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Scrat [10]
3 years ago
14

Last month Leonhard Euler's Watch kiosk at the mall had total sales of $9,489. Merchandise totaling $225 was returned. The goods

that were sold cost Leonhard Euler's $5,481. Operating expenses for the month were $992. What was the gross profit on sales?
Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0

Answer:

463 dollars                    

Step-by-step explanation:

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How many 3 letter codes are possible using a-j without repeats?
Dennis_Churaev [7]
There are 10 letters in the set {a, b, c, d, e, f, g, h, i, j} which is the pool of letters to choose from when making these three letter codes.

We have 10 choices for slot 1
Then 9 choices for slot 2. This is because we can't reuse the choice for slot 1
Then 8 choices for slot 3

Overall, there are 10*9*8 = 90*8 = 720 different permutations

Answer: 720

Note: you can use the nPr permutation formula with n = 10 and r = 3 to get the same answer
5 0
3 years ago
How many solutions exist for the given equation?
Tpy6a [65]

Answer:

infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

Distribute

12x + 1 = 12x + 3 - 2

Combine like terms

12x+1 = 12x +1

Subtract 12x from each side

1 =1

Since this is always true, we have infinite solutions

4 0
3 years ago
Read 2 more answers
What expression is this?
Vinvika [58]

Answer:

the 3rd choice po

ang sagot po

6 0
2 years ago
write an equation of the line containing the specified point and perpendicular to indicated line. (-5,6) 4x-y=3
Radda [10]
<h2>Greetings!</h2>

Answer:

y = \frac{1}{2}x + \frac{29}{4}

Step-by-step explanation:

First, we need to rearrange the equation to make it y = mx + c

4x - y = 3

y + 3 = 4x

y = 4x -3

So the slope of the line is 4.

The slope of a line perpendicular to an equation is:

\frac{-1}{gradient}

So the slope of the perpendicular line is:

\frac{-1}{4} = -0.25

Now to find the equation of a line you can use the following equation:

y - y₁ = m(x - x₁)

Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:

y₁ = 6

x₁ = -5

m = \frac{-1}{4}

y - 6 = \frac{-1}{4}(x - - 5)

To get rid of the fraction we need to multiply the whole equation by 4:

4y - 24 = -1(x - - 5)

The two negatives cancel out:

4y - 24 = -1(x + 5)

Multiply the brackets out:

4y - 24 = -x + 5

Now, to rearrange the formula back into y = mx + c

Move the -24 over to the other side making it a +24:

4y = 2x + 5 + 24

4y = 2x + 29

Divide everything by 4:

y = \frac{2}{4}x + \frac{29}{4}

y = \frac{1}{2}x + \frac{29}{4}


<h2>Hope this helps!</h2>
8 0
3 years ago
How do I work out this problem?
cluponka [151]
First we need to find ∡PRQ. To do this we can use the fact that the sum of the interior angles of a triangle is 180°:

180=R+P+Q
180=R+40+105
180=R+145
R=180-145
R=35

Now, we can use the fact that a strait line (like SRQ) is also 180°:
SRQ=180-R
SRQ=180-35
SRQ=145 °
4 0
3 years ago
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