All categories

3 years ago

If 30 is 20 percent of a number, then the number is what percent of 30?

1 answer:

8 0

Percent means parts out of 100 so 20% means 20/100

short version, longer version below
20%=1/5
30=1/5
5/5 is 5 times of 1/5
500%=5 times
number is 500% of 30

longer explanation

30=20/100 of a number
30=2/10 of a number
30=1/5 of a number
multiply both sides by 5
150=5/5 of a number
30=1/5 of 150
100% means 1 times
200% =2 times
500%=5 times
150 is 500% of 30

You might be interested in

What is the solution to the inequality below? w+4≤ -1

maxonik [38]

Answer:

w≤ -5

Step-by-step explanation:

hello :

w+4≤ -1

w+4-4≤ -1-7

w≤ -5

3 0

3 years ago

Given the trinomial, what is the value of the coefficient B in the factored form? 2x2 + 4xy − 48y2 = 2(x + By)(x − 4y) −12 12 −6

Sonja [21]

Answer:

B is 6.

Step-by-step explanation:

We are trying to find a value for $B$ such that:

$2x^2+4xy-48y^2=2(x+By)(x-4y)$ is true for every $x,y$ .

So let's choose $x=0,y=1$ :

$2(0)^2+4(0)(1)-48(1)^2=2(0+B(1))(0-4(1))$

$2(0)+0-48=2(B)(-4)$

$0-48=-8B$

$-48=-8B$

Divide both sides by -8:

$\frac{-48}{-8}=B$

$6=B$

$B=6$

Note: I didn't want to choose y to be 0 because the value of B would disappear from the equation. So you should be able to have chosen any x and y except for y=0 to solve the equation for B.

Check:

So let's check and use foil to multiply out the right hand side.

$(x+6y)(x-4y)$

$x(x)+x(-4y)+6y(x)+6y(-4y)$

$x^2-4xy+6xy-24y^2$

$x^2+2xy-24y^2$

There was a 2 in front of that multplicapltiation:

$2(x+6y)(x-4y)$

$2(x^2+2xy-24y^2)$

$2x^2+4xy-48y^2$

This is exactly what we have on the left hand side of your given equation.

3 0

4 years ago

A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3 4

dimaraw [331]

Given :

A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3/4 pounds the first month and 11 5/8 pounds the second month.

To Find :

How much weight must be lost the third month for the goal to be achieved.

Solution :

Let, weight lose in third month is x.

So, 8 3/4 + 11 5/8 + x = 26

$\dfrac{32+3}{4}+\dfrac{88+5}{8}+x=26\\\\x = 26 - ( \dfrac{35}{4}+\dfrac{93}{8})\\\\x=5.625\ pounds$

Therefore, weight lose in third month is 5.625 pounds.

Hence, this is the required solution.

3 0

3 years ago

A pyramid has a square base. The base edge is one-half of the height of the pyramid. If the base edge is 6 units, what is the vo

Flura [38]

Answer:

144 cubic units

4 0

2 years ago

The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?

snow_tiger [21]

Answer:

Step-by-step explanation:

the answer is D, just answered it and I got it right.

5 0

3 years ago