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kotegsom [21]
3 years ago
11

Solving Multi-Step Equations

Mathematics
1 answer:
KengaRu [80]3 years ago
8 0
1.\\2n+3n+7=-41\\5n=-41-7\\5n=-48\\n=-48:5\\\boxed{n=-9.6}\\------------------\\2.\\2x-5x+6.3=-14.4\\-3x=-14.4-6.3\\-3x=-20.7\\x=(-20.7):(-3)\\\boxed{x=6.9}\\------------------

3.\\2z+9.75-7z=5.15\\-5z=5.15-9.75\\-5z=-4.6\\z=(-4.6):(-5)\\\boxed{z=0.92}\\------------------\\4.\\3h-5h+11=17\\-2h=17-11\\-2h=6\\h=6:(-2)\\\boxed{h=-3}\\------------------

5.\\2t+8-t=-3\\t=-3-8\\\boxed{t=-11}\\------------------\\6.\\6a-2a=-36\\4a=-36\\a=-36:4\\\boxed{a=-9}\\------------------

7.\\3c-8c+7=-18\\-5c=-18-7\\-5c=-25\\c=(-25):(-5)\\\boxed{c=5}\\------------------\\8.\\7g+14-5g=-8\\2g=-8-14\\2g=-22\\g=-22:2\\\boxed{g=-11}\\------------------

9.\\2b-6+3b=14\\5b=14+6\\5b=20\\b=20:5\\\boxed{b=4}\\------------------\\10.\\2(a-4)+15=13\\2a-8=13-15\\2a=-2+8\\2a=6\\a=6:2\\\boxed{a=3}\\------------------

11.\\7+2(a-3)=-9\\2a-6=-9-7\\2a=-16+6\\2a=-10\\a=-10:2\\\boxed{a=-5}\\------------------\\12.\\13+2(5c-2)=29\\10c-4=29-13\\10c=16+4\\10c=20\\c=20:10\\\boced{c=2}
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Maria collected some stones at the beach. Now she wants to make a clear plastic container to display the stones. To plan the con
8090 [49]

Answer:

The volume of the stones is 382 cube inches.

Step-by-step explanation:

The dimensions of the aquarium are;

length = 16 inches

width = 8 inches

height = 10 inches

The height of the water in the aquarium = 4 inches

i. Volume of the water in the aquarium = length x width x height

                               = 16 x 8 x 4

                               = 512 cube inches

The volume of water in the aquarium is 512 cube inches.

ii. The new height of water = 7 inches.

New volume of water = 16 x 8 x 7

                                  = 896 cube inches

The new volume of water is 869 cube inches.

The volume of the stones = New volume of water - initial volume of water

                                  = 869 - 512

                                  = 384 cube inches

The volume of the stones is 382 cube inches.

6 0
3 years ago
Solve system by using substitution: 5x + 3y = -4 <br> y - 2x = 6
horrorfan [7]

Answer:

x = -11/3, y = -4/3

Step-by-step explanation:

y-2x=6\\y = 2x + 6

3(2x + 6) = -4\\6x + 18 = -4\\6x = -22\\x = -11/3

3y = -4\\y = -4/3

5 0
3 years ago
If STUV is a square with SW = 2x + 13 and WU = 8x - 41, find VT.<br><br> 20 points
sergejj [24]

Answer: VT equals 62

Step-by-step explanation: In the square with sides STUV, the point W is a midpoint on the diagonal of the square such that the diagonal line SU is divided into two equal halves by the lines SW and WU. Also note that a square has two diagonals whose measurements are equal, that is, line SU equals line VT.

If the point W is the midpoint of SU, then we can conclude that SW equals WU. This means;

2x + 13 = 8x - 41

Collect like terms and you now have,

13 + 41 = 8x - 2x

54 = 6x

Divide both sides of the equation by 6

9 = x

Having calculated the value of x, remember that SW plus WU equals SU. And diagonal SU equals diagonal VT.

Therefore, VT is calculated as follows;

VT = SW + WU

VT = 2x + 13 + 8x - 41

VT = 2(9) + 13 + 8(9) - 41

VT = 18 + 13 + 72 - 41

VT = 62

8 0
3 years ago
For how long will the Tokyo Olympics be delayed?
Anton [14]

Answer:

he Tokyo Olympics delayed until 2021 due to the coronavirus, officials announced on Tuesday.

Step-by-step explanation:

6 0
3 years ago
What is the measure of angle C
maw [93]

Answer:

C = 77°

Step-by-step explanation:

From the intercepted arc theorem, we can say that Angle ABC (angle B) is HALF of the arc intercepted (which is 110).

Hence, angle ABC = 55.

Now, looking at triangle ABC, we know that sum of 3 angles of a triangle is 180. We already know Angle A to be 48 and Angle B to be 55, thus Angle C is:

A + B + C = 180

48 + 55 + C = 180

103 + C = 180

C = 180 - 103

C = 77

4 0
4 years ago
Read 2 more answers
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