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vitfil [10]
3 years ago
8

Solve 7 ( x + 1 ) + 2 = 5x + 15

Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

7(x + 1) + 2 = 5x + 15

~Simplify left side

7x + 7 + 2 = 5x + 15

~Combine like terms

7x + 9 = 5x + 15

~Subtract 9 to both sides

7x = 5x + 6

~Subtract 5x to both sides

2x = 6

~Divide 2 to both sides

x = 3

Best of Luck!

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2 years ago
A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage
svp [43]

Answer:

5817 Newtons.

Step-by-step explanation:

Total mass of the cage + the miners = 700 Kg which is a downward force of  700g N.

The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.

We  calculate the  acceleration of the cage by using an equation of motion:

Distance = ut + 1/2 a t^2     where u = initial velocity , t = time and a = acceleration:

75 = 0(t) + 1/2 a (10^2)

50a =  75

a = 1.5 m s-2.

So using Newtons second law of motion

Force = mass * acceleration:

700*9.81 - T = 700 * 1.5

T = 700 * 9.81 - 700*1.5

= 5817 N.

8 0
3 years ago
Need help on this math problem​
erik [133]

Answer:

-5, 18, \sqrt{13}

Step-by-step explanation:

We can solve the first equation, f of -3. The value of the function f is \frac{1+x^2}{x+1}, and plugging in -3 gets us \frac{1+9}{1-3}, this results in 10 divided by negative 2, which is negative 5.

Now, we must solve g of negative one third. The function g is defined as |9x-15|. Plugging in negative one third into the question gets us |9(-\frac{1}{3})-15|

9 times negative one third is -3, and -3 minus 15 is -18. The absolute value of -18 is 18.

Now, we must solve h of negative 2, and h is defined as \sqrt{-3-8x}. Plugging in negative 2, we have \sqrt{-3-8(-2)}. Negative 8 times negative 2 is positive 16, and 16 minus 3 is 13. The answer is the square root of 13

7 0
2 years ago
Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same ro
nydimaria [60]
The key is Esther travelled the same distance - x - in both her morning and evening commute.

45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x

Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.

Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.

Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.

45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.

<span>Hope that makes a little sense. And I also hope it's right</span>
7 0
3 years ago
Read 2 more answers
The sum of two numbers is 43, and their product is 450. What is their difference?​
kow [346]

Answer:

List the factors of 450

1,450

3,150

5,90

6,75

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15,30

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The factor with the sum of 43 is 18+25

25-18=7 so the difference is 7

hope this helps

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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