how can you use mental math to determine if a ratio is simplified

Answers

Answer 1

You can see if it is simplified by checking if the numbers can be divided with the same number. Typically, this is done mentally.
Ex: You can mentally determine that 10:4 is not simplified, because both can be divided by 2.
You can then determine that 5:2 is simplified.

Related Questions

The second of two numbers is 5 more than twice the first. Their sum is 80. Find the numbers.....Thanms

Answers

This is a simple equation; "x" is the first number and (5+2x) is the second number because it is "5 more than twice the first" and the sum = 80. So... x + (5+2x) = 80 You start by subtracting "x" and moving it to the other side...5 + 2x = 80 - x Then you add the "x" to the other side...5 + 3x = 80 Next, subtract 5 to the other side...3x = 75 Finally, divide the 3 to the other side...x = 75/3...x = 25 25 is the first number so you then multiply it by 2 and add five to get the final answer. 25 + 55 = 80

whats the answer to z−4/9−1/3=5/9

Answers

z-4/9 -1/3 = 5/9
z- 7/9 = 5/9
z= 5/9 + 7/9
z= 4/3
simplified 1 1/3

The school’s guidance department compares the grade-point averages and standardized state test scores for 10 students in each grade. The table below shows the correlation coefficient for each data set.

Answers

Ok, so to see which data sets is reasonable for a linear regression model square each set and if it is close to one it will be reasonable.

[tex]r^{2}[/tex]
9th grade 0.3 = [tex]0.3^{2}[/tex] = 0.09
10th grade –0.1 = [tex]-0.1^{2}[/tex] = 0.01
11th grade 0.2 = [tex]0.2^{2}[/tex] = 0.04
12th grade –0.8 = [tex]-0.8^{2}[/tex] = 0.64

So 12th grade data set is reasonable but the others are not because they are not remotely close to 1.

The 12th-grade data set represents the linear regression because the value of the correlation coefficient for the 12th-grade students is near the -1 which shows a perfect negative linear regression

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

The correlaton coeffiecient is given as below:

For 9th grade = 0.3

For 10th grade = -0.1

For 11th grade = 0.2

For 12th grade = -0.8

We know that for perfect linear regression the value of the correlation coefficient is 1 or -1

As we can see from the data given the nearest value of the correlation coefficient is -0.8 which is the correlation coefficient for the 12th grade.

Thus, the 12th-grade data set represents the linear regression because the value of the correlation coefficient for the 12th-grade students is near the -1 which shows a perfect negative linear regression.

Learn more about the correlation here:

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Would you be more or less likely to take a job in which the type of work is enjoyable to you? Why?

Answers

In my opinion I would be more likely to take the job that i enjoy because first who wants to dread going to work each day? On top off that if you like your job and enjoy doing it each day you would be more passionate about your work.

Answer:

yes if i enjoy the job i would not give it up

Step-by-step explanation:

Prove that the line segment joining the midpoints of the diagonals of the trapezium is parallel to each of the parallel sides and is equal to half of the difference of these sides.

Answers

the answer is given above

Dawn raises money for her school in a jog-a-thon. She will get three dollars for every lap she completes. If it takes 4 laps to jog 1 mile, and Dawn jogs a total of 11 miles, how much money will Dawn raise for her school?

Answers

If Dawn gets 3$ for every lap she completes and 1 mile is 4 laps, and it says she runs 11 miles you would do 4 multiplied by 3, which is 12, once you get that answer you would multiply 12 by 11 and your answer would be: 132$
To check your answer you could do 4x11 which is 44 and you could multiply that by 3 which will also get you: 132$

She will raise 132 dollars.

5^2-11 over 6(3). Evaluate the expression. A. 7. B. 2/9. C.-1/63. D. 7/9

Answers

The first thing you do is exponents, so you get (25-11)/6(3). After that simplify the denominator to 18. So, you get (25-11)/18. When you subtract the numerator you get 14/18. This reduces to 7/9.

So the answer is D, 7/9.

Hope this helps!

Factor expression 42x+49

Answers

Final answer:

To factor the expression 42x+49, we find the GCF which is 7, and express the expression as 7(6x + 7).

Explanation:

The question focuses on the task to factor the expression 42x+49. Factoring is a mathematical process in which we express a number or an algebraic expression as the product of its factors, which are usually simpler or more basic expressions.

To factor the given expression, we look for the greatest common factor (GCF) that both terms share. In this case, the GCF of 42x and 49 is 7. We factor the 7 out:

42x + 49 = 7(6x + 7)

The factored form is 7(6x + 7), which is the simplest form of the expression where 7 is a common factor multiplied by the binomial 6x+7.

What percent in change if The price was $160 and now it is $40?

Answers

Hello there!

[tex] \frac{40 - 160}{160} (100) \\ \\ \\ 40 - 160 = -120 \\ \\ 160 = 160 \\ \\ \\ Problem: \frac{-120}{160} (100) \\ \\ \\ \frac{-120}{160} = -0.75 \\ \\ Problem: -0.75(100) = -75[/tex]

Therefore, it [tex]decreased [/tex] by [tex]75[/tex]%

Good luck on your assignment and enjoy your day

~ [tex]MeIsKaitlyn:)[/tex]

what is the next number in this sequence 7,10,16,28,52

Answers

Every time, you add the amount of the previous number added.
So,

7 + 3 = 10
10 + 3(2) = 16
16 + 6(2) = 28
28 + 12(2) = 52
52 + 24(2) = 100

So the next number in the sequence is 100.
Hope I helped!!

The next term is the given sequence is 100.

The given number sequence is 7, 10, 16, 28, 52,......

In the given sequence, pattern is as follows

7 + 3(1) = 10

10 + 3(2) = 16

16 + 6(2) = 28

28 + 12(2) = 52

52 + 24(2) = 100

Therefore, the next term is the given sequence is 100.

To learn more about the sequence visit:

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Each day, Jake donates money to the global hunger initiative according to how many lunch specials he sells. What is the constant of proportionality in money per lunch special?

Answers

Since it's y/x, and x is what you input into the function (and y is what you get out), we get that the amount donated is based off of the lunch specials, so we get y(12)/x(60)=12/60=1/5

Answer: 1/5

Explanation: Since, according to the given figure,

Jake spends money for 60 lunch special= 12 unit

Therefore, In this case, money per lunch= 12/60=1/5

Jake spends money for 45 lunch special=9 unit

Therefore, In this case, money per lunch= 9/45=1/5

Jake spends money for 30 lunch special=6 unit

Therefore, In this case, money per lunch= 9/45=1/5

Again, Jake spends money for 15 lunch special=3 unit

Therefore, In this case, money per lunch= 3/15=1/5

Thus, from the above explanation it is clear that the money per lunch is same for every condition and is equal to 1/5.

52 thousandths in scientific notation

Answers

Answer
5.2×〖10〗^(-2)

Explanation
A number is said to written in scientific notation when it is in the form A×〖10〗^n, where 1≤A<10 and n is an integer.
In this case,
52 thousanths = 0.052
0.052=5.2×〖10〗^(-2)
52 thousandths to scientific notation = 5.2×〖10〗^(-2)

plz help. will give double points, comment, like brainliest. plz

L1 and L2 are parallel lines
the equation of L1 is y= 3x + 2
L2 passes through the point (3,4)
find an equation for L2

Answers

y = 3x + 2. The slope here is 3. A parallel line will have the same slope.

y = mx + b
slope(m) = 3
(3,4)...x = 3 and y = 4
now we sub and find b, the y int
4 = 3(3) + b
4 = 9 + b
4 - 9 = b
-5 = b

so ur other line, L2 is : y = 3x - 5 <==

The slope for 2 parallel lines is always the same so the slope will remain 3.(m=3)
To find the y intercept you have to replace the y and x with the 2 points given and the m with the slope and simplify.
so, y=mx+b
(4)=(3)(4)+b
4=12 +b
8=b
then plug in the intercept and the slope into the slope intercept equation and there is your answer.
y=3x+8

Your cell phone plan gives you 500 minutes monthly. If you have used 310 minutes already and there is a week left in this month, how should you use your minutes this last week? How many minutes could you use each day if you split the remaining minutes evenly amongst the days?

Answers

the minutes remaining till the end of the month = 500 - 310 = 190 minutes
now to split these minutes equally, we will divide them by 7 days of week
daily usage = 190/7 = 27.14 minutes
since we can not talk for 0.14 minutes, therefore,to equally split the remaining minutes, you should speak 27 minutes per day with one extra minutes remaining to be used on the day you choose

The answer is D -230 + m ≤ 500.

Hope I helped! Have a great day! Please rate, thank, and be so kind enough to award brainliest.

I hope too see you soon!

Yours,

Soon to be brainiac :3

verbal expression for 4(n + 6) ? PLEASE HELP ME ASAP

Answers

four times the sum of a number and 6.

work:

the 4 is multiplying the expression in parenthesis, so we can start with

4 times.

in the parenthesis, a number n is being added to 6.

we are multiplying this by 4, so it's 4 times the sum of a number plus six. hope this helps! :D

The sum of 4 times a number and six

-2/3×1/2×-6/7=
please help

Answers

12/42 is the answer.

Describe some data that when graphed would represent a proportional relationship. Explain your reasoning

Answers

The lines would go up and over at the same rate. They would have the same slope, like parallel lines.

Hope this helps!! :)

Answer:

A proportional relationship is "two quantities vary directly with each other."

Example:

The amount of gasoline you fill in your car and the amount you pay is a proportional relationship.

If 1 gallon of gasoline is $3, then the cost of 3 gallons of gasoline is $9.

Step-by-step explanation:

A relationship is between two quantities.

A proportional relationship is "two quantities vary directly with each other."

Say, if the quantity "x" increases, then the associated quantity "y" also increases.

For example,

y = 2x

Let's find the data.

x y

0 0

1 2

2 4

3 6

As you can see when the value of "x" increases, the value of "y" also increases.

This is called proportional relationship.

Example:

The amount of gasoline you fill in your car and the amount you pay is a proportional relationship.

If 1 gallon of gasoline is $3, then the cost of 3 gallons of gasoline is $9.

find the measure of an angle whose supplement measures seventeen times its measure

Answers

supplement angles, sum = 180
lets x = angle
its supplement = 180 - x

x + 17x = 180
18x = 180
x = 10
180 -10 = 170

answer
angle = 10
its supplement = 170

Final answer:

The measure of an angle whose supplement is seventeen times larger than the angle itself is 10 degrees.

Explanation:

We are looking to find the measure of an angle that is said to have its supplement measure seventeen times larger than the angle itself. In terms of mathematical relationships, this means that if we call the angle in question x, then its supplement would be 17x. We know that supplementary angles add up to 180 degrees, hence we can write the equation x + 17x = 180. By solving this equation, we find that 18x = 180, and therefore x = 180÷18 which simplifies to x = 10. So the measure of the angle we are looking for is 10 degrees.

Write 0.12*10-3 as a decimal

Answers

0.12 x 10-3= 0.12 x 7
= 0.84

Hope this helps

1.8 is the answer okkkkkk

Help me plz math (picture)

Answers

For 34, since each diameter is in scientific notation , meaning that we have one number (1-9) followed by a decimal, we simply see which has the smallest power, which is cell C.

For 35, we multiply them out to get 0.83*10^2 (we subtract exponents when dividing). Since scientific notation is one integer from 1-9 followed by a decimal, we move 0.83 one place to the right and therefore remove one power from 10^2, getting 8.3*10

the table shows amounts earned for washing dogs. how much can be earned by washing 8 dogs
dogs,x. dollars,y
1. 18
2. 36
3. 54
4. 72

a.) $144
b.)$324
c.)$64
d.)$126

Answers

The chart is proportional and you ear $18 per dog washed.

18/1=18
26/2=18
54/3=18
72/4=18

Multiply 18*8 to get the amount earned for 8 dogs.

Final answer: $144

what is number 2 need help kinda confused

Answers

Since 60 minutes are in 1 hour, we can do (0.08 km/1 min)*(60min/1 hour) and cross out the minutes, getting (0.08*60 km)/(1 hour)= 4.8km/1 hour. Since 1.61 kilometers are in 1 mile, we can multiply the equation by 1mile/1.61 km (since they are equal) and cross out the km to get 4.8*1.61miles/1 hour= \
7.728mi/1 hour. Since it's closer to 8 than 5, 3, or 2, D is right

16x+9=9y-2x Solve for y

Answers

y=2x+1... I hope this helps love! :)

what is 15%, 0.015, and 1/5 from least to greatest

Answers

0.015, 15%, 1/5

Hope this helps!

1. Put the values into their decimal form

15%= 0.15

0.015=0.015

1/5= 0.2

2. Order them from least to greatest

0.015, 15% , 1/5

Hope this helps!

The following table shows the data collected from a random sample of 100 middle school students on the number of hours they do household chores every week
There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to do household chores for at least two hours every week?
A: 480 B: 960 C: 1,020 D: 1,440

Answers

Your answer is A. 480 I hope this helps yall get a good test grade or what eva yall even doing lol @hehe

There will be 1020 students in the school doing household chores for at least two hours every week.

What is a ratio?

A ratio is a comparison of two attributes of a similar kind.

Based on the random sample, the number of students doing household chores for at least two hours every week =64+3+1 =68

Out of 100, the number of students doing household chores for at least two hours every week = 68

So, out of 1, the number of students doing household chores for at least two hours every week = 68/100

So, out of 1500, the number of students doing household chores for at least two hours every week = (68/100)*1500 =1020

Thus, there will be 1020 students in the school doing household chores for at least two hours every week.

To get more about ratios visit:

https://brainly.com/question/2328454

The number of people waiting in a line to buy tickets x minutes after a ticket booth opened is given by the expression 70−5x .

What does the value 70 represent?

A. the number of minutes it takes to sell all the tickets

B. the total number of tickets available

C. the number of people in the line when the ticket booth opened

D. the number of people who bought tickets every minute

Answers

70 represents the number of is C i think

its would be A hope this helps

Please explain how to do this

Answers

that is how you solve and the answer

The answer would be 8%. To do this, all I did was multiply each percentage by $4.50 to get the sales tax. After the multiplication, you can add your sales tax to $4.50. You can do this on each percentage until you match the final price, $4.86.

Here's my work for 8%:

8% x 4.50
=0.08 x 4.50
=0.36

4.50+0.36=4.86.

I hope this helped you!

Approximate the square root of 18 to the nearest tenth and plot the number on a number line SHOW ALL WORK

Answers

[tex] \sqrt{18} = \sqrt{2*3*3} = 3 \sqrt{2} = 3 * 1.41421356237 [/tex]

= 4.24264068712 ≈ 4.2

You can draw a number line making 5 divisions in between the whole numbers (4 and 5) and hence you can show 4.2

Okay So I just a question that I don't even know what it means, So if someone could help that would be awesome!

Answers

see attached picture for solution:

what is 100 divided by 13 subtract 45 then add 19

Answers

Order of operations rules (PEMDAS) require that the div. be done first:

100

------ = 7.692

Subtracting 45 results in -37.308

Finally, adding 19 produces the final desired answer: -18.308

Answer:

-18.30769230769231

Step-by-step explanation:

calculator

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