What is the correct sums 7 hundredths + 7 tenths ,7 tenths + 70 hundredths
,1 tenth + 17 hundredths
,10 tenths + 4 hundredths
,11 hundredths + 8 tenths

,Options 177\100 91\100 140\100 77\100 27\100 104\100

Answers

Answer 1
Answer: a) (7)/(100) + (7)/(10) = (7)/(100) + (7*10)/(10*10) = (7+70)/(100) = (77)/(100)  \n  \n b) (7)/(10) + (70)/(100) = (7*10)/(10*10)+ (70)/(100)= (70+70)/(100)= (140)/(100)   \n  \n  c)(1)/(10) + (17)/(100) = (1*10)/(10*10) + (17)/(100)= (10+17)/(100)  = (27)/(100)  \n  \n d) (1)/(1) + (4)/(00) =(1*100)/(1*100) + (4)/(100) = (100)/(100) + (4)/(100) = (104)/(100)  \n  \n

e) (11)/(100)+ (8)/(10)  = (11)/(100)+(8*10)/(10*10) =(11+80)/(100) = (91)/(100)


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The equation P=28+2.54w models the relation between the amount of Randy's monthly water bill payment, P, in dollars, and the number of units of water, w, used. Interpret the P-intercept of the equation.

Answers

The P - intercept of the equation is 28

Solution:

Given equation models the relation between amount of Randy's monthly water bill payment and number of units of water used

P = 28 + 2.54w

Where,

"P" is the monthly water bill payment in dollars

"w" is the number of units of water used

Compare this equation with slope intercept form

Slope intercept form: y = mx + c

Where "m" is the slope of line and "c" is the y intercept

Therefore in given equation, P = 28 + 2.54w

2.54 is the slope and 28 is the P - intercept

The slope, 2.54, means that Randy’s payment increases by $2.54 when the number of units of water he used increases by 1

When "w" increases by 1 , then P increases by $ 2.54

The P –intercept means that if the number units of water Randy used was 0, the payment would be $28

When w = 0 ,

P = 28 + 0

P = $ 28

Thus the P - intercept determines the monthly payment bill

Answer:

The slope,  2.54, means that Randy's monthly water bill payment increases by  2.54  dollars for each unit of water used.

   

Find the remainder when 1 + 2 + 2^2 + 2^3 + ... + 2^100 is divided by 7.Thanks in advance!

Answers

Answer:

3.

Step-by-step explanation:

This is a geometric series so the sum is:

a1 * r^n - 1 / (r - 1)

= 1 * (2^101 -1) / (2-1)

= 2^101 - 1.

Find the remainder when 2^101 is divided by 7:

Note that 101 = 14*7 + 3 so

2^101 = 2^(7*14 + 3) =  2^3  * (2^14)^7 = 8 * (2^14)^7.

By Fermat's Little Theorem  (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.

So 2^101 mod 7 = (8 * 4^7) mod 7

                           = (8 * 4) mod 7

                            = 32 mod 7

                            = 4 = the remainder when 2^101 is divided by 7.

So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..

Use the grid to draw three different rectangles so that each has an area of 12 square units and they all have different widths what are the dimensions of the rectangle (please hurry!)

Answers

For the question above asking what are the dimensions of the rectangle 
Are you asking what numbers should you multiply to 12?
1 and 12, 2 and 6 , 3 and 4
A rectangle with each of these dimensions will have an area of 12.I hope my answer helped you.

Answer and Step-by-step explanation:

1 and 12

2 and 6

3 and 4

A rectangle with each of these dimensions will have an area of 12, your welcome :)

A parallelogram with vertices (–1, 3), (5, 1), (3, –2), and (–3, 0) is translated right 4 units, down 2 units. What are the coordinates of the vertices of the translated parallelogram?

A.
(3, 1), (9, –1), (7, –4), and (1, –2)

B.
(3, 1), (9, –1), (7, 0), and (1, –2)

C.
(3, 5), (9, 3), (7, 0), and (1, 2)

D.
(1, 7), (7, 5), (5, 2), and (–1, 4)

Answers

A. the coordinates for the 3rd one is (7, -4)

Start at 12 create a pattern that multiplies each number by 4

Answers

So,

Basically, you're asking us to start a pattern with 12 and multiply it for every subsequent term.
12, 12 * 4, 12 * 4^2, 12 * 4^3, ...
12, 48, 192, 384, ...

So the geometric sequence will look like this:

12 * 4^(n-1)

A geometric sequence is a sequence where the next terms are found by performing multiplication or division.  In this case, we are multiplying by 4.  This is opposed to an arithmetic sequence, where we are adding or subtracting.

To show that this geometric sequence works, let's try to find a few terms.  To find the nth term, you just have to plug in the number of the term into the expression for n.

For instance, find the first term.  This is the resulting expression:
12*4^(1-1)=12*4^0=12*1=12

Let's try a few more terms.  The 2nd term:
12 * 4^(2-1) = 12*4^1=12*4=48

The 3rd term:
12 * 4^(3-1) = 12*4^2=12*16=192

And that's how the geometric sequence works.

Sarah is 5 feet and 2 inches tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters)

Answers

157.48, C. All they wanted you to do was convert 5 feet and 2 inches to centimeters.
1 foot = 12 inches, 1 inch = 2.54 centimeters

5*12 = 60
60*2.54=152.4
2*2.54= 5.08
152.4 + 5.08 =157.48

Sarah is 157.48 centimeters tall