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Crazy boy [7]
3 years ago
14

Answer to the question

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

Answer:

x = 23

Step-by-step explanation:

AE = EC

so, 5x + 3 = 118

5x + 3 = 118

Bring +3 to the other side so -3

5x = 118 - 3

5x = 115

Bring 5 to the other side so:

x = 115 ÷ 5

x = 65

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An aquarium tank can hold 5400 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can
Nady [450]

Answer:

36 minutes when both pipes are working together

Step-by-step explanation:

capacity of tank = 5400 liters

Pipe A flow per mint. = 5400/90 = 60 liters per mint.

Pipe B flow per mint. = 5400/60 = 90 liters per mint.

Flow of A + B per mint. 60 + 90 = 150 liter per mint.

Therefore, 5400 / 150 = 36 minutes to fill the tank

8 0
3 years ago
In a given​ year, residents of a country spent approximately ​$54.6 billion on their pets. Of this​ amount, ​$17.1 billion was f
UNO [17]

The 31.31% of the $54.6 Billion was spent.

for the percentage solution

 x%=(amount spent on veterinary/ total amount) *100

Calculation:

let "x" be the percent of $54.6 billion spent on veterinary and total amount spent is $17.1 billion.

putting values in above formula

x%=(17.1/54.6)*100

x%=(0.3131)*100

x%=31.31

The 31.31% of the $54.6 Billion was spent.

Learn more about the percentage here:

brainly.com/question/14091961

#SPJ1

8 0
1 year ago
Help! Please show work. -2k+10=8(8k-7)
Burka [1]

Answer:

k=1

Step-by-step explanation:

-2k+10=64k-56

66=66k

k=1

7 0
3 years ago
Expan and simplify the following expression:<br> 3(2a + 3)(2a - 1) - 4 (a^2 - 7)
Mekhanik [1.2K]
= 3(4a^2 + 4a - 3) - 4a^2 + 28
= 12a^2 + 12a - 9 - 4a^2 + 28
= 8a^2 + 12a + 19
= 4a(2a + 3) + 19
3 0
3 years ago
Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ
Anit [1.1K]

Double angle identity for sine:

\sin(2x) = 2 \sin(x) \cos(x)

\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)

Factorize the left side.

2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)

Pythagorean identity:

\cos^2(x) + \sin^2(x) = 1

\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)

so that

\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}

8 0
1 year ago
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