40% of what number is 30?

Answers

Answer 1

Answer: 30 = 40% * x

30 = 40/100 * x

30 = 4/10 * x

30 = 2/5 * x

x = 30 * 5/2

x = 15 * 5

x = 75

40% of 75 is 30

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What is 70% of 210. Explain

Answers

$Percent\ means\ out\ of\ 100 \n (70)/(100)*210 \n \n ((10)7)/((10)10)*210 \n \n (7)/(10)*210 \n \n 7*21 \n \n \boxed {147}$

you can set it up as a proportion
is (part) %
------- ------
of( whole) percent
you fill in the spots so it looks like this. 70% is the percent, and the 210 as the of before it, so by default, the "is" becomes x.
x 70
------ ------
210 100
then you cross multiply, so 100 times x is 100x and 210 times 70 is 14700.
so, 100x=14700
then you have to get x by itself, to cancel out x you do the opposite of the opperation which in this case means to divide, so 100x/100 is x. but what you do to one side, you have to do to another, so 14700/100=147

so X=147, or 147 is 70% of 210
you can also check your answer by multiplying the "of" you get by the percent, and you should get the "is".

A jar holds 15 red pencils and 10 blue pencils. What is the probability of drawing one red pencil from the jar?

Answers

The probability is 5 I believe

the answer is 15 out of 25 I just went over this lesson today

Liza bought 5/8 pound of trail mix. She gives 2/8 pound of trail mix to Michael. How much trail mix does Liza have left?

Answers

5/8 - 2/8 = 3/8, and 3/8 simplify into 0.375, so he have 0.375 pounds of trail mix left.

Please help with these math questions

Answers

1.
a^2+b^2=c^2
easy
a=a
b=13
c=21
a^2+13^2=21^2
a^2+169=441
minus 169 both sides
a^2=272
sqrt both sides
a=16.4924
D is answer

2. same thing
a=18
b=26
18^2+26^2=c^2
324+676=c^2
1000=c^2
sqrt both sides
31.6228=c
C is answer

3.
one way is to plug them in
remember that hypotonuse is longest side
A. 7^2+24^2=25^2, is that true?, yes it is treu
answer is A

4.
legs are 6 and 4
a=6
b=4
c=x
4^2+6^2=x^2
16+36=x^2
52=x^2
sqrt both sides
7.2111=x
7.2=x

5.c=20
a=x
b=14

x^2+14^2=20^2
x^2+196=400
minus 196 both sides
x^2=204
sqrt both sides
x=14.2829
x=14.3

1. D
2. C
3. A
4. 7.2
5. 14.3

a survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. The ratio of students who took buses to those who took public buses was 4:3. There were 360 more students who walked than took buses. How many students took public buses to school? Please explain everything you did or just write your equations.

Answers

I fear that there is an error copying your assignment.
65% of the students walked. Are all of the other students on buses? Are there both public buses AND private buses?
Assuming that you need to know BOTH kinds of buses, try this:

65% of the students walked, so since 100% - 65% = 35% then this means that 35% of the students were on buses.
Since we know that there are 360 more walkers than bus riders, then one equation we know is: 65% of S = 360 + 35% of S (let S = total # of students)
.65 S = 360 + .35 S
- .35 S = - .35 S Subtract .35 S from both sides
.30 S = 360 Divide both sides by .30 (or .3)
.30 .30
S = 1,200 so we know that this is the total number of students, but that is not what was asked.
They want to know how many are on buses and specifically how many are on public buses, if I read this correctly.
Since the walkers = 65% of 1,2000 and we know of means TIMES, then
.65 (1,200) = 780 walkers
1,200 total students minus 780 walkers = 420 bus riders

Now, if there is not a misprint and we really have to figure out the public bus riders as compared to the private bus riders, then remember the ratio from above in the question: 4 bus: 3 public buses
Now if I read this right, that means that 3/4ths of the bus riders were on public buses
so 3/4 of 420 means 3/4 times 420 = 3 times 105 = 315 public bus riders (which coincidentally leaves 105 private bus riders, but since they are private we don't know much about them. Ha-Ha..... I made a lame joke.)

So your answer is 315 public bus riders

Answer:

126

Step-by-step explanation:

3.6x65

360-234

What is the midpoint of the x intercepts of f(x)=(x-2)(x-4