79.(b)this is because you have six choices, 3 red, 1 blue, 1 yellow, and 1 green and since it says not red you only have 3 choices, blue yellow and green, so the fraction would be 3/6. You can simplify the fraction by dividing it by 2 and you would get 1/2.
80.the answer will still be (b) which is the same explanation for 79.
81. (C) because remember that the first time you only had a 50% (1/2) chance of getting red and the second chance of getting a red will be the same but not
Its not likely You can get a red.
Answer:
1. 3x-7y and -7y+3x
Step-by-step explanation:
1. 3x -7y and -7y +3x
This is correct because the terms remain unchanged. The -7y stays a -7y and the positive 3x stays a positive 3x.
2. 3x -7y and 7y -3x
This is not correct because the signs of the 3x and 7y switch. For the expressions to be equivalent, the signs must remain unchanged.
3. 3x -7y and 3y -7x
This is not correct because the variables of the 3 and 7 switched. The variables need to stay the same, for the expressions to be equivalent.
4. 3x-7 and -3y+7x
This is not correct because both the variables and the signs of the expressions changed. Both the signs and variables would need to stay the same in order to be equivalent.
Answer:
feet
Step-by-step explanation:
The total change is the sum of the length of two boards she cut.
First board length is 1 7/8th feet. Let's change to improper fraction:
1 7/8 = 15/8 feet
Second board lengrh is 3.5 feet, or 3 1/2 feet. Let's change to improper fraction:
3 1/2 = 7/2 feet
Let's add the two:
![\frac{15}{8}+\frac{7}{2}\\=\frac{15+28}{8}\\=\frac{43}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B8%7D%2B%5Cfrac%7B7%7D%7B2%7D%5C%5C%3D%5Cfrac%7B15%2B28%7D%7B8%7D%5C%5C%3D%5Cfrac%7B43%7D%7B8%7D)
The change in original board is 43/8 feet
The two equations that have been given in the question are:
x - y = 11
2x + y =19
Now we will take the first equation.
x - y = 11
x = 11 + y
Now replacing the value of x in the second equation we get
2x + y = 19
2(11 + y) = 19
22 + 2y = 19
2y = 19 - 22
2y = -3
y = - 3/2
Now putting the value of y in the first equation we get
x - y = 11
x - (-3/2) = 11
2x + 3 = 11 * 2
2x + 3 = 22
2x = 22 -3
2x = 19
x = 19/2
So the value of x is 19/2 and the value of y is -3/2.
The volume V of the workbox can be calculated by the formula:
V=a*b*c where a is the length, b is the width and c is the height.
In our case a=5'', b=31/2'' and c=4''.
When we input the numbers in the formula we get:
V=5*(31/2)*4=310 in³
So the interior volume V of the workbox is V=310 in³.