STUGO sells hot chocolate and coffee at the high school football games.
At the last game, they had sales of $200. They need to keep track of how
many of each type of drink was sold so that they can make predictions for
future sales. Mrs. Mendoza knows that they used 275 cups that night. If
the hot chocolate sells for 75 cents and coffee sells for 50 cents, how
much of each type of drink were sold?

Answer:

x = [tex]\frac{11}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] = [tex]\frac{x-1}{4}[/tex] ( cross- multiply )

3(x - 1) = 8

3x - 3 = 8 ( add 3 to both sides )

3x = 11 ( divide both sides by 3 )

x = [tex]\frac{11}{3}[/tex]

Answer: Answer is in the steps

Step-by-step explanation:

If the system of equations have the same slope and same y-intercepts then it means that they have infinitely many solutions.

if the system of equations have the same slope but different y-intercepts it means that they have no solution because they will never intersect but will always form parallel lines.

If the system of equations have different slopes and different y-intercepts or have same y-intercepts and different slopes it means that they have exactly on solution.

Answer:

For Khan: A-Only (2,5)

Step-by-step explanation:

Answer:

-5.5

Step-by-step explanation:

Answer:

The answer is noncollinear

Step-by-step explanation:

Answer:

Non-collinear because the points dont line up to be colinnear. learned this today dead a** its not hard. pay attention

Step-by-step explanation:

First, divide.

24 / 10 = $2.40 per chicken wing

Second, multiply.

17 * 2.4 = $40.80

Best of Luck!

Answer: two-column

Step-by-step explanation:

Answer:

two-column proof

Step-by-step explanation:

quizlet

Answer:

  180

Step-by-step explanation:

2 1/4 ft = 9/4 ft, so is a length equivalent to 9 cubes.

1 ft = 4/4 ft, so is a length equivalent to 4 cubes.

1 1/4 ft = 5/4 ft, so is a length equivalent to 5 cubes.

Then the volume of the prism is ...

  V = LWH

  V = (9)(4)(5) = 180 . . . cubes

Answer:

x= -1/3 or -2

Step-by-step explanation:

3x^2 +3x= -2x +2-4

3x^2 + 5x +2=0

by factorization method

3x(x+2) 1(x+2)=0

(3x+1)(x+2)

Answer:

x3(x+1)= –2(x-1)–4

3x^2+3x=–2x+2-4

3x^2+3x+2x=2-4

3x^2+5x=–2

3x^2+5x+2=0

3x^2+3x+2x+2=0

3x(x+1)2(x+1)=0

(3x+2)(x+1)=0

3x+2=0 or x+1=0

3x=–2 or x=–1

x=–2/3 or –1

Step-by-step explanation:

–remove brackets by multiplication

–form a quadratic equation

–and then solve either by means of quadratic formula or factorisation method

Answer:

20/3

Step-by-step explanation:

5/k=15/20

5/k=3/4

5 x 4/3 = k

k=20/3

Answer:

If you need to evaluate the equation, the answer would be x=19/16.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Since gaining fourteen pounds means going in a positive direction, we can say the gain of fourteen pounds numerically as 14.

Answer:

the top one

Step-by-step explanation:

one input cannot have more than one output

Answer:

Peter walks at a rate of 13/4 miles per hour.

Step-by-step explanation:

Peter walks at a rate of 13/4 miles per hour because every hour, represented by x, he walks 3.25 hours or 13/4. y is the total miles he walked so if he walks two hours the y would equal 6.5 or 26/4 and the x would equal 2.

The value of x in the expression will be 100.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that FG = (2x) meters, GH = 1,000 meters, and FH = 1,200 meters,

The value of x will be calculated by making an equation for the line segment below:-

FG + GH = FH

2X+1000=1200

2X = 1200 - 1000

2X = 200

X = 100 meters

2X + 1000= 1200

Therefore, the value of x in the expression will be 100.

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Answer:

x=11.5

Step-by-step explanation:

2x+8=-15

x=-23/2

x=-11.5

Answer:

= -11.5

Step-by-step explanation:

2x + 8 = - 15

2x = -15-8

2x = - 23

divide both sideby 2

2x = -23

2 2

x = -11.5

Answer:8

Step-by-step explanation: she makes $100 a day so you would subtract that from the total (276) then you would divide the remainder (176) by the amount she makes an hour (22) then you would end up with 8 hours

Answer:

8 hours

Step-by-step explanation:

For $22=1 hour

For $1=1/22 hours

For $176=176/22 hours=8 hours

And she gets also $100 extra

So for $276 she works 8 hours.

Answer:

-3,5,-10,16

Step-by-step explanation:

Answer:

12¢

Step-by-step explanation:

Let the unit price of a pencil be x and the unit price of a pen be y.

2x+3y=78¢

3x+2y=72¢

(2x)+3y=78¢

(3x)+2y=72¢

=2x=78¢-3y

=2x/2=78¢/2+3y/2

=x=36¢-1.5y

You then use the equation 3x+2y=72¢.

3(36¢-1.5y)+2y=72¢

=117¢-4.5y+2y=72¢

=117¢-72¢=4.5y-2y

=45¢=2.5y

=45¢/2.5=y

=18¢=y

So a pen costs 18¢.

You then use x=36¢-1.5y

x=36¢-1.5(18¢)

=x=36¢-27¢

=x=12¢

Therefore, a pencil costs 12¢.

Answer:

Frank earns $200.

His dad earns $800.

Step-by-step explanation:

Giving the following information:

His dad makes 4 times as much money as him each week. Each week their income adds up to 1.000 dollars.

We know that:

x= Franks income

4x= Dads income

y= total income

y= x + 4x

1,000= 5x

1,000/5=x

200=x

Frank earns $200.

His dad earns $800.

Answer: No it is closer to 9/11

Step-by-step explanation:

Answer: It is closer to 9/11

Step-by-step explanation: 41/50 in decimal form is 0.82.

9/11 in decimal form is 0.8181, which rounds up to 0.82

10/11 in decimal for is 0.9090, which rounds up to 0.91.

So,

41/50 = 0.82

9/11 =0.8181 OR 0.82

10/11 = 0.9090 OR 0.91      

Answer:

y=12x/5

x=5y/12

Step-by-step explanation:

y:3x-y=4

y=4(3x-y)

because if there is divide sign if it will go to another side it will be multiply

y=12x-4y

y+4y=12x

5y=12x

y=12x/5

or, x=5y/12

Hope it is helpful for you

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Answer:

The answer is

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

[tex]y - y_{1} = m(x - x _{1})[/tex]

where

m is the slope

( x1 , y1) is the point

From the question

The point is (6, 8) and

slope - 2

The equation of the line is

[tex]y - 8 = - 2(x - 6) \\ y - 8 = - 2x + 12 \\ y = - 2x + 12 + 8[/tex]

We have the final answer as

Hope this helps you

Answer:

C on edge

Step-by-step explanation:

just took the quiz

Answer:

I think a spinner is not a type of probability model.

I am not sure tho

Option (c) A spinner is not a probability model

A probability model is a mathematical representation of a random phenomenon.

Here,

In systematic list, the outcomes for an event can be listed in an organized or systematic way to make sure that none of the possible outcomes is missed out.

In area model, area models can be used to represent simple probabilities.

A probability tree diagram is used to represent the probability of occurrence of events without using complicated formulas.

But spinner is not a probability model.

Hence, option (D) Spinner is not a probability model

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Step-by-step explanation:

Angle A = 4x + 12 = 4(15) + 12 = 72°.

Acute is for angles that are less than 90°.

Obtuse is for angles that are between 90° and 180°, not inclusive.

Right is for angles that are 90°

Hence the answer is acute.

The angle is an acute angle

An acute angle is an angle that is less than 90 degrees

An obtuse angle is an angle that is greater than 90 degrees and less than 180 degrees

In order to determine which type of angle it is, solve for angle A

4x + 12

4(15) + 12

60 + 12 = 72

The angle is acute because it is less than 90 degrees

Please check the attached image for an image of an acute angle

To learn more about acute angles, please check: https://brainly.com/question/4022946?referrer=searchResults

Answer:

-13

Step-by-step explanation:

Answer:

Step-by-step explanation:

it is given by the formula=4× 90/ n

where n = number of sides

exterior angle= 4 x 90/13

=360/13=[tex]27.7[/tex]°