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3 years ago

8

Christopher bought a new watch at the store when they were having a 20% percent off sale. If the regular price of the watch was

$48 how much did Christopher pay with the discount?

1 answer:

MrMuchimi3 years ago

6 0

$38.40
48 x .2 = 9.6
48 - 9.6 = 38.4

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One number is 6 less than 3 times another number and their sum is 62

Elodia [21]

Let one of those numbers be x.

Now,
according to question,
The other number must be,

3x-6

Now,

as said in the question,

x+3x-6 =62
4x -6 =62
4x = 68
x = 17.

Now,
we got one of those numbers which was x = 17,

and the other number should be 3(17)-6 = 51-6 = 45.

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3 years ago

Together, Linda and Penny sold 492 boxes of Girl Scout cookies. Penny

boyakko [2]

Answer:

222

Step-by-step explanation:

Let L = number of boxes Linda sold.

Let P = number of boxes Penny sold.

The sold a total of 492 boxes.

L + P = 492

Penny sold 48 more boxes than Linda.

P = L + 48

Substitute P with L + 48 in the first equation and solve for L.

L + L + 48 = 492

2L + 48 = 492

2L = 444

L = 222

Answer: Linda sold 222 boxes.

Check:

Penny sold 48 more boxes, so she sold 222 + 48 = 270.

Add the numbers they sold: 222 + 270 = 492

The difference is 48, and the total is 492. Our answer is correct.

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3 years ago

The angle measurements in the diagram are represented by the following expressions.

gladu [14]

Answer:

Step-by-step explanation:

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4 years ago

A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x)=0.2x^

damaskus [11]

Answer:

The minimum average cost per dulcimer is 150 and the minimum cost is $180.

Step-by-step explanation:

The given cost function is

$C(x)=0.2x^2-0.6x+2.250$

Differentiate the function C(x) with respect to x.

$C'(x)=0.2(2x)-0.6(1)+(0)$

$C'(x)=0.4x-0.6$

Equate C'(x)=0, to find the critical values.

$C'(x)=0$

$0.4x-0.6=0$

$0.4x=0.6$

Divide both sides by 0.4.

$x=\frac{0.6}{0.4}$

$x=1.5$

Differentiate the function C'(x) with respect to x.

$C''(x)=0.4(1)$

$C''(x)=0.4$

At x=1.5

$C''(1.5)=0.4$

The value of double derivative is positive. It means the function is minimum at x=1.5 hundred.

1.5 hundred = 150

Substitute x=1.5 in the given function to find the minimum average cost.

$C(1.5)=0.2(1.5)^2-0.6(1.5)+2.250$

$C(1.5)=1.8$

The minimum cost is 1.8 hundred dollars.

1.8 hundred dollars = $180

Therefore, the minimum average cost per dulcimer is 150 and the minimum cost is $180.

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strojnjashka [21]

We don't really have to put this in slope intercept form; it would clearly end up as

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