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3 years ago

PLEASE HELP Match each expression to the scenario it represents

Mathematics

1 answer:

joja [24]3 years ago

5 0

Answer:

0.79m

ii)

1.21m

iii)

7/5m

iv)

3/5m

Step-by-step explanation:

The price of a USB memory stick selling at a 21% discount off its marked price (m)

The marked price m represents 100% of the value of the USB memory stick. Offering a 21% discount off the marked price will mean that the USB will be selling at;

(100 - 21)% of the marked price m

=79% of m

= (79/100)*m

= 0.79m

ii)

The price of a CD that sells for 21% more than the amount (m) needed to manufacture the CD.

The amount (m) needed to manufacture the CD would represent 100% of the value of the CD. Selling the CD for 21% more than the amount (m) needed to manufacture the CD will imply that the selling price is;

(100+21)% of m

= 121% of m

= (121/100)*m

= 1.21m

iii)

The final value of a painting after its initial value, m, increases by 2/5.

The initial value of the painting is given as m. The value of the painting is said to increase by 2/5 which means that the increase in its value would be;

2/5 of m

=2/5 * m

=2/5m

The final value of the painting will thus be;

initial value + increase in value

=m + 2/5m

= m(1+2/5)

=7/5m

iv)

The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy.

Initially, Nancy had a total of m markers. By giving away 2/5 of her markers to Amy, her markers reduced by;

2/5 of m

=2/5*m

=2/5m

The new number of her markers will be given by;

initial numbers - total given to Amy

= m - (2/5m)

= m(1 - 2/5)

=m(3/5)

=3/5m

You might be interested in

Marcia has a licorice rope that is 28 inches long. She wants to cut it into 3,-inch pieces to share with friends. How many piece

diamong [38]

Answer:

9 pieces

Step-by-step explanation:

28 inches rope cut into 3-inch pieces

28/3 = 9 1/3

There is no matching answer choice, if given numbers are correct then the answer is 9 full pieces

---------

Note:

The close answer choice is 8
28/8 = 3 1/2 or 3.5
So if cut into 3.5 inch pieces then it is 8 full pieces
just in case it was typo 3 instead of 3.5

8 0

3 years ago

Read 2 more answers

I need help finding the y-intercept of these, I am no good with slope and tables. ;-;

zubka84 [21]

Answer:

1. -4

2. 6

3. -6

(i hope this is right •_•)

Step-by-step explanation:

First table

When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.

Second table

For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;

So, the formula for calculating slope is $\frac{y_{2} -y_{1}}{x_{2}-x_{1}}$ . I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

$\frac{9-12}{-3-(-6)}$

And simplify...

$\frac{-3}{3}$

So, your slope is -1. We can use that. We just have to count down.

If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.

Third table

Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.

$\frac{-3-(-5)}{9-3}$