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Bezzdna [24]
3 years ago
10

Solve the following equation for x.

Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

Solve for x (isolate/get x by itself)

\frac{1}{4}x-7=\frac{3}{8}x-5    Add 5 on both sides

\frac{1}{4}x-7+5=\frac{3}{8}x-5+5

\frac{1}{4}x-2=\frac{3}{8}x   Subtract 1/4x on both sides

\frac{1}{4}x-\frac{1}{4}x-2=\frac{3}{8}x-\frac{1}{4}x

-2=\frac{3}{8}x-\frac{1}{4}x   Make the denominators the same of the fractions in order to combine them. Multiply 2 to the top and bottom of 1/4x

-2=\frac{3}{8}x-\frac{2}{8}x

-2=\frac{1}{8}x    Multiply 8 on both sides

-2(8)=(8)\frac{1}{8}x

-16 = x

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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet a
boyakko [2]

Answer:

Volume of Cylinder A is                          pi times the area of the base times the height

                                                             π r2 h = (3.1416)(4)(4)(15) = 753.98 ft3

Volume of Cylinder B is likewise             pi times the area of the base times the height

                                                             π r2 h = (3.1416)(6)(6)(7)   = 791.68 ft3

After pumping all of Cyl A into Cyl B

there will remain empty space in B         791.68 – 753.98 = 37.7 ft3  

The percentage this empty space is

of the entire volume is                            37.7 / 791.68 = 0.0476 which is 4.8% when rounded to the nearest tenth  

.

Guest Apr 26, 2020

Step-by-step explanation:

4 0
2 years ago
I need to solve this to get zero can you help?
Alex

Given a right triangle with the side lengths of legs = 9 and 13

For the required angle :

opposite side = 9

adjacent side = 13

so,

\begin{gathered} \tan \theta=\frac{opposite}{adjacent}=\frac{9}{13} \\  \\ \theta=\tan ^{-1}\frac{9}{13}=34.7 \end{gathered}

7 0
10 months ago
(a) A lamp has two bulbs, each of a type with average lifetime 1400 hours. Assuming that we can model the probability of failure
Temka [501]

Answer:

For first lamp ; The resultant probability is 0.703

For both lamps; The resultant probability is 0.3614

Step-by-step explanation:

Let X be the lifetime hours of two bulbs

X∼exp(1/1400)

f(x)=1/1400e−1/1400x

P(X<x)=1−e−1/1400x

X∼exp⁡(1/1400)

f(x)=1/1400 e−1/1400x

P(X<x)=1−e−1/1400x

The probability that both of the lamp bulbs fail within 1700 hours is calculated below,

P(X≤1700)=1−e−1/1400×1700

=1−e−1.21=0.703

The resultant probability is 0.703

Let Y be a lifetime of another lamp two bulbs

Then the Z = X + Y will follow gamma distribution that is,

X+Y=Z∼gamma(2,1/1400)

2λZ∼

X+Y=Z∼gamma(2,1/1400)

2λZ∼χ2α2

The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,

P(Z≤1700)=P(1/700Z≤1.67)=

P(χ24≤1.67)=0.3614

The resultant probability is 0.3614

8 0
2 years ago
What is the driving time for a 2100​-mile trip if you drive at an average speed of 45 miles per​ hour?
riadik2000 [5.3K]

Answer:

46 hours and 42 minutes

Step-by-step explanation:

2100/45 = 46.7

46 hours and 42 minutes

Hopefully this helps you :)

pls mark brainlest ;)

8 0
3 years ago
HELP MEE! PUT THE PERCENT, DECIMAL, AND FRACTION!
VMariaS [17]

80 c, 80%, 80/100, .80

$1.20, 120%, 120/100, 1.2

$1.60, 160%, 160/100, 1.6

$1.28, 128%, 128/100, 1.28

3 0
3 years ago
Read 2 more answers
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