1/5 of a number is 8. What is the number?

Answers

Answer 1
Answer: 40 because 8 times 5 is 40 which makes 8 one fifth of 40 .
Answer 2
Answer: We set up a proportion: 8/?= 1/5

Cross multiply: 1*?= 8*5
⇒ ?= 8*5/1= 40

1/5 of 40 is 8.

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Hippalectryon Points U, V, and W are plotted on a number line. The coordinate of point V is –2. Points U and W are the same distance from point V.

What could be the coordinates of U and W?

A.
U = –11, W = 7

B.
U = –8, W = –6

C.
U = –6, W = 6

D.
U = 0, W = 2

Answers

Checking answer A:
distance from U to V = -2-(-11)=9
distance from U to W =7-(-2)=9  -> same distance !

checking answer B:
distance U-V : -2-(-8)=6
U-W : -2-(-6)=4 -> not the same distance

answer C :
U-V : -2-(-6)=4
U-W : 6-(-2)=8 -> not the same distance

answer D :
U-V : 0-(-2)=2
U-W : 2-(-2)=4 -> not the same distance

Conclusion : answer A
D. 0, 20 is 2 away for -22 is 4 away from -2 
C -6, 6-6 is 4 away from -26 is 8 away from -2
You have to find out which two points are the same distance from -2.

Find the new price:Wholesale price: $5
Markup percent: 125%
can you please tell me how you found it so I can work on my other questions

Answers

another way is: x/$5 =125%/100% and you get 6.25 still.

You plant a tree that is 36 inches tall. After one year, the tree is 43 inches tall. Which expression describes the percent of increase in the tree's height?

Answers

Answer: (7)/(36)* 100=19.44\% is the required expression.

Step-by-step explanation:

Since we have given that

Length of tree initially = 36 inches

Length of tree after one year = 43 inches

We need to find the percentage of increase in the tree's height.

So, expression would be

(Difference)/(Original)* 100\n\n=(43-36)/(36)* 100\n\n=(7)/(36)* 100\n\n=19.44\%

Hence, (7)/(36)* 100=19.44\% is the required expression.

The tree increased its height by 19.44%

(43 - 36) ÷ 36 = 7 ÷ 36 = 0.1944 * 100% = 19.44%

36 is the basis of the equation. It is the 100%
7 is the increase in height (inches). It is the 19.44%
43 is the total height. It is 119.44% height of the tree.

Whatever height the tree grow to, if the question is percentage since it was planted, then 36 inches is the basis.

If the problem refers to the height increase based on the latest height measurement, then 43 inches is the basis.

If the 7 inches increase in height is constant every year. Then, an equation will show:

y = 36 + 7x
where y is the total growth through the years. 36 is the initial height, 7 is the constant rate of growth, and x is the number of years the tree has grown.




Jeff drinks 2/3 of a glass of juice. write a fraction that is equivalent to 2/3

Answers

some fractions that are equivalent to 2/3 are 4/6 and 6/9
to find equivalent fractions, you just have to reduce the fraction or multiply both the top and bottom numbers by the same number to increase the fraction.
2/3 is as reduced as it can be, though.

Rewrite the equation below into standard form. -3/2x=-2/5y-10/3

Answers

Answer:

standard form is 45x -12y -100 = 0.

Step-by-step explanation:

Given the equation is -3/2x=-2/5y-10/3.

Finding common denominator, L.C.M.(2,5,3) = 30.

Multiplying both sides by 30.

30*(-3/2x) = 30*(-2/5y-10/3)

-45x = -12y -100

Moving all terms on left side, keeping right side equal to 0.

-45x +12y +100 = 0

Making x's coefficient positive by changing all signs.

45x -12y -100 = 0

Hence, standard form is 45x -12y -100 = 0.

Answer:


Step-by-step explanation:

You want to rewrite the equation

Ax +By=C A,B,C are integers


30(-3/2x) = 30(-2/5y-10/3)

-45x = -12y - 100

-45x + 12y = -100

What is the slope of the line passing through the points (–3, 4) and (2, –1)?A.




3/5


B.


–1


C.
1


D.




-5/3

Answers

to find the slope, we find that by (y₁-y₂)/(x₁-x₂) so
(4-(-1))/(-3-2)=5/-5 and dividing a negative by a positive=a negative so the slope is -1
the answer is B
Slope of the line using the two points (-3,4), (2,-1) given.
x1 = -3, y1 = 4,  x2 = 2, y2 =-1

m = (y2 - y1) / (x2 - x1). 

m = (-1 - 4)/(2 - - 3).

m = -5/ (2 + 3) = - 5/5.

m = -1
Therefore  slope, m = -1.
  So it is option B.