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AleksAgata [21]
3 years ago
6

Marcy can make 3 potholders and 8 paper flowers in a day. The following expression, (3 * 2.50 + 8 * 1.25)d represents how much M

arcy can earn in d days. Use the Distributive Property to write an expression equivalent to this expression. (3 * 2.50 + 8 * 1.25)d =
Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

(3 * 2.50 + 8 * 1.25) d =

3*2.50 d + 8*1.25 d  

or  

7.50 d + 10 d

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A sock drawer contains eight navy blue socks and five black socks with no other socks. If you reach in the drawer and take two s
Rzqust [24]

Answer:

a. the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

b. the probability of picking two navy or two black is

= 56/156 + 20/156 = 76/156 = 0.487

c. the probability of either 2 navy socks is picked or one black  & one navy socks.

= 40/156 + 56/156 = 96/156 = 0.615

Step-by-step explanation:

A sock drawer contains 8 navy blue socks and 5 black socks with no other socks.

If you reach in the drawer and take two socks without looking and without replacement, what is the probability that:  

Solution:

total socks = N = 8 + 5 + 0 = 13

a) you will pick a navy sock and a black sock?

Let A be the probability of picking a navy socks first.

Then P (A) = 8/13

without replacing the navy sock, will pick the black sock, total number of socks left is 12.

Let B be the probability of picking a black sock again.

 P (B) = 5/12.

Then, the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

b) the colors of the two socks will match?

Let A be the probability of picking a navy socks first.

Then P (A) = 8/13

without replacing the navy sock, will pick another navy sock, total number of socks left is 12.

Let B be the probability of another navy sock again.

 P (B) = 7/12.

Then, the probability of picking 2 navy sock = P (A & B)

= (8/13 ) * (7/12) = 56/156 = 0.359

Let D be the probability of picking a black socks first.

Then P (D) = 5/13

without replacing the black sock, will pick another black sock, total number of socks left is 12.

Let E be the probability of another black sock again.

 P (E) = 4/12.

Then, the probability of picking 2 black sock = P (D & E)

= (5/13 ) * (4/12) = 5/39 = 0.128

Now, the probability of picking two navy or two black is

= 56/156 + 20/156 = 76/156 = 0.487

c) at least one navy sock will be selected?

this means, is either you pick one navy sock and one black or two navy socks.

so, if you will pick a navy sock and a black sock, the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

also, if you will pick 2 navy sock, Then, the probability of picking 2 navy sock = P (A & B)

= (8/13 ) * (7/12) = 56/156 = 0.359

now either 2 navy socks is picked or one black  one navy socks.

= 40/156 + 56/156 = 96/156 = 0.615

4 0
3 years ago
Describe the mistake that Jude made.
stiks02 [169]
Jude has to simplify the parenthesis first then multiply. She didn't follow PEMDAS
4 0
3 years ago
Solve for a r=x(a+b)<br><br><br> Solve for x x/2=-7
Anastaziya [24]

Answer:

a = (r/x) -b

x = -14

Step-by-step explanation:

r=x(a+b)

Divide each side by x

r/x = a+b

Subtract b

r/x  -b = a

x/2=-7

Multiply each side by 2

x/2*2 = -7*2

x = -14

4 0
2 years ago
Read 2 more answers
Which is closest to the volume of a cylinder with a height of 11 inches and
Veseljchak [2.6K]

Answer:

The closest to the volume of cylinder is <u>63 in.³</u>.

Step-by-step explanation:

Given:

Cylinder with a height of 11 inches and  a circumference of 8 1/2 inches.

Now, to find the volume.

As circumference is given we get the radius by putting formula:

Circumference = 8 1/2 inches = 17/2 inches.

Let the radius be r.

Circumference=2\pi r

<em>Taking the value of π = 3.14.</em>

\frac{17}{2}=2\times 3.14\times r

8.5=6.28\times r

<em>Dividing both sides by 6.28 we get:</em>

1.35=r

So, radius = 1.35 inches.

Height = 11 inches.

Now, putting the formula to get the volume:

Volume=\pi r^2h

Volume=3.14\times 1.35^2\times 11

Volume=3.14\times 1.8225\times 11

Volume=3.14\times 20.0475

Volume=62.949\ inches^3

<u><em>Hence, the volume of cylinder = 63 inches³ (approximately).</em></u>

Therefore, the closest to the volume of cylinder is 63 in.³.

4 0
3 years ago
there are 55 students in a band 11 are 6th graders 21 are 7th grader and 23 are 8th graders what is the ratio of the 6th graders
Sonbull [250]

Answer:

11 : 44

Step-by-step explanation:

There are 11 6th graders and a combination of 44 7th and 8th graders. Therefore, the ratio is 11 : 44. Hope this helps!

8 0
3 years ago
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