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oee [108]
3 years ago
12

#6:Find the slope of the line shown below

Mathematics
1 answer:
nordsb [41]3 years ago
3 0

Answer:

The slope is 3/8

Step-by-step explanation:

The difference in the rise (y-values) 3,  divided by the difference in the run (x-values) 8,  is 3/8.

You can see this by looking at the places where the graphed line crosses the grid, and counting the squares in each direction between those points, or you can use the formula (y - y₁) ÷ (x - x₁)  

Using the values of coordinates (3,1) and (-5, 4)

4 -(1) ÷ 3 - (-5)

3 ÷ 8

3/8

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Suppose you have x quarters, 3x + 2 dimes, 5x +1 nickels, and 6x + 4 pennies. The value of the coins is $4.59. Write an equation
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\text{Suppose you have x quarters, (3x+2) dimes, (5x+1) nickels and (6x+4) pennies}\\
\text{and total value of the coins is }\$ 4.59\\
\\
\text{we know that the value of 1 quarter is}=\$ 0.25\\
\\
\text{value of 1 dime}=\$0.10\\
\\
\text{value of 1 Nickel}=\$ 0.05\\
\\
\text{value of 1 Penny}=\$ 0.01\\
\\
\text{so the equation that represents the given situation is}

0.25 x+0.10(3x+2)+0.05(5x+1)+0.01(6x+4)=4.59

\\
\text{now to find the number of each coin, we solve it. so}\\
\\
0.25 x+0.3x+0.20+0.25x+0.05+0.06x+0.04=4.59\\
\\
0.86x+0.29=4.59\\
\\
\Rightarrow 0.86x=4.59-0.29\\
\\
\Rightarrow 0.86x=4.3\\
\\
\Rightarrow x=\frac{4.3}{0.86}\\
\\
\Rightarrow x=5

So the number of quarters is: 5

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And number of Pennies=6x+4=6(5)+4=34

4 0
3 years ago
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