During a football game, the parents of the football players sell pretzels and popcorn to raise money for new uniforms. They charge $2.50 for a bag of popcorn and $2 for a pretzel. The parents collect $336 in sales during the game. They sell twice as many bags of popcorn as pretzels. How many bags of popcorn and pretzels do they sell?

Answers

Answer 1

2.5x + 2y = 336

x = 2y

2 equations, 2 unknowns, solvable

3.5x = 336

7x = 672

x = 672 / 7

x = 96

96 / 2 = y

y = 48

they sold 96 popcorn bags and 48 pretzels


Related Questions

Factor each expression. 81y + 54

Answers

your answer is....

27(3y+2)

=
Гу
Which function represents g(x), a reflection of f(x) = {
(3) across the y-axis?
90
f
4
2
1
O g(x) = 2(3)
O g(x) = -2(3x
o g(x) = {(3*
O g(x) = 2(3)*
-2
-3
Next
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Mark this and return

Answers

Answer:

4th answer I believe

hope this helps

John is planning for retirement and wants to have an interest income of $3000 a year. How much Must he invest for one year at 8% interest

Answers

Answer:

240

Step-by-step explanation:

All of the following are equivalent, except _____.


2 x + x

x(2 + 1)

3 x

2 x²

Answers

2x^2

All the others sum to 3x

Can’t get an x^2 as you are only expanding and/or collecting like terms.

proportions in similar triangles. need help

Answers

Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally:

  (6x -1)/42 = (10x +5)/78

  13(6x -1) = 7(10x +5) . . . . multiply by 546 (the LCM of 42 and 78)

  78x -13 = 70x +35 . . . . . eliminate parentheses

  8x = 48 . . . . . . . . . . . . . . add 13-70x

  x = 6 . . . . . . . . . . . divide by 8

_____

Additional comment

The unknown segment lengths are ...

  6·6 -1 = 35

  10·6 +5 = 65

Then the ratios to the known sides are ...

  35/42 = 65/78 = 5/6

please help with a full explanation at the bottom i’ll mark brainliest

Answers

Answer:

240 employees or A

Step-by-step explanation:

12 employees : 2 instructors

or 6:1

so there are 40 instructor

so 6*40 equals 240 employees

If a local coffee shop serves 12 customers in 36 minutes, how fast does it serve its customers?

A. 1 minute per customer
B. 2 minutes per customer
C. 3 minutes per customer
D. 2.5 minutes per customer

Answers

Answer: 3 minutes per customer

Explanation: Divide the 36 minutes by 12 customers served. This gives you 3 minutes spent on each customer.

Which 2 numbers have a mean of 10 and a range of 4?

Answers

Answer:

12 and 8

Step-by-step explanation:

basic knowledge of math i guess

hope that helps love

Write the equation in Slope-Intercept form of the line that goes through the point
(3, 12) and has a Slope of 5.

Could someone help me with this please

Answers

Answer:

y = 5x + 12

Step-by-step explanation:

Finding Conterminal Angels:

Answers

Answer:

106°

Explanation:

(360*3) -974 = 106°

Endless extra value's:

Positive coterminal angles: 106°, 466°, 826°, 1186°, 1546°...

Negative coterminal angles: -254°, -614°, -974°, -1334°...

But here the range is only from 0° ≤ ∅ < 360°, so only 106° is applicable.

Someone, please help

and instead of 10yd its 30yd
and instead of 20yd its 60yd

Answers

129 FT of fencing is required for the problem

Simplify to a single power of 6:

Answers

Answer:

6^2

Step-by-step explanation:

When they are divided, just subtract the exponents. 5 - 3 = 2

Please help FACTORING POLYNOMIALS USING GCF like can you at least explain how to

Answers

Answer:

HOW TO:

GIVEN A POLYNOMIAL EXPRESSION, FACTOR OUT THE GREATEST COMMON FACTOR.

Identify the GCF of the coefficients.Identify the GCF of the variables.Combine to find the GCF of the expression.Determine what the GCF needs to be multiplied by to obtain each term in the expression.Write the factored expression as the product of the GCF and the sum of the terms we need to multiply by.

8 A circle passes through the points (0, 2) and (0,8) and its centre lies on the line
x=4.
Draw a sketch and find the equation of the circle.

Answers

Step-by-step explanation:

A circle that passes through point 0,2 and (0,8) and has a center that lies on x=4 is what given.

So we know is center (4,p) for some number p,

Since the points on circumference of the circle have the same x value, then we know that the y coordinate of the center must be the midpoint of the circumferences' y coordinates.

Why?

A circle is not a function since it doesn't pass the vertical line test. And the standard form of a circle is

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

With center (0,0).

Consider the equation

[tex] {x}^{2} + {y}^{2} = 9[/tex]

The radius is 3 so two points with x coordinate 0 is

(0,3) and (0,-3). And the midpoint of them is (0,0) which is the center. Which is the defining trait of all circles.

Now, back on hand, our the midpoint of 2 and 8 is 5 so our center is

(4,5).

Now, we must find the radius. We use distance formula.

For (4,5) and (0,8).

[tex]d = \sqrt{(8 - 5) {}^{2} + ({0 - 4) {}^{2} } } [/tex]

[tex]d = \sqrt{3 {}^{2} + {4}^{2} } [/tex]

[tex]d = \sqrt{25} [/tex]

[tex]d = 5[/tex]

So our radius is 5.

So now we use the equation of center h,k.

[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

H is 4

K is 5

[tex](x - 4) {}^{2} + (y - 5) {}^{2} = 25[/tex]

Above is sketch of graph.

A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. The rest is blueberry juice. How much of each ingredient will be necessary to make the smoothies?
I NEED A STEP BY STEP

Answers

8-4-1.3=2.7
2.7 is the amount of blueberry juice used for one 8 ounce fruit smoothies so to get ten of them you multiply by 10
So 2.7x10=27 ounces of blueberry juice
1.3x10=13 ounces of banana flavoring
4x10=40 ounces of soy milk
Hope that helped

your friend solved the equation 4x+24-2=7(4x+2) and got x=16. what error did your friend make? what is the correct solution?

Answers

Answer:

the correct answer is 3

Step-by-step explanation:

4x+24-2=7(4x+2)

4x+22=7*4x+2*7

4x+22=28x+14

4x-28x=14-22

-24x=-8

24x=8

x=3

How much would it cost for Mr. John to replace the tile in his kitchen if the cost for the tile is $1.50 per square foot? (Think about what shape the kitchen is to find the area of it)

Answers

Answer:

214.50

Step-by-step explanation:

A = lw

13 x 11 = 143 (13 is a guess)

143 x 1.50 = 214.50

im not 100 % but give it a try

hope this helps

pls mark brainliest

What is the solution to the system of equations below?

Answers

Answer:

(9,3)

Step-by-step explanation:

Answer:

x=9,y=3

Step-by-step explanation:

Which model represents this word problem?


Pablo read 7 pages of his book. There are 13 pages left. How many total pages are in his book?


HELPP IM TRYING TO HELP MY FRIEND !! :((((
i think its the first one but im scared to hit it

Answers

it is the first one

Step-by-step explanation:

because I used my brain and its correct

Answer:

the first one is correct i believe

Please help! Explain the best you can! :) Thanks!

Answers

Answer:

55°

Step-by-step explanation:

x+x-20=90[Complementary angle]

or, 2x-20=90

or, 2x=90+20

or, 2x=110

or, x=110/2

x=55°

Help on Math I need answers As soon as possible if you can :) I will add you to brainlist thingy

Answers

Answer:

[tex]-5°F, 0°F, 2°F , 5°F , \\ 13°F, 20°F[/tex]

Hope it helps you<3

Fiona recorded the number of miles she biked each day last week as shown below. 4, 7, 4, 10, 5 The mean is given by m = 6. Which equation shows the variance for the number of miles Fiona biked last week? s squared = StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 6 EndFraction Sigma = StartRoot StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 5 EndFraction EndRoot s = StartRoot StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 4 EndFraction EndRoot Sigma squared = StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 5 EndFraction.

Answers

Variance is average of squared error of observations from mean. The variance of given data is 5.2

How to calculate variance of a given data set?

Variance is average of squared error of observations from mean.

If the data set is composed of n elements,its ith element is [tex]x_i[/tex] , and mean of the data set is [tex]\overline{x}[/tex] ,

then its variance is given as:

[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2[/tex]

The given data set is 4,7,4,10,5

Thus, n = 5 (total 5 observations (data values) )

Their mean is [tex]\overline{x} = 6[/tex] (it is taken as 'm', but for ease with formula, take it as [tex]\overline{x}[/tex] )

Thus, their variance is calculated as:

[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2 \\\\\sigma^2 = \dfrac{(4-6)^2 + (7-6)^2 + (4-6)^2 + (10-6)^2 +(5 - 6)^2}{5} \\\\\sigma^2 = \dfrac{4 + 1 + 4 + 16 + 1}{5} = \dfrac{26}{5} = 5.2[/tex]


Thus,

The variance of given data is 5.2

Learn more about variance here:

https://brainly.com/question/3699980

Answer:

d

Step-by-step explanation:

Pleaseee help me solve this and show work

Answers

Answer:

x

Step-by-step explanation:

The greatest common factor is x. This is the biggest term that each term can be divided by.

please I need help!!!!

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Slope: m

(-3,1) and (3,3)

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1}{3-(-3)} =\frac{2}{6}=\frac{1}{3}[/tex]

Hope this helps!

Divide using long division
pls show work
4x^3+8x^2-9x+18/2x+3

Answers

there you go the steps and then the solution

PLEASE ANSWER FOR MY SISTER​

Answers

Answer:

3/5 < 3/3

Step-by-step explanation:

3/3 = 1 whole (1)

3/5 = 0.6

The equation for the pH of a substance is pH = –log[H ], where H is the concentration of hydrogen ions. Which equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7. 2?.

Answers

Equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

What is pH value?

The pH value is the measurement of the water, as it is acidic or basic in nature and amount of it. If the value of pH value is more than 7, the water is basic in nature and if less than 7, the water is acidic.

Given information-

The equation for the pH of a substance is,

[tex]pH = -\log[H^+ ],[/tex]

Here, [tex]H[/tex]hydrogen ions.

The pH value of the solution is 7.2.

The pH value of the solution is given, and the concentration of hydrogen ions has to be find out (in equation model form).

The given equation for pH of the substance is,

[tex]pH = -\log[H^+ ],[/tex]

It can be written as,

[tex]-pH = \log[H^+ ],[/tex]

The pH value of the solution is 7.2. Put the value as,

[tex]-7.2 = \log[H^+ ][/tex]

Rewrite the above equation as,

[tex]\log[H^+ ]=-7.2[/tex]

Using the log property the, above equation can be written as,

[tex][H^+ ]=10^{-7.2}[/tex]

Solve it further as,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

[tex][H^+ ]=6.3095\times10^{-8}[/tex]

Thus, equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

Learn more about the pH value here;

https://brainly.com/question/1810086

The Stewart family is building a circular swimming pool. If the radius of the pool is 10 feet, What is its circumference?
Use π = 3.14 to solve.

Answers

Answer:

62.83

Step-by-step explanation:

C=2πr=2·π·10≈62.83185ft

Anyone know how to solve this. I got 4 but wasn’t correct

Answers

Answer:

12

Step-by-step explanation:

a boy standing on a vertical cliff, 50m high is looking down an angle of depression of 20° at a car. How far is the car from the base from the cliff?

Can someone please help me, it's due in 30 mins ​

Answers

Answer:

explanation is in the diagram

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