Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
The formula of a slope:

From the graph we have two points (-5, -1) and (-2, -3).
<em>Look at the picture</em>.
Calculate the slope:

Put it to the equation in slope-intercept form:

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

<em>subtract 10/3 from both sides</em>

Finally:

Answer: c)She should have multiplied 15 by 3 instead of dividing.
Step-by-step explanation:
Number of quilts Ruby plan to make in one month= 3
which means if Ruby makes more than 3 quilts, the time will be more than 1 month.
To find the number of months to make 15 quilts, she need to divide 15 by 3
Thus, the number of months to make 15 quilts=5
Her answer was 1/5 which was absolutely wrong as if she is making 3 quilt in 1 month then in 1/5 month she would make fewer than 3 quilts.
She divides 3 by 15 instead of 15 by 3, thus but the unit is quilts not months.
Thus the only wrong option is c)She should have multiplied 15 by 3 instead of dividing.
Answer:
Step-by-step explanation:
1. There are only 4 numbers including 5 that follow the "five or more" requirment, and the probability of spinning it once is 4/8, or 1/2. (The total sections is 8) Then we multiply 1/2 and 1/2 together to get the "two times in a row" requirement done. (1/2)*(1/2)= 1/4 is the probability.
2. There are two values on the spinner that are a multiple of 3, 3 itself and 6. Again, the total amount of numbers/sections is 8, so the probability of spinning a multiple of three is 2/8 or 1/4. The probability of spinning an odd number is 4/8 or 1/2. (1/2)*(1/4)=1/8 is the probability.
3. The probability of spinning one odd number is 1/2, and so we multiply 1/2 by itself four times. (1/2)*(1/2)*(1/2)*(1/2)=1/16 is the probability.
4. There are 6 numbers greater than two on the number wheel not including two itself. So the probability of that is 6/8, or 3/4. Then we multiply 3/4 by itself 3 times as it asks. (3/4)*(3/4)*(3/4)*(3/4)=81/256 is the probability.
Note that I am not really sure about the answer myself, but I hope that this can help in some way. Good luck! :)
Answer:
15.4%
Step-by-step explanation:
Calculate the volume of both containers.
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
= π × 10² × 11 = 1100π ft³
= π × 7² × 19 = 931π ft³
Subtract volume of B from volume of A to find quantity left in A
quantity left in A = 1100π - 931π = 169π ft³
To calculate the percentage left in A after B has been filled
× 100%
=
× 100%
=
× 100%
= 15.4% ( to the nearest tenth )