Caitlin has 27 $5 bills and 54 $10 bills.
Step-by-step explanation:
Given,
Worth of $5 and $10 bills = $675
Let,
Number of $5 bills = x
Number of $10 bills = y
According to given statement;
5x+10y=675 Eqn 1
She has twice as many $10 bills as $5 bills.
y=2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 25
Putting x=27 in Eqn 2
Caitlin has 27 $5 bills and 54 $10 bills.
Keywords: linear equation, substitution method
Learn more about substitution method at:
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Given
perimeter is 62
Side 1 - 3x+5
Side 2 - x+2
Solution,
2(3x+5+x+2) = 62
4x+7 = 31
4X = 24
x = 6
Now substitute the value of x to get the sides
Side one - 3x+5 = 23cm
Side two - x+2 = 8cm
Answer- the length of the longest side is 23 cm
Answer:
I would say $155.20
Step-by-step explanation:
You multiply 9.70by 8 and the answer of 77.60 and 77.60 and u get ur answer I hope this helps u and if it doesn't sorry
Answer : p=2
2p-2-5x=-2(7-2x)
First, work on the parentheses. So the -2 on the outside as to be multiplied by the 7 , which gets -14 . Then you multiply the -2 by the 2x, which is 4x.
It will go from -2(7-2x) to -14+4x
But if the -14+4x looks too confusing, you can just switch them around to look “normal”. So it would be 4x-14 .
Now that we’re finished with one side of the problem, we’ll go to the other side.
On the left side , there are two variables, or letters. Because they are the same letter (p) all you have to do is add them together.
3p
-5p
+—-
-2p
And then just carry the -2 that was originally there , so it’s -2p-2
Now the equation is
-2p-2 = 4p-14
So we’re going to add 2p to both sides.
The -2p on the left cancels out, and the 4p on the right side becomes 6p
-2 = 6p-14
Next, you are going to want to isolate the variable. (Leave the letter by itself) so you add 14 to the -14 , so it can cancel out. (AND DO THE SAME ON THE OTHER SIDE)
So, you add 14 to the -2 on the left of the equation. Which comes out to 12.
12 = 6p
Lastly, divide the 6p , so you can get the letter on it’s own. And do the same on the other side.
12 divided by 6 is 2
2 = p
OR
p = 2
When we multiply a number with a number less than 1 then the result will always smaller than the original number.
For example: 4* 0.5 =2
Here 0.5 is less than 1. So, when we will multiply 0.5 with 4 then we got the result 2 which is smaller than 4.
If denominator is bigger than the numerator then that number will be less than 1.
So, 2/7 is less than 1 because 7 is more than 2.
Similarly 3/8 is also less than 1.
So, Choice B is not correct as it says 2/7>1.
Let's check the other choices now.
A. 2/7 times 3/8 < 3/8 because 2/7 < 1
Multiply the numerators and denominators.
0.1<0.375
Above inequality satisfy.
So, A is the correct choice.
C. 2/7 times 3/8< 2/7 because 3/8 < 1
0.1<0.286
This inequality also satisfy. So, C is also correct.
