Answer: he has 32 quarters and 17 nickels.
Step-by-step explanation:
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of quarters that he has in her wallet.
Let y represent the number of nickels that she has in her wallet.
He has 49 coins total. This means that
x + y = 49
the total value of the coins is $8.85. This means that
0.25x + 0.05y = 8.85 - - - - - - - - - - 1
Substituting x = 49 - y into equation 1, it becomes
0.25(49 - y) + 0.05y = 8.85
12.25 - 0.25y + 0.05y = 8.85
- 0.25y + 0.05y = 8.85 - 12.25
0.2y = 3.4
y = 3.4/0.2
y = 17
x = 49 - y = 49 - 17
x = 32
Answer:
A link for a calculator that I use for ratios
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/math/ratios.php
<u>Answer:</u>
<h2>-33.33%</h2>
<u>Explanation:</u>
30-45 = -15
percent of change = 100(-15/45) = -33.33%
Graph the inequality y> 2x +3
Solution
<u>Step 1: </u>To graph the inequality, we need to find a few coordinates and form the table.
<u>Step 2:</u> Forming the table.
Let's take x = -1 and find the value of y.
Plug in x = -1 and find the value of y.
y = 2(-1) + 3 = -2 + 3 = 1
When x = -1, the value of y is 1.
So the coordinates are (-1, 1)
Plug in x = 0 and find the value of y.
y = 2(0) + 3 = 3
The coordinates are (0, 3)
Plug in x =1 and find the value of y.
y = 2(1) + 3 = 2 + 3 = 5
The coordinates are (1, 5)
<u>Steo 3: </u>Now let's plot the points and draw the graph.
Since the graph is greater than, we have to draw the dotted lines and shade the region above.
Note: You can find the graph in the attachment.
Thank you :)