Answer:
These are both 20 so that means that this is proportional, yes.
Step-by-step explanation:
Hi.
To figure this out we can do something called cross multiplying to find a cross product. If we do this and our two answers are equal then it is indeed a proportion.
Here is how we do this.

So basically what we are doing is multiplying across in a diagonal direction.
Diagonal meaning like a slash / .
So in this case we would multiply the 4 and the 5 , since they're diagonal from each other.
Do the same for the 2 and the 10.
So we have to multiply :
4 x 5
2 x 10
=
20
These are both 20 so that means that this is proportional, yes.
Hope this helps.
If you have any questions or concerns feel free to message me.
Answer:
- n = 5q; 25q+5n = 200
- (n, q) = (20, 4)
- Margie has 20 nickels and 4 quarters
Step-by-step explanation:
a) Using the defined variables, we can translate the problem statements to equations:
- n = 5q . . . . Margie has 5 times as many nickels as quarters
- 25q + 5n = 200 . . . . the total value of Margie's coins is 200 cents
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b) Substituting for n, we have ...
25q +5(5q) = 200
50q = 200 . . . . . . . collect terms
q = 200/50 = 4 . . . divide by the coefficient of q
n = 5·4 = 20
The solution is (n, q) = (20, 4).
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c) Since n represents the number of nickels Margie has, n=20 means Margie has 20 nickels. Similarly, q=4 means Margie has 4 quarters.
To calculate any speed, the equation is speed=distance/time
Basically, you first need to take your 9 hours and 15 minutes and combine them into a number with a decimal value.
So, 15*4=60
Sound familiar? Good, because 25*4=100, so they are the same here.
So, we can say 9 hours and 15 minutes is equal to 9.25
Take this now: Speed=538/9.25
You get 58.1621, which you can round to 58.2
This is, of course, your final answer, so Joe drove at 58.16 mph
Answer:
option C
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
And we need to tell which graph best matches the graph we drew. Firstly let's convert it into a quadratic equation by opening and simplifying the brackets.
y = ( x + 2) ( x - 3)
y = x ( x - 3)+2( x - 3)
y = x² - 3x + 2x -6
y = x² - x - 6
Now plot its graph. For that refer to attachment.
<u>Things </u><u>we </u><u>can</u><u> </u><u>interpret</u><u> </u><u>:</u><u>-</u><u> </u>
- The constant in the equation is -6. So the graph will cut y axis 6 units below the X axis . At (-6,0)
- From the given options , option C matches the above point .
<u>Therefore</u><u> the</u><u> </u><u>correct</u><u> </u><u>option</u><u> </u><u>is </u><u>(</u><u>C)</u><u> </u><u>.</u>