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erastovalidia [21]
3 years ago
12

Find an equivalent expression to 3(4m-2)-2(m+5)

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0
3(4m-2)-2(m+5)

Distribute. 

12m-6-2m-10

12m-2m= 10m

-6-10= -16

10m-16

I hope this helps!
~kaikers
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Which of the following describes the correct process for solving the equation 2x - 6 = 22 and
Ulleksa [173]

Answer:

The correct solution is B

Step-by-step explanation:

2x - 6 = 22

2x = 28

x = 14

3 0
1 year ago
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a firefighter dives at 7.5 m/sec from window to net. If window is 34 m above net, what speed does firefighter hit net. ACCELRATI
lianna [129]

Answer:

Step-by-step explanation:

This is more physics than math, but since "The book of nature is written in the language of mathematics"...

Anyway, the one-dimesional motion equation you want to use here resembles the quadratic we use to model parabolic motion. It is

v^2=v_0^2+2aΔx

where v is the final velocity of the firefighter, v₀ is the initial velocity of the firefighter, a is -9.8 m/s/s (negative because the motion is in the downward direction), and Δx is -34 m. This is also negative because where the firefighter lands is below the point at which he started. This is important, because if you leave the 34 as positive, you end up with a negative radicand...and that's not gonna work. Filling in the formula:

v^2=(7.5)^2+2(-9.8)(-34)

Paying close attention to significant digits here is important (at least it is when I teach physics in school!). Since there are 2 significant digits in 7.5, we need 2 in the product. 7.5 squared is 56.25 which will round to 56. Then on the right side of the plus sign, we need 2 significant digits as well since the number 2 is part of the equation. We don't count it as significant if it is part of the equation. 2(-9.8)(-34) = 666.4 but that will round to 670. NOW, since the rules for significant digits are different in multiplication and addition, you have to round each first, then take the square root of the sum, rounding at the end. In this case we will round to the place that holds the least significance between the 2 numbers. In our case that is the tens place, since the tens place is less significant than is the 1's place. The number 7 is in the tens place. (Following that rule is super tricky, and also quite maddening!)

What we have here is

v^2=56+670 and

v=\sqrt{56+670}

That leaves us with

v = 26.94438j

But don't forget we round that to the tens place which comes out in the end, finally, to

v = 30 m/s

 

5 0
3 years ago
What is 706 × 76? cuz u suck at math
blsea [12.9K]
53,656 is the answer.
4 0
3 years ago
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What is the area of the sector with a central angle of 97 degrees and a diameter of 10cm
vampirchik [111]

Answer:

21. 162 (rounded to nearest thousandth)

Step-by-step explanation:

Area of a sector: (degree/360) (pi*radius^2)

degree given= 97

radius= diameter/2 = 5

(97/360) (pi*5^2)

(97/360) (pi*25) = 21.16211718

4 0
3 years ago
There are 56 students going on a field trip to the science center. The students tour the center in groups of 8 how many groups o
S_A_V [24]

Answer:

There would be 7 groups of students because 56 divided by 8 students gives you 7 groups.

Step-by-step explanation:

3 0
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