How many ways can 3 students be chosen from a class of 20 to represent their class at a banquet?

Answers

Answer 1
Answer: Slot method 20 options 3 slots First slot: 20 options Second slot: 19 options (one used up for 1st slot) Third slot: 18 (one less than last) Multiply them 20 times 19 times 18=6840 Answer is 6840 ways
Answer 2
Answer: 60 ways because the easy way to solve this problem is identify the numbers being used and than multiply them by each other.

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Which expression stands for 32 more than a number d?

Answers

i think that it would be 34+d because if you were trying to get 32 more than a number you would add the number plus the varaible.
Basically, you need to make x = ___

When you say 32 more than something, you are basically adding:
32 more than 3 = 35
32 more than 16 = 48
etc.

So, even though you have a letter, it is the same concept...
32 more than d = 32 + d

Into an expression makes...
x = 32 + d

WHAT IS 4 TIMES TWO THIRDS IN A MIXED FRACTION

Answers

(4)/(1)×(2)/(3)=(8)/(3)
You then divide the numerator(top) by the denominator(bottom)
(8)/(3)=2 (2)/(3)
Your answer is 2 (2)/(3)
\frac{4}{1} × \frac{2}{3} = \frac{8}{3}You then divide the numerator(top) by the denominator(bottom)\frac{8}{3} =2 \frac{2}{3}Your answer is 2 \frac{2}{3}

Solve.4x + 2 ≥ –6


A.
x ≥ –1

B.
x ≤ –1

C.
x ≤ –2

D.
x ≥ –2

Answers

it's c bruh ok good bye

Raj opens his bank account with $500. He deposits $40 each month. A) write a function that shows the amount in Raj's account after m months. B) after how many months will Raj have $780 in his bank account?

Answers

The expression for the money deposited in the bank is 500 + 40m and it will take 7 months to get the required amount.

What is compound interest?

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

(A) The balance of Raj's account is given as $500.

And, the money deposited every month is $40.

Suppose, the number of months be m.

Then, the following expression can be written for money in account as,

500 + 40m.

(B) The equation for the given case can be written as,

500 + 40m = 780

⇒ 40m = 280

⇒ m = 7

Hence, the required expression is 500 + 40m number of months required is 7.

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Answer to B) is 7 months. Don’t quite understand A) though. More information about how many months you have to show for, would be quite helpful:)

Subtract – 7x – 9 from - 4x2 + 3x – 5.

Answers

Answer:

-4x² + 10x + 4

Step-by-step explanation:

(-4x² + 3x - 5) - (-7x - 9)

-4x² + (3x - -7x) + (-5 - -9)

-4x² + (3x + 7x) + (-5 + 9)

-4x² + 10x + 4

Final answer:

To subtract – 7x – 9 from - 4x² + 3x – 5, we change the signs of all the terms in the second expression and then combine like terms. The final answer is -4x² + 10x + 4.

Explanation:

To subtract – 7x – 9 from - 4x² + 3x – 5, you simply replace the minus sign before the second expression (– 7x – 9) with a plus sign, and then change the signs of all the terms in that expression. This is analogous to the subtraction of scalars, where for example, 5–2 equals 5+(-2).

Thus, the expression becomes: -4x² + 3x - 5 + 7x + 9. Now, you simply combine like terms. The 3x and 7x can be combined to get 10x, and -5 and 9 can be combined to get 4. The final answer is -4x² + 10x + 4.

Learn more about subtraction of polynomials here:

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10/25is it equivalent to0.4

Answers

10/25=40/100
.40
so yes
Technically yes because if you divide 10 by 25 you would get 0.4