Explain how you know that 21/30 is greater than 2/3?

Answers

Answer 1
Hello, 

One way to do this is to convert the fraction 2/3 into 20/30 by multiplying it by ten.

Then, it is clear to see that 21/30 is more than only 20/30.

Good question,
MrEQ
Answer 2
It’s not greater it’s less for example 21/30 needs 9 more to equal 1 whole and 2/3 needs 1 to make one whole making it greater than 21/30

Related Questions

If a piece of cardboard is 6 in long and I line up a hundred and ten of them what would be the length of my row and feet

Answers

6in x 110 = 660in = 55ft

HELP


How many pieces 3/7 of a foot each can I make out of 7/2 feet of rope?

Answers

Your answer is (8 1/6) hope it helps and have a great day!

What is the area of this circle

Answers

The formula to find the area of a circle is A =
[tex]\pi \times {r}^{2} [/tex]
We can follow this formula to find the area of a circle.

Area of the circle:

153.94
(Approximate)

7in*7in=49square in

than multiply by pi

hope this helps


The cost of 3 pounds of grapes is $6.57 what is the constant of proportionality that relates that cost in dollars,y,to the number of pounds of grapes,x?

Answers

2.19x=y

for one pound of grapes it would cost $2.19,
for two pounds of grapes it would be $4.38,
and for three pounds of grapes would be $6.57.

Which trinomials are perfect square trinomials? Select each correct answer.
A) m^2+10m+100
B) m^2+10m+25
C) m^2+24m+144
D) m^2+36m+60

Answers

a perfect square trinomial can be factored into the form
[tex](a+b)^2[/tex]
the expansion is
[tex]a^2+2ab+b^2[/tex]
so if we say that a=m then
[tex](m+b)^2=m^2+2mb+b^2[/tex]
basically, if you take the coefient (number part) of the 2mb term and divide it by 2 and square it, you should get the last term

(coefient is the number part, like in 4m, 4 is the coefient)

A.
[tex]m^2+10m+100[/tex]
10m is the 2mb term
10 is the coefient, 10/2=5, 5^2=25, 25≠100, so not a perfect square trinomial

B.
[tex]m^2+10m+25[/tex]
as from before, 10 is coefient, 10/2=5, 5^2=25, 25=25, yep, this is perfect square trinomial

C.
[tex]m^2+24m+144[/tex]
24m is the 2mb term, 24 is coefient, 24/2=12, 12^2=144, 144=144, yep this is a perfect square trinomail

D.
[tex]m^2+36m+60[/tex]
36m is the 2mb term, 36 is the coefient, 36/2=18, 18^2=324, 324≠60, so not a perfect square trinomial



answers are B and C

112=7x+7(-4x-17)
So i need help with this and a worksheet that relates to these types of problems i got a 10% on it please helpppp

Answers

112= 7x + 7(-4x-17)
multiply the 7 by everything in parentheses
112=7x+(7*-4x)+(7*-17)
Positive multiplied by a negative is negative
112=7x-28x-119
combine like terms
112= -21x-119
add 119 to both sides
231= -21x
divide both sides by -21
-11= x

Check:
Substitute answer in equation
112= 7x + 7(-4x-17)
112= 7(-11)+7[(-4)(-11)-17]
112= -77 + 7(44-17)
112= -77 + 7(27)
112= -77 + 189
112=112

Hope this helps! :) Good luck with math!!

The heights of all the 12-year-old boys in the United States are normally distributed with a mean of 59 inches and a standard deviation of 3 inches. What is the probability that a boy chosen randomly from that age group will have a height greater than 65 inches?

Answers

65 inches is 2 standard deviations away from the mean (59 + 3 + 3 = 65).  In a normal distribution, 95% of data falls within 2 standard deviations from the mean.  The remaining for the tails would be 100-95=5%.  This would include both tails, however.  We just want the upper level, so we divide by 2:  5/2 = 2.5%.  The probability is 2.5% or 0.025.

Ryan made 65 ounces if apple jelly. He put the same amount of jelly into 6 jars. How much jelly is in each jar?

Answers

65 divided by 6 is your answer of 10.83
To find the answer, we need to divide the total amount of jelly Ryan has by the amount of jars he has. This would create the equation:
65 oz / 6 jars

And now we solve:
65 / 6 = 10.83 oz


The answer is: There are 10.83 oz in each jar.

87.5% of what number is 49?

Answers

Answer=56

87.5%*y=49
.875y=49
____   ___
.875    .875
divide both sides by .875
y=56


A piece of wood is 3/4 meter long is being cut into smaller pieces that are each 1/10 meter long. Which expression is one of the steps in determining how many pieces can be cut?

A. 3/4 • 1/10

B. 3/4 • 10/1

C. 10/1 • 4/3

D. 1/10 • 3/4


Answers

Hello!

The expression that is one of the steps in determining how many pieces can be cut is B. 3/4 • 10/1

A right circular cylinder has a height of ​ 19 3/4 ​ ft and a diameter ​ 1 2/5 ​ times its height.

What is the volume of the cylinder?

Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Answers

[tex]v= \pi r^{2} h=* 0.7^{2}*19.75= 30.40276 (30.4) [/tex]

Height of cylinder = [tex] 19\frac{3}{4} =19.75 [/tex]ft

Diameter of cylinder = [tex] 1\frac{2}{5} [/tex]times its height = [tex] 1.4 * 19.75=27.65 [/tex]ft

Now Radius = half of diameter = [tex] \frac{27.65}{2} =13.825 [/tex]ft


Now we have to find the Volume of cylinder

formula for Volume of cylinder is

Volume of cylinder = [tex] \pi r^2 h [/tex]

let's plug the values

Volume of cylinder = [tex] (3.14)*(13.825)^2 *(19.75) [/tex]

Plug the values in calculator

= 11852.9657 cubic feet

Round off the answer to two decimal places(i.e. hundredth)

= 11852.97 cubic feet


A rectangular field is 0.45 kilometers long and 0.4 kilometers wide. What is the area of the field in square meters? Do not round your answer. Be sure to include the correct unit in your answer.



Answers

area of rectangle = l * w

here l=0.45 km

w=0.4 km

area = 0.45 * 0.4 = 0.18 sq. km

Answer : Area = 0.18 km²

Find the missing value to the nearest hundredth of a degree. Help!!

Answers

we have that 
cos(alfa)=0.2546
arc cos (0.2546)=75.2501---------- > 75.25°
the answer is 75.25°

Answer:

The answer above for question 7 is also correct its B. 30 degrees. Because that anser is hard to find on here.

Step-by-step explanation:

Kim and her two brothers each use 1 1/2 cups of milk for breakfast how many fluid ounces of milk do they use in 4 days?

Answers

1 cup =8oz 1 1/2 cup=12oz. 12+12+12=36. 36×4=144oz

Using the variables 'x' and 'y', write an equation for the situation. Your school sold adult and student tickets for a high school play. They sold a total of 782 tickets.

Answers

x+y=782

Is there any other info given or no?

Step 1: Assign variable for the unknown that we need to find

Let ' x ' be the number of adult tickets

and Let ' y ' be the number of student tickets

Step 2: Use the given sentence to write an equation.

Sentence: "Your school sold adult and student tickets for a high school play. They sold a total of 782 tickets."

[tex] Number \; of\; adult\; tickets + \; Number \; of\; student\; tickets\; =\; Total\; number\; of\; tickets\\ \\ x + y = 782 [/tex]


Using the given points, determine the slope. (5,-6)and(2,15)

Answers

Subtract the y-coordinates. This is the rise.
Subtract the x-coordinates in the same order. This is the run.
Slope = rise/run.

Subtract the y-coordinates: -6 - 15 = -21. rise = -21
Subtract the x-coordinates in the same order:5 - 2 = 3. run = 3

slope = rise/run = -21/3 = -7

Lee baked 50 cookies. He gave some to a friend and ate 50% of the remaining cookies. He had 15 cookies left. What percentage of the cookies did he give to his friend?

Answers

He had 50 cookies
He ate 50% of the remaining cookies.
He had 15 cookies left

15 = 50% so 30 = 100%

He had 30 left after giving cookies to his friend.
50 - 30 = 20

He gave 20 cookies to his friend.
20 is 40% of the total amount of cookies.

He gave his friend 40% of the cookies

I need help for 2, 4,7 and 9 !! SOLVE FOR X !!! Thank you

Answers

2 is 145 4 is 18 7 is 30 and 9 is 162. just look at the opposites 

how many minutes are in the time interval from 7:09 a.m. to 10:36 a.m.

Answers

7.09 AM - 10.36 AM

In-between these two times, there are 3 hours and 27 minutes.

This calculates to 207 minutes.

Mrs. Jackson earned a $500 bonus s for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first weeks checks including the bonus is $1,204, how mqny hours did Mrs. Jackson work?

Answers

Final answer:

To find the number of hours Mrs. Jackson worked, subtract the bonus from her total earnings and divide the result by her hourly rate. Mrs. Jackson worked 32 hours.

Explanation:

To find the number of hours Mrs. Jackson worked, we need to subtract the bonus from her total earnings and divide the result by her hourly rate. Let's set up an equation:

Total earnings - Bonus = Hourly rate * Number of hours worked

$1204 - $500 = $22 * ">Number of hours worked

$704 = $22 * Number of hours worked

Divide both sides of the equation by $22:

Number of hours worked = $704/$22 = 32 hours

Therefore, Mrs. Jackson worked 32 hours.

Final answer:

Mrs. Jackson worked 32 hours in total.

Explanation:

To calculate the number of hours Mrs. Jackson worked, we need to subtract the bonus from her total earnings and then divide the result by her hourly rate.

Let's set up an equation for this:

Total earnings - Bonus = Hourly rate * Hours worked

Substituting in the given values:

1204 - 500 = 22 * Hours worked

Simplifying the equation:

704 = 22 * Hours worked

Dividing both sides by 22 gives:

Hours worked = 704 / 22 = 32

Therefore, Mrs. Jackson worked 32 hours in total.

Bill is shopping for folder, notebook, and pencils for the first day of school. a notebook costs 4 times as much as a folder. a notebook costs 2 times as much as a set of pencils. each folder costs $ 2 . determine the costs for 1 folder, 1 notebook, and 1 set of pencils.

Answers

So if you take the 2$ for the folder and multiply it by 4 you get the cost of the notebook 8$ the you know that a set of pencils is half the cost of a notebook so you divide 8$ by 2 and get 4. Now you know that its 2$ for  folder 8$ for a notebook and 4$ for a set of set of pencils 2$+4$+8$=14$

how do you compare y intercepts and rates of change

Answers

the y-intercept can't be compared to the unit rat because they are different, very different. the Y-intercept gets added to the product that is produced by the unit rate.

The rate of change is represented by the slope of a line and the y-intercept is the value of y at the point where the line crosses the y-axis. Hope this helps!

what is the length of line segment ab

Answers

The length of the line segment here is 13.

Distance Formula: 
√((x₂ - x₁)² + (y₂ - y₁))
√((5 - 0)² + (0 - 12)²) = 13

Answer:

The length of line segment is 13 units

Step-by-step explanation:

Given the line segment AB.

we have to find the length of line segment.

The coordinates of A and B are (0, 12) and (5, 0) respectively.

By distance formula,

[tex]\text{The distance between the points }A(x_1,y_1)\text{ and } B(x_2, y_2)[/tex]

[tex]AB=\sqrt{(x_2-x_1)^2+y_2-y_1)^2}[/tex]

[tex]AB=\sqrt{(5-0)^2+(0-12)^2}[/tex]

[tex]AB=\sqrt{25+144}=\sqrt{169}=13 units[/tex]

Hence, the length of line segment is 13 units.

4 points: A,B,C and D are marked in order on a line such that AB:AC = 3:7 and BD:CD= 9:2. If CD is 100cm long, find the length of AB.

Answers

You can create equations to find the lengths and how they compare.

The line is in order of A-B-C-D
Both ratios share BC so we can use that to transfer from one ratio to the next.
  
AB =3x  AC=7x   
subtract them to find the measurement of BC

AC- AB = BC
7x-3x = 4x .  BC = 4x

BD= 9y CD=2y

Subtract them to find the measurement of BC

BD - CD = BC

9y-2y =7y  BC =7y

CD is 100cm so   2y= 100 or y=50

substitute y for bc
7(50)=350 

substitute BC for terms of x

350 = 4x

divide both sides by 4 
X= 87.5

Substitute for AB
AB = 3x

AB = 3(87.5) = 262.5cm

Which of the sets of ordered data represents this box-and-whisker plot?


65, 65, 70, 75, 80, 80, 85, 90, 95, 100
65, 70, 75, 80, 80, 85, 90, 95, 100
65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100
65, 70, 75, 80, 85, 90, 95, 100

Answers

50 llllllllllllllllllllllllllllllllllllllllllllllll

the calculated five-number summaries with the given box-and-whisker plot, the set of ordered data that matches the plot is: 65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100

To determine which set of ordered data represents a given box-and-whisker plot, we need to understand how a box-and-whisker plot is constructed.

A box-and-whisker plot shows the distribution of a dataset by displaying the five-number summary: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. Here's how these values are calculated:

1. Arrange the data in ascending order.

2. Find the median (Q2), which is the middle value of the dataset.

3. Find the first quartile (Q1), which is the median of the lower half of the dataset (excluding the median itself).

4. Find the third quartile (Q3), which is the median of the upper half of the dataset (excluding the median itself).

5. Determine the minimum and maximum values.

Let's calculate the five-number summary for each set of ordered data:

1. For the dataset: 65, 65, 70, 75, 80, 80, 85, 90, 95, 100

  - Minimum: 65

  - Q1: 70

  - Median: 80

  - Q3: 90

  - Maximum: 100

2. For the dataset: 65, 70, 75, 80, 80, 85, 90, 95, 100

  - Minimum: 65

  - Q1: 75

  - Median: 80

  - Q3: 90

  - Maximum: 100

3. For the dataset: 65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100

  - Minimum: 65

  - Q1: 70

  - Median: 77.5 (average of 75 and 80)

  - Q3: 85

  - Maximum: 100

4. For the dataset: 65, 70, 75, 80, 85, 90, 95, 100

  - Minimum: 65

  - Q1: 72.5 (average of 70 and 75)

  - Median: 82.5 (average of 80 and 85)

  - Q3: 92.5 (average of 90 and 95)

  - Maximum: 100

Comparing the calculated five-number summaries with the given box-and-whisker plot, the set of ordered data that matches the plot is: 65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100.

ax+z=aw-y solve for a

Answers

I don’t think you wrote the problem correct, I’m a freshmen in college and your problem is stating A*X+Z=A*w-y to solve this problem we would need to know the givens. I may be completely spacing on this being the fact a tool a gap year before going back to school but this doesn’t seem right, sorry

how to find the height of a cylinder knowing the volume

Answers

Hello!

The formula for volume of a cylinder is:

V = pi × r^2 × h

You'll do the opposite to find the height:

H = V ÷ pi × r^2

As you can see, you need the volume and the radius to find the height.

Lorenzo plans to purchase three identical shirts. The shirts are on sale for 20% off. Let c represent the cost of each shirt. Which expressions can Lorenzo use to calculate his total cost for the three shirts after the discount?

Select each correct answer.


A. 0.80(3c)

B. 3c−0.20(3c)

C. 3(c−0.20c)

D. 1.20(3c)
please help

Answers

A. 0.80(3c)
B. 2c-0.20(3c)
C. 3(c-0.20c)

I'm 100% sure that these are the answers. ♡

Answer:

Options A, B and C are correct choices.

Step-by-step explanation:

Let c represent the cost of each shirt.

As Lorenzo bought 3 shirts, so the cost of 3 shirts will be 3c.    

We have been given that the shirts are on sale for 20% off, so the total cost of three shirts after discount will be 3c minus 20% of 3c.

We can represent this information in an equation as:

[tex]\text{Total cost for the three shirts after the discount}=3c-(\frac{20}{100}\times 3c)[/tex]

[tex]\text{Total cost for the three shirts after the discount}=3c-(0.20\times 3c)[/tex]

[tex]\text{Total cost for the three shirts after the discount}=3c-0.60c[/tex]

[tex]\text{Total cost for the three shirts after the discount}=2.40c[/tex]

Let us see our given choices one by one.

A. 0.80(3c)

Upon simplifying our given expression we will get,

[tex]0.80(3c)=2.40c[/tex]

Therefore, option A is a correct choice.

B. 3c−0.20(3c)

We have already seen that total cost of 3 shirts after discount will be 3c minus 20% of 3c and after simplifying our expression we will get,

[tex]3c-0.20(3c)=3c-0.60c=2.40c[/tex]

Therefore, option B is a correct choice as well.

C. 3(c−0.20c)

Upon simplifying our given expression we will get,

[tex]3(c-0.20c)=3c-0.60c=2.40c[/tex]

Therefore, option C is a correct choice as well.

D. 1.20(3c)

Upon simplifying our given expression we will get,

[tex]1.20(3c)=3.60c[/tex]

Since total cost of 3 shirts after discount is 2.40c, therefore, option D is not a correct choice.

11 + 5 + 22 × 12 − 10

Answers

Follow PEMDAS

22 x 12 = 264

11 + 5 = 16

264 + 16 = 280

280 - 10 = 270

270 is your answer

hope this helps

Owen settled on a price of $7,870 for a new car. The dealer had to add 4.5% sales tax to this price, but allowed a $1,200 trade-in for Owen's old car. Although not a universal practice, please add the sales tax to the price of the new car first and then deduct the trade- in value. If the dealer required a 15% down payment, calculate the amount of the purchase price that Owen financed.

Answers

Final answer:

To find the amount that Owen financed, we first calculate the sales tax, add it to the initial price, deduct the trade-in value, and then calculate the percent of the final price that Owen needs to finance.

Explanation:

To solve the problem, we first need to calculate the total cost of the car by adding the sales tax to the original price. Sales tax is calculated as follows: $7,870 * 4.5/100 = $354.15. So, the total cost before the trade-in is $7,870 + $354.15 = $8,224.15.

Next, we deduct the trade-in value of the old car, which is $1,200. The price after trade-in is, therefore, $8,224.15 - $1,200 = $7,024.15.

Finally, the dealer requires a 15% down payment. The amount Owen needs to finance is therefore 85% of the final price (100% - 15% = 85%). The financed amount is: $7,024.15 * 85/100 = $5,970.53.


Learn more about Sales Tax and Financing here:

https://brainly.com/question/32497551

#SPJ12

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