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3 years ago

There are thirty seven students in the Service Club. They have to vote to send 4 representatives to a board meeting:

Mathematics

1 answer:

Molodets [167]3 years ago

3 0

Picking 4 students out of 37 students would be a permutation.

This is written with the total students first, the letter P then the number of students getting picked:

The answer would be D. 37P4

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2) You had $20 to spend on seven avocados. After buying them you had $6. How much did cach avocado cost? Answer

Elodia [21]

I believe it will be $14

6 0

3 years ago

If x2=18x+y and y2=18y+x, then find the value of root

mezya [45]

Answer:

$\sqrt{x^2+y^2+1}=18$

Step-by-step explanation:

We are given:

$x^2=18x+y\qquad\qquad[1]$

$y^2=18y+x\qquad\qquad[2]$

Subtracting [1] and [2]:

$x^2-y^2=18x+y-(18y+x)$

Operating:

$x^2-y^2=18x+y-18y-x$

Recall:

$x^2-y^2=(x-y)(x+y)$

Substituting:

$(x-y)(x+y)=18x+y-18y-x$

Rearranging:

$(x-y)(x+y)=18x-18y-(x-y)$

$(x-y)(x+y)=18(x-y)-(x-y)$

Dividing by x-y (recall x≠y):

$x+y=18-1=17$

$x+y=17\qquad[3]$

Now we add [1] and [2]:

$x^2+y^2=18x+y+18y+x$

Rearranging:

$x^2+y^2=18x+18y+x+y$

$x^2+y^2=18(x+y)+(x+y)$

$x^2+y^2=19(x+y)$

Substituting from [3]

$x^2+y^2=19*17=323$

Adding 1:

$x^2+y^2+1=324$

Taking the square root:

$\sqrt{x^2+y^2+1}=\sqrt{324}=18$

Thus:

$\mathbf{\sqrt{x^2+y^2+1}=18}$

3 0

3 years ago

If the length of the pond is 125 and your stride is 2.5 what is the distance that you have to paddle

vazorg [7]

Answer:

The distance you have to paddle = 50

Step-by-step explanation:

In order to determine the distance you have to paddle, you simply find out how many 2.5s are in 125. This is a case of simple division, as follows:

Total distance = 125

stride = 2.5

distance of paddle = 125 ÷ 2.5 = 50

8 0

3 years ago

The graphs below have the same shape What is the equation of the graph?

Hoochie [10]

The equation for the blue graph is D

8 0

3 years ago

A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows

Alika [10]

The approximate total mass= number of atoms * weight of an atom.

The approximate total mass=3.06 10²³ atoms. (1.67 10⁻²⁴ grams/1 atom)=
=0.51102 g ≈ 0.51 g

Answer: the spproximate total mass is 0.51 grams.

4 0

3 years ago

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