Answer:
see the explanation below
Step-by-step explanation:
you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion
Given data
you can type 250 characters in 60 seconds
your typing speed = 250/60
= 4.16 characters per seconds
your friend can type 375 characters in 90 seconds
your friends typing speed is
= 375/90
= 4.16 characters per seconds
Since both typing speeds corresponds, hence the ratios are proportional
The required Rob has 16 dimes and 24 quarters as he has a total of 40 coins.
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let x be the number of dimes that Rob has, and y be the number of quarters.
We know that he has a total of 40 coins, so,
x + y = 40 ( 1)
We also know that the value of all his coins is $7.60. The value of x dimes is 10x cents, and the value of y quarters is 25y cents. So,
10x + 25y = 760 ( 2)
Now we can solve for x and y. Let's start by solving equation 1 for one of the variables:
x + y = 40
y = 40 - x
Substitute this expression for y into equation 2:
10x + 25y = 760
10x + 25(40-x) = 760
10x + 1000 - 25x = 760
-15x = -240
x = 16
So Rob has 16 dimes. We can use equation 1 to find the number of quarters:
x + y = 40
16 + y = 40
y = 24
So Rob has 24 quarters.
Therefore, Rob has 16 dimes and 24 quarters.
Learn more about models here:
brainly.com/question/13567219
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