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dybincka [34]
3 years ago
12

Lucy has some pennies and some nickels. She has a maximum of 15 coins worth a minimum of $0.47combined.If lucky has 6.9999999999

99999 nickels, determine all possible values for the number of pennies that she could have.
Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Answer:

Step-by-step explanation:

The worth of a penny is 1 cent = 1/100 = $0.01

The worth of a nickel is 5 cents = 5/100 = $0.05

Let x represent the number of pennies that she could have. Lucy has some pennies and some nickels. She has a maximum of 15 coins. If lucky has 6.999999999999999, it means that

6.999999999999999 + x ≥ 15

x ≥ 15 - 6.999999999999999

x ≥ 8

If the 15 coins worth a minimum of $0.47combined, it means that

0.05(6.999999999999999) + 0.01x ≤ 0.47

0.35 + 0.01x ≤ 0.47

0.01x ≤ 0.47 - 0.35

0.01x ≤ 0.12

x ≤ 0.12/0.01

x ≤ 12

Therefore, the possible values for the number of pennies that she could have is 8 ≤ x ≤ 12

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The line represented by the equation 4y + 2x = 33.6 shares a solution point with the line represented by the table
mamaluj [8]

Answer:

The solution of this system is

(4). (6.0,5.4)

Step-by-step explanation:

First we have to find the equation of the line represented in the table; for that we have to find it's slope m and it's y-intercept b and then write it in the following form:

y=mx+b

The slope m of the line we get from first two points:

m=\frac{3.8-3.2}{(-2)-(-5)} =0.2

thus we have

y=0.2x+b

we find b by putting the point (2,4.6) into the function:

4.6=0.2(2)+b

b=4.6-0.4=4.2

Thus we have

y=0.2x+4.2

Now we have to find where this line intersects with 4y+2x=33.6; to do this we just substitute y with y=0.2x+4.2:

4(0.2x+4.2)+2x=33.6

0.8x+16.8+2x=33.6

\boxed{x=6 }

<em>We have the x-coordinate of  the intersection.</em>

We find the y-coordinate by substituting x=6 into y=0.2x+4.2:

y=0.2(6)+4.2=5.4

\boxed{y=5.4}

Thus the solution to the system is

\boxed{(x,y)=(6, 5.4)}

which is option 4.

4 0
3 years ago
Im giving brainlest!
wlad13 [49]

The statement that is true concerning the function of the table compared to the graph is that the graphed function has a greater maximum value. That is option D.

<h3>Comparison of table function and graph</h3>

From the graph, the maximum value is =0.5 while the minimum value cannot be determined.

From the table the maximum value is -3 while the minimum value is -24.

Therefore, the statement that is true concerning the function of the table compared to the graph is that the graphed function has a greater maximum value.

Learn more about graph here:

brainly.com/question/14323743

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5 0
2 years ago
What is 1 20/32 as a decimal and percent?
Lynna [10]
1 \frac{20}{32}= \frac{52}{32}= 1,.625 -\ decimal \\ \\ p\% \ of \ \frac{52}{32}= \frac{p}{100}*\frac{52}{32}= \\ \\\ p=\frac{100*52}{32} \\ \\ \boxed{p=162,5}
3 0
3 years ago
What is the median of 36, 14, 21, 56, and 10?
Alexandra [31]
The median is the middle number which is 21
6 0
3 years ago
Read 2 more answers
What is 12.1 x (19.8 - 2.4)? Please show solving steps.
gladu [14]

Answer:

2105.4

Step-by-step explanation:

You take 19.8 and subtract 2.4 and get 17.4 as the first step. Then you multiply 17.4 and 12.1 and get 2105.4

3 0
3 years ago
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