Scarlett works as a salesperson at an electronics store and sells phones and phone accessories. scarlett earns a $14 commission for every phone she sells and a $3 commission for every accessory she sells. on a given day, scarlett made a total of $344 in commission from selling a total of 45 phones and accessories. determine the number of phones sold and the number of accessories sold.

19 phones and 26 accessories

Step-by-step explanation:

What we need here is to work with a two-equation system, where one equation corresponds to income and the other to the amounts sold.

First, lets think on the amounts. She sold a p amount of phones and an a amount of accessories, such that in total she sold 45 items. So:

a + p = 45 [equation 1]

Then, she made a total money of $344, for selling this 45 items. With prices of $3 for accessories and $14 for phones. The equation is:

3a + 14 p = 344 [equation 2]

If we take equation 1 en get the value of a, by subtracting p en both sides:

a + p - p = 45 - p

a = 45 - p [equation 1']

If we pick this last equation and replace in equation 2 we have:

3a + 14 p = 344

3 (45-p) + 14p = 344

135 - 3p + 14p = 344

135 + 11 p = 344

Subtracting 135 in both sides:

135 -135 + 11p = 344 - 135

11p = 209

Dividing by 11 in both sides:

11p/11 = 209/11

p = 19

So, Scarlett sold 19 phones. If we replace it in equation 1:

a + 19 = 45

Subtracting 19 in both sides:

a = 26

She also sold 26 accessories.

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus