Max worked 6.23 hours on Monday, 7.45 hours on Tuesday, 8.3 hours on Wednesday, 8 hours on Thursday, and 5.21 hours on Friday. What is the total number of hours that Max worked?

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]n^2-n[/tex]

Is never an odd number when n>1.

We will have two cases. We can prove them for each case individually.

The Even Case: n is Even:

Let n be even. Then, we can rewrite n as:

[tex]n=2k[/tex]

Where k is any positive integer.

This is because twice of any integer is even, so n must be even.

Substitute this into our expression to acquire:

[tex]=(2k)^2-(2k)[/tex]

Square:

[tex]=4k^2-2k[/tex]

4 times anything is even. 2 times anything is also even. Therefore, our expression will stay even.

The Odd Case: n is Odd:

Let n be odd. Then we can rewrite n as:

[tex]n=2k-1[/tex]

Where k is any positive integer.

This is odd because twice of any number is even, but if subtracted by 1, it yields an odd number.

We will substitute this into our expression to acquire:

[tex]=(2k-1)^2-(2k-1)[/tex]

Square:

[tex]=(4k^2-4k+1)+(-2k+1)[/tex]

Simplify:

[tex]=4k^2-6k+2[/tex]

4 times anything is even. 6 times anything is even. And anything even added to 2 will still be even.

Therefore:

[tex]n^2-n[/tex]

Will never be an odd number when n>1.

Answer / Step-by-step explanation:

500g - 300g = 200  {200 ÷ 500 = 0.4}  ---- 300g pork

0.4 × 150g = 60g tomatoes

0.4 × 100g = 40g butter

0.4 × 120ml = 48ml water

0.4 × 45g = 18g green chilli

0.4 × 8og = 3.2og onion

Answer:

y=-x-5

Step-by-step explanation:

Answer:

y = -x + 3

Step-by-step explanation:

Use this formula to get the slope [tex]\frac{y2 - y1}{x2 - x1}[/tex]

PLUG IN

[tex]\frac{3 - 7}{0 - -4} \\\\\frac{-4}{4} \\[/tex]

-4/4 = -1

The slope is -1

To find the y- intercept plug your slope and one of your points in this y=mx+b

We will use (0,3)

3 = -1(0) + b (b represents y-intercept)

3 = b

The equation would look like this

y = -x + 3

Hope this helps ya!!

Answer:

10.04

Step-by-step explanation:

25.10/2.5=10.04

Answer:

10.04

Step-by-step explanation:

All you do is divide 25.10 by 2.5, the total($25.10) by the amount(2.5) then that is where

25.10 divided by 2.5 comes from, therefore your answer is 10.04

Answer:

$15

Step-by-step explanation:

Let A, B, C and D represent the four friends respectively.

Given the following data;

Amount earned by A = $15

Amount earned by B = $20

Amount earned by C = $25

Amount earned by D = $40

Total amount earned = 15 + 20 + 25 + 40

Total amount earned = $100

For an equal ration, each friend should be given;

Each earnings = total amount earned/number of friends

Substituting into the equation, we have;

Each earnings = 100/4

Each earnings = $25

Hence, for D with $40, would become;

D = $40 - $25

D = $15

Therefore, D would give A $10 and give B $5.

Answer:

9.9

Step-by-step explanation:

Fists you have to choose a number, ex. 20. Then subtract 4.8 from 20 equalling 15.2, then subtract 7.2 from 15.2, which equals 7.6, then add 2.5 and get 10.1. When you have that final number you must subtract it from the starting number to find the change, 20 - 10.2 = 9.9

Answer:

13.4

Step-by-step explanation:

πr2h

3

Answer:

12.5

Step-by-step explanation:

use pythag to find perpendicular height

then from that your answer should be 4.40cm

Answer:

3

Step-by-step explanation:

f(x) = 3x+1

f(x+h) = 3(x+h)+1 = 3x+3h+1

f(x+h) - f(x)= 3x+3h+1-3x-1 = 3h

3h/h=3

Answer:

134.24 in³

Step-by-step explanation:

Use the formula for the volume of a cylinder, V = [tex]\pi[/tex]r²h

Plug in the radius, pi, and the height:

V = [tex]\pi[/tex]r²h

V = (3.14)(1.5²)(19)

V = 134.235

= 134.24 in³

So, the volume of the cylinder is 134.24 in³

Answer:

134.24 in³

Step-by-step explanation:

Answer:

x- incept = 14

Step-by-step explanation:

Take any two points and find the slope.

(-94 , 24)   & (-74 , 18)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ = \frac{18-24}{-74-[-94]}\\\\=\frac{18-24}{-74+94}\\\\=\frac{-6}{20}\\\\=\frac{-3}{10}\\[/tex]

(-94 , 24) and m = -3/10

Equation of the line:

[tex]y-y_{1}=m(x- x_{1})\\\\y - 24 =\frac{-3}{10}(x - [-94])\\\\y-24 =\frac{-3}{10}(x + 94)\\\\y-24=\frac{-3}{10}x + 94*\frac{-3}{10}\\\\y-24 = -0.3x- 28.2\\\\ y = -0.3x - 28.2 + 24\\\\ y = -0.3x - 4.2[/tex]

At x-intercept y = 0

0 =  -0.3x - 4.2

4.2 = - 0.3x

4.2/-0.3 = x

14 = x

x- incept = 14

Answer: y=4x-4? yall i love algebra but I was trying to find the intercept and the points diidtn mathc up

Step-by-step explanation:

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:

Answer:

A) y = -1/2x + 1/2

Step-by-step explanation:

Find the y-intercept(when x = 0), which is 1/2.

Find the slope: m = y2-y1 / x2-x1

I used points: (3, -1), (-3,2)

m = 2 - (-1) / -3 - 3

m = 3 / - 6

m = -1/2

plug this into the slope intercept form equation: y = mx + b

y = -1/2x + 1/2

Answer:

It is B

Step-by-step explanation:

Because their isnt a square root fpr 51

Answer: y < 3x -4

Step-by-step explanation:

We know two points of line: (0,-4) and (1,-1)

Therefore, we can find the slope: 3/1.

We know the y intercept.

Dashed line means the inequality is not apart of the region.

y < 3x-4

Answer:

hold on its its.............oh yeah 21

Answer:

  b

Step-by-step explanation:

Answer:

-13

Explanation:

I did the math lol

Answer:

FV= $7,040.46

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,500

Number of periods (n)= 5*2= 10 semesters

Interest rate (i)= 0.05/2= 0.025

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 5,500*(1.025^10)

FV= $7,040.46

Answer:

yes is is proportional

x=ydivided by 3.5

Step-by-step explanation:

Answer: multiplying by 3.5

Step-by-step explanation: because if you divide 7 by 2 you will 3.5

Answer:

rational

Step-by-step explanation:

I'm coochie man

Jenn's account has the greater simple interest rate

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

Lindsey simple interest was 1.2% annually

For Jenn:

Jenn simple interest was 1.5% annually

Therefore Jenn's account has the highest simple interest rate.

^^^^^^^^^^^^^^^^^^^^

"EamonnAdams1992"

Answer:

She has a higher interest rate

Step-by-step explanation:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Sample answer on edge ;)

Answer:

1

Step-by-step explanation:

It's just 1

Answer:

$72

Step-by-step explanation:

Answer:

After ten weeks both diego and lin will have 57 dollars

Step-by-step explanation:

Answer:

$52.50

Step-by-step explanation:

Set up the ratio:

[tex]\frac{24.50}{7}[/tex]

Simplify in order to find the cost per gallon.

The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.

Now you have this left:

[tex]\frac{3.50}{1}[/tex]

Multiply the denominator by 15 since Robert needs 15 gallons.

Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.

Now you have this left:

[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]

Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.

Answer:

Answers in explanations, hope they're correct!

Step-by-step explanation:

12. You will be using 0 gallons of gas when traveling 0 miles.

13. 20 gallons

14. (2,6)

15. You will package 15 dozens of cupcakes after 5 hours

Answer:

12: 0 miles uses 0 gallons of gas

13: 20 gallons

14: (1,3)

15: it takes 5 hours to make 15 dozen cupcakes

Step-by-step explanation:

13) 4 gallons for every 100 so multiple by 5 for 500

Answer:

The sides of the isosceles triangle are 3.2 cm, 6.2 cm and 6.2 cm

Step-by-step explanation:

The sides of an isosceles triangle are equal in length

Let the base be x cm

Since it is 3 cm smaller than a leg, the legs will be (x + 3) cm

To find the perimeter of a triangle, we add up the sides

x + x + 3 + x + 3 = 15.6

3x + 6 = 15.6

3x = 15.6 - 6

3x = 9.6

x = 9.6/3

x = 3.2 cm

So the base is 3 + 3.2 =6.2 cm

Answer:2 3/4+ 3 5/8= 6 3/8

Step-by-step explanation:

2 3/4= 2 6/8+3 5/8=5 11/8=6 3/8