You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night, you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?

A.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.

B.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 77 hot dogs and 49 sodas.

C.
2.25x + 1.50y = 126 and x + y = 225.75 : -283.5 hot dogs and 509.25 sodas.

D.
There is not enough information

Answer: Choice A

Step-by-step explanation: You are given the inequality g is less than or equal to. Greater/less than and equal to, you use solid circle. Greater/less than, you use open circle. From there, you just look at the inequality in which direction is it going at and from there, you should be able to select your choice which happens to be the first one.

I hope this explanation helps.

Best to you!

Answer:

C

Step-by-step explanation:

A provisional license holder under 18 may not drive without special permission between 5:01 am and 11:59 pm.

Answer:

[tex]2\frac{6}{7}[/tex]

Step-by-step explanation:

First you have to convert the mixed numbers to an improper fraction which first let's do the top so that would be: [tex]\frac{\frac{15}{2}}{2\frac{5}{8}}[/tex]

Next, lets do the bottom of that so that would become: [tex]\frac{\frac{15}{2}}{\frac{21}{8}}[/tex]

After that you have to apply the fraction rule [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex] so that would be: [tex]\frac{15\cdot \:8}{2\cdot \:21}[/tex]

Towards the end, you have to cancel out that equation so then it becomes: [tex]\frac{20}{7}[/tex]

Finally, you convert the improper fractions to mixed numbers so that is now: [tex]2\frac{6}{7}[/tex]

Have a great day!

After divide, the value in simplest form is, 20/7.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

⇒ 7 1/2 divided by 2 5/8

Now, Divide the numbers as;

⇒ 7 1/2 divided by 2 5/8

⇒ 15/2 ÷ 21/8

⇒ 15/2 × 8 / 21

⇒ 15×8 / 2×21

⇒ 5×4/7

⇒ 20 / 7

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Answer:

3

Step-by-step explanation:

20*.15=3

Answer:

4

2

3

Step-by-step explanation:

Answer:

4

2

3

Step-by-step explanation:

2+2=4

1+1=2

6-3=3

welcomeeee:)

Step-by-step explanation:

a cube has 6faces.

side = 60/6 = 10cm

volume = 1000cm³.

hope this helps you.

Answer:

5: 4

6: 20

7: $3.20

8: 92

9: 22

10: $11.60

Step-by-step explanation:

6. remove 3 from 83, you will have 80 and then divide by 4 = 20 students in a class.

7. Subtract 8.80 from 24.80, you will get 16 dollars. Do 16 ÷ 5 = 3.2 as the cost of each pencil.

9. 94- 6 = 88 so, 88 ÷ 4 = 22.

10. 13.40 -7.60 = 5.8 as his weekly allowance.

I hope it helps.

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

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Answer:

Step-by-step explanation:

across x axis:(-4,2)

across y-axis:(4,-2)

eat chili snacks and spicy to burn fat

Answer:

Step-by-step explanation:

You can easily convert 3 minutes into seconds using each unit definition:

Minutes

minute = 60 s = 60 s

Seconds

1 s

= 1 sec / 60 = 0.01667 min

With this information, you can calculate the quantity of seconds 3 minutes is equal to.

In 3 min there are 180 s.

Which is the same to say that 3 minutes is 180 seconds.

The sum of money that was  shared between the three friends is $8100

The ratio at which the money was shared = 7 : 9 : 11

Total ratio  = 7 + 9 + 11

Total ratio = 27

Amount received by Kerry-Ann = $3300

Let the total amount shared by the three friends be T

Amount received by Kerry-Ann = (11/27)  x  T

3300  =  11T / 27

11T  =  27(3300)

11T  =  89100

T   =  89100/11

T  =  8100

The sum of money that was  shared between the three friends is $8100

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Answer:

287

Step-by-step explanation:

Reflex angle:

an angle greater than 180° and less than 360°

360-73=287

Answer:9+(60x8)-120= 369

             80(50-24)+20= 126

Step-by-step explanation:

Answer:

e, 1/12

Step-by-step explanation:

1) turn the first fraction into a whole number, the closest whole number being 1.

what did you multiply 1/2 by to get 1? the answer would be 2.

whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.

therefore, the answer is 1/12

Answer:

x  = 18

Step-by-step explanation:

6 − x = −12

subtract 6 from both sides

- x = - 18

divide both sides by -1

x = 18

Answer:

x=18

Step-by-step explanation:

6 - x = -12

-6        -6

----------------

    -x = -18

*divide by -1*

 x = 18

hope this helps! :D

have a MIRACULOUS day!! <3

Given AP is -3 ,-1/2,2,..

First term = -3

Common difference = (-1/2)-(-3)

⇛d = (-1/2)+3

⇛d = (-1+6)/2

⇛ d = 5/2

We know that nth term = an = a+(n-1)d

11th term = (-3)+(11-1)(5/2)

⇛a 11 = -3+(10)(5/2)

⇛a 11 = -3+(5×5)

⇛a 11 = -3+25

⇛ a 11 = 22

11th term of the AP = 22.

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The 4th term of ap is 10 and the 11th term of it exceeds 4th term by 1 find the sum of 20 terms ....

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Answer:

2

Step-by-step explanation:

initial term = -3

common difference = .5

-3 + .5 for 11 times from 3 = positive 2

Answer: sorry no

Step-by-step explanation: sorry i dont want to explain it.

Answer:

im the Akash Shukla and Aap I will get them back to

Answer: A

Step-by-step explanation:

Subtract 12 from both sides:

y + 15 - 15 < 3 - 15

Simplify:

y < -12

Answer:

12,16,20,24,28,32,36,40 (continue to add 4)

Step-by-step explanation:

A function that represents the given sequence is f(n) = 4(2+n).

A sequence in which the difference between any two consecutive terms is the same is known as an arithmetic sequence.

Given that, Juan saves 12 in the first week of the year, and increases the amount each week by 4, therefore, the difference between the amount of any two consecutive weeks is 4.

Hence, it represents an arithmetic sequence with the first term a₁ = 12 and the common difference d = 4.

The nth term of an arithmetic sequence is given by:

aₙ = a₁ + (n-1)d

Substitute a₁ = 12 sand d = 4 into the above equation:

aₙ = 12 + (n-1)4

   = 12 +4n -4

   = 8 + 4n

   = 4(2+n)

Hence, a function that represents the given sequence is f(n) = 4(2+n).

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[tex]\text{Area of circle} = \pi r^2\\\\\implies 2 = \pi r^2\\\\\implies r^2 = \dfrac 2{\pi}\\\\\\\implies r = \sqrt{ \dfrac 2{\pi}} = 0.798~ \text{m.}[/tex]

Answer:

r≈.8m

Step-by-step explanation:

Formula used

A=πr2

r=√a/π =√2/π ≈.79788

rounded it is .8m

Answer:

25 disc for 12.50 is the most.

Step-by-step explanation:

You would have see how much each cost for one.

1. 10 for 5.99.

5.99 ÷ 10 is 0.599. So basically .60 cents.

2. 25 for 12.50.

12.50 ÷ 25 is 2. So basically 2 dollars per disc.

3. 50 for 18.75

18.75 ÷ 50 is 0.375. So basically .38 cent.

Now compare them.

1. 0.60

2. 2

3. 0.38

25 disc for 12.50 is the most.

Answer:

y = 47, -25 , 15 , -33 -9

Step-by-step explanation:

You have to plug the x variables into your equation, then solve for y.

Brainliest would be appreciated! :-)

Answer:

the x-axis is 0,1

the y -axis is -1, - 35

sorry if  im rong

Step-by-step explanation:

Answer:

look at explanation

Step-by-step explanation:

the first thing to do when graphing is to look at your y coordinate, the last number without a variable behind it. this would be (-1).

mark -1 on your graph, which should be one slot to the left of zero.

the slope (the number with the variable behind it) can be read as rise/run. turn -34 into a fraction by simply putting it over 1. this will give you -34/1.

your rise in this case would be -34, which means from -1, go down 34 slots and put a nother dot. your run(denominator in fraction) is where you move horizontally. since the run is 1, move over 1 spot from where your last dot is and that is your final plot. connect the first dot you made tot he third dot you made and you have officially graphed it.

Answer:

x = 8 - 4y

Step-by-step explanation:

16/2 = 8

8y/2 = 4y

The value of x of the expression is x = 8 - 4y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x = (1/2)(16 - 8y)

Removing the parenthesis.

x = 16/2 - 8y/2

x = 8 - 4y

Thus,

The value of x is 8 - 4y.

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Answer:

First ratio:4/3

Second:28/9

Answer:

+1/-1

Step-by-step explanation:

assuming the original phrase is  x^2

x^2 + 10 = 9

x^2 = 1

x = +/- 1