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2 years ago

14

A store is having a buy one get one 30% off sale. During the sale Christopher buys two pairs of shoes that each have a regular p

rice of 48$. How much does Christopher pay for the two pairs of shoes?

1 answer:

vlabodo [156]2 years ago

6 0

Answer: He paid $28.08.

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Simplify the following complex fraction.(3/7---1/3)2/3-----1/7

Yakvenalex [24]

Please retype this fraction. If by "---" you mean "subtraction," type 3/7-1/3.

Let's assume that the problem is as follows: (3/7-1/3)(2/3)-1/7;
first, find the LCD of 3/7 and 1/3 and then combine 3/7 and -1/3).
second, multiply your result by (2/3).
third, subtract 1/7 from your result.

If, however, your "---" and "-----" mean "division, then the above is all wrong.

If that's the case, then please retype your whole question.

You could express "the quotient of 2/3 and 1/6" as follows:

2
----
3

------------------------
1
-----
6

Is that what you meant?

Sorry to be picky, but it's very important that you express math properly.

4 0

3 years ago

Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

3 years ago

What is the correct graph of the function 2x - y = 2?

kolbaska11 [484]

Answer:

slope: 2 2. y-intercept: 2 2.

Step-by-step explanation:

Any line can be graphed using two points.

5 0

3 years ago

How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid?

tiny-mole [99]

My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution)
in simple terms: %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x) simplify/ distribute
0.6x + 12 = 25 +0.5x get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13 divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.

8 0

3 years ago

Read 2 more answers

6. Solve this inequality: j/4 -8 < 4.

Vaselesa [24]

Answer:

D

Step-by-step explanation:

Given

$\frac{j}{4}$ - 8 < 4 ( add 8 to both sides )

$\frac{j}{4}$ < 12

Multiply both sides by 4 to clear the fraction

j < 48 → D

6 0

3 years ago