Answer:
15.2%
Step-by-step explanation:
There are 12 marbles in total and there are 5 red marbles, so the probability of getting a red marble is 5/12. There are now 11 marbles and there are 4 blue marbles. So the probability of getting a blue marble is 4/11.
You multiply these 2 values together.
5/12 * 4/11 = 20/132 = 0.1515
This is about 15.2%
Rachel and her sister Fran together can paint the living room in
hours
Given that
Rachel can paint half of the living room in 1 hour
Fran can paint
th part of the living room in 1 hour
Let's assume together they paint the living room in x hours
⇒ together they can paint
th part of the living room in 1 hour
By proportions,
⇒
+
=
{using operation proportions and addition}
⇒
=
⇒x=
⇒ together they can paint
th part of the living room in 1 hour
It means, Rachel and her sister Fran together can paint the living room in
hours
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Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>q is independent variable, we need to solve it for s:</u>
- 6q = 3s - 9
- 3s = 6q + 9
- s = 2q + 3
<u>Correct choice is </u>
Answer:
<u>207.35 inches</u>
Step-by-step explanation:
The wheel is in the shape of circle. The height, here, basically gives the diameter.
So,
Diameter = 66 in
Radius is half of diameter, so radius is:
66/2 = 33 inches
r = 33
Now, the distance truck travels when 1 rotation is made is the length of the perimeter of the circular wheel, or the circumference.
The formula is:

Where C is circumference
r is the radius
Substituting, we get the answer as:

The distance covered is about <u>207.35 inches</u>
We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.
We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b
To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.
7 = (-1/5)(-3) + b
7 = 0.6 + b
6.4 = b
b = 6 2/5
So, the y-intercept will be at 6 2/5.