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adell [148]
4 years ago
6

Factor Completely: 3x2 + 9x - 30

Mathematics
1 answer:
enyata [817]4 years ago
8 0

Answer:

3(x-2)(x+5)

Step-by-step explanation:

1. Factor out common term 3

3(x^2 +3x-10)

2. Factor (x^2 +3x-10)

3(x-2)(x+5)

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A company produces a set of blocks. It costs them $5 to make. They mark it up 300% when they sell it to a toy distributor. The t
Nostrana [21]
Hello! So, the toy company makes blocks that cost $5 to make. Then, they mark it up by 300%, which is marking the price up by 4. 100% markup is doubling the price, 200% is tripling the price, and 300% marks the price up by 4. Then, the blocks would cost $20. After that, the price would be marked up by 150%, so that’s 2.5 times the price of the original. When you do $20 by 2.5, then the blocks cost $50. The local toy store will mark the block up by 200%, which as said before, is tripling the price. Then, you do 50 * 3, and then the price of the blocks is $150. Then, it gets marked off by 30% and 10% of 150 is 15, so 30% off 150 is 45. When you do 150 - 45, the difference is $105. Then, you take off an additional 15%, But you would still have to pay 85% of the original price. You would do 105 * 0.85, and then you would get $89.25 for the blocks. But that’s not all. You have to pay 8% sales tax for the blocks. You can find the tax by doing 89.25 * 0.08 and then adding the prices together. Or, you can do 89.25 * 1.08 to find the total price. Either way, the product should be 96.39. The total price you paid for the blocks is $96.39.
6 0
3 years ago
The country fair charges $8.50 to get in and $2 per ride. If you have $50.50 in your pocket, write an equation to find out how m
puteri [66]
50.50 - 8.50 = 42.00 divded by 2.00 = 21 rides
7 0
3 years ago
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A business bought 500 lamps for $10,000. They want to mark them up 25%. What is the retail price of each lamp?
zavuch27 [327]

Answer:

$25 a lamp

Step-by-step explanation:

First divide $10,000  by 500 lamps to find how much one of them cost

That is $20 a lamp so then multiply .25 *20 or 1/4 *20

you get 5 than add 20 +5=25

8 0
3 years ago
The total surface area of a hemisphere is 45<br><img src="https://tex.z-dn.net/?f=%5Cpi%5Cp" id="TexFormula1" title="\pi\p" alt=
rjkz [21]

Answer:

The volume of the hemisphere  

       V = 121.33086 cubic centimeter

Step-by-step explanation:

<u>Step(i)</u>:-

Given that the total surface area of a hemisphere = 45π cm²

<em> The total surface area of a hemisphere = 3π r²</em>

Equating

              3π r² = 45π

                   r^{2} = \frac{45}{3} =15

                    r = \sqrt{15} = 3.87

The radius of the sphere 'r' = 3.87

<u><em>Step(ii):-</em></u>

<em>The volume of the hemisphere</em>

                 V = \frac{2}{3} \pi r^{3}

                V = \frac{2}{3} \pi (3.87)^{3}

we know that   π = 3.14

                V = \frac{2}{3}  (3.14) (3.87)^{3}

               V = 121.33086 cubic centimeter

               

         

7 0
3 years ago
Please help in confused
Darya [45]

Answer:

the first answer is correct and brainliest plsss (^_^)

Step-by-step explanation:

8 0
3 years ago
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