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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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Mark buys a fresh pair of Walmart shoes that cost $35.99 plus 5.5% tax. How much did he pay?
elena55 [62]

Answer:

$37.97

Step-by-step explanation:

The price of the shoes before tax is 100% of the price of the shoes.

Then the tax adds 5.5% of the price of the shoes to the price of the shoes.

He ends up paying 100% + 5.5% of the price of the shoes.

100% + 5.5% = 105.5%

Now we find 105.5% of $35.99.

105.5% of $35.99 = 1.055 × $35.99 = $37.96945

Answer: $37.97

8 0
3 years ago
Read 2 more answers
What is the answer to 1/9 + 3/5
hjlf
32/45 is the answer I believe
3 0
3 years ago
Read 2 more answers
E: f= 3:7<br> f:g= 2:3<br> Work out e:9
Ksenya-84 [330]

Answer:

e f f g

3 7 2 3

6 14 14 21

e;g=6:21

e : g=2 : 7

Step-by-step explanation:

8 0
2 years ago
6 points
kodGreya [7K]

Answer:

y=-2\,(x+3)^2-3

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex (x_v,y_v) in the expression:

y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter a:

y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2

So, now we can write the full expression for the parabola:

y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3

8 0
3 years ago
The captain of a boat knows that a lighthouse on the coast is 100 ft. tall. If he measures the angle of elevation to be 2 degree
faltersainse [42]

Answer and Step-by-step explanation:

           | \

           |   \

           |      \

           |         \

           |            \

100 ft.  |              \

           |         2     \

           |_________\

                    x

Use tangent to find the x.

tan(2) = \frac{100}{x}

x = \frac{100}{tan(2)}

Use a calculator to evaluate.

x = \frac{100}{tan(2)} = 2863.6253

So, the boat is 2,863.63 feet from the shore.

#teamtrees #WAP (Water And Plant)

6 0
3 years ago
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