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yarga [219]
3 years ago
5

Need help with the subtracting and adding, steps included please!

Mathematics
1 answer:
ella [17]3 years ago
4 0
I'm going to assume that you mean questions 1-5, so here we go:

1: w+4=16
You know that you need to find what w is equal to, so you need to get it on its own. To do that, you have to get rid of the four, so subtract 4 from each side.
w+4-4= 16-4
w=12

2. x+7= -12
This one is a little trickier, because the 12 is a negative. You still need to get x on its own, so subtract 7 from each side.
x+7-7= -12-7
-12-7= -19

so: x= -19

5. -2= y-9
This one is like the others, except it is subtracting instead of adding. If it helps, we will switch the problem around to make it easier to work with:
y-9= -2
First, you have to get y on its own, so to get rid of the 9, you have to add 9 to each side.
y-9+9= -2+9
Now we have:
y= 7


If you still need help with the rest of the questions, let me know and I'll talk you through the rest of them. Hope I can be of assistance;)
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Alice has two bags of marbles: Bag A contains 8 red and 3 blue marbles, and Bag B contains 5 red and 7 blue marbles. She randoml
Thepotemich [5.8K]

It might help to draw out a probability tree. Check out the diagram below. The first two branches at the top represent bags A and B. The probability of picking either bag is 1/2 assuming each bag is equally likely to be picked.

If we go with bag A, then the probability of getting blue is 3/11 since there are 3 blue out of 8+3 = 11 total. The probability of getting bag A and a blue marble is (1/2)*(3/11) = 3/22 which I've marked in the diagram as well.

If we go with bag B, then the probability of getting blue is 7/12 since there are 7 blue out of 5+7 = 12 total. The probability of getting bag B and blue is (1/2)*(7/12) = 7/24

Add up the results found getting

P(blue) = P(blue & bag A) + P(blue & bag B)

P(blue) = 3/22 + 7/24

P(blue) = 36/264 + 77/264

P(blue) = 113/264

This is shown in the diagram as well.

--------------------------------------------------

Recall that conditional probability in general is defined as follows

P(A given B) = P(A and B)/P(B)

In this problem, we'll have

P(bag B given blue) = P(bag B and blue)/P(blue)

Therefore, we can say...

P(bag B given blue) = P(bag B and blue)/P(blue)

P(bag B given blue) = (7/24)/(113/264)

P(bag B given blue) = (7/24)*(264/113)

P(bag B given blue) = (7*264)/(24*113)

P(bag B given blue) = (7*24*11)/(24*113)

P(bag B given blue) = (7*11)/(113)

P(bag B given blue) = 77/113

In short, the probability of getting bag B, given the marble is blue, is 77/113.

8 0
2 years ago
Please the answer for 1 with the step
Morgarella [4.7K]
First find the value of h, or the height using the pythagorean theorem.

13^2=15^2+h^2
289=225+h^2
h^2=64
h=8

Then use the formula bh/2 to find area of the triangle.

10*8/2=40

Final answer: A
6 0
3 years ago
A small box measures 3 1/3 in. by 2 3/4 in. by 1 5/6 in. high. What is the volume of the box? Show your work
Mashutka [201]

Answer:

The volume is 16 29/36 or 16.81

Step-by-step explanation:

Volume of a box v = Length l × width w × height h

l = 3 1/3 = 10/3, b = 2 3/4 = 11/4, h = 1 5/6 = 11/6

v = 10/3 × 11/4 × 11/6

v = (10*11*11)/(3*4*6)

= 1210/72

V = 605/36

≈ 16 29/36 or 16.81

7 0
3 years ago
How many solutions does the equation 7x-4=7x+15​
galben [10]

Answer:

No solution

Step-by-step explanation:

7x-4=7x+15​

-4 = 15 = not true

3 0
2 years ago
Read 2 more answers
What is the slope of y=-x+7
Olenka [21]

Answer:

-1

Step-by-step explanation:

This is the slope because x is the slope, and if there is no number in front of x then x is 1. There is also a negative in front of x which means the answer is -1.  

3 0
3 years ago
Read 2 more answers
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