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Sidana [21]
3 years ago
9

How much alcohol is there in 30 liters of a 45% alcohol solution?

Mathematics
2 answers:
zaharov [31]3 years ago
7 0

Answer:

Answer: 60%

Step-by-step explanation:

nadya68 [22]3 years ago
7 0

Answer:

13.5 Litres of alcohol

Step-by-step explanation:

45/100 * 30

0.45 * 30

=13.5

You might be interested in
The Eiffel Tower is 324 m tall. If a tourist is looking at it from 100 m away from the base,
romanna [79]

Answer:

80,94º

Step-by-step explanation:

What I've done is, first draw a triangle with a 90º angle and write down the height (324m) and the tourist's distance (100m).

So I calculated the tangent of the angle of the tourist.

The formula is tan=Oposite side/adjacent

tan=\frac{opposite side}{adjacent}

tan=\frac{324}{100} =3.24

And now with your calculator you press "shift" and "tan". Then introduce 3,24 and it will give you the result (80,94º).

I hope it helped.

4 0
3 years ago
When Hailey commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 21 minutes and a
miskamm [114]

Answer: 135 days

Step-by-step explanation:

Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 21 minutes

σ = 3.5 minutes

the probability that her commute would be between 19 and 26 minutes is expressed as

P(19 ≤ x ≤ 26)

For (19 ≤ x),

z = (19 - 21)/3.5 = - 0.57

Looking at the normal distribution table, the probability corresponding to the z score is 0.28

For (x ≤ 26),

z = (26 - 21)/3.5 = 1.43

Looking at the normal distribution table, the probability corresponding to the z score is 0.92

Therefore,

P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64

The number of times that her commute would be between 19 and 26 minutes is

0.64 × 211 = 135 days

8 0
3 years ago
The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t
valentina_108 [34]
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7 
7 0
3 years ago
Simplify the expression x8 y-26/x14 y-5 X x-39 y-21.
KonstantinChe [14]
\frac{x^8y^{-26}}{x^{14}y^{-5}}[x^{-36}y^{-21}]

We will apply these following power rule

x^m*x^n = x^{m+n}
x^m/x^n=x^{m-n}

[ \frac{x^8}{x^{14}}][ \frac{y^{-26}}{y^{-5}}][x^{-39}y^{-21}]
[x^{8-14}][y^{-26-5}][x^{-39}y^{-21}]
x^{-6}y^{-21}[x^{-39}y^{-21}]
[x^{-6-39}][y^{-21-21}]
x^{-45}y^{-42}
8 0
4 years ago
Find the total surface area of the prism.<br><br> 13 in.<br> 9 in.<br> 15 in.<br><br> Need asap
natta225 [31]

Answer:

The surface area of a rectangular prism with length of

15, a width of 9 and a height of 13 is:

894.0000 square units.

not sure

Step-by-step explanation:

To find the surface area, use this rectangular prism surface area

formula:

Surface Area =

[(Length x Width) + (Length x Height) + (Width x Height)] x 2

Example: The surface area of a rectangular prism with length of

3 inches, width of 4 inches, and height of 5 inches:

Surface Area = [(3 x 4) + (3 x 5) + (4 x 5)] x 2

Calculated out this gives a surface area of 94 Square Inches.

(not the answer example)

3 0
3 years ago
Read 2 more answers
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