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svlad2 [7]
2 years ago
14

A 9-yard roll of string costs $3.42. What is the unit price?

Mathematics
1 answer:
Karolina [17]2 years ago
5 0

<em>Answer:</em>

<em>$0.38 per yard</em>

<em>Step-by-step explanation:</em>

<em>Step 1:</em>

Given; A 9-yard roll of string that costs $3.42.

Required; To find the unit price

<em>  Step 2:</em>

Convert $3.42 to cents

1 ~dollar=100~cents ~\\therefore,\\$3.42=3.42~x~100=342~cents~

<em>Step 3:</em>

<em>Find the unit price</em>

\frac{9 yard}{1 yard} =\frac{342 ~cents}{x~cents}

9x=342

\frac{9x}{9} =\frac{342}{9}

x=38~cents

<em>Convert to dollars</em>

x=\frac{38}{100}

x=0.38~per~yard

Hence the unit price is $0.38 per yard.

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Branson and his sister beatrice combined their allow of 7$ each, so they could buy a movie for 12$. They bought 1$ containers of
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Sally works in a cell phone store. She is paid a weekly salary of $80 plus $5.25 for
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Answer:

First, let's define some variables.

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a is the correct answer choice.

Step-by-step explanation:

7 0
3 years ago
Please help with a, b, and c!!
padilas [110]
(a). 
The product of two binomials is sometimes called FOIL.
It stands for ...

       the product of the First terms                (3j  x  3j)
plus
       the product of the Outside terms          (3j  x  5)
plus
       the product of the Inside terms            (-5  x  3j)
plus
       the product of the Last terms                (-5  x  5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have     

              (the sum of two things) x (the difference of the same things)

the product is going to be

                 (the first thing)²  minus  (the second thing)² .

So in (a), that'll be      (3j)² - (5)²  =  9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself.  So it's
another product of 2 binomials, that both happen to be the same:

                            (4h + 5) x (4h + 5)  .

You can do the product with FOIL, or use another little tool:

The square of a binomial        (4h + 5)²    is ...

         the square of the first term               (4h)²
plus
         the square of the last term                (5)²
plus
         double the product of the terms      2 · (4h · 5)
________________________________

(c).
Use the tool I gave you in part-a . . . twice .

The product of the first 2 binomials is           (g² - 4) .

The product of the last 2 binomials is also    (g² - 4) .

Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .

5 0
3 years ago
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VashaNatasha [74]
1.1

Hope this helps:)
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