What do we divide the numerator and denominator by to simplify
12/30 to lowest terms? (What is the largest number we can divide both the numerator and denominator by?)

Answers

Answer 1

Answer:

The factors of 12 are 1, 2, 3, 4, 6, and 12.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The largest number that both 12 and 30 have in common is 6.

So, we can divide both the numerator and denominator by 6:

12/30 ÷ 6/6 = 2/5

Therefore, 12/30 simplified to lowest terms is 2/5.

Answer 2

Answer:

Divide the numerator and denominator by 6:

[tex] \frac{12}{30} = \frac{2}{5} [/tex]

Step-by-step explanation:

12 = 2 × 2 × 3

30 = 2 × 3 × 5

GCD of 12 and 30 = 2 × 3 = 6


Related Questions

Rewrite each expression using the distributive property.then combine like terms if possible
-8(x+4)+5(x+4)

Answers

Answer:

-3(x + 4)

Step-by-step explanation:

1. First, combine the like terms:

-8(x + 4) + 5(x + 4)

-3(x + 4)

2. Next, distribute:

-3(x + 4)

-3x + 12

3. Finally, use the common factor:

-3x + 12

-3(x + 4)

Answer: -3(x + 4)

Step-by-step explanation:

Can someone help me please, I don't understand this.

Answers

think of cordinate planes if that helps

Identify the least value, first quartile, median, third quartile, and greatest value of the data.
5, 1, 4, 0, 9, 0, −8, 5, 2, 4, −1, 10, 7, −5

Answers

Answer: 10 is the greatest and -8 is the least

Step-by-step explanation:

10 is the biggest number and even though -8 is a big number when you have it in the "-" the bigger the number is the less they are

help ty................................................................................

Answers

16 stars should be black and 4 stars should remain white. Because there is 20 stars, and 20 times 4/5 is 16

You need 11 stars for 4/5 of the total stars to black.

What is the sum of -2x³ + x-3 and x³ - 3x - 4?
(a) Show your work.
(b) Is the sum of -2x³ + x-3 and x³ - 3x - 4 equal to the sum of x³ - 3x - 4 and
-2x³ + x-3? Explain your answer.

Answers

Answer:

Step-by-step explanation

For the first sum you nee to find the same coefficient or add or subtract a number

[tex]-x^3 -2x -7[/tex]

This the simplified version of the sum above. I have basically subtracted -2x^3 by x^3 to make -x^3. Then I have subtracted -3x and x to make -2x. Finally I have added -4 and -3 as the rule suggests to add two numerals the minus symbol on both of them.

The next sum we have to simplify both numerals so we know if both sum’s answer are

[tex]-x^3 -2x -7-x^3 -2x -7[/tex]

After simplifying them,  both of them have the same answer, so the statement is true. To explain this, we could say that the sums were basically rotated around to trick us but the answer is still the same

You have to simplify them

HERE IT IS!!! 50 points

Answers

Answer:

166 in2

Explanation:

A=2(wl+hl+hw)=2·(4·5+7·5+7·4)=166

i cannot answer ss 1

but ss 2 is going to be t <_ 12 (less than or equal to 12) this is because he can run AT MOST 27 miles, meaning he cannot run over 27 miles, give that it already gives you 15 miles, subtract 15 from 27, and you get 12, which is the maxiumum number of miles he can run

How many yards are in two and one-half miles?

A 4,400 yards
B 4,928 yards
C 5,280 yards
D 6,160 yards

Answers

A. 4,400

Hopefully, I correctly answered your question! If I did, I would really appreciate Brainliest. You can give Brainliest by clicking the crown (it only works if there’s two people who answered.) I would also appreciate if you rated my answer 5 stars, and clicked the heart!

One mile is equal to 1,760 yards. Therefore, two and one-half miles can be calculated as:

2.5 miles * 1,760 yards/mile = 4,400 yards

So, the answer is A) 4,400 yards.

Pls help ASAP I will give 20 points!

Quadrilateral A'B′C′D′ is the result of dilating quadrilateral ABCD about point P by a scale factor of 2.

Answers

Answer:

Line CD and C'D' are both perpendicular to the x-axis.

The dilated quadrilateral A'B'C'D' is created by enlarging quadrilateral ABCD about point P using a scale factor of 2. The lengths of the sides are multiplied by 2, while the angles remain the same.

The dilated quadrilateral A'B'C'D' is formed by enlarging quadrilateral ABCD about point P using a scale factor of 2.

To understand the concept, let's break it down step-by-step: 1. A dilation is a transformation that changes the size of a figure while keeping its shape intact.

2. In this case, the original quadrilateral ABCD is being dilated, resulting in a new quadrilateral A'B'C'D'.

3. The point P serves as the center of dilation, around which the quadrilateral is enlarged or reduced.

4. The scale factor of 2 means that the lengths of the sides of the original quadrilateral are multiplied by 2 to obtain the lengths of the sides of the dilated quadrilateral.

5. For example, if side AB has a length of 5 units in ABCD, then side A'B' will have a length of 10 units in A'B'C'D' since 5 multiplied by 2 is 10.

6. Similarly, all other sides of the dilated quadrilateral will be twice the length of the corresponding sides in the original quadrilateral.

7. The angles of the quadrilateral will remain the same, as dilations only affect the lengths of the sides, not the angles. 8.

The resulting dilated quadrilateral will be similar to the original quadrilateral, meaning that the corresponding angles will be equal, and the corresponding sides will be proportional.

So, in summary, the dilated quadrilateral A'B'C'D' is created by enlarging quadrilateral ABCD about point P using a scale factor of 2. The lengths of the sides are multiplied by 2, while the angles remain the same.

To know more about quadrilateral here

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HELP me please, ASAP

Answers

The answer is 449100 pounds
New weight = 450000 - (0.2 / 100) x 450000
New weight = 450000 - 900
New weight = 449100 pounds

449100 pounds

Sebastian tosses three coins. What is the probability he tosses two heads and one tail?

Answers

Answer:

when 3 coins are tossed, the probability of two heads and one tail is 3 8.

Step-by-step explanation:

H= heads
T=Tails

There are 8 possible outcomes of tossing 3 coins which are
HHH,HHT,HTH,HTT, TTT,TTH,THT, THH
Now if we look at all these possibilities, there are only 3 that give 2 heads and one tail which are TTH, HTT, and THT.
So there is a 3/8 chances of getting 2 Heads and 1 tail

ANSWER: 3/8 or .375

Rewrite each expression using the distributive property.Then combine the like terms if possible

3(5x+2)

Answers

Answer:15x+6
1.)distribute the 3 to the 5x (3*5x=15x)
2.)distribute the 3 to the 2 (3*2=6)
3.)——>15x+6
(You cannot combine like terms)
Answer: 15x+6

3(5x+2)
3•5=15
3•2=6

Help, does anyone know the answer to this one?

Answers

Answer:

.

Step-by-step explanation:

What is the most appropriate measure of variability of the data?

Answers

I think its range because it’s different numbers in each side
standard deviation is the most appropriate measure of variability of the data

Consider the set of all 4-digit numbers. How many have at least one zero digit?

Answers

Answer: 2439

I think what you want is, all the four digits numbers which can be formed with the help of the ten digits i.e. {0, 1, 2, 3, ……. … … , 9} which contains 0 at least once in it. Taking this way, to find all the required numbers, we may proceed as follows;

To form four digits numbers means to fill up four vacant places say X, X, X, X with the help of these ten digits. Since nothing has been said about repetition or non-repetition of the digits, so I take it that repetitions of digits are allowed so that all possible numbers come into consideration. Now;

1st vacant place can be filled up by 9 ways (as 0 can not come to this place otherwise number formed will be of three digits). Further,

2nd, 3rd and 4th vacant place each can be filled up by 10 ways (each)(as 0 may also come to these places).

Hence, total no. of numbers of four digits = 9 .10.10.10 = 9000.

Next the total no. of numbers of four digits without zero at any place = 9. 9. 9. 9 = 6561.

Therefore, required no. Of numbers of four digits having at least one zero = 9000 - 6561 = 2439.

Step-by-step explanation:

Hope this helped you. Please brainliest if possible. And tell me if I am wrong. I would really appreciate if I can have some thanks or rating too! :D

Could someone help me please quickly

Answers

$6 for each pound of almonds

Answer:

Each Almond costs $1.5

Each Jelly bean costs $3.75

Step-by-step explanation:

Let Almonds be a

Let Jelly beans be j

- For the first case;

3$ of Almond + 2$ of Jelly beans = $12

[tex]{ \tt{3a + 2j = 12 - - - eqn(i)}}[/tex]

- For the second case;

5$ of Almond + 6$ of Jelly beans = $30

[tex]{ \tt{5a + 6j = 30 - - - eqn(ii)}}[/tex]

✍️ From equation (i), make 2j the subject;

[tex]{ \tt{2j = 12 - 3a - - - eqn(iii)}}[/tex]

✍️ Substitute 6j in eqn (ii) with 2j in eqn (iii)

[tex]{ \tt{5a + 6j = 30}} \: \: \: \: \: \: \\ \\ { \tt{5a + 3(2j) = 30}} \\ \\ { \tt{5a + 3(12 - 3a) = 30}} \\ \\ { \tt{5a + 36 - 9a = 30}} \\ \\ { \tt{ - 4a + 36 = 30}} \\ \\ { \tt{ - 4a = - 6 }} \\ \\ { \tt{a = 1.5}} \\ \\ { \colorbox{silver}{almond = 1.5 \: pounds}}[/tex]

From eqn(iii)

[tex]{ \tt{2j = 12 - 3a}} \\ \\ { \tt{2j = 12 - 3(1.5)}} \\ \\ { \tt{2j = 7.5}} \\ \\ { \tt{j = 3.75}} \\ \\ { \colorbox{silver}{jelly \: beans = 3.75}}[/tex]

(URGENT!) Answers and work please

Answers

Answer:it can be a trapezium it is a quadrilateral

with one set of parallel side isnt the bottom angle 91.5 or its is 88.5

Step-by-step explanation:

PLEASE HELP THIS IS URGENT

What is the surface area of the figure below?

A. 12ft
B. 36ft
C. 54ft
D. 90ft

Answers

A 12 bc both front and back are six so 6+6 = 12
the answer is a. i think

An ice machine produces ice cubes that are 3/4​ inch on each side. What is the volume, in cubic inches, of one ice cube produced by this ice machine?
A. 9/4
B. 27/64
C. 37/4
D. 9/16

Answers

Answer: A

Step-by-step explanation:

Its A 9/4

**Explains**

When you make a choice, the experience from what would have been your second option is called

A. trade-off
B. supply
C. demand
D. opportunity cost

(Btw the answer is D. opportunity cost, I did the test and noticed no one did this question yet so hope this helps :>)

Answers

Answer:

D Is Indeed The Correct option.

Step-by-step explanation:

Answer:

When you make a choice, the experience from what would have been your second option is called

A. trade-off

B. supply

C. demand

D. opportunity cost

I'm just here to secure the answer for other people.

Step-by-step explanation:

You're welcome.

What is the answer to this, can anyone please help?

Answers

Use a graph and plug in the equation. Whatever points you get from it, that’s the answer.

Answer:

Step-by-step explanation:

Substitute all ordered pairs into respective equation:


[tex]-2-3(0)=6\\-2\neq 6[/tex]

[tex](-2,0)[/tex] is not a solution.

[tex]6-3(0)=6\\6=6[/tex]

[tex](6,0)[/tex] is a solution.

[tex]-6-3(-4)=6\\-6+12=6\\6=6[/tex]

[tex](-6, -4)[/tex] is a solution.

[tex]4-3(6)=6\\4-18=6\\-14\neq 6[/tex]

[tex](4, 6)[/tex] is not a solution.

[tex]0-3(-2)=6\\0+6=6\\6=6[/tex]

[tex](0,-2)[/tex] is a solution.

[tex]0-3(6)=6\\0-18=6\\-18\neq 6[/tex]

[tex](0,6)[/tex] is not a solution.

Hope this helps :)

Q1: Create an equation for the problem.
Q2: Combine the like terms in your equations for question 1.

Answers

Equation: x+3+x+1+x+1

Answer: x+5

Hope this helps

Answer: x + 3 + x + 1 + x + 1

Step-by-step explanation: x + 5

identify the errors
(Select all that apply.)
Calculation errors when distributing -1
Calculation errors when distributing h2
Calculation errors when distributing 9h
Calculation errors when combining h2 terms
Calculation errors when combining h terms

Answers

Answer:

1 and 3

Step-by-step explanation:

Answer:

i think i and 3 prolly :0

Step-by-step explanation:

A map is designed with a scale of 2 inch for every 10 miles. If the distance between two towns is 5 inches on the map, how far apart are they?

Answers

Answer: 25 miles

Step-by-step explanation:

Answer:

The answer is 25.

Step-by-step explanation:

Since the scale shows 10 miles for every 2 inches, you can easily figure out that it is 5 miles per inch.


Now, it says two towns are 5 inches apart. With the previous information, you can either multiply 5 inches by 5 miles per inch or think deeper.


Thinking deeper: If there is 4 inches, that is 20 miles. Adding another inch doesn’t add another ten. It adds half of ten and half of ten in 5. 20+5=25

Which choice correctly shows the information from the table on a scatter plot?


The table showing column 1 titled Hours of Sunlight and column 2 titled growth of plant in inches. 8 hours of sunlight shows 1 inch growth, 9 hours of sunlight shows 2 inches growth, 10 hours of sunlight shows 3 inches growth, 11 hours of sunlight shows 3 inches growth, 12 hours of sunlight shows 5 inches growth, 13 hours of sunlight shows 6 inches growth, 14 hours of sunlight shows 7 inches growth, 15 hours of sunlight shows 9 inches growth, and 16 hours of sunlight shows 10 inches growth.

Responses


The graph titled 'Hours of Sunlight and plant growth' showing 'hours of sunlight' from 0 to 17 in increments of 2 on the x-axis and 'growth in inches' from 0 to 12 in increments of 1 on the y-axis has points at (8, 1), (9, 2), (10, 3), (11, 3), (12, 5), (13, 6), (14, 7), (15, 9) and (16, 10).

(OR)

The scatter plot graph titled 'Hours of Sunlight and plant growth' is shown with 9 data points showing a positive relationship. The x-values of the data points extend from 8 to 16, and the y-values of the data points extend from 10 to 1.


- image with description: The graph titled 'Hours of Sunlight and plant growth' showing 'hours of sunlight' from 0 to 17 in increments of 2 on the x-axis and 'growth in inches' from 0 to 12 in increments of 1 on the y-axis has points at (8, 1), (9, 2), (10, 3), (11, 3), (12, 5), (13, 6), (14, 7), (15, 9) and (16, 10). (OR) The scatter plot graph titled 'Hours of Sunlight and plant growth' is shown with 9 data points showing a positive relationship. The x-values of the data points extend from 8 to 16, and the y-values of the data points extend from 10 to 1. - - no response given


The bar graph titled 'Hours of Sunlight and plant growth' showing 'hours of sunlight' from 0 to 17 in increments of 2 on the x-axis and 'growth in inches' from 0 to 12 in increments of 1 on the y-axis has the first bar from 8 to 1, the second bar is from 9 to 2, the third and fourth bars are from 11 to 3, the fifth bar is from 13 to 5.5, the sixth bar is from 14 to 6.8, the seventh bar is from 15 to 7.9 and the eight bar is from 16 to 10.


- image with description: The bar graph titled 'Hours of Sunlight and plant growth' showing 'hours of sunlight' from 0 to 17 in increments of 2 on the x-axis and 'growth in inches' from 0 to 12 in increments of 1 on the y-axis has the first bar from 8 to 1, the second bar is from 9 to 2, the third and fourth bars are from 11 to 3, the fifth bar is from 13 to 5.5, the sixth bar is from 14 to 6.8, the seventh bar is from 15 to 7.9 and the eight bar is from 16 to 10. - - incorrect


The graph titled 'Hours of Sunlight and plant growth' showing 'hours of sunlight' from 0 to 17 in increments of 2 on the x-axis and 'growth in inches' from 0 to 12 in increments of 1 on the y-axis has dashed lines from (0, 0) and rising upwards till (16, 10) and then slopping down till (17, 0).


- image with description: The graph titled 'Hours of Sunlight and plant growth' showing 'hours of sunlight' from 0 to 17 in increments of 2 on the x-axis and 'growth in inches' from 0 to 12 in increments of 1 on the y-axis has dashed lines from (0, 0) and rising upwards till (16, 10) and then slopping down till (17, 0). - - no response given


The graph titled 'Hours of Sunlight and plant growth' showing 'hours of sunlight' from 0 to 17 in increments of 2 on the x-axis and 'growth in inches' from 0 to 12 in increments of 1 on the y-axis has points at (8, 10), (9, 9), (10, 7), (11, 6), (12, 5), (13, 3), (14, 3), (15, 2) and (16, 1).

(OR)

The scatter plot graph titled 'Hours of Sunlight and plant growth' is shown with 9 data points showing a negative relationship. The x-values of the data points extend from 8 to 16, and the y-values of the data points extend from 10 to 1.


- image with description: The graph titled 'Hours of Sunlight and plant growth' showing 'hours of sunlight' from 0 to 17 in increments of 2 on the x-axis and 'growth in inches' from 0 to 12 in increments of 1 on the y-axis has points at (8, 10), (9, 9), (10, 7), (11, 6), (12, 5), (13, 3), (14, 3), (15, 2) and (16, 1). (OR) The scatter plot graph titled 'Hours of Sunlight and plant growth' is shown with 9 data points showing a negative relationship. The x-values of the data points extend from 8 to 16, and the y-values of the data points extend from 10 to 1. - - no response given
ill give you 100 points
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Answers

The correct choice is:

What is the correct answer?

The graph titled 'Hours of Sunlight and plant growth' showing 'hours of sunlight' from 0 to 17 in increments of 2 on the x-axis and 'growth in inches' from 0 to 12 in increments of 1 on the y-axis has points at (8, 1), (9, 2), (10, 3), (11, 3), (12, 5), (13, 6), (14, 7), (15, 9) and (16, 10).

(OR)

The scatter plot graph titled 'Hours of Sunlight and plant growth' is shown with 9 data points showing a positive relationship. The x-values of the data points extend from 8 to 16, and the y-values of the data points extend from 10 to 1.

From the given table, we have the following data points:

(8, 1), (9, 2), (10, 3), (11, 3), (12, 5), (13, 6), (14, 7), (15, 9), and (16, 10)

The correct choice shows that these data points are plotted on a scatter plot with the x-axis ranging from 0 to 17 (in increments of 2) and the y-axis ranging from 0 to 12 (in increments of 1).

The scatter plot shows a positive relationship between the two variables, which means that as the hours of sunlight increase, the growth of the plant also increases

Read more about graphs here:

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Phil spent $13 of his $94 pocket money on eating out for one meal. What percent of Phil's pocket money did he spend on eating out for one meal? Round your answer to the nearest hundredth.

Answers

Answer:

13.83 %

Step-by-step explanation:

13/94 = 13.829...

13.829 rounded to nearest hundredth = 13.83

The answer is 13.83%

Do you agree with Noah and Tyler? HELP WILL GIVE BRAINLIEST

1
Agree/Disagree
14/15/16/17
6/9/12
24/36/72/121/60/144
Less than/greater than/equal to

2
Agree/Disagree
14/15/16/17
14/15/16/17
14/15/16/17
Less than/greater than/equal to

Answers

Answer: THAT'S THE ANSWER I THINK

Step-by-step explanation:

i need help please help

Answers

Answer: it's a trapezoid

It will be a trapezoid and the picture is the points connected.
Hope this helps!!!

PLEASE HELP ASAP!!! 100 POINTS AND BRAINLY!!!

Answers

I belive it’s 5 pound since 8x5=40

If p is the pounds bought we want...

8p ≥ 40

p ≥ 5

A hollow ball is made of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters.

What is the approximate volume of rubber used to make the ball?

Use 3.14 for pi.

Responses

33.5 cm³
33.5 cm³

267.9 cm³
267.9 cm³

636.4 cm³
636.4 cm³

904.3 cm³

Answers

Answer:

636.4 cm³

Step-by-step explanation:

636.4 to the third power

Im gonna probably make a lot of posts for helpnsince im doing a couple assignments at a time.... so anyone able to help with this one?

Answers

5 liters

hope dis helped
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