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3 years ago

help please! by what fraction would you multiply 8 1/2 so that the proudct is about 5 explain your reasiong

Mathematics

1 answer:

blsea [12.9K]3 years ago

8 0

9514 1404 393

Answer:

5/8 or 5/9

Step-by-step explanation:

The fraction will be exactly ...

5/(8 1/2) = 10/17 ⇒ (8 1/2)×(10/17) = 5

The fraction will be approximately ...

5/8 or 5/9

The denominator will be a number that makes (8 1/2)/(denominator) ≈ 1. For that denominator, the numerator will be 5, so that we have ...

(8 1/2) × (5/denominator) ≈ 5

(8 1/2)/(denominator) ≈ 1 . . . . . . . . divide by 5

If we want the denominator to be an integer, we could choose either 8 or 9. If we choose 8, the result will be slightly more than 5; if we choose 9, the result will be slightly less.

(8 1/2) × (5/8) = 5.3125 ≈ 5

(8 1/2) × (5/9) = 4.722... ≈ 5

Either 5/8 or 5/9 will give a product of about 5.

You might be interested in

In how many different ways can 10 be written as a sum of odd numbers

kakasveta [241]

5+5=10
3+1+1=10
1+1+1+1+1=10

Hope this Helps!

7 0

3 years ago

Simplify the rational expression. State any restrictions on the variable.

ExtremeBDS [4]

we are given

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}$

Firstly, we will factor numerators and denominators

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-6)(n^2-4)}{(n^2-3)(n^2-6)}$

we can see that

n^2 -6 is factor on both numerator and denominator

so, it will get cancelled

and n^2 -6 can not be equal to 0

so, one of restriction is

$n^2-6\neq 0$

$n\neq -+ \sqrt{6}$

we can simplify it

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-4)}{(n^2-3)}$

we know that denominator can not be zero

$n^2-3\neq 0$

$n\neq -+ \sqrt{3}$

so, option-B.......Answer

3 0

3 years ago

The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20

Pepsi [2]

Answer: They can order from 0 to 449 bars, but no more.

Step-by-step explanation:

Given: The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the fundraiser.

The inequality below relates x, the number of bars that could be ordered, with the shipping costs and their spending requirements.

$0.40x+20$