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Katyanochek1 [597]
3 years ago
12

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.
Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

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.

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Answer:

1)  (c)∠ G = 34°

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Step-by-step explanation:

Here in the given questions:

1)  p II r

⇒ ∠ G  = 34°  (ALTERNATE EXTERIOR ANGLES)

Hence, the measure of  ∠ G = 34°

2) In the given triangle:

The measure of exterior angle is always the sum of interior opposite angles.

⇒ Here, x + 72°  = 105°

or, x = 105° - 72° =   33°   , or x = 33°

3) The given plane in the cube is JKPN

The segments which have J , K , P and N as their one vertex are perpendicular to the given plane.

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3 years ago
Fraction 4 over 5 n = Fraction 2 over 3. n = ___?
Taya2010 [7]

Answer:

Step-by-step explanation:

(4/5)n = (2/3)

move 4/5 to the right

n = (2/3)/(4/5)

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5 0
3 years ago
.......…............
Nookie1986 [14]

Answer:

\frac{7}{8} \div \frac{1}{2} = \frac{7}{4}

Step-by-step explanation:

Here we are given four equations and we have to find the equation that gives the number of half inches that are in \frac{7}{8} inches.

To find how many half inches i.e. \frac{1}{2} inches are there in \frac{7}{8} inches we have to divide \frac{7}{8} by \frac{1}{2}.

So, the equation that will give the result is \frac{7}{8} \div \frac{1}{2} = \frac{7}{8} \times \frac{2}{1} = \frac{7}{4} (Answer)

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Korvikt [17]

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8 0
2 years ago
The table shows a company’s profit based on the number of pounds of food produced.
Bingel [31]

Answer:

$5,300

Step-by-step explanation:

Formulae used,

a=\dfrac{(\sum x^2y\sum xx)-(\sum xy\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}

b=\dfrac{(\sum xy\sum x^2x^2)-(\sum x^2y\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}

c=\dfrac{\sum y}{n}-b\frac{\sum x}{n}-a\frac{\sum x^2}{n}

Where,

\sum xx=\sum x^2-\dfrac{(\sum x)^2}{n}

\sum xy=\sum xy-\dfrac{\sum x\sum y}{n}

\sum xx^2=\sum x^3-\dfrac{\sum x\sum x^2}{n}

\sum x^2y=\sum x^2y-\dfrac{\sum x^2\sum y}{n}

\sum x^2x^2=\sum x^4-\dfrac{(\sum x^2)^2}{n}

Putting the values from the table, we get the best fit line as,

y= -0.0817x^2 + 102.24x - 20421

As we want to calculate the profit at 350 pounds, so putting x=350, we get

y= -0.0817(350)^2 + 102.24(350) - 20421=\$5354.75


5 0
3 years ago
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