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user100 [1]
2 years ago
10

A restaurant earns $1445 on Friday and $1624 on Saturday. Write and solve an equation to find the amount xx (in dollars) the res

taurant needs to earn on Sunday to average $1500 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day.
Mathematics
1 answer:
Gennadij [26K]2 years ago
5 0
Total earned Friday = $1445
Total earned Saturday = $1624
Earnings Sunday - $xxx

Average over 3 day period = $1500
Therefor total over 3 day = $1500 x 3 = $4500
So earnigs friday + Saturday = $1445 + $1624 = $3069
                                                   $4500 - $3069 = $1431 earned on Sunday
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valina [46]

Answer:

\boxed{AC = 2.3}

Step-by-step explanation:

AD = BD  (CD bisects AB means that it divides the line into two equal parts)

So,

AD = BD = AB/2

So,

AD = 3/2

AD = 1.5

<u><em>Now, Finding AC using Pythagorean Theorem:</em></u>

c^2 = a^2+b^2

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)

AC^2= (1.5)^2+(\sqrt{3} )^2

AC^2 = 2.25 + 3

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Taking sqrt on both sides

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3 0
2 years ago
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Select the two statements that are true about the equation y−56=4(x+5)y-56=4(x+5).
Sergio [31]

The correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Step-by-step explanation:

Given equation is:

y-56=4(x+5)

The slope-intercept form is:

y-y_1=m(x-x_1)

Comparing both equations we get

m = 4

y-56=y-y_1\\y_1 = 56\\x+5 = x-x_1\\x_1=-5

The point is (-5,56)

So, the correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Keywords: Point-slope form, Slope

Learn more about point-slope form at:

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6 0
2 years ago
Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.
meriva

Answer:

Option (B)

Step-by-step explanation:

x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5

           - (<u>x³ +   x²  -  x</u>)

                      5x² + x + 5

                    -(<u>5x² + 5x - 5)</u>

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Result : x+5+\frac{-4x+10}{(x^{2}+x-1)}

By the comparing the result with the Lorie's solution,

She made a mistake in the last step in which she combined the constant incorrectly.

Therefore, Option (B) will be the answer.

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2 years ago
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