Answer: 14 dimes and 8 quarters
<u>Step-by-step explanation:</u>
dimes ($0.10): x + 6
quarters ($0.25): x
Cost*quantity of dimes + Cost*quantity of quarters = Total value
0.10(x + 6) + x(0.25) = 3.40
0.10x + 0.60 + 0.25x = 3.40
0.35x + 0.60 = 3.40
<u> -0.60 </u> <u>-0.60 </u>
0.35x = 2.80
<u>÷0.35 </u> <u>÷0.35 </u>
x = 8
dimes: x + 6 = 8 + 6 = 14
Answer:
Each pitcher has the same fraction of the other drink.
Step-by-step explanation:
After 1 cup of tea is added to x cups of lemonade, the mix has the ratio 1:x of tea to lemonade. So, the fraction of mix that is tea is 1/(x+1).
The 1 cup of mix contains 1/(x+1) cups of tea and so x/(x+1) cups of lemonade. When that amount of lemonade is added to the tea, it brings the proportion of lemonade in the tea to (x/(x+1))/x = 1/(x+1), the same proportion as that of tea in the lemonade.
_____
You can consider the degenerate case of one cup of drink in each pitcher. Then when the 1 cup of tea is removed from its pitcher and added to the lemonade, you have a 50-50 mix of tea and lemonade. Removing 1 cup of that mix and putting it back in the tea pitcher makes there be a 50-50 mix in both pitchers.
Increasing the quantity in each pitcher does nothing to change the fact that the mixes end up in the same ratio:
tea:lemonade in Pitcher 1 = lemonade:tea in Pitcher 2
ANSWER: x = 4 ( 8 + 160 )
STEP BY STEP:
Let's start by getting a variable to represent the number. Let's use x. ⇩
x=
Now we know that there is a sum of 8 and 160. Let's add them to each other ⇩
x= 8 + 160
Now we know that this will be multiplied. Let's put parentheses around the addition to symbolize this.
X= (8 + 160)
Finally multiply this by four, making your equation
x= 4 (8 + 160)
I don't know the options but from looking at the problem I'm assuming the answer is
x = 4 ( 8 + 160 )
Answer: (b) A
<u>Step-by-step explanation:</u>
A: the center of the circle
B: the diameter of the circle
C: the radius of the circle
D: <em>not sure, could be the perimeter</em>
<em />
Circles are named by their center, so this is named "Circle A".
63/8 is 7.875, or 7 remainder 7.
