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bearhunter [10]
3 years ago
8

HELP ME OUT FAST (I will make brainlist to whoever that show explaination.)

Mathematics
1 answer:
aksik [14]3 years ago
8 0

Answer:

2 3/4 Gallons

Step-by-step explanation:

4 1/2-1 3/4= 2 3/4

Convert 4 1/2 to 4 2/4 then subtract and you will get 2 3/4

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Solve the following equations using any method. Show your work and check your
Gemiola [76]

a) The solution for the equation 2x + 16 = 5x + 4  is x=4.

b) The solution for the equation 3x − 5 = 2x + 14 is x=19.

c) The solution for the equation 5x − 5 = x + 15 is x=5.

<u>Step-by-step explanation:</u>

<u>a) The given equation is  2x + 16 = 5x + 4 </u>

  • From the above equation, it can be found that the equation consists of x terms and constant terms.
  • Therefore, bring all the x terms on one side and the constant terms on other side of the equation.
  • This gives the simplified form of the equation to solve for x value.

⇒ 16-4 = 5x-2x

⇒ 12 = 3x

⇒ x = 12/3

⇒ x = 4

The solution for the given equation is x=4.

<u>To check, substitute x=4 in the equation :</u>

2(4) + 16 = 5(4) + 4

8+16 = 20+4

24 = 24

Therefore, the solution x=4 satisfies the equation 2x + 16 = 5x + 4

Similarly,

<u>b) The given equation is 3x − 5 = 2x + 14</u>

⇒ 3x-2x = 14+5

⇒ x = 19

The solution for the given equation is x=19.

<u>To check, substitute x=19 in the equation :</u>

3(19) - 5 = 2(19) + 14

57-16 = 38+14

52 = 52

Therefore, the solution x=19 satisfies the equation 3x − 5 = 2x + 14

Similarly,

<u>c) The given equation is 5x − 5 = x + 15</u>

⇒ 5x-x = 15+5

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

The solution for the given equation is x=5.

<u>To check, substitute x=5 in the equation :</u>

5(5) - 5 = 5 + 15

25-5 = 20

20 = 20

Therefore, the solution x=5 satisfies the equation 5x − 5 = x + 15

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How to find a outliers<br>​
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Answer: It is something that is really far away from the rest of your data

Step-by-step explanation: for example find the outlier: -1 2 3 7 10 20 the outlier is 20

6 0
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In 1924, the temperature in Fairfield, Montana, dropped from 63 degrees to -21 degrees in 12 hours. What was the average hourly
Pavlova-9 [17]
The average change hourly is 7 degrees per hour
4 0
3 years ago
Which equation can be used to find the length of Line segment A C? Triangle A B C is shown. Angle A C B is 90 degrees and angle
taurus [48]

<u><em>Answer:</em></u>

AC = 10sin(40°)

<u><em>Explanation:</em></u>

The diagram representing the question is shown in the attached image

Since the given triangle is a right-angled triangle, we can apply the special trig functions

<u>These functions are as follows:</u>

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

<u>Now, in the given diagram:</u>

θ = 40°

AC is the side opposite to θ

AB = 10 in is the hypotenuse

<u>Based on these givens</u>, we will use the sin(θ) function

<u>Therefore:</u>

sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)

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An amount of money b divided by 20 is $7. What is the amount?
olga2289 [7]
The amount of money, b, is $140.

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3 years ago
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