Answer:
Step-by-step explanation:
I have 30 coins, all nickels, dimes, and quarters, worth $4.60. There are two more dimes than quarters. How many of each kind of coin do I have.
..
let quarters be x
dimes = x+2
...
dimes + quarters = x+x+2=2x+2
...
nickels = 30-(2x+2)
...
5(30-(2x+2))+10(x+2)+25x=460
5(30-2x-2)+10x+20+25x=460
150-10x-10+10x+20+25x=460
160+25x=460
-160
25x=460-160
25x=300
/25
x=300/25
x=12 ---- quarters
x+2= 12+2=14 dimes
30-(2x+2)=4 nickels
...
check
4*5+14*10+12*25=20+140+300=460
Answer: Each have to sell 91 candy bars to have the same amount of money.
Step-by-step explanation: Suppose x represents the amount of candy bars.
Team A already have $165 and they are selling each candy bar for $2. The mathematical equation that represents the amount of money they have is
A: 165 + 2x
Team B initially has $74 and will sell each candy bar for $3. Then, the mathematical equation representing their amount of money is
B: 74 + 3x
So, to have the same amount of money:
165 + 2x = 74 + 3x
x = 165 - 74
x = 91
<u>Teams A and B will have the same amount of money when each of them </u><u>sell 91 candy bars</u>.
Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
Step-by-step explanation:
Answer:
9 boys and 12 girls
Step-by-step explanation:
if you multiply the denominators by 3, you get "out of" 21. All you need to do after that is multiply the top by 3 as well and it tells you there are 9 boys and 12 girls.
