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2 years ago

Can I get some help on 3-5 please I don't understand how to do this :']

Mathematics

1 answer:

elena-s [515]2 years ago

7 0

The equation on number 3 is showing that Henry hikes 0.5 miles per hour, with x = number of hours. The graph shows that Clark hikes 15 miles in 10 hours, or 1.5 miles per hour. Clark is faster because of the reasons listed above.

Problem 4 is strange because it has a different value from x = 1 to x = 4 than it does for x = 5 and above, but my best guess would be a piecewise function:
If x < or equal to 4, 15x. If x > 4, 10 × (x - 4) + 60.

Problem 5 is much simpler: because x goes up 16 every time y goes up 6, 6/16 × x or (6/16)x.

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There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q

Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

Solution:

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

$\frac{nickel}{dime} = \frac{2}{3}$

$nickel = \frac{2}{3} dime$

$\frac{dime}{quarter} = \frac{2}{5}$

$quarter = \frac{5}{2}dime$

So,

$nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15$

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank

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