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3 years ago

Suppose that 15 inches of wire costs 45 cents. At the same rate, how many inches of wire can be bought for 24 cents?

Mathematics

2 answers:

Tanzania [10]3 years ago

6 0

Answer:

8 inches

Step-by-step explanation:

We can use proportions to solve this problem. Take the inches over the money.

15 inches x inches

--------------- = -----------

45 cents 24 cents

Using cross products

15*24 = x *45

Divide each side by 45

15*24/45 = x*45/45

8 =x

You can buy 8 inches

Darina [25.2K]3 years ago

5 0

Answer:

8 inches of wire for 24 cents

Step-by-step explanation:

Simplify. Find the amount it costs for 1 inch of wire. Divide 45 with 15:

45/15 = 3

1 inch of wire costs 3 cents.

Now, solve for the the amount of wire (x) you can get for 24 cents

(1/3)(8/8) = (x/24)

1 x 8 = 8

3 x 8 = 24

x = 8

8 inches of wire for 24 cents

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Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The m

DaniilM [7]

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

$y = -x^2 + 10x - 8$

Required

The point where the trestle gets to the ground level

To do this, we set $y = 0$

So, we have:

$-x^2 + 10x - 8 = 0$

Multiply through by -1

$x^2 -10x + 8 = 0$

Solve using quadratic formula:

$x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where:

$a = 1; b =-10; c = 8$

So, we have:

$x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}$

$x= \frac{-(-10) \± \sqrt{68}}{2*1}$

$x= \frac{-(-10) \± 8.25}{2}$

$x= \frac{10 \± 8.25}{2}$

Solve the fraction

$x= 5 \± 4.125$

Split

$x= 5 + 4.125\ or\ x= 5 - 4.125$

$x= 9.125\ or\ x= 0.875$

7 0

2 years ago

45% of the population of a city are men

leonid [27]

Answer:

$\boxed{\textsf{ The number of children is \textbf{24150}.}}$

Step-by-step explanation:

Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,

$\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% .$

So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .

So let us take the total number of people be x . So ,

$\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}$

$\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}$

$\rule{200}2$

The percentage of children = 15% :-

$\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}$