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ExtremeBDS [4]
2 years ago
8

In 2008, the price of gasoline was $2.79 per gallon. In 2009, the price of gasoline was

Mathematics
1 answer:
ikadub [295]2 years ago
7 0

Answer:

36%

Step-by-step explanation:

line up $ and % data like this:

$2.79 represents 100%

$3.79 represents  X%

cross multiply

X*2.79 = 3.79*100

divide both sides by 2.79

X= 3.79*100 / 2.79 ≈ 136%

so it increased 36%

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What is all of this <br> Identify ALL sets of parallel and perpendicular lines in this image.
Tamiku [17]

<u>Parallel lines</u> are lines that run side-by-side without touching or intersecting!

<u>Perpendicular lines</u> intersect/cross and can also make 90° angles (those little green boxes in the picture) in their corners!

Sets of parallel lines:

  • CD and EF

Sets of perpendicular lines:

  • CD and AB
  • EF and AB
5 0
2 years ago
One of the tents you look at has a base measuring 3 metres long and 250 centimetres wide . What is the area of the tent
MAVERICK [17]
3 Metres = 300 Centimetres

300 x 250 = 75000

✨booyah<span>✨</span>
6 0
3 years ago
Solve each problem. NO LINKS!!!!!​
Sauron [17]
<h3>Answers:</h3>
  • Problem 10) There are 220 combinations
  • Problem 11) There are 126 combinations
  • Problem 12) There are 154,440 permutations
  • Problem 13) There are 300 different ways

============================================================

Explanations:

Problem 10

The order of the toppings doesn't matter. All that matter is the group itself. We'll use the combination formula nCr = (n!)/(r!*(n-r)!) where n = 12 and r = 3 in this case.

So,

nCr = (n!)/(r!*(n-r)!)

12C3 = (12!)/(3!*(12-3)!)

12C3 = (12!)/(3!*9!)

12C3 = (12*11*10*9!)/(3!*9!)

12C3 = (12*11*10)/(3*2*1)

12C3 = 1320/6

12C3 = 220

-------------------------

Problem 11

Like with problem 10, the order doesn't matter. This is assuming that each member on any given team has the same rank as any other member.

If you used the nCr combination formula, with n = 9 and r = 5, you should get the answer 126

Here's another way to get that answer.

There are 9*8*7*6*5 = 15120 different permutations. If order mattered, then we'd go for this value instead of 126

Within any group of five people, there are 5! = 120 different ways to arrange them. So we must divide that 15120 figure by 120 to get the correct value of 126 combinations

15120/120 = 126

Note the connection between nCr and nPr, namely,

nCr = (nPr)/(r!)

-------------------------

Problem 12

Now this is where order matters, because the positions in basketball are different (eg: a point guard differs from a center).

We have 13 choices for the first position, 12 for the second, and so on until we reach 13-r+1 = 13-5+1 = 9 as the number of choices for that last slot.

So we'll have 13*12*11*10*9 = 154,440 different permutations

Now if the condition that "each player can play any position" isn't the case, then the answer would very likely be different. This is because for the center position, for instance, we wouldn't have 13 choices but rather however many choices we have at center. To make the problem simpler however, your teacher is stating that any player can play at any slot. Realistically, the answer would be far less than 154,440

-------------------------

Problem 13

We have 6 applications for the 2 math positions. Order doesn't matter. That means we'll have 6C2 = 15 different ways to pick the math people. Use the nCr formula mentioned in problem 10. Since we'll use this value later, let's make x = 15.

There are 2 people applying for the chemistry teaching position, meaning there are 2 ways to fill this slot. We could compute 2C1 = 2, but that's a bit overkill in my opinion. Let y = 2 so we can use it later.

Similarly, there are 10 applicants for the Spanish teacher position, leading to 10 ways to get this position filled. You could compute 10C1 = 10 if you wanted to. Let z = 10 so we can use it later.

Once we figured out those x,y,z values, we multiply them together to get our final answer: x*y*z = 15*2*10 = 30*10 = 300

There are 300 different ways to select 2 math teachers, a chemistry teacher, and a Spanish teacher from a pool of 6 math applicants, 2 chemistry applicants, and 10 Spanish teacher applicants.

7 0
2 years ago
Jack wants to find out which can of pineapples is the best buy. He has a choice of four different-sized cans. Which can has the
OLga [1]

Answer:

C

Step-by-step explanation:

Here is the complete question

ack wants to fined out which can pineapples is the best buy. He has a choice of four different -sized cans. Which can has the lowest unit price per ounce?

A. 8 ounce for $ 1.44

B. 6 ounce for $ 1. 14

C. 18 ounce for $ 2.88

D. 10 ounce for $ 1.62

unit price = price / total ounces

$1.44 / 8 = $0.18

$1.14 / 6 = $0.19

$2.88 / 18 = $0.16

$1.62 / 10 = 0.162

the lowest is 18 ounce for $ 2.88

5 0
3 years ago
Scientists believe that every day the number of viruses that exist (x) will be multiplied by 6. Write an expression to express t
Rasek [7]

Answer:

X*6

Step-by-step explanation:

The virus (x) time 6

8 0
3 years ago
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