What are the like terms and coefficients in 2m+3m-m

likoan [24]

-2(4x-1)=5+7
(4x-1)=12/-2
4x=-6+1
x=-5/4

4 0

3 years ago

When Alice spends the day with the babysitter, there is a 0.6 probability that she turns on the TV and watches a show. Her littl

lara [203]

Answer:

A. P("Both Alice and Betty watch TV") = 12/25

B. P("Betty watches TV") = 12/25

C. P("Only Alice watches TV") = 3/25

Step-by-step explanation:

A. Because what we are told, Betty need that Alice turn on the TV, so, we first need the probability that she watches TV:

P(Alice)=3/5 (0.6)

And we know that:

P(Betty)=4/5 (0.8)

If we want the probability of both things happening at the same time (If you use a tree diagram, those events will be in the same branch), we proceed multiply them:

P("Both Alice and Betty watch TV") = 3/5 * 4/5 = 12/25

And this is the answer

B. Considering that Betty needs Alice to turn on the TV, the probability of Betty watching TV is the same as if she is with Alice.

P("Betty watches TV") = P("Both Alice and Betty watch TV") = 12/25

C. We use the same process as part A, but with a little difference. We now multiply for the probability that Betty does not watch TV (Because they still be in the same branch).

P("Betty does not watch TV") = 1 - P("Betty")

P("Betty does not watch TV") = 1 - 4/5

P("Betty does not watch TV") = 1/5

And the answer for part C is:

P("Alice watches TV without Betty") = 3/5 * 1/5 = 3/25

5 0

3 years ago

solve the systems of equations via graphing then check the solution in each equation: 4x+6y=18, (y+2)=1/3(x+2)

Mariulka [41]

just wondering are you still stuck

8 0

3 years ago

9) Janelle has $20 and is saving $6 per week. April has $150 and is spending $4 per week. When will

Lynna [10]

Answer:

13 weeks; 98 dollars.

Step-by-step explanation:

Let's say x represents the number of weeks, and y the number of dollars. For Janelle, an equation to find out how much money she has is y = 20 + 6x. For April, the equation is y = 150 - 4x. Now we need to find how long it will take them to have the same amount of money, and how much that is. A new equation to figure that out is 150 - 4x = 20 + 6x. To solve, make it so the variable is only one side. Add 4x to both sides. You now get 150 = 20 + 10x. Then we continue solving. Subtract 20 from both sides to get 130 = 10x. Then divide both sides by 10 to get 13 = x. This means in thirteen weeks, they will have the same amount of money. To find out how much money they have, choose one (or both to be sure) of the equations and solve for y. For example, Janelle's equation is y = 20 + 6x. Fill in 13 for x to get y = 20 + 6(13). y = 20 + 78. y = 98. This means in 13 weeks, Janelle will have 98 dollars. To be sure, also check with April's equation. y = 150 - 4x. y = 150 - 4(13). y = 150 - 52. y = 98. Therefore, in 13 weeks, both people will have 98 dollars.

7 0

3 years ago

Monica has 2 gallons of milk to make milkshakes. Each milkshake contains 1 cup of milk. There are 128 ounces in 1 gallon and 8 o

OlgaM077 [116]

Answer: 32 cups of milk

Step-by-step explanation:

The first thing to do is to convert the gallons of milk to milkshakes so that you are able to convert easier to cups.

There are 128 ounces in 1 gallon and Monica has 2 gallons. The amount of milk Monica has in ounces is:

= 128 * 2

= 256 ounces

Each cup is capable of holding 8 ounces and there are 256 ounces available so the number of cups of milk is:

= 256 / 8

= 32 cups of milk

3 0

3 years ago