b^{3}+(n+3)b^{2}+(3n+4)b+12


4
now compare the coefficient with the left side:

8 b^{2}=(n+3)b^{2}

8=n+3

n=5


substituting n=5: 

the base area is b^{2}+5b+4

Answer: b^{2}+5b+4


3 0
3 years ago
Write an equation in slope intercept form of the line that passes through the point (-5, -1) with slope -3.
Neporo4naja [7]

Answer:

y= -3x-16

Step-by-step explanation:

slope intercept form is written as y=mx+b.  m is the slope, and b is the y-intercept.  -3=m

we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15.  subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).  

3 0
3 years ago
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