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stira [4]
2 years ago
14

Doubling the sum of 5 and a number is equal to the same number decreased by 2. what is the equation

Mathematics
1 answer:
SVEN [57.7K]2 years ago
3 0

Answer:

2(x + 5) = x - 2

⟹ x = -12

Step-by-step explanation:

Doubling the sum of 5 and a number is equal to the same number decreased by 2. What is the equation?

This word problem can be written as:

⟹ 2(x + 5) = x - 2

1. Distribute:

2(x) + 2(5) = x - 2

⟹ 2x + 10 = x - 2

2. Subtract x from both sides:

2x - x + 10 = x - x - 2

⟹ x + 10 = -2

3. Subtract 10 from both sides:

x + 10 - 10 = -2 - 10

⟹ x = -12

4. Check your work:

2(x + 5) = x - 2

2(-12 + 5) = -12 - 2

2(-7) = -20

⟹ -14 = -14 ✔

Learn more here:

brainly.com/question/17821973

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I’m kinda confused. Can someone help.
horsena [70]

Answer:

PQ = PM\cos MPQ + MQ\cos MQP=2PM\cos MQP

Step-by-step explanation:

given MQR = 60, PQR = 75

MQP = 75 -60= 15QR = ((18(1+\cos 30))^{2}-(2\cos 15)^{2})^{\frac{1}{2}}

WE KNOW THAT MQR +QRM +QMR = 180

MPQ = MQP AS ANGLE OPPOSITE TO EQUAL SIDES ARE EQUAL

THEREFORE QMR = 90 - 60 = 30

therefore PQM = 75 - 60 = 15

PM = PQ because M is the mid point

therefore PR = PM + MQ\cos QMR

                PR = 18(1+\cos 30)

QR = (PR^{2}-PQ^{2}))^{\frac{1}{2}}

PQ = PM\cos MPQ + MQ\cos MQP=2PM\cos MQP

5 0
3 years ago
Assume that f is a one-to-one function.
Pavlova-9 [17]

It is given in the question that f is a one-to-one function.

And for a one-to - one function,

If

f(a)=b, \ then \ f^{-1} (b) =a

So we will get

a. If \ f(3)=15, \ then \ f^{-1} (15) =3
\\
b. If \  f^{-1}(6)=4, \ then \ f(4)=6

3 0
3 years ago
Find the slope of the line passing through the points (-9, -6) and (-4, 5).
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Answer:

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Step-by-step explanation:

8 0
3 years ago
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To eliminate the x-terms and solve for y in the fewest steps, by which constants should the equations be multiplied
vitfil [10]

Answer: I believe this is the answer.

6x-5y=17\\7x+3y=11

----------------------------

7 and -6

or

-7 and 6

5 0
3 years ago
So, Christian has a collection of 18 shark teeth. He identified them as 6 tiger shark teeth, 8 sand shark teeth, and the rest as
svetoff [14.1K]

Answer:

So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth. And, the number of bull shark teeth is 4.

Step-by-step explanation:

So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth.

Since Christian has 18 shark teeth, and 6 are tiger shark teeth, 8 are sand shark teeth and the rest are bull shark teeth.

Let x represent the number of bull shark teeth.

So, total number of shark teeth = number of tiger shark teeth + number of sand shark teeth + number of bull shark teeth.

18 = 6 + 8 + x

18 = 14 + x

subtracting 14 from both sides, we have

18 - 14 = 14 - 14 + x

4 = 0 + x

4 = x

x = 4

So, the number of bull shark teeth is 4.

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3 years ago
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