Answer:
-64/5
Step-by-step explanation:
Basically, the word "quotient" means the answer to a division problem. Therefore, its a division problem, so you have to work backwards with multiplication. -8 times a number is 5/8, so the other number is going to be negative.
The number is -64/5
Answer in fraction form = 1/20
Answer in decimal form = 0.05
Answer in percent form = 5%
These are three ways to express the same thing
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Explanation:
Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.
The probability of getting a lion rubber band is 1/4 for similar reasoning as above.
Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20
Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.
Answer:
Step-by-step explanation:
because both equations do not have matching numbers for the x or y variable, and both equations are positive you are going to have to multiply each equation by a number so that there will be at least one variable with the same number but with opposite signs.
it does not matter which variable you choose.
lets use y because 2 and 3 are smaller then 2 and 5.
so lets multiply the first equation by 2 in order to get y equal to 6.
2(2x)+2(3y)=(2)6
(do not forget to multiply what the equation is equal to also)
4x+6y=12
now for the second equation we need y to equal negative 6
-3(5x)+-3(2y)=-3(4)
-15x-6y=-12
now lets put the 2 new equations next to each other and see what we can cancel out
4x+6y=12
-15x-6y=-12
-11x=0
x=0
now plug 0 in for x and solve for y (it does not matter which of the 4 equations you choose to solve.
2(0)+3y=6
3y=6
y=2
so your answer is x=0, y=2
Answer:
It's a.
Step-by-step explanation:
(a - 2b)^2 + 8ab
= a^2 - 4ab + 4b^2 + 8ab
= a^2 + 4ab + 4b^2.
((a + 2b)^2 = a^2 + 4ab + 4b^2.