![bsweeney3328](/avatars/6099.jpg)
bsweeney3328
12.03.2021 •
Mathematics
2. Susan borrowed $2,500 to start
a business. She earned an
average of $200 per week for the
first 8 weeks. After that, her
earnings averaged $600 per
week for the next 9 weeks.
Susan's balance, y, in any week,
x, is equal to her total earnings
minus the amount she borrowed.
Choose as few quadrants as
possible to create a graph of
Susan's balance over the first 17
weeks.
A. Quadrant 4 C. Quadrant 2
B. Quadrant 3 D. Quadrant 1
Solved
Show answers
More tips
- H Health and Medicine How Much Does Abortion Cost? Expert Answers and Insights...
- S Sport How to Build Arm Muscles? Effective Exercises and Tips...
- H Health and Medicine When can it be said that a person has a normal pulse?...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
Answers on questions: Mathematics
- M Mathematics Which coordintae grid shows the correct locations of P (1, 2.5), point Q, which is a reflection of point P accross the y-axis, and R (2, -2.5)...
- M Mathematics 1. If a is an odd integer, then a2 + 3a + 5 is odd. 2. Proposition. Suppose a, b ∈ Z. If a|b then a |b.3. Proposition. If n ∈ Z, then 5n2 + 3n + 7 is odd....
- M Mathematics You are a human resources manager sorting through data for a report on employee satisfaction. Several employees you interviewed mentioned they were experiencing neck and...
- M Mathematics Let f : (0, 1) → R be a continuous function such that limx→0 f(x) = limx→1 f(x) = 0. Show that f achieves either an absolute minimum or an absolute maximum on (0, 1) (but...
- M Mathematics If x is an integer, and it satisfies the inequalities 7y 49 and 3y≥ -9. Find all the possible values of y....
- M Mathematics Find the equation of the line passing through the points (3, 3) and (4, 5). y = [? ]x + [...
- M Mathematics What is the equation of the graph below?...
- M Mathematics Which of the following pairs of functions are inverses of each other? A. F(x)-6(4/x)-12 and g(x)-x/24 +12 B. f(x)=5(x/4) -3 and g(x) -4(x+3)/5 C. f(x) = x-2/7+8 and g(x)...
- M Mathematics Mr.Green works at an advertising agency. He has a marketing budget of $2500 to pay for television and newspaper and advertising. Television costs $100 per minute and newspaper...
- M Mathematics Rtc =10DtR = 20D+C = 24DAR+C?ees...
Ответ:
b)
x = 3 hotdogs
y = 7 hamburgers
Step-by-step explanation:
Steve went to the concession stand and bought hamburgers and hot dogs for the kids he brought to watch a baseball game. Each child chose either one hamburger or one hotdog. Hot dogs cost $1.50 each and hamburgers cost $2.75 each. Steve spent a total of $23.75 on 10 kids.
(a) Could Steve have bought an equal amount of hamburgers and hot dogs? Justify your answer.
An
(b) If x represents the number of hotdogs purchased and y represents the number of hamburgers purchased, write a system of equations that models this situation and determine the number of both items bought.
Let:
x = the number of hotdogs purchased y = the number of hamburgers purchased
Since the number of kids = 10
Our system for Equation is given as:
x + y = 10 Equation 1
x = 10 - y
x × $1.50 + y × $2.75 = $23.75
1.5x + 2.75y = 23.75
Let us substitute 10 - y for x in Equation 2
1.5(10 - y) + 2.75 = 23.75
15 - 1.5y + 2.75y = 23.75
- 1.5y + 2.75y = 23.75 - 15
1.25y = 8.75
y = 8.75/1.25
y = 7 hamburgers
Solving for x
x = 10 - y
x = 10 - 7
x = 3 hotdogs
Therefore,
x = 3 hotdogs
y = 7 hamburgers