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3 years ago

4 2/5 divided by 1 1/3

Mathematics

1 answer:

Naddik [55]3 years ago

6 0

Answer:

3.3

Step-by-step explanation:

$= > \frac{4 \frac{2}{5} }{1 \frac{1}{3} } \\ \\ = > \frac{ \frac{20 + 2}{5} }{ \frac{3 + 1}{3} } \\ \\ = > \frac{ \frac{22}{5} }{ \frac{4}{3} } \\ \\ = > \frac{22}{5} \times \frac{3}{4} \\ \\ = > \frac{11}{5} \times \frac{3}{2} \\ \\ = > \frac{33}{10} \\ \\ = > 3.3$

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If f(x)=2x+5 and g(x)=x²+5, evaluate the functions:

Ostrovityanka [42]

Answer:

f(-3) = -1

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Step-by-step explanation:

plug -3 for x to get the answer

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3 years ago

Read 2 more answers

What is the answer to 3(x+4)+2(5x+2)

nalin [4]

=(3)(x)+(3)(4)+(2)(5x)+(2)(2)
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(hope this helps)

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3 years ago

Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

Month 0 (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

Month 2

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

Month 3

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

Month 24 (2 years)

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

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3 years ago

A 25,000-gallon swimming pool needs to be completely drained for maintenance purposes.

egoroff_w [7]

Answer:

A: 1800h-25,000

B: Yes, he would have time.

Step-by-step explanation:

Lets turn 30 gallons/minute into hours so we can make it easier.

18000h-25000

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From May 7 at 8:00 a.m. to May 8 at 12 p.m. would be 28 hours.

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3 years ago

What is the factored form of 2x2 + x-3?

Vesnalui [34]

Answer:

Step-by-step explanation:

a = 2, b = 1, c = -3

We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.

a * c = 6 and the factors of 6 and 1 and 6, 2 and 3. Well, 6 - 1 doesn't equal 1 and neither does 6 + 1. So our factors are 3 and 2. In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1. That means that 3 is positive and 2 is negative. Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):

$2x^2+3x-2x-3=0$

Group the first 2 terms together and the second 2 term together in order to factor:

$(2x^2+3x)-(2x-3)=0$ and factor out what's common in each set of parenthesis.

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Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with. We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same. Ours are identical: (2x + 3). That is common now, and can be factored out:

$(2x+3)(x-1)=0$

That matches your first choice

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3 years ago