Use your choice of equal values, substitution, or elimination to solve the
following System of Equations, and show your work.
i are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $3.00 and each soda costs $2.00. At the
end of the night you made a total of $213.00. You sold a total of 87 hot dogs
and sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold?

Answers

Answer 1

Answer:

For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.

3x+2y=213

x  + y =87

We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.

3x+2y=213

3(x+y=87) --> 3x+3y=261

Now we can eliminate x.

  3x+2y=213

-  3x+3y=261

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

        -y=-48  

Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.


Related Questions

Cathy is making bows from a ribbon that is 11 1/5 yards long. She needs to cut the ribbon into equal pieces that measure 2/5 yard to make each bow. How many bows can Cathy make? Sam solved the problem below but got it incorrect. Explain Sam's error.

Answers

Answer:

28 bows

Step-by-step explanation:

Each bow is an equal piece.

1 bow = 2/5 yard

Total yard of ribbon = 11 1/5 yards

Hence:

2/5 yard = 1 bow

11 1/5 yards = x

2/5x = 11 1/5

x = 11 1/5 ÷ 2/5

x = 56/5 ÷ 2/5

x = 56/5 × 5/2

x = 28 bows

Therefore, Cathy can make 28 bows

G G 2x+4y=12
Please explain it to me ​

Answers

Answer:

2×4=8 + 4 = 12 y stands firm you do the y part 2 times

heeeeeeeeeeelp pleaseeeeeeeeeeee

Answers

Answer

<2 = <4 = <6 = <8

All of those are 94 degrees

<1 = <3 = <5 + <7

All of those are 86 degrees

Hope this helps :D

What time is shown on this clock

Answers

Answer: around i believe 10:35

Step-by-step explanation:

Answer:

its 10:20

Step-by-step explanation:

Use the distributive property to write an equivalent expression for 21x - 14.

Answers

Answer:

7(3x−2)

Step-by-step explanation:

Remember to not round.

Answers

Answer:

Plsss question is not clear!!!!!

Answer:

1.65 km or 33/20 km per minute, 16.5 km or 33/2 km ( for the second question)

Step-by-step explanation:

There's 60 minutes in an hour, so just divide 99 by 60, then you'll get either 1.65 or 99/60 which is simplified to 33/20. And for the second question, multiply the answer from the first question by 10.

pls help me i don't get it and nobody answered

Answers

Answer: 1,200

Step-by-step explanation:

lets split it like this first

now lets start with the first one 15*20=300

now the second one 45*10=450

now the third one 35*10=350

now the last one 10*10 i think i caint see the one number=100

now add all them together= 1,200

hope this helped

If x=−1and y=−3, then 5(x2−7+y)=

Answers

Answer:

-60

Step-by-step explanation:

(plug in x= -1 and y= -3)

your equation will look like this-

5 ((-1)2-7+(-3))

solve using PEMDAS

A teacher is taking a group of students on a field trip to a living museum. The
cost of the teacher's ticket is $9. Student tickets cost $4. It costs $57 for
everyone to get into the museum. How many students were on the field trip?

Answers

12
because it says a teacher which is 9$ subtracted from 57$ which is 48$ divided by 4$ because each student is 4$ which is 12 students

The figure to the right has its Congruent segments marked. AB=__ meters

Answers

9514 1404 393

Answer:

  20 meters

Step-by-step explanation:

The single hash mark on AB matches the single hash mark on AC, so AB = AC. AC is marked as 20 meters, so AB is 20 meters.

Pls help it due ASAP
Please show workings also
.....

Answers

Answer: A

Step-by-step explanation:

The equation [tex]y=\frac{2}{3}x-1[/tex] is in slope-intercept form([tex]y=mx+b[/tex]).  For a line to be parallel to another, it must have the same slope.  The slope of the line given is 2/3.  Thus, simply plug in 2/3 for the slope to get: [tex]y=\frac{2}{3} x+b[/tex].  Then, because the line passes through -6, 6, plug those values in for x and y, respectively.  [tex]6=\frac{2}{3} *-6+b[/tex]

[tex]6=-4+b[/tex]

[tex]10=b[/tex]

Thus, the equation of the line is [tex]y = \frac{2}{3} x+10[/tex], or A

Hope it helps :D

A mathematics class consists of 55 boys and 65 girls .what is the ratio of girls to the total numbers of students? *
11:13
13:11
13:24
11:24



Answers

Answer:

I think it's maybe 11:55

Answer:

11:13

Step-by-step explanation:

Just simplify 55:65, by dividing by 5

Find the slope of the line that passes through (4, 1) and (10, 6).

Answers

Answer:

5/6

Step-by-step explanation:

The equation for slope is

(difference in y) / (difference in x)

So:

6-1/10-4

5/6

So the slope is 5/6

Marlena bought 1 2/3 pounds of French Roast coffee and 3 1/8 pounds of Columbian coffee and paid $31.25. Rowen bought 2 5/12 cups of French Roast coffee and 9/16 pounds of Columbian coffee and paid $15.15. Find the cost per pound of each type of coffee.

Answers

Answer:

$4.50 for French Roast

$7.60 for Columbian

Step-by-step explanation:

tried substitution and elimination method but got different answers to I graphed these equations and found the point of intersection

5/3x + 25/8y = 31.25

29/12x + 9/16y = 15.15

point of intersection (4.5, 7.6)

Answer:

Step-by-step explanation:

Thus Markus buy 3.19 pounds of coffee altogether.

1/4 of ... is 1/5

What is the ...

Answers

Answer:

4/5

Step-by-step explanation:

Just multiply 1/5 times 4, because that's the reciprocal of 1/4

Please help me ASAP!!!

Answers

The answer is B =0 and -2

Answer:

-2 and 0

Step-by-step explanation:

Check on the graph when the y = 0

[tex](\frac{1}{4} m^{2} n)^{3} * (-32m^{2}n)[/tex]

PLEASE PROVIDE AN EXPLANATION, I'M UNSURE OF HOW TO FIND THE ANSWER

Answers

Answer:

               [tex]\bold{(\frac14m^2n)^3*(-32m^2n)=-\frac12m^8n^4}[/tex]

Step-by-step explanation:

                                [tex](\frac14m^2n)^3*(-32m^2n)=\\\\=(\frac14)^3*(m^2)^3*n^3*(-32)*m^2*n=\\\\= \frac1{64}*m^{2\cdot3}*n^3*(-32)*m^2*n=\\\\= \frac1{64}*(-32)*m^{6}*m^2*n^3*n=\\\\=-\frac{32}{64}*m^{6+2}*n^{3+1}=\\\\=-\frac12m^8n^4[/tex]

While back-to-school shopping, you find two pairs of jeans that cost $29 each, three shirts that cost $16 each, and a pair of shoes for $21. What is the total cost of these items, if the store is offering a 30% discount?

Answers

Answer:

$88.9

Step-by-step explanation:

First, you have to calculate the total cost of the items by adding up the results of multiplying the price of each item for its quantity:

Total cost=(29*2)+(16*3)+21

Total cost=58+48+21

Total cost=127

Now, you have to calculate 30% of that total and subtract that amount from the total cost:

127*30%=$38.1

127-38.1=$88.9

According to this, the answer is that the total cost of these items is $88.9 if the store is offering a 30% discount.

what is 11^0 x 5x - 789

X=6

Answers

I think is -4729x I use symbolab

Answer:

-759

Step-by-step explanation:

Any number powered by 0 equals to 1, so the equation then becomes 1 × 5x - 789, but then x is 6, so it's 30 - 789, which is -759.

When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.

Answers

Answer:

R(t) = 10 + 0.50t

Step-by-step explanation:


Guys I need someone to solve this problem please it’s for test I’m stuck.

Answers

Answer:

[tex]2x + 18 = 15x + 33 - 8x \\ 2x + 18 = 7x + 33 \\ 2x - 7x = 33 - 18 \\ - 5x = 15 \\ x = - 3[/tex]

Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V2 and the aquarium in Kate's sitting room.
A. 1 units
B. √101
C. √221
D. 11 units

Answers

Answer:

V2 has more room than the Aquarium.

Step-by-step explanation:

Please Help 39 points Math

Answers

Step-by-step explanation:

f(n) = 3(2)^n = 3 * 2^n.

We can see here that 3 is a constant term.

When n = 0, f(0) = 3 * 2^0 = 3.

Hence, on the 1st day 3 leaves fell. (A)

When n = 1, f(1) = 3 * 2^1 = 6.

When n = 2, f(2) = 3 * 2^2 = 12.

Notice that the number of leaves that fell keep doubling.

Therefore the number of leaves that fell on a given day is 2 times the number of leaves that fell on the previous day. (D)

Haley sells apples from her apple orchard. Last week, she sold 516 apples. Of those apples, 107 or green apples and the rest were red apples. On Monday, Harry's sells 100 apples. Based on last week sales, white how many of the 100 apples she sells on Monday could be expecting to be green.

Answers

Answer: About 21 apples

Step-by-step explanation:

Number of apples sold last week = 516

Number of green apples = 107

Number of red apples = 516 - 107 = 409

Number of apples sold on Monday = 100

Number of apples expected to be green will be:

= 107/516 × 100

= 20.7

= 21 Approximately

13
y у
3
Х
4
What is y?

Answers

Y is 13 and X is 4 hope this helped

14 points help me please

Answers

Answer:

B. 0.8 meters

Step-by-step explanation:

Divide 2.4 by 3 and you will get 0.8

awnser photo quick please #8

Answers

68 is the answer
Xudjdjsifbdkzjzhdndjd yup

Question If Jim has 60 spoons and Jim has a friend named Jim that has 157 and has another friend named Jim with 537 spoons and pooled all their spoons together and Jim 1 took the spoons to a blacksmith to make small spoons by breaking the spoons to thirds and 27 spoons broke, Jim 1 had the blacksmith make a normal spoon from the remains which makes 3 normal spoons how many spoons do all the Jims have together and how many spoons do each Jim have individvally? I just thought of this on the spot so i dont know the answer anywho I need an answer cause i wanted to ask this to my friends and say the answer to seem smart lol

Answers

Step-by-step explanation:

Jim 1= 60 spoons

Jim 2= 157 spoons

Jim 3= 537 spoons

after Jim 1 took the spoons to the blacksmith he broke 27 spoons which means

Jim 1= 60-27 which leaves him with 33 spoons.

and now

Jim 1= 33 spoons

Jim 2= 157 spoons

Jim 3= 537 spoons

3 normal spoons outta 33 spoons which means he used 11 spoons per each spoon

and now

Jim 1= 3 spoons

Jim 2= 157 spoons

Jim 3= 537 spoons

so finally, all the Jims have 697 spoons in total.

a bit tuff...lol

have a great day mr/mrs. Jim creator :)

Simplify -4(2c+3) pleaseeeee

Answers

Answer:

-8c -12 =0

-8c = 12

c = - 12/8 = -3/2

The graph shows Victor's math scores versus the number of hours he studies: A graph titled Victors Math Scores shows Hours of Practice in a Week on x axis and Math Scores on y axis. The x axis scale is shown from 0 to 5 at increments of 1, and the y axis scale is shown from 0 to 50 at increments of 5.The ordered pairs 0, 5 and 0.5, 10 and 1, 16 and 1.5, 20 and 2, 27 and 2.5, 28 and 3, 35 and 3.5, 34 and 4, 44 and 4.5, 44 and 5, 48 are shown on the graph. A straight line joins the ordered pairs 0, 5 and 5, 50. What will Victor's math scores most likely be if he spends 7 hours a week studying math? 58 points 62 points 68 points 72 points

Answers

Answer:

68

Step-by-step explanation:

Because it's going up 15 every 2 hours so it would go from 50 to about 65 so 68.

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