Answer:
24 quarters and 49 nickels
Step-by-step explanation:
This situation has two unknowns - the total number of nickels and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- n+q=73 is an equation representing the total number of coins
- 0.05n+0.25q=8.45 is an equation representing the total value in money based on the number of coin. 0.05 and 0.25 come from the value of a nickel and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get n=73-q. We now substitute this for n in the second equation.
0.05(73-q)+0.25q=8.45
3.65-0.05q+0.25q=8.45
3.65+0.20q=8.45
After simplifying, we subtract 3.65 across and divide by the coefficient of q.
0.20q=4.8
q=24
We now know of the 73 coins that 24 are quarters. To find the number of nickels, we subtract 24 from 73 and get 49 nickels.
Part 1:-
- cost to park of a day is= $25+$43+$61+$79 =$208
- and the hourly rate to a paddle boat =208÷24=$8.6 per hour
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<h3>What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Completethe explanation.</h3>
The total cost to rent the boat will be
<u>3.5</u> hours x $<u> </u><u>12</u> per hour + $ <u>5</u> =$<u>47</u>
<u>i</u><u>f</u><u> </u><u>she </u><u>spilt </u><u>cost </u><u>with </u><u>a </u><u>friend</u><u> </u><u>,</u><u>they </u><u>will </u><u>each </u><u>pay$</u><u>4</u><u>7</u><u> </u><u>÷</u><u> </u><u>2</u><u>=</u><u> </u><u>$</u><u> </u><u>2</u><u>3</u><u>.</u><u>5</u>
Answer:
A figure moving up, a figure moving left, and a figure moving down.
Step-by-step explanation:
Translations are just moving things around in any direction.
Answer:
$20
Step-by-step explanation:
50% of Fundraising goal= 0.5 x $40
= $20
Answer:
x=2 and y=1
Step-by-step explanation:
Add the two equations to remove "y" and solve for x:
4x+8y=16
6x-8y=4
________
10x=20
x=2
Plug x=2 into one of the original equations to get the value of "y":
4x+8y=16
4(2)+8y=16
8+8y=16
8y=8
y=1
Therefore, x=2 and y=1