Jill typed 84 words in 2 minutes . assuming that she types at a constant rate , How many words does she type in 1 minute , 3 minutes and 9 minutes ?

Answers

Answer 1
Answer: At the rate of 84 words per 2 minutes, which translates to 42 words per one minute.

So in one minute she types 42*1=42 words
In 3 minutes she types 42*3=126 words
In 9 minutes she types 42*9=378 words
Answer 2
Answer: If she typed 84 words in two minutes, and you must find how many words she types at 1 minutes, 3 minutes, and 9 minutes is she was consistent in her speed, all you have to do is find the WPM (words per minute), and then multiply. Since we start with her WPTM (words per two minutes), we simply divide that by two.
84/2=42
So, our WPM rate is 42.
So, she types 42 words in one minute.
42*3=126
She types 126 words in three minutes.
42*9=378
She types 378 words in nine minutes.

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Regression analysis is a statistical procedure for developing a mathematical equation that describes how Options one independent and one or more dependent variables are related several independent and several dependent variables are related one dependent and one or more independent variables are related None of these alternatives is correct

Answers

Regression analysis is a statistical procedure for developing a mathematical equation that describes how:

one dependent and one or more independent variables are related

8 minus the quotient of 15 and y in algebraic expression

Answers

The algebraic expression "8 minus the quotient of 15 and y" can be written as:

8 - (15 / y)

Given that a verbal expression we need to convert it in algebraic form,

The given algebraic expression is "8 minus the quotient of 15 and y."

To understand this expression, let's break it down step by step:

Quotient: The quotient refers to the result of dividing one number by another.

In this case, we are dividing 15 by y. The expression "15 divided by y" can be written as 15/y.

Minus: The word "minus" indicates subtraction. It means we need to subtract the value obtained in the previous step from 8.

Putting it all together, the algebraic expression "8 minus the quotient of 15 and y" can be represented as:

8 - (15/y)

This expression represents the difference between 8 and the result obtained by dividing 15 by y.

The expression represents the result of subtracting the quotient of 15 and y from 8.

The value of y will determine the specific numerical result when you substitute it into the expression.

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Your answer would be 8-1/15y

Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how many dimes?HELP NOW DUE In 30 min!

Answers

The solution is, Sam has 5 dimes and 7 quarters.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

Sam has $2.25 in quarters and dimes, and the total number of coins is 12.

let, Sam has n₁ dimes and n₂ quarters.

then, we have,

n₁*$0.10 + n₂*$0.25 = $2.25

and, we have,

n₁ + n₂ = 12

This means that:

n₁ = 12 - n₂

And:

(12 - n₂)*$0.10 + n₂*$0.25 = $2.25

12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25

$1.20 + n₂*$0.05*(5-2) = $2.25

$1.20 + n₂*$0.05*3 = $2.25

$1.20 + n₂*$0.15 = $2.25

n₂*$0.15 = $2.25 - $1.20

n₂*$0.15 = $1.05

n₂ = ($1.05)/($0.15)

n₂ = 7

If n₂ = 7:

n₁ + 7 = 12

Therefore, n₁ = 5.

Answer:

5 dimes and 7 quarters.

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n₁*$0.10 + n₂*$0.25 = $2.25

n₁ + n₂ = 12

-----------

This means that:

n₁ = 12 - n₂

And:

(12 - n₂)*$0.10 + n₂*$0.25 = $2.25

12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25

$1.20 + n₂*$0.05*(5-2) = $2.25

$1.20 + n₂*$0.05*3 = $2.25

$1.20 + n₂*$0.15 = $2.25

n₂*$0.15 = $2.25 - $1.20

n₂*$0.15 = $1.05

n₂ = ($1.05)/($0.15)

n₂ = 7

If n₂ = 7:

n₁ + 7 = 12

Therefore, n₁ = 5.

---------

Answer:

5 dimes and 7 quarters.

Use mathematical induction to prove the statement is true for all positive integers n. The integer n3 + 2n is divisible by 3 for every positive integer n.

Answers

1. prove it is true for n=1
2. assume n=k
3. prove that n=k+1 is true as well


so

1.
(n^3+2n)/(3)=
(1^3+2(1))/(3)=
(1+2)/(3)=1
we got a whole number, true


2.
(k^3+2k)/(3)
if everything clears, then it is divisble


3.
((k+1)^3+2(k+1))/(3) =
((k+1)^3+2(k+1))/(3) =
(k^3+3k^2+3k+1+2k+2))/(3)=
(k^3+3k^2+5k+3))/(3)
we know that if z is divisble by 3, then z+3 is divisble b 3
also, 3k/3=a whole number when k= a whole number

(k^3+2k)/(3) + (3k^2+3k+3)/(3)=
(k^3+2k)/(3) + k^2+k+1=
since the k²+k+1 part cleared, it is divisble by 3

we found that it simplified back to (k^3+2k)/(3)

done



Answer:

We have to use the mathematical induction to  prove the statement is true for all positive integers n.

The integer n^3+2n is divisible by 3 for every positive integer n.

  • for n=1

n^3+2n=1+2=3 is divisible by 3.

Hence, the statement holds true for n=1.

  • Let us assume that the statement holds true for n=k.

i.e. k^3+2k is divisible by 3.---------(2)

  • Now we will prove that the statement is true for n=k+1.

i.e. (k+1)^3+2(k+1) is divisible by 3.

We know that:

(k+1)^3=k^3+1+3k^2+3k

and 2(k+1)=2k+2

Hence,

(k+1)^3+2(k+1)=k^3+1+3k^2+3k+2k+2\n\n(k+1)^3+2(k+1)=(k^3+2k)+3k^2+3k+3=(k^3+2k)+3(k^2+k+1)

As we know that:

(k^3+2k) was divisible as by using the second statement.

Also:

3(k^2+k+1) is divisible by 3.

Hence, the addition:

(k^3+2k)+3(k^2+k+1) is divisible by 3.

Hence, the statement holds true for n=k+1.

Hence by the mathematical induction it is proved that:

The integer n^3+2n is divisible by 3 for every positive integer n.

Solve for y: 20x + 4y = 28

Answers

Answer:

y = 7 - 5x

Step-by-step explanation:

20x + 4y = 28

4y = 28 - 20x

y = 28/4 - 20x/4

y = 7 - 5x

-TheUnknownScientist

A greenhouse that specializes in growing vegetables used for Chinese cooking is divided into sections. The number of plants in each section depends on the number of sprinklers in that section.In a section with y sprinklers there are y(4y − 1) napa cabbage plants and (y + 5)2 bok choy plants.

Which simplified expression represents the total number of napa cabbage plants and bok choy plants in a section with y sprinklers? (5 points)


A.4y4 − 10y2 + 25
B.4y2 + 9y + 25
C.5y2 − 11y + 25
D.5y2 + 9y + 25

Answers

The right answer for the question that is being asked and shown above is that: D.5y2 + 9y + 25
Napa Cabbage = y (4y-1) = 4y^2 - y
Bok Choy = (y+5)^2 = y^2 + 10y + 25

= 4y^2 - y + y^2 + 10y + 25
= 5y^2 + 9y + 25

The simplified expression represents the total number of napa cabbage plants and bok choy plants in a section with y sprinklers is 5y^2 + 9y + 25

Answer:

D

Step-by-step explanation:

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