The probability of Alyssa picking a nickel and a quarter would be 11/15 (eleven over fifteen)
6/15 plus 5/15 which is 11/15
You get 15 as the denominator because you add 6+4+5=15
I hope u understand.
B. 5x - 8 = 40x - 8 has no solution because on the right side we will get 0
Answer:
x = 5.5
Step-by-step explanation:
- 6-(2x-4)+x = 6-2x+4+x = 10-x
- 3(x-4) = 3x-12
- Based on the 1st and the 2nd steps, 10-x=3x-12 --> 10+12=3x+x --> 22 = 4x --> x =22/4 = 5.5
Answer:
They are only equal on day 0, both having 10 population.
Step-by-step explanation:
Given the bacteria on the counter is initially measured at 5 and doubles every 3 days we can generate the following geometric equation:

Given the bacteria on the stove is measured at 10 and doubles every 4 days we can create another equation:

To find how many days it will take for the bacteria population to equal the same lets set both equations equal to eachother:

Divide both sides by 10

Since both exponents have the same base we can set the exponents equal to eachother and solve for x:

Multiply both sides by 3 to isolate x on the left side

Multiply both sides by 4 to remove fraction

Subtract 3x to isolate x on the left side

Plug x into one of our original equations

Solve

Answer:
Step-by-step explanation:
let speed of Stephen=x mph
speed of Diana=x+4
then
6x+6(x+4)=276
divide by 6
x+x+4=276/6=46
2x=46-4=42
x=42/2=21
Stephen is traveling at 21 mph.
Diana is traveling at 21+4=25 mph.