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mr_godi [17]
3 years ago
9

Frances can complete 91oil changes in 7 days. How many oil changes can Frances complete in 11days? oil changes

Mathematics
2 answers:
kotegsom [21]3 years ago
6 0

Answer:

143 oil changes

Step-by-step explanation:

Let's find out Frances' rate per 1 day. We can set up a proportion, since we know he can do 91 oil changes in 7 days:

\frac{91}{7} =\frac{x}{1}, where x is the number of oil changes Frances can do in 1 day

Cross-multiply:

91 * 1 = 7 * x

7x = 91

x = 91/7 = 13

So Frances can do 13 oil changes in 1 day. Set up another proportion to find how many oil changes he can complete in 11 days:

\frac{13}{1} =\frac{y}{11}, where y is the number of oil changes Frances can do in 11 days

Cross-multiply:

13 * 11 = 1 * y

y = 143

The answer is 143 oil changes.

Hope this helps!

Natali [406]3 years ago
4 0

Answer:

143

Step-by-step explanation:

lets make a fraction:

so

91 oil changes/7days

lets take "x" as the unknown # of oil changes:

so

x/11

91/7=x/11

we can cross multiply:

91*11=7*x

1001=7x

143=x

so 143 oil changes in 11 days

Hope this helps!

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tia_tia [17]

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(2x - 3)(x + 2)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (2x^{2} +  x) -  6

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x^{2}+x-6

The first term is,  2x^{2}  its coefficient is  2 .

The middle term is,  +x  its coefficient is  1 .

The last term, "the constant", is  -6

Step-1 : Multiply the coefficient of the first term by the constant   2 • -6 = -12

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   1 .

     -12    +    1    =    -11

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     -4    +    3    =    -1

     -3    +    4    =    1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  4

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Step-4 : Add up the first 2 terms, pulling out like factors :

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             Add up the last 2 terms, pulling out common factors :

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Step-5 : Add up the four terms of step 4 :

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            Which is the desired factorization

(2x - 3)(x + 2)

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