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s344n2d4d5 [400]

3 years ago

10

Prof. Shanks assigns 5 students to work on a project. The group is to have no more than 1 freshman. In how many ways can the gro

up be selected if there are 5 freshmen and 10 sophomores in the class?

1 answer:

polet [3.4K]3 years ago

8 0

Answer:

1302

Step-by-step explanation:

10C5 + (5C1×10C4) = 1302

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The length of a board is 2 5/8 feet long. If 5/6 of a foot is trimmed off, find the new length

nalin [4]

Answer:

New length is 3 3/20 ft.

Step-by-step explanation:

The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.

We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8

Now we're going to simplify ---> 5/6 ⋅ x = 2 5/8

5/6 ⋅ x = 21/8

(multiply both sides by 6)

5x = 63/4

(divide both sides by 5)

x = 63/20

x= 3.15

So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.

6 0

2 years ago

Which one?!!! Help plz

nydimaria [60]

I think number 6 it should be right I think

4 0

3 years ago

What is the square root of 5 divided by the square root of 15 and simplify and in fraction form

ozzi

Answer:

$\sqrt{\frac{1}{3} }$

or

$\frac{\sqrt{3} }{3}$

Step-by-step explanation:

The expression $\frac{\sqrt{5} }{\sqrt{15} }$ can be simplified by first writing the fraction under one single radical instead of two.

$\frac{\sqrt{5} }{\sqrt{15} } = \sqrt{\frac{5}{15} }$

5/15 simplifies because both share the same factor 5.

It becomes $\sqrt{\frac{5}{15} } = \sqrt{\frac{1}{3} }$

This can simplify further by breaking apart the radical.

$\sqrt{\frac{1}{3} } = \frac{\sqrt{1} }{\sqrt{3} } = \frac{1}{\sqrt{3} }$

A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.

$\frac{1}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} } =\frac{\sqrt{3} }{3}$

4 0

3 years ago

MZJNM = 103°. Find mZJNK<br> 2<br> *<br> 24<br> 32<br> K<br> M<br> L

just olya [345]

Answer:

m<ZJNK=47°

Step-by-step explanation:

m<ZJNK=103°-24°-32°=47°

8 0

3 years ago

Evaluate the expression when b=-7 and y=7 b-4y

Bess [88]

$b = - 7 \: y = 7$

$b - 4y$

$( - 7) - 4(7)$

$- 7 - 28$

$= - 35$

3 0

3 years ago

Read 2 more answers