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stepan [7]
3 years ago
8

Solve the following equation when a = 3 and b = 2. 5a^2 − 10b + 9b =

Mathematics
2 answers:
olga2289 [7]3 years ago
5 0
5(3)^2-10(2)+9(2)
15^2-20+18
225-20+18
=223
rusak2 [61]3 years ago
4 0
The answer for this problem is 43
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How many liters of water must Sharon add to 2 liters of a sugar and water solution that is 36% sugar to create a solution that i
Dahasolnce [82]

The amount of sugar x in the starting solution contributes to a 36% concentration, so we have

\dfrac x2=0.36\implies x=0.64

units of sugar in the solution.

Into this solution, Sharon wants to pour y liters of water to obtain a smaller concentration of sugar in the overall solution:

\dfrac{0.64}{2+y}=0.12\implies\dfrac{16}3=2+y\implies y=\dfrac{10}3\approx3.33

So Sharon needs to add \dfrac{10}3 liters of water to the solution to get the desired concentration.

3 0
3 years ago
A cylindrical barrel has a radius of 7.6ft and height of 10.8ft. Tripling which dimensions will triple the volume of the barrel?
Ymorist [56]
Both height and radius.

Hope this helps! (:
5 0
3 years ago
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3x+8x(-8x+3)= simplify it i guess
xxMikexx [17]

Answer:

27x-64x^2

Step-by-step explanation:

Distribute the 8x

3x-64x^2+24x

Combine like terms (3x and 24x)

27x-64x^2

6 0
3 years ago
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The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the
maxonik [38]

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

P(X > x) = \frac{b - x}{b - a}

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that a = 0.95, b = 1.05

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

P(X > x) = 0.9

So

\frac{1.05 - x}{1.05 - 0.95} = 0.9

1.05 - x = 0.9*0.1

x = 1.05 - 0.9*0.1

x = 0.96

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

4 0
3 years ago
A square has a side length of 3x inches and an area of 324 in? What is the value of x​
Firdavs [7]

So its a square with a side length of 3x so all sides are 3x so 3x x 3x is 9x 9x = 324 so 924/9 is your answer ;D

8 0
3 years ago
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