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ozzi
3 years ago
13

1,188 divided by 9 show work

Mathematics
1 answer:
Arisa [49]3 years ago
4 0
Answer is 132
because 9 goes into 11 twice and 9 goes into 28 3 times

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Economists predict that Americans will spend $1,180 on Summer Vacation in 2015, this is up 4.8% from 2014. What did Americans sp
natta225 [31]

Answer:

$1151.4

Step-by-step explanation:

let americans spend $a in 2014

(1+4.8%)a=1180

104.8%a=1180

a=1151.4 (rounded off to the nearest tenths)

7 0
3 years ago
Factor completely x^8- 16.
Nataly_w [17]

Answer:

Step-by-step explanation:


So in this example we'll be using the difference of squares which essentially states that: (a-b)(a+b)=a^2-b^2 or another way to think of it would be: a-b=(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}). So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

x^8-16 = (x^4-4)(x^4+4)

Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:

x^4-4 = (x^2-2)(x^2+2)

So completely factored form is: (x^2-2)(x^2+4)(x^4+4)

I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because x^2+4 = x^2-(-4). and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: x^4+4 = x^4 - (-4) = (x^2-\sqrt{-4})(x^2+\sqrt{-4}) = (x^2-2i)(x^2+2i) just something that might be useful in some cases.

7 0
1 year ago
Read 2 more answers
Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 perce
tatiyna

Answer: 600

Step-by-step explanation:

Given : Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into trees

Let x be the number of apply seeds and y be the number of orange seeds , the we have the following equations:-

x=4y           (1)

0.15x+0.10y=420            (2)

Put x= 4y in (2), we get

0.15(4y)+0.10y=420

0.60y+0.10y=420

0.70y=420

Divide both sides by 0.70.

y=600

Hence, Sue planted 600 orange seeds.

7 0
3 years ago
A handy man charges $40 an hour plus the cost of materials. Rosanne received a bill from the handyman for $477 for 8 hour of wor
djverab [1.8K]
Should be something like 40(8)+ ?= 477$
5 0
3 years ago
Read 2 more answers
How many times greater is 8.1 x 10^9 than 9 x 10^6. a.9 b.90 c.900 d.9000
Brilliant_brown [7]
The answer is d because if u multiple it u will get 9000
8 0
3 years ago
Read 2 more answers
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