At a baseball game, a vender sold a combined total of 170 sodas and hot dogs. the number of hot dogs sold was 50 less than the number of sodas sold. find the number of sodas sold and the number of hot dogs sold

Answers

Answer 1

Answer:

Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.

x+y=170 (We know that soda + dogs is 170)

x-50=y (We know that dogs is equal to 50 less than sodas)

We can use substitution to solve this system of equations.

x+y=170

Sub in the value of y from the second equation

x+(x-50)=170

2x-50=170

2x=220

x=110

We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.

x+y=170

110+y=170

y=60

So, there were 60 hotdogs sold and 110 sodas sold.

Related Questions

Find the Difference 9,052-7,391
Why might someone choose to use the Y intercept in the slope to graph a line
How is interest similar to sales tax and markups? How is it different?
There are two green Skittles out of every five what percent are green
Little help please! I need the answer by 3/31/16

Factor the sum of terms as a product of the GCF and a sum of 20 + 64

Answers

its 4
the GCF of 20 and 64 is 4
(20 divided by 4) (64 divided by 4)

at the dog show, there are 4times as many boxers as spaniels. If there are a total of 30 dogs, how many dogs are spaniels?

Answers

Their are six spaniels

`there are 6 spaniels and 24 boxers.
-hope this helped

Volunteers at an animal shelter are building a rectangular dog run so that one shorter side of the rectangle is formed by the shelter building as shown. They plan to spend between $100 and $200 on fencing for the sides at a cost of $2.50 per ft. Write and solve a compound inequality to model the possible length of the dog run.

Answers

Answer:

20 ≤ L + W ≤ 40

Step-by-step explanation:

[answer is marked by ** symbol]

The perimeter (P) of a rectangle is given by the formula:

P = 2L + 2W

In this case, you want to spend between $100 and $200 on fencing, and the cost is $2.50 per foot. So, you can write the cost equation as:

Cost = 2.50 (2L + 2W)

Now, you want the cost to be between $100 and $200, which leads to a compound inequality:

$100 ≤ 2.50 (2L + 2W) ≤ $200

Now, divide each part of the compound inequality by 2.50 to isolate the expression (2L + 2W):

$100 / 2.50 ≤ 2L + 2W ≤ $200 / 2.50

40 ≤ 2L + 2W ≤ 80

Now, divide each part by 2 to find L + W:

**20 ≤ L + W ≤ 40

**This compound inequality models the possible length of the dog run. It states that the length plus the width of the dog run must be between 20 feet and 40 feet to stay within the budget of $100 to $200 for fencing.

Answer
Write and solve a compound inequality to model the possible length of the dog run.
The inequality to model the possible length of the dog run is;. 100 ≤ 2.50x ≥
200
And the possible length of the dog run is 80ft.
Minimum spending = $100
Maximum spending = $200
Cost per square feet = $2.50
let
× = possible number of square feet

Minimum spending = $100
Maximum spending = $200
Cost per square feet = $2.50
let
× = possible number of square feet
The inequality:
100 ≤ 2.50× ≥ 200
This means possible number of square feet constructed is greater than or equal to $100 or less than or equal to $200
solve:
100 < 2.50× ≥ 200
divide the inequality into 2
100 < 2.50x
× ≤ 100/2.5
× ≤40
the other part:
2.50x ≥ 200
× ≥ 200/2.50
× ≥ 80
Therefore,
the possible length of the dog leash is 80

This question is confusing me look at the screenshot pls help

Answers

Answer:

The answer is 7.1

Step-by-step explanation:

Yah 7.1 should be correct

What is 140 divided by 18 ??? someone please help

Answers

You can't do 140 divided by 18
or it will end up like this 7.77777777778

7.77777778 if you want you could put a line at the end and put 7.7^

Why do whole numbers with an exponent get bigger while fractions with an exponent get smaller.

Answers

Raising a whole number to a power means:

   Take (a number of things) a number of times, and then possibly
   take that big number of things a number of times again.

Raising a fraction to an exponent means:

   Take a piece of (a piece of one thing), and then possibly
      take just a piece of that smaller piece.

Other Questions

24 red marbles is 40% of ____ marbles

100 POINT QUESTION!!Tamika opens a credit card in which the minimum monthly payment is 15%. Her current balance is $2,450, not including the finance charge, and the APR is 20.5%. Assuming she makes a payment of $400 this month, how much will the minimum monthly payment be for the next month?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y < 4x − 8y is greater than or equal to negative 5 over 2 times x plus 5Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically. (4 points)

1/2x + x + 1/5y + y = 32