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Firlakuza [10]
2 years ago
8

There are 20 runners in a race for 1st, 2nd, 3rd, and 4th place. How many different arrangements can be made?​

Mathematics
1 answer:
Setler [38]2 years ago
3 0

Answer: 160

Step-by-step explanation:

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Lizbeth deposited $6200 into a savings account for which interest is compounded monthly at a rate of 2.37%. How much interest wi
aleksley [76]
A=6200(1+0.0237/12)^12*8
A=7,492.95
Amount earned=7492.95-6200=1,292.95
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3 years ago
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The theater department charged $5 per ticket for admission to the fall play, My Fair Lady. Additionally, they asked for a donati
barxatty [35]

Answer:

$(400+80x)

Step-by-step explanation:

We are required to find the total income on Friday Night

Ticket costs $5 each and they sold 80 tickets

Total ticket Sales = 80 X $5 =$400

There was a donation of $x per ticket, so for 80 tickets, there was a donation of $80x.

Total Income on Friday Night=Ticket Sale+Donations= $(400+80x)

3 0
3 years ago
Can soembody help me answer this please. PLEASE BE QUICK AND RIGHT !!!​
myrzilka [38]

Answer:

A, D, and G

Step-by-step explanation:

Let's try each of the answer choices, one by one.

A) Plug x = 2 into each expression and see what we get.

7x + 4 = 7 * 2 + 4 = 14 + 4 = 18

3x + 5 + 4x - 1 = 3 * 2 + 5 + 4 * 2 - 1 = 6 + 5 + 8 - 1 = 18

Since they're both 18 when x = 2, A is true.

B) The statement says that the expressions are <em>only </em>equal for x = 4 and x = 8, but as we saw from A, they're also equal when x = 2, so B is wrong.

C) Let's try to find a counterexample for this by plugging in an odd number into each expression, like 1:

7x + 4 = 7 * 1 + 4 = 7 + 4 = 11

3x + 5 + 4x - 1 = 3 * 1 + 5 + 4 * 1 - 1 = 3 + 5 + 4 - 1 = 11

We see that these two expressions are equivalent when x = 1, which is an odd number, so this contradicts the statement that they're <em>only</em> equal when x is even. C is wrong.

D) Let's combine like terms for the expression 3x + 5 + 4x - 1:

3x + 4x + 5 - 1 = 7x + 4

Notice that this is the exact same expression as the first one, which is 7x + 4 so that means for any x, these two expressions will always be the same. D is thus true.

E) This is not true because it's possible that two expressions aren't equivalent but have the same value for a certain odd number and a certain even number. E is incorrect.

F) Obviously, if the two expressions are equivalent, they will give the same answer for any input of x, including when x = 0, so F is wrong.

G) Again, the two expressions will always be equal, including when x = 8, so this statement is true.

The answers are A, D, and G.

Hope this helps!

4 0
3 years ago
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There are 3 times elephants compared to giraffes in the safari. If there is a total of 88 elephants and giraffes,how many elepha
Mumz [18]
66 elephants and 22 giraffes; 22x3= 66, 22+66= 88
6 0
4 years ago
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MZYX=pi/3 radians. Covert this radian measure to its equivalent degree measure.
vitfil [10]

Answer:

60°

Step-by-step explanation:

Angles can be converted from radians to degrees by multiplying by 180/π.

π/3 * 180°/π = 180°π /3π = 180/3 = 60°

60° is the measure of ZYX in degrees.

7 0
3 years ago
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