Lola started a swimming lesson at 1:30 p.m. that lasted for 45 minutes.
Then she read a book for 35 minutes.

What time did she finish her swimming lesson and what time did she finish reading

Answers

Answer 1

Answer:

She finished swimming lesson at 2:15 p.m.

and reading book at 2:50 p.m.

Step-by-step explanation:

I hope this helped (:

Answer 2

Lola finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Lola's swimming class began at 1:30 p.m. and lasted 45 minutes.

She then spent 35 minutes reading a book.

To determine the time did she finish her swimming lesson and the time did she finish reading.

swimming  end time = began time + class duration

swimming  end time = 1:30 p.m. + 45 minutes

swimming end time = 2:15 p.m.

reading end time = began time + reading duration

reading end time = 2:15 p.m. + 35 minutes

reading end time = 2:50 p.m.

Thus, she finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2


Related Questions

The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:

Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.

Who can read the greatest number of pages in a day?

Ana
Hillary
Roger
Juan

Answers

Ana: 0.15(46) = 6.9 pages per day

Hillary: 0.11(72) = 7.92 pages per day

Roger: 0.12(68) = 8.16 pages per day

Juan: 0.14 (69) = 9.66 pages per day

Ans•

Answer: Juan

Step-by-step explanation:

Step 1: Find how many pages each person read.

ANA

15% of her 46 page book

Whenever you have something% OF something, you just turn the 'of' into a multiplication sign.

15% x 46

Next, turn 15% into a decimal. There are 3 ways to do this. (1. put a decimal point right before the number (2. move it 2 places to the right, (3. just divide by 100. Either way, 15% becomes 0.15

0.15x46= 6.9

Ana can read 6.9 pages in a day.

HILARY

11% of a 72 page book

Same method I used for Ana. turn "of" into multiplication, convert the percentage to a fraction by moving the point 2 places left, and multiply.

**11 is the same as 11.0, which becomes 0.11.**

11% x 72

0.11x72= 7.92

Hilary can read 7.92 pages in a day.

ROGER

12% of 68 pages

of becomes multiply

12% becomes 0.12 because 12 is the same as 12.0, and you move 12 2 places to the left.

now we have 0.12x68= 8.16

JUAN

14% of 69 pages

of becomes multiply, 14 is the same as 14.0, move it 2 places to the left and it becomes 0.14. boom.

0.14x69= 9.66

Juan can read 9.66 pages in a day.

Step 2: Line up all of the numbers and find the biggest one.

Ana: 6.9 pages per day

Hilary: 7.92 pages per day

Roger: 8.16 pages per day

Juan: 9.66 pages per day

9.66 is the greatest number.

Juan can read the most pages per day

Hope this helps :)

Please help 5 points each but beware if you use my points for no reason I'll report you

Answers

Answer:

v=⅓×6×9=18cm² hope it helps

Answer:

The answer is 18

Step-by-step explanation:

If the volume of a pyramid is 1/3 of the value base times height, and we have the measurements of the base and the height, then we fill in the equation like this:

1/3 [6 x 9] = volume

1/3 [54] = volume

18 = volume

The volume is 18

Mr Brown has to pay a $670 power bill by the end of the month. He has 12 days to go before the end of the month. He has already set aside $152 for the bill. He plans to save an equal amount per day for each of the 12 days.

a) what is the minimum amount he should save per day to be able to pay the bill?

b) Convert your answer to a certain currency. $1 in the current currency = $1.35 to the new currency.

Answers

$43.17 is the minimum per day . $58.28 is with new currency
ok didn’t fbifnfneneidnr

Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
here are the answers given
\/
f(x) = −one eighth (x − 2)2 − 2
f(x) = one sixteenth (x − 2)2 + 2
f(x) = one eighth (x − 2)2 − 2
f(x) = −one sixteenth (x + 2)2 − 2

Answers

Answer:

f(x)=1/16(x-2)^2+2

Step-by-step explanation:

The Equation can be written like this:

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...

 f(x) = 1/16(x -2)^2 +2

I need help for my question please

1
Drag each tile to the correct box.
Order the expressions from least value to greatest value.
-4.8×3.2
2+(-1)
V
4.32
-3
-2-(-1)
<


Answers

Answer: -15.36, -1.44, 0.85, 4

Step-by-step explanation:

Step 1: Evaluate (solve) all of the expressions (equations)

#1: -4.8x3.2= -15.36

#2: 2 1/4+ -1 2/5

2 1/4= 2.25

-1 2/5= -1.4

2.25+-1.4

*Whenever you have a +- something, it always becomes -

2.25 - 1.4= 0.85

#3: 4.32÷-3= -1.44

#4: -2 3/5 - -12/5

2 3/5= 2.6

-1 2/5= -1.4

2.6 - -1.4

*Whenever you have 2 minuses like - -, it always becomes a +.

So 2.6 - -1.4 becomes 2.6+1.4

2.6+1.4= 4

Step 2: List from least to greatest.

Okay so the numbers we have are:

-15.36, 0.85, -1.44, 4

The least number is the one farthest away from 0. This number would be -15.36, because, here's a rule to remember:

The "bigger" the negative number looks, the smaller it actualy is beacuse it is farther away from 0. For example, -29 is smaller than -1 even though it looks bigger because -29 is farther from 0. If it were positive numbers, 29 would definitely be greater though.So -15.36 is the smallest or the least.

Next, you see that -1.44 is the next in line because its the only remaining negative number and it has to be smaller than the others, which are positive.

3rd of all, i know that 0.85 comes next on the list because it is smaller than 4. It is still above 0, making it positive.

Finally, 4 is the greatest. It's bigger than 0.85, which obviously is less than 1.  Now here's the list of numbers from least--> greatest:

-15.36, -1.44, 0.85, 4

Now all you have to do is put these numbers into the boxes in order. If it doesn't make sense, try putting the first 2 numbers into the first 2 boxes. By doing this you get -15.36<-1.44, which is a true statment. If you want to go further, put 0.85 in the 3rd bubble to get -1.44<0.85 which is also true. Finally, when you put 4 in the last bubble, you get 0.85<4, which is true. That's how i know my answer is correct.

Hope this helps :))

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it.
Which value could replace x in the table?
__________________________________________________________________
7 – m
23 – m
8(15 – m)
8(15) – m

Answers

The answer is (c) if you need more answers I got you
C is the answer hope it helps

15 Points!!!
The volume of the given right circular cylinder is 256ℼ cubic yards. If h, the height of the cylinder is 16 yards, what is r the radius of the base?
A. 4 yd.
B. 6 yd.
C. 12 yd.
D.16 yd.

Answers

Answer: 4 yards

Step-by-step explanation: The formula for the volume of a cylinder is Pi * Radius squared * height.

If the end result is 256pi, and the height is 16, then the radius must be 4, because 4^2 = 16, and 16*16 = 256, and 256*pi = 256pi.

Please mark as brainliest if this was helpful.

Answer:

r = 4yd (Answer A)

Step-by-step explanation:

The volume of a cylinder of radius r and height h is V = πr²h, and the applicable V value here is 256π yd³.  We divide this by 16 yd to find the area of the base:  16π yd².

The base is a circle of radius r, which is to be determined:

πr² = 16π yd²

This reduces to r² = 16 yd², and so r = 4yd (Answer A)

middle school problem attached :D

Answers

Answer: $638.40

Step-by-step explanation:

45% converted to a decimal is 0.45

0.45 of $1200 = 0.45* $1200 (of in this case means multiply)

0.45 * $1200= $440

Because they said 11% of remaining salary, we have to do:

$1200-$440=$760

Now 11% converted to a decimal is 0.11

5% converted to a decimal is 0.05

So 0.11+0.05

0.11+0.05= 0.16

Now 0.16 *$760=$121.60

Now we find the remaining amount so we subtract: $760-$121.60= $638.40

So our answer is $638.40 left

$638.40


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Sjsusisiiss

Need help with this, explaining how to do it would be very much appreciated. Thanks :)

Answers

A



Exactly one solution

Answer:

Solution: There is exactly one solution, the lines intercept at one point, they are not the same line, so they do not have infinite solutions, and if they were to not intercept, they would have no solution.

Step-by-step explanation:

Set the equations equal

-2x-4=3x+3
     +4      +4

-2x=3x+7

-3x  -3x

-5x=7

/-5

x=-7/5

Plug x back into one of the equations

y=-2(-7/5)-4

y=-6/5

PLEASE HELP!!!!!
The cost of 10 cupcakes at a cake stand is $40. Which graph shows the cost of different numbers of cupcakes at the cake stand?

Answers

40/10=4

Therefore: 1 cupcake costs 4 dollars
It’s 4,
When trying to find out how much one thing is from a group ex: ur question.
You want to divide your first price (40) by the number of items (10) which equals 4
40/10=4

Pls answer the question 15 points

Answers

Answer:

V≈256

Step-by-step explanation:

Given the radius = 4 cm, you can use the formula and come up with the following,

[tex]V=4/3*3*4^3=4/3*64*3 =256*3 /3=256[/tex]≈

Answer:

V=256 cm^3

Step-by-step explanation:

Cycle City charges an initial price of $15 plus $0.75 per house for bike rentals, which is represented by the expression 15 + 0.75h .
Complete the statement to describe the terms...

Answers

Answer: see below

Step-by-step explanation:

h represents the number of houses. How i know this:

(1) the question states that each house costs $0.75. So 0.75h means 0.75 times a number of houses.

(2) h is used because houses starts with h. Also, h can't represent bikes because the "bikes" only appears in 1 number and doesn't have anything per bike. It only appears once.

15 represents the initial price of bike rentals.

- It says in the question, "Cycle City charges an initial price of $15 plus $0.75 per house for bike rentals". All of the information related to what 15 stands for is underlined. "Initial price" means a 1 time price that doesn't repeat. the 0.75 repeats based on how many houses you get.

0.75h represents the total cost for any number of houses.

(1) The question says "$0.75 per house" which means that each house costs 0.75. The h next to the 0.75 only means a number of houses. Whenever you see "something per something", expect the first letter of the 2nd word to be placed after the number.

If it doesn't make sense, let's say that h=1. In other words, we are buying 1 house. 0.75h means 0.75xh, so 0.75x1= 0.75. It's true. 1 house costs 0.75. You can also do 0.75x2, 0.75x3, and so on.

I hope i could help :)))

Answer:

Step-by-step explanation:

h= number of houses

0.75= cost per house

15= the initial price (price first paid)

how do i find the LCD? ( Lowest Common Denominator )

Answers

Answer:

First for example let's say

3 and 15

your going to doing what you do normally for gcf but then make an l and times it if that makes sense

Step-by-step explanation:

To find the Lowest Common Denominator, or LCD, you would start by listing the multiples of two numbers. From there, you would find the smallest integer of the two that are the same. That would be your lowest common denominator because it’s the lowest number that the two given denominators have in common. For example, let’s take the numbers 2 and 5:

Multiples of 2:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50

The two numbers common in the multiples seen above are 10 and 20, because they are multiples of both 2 and 5. However, 10 is less than 20, which would render it to be the lowest common denominator. In cases like this, the lowest integer (the number closest to 0) will always be the LCD.

If you have any further questions, I am open for discussion. Have a nice day!

Please help! I'm like 3 months behind and am trying to crunch in some school, please be fast!!!!

Answers

Answer:

the second option from the top is correct. (the one with the dot on -4)

Step-by-step explanation:

d/-2 + 5 = 7

d/-2 = 7 - 5

d/-2 = 2

d = 2 * -2

d = -4

Answer:

Option 2, d = -4

Step-by-step explanation:

d/-2 + 5 = 7 (subtract 5 from both sides)

d/-2 = 2 (multiply by -2 to both sides)

d = -4

Option 2 is correct.

Brainliest, please :)

please help 8 points each but beware if you use my points for no reason I'll report you

Answers

Answer:

V = 32

Step-by-step explanation:

Comment

I think you should try this one yourself after I post my answer. Estimation is a very valuable tool -- the more you use it, the handier it gets.

Formulas

pi = 3

V = 4/3 * pi * r^3

Givens

r = 2

pi = 3

Solution

V  = 4/3 * pi * r^3                     Substitute values for symbols

V = 4/3 * 3 * 2^3                      Cancel the 3s

V = 4 * 2^3                               Expand the 2s

V = 4 * 2 * 2 * 2                       Find V

V = 32

Explanation -:

In this question we are provided with the radius of a sphere. We are asked to calculate the volume of the sphere.

[tex] \large \: \star\small\boxed{ \rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}[/tex]

Where,

r stand for radius.Assuming π as 3.

[tex] \small\sf{ Volume_{(sphere)} = \dfrac{4}{3} × 3 × 2³}[/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = \dfrac{4}{ \cancel{3}} × \cancel {3} × 8} [/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = 4 \times 8 = 32}[/tex]

[tex] \bull \: \small \underline{ \boxed{\sf{ Volume_{(sphere)} = 32 {cm}^{3} }}}[/tex]

Tracey decides to give $1 to 5 of her close friends everyday she is late for Algebra class. Algebra class meets 3 days a week. Tracey has been late to class everyday for 4 weeks. How much money has she lost?

Answers

Answer:

Tracey has lost $60

Step-by-step explanation:

>Tracey gives $5 every missed class

>She has missed 12 classes

>5(12) is 60

>Tracey owes $60

3 x 4 = 12

12 x 5 = 60 dollars

*HELP* NEED IT TODAY RIGHT NOW*

order the following numbers from least to greatest.

Answers

Answer:

cube root 64, 4.2, sqrt 19

Step-by-step explanation:

cube root of 64 = 4

sqrt 19 = 4.3

Cube root 64, 4.2, square root 19

x/x-2 + x-1/x+1= -1
Can someone walk me through the steps of this problem? Much appreciated. :)

Answers

Answer:

[tex]\large{\boxed{ \sf x = 1, \ x = 0 }[/tex]

Explanation:

 [tex]\sf \Rightarrow \dfrac{x}{x-2\:}+\:\dfrac{x-1}{x+1}=\:-1[/tex]

[tex]\sf \Rightarrow \dfrac{x(x+1)+(x-1)(x-2)}{(x-2)(x+1)}=\:-1[/tex]

[tex]\sf \Rightarrow \dfrac{x^2+x+x^2-2x-x + 2}{x^2 - 2x + x - 2}=\:-1[/tex]

[tex]\sf \Rightarrow 2x^2-2x+ 2=\:-1(x^2 - 2x + x - 2)[/tex]

[tex]\sf \Rightarrow 2x^2-2x+ 2=\:-x^2 + 2x - x + 2[/tex]

[tex]\sf \Rightarrow 2x^2+x^2 -2x - x+ 2-2=0[/tex]

 [tex]\sf \Rightarrow 3x^2 - 3x = 0[/tex]

 [tex]\sf \Rightarrow 3x(x - 1) = 0[/tex]

 [tex]\sf \Rightarrow 3x = 0 , \ x - 1 = 0[/tex]

 [tex]\sf \Rightarrow x = 0 , \ x =1[/tex]

Answer:

x = 0 or x = 1

Step-by-step explanation:

Given equation:

[tex]\dfrac{x}{x-2}+\dfrac{x-1}{x+1}=-1[/tex]

Multiply the two denominators to get the same denominator:

Multiply the numerator of the first fraction by the denominator of the second fraction to get the new numerator of the first fraction.

Multiply the numerator of the second fraction by the denominator of the first fraction to get the new numerator of the second fraction.

[tex]\implies \dfrac{x(x+1)}{(x-2)(x+1)}+\dfrac{(x-2)(x-1)}{(x-2)(x+1)}=-1[/tex]

Add the numerators and keep the denominator so that there is now one fraction:

[tex]\implies \dfrac{x(x+1)+(x-2)(x-1)}{(x-2)(x+1)}=-1[/tex]

Simplify the numerator by expanding the brackets:

[tex]\implies \dfrac{x^2+x+x^2-3x+2}{(x-2)(x+1)}=-1[/tex]

[tex]\implies \dfrac{2x^2-2x+2}{(x-2)(x+1)}=-1[/tex]

Simplify the denominator by expanding the brackets:

[tex]\implies \dfrac{2x^2-2x+2}{x^2-x-2}=-1[/tex]

Multiply both sides by the denominator of the left side:

[tex]\implies 2x^2-2x+2=-1(x^2-x-2)[/tex]

Simplify and move everything to the left side:

[tex]\implies 2x^2-2x+2=-x^2+x+2[/tex]

[tex]\implies 3x^2-3x=0[/tex]

Factor:

[tex]\implies 3x(x-1)=0[/tex]

Therefore:

[tex]\implies 3x=0 \implies x=0[/tex]

[tex]\implies x-1=0 \implies x=1[/tex]

Therefore, x = 0 or x = 1

The bottom part of this block is a rectangle or prism. The top part is a square pyramid. You want cover the block entirely with paper. How much paper do you need?

Answers

Answer:

324

Step-by-step explanation:

((7*6) *4) + ((6*5) *4) + (6*6) =?

(42*4) + (30*4) + (6*6) =?

168 + 120 + 36 =?

324 =?

Basically, you need to find the area of all sides and add it up.

Answer:

324 sheets of paper

Stepheet-by-step explanation:

8th grade word problem!! 100 POINTS+BRAINLIEST: just write out the steps and explain in simple language :)) Answers for the sake of points will be reported

Answers

(i) Equation :  y = 6.25x + 65

(ii) Price of each ticket : $6.25

(iii) Money originally in the box : $65

Explanation:

Here from table, identify the coordinates given.

Coordinates:

(7, 108.75)(13, 146.25)(18, 177.50)

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope \ (m) : \dfrac{146.25-108.75}{13-7} = 6.25[/tex]

Slope is also the price of each ticket which is $6.25

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\rightarrow \sf y - 108.75 = 6.25(x - 7)[/tex]

[tex]\rightarrow \sf y - 108.75 = 6.25x - 43.75[/tex]

[tex]\rightarrow \sf y = 6.25x - 43.75 + 108.75[/tex]

[tex]\rightarrow \sf y = 6.25x +65[/tex]

To find the amount of money in the box originally, insert x which represents number of tickets sold as 0.

Originally amount of money:

[tex]\rightarrow \sf y = 6.25(0) +65[/tex]

[tex]\rightarrow \sf y = 65[/tex]

Hence, there were $65 in the box before any tickets were sold.

Number 1 is the answer

Please answer this someone so I can get out of summer school please!!!
A graph titled Arnie's Airplane has time (minutes) on the x-axis and distance (miles) on the y-axis. A line goes through points (0, 0) and (2, 10). A 2-column table with 3 rows titled Bernie's Biplane. Column 1 is labeled Time (minutes) x with entries 3, 5, 8. Column 2 is labeled Distance (miles) y with entries 21, 35, 56.
Find each slope from the graph and table to compare the constant speeds of the two airplanes.

What is the constant speed (slope) of Arnie’s airplane?

What is the constant speed (slope) of Bernie’s biplane?

Who flew faster?

Answers

Answer:

5,7, bernie

Step-by-step explanation:

its right bc ik it is lol

5, 7, Bernie’s
Hope this helps

Find the surface area of the regular hexagonal prism.

Answers

Answer:

2ah + 3√3a, 2,

use this formula^

You'll get the answer

133.3

Answer:

25.5

Step-by-step explanation:

i passed

CORRecT ANSWERS ONLY. What is the value of x?

Answers

Answer:

x =5.25

Step-by-step explanation:

Comment

So you want to find x? If the scale factor is 1.75 it means that you multiply whatever dimension on Figure A by 1.75 to get the corresponding dimension on B.

Formula

x = 1.75 * 3

Solution

x = 1.75 *  3

x = 5.25

X=5.25

Trust me I did this problem and I got it correct

Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect square? Use x² -4x+4 as an example

Answers

Answer: Vertex : Maximum (2, 0)

Rules:

(x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²x² + 2dx = (x + d)² - d²   and  x² - 2dx = (x - d)² - d²

Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

1(x-2)^2+0 is the vertex form

5, minus, start fraction, t, divided by, 3, end fraction when t=12

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow Final \:\:Value = 1\: [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The statement can be represented as :

[tex]\qquad \tt \rightarrow \: 5 - \dfrac{t}{3} [/tex]

[ for t = 12 ]

[tex]\qquad \tt \rightarrow \: 5 - \dfrac{12}{3} [/tex]

[tex]\qquad \tt \rightarrow \: 5 - 4[/tex]

[tex]\qquad \tt \rightarrow \: 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The answer is this is 1

4.2v - 5 - 6.5v
simplify the expression

Answers

If you subtract 6.5v from 4.2v it will be -2.3v-5 so the answer is -2.3v-5
5-2.3v because you combine like terms

How to Calculate Amortization? 2 page is just info need help on 1 page

Answers

20?

Step-by-step explanation:

edg.e

20! (Sorry if im wrong)

8TH GRADE GEOMETRY:100 POINTS+BRAINLIEST: Please answer the question and explain how you did it. Also, please tell me what a "radii" is. Any absurd answers for the sake of points will be reported thanks :)) !!!

Answers

Answer:

Option B       1 : 3

Step-by-step explanation:

Volume formulas & definitions:

To solve this problem, we must remember the formulas for volume of each shape:

[tex]V_{cylinder}=\pi r^2h\\V_{cone}=\frac{1}{3} \pi r^2 h[/tex]  where r represents the radius of the circular part of the shape, and h represents the height of the shape (the plural of height is "heights", and the plural of radius is "radii")

So, when the question states that the shapes "have congruent heights and radii" it means that the height of both objects is the same, and the radius of both objects is the same.

Ratios

To find the ratio of the volume of the cone to the volume of the cylinder, we must setup the ratio.  Ratios can be setup as a fraction where the first quantity is the numerator (top of fraction), and the second quantity is the denominator (bottom of the fraction):

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3} \pi r^2 h} {\pi r^2 h}[/tex]

Since the pi, the "r", and the "h" are the same in both the numerator and denominator (and since there is only multiplication & division in the fraction) these common factors can cancel, and reduce the fraction to the following:

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3}} {1}[/tex]

Any number divided by 1 doesn't change, so one-third divided by 1 is still one-third.

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\frac{1}{3}[/tex]

Other representations of ratios

Lastly, we must remember that a ratio an also be written with a colon symbol, where the numerator is written first, and the denominator is written second.

So, the ratio of the volume of the cone to the volume of the cylinder is:

1 : 3

should be answer B shahs

Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?

Answers

The answer to this is: Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at -24.
This is because when you want to represent division in a number line you must always start from the zero count divisor until you reach the dividend.
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work? Draw a chain of bounces to the right, 12 units wide, starting at –24 and ending at 12. Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at –24. Draw a chain of bounces to the right, 12 units wide, starting at 0 and ending at 24. Draw a chain of bounces to the left, 12 units wide, starting at 24 and ending at 0.

Which equations have a greater unit rate than the rate represented in the table? x y 3 2 6 4 9 6

Answers

Answer:

Any equation with a slope greater than ²/₃

Step-by-step explanation:

Given table:

[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 3 & 2 \\\cline{1-2} 6 & 4 \\\cline{1-2} 9 & 6 \\\cline{1-2} \end{array}[/tex]

The unit rate is a ratio that compares the first quantity to one unit of the second quantity.  The unit rate is also the slope of a linear equation.

Linear equation

[tex]y = mx + b[/tex]

where:

m is the slopeb is the y-intercept

To find the slope, take two ordered pairs from the table:

[tex]\sf let \: (x_1,y_1)=(3,2)[/tex]

[tex]\sf let \: (x_2,y_2)=(6,4)[/tex]

Substitute them into the slope equation:

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-2}{6-3}=\dfrac{2}{3}[/tex]

Therefore, the unit rate is ²/₃.

Any equation with a slope greater than ²/₃ is an equation with a greater unit rate than that represented in the given table.

Slope of table

(3,2)(6,4)

Slope

m=4-2/6-3m=2/3

Any equation having slope greater than 2/3 has higher unit rate than that of table

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