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2 years ago

15

Parallel perpendicular or neither

1 answer:

EleoNora [17]2 years ago

7 0

It should be perpendicular

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Before school, janine spends 1/10 hour making the bed, 1/5 hour getting dressed, and 1/2 hour eating breakfast. What fraction of

N76 [4]

4/5 of an hour spent

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3 years ago

A heart beat takes 0.8 second ,how many seconds is this writtin as a fraction

NeX [460]

The answer to your Question is 8/10 but if you simplify it the answer is 4/5.

5 0

3 years ago

Read 2 more answers

A business bought a lot of 2,500 lamps for 50,000 dollars and wants to sell them at 15 percent profit how much should each lamp

aev [14]

50,000 / 2500 = 20....he bought them for 20 bucks a piece. So if he wants to sell them at 15% profit, he would sell them for 20 + 0.15(20) = $ 23 bucks.

A 15% profit of 50,000 dollars is 0.15(50,000) = 7500. Plus the 50 grand spent totals 57500. So they want to make a $ 7500 profit. Selling 2500 lamps at $ 23 per lamp (2500 x 23 = 57500) makes them their profit.

I should just shut up now...answer is $ 23 per lamp

4 0

3 years ago

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $693 on props,

sergeinik [125]

Answer:

The total budget is $1260

Step-by-step explanation:

Given

$Props = \$693$

$Costumes = 45\%$

Required

Determine the total budget

Since all budgets was spent on Props and Costumes only.

We have that.

$\%Props + \%Costumes = 100\%$

$\%Props + 45\%= 100\%$

$\%Props= 100\% -45\%$

$\%Props= 55\%$

In other words, 55% was spent on Props

Let the total budget be x, we have:

$55\% * x = \$693$

Make x the subject

$x = \$693/55\%$

$x = \$1260$

Hence, the total budget is $1260

5 0

2 years ago