Mike wants to buy a sleeping bag for a camping trip. He finds one that costs $52.75 with a 25% discount. How much will he pay for it?

Answers

Answer 1

Answer: If he gets a 25% discount, then he is basically buying the sleeping bag for 75% (75%=0.75) of the original price.

$52.75x0.75
=$39.5626
≈$39.56

(Since money only goes to the hundredths place it is rounded)

He will pay $39.56 for the sleeping bag.

Answer 2

Answer: 52. 75 * 0.25 = 13.19
52.75 - 13.19 = $39.56 is the amount he will pay.

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Lara constructed angle POQ and then used a compass and straightedge to accurately construct line segment OS, as shown in the figure below:Which could be the measures of angle POS and angle POQ?

Answers

The measures of angle POS and angle POQ will be 30° and 60° respectively.

How to calculate the angle?

From the information given, Lara constructed angle POQ and then used a compass and straightedge to accurately construct line segment OS.

The value of POS will be 30°. Therefore the value of POQ will be twice of POS which will be:

= 2 × 30°

= 60°

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Answer:

The answer is

m<POS= 30 degrees, m<POQ=60 degrees.

Step-by-step explanation:

What is y = (x-6)^2 - 2 in y = ax^2+bx+c form

Answers

easy, just expand
y=(x-6)^2-2
y=(x-6)(x-6)-2
y=x^2-6x-6x+36-2
y=x^2-12x+34
y=ax^2+bx+c
a=1
b=-12
c=34

y = (x - 6)² - 2
y = (x - 6)(x - 6) - 2
y = (x(x - 6) - 6(x - 6)) - 2
y = (x(x) - x(6) - 6(x) + 6(6)) - 2
y = (x² - 6x - 6x + 36) - 2
y = (x² - 12x + 36) - 2
y = x² - 12x + 36 - 2
y = x² - 12x + 34

How do I solve x over 6 + 4+15 ?

Answers

x/6 + 4 = 15

First, subtract 4 to both sides:

x/6 = 11

Now multiply 6 to both sides:

x = 66

$x/6+4=15 \n x/10=15 \n *10\ \ \ *10 \n x=150$

Help please 2y-5x=-1, x=2y+5

Answers

$\left\{\begin{array}{ccc}2y-5x=-1\nx=2y+5\end{array}\right\n\nsubstitute\n\n2y-5(2y+5)=-1\n2y-10y-25=-1\n-8y=-1+25\n-8y=24\ \ \ \ /:(-8)\ny=-3\n\nx=2\cdot(-3)+5=-6+5=-1\n\nSolution:x=-1;\ y=-3$

Which number line represents the solution set for this inequality?

−9x −12 ≤ 42

Answers

Number line 4 will represent the solution set of given inequality

−9x −12 ≤ 42.

What is inequality?

When two numbers or algebraic expressions are in opposition to one another, this is known as an inequality. It can be expressed as greater than, greater than or equal to, less than, or less than or equal to.

Given:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x ≤ 54

-9x/-9 ≤ 54/-9

x ≤ -6

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Answer:

Number line 4

Step-by-step explanation: