These were the missing data:
They get a reduced rate if they rent 7 pairs of skis for every 3 snowboards rented the reduced ski rate is $45.50 per pair of skis per week, and the reduced snowboard rate is $110 per snowboard per week. the sales tax on each rental is 16%<span>The group has $2500 available to spend on ski and snowboard rentals. Why is the greatest number of pairs of skis and snowboards the group can rent if the ratio of pair of skis to snowboards is 7:3?
7 pairs of skis * 45.50 rent per pair = 318.50
3 snowboards * 110 rent per snowboard = 330
318.50 + 330 = 648.50
648.50 * 1.16 = 752.26
2500 / 752.26 = 3.32 or 3 sets of 7:3 ratio.
7 * 3 = 21
21 * 45.50 = 955.50
3 * 3 = 9
9 * 110 = 990
955.50 + 990 = 1,945.50
1,945.50 * 1.16 = 2,256.78 total cost
2,500 - 2,256.78 = 243.22 change
The group can rent 21 pairs of skis and 9 snowboards for only 2,256.78</span>
Let the number of coins = X
A nickel is 0.05
A dime is 0.10
A quarter is 0.25
Set up an equation to add all the coins together to equal the total she has:
0.05x + 0.10x + 0.25x = 2.00
Simplify:
0.40x = 2.00
Divide both sides by 0.40
x = 2.00 / 0.40
x = 5
Check:
Nickels = 0.50 x 5 = 0.25
Dimes = 0.10 x 5 = 0.50
Quarters = 0.25 x 5 = 1.25
0.25 + 0.50 + 1.25 = 2.00
She has 5 of each coin.
To write an equation to represent a given information, the equations are to
expresses the information conveyed in the situation.
The two equations that represent the given information are;
- <u>5.6·x + 4·y = 133.6</u>
Reasons:
The given information are;
Mass of the large boxes = 5.6 kg
Mass of the small boxes = 4 kg
Number of boxes delivered = 25 boxes
Total mass of the boxes delivered = 133.6 kg
Number of the 5.6 kg box delivered = x
Number of the 4 kg boxes delivered = y
Required:
To form two equations in terms of <em>x</em> and <em>y</em> to represent the situation.
Solution:
The two equations are;
- The number of boxes delivered = <u>x + y </u><u>= 25</u>
- Total weight of the boxes delivered = <u>5.6·x + 4·y </u><u>= 133.6</u>
<em>Solving the above equations with a graphing calculator gives;</em>
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Learn more about writing equations here:
brainly.com/question/15790322
Answer:
ln25 = 3.219
ln50 = 3.912
ln22.3 = 3.105
lne^3 = 3lne = 3
ln0.45 = -0.799
Step-by-step explanation:
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