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adoni [48]
3 years ago
10

Anyone help ASAP pls!!

Mathematics
2 answers:
egoroff_w [7]3 years ago
5 0
A fraction equal to 1
vladimir1956 [14]3 years ago
3 0
A fraction equal to one. Anything times one is that number so 1 1/3 times 3/3 is 1 1/3
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The economics department has 40 applicants for their phd program and only 10 openings. how many different combinations of applic
lana66690 [7]

In a sequence of events, the total possible number of ways all events can performed is the product of the possible number of ways each individual event can be performed. Since there are 10 openings

<span>P = 40 x 39 x 38 x 37 x 36 x 35 x 34 x 33 x 32 x 31 = 3.07599 x 10^15 different combinations</span>

5 0
3 years ago
Do u know rulers &lt;3???
Phantasy [73]

Answer:

Uhh...

Step-by-step explanation:

What? Of course I know what a ruler is. One's next to me on my desk right now. Or are you talking about a ruler of a country?

8 0
3 years ago
A positive integer + 0
zheka24 [161]

Step-by-step explanation:

0 is neither positive nor negative. ... For example +5 indicates that the number lies to the right of 0 and -5 indicates that the number lies to the left of 0. Thus, integers are also called directed numbers. If a number has no sign it means that it is a positive integer.

6 0
3 years ago
14. What is the vertex of y=-3x2 + 6x +15?
Flura [38]

Answer:

y=6x+21

Step-by-step explanation:

simply 3x2+6x+15

5 0
3 years ago
An alloy of tin is 15% tin and weighs 20 pounds. A second alloy is 10% tin. How many pounds of the second alloy must be added to
katovenus [111]
So, they alloy is hmmm some piece of metal.

it has tin, among other metals, regardless of what other metals it may have, we know that for the first one, 15% is tin, the rest something else, and we also know that the alloy itself, weights 20 lbs.

now, how much is just the weight of the tin metal in it alone?  well, is 15% of 20 lbs, or (15/100) * 20, or 3 lbs, so of all those 20 lbs, only 3 lbs or 15% is tin.

for the second alloy, let's say we'll add "x" lbs, we know the second alloy is 10% tin, how much of that weight is tin?  well 10% of x, or (10/100) * x, or 0.10x lbs.

now, we're looking for a mixture, say the resulting lbs of mix will be "y" lbs, and we know the mixture will be 12% of tin, how much is 12% of y?  (12/100) * y, or 0.12y.

now, regardless of what "x" and "y" is, we know that 20 + x = y, and that 3 + 0.10x = 0.12y, thus

\bf \begin{array}{lccclll}&#10;&\stackrel{lbs}{amount}&\stackrel{tin~\%}{quantity}&\stackrel{tin~lbs}{quantity}\\&#10;&------&------&------\\&#10;\textit{15\% alloy}&20&0.15&3\\&#10;\textit{10\% alloy}&x&0.10&0.10x\\&#10;------&------&------&------\\&#10;mixture&y&0.12&0.12y&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;20+x=\boxed{y}\\&#10;3+0.10x=0.12y\\&#10;----------\\&#10;3+0.10x=0.12\left( \boxed{20+x} \right)&#10;\end{cases}&#10;\\\\\\&#10;3+0.10x=2.4+0.12x\implies 3-2.4=0.12x-0.10x&#10;\\\\\\&#10;0.6=0.02x\implies \cfrac{0.6}{0.02}=x\implies 30=x
4 0
3 years ago
Read 2 more answers
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