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2 years ago

Solve 2 - (3x - 12) = 41

Mathematics

1 answer:

Ber [7]2 years ago

5 0

Answer:

2 −1(3−12)=41

Step-by-step explanation:

Distribute:

2−1(3−12)=41292786-1(3x-12)=412−1(3x−12)=412−3+12=41

Add the numbers:

2−3+12=41 92786{2}-3x 92786{12}=412−3x+12=4114−3=41

Rearange terms:

1=4−3=41 92786 {14-3x}=4114−3x=41−3+14=41

Subtract 14 from both sides of the equation:

−3+=14=41-3x+14=41−3x+14=41−3+14−14=41−14

Simplify:

Subtract the numers, then subtract again and get

−3=27

Your solution:

=−9

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A metal conduit will be used as a pathway for wiring through a concrete block. The conduit is a 5 foot long rod with an outer di

kolbaska11 [484]

Answer: 586.59 cubic centimeters .

Step-by-step explanation:

As per given . we have

Inner diameter = 1.8 inches

⇒Inner radius :r = 0.9 in. (radius is half of diameter)

= 0.9 x (2.54) = 2.286 cm [∵ 1 in . = 2.54 cm]

Outer diameter = 2 inches

⇒Outer radius : R = 1 inch = 2.54 cm

Height : h = 5 feet = 5 x(30.48) = 152.4 cm [∵ 1 foot = 30.48 cm]

The formula to find the volume of a hollow cylinder :

$V=\pi(R^2-r^2)h$ , where R= outer radius , r= inner radius and h= height.

Now , the volume of metal in the conduit :

$V=(3.14)(( 2.54)^2-(2.286)^2)(152.4)$

$V=(3.14)(6.4516-5.225796)(152.4)$

$V=(3.14)(1.225804)(152.4)$

$V=586.591342944\approx586.59\ cm^3$

Hence, the volume of metal in the conduit is 586.59 cubic centimeters .

5 0

3 years ago

Write the ratio:2 2/5to 5 1/5 as a fraction in the lowest terms

yuradex [85]

2 2/5=12:5
5 1/5= 26:5
12:26:5
I think.

4 0

3 years ago

Train A leaves New York for California at the same time Train B leaves California for New York. They are 2900 miles apart. They

professor190 [17]

Answer:

(A) 120 mph

(B) -120 mph

Step-by-step explanation:

Given that,

New York and California are 2900 miles apart,

Both the trains A as well as B travel at an average speed of 120 mph.

Assuming that the path between the starting point in New York and the ending point in California is straight, so the given distance of 2900 miles is actually the shortest distance which is the displacement between the source and destination.

So, the given speed on the straight path is actually the velocity.

Assuming that the velocity is positive in the direction from New York towards California.

(A) So, the velocity of train A (towards California) = 120 mph.

(B) The velocity of train B (towards New York) = -120 mph.

(C) Bothy are moving towards each other, so the relative velocity between them is 120+120=240 mph, and the initial distance between them is 2900 miles.

When they meet, the displacement between them becomes zero, displacement covered= 2900-0=2900 miles.

So, the time, t, taken to cover the displacement 2900 miles with a relative velocity of 240 mph is

$t=\frac{2900}{240}$ [as time= displacement / relative velocity]

$\Rightarrow t=12\frac{1}{12}$ hours

=12 hours 5 minutes.

7 0

3 years ago

2 minutes and 45 seconds simplify so they have a common unit.

sp2606 [1]

Answer: 165 secs

Step-by-step explanation:

2 mins has 120 secs in it

120 + 45 = 165

3 0

2 years ago

8624 to the nearest thousand

Alika [10]

✡ Answer: 9000 ✡

- - Solve:

If your 3 numbers to the right (in this problem its 3) are 499 or less, you round down, if its 500 or up, you round up.

In this case, round up.

- - Solve furthermore:
9000


✡Hope this helps✡

4 0

3 years ago

Read 2 more answers