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myrzilka [38]
3 years ago
13

If W is 25% of Z, then Z:W is 75:25. Is it true or false??

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
7 0
That is false because is percentage is basically x/100, so W:Z is 25/100. Thus, Z:W is 100:25
Brilliant_brown [7]3 years ago
3 0
It would be false for sure because 25% or .25 will be considered with 100 100/.25 and so not forget to put in simplest form so it will be 4 / .1 and that does not equal to 75/25 Hoped that helped !!!!
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Circle the value that solutions of the inequality 2x - 3 < -9
velikii [3]

Answer:

x < -3

Step-by-step explanation:

2x - 3 < -9

Add 3 to each side

2x - 3+3 < -9+3

2x < -6

Divide by 2

2x/2 < -6/2

x < -3

5 0
3 years ago
Need help with this math ​
WITCHER [35]

Answer:

13.6/1

Step-by-step explanation:

204/15

5 0
3 years ago
Leslie made a chocolate milkshake in the blender for her daughter milkshake occupies just a little more than 50 in.³ of space in
Butoxors [25]

Answer:

Glass A is too small, Glass B is large enough and Glass C is too small ....

Step-by-step explanation:

Glasses are cylindrical in shape. Thus the formula is:

V = π r² h

For Glass A:

r = d/2 = 3.5/2

r = 1.75

h = 4 inches

Now substitute the values in the formula:

V= 3.14*(1.75)^2 * 4

V= 3.14*3.0625*4

V= 38.465 in.³ < 50in.³

For Glass B:

V = π r² h

where h = 5 inches

r = 1.9 inches

Plug the values in the formula:

V=3.14*(1.9)^2*5

V= 56.677 in³ > 50in³

For Glass C:

V = π r² h

where h=6 inches

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Plug the values in the formula:

V= 3.14*(1.5)^2*6

V= 42.39 in³ < 50 in³

Therefore Glass A is too small, Glass B is large enough and Glass C is too small ....

4 0
3 years ago
Read 2 more answers
If you are given a3=2 a5=16, find a100.
ra1l [238]

I suppose a_n denotes the n-th term of some sequence, and we're given the 3rd and 5th terms a_3=2 and a_5=16. On this information alone, it's impossible to determine the 100th term a_{100} because there are infinitely many sequences where 2 and 16 are the 3rd and 5th terms.

To get around that, I'll offer two plausible solutions based on different assumptions. So bear in mind that this is not a complete answer, and indeed may not even be applicable.

• Assumption 1: the sequence is arithmetic (a.k.a. linear)

In this case, consecutive terms <u>d</u>iffer by a constant d, or

a_n = a_{n-1} + d

By this relation,

a_{n-1} = a_{n-2} + d

and by substitution,

a_n = (a_{n-2} + d) + d = a_{n-2} + 2d

We can continue in this fashion to get

a_n = a_{n-3} + 3d

a_n = a_{n-4} + 4d

and so on, down to writing the n-th term in terms of the first as

a_n = a_1 + (n-1)d

Now, with the given known values, we have

a_3 = a_1 + 2d = 2

a_5 = a_1 + 4d = 16

Eliminate a_1 to solve for d :

(a_1 + 4d) - (a_1 + 2d) = 16 - 2 \implies 2d = 14 \implies d = 7

Find the first term a_1 :

a_1 + 2\times7 = 2 \implies a_1 = 2 - 14 = -12

Then the 100th term in the sequence is

a_{100} = a_1 + 99d = -12 + 99\times7 = \boxed{681}

• Assumption 2: the sequence is geometric

In this case, the <u>r</u>atio of consecutive terms is a constant r such that

a_n = r a_{n-1}

We can solve for a_n in terms of a_1 like we did in the arithmetic case.

a_{n-1} = ra_{n-2} \implies a_n = r\left(ra_{n-2}\right) = r^2 a_{n-2}

and so on down to

a_n = r^{n-1} a_1

Now,

a_3 = r^2 a_1 = 2

a_5 = r^4 a_1 = 16

Eliminate a_1 and solve for r by dividing

\dfrac{a_5}{a_3} = \dfrac{r^4a_1}{r^2a_1} = \dfrac{16}2 \implies r^2 = 8 \implies r = 2\sqrt2

Solve for a_1 :

r^2 a_1 = 8a_1 = 2 \implies a_1 = \dfrac14

Then the 100th term is

a_{100} = \dfrac{(2\sqrt2)^{99}}4 = \boxed{\dfrac{\sqrt{8^{99}}}4}

The arithmetic case seems more likely since the final answer is a simple integer, but that's just my opinion...

3 0
2 years ago
The following data points represent the volume
maks197457 [2]

Answer:

The missing volume of gas is 6 liters

Step-by-step explanation:

The following data points represent the volume  of gas in each race car driver's tank (in liters):

4,5, 13, ?

Let the missing value be x

Data : 4,5,13,x

Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}

7 = \frac{4+5+13+x}{4}

7 \times 4=4+5+13+x

28=22+x

28-22=x

6=x

Hence The missing volume of gas is 6 liters

6 0
3 years ago
Read 2 more answers
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