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3 years ago

On Friday, a local hamburger shop sold a combined total of 252

Mathematics

2 answers:

Crank3 years ago

8 0

Answer: 84 hamburgers were sold on Friday.

Step-by-step explanation:

Let be "x" the number of hamburguers sold on Friday.

Knowing that the number of cheeseburgers sold was two times the number of hamburgers sold, this can be represented with:

$y=2x$

Then, we can write the following expression:

$x+y=252$

Substituting $y=2x$ :

$x+2x=252$

And finally solving for x:

$3x=252\\\\x=\frac{252}{3}\\\\x=84$

So, 84 hamburgers were sold on Friday.

expeople1 [14]3 years ago

8 0

Answer:

84 hamburgers

Step-by-step explanation:

We are given that a total of 252 hamburgers and cheeseburgers were sold at a shop.

Given that the number of cheeseburgers sold was two times the number of hamburgers sold, we are to find the number of hamburgers sold.

Assuming $x$ to be the number of hamburgers and $y$ yo be the number of cheeseburgers:

$x+y=252$

Cheeseburgers = 2 (hamburgers)

$y=2x$

$x+2x=252$

$3x=252$

$x=84$

Therefore, 84 hamburgers were sold on Friday.

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Tell whether the lines through the given points are parallel, perpendicular, or neither?

Paha777 [63]

$Slope\,\,1=\frac{-1}{slope\,\,2}$

So, Both lines are perpendicular

Step-by-step explanation:

We need to identify if lines:

Line 1: (8,12)(7,-5)

Line 2: (-9,3)(8,2)

are parallel, perpendicular, or neither?

Lines are parallel if they have same slopes i.e slope 1= slope2
Lines are perpendicular if their slopes are negative inverses of each other i.e slope 1= -1/slope 2

The formula used to find slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Finding Slope of Line 1:

The points are: Line 1: (8,12)(7,-5)

$x_1=8, y_1=12, x_2=7,y_2=-5$

Putting values in the formula:

$Slope\,\,1=\frac{y_2-y_1}{x_2-x_1}$

$Slope\,\,1=\frac{-5-(12)}{7-8}$

$Slope\,\,1=\frac{-5-12}{-1}$

$Slope\,\,1=\frac{-17}{-1}$

$Slope\,\,1=17$

So, Slope of line 1 is 17

Finding Slope of Line 2:

The points are: Line 2: (-9,3)(8,2)

$x_1=-9, y_1=3, x_2=8,y_2=2$

Putting values in the formula:

$Slope\,\,2=\frac{y_2-y_1}{x_2-x_1}$

$Slope\,\,2=\frac{2-(3)}{8-(-9)}$

$Slope\,\,2=\frac{2-3}{8+9}$

$Slope\,\,2=\frac{-1}{17}$

So, Slope of line 2 is $\frac{-1}{17}$

Since $Slope\,\,1=\frac{-1}{slope\,\,2}$

So, Both lines are perpendicular

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3 years ago

Please help me with 2-10 thank you in advance

Romashka [77]

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3 years ago

By a factor of 0.5 1 1.5 or 2

geniusboy [140]

Answer:

it is a horizontal stretch by 2.

Step-by-step explanation:

AB=3-1=2

A'B'=6-2=4

$\frac{A'B'}{AB} =\frac{4}{2} =2\\A'B'=2(AB)$

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3 years ago

If tanx=-4/3 and x is in quadrant 2 then cos2x=? A. 7/25 b. -3/5 c. -7/25 d. 3/5

sweet-ann [11.9K]

= (1 - tan^2 (x)) / (1 + tan^2 (x))

= (1 - (-4/3)^2) / (1 + (-4/3)^2)

= (1 - (16/9)) / (1 + (16/9))

= (9 - 16) / (9 + 16) [By multiplying numerator and denominator with 9]

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3 years ago

What is the value of x? Please Answer

DerKrebs [107]

The value of x would be 15 degrees.

This is a right angle and right angles are 90 degrees in total.

90-30= 60

We know that the missing part of the angle equals 60 degrees so we divide 60 by 4x.

60/4x=15.

I hope that was clear enough, sorry if it’s not. Have a great day and good luck!

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3 years ago