3. The sum of two numbers is 30 and their difference is 12. Find the two numbers.

Answers

Answer 1

Answer:

I don't know is it 12 and 16 I'm not sure

Answer 2

Answer:

The two numbers are 21 and 9

Step-by-step explanation:

Let the two numbers be a and b

The sum of these numbers is 30

a+b=30

The difference between these numbers is 12

a−b=12

                             ―――――――――

I.  You can solve this by logic.

If the two numbers were exactly equal, then they would both be 15.

15+15=30

But the difference would be 0, not 12

So if you lowered b by one point, and added that to a, then the two numbers would be 16 and 14, and the difference would be 2.

So you can see that for every point you subtract from b to add to a, you increase the distance between them by 2

So, by logic, you need to subtract 6 points from b and add them to a to create a difference of 12

(15+6) minus (15−6) gives a difference of 12

.m21.....−mm∩9       =  12

Answer:

The two numbers are 21 and 9

                   ―――――――――

II.  You can solve this by math

These are simultaneous equations, so you can solve them by math.

.a+b=30

.a−b=12

――――――

2a +0=42

.a         =21 ← same answer


Related Questions

find square root of 82369 by division method step by step​

Answers

Answer:

I think this ans may help you

Find angle picture below.

Answers

Answer:

Angle M = 63

Angle N = 96

Step-by-step explanation:

By exterior angle of triangle:

Angle M + Angle N = 159

(4y+3)+(6y+6)=159

y = 15

Angle M = 4y + 3 = 4(15) + 3 = 63

Angle N = 6y + 6 = 6(15) + 6 = 96

The first correct answer gets brainliest

Answers

Answer:

1.2 Cm.

Step-by-step explanation:

If you multiply these three fractions you get 1.2 Cm. Or in fraction from 6/5

Hope this helped. Please correct me if I am wrong

Each day after school, Chelsey runs 2.8 miles farther than Kyle.


Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.
plzz help

Part B. If Kyle runs 4 miles, how many miles does Chelsey run?

Answers

Answer:

6.8 miles

Step-by-step explanation:

First, create the equation representing Chelsey's miles compared to Kyle's:

c = k + 2.8

Next, find how many miles Chelsey runs if Kyle runs 4 miles.

Plug in 4 as k into the equation:

c = k + 2.8

c = 4 + 2.8

c = 6.8

So, Chelsey runs 6.8 miles

Answer:

Question :-

Each day after school, Chelsey runs 2.8 miles farther than Kyle.

Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.

plzz help

Part B. If Kyle runs 4 miles, how many miles does Chelsey run?

Solution :-

Let the miles walk by Chelesy be x

Now,

x = 4 + 2.8

x = 6.8 miles

Therefore,

x = Kyle's mile walked + 2.86.8 miles

[tex] \\ [/tex]

ILL GIVE 50 POINTS AND BRAINLIEST!!!

A business assistant must leave more than $50 in the supply account. There is $175 in the account. The assistant needs to order x boxes of pens that cost $6.50 each.

What is the maximum number of boxes of pens the business assistant can buy? Please show your math work and justify your answer.

Answers

The maximum number of boxes is 19
Justification: 175-50=125
Now that we have $125 dollars
We can divide it by $6.50
It can only go in 19 times 6.50x19=123.5
So the answer is 19
Hope this helps :)

Can someone help me with this? I literally cant think today. ;-; Thanks if you answer it correctly. ಥ‿ಥ

Answers

Answer:

The slope is 300

Step-by-step explanation:

Rise over run we see two points how many times do we rise and run to get there?

(Slope= rise/run)

So you rise 300 times (Since half of 600 is 300) then you run 1 time which is 300/1 which is 300

Helpppppp Asapppp guys

Answers

Answer:

[tex]-20\frac{3}{4}[/tex] < [tex]-15\frac{1}{2}[/tex] < [tex]-14\frac{3}{4}[/tex] < [tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

Just so you know, the larger a negative number is, the smaller the number's value is.

A d b then c

I think

Aramaic sequence how do you find the term

Answers

n
a

= the term that you want to find


a
1

= first term in the sequence

n = the term position (ex: for 5th term, n = 5 )


d = common difference of any pair of consecutive or adjacent numbers

The ordered pairs show amounts y​ (in inches) of rainfall equivalent to x​ inches of snow.(16, 1.5), (12, 1.3), (18, 1.8), (15, 1.5), (20, 2.1),(23, 2.4)​ About how many inches of rainfall are equivalent to 6 inches of snow? Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

0.57 inches of rainfall is equivalent to 6 inches of snow

Step-by-step explanation:

The given data are presented here as follows;

[tex]\begin{array}{cc}x&y\\16&1.5\\12&1.3\\18&1.8\\15&1.5\\20&2.1\\23&2.4\\\end{array}[/tex]

The data points are approximately linear

From the the trend line of the plotted points of the graph, created with Microsoft Excel, with Forecasting, when there is 6 inches of snow the rainfall is 0.575 inches

By linear regression, we have;

Y = a + b·X

Where;

[tex]b = \dfrac{n \cdot \sum XY - \left (\sum X \right ) \cdot \left (\sum Y \right )}{n \cdot \sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]a = \dfrac{\sum Y - b \cdot \sum X}{n}[/tex]

∑x = 104

∑y = 10.6

∑(x·y) = 191.7

(∑x)·(∑y) = 1102.4

(∑x)² = 10816

n = 6

SigX^2 = 1878

Plugging in the values, gives;

[tex]b = \dfrac{6 \times191.7 - 1102.4}{6 \times 1878 - 10816} \approx 0.10575[/tex]

[tex]a = \dfrac{10.6 - 0.10575 \times 104}{6} \approx -0.06637[/tex]

Therefore;

Y = 0.10575·x - 0.06637

When x = 6 inches, we have;

Y = 0.10575 × 6 - 0.06637 = 0.56813

Y = 0.56813 inches ≈ 0.57 inches of rainfall

Therefore;

0.57 inches of rainfall is equivalent to 6 inches of snow

What is 74x56
Help fast I need it
Me will give brainliest
Thx in advance

Answers

Answer:

4144

Step-by-step explanation:

hope this helps

Answer:

the answer is 4,144

Step-by-step explanation:

What Is The Estimated Weight Of Three Containers Weighing 1.656 kg each? (Math 5 Quarter 2, Week 5) I Need A Nice And Clear Answer

Answers

Answer:

[tex]Estimate = 5.0kg[/tex]

Step-by-step explanation:

Given

[tex]Weight = 1.656kg[/tex]

Required

Determine the estimated for 3 containers

Since the weight of all containers are the same, we simply multiply the given weight by the number of containers.

i.e.

[tex]Estimate = Number\ of\ containers * Weight\ of\ each[/tex]

[tex]Estimate = 3 * 1.656kg[/tex]

[tex]Estimate = 4.968kg[/tex]

[tex]Estimate = 5.0kg[/tex] --- approximated

So, the estimated weight is 5.0kg

Question 4
There are 15 members in a bicycle club this fall. By next summer, Ming hopes the number of members will be 140% of this number. What is
Ming's goal for the number of members next summer?

Answers

Ming's goal for the projected number of members next summer is the product of percentage increase and the current number of members, which is 21

Given the Parameters :

Present number of members in club = 15

Expected percentage rise = 140%

The projected number of members next summer can be calculated thus :

Current number × Expected percentage rise

15 × 140%

15 × 1.4 = 21

Therefore, Ming expects to see the number of members rise to 21 next summer.

Learn more :https://brainly.com/question/18796573

Answer:

It's 36 :)

Step-by-step explanation:

Decrease 1428g by 38.5%​

Answers

Answer:

1428 (1-0.385) = 878.22

Step-by-step explanation:

Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the sampling distribution of the time spent studying has approximate distribution

Answers

Answer:

The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Each student:

Mean of 2.2 hours, standard deviation of 2 hours.

Sampling distribution of the time spent studying has approximate distribution

Sample of 200.

By the Central Limit Theorem,

Approximately normal

Mean 2.2

Standard deviation [tex]s = \frac{2}{\sqrt{200}} = 0.1414[/tex]

The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.

25/35 and 10/14 simplified

Answers

Answer:

(25/5)/(35/5)

=> 5/7

(10/2)/(14/2)

=> 5/7

Hence both of the numbers simplify to 5/7

Hope it helps

A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 75,342 households in the city that the median family income is $65,000, with an average of 2.9 persons-per-household, and 88% live in a single household unit. Previously, the planner had surveyed a group of 400 randomly selected households in the city. The surveyed households had a median family income of $52,000, an average of 3.2 persons per household, and 80% lived in a single household unit. 2
(a) For city planner's survey, identify the population and the sample,
Population: (Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey,
Number Parameter Statistic
The 80% of the group of randomly selected households that live in a single household unit
The average of 2.9 personer household of all the households in the city The $65,000 median family income of all the households in the city At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 600 TV's assembled in March.

Answers

Answer:

Population = 75,342 households

Sample = 400 randomly selected households

The percentage who live in a single household unit = Parameter

The average of 2.9 person per household of all households in the city = parameter

The $65,000 median family income of all the households in the city = Parameter

Step-by-step explanation:

The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.

The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.

Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.

In this exercise we have to use the knowledge of probability to calculate the chances of choosing a TV approved by the quality control, so:

400  randomly selected households

So, based on the information given in the statement, we have:

Population = 75,342 householdsSample = 400 randomly selected households

Some parameters for this equation are:

The percentage who live in a single household unit The average of 2.9 person per household of all households in the cityThe $65,000 median family income of all the households in the city

The inhabitants of a place refers to all the complete essential feature, attention or subject that fits into the study. In the sequence of events above, the complete household fashionable the city of study. That is, the 75,342 households.

The sample exist the subset of the inhabitants of a place that exist a tinier set of comment on something scrutinized intend expected representative of the best inhabitants of a place. The sample in this place happen the 400 carelessly picked households.

See more about statistics at brainly.com/question/10951564

Cindy has a 4-shelf bookcase in which she wants to place baskets. Each basket takes up 1/4 of the shelf. How many baskets can Cindy place on the 4 shelves?

Answers

I believe it would be 16. If each basket takes up 1/4 of 1 shelf then 4 baskets would fit per shelf. 4 x 4 = 16

Answer:

16

Step-by-step explanation:

One basket takes (1/4)th of the shelf.

So, in one shell, Cindy can place 4 baskets

Total number of baskets = 4 *4 = 16

You are charged $9.2 in total for a meal. Assuming that the local sales tax is 7.7%, what was the menu price of this item?

Answers

Answer:

9.91

Step-by-step explanation:

can I have the answer and a quick explanation plz?​

Answers

Given:

A figure of a right triangle.

To find:

The value of x.

Solution:

According to the geometric mean attitude theorem, if an altitude is drawn from the right angle vertex to the hypotenuse, then the altitude is the geometric mean of segments of hypotenuse.

Using geometric mean attitude theorem, we get

[tex]\dfrac{3}{x}=\dfrac{x}{5}[/tex]

[tex]3\times 5=x\times x[/tex]

[tex]15=x^2[/tex]

[tex]\pm \sqrt{15}=x[/tex]

But side cannot be negative. So,

[tex]\sqrt{15}=x[/tex]

Therefore, the value of x is [tex]\sqrt{15}[/tex].

what is the LCM of 3and 6​

Answers

Answer:

L.c.m of 3 and 6 is 6

Answer:

Lcm of 3&6 is:

3*2 & 6*1 (DONE LIKE THIS BECAUSE THAT LCM OF 3 & 6 IS FOUND TO BE 6 AS BOTH 3 & 6 HAS THE SMALLEST COMMON MULTIPLE AS 6)

6  & 6

There fore LCM is 6

Can help find the answer , what the increasing interval and decreasing interval. In interval notations?

Answers

Answer:

increasing on intervals

Step-by-step explanation:

cause the intervals come from a negative 2 aNd are going upwards in which the become positive

hope I helped

4(x + 3) + 2x = 6(x + 2)

Answers

Answer:

answer is 0

Step-by-step explanation:

Find the area of a triangle where the base is 3 3/4 in and the height is 4 inches.

Answers

A=30
Multiply base times height and then divide by 1/2
(3 3/4)(4)=15
15/(1/2) = 30

prove that:
[tex] |x \: y \: z \\ {x \: {y \\ {z \\ yz \: zx \: xy = (y - z) \: (z - x) \: (x - y) \: (xy + yz + zx)}^{2} }^{2} }^{2} | [/tex]

Answers

Answer:

???

Step-by-step explanation:

moris code?

Answer:

c, none of the above

Step-by-step explanation:

khan

In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?

Answers

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.

Now,

We know that , In Scalene triangle -

All sides are different.

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Smallest angle: ∠P

Opposite shortest side.

Middle angle: ∠O

Opposite middle side.

Largest angle: ∠Q

Opposite longest side.

Therefore:

m∠P<m∠O<m∠Q

Less than symbol goes from smallest to largest

Here's a better Explanation!!!!!!

g The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people. Assume that this trend is linear and the population has been growing like this since 2000. a. Write a function for the population, P, in terms of the number of years since 2000, ????. (6 points) b. What is the slope of the function and what does it represent in the context of the problem. Include units. (5 points) c. What is the vertical intercept of the function and what does it represent? Include units (5 points) d. What do you believe the population was in 2015?

Answers

Answer:

a) [tex]P(t) = 11500 + 425t[/tex]

b) The slope is of 425 people, which is by how much the population increases each year.

c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d) 17,875 people.

Step-by-step explanation:

A linear function that measures population after t years has the following format:

[tex]P(t) = P(0) + at[/tex]

In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.

a. Write a function for the population, P, in terms of the number of years since 2000.

The first step is finding the slope.

Finding the slope:

The slope is the change in the output divided by the change in the input, during a period of time.

The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.

This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.

So the slope is

[tex]a = \frac{1700}{4} = 425[/tex]

So

[tex]P(t) = P(0) + 425t[/tex]

Finding the initial population:

We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So

[tex]P(t) = P(0) + 425t[/tex]

[tex]13625 = P(0) + 425*5[/tex]

[tex]P(0) = 13625 - 425*5[/tex]

[tex]P(0) = 11500[/tex]

So

[tex]P(t) = 11500 + 425t[/tex]

b. What is the slope of the function and what does it represent in the context of the problem. Include units.

The slope is of 425 people, which is by how much the population increases each year.

c. What is the vertical intercept of the function and what does it represent? Include units

The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d. What do you believe the population was in 2015?

2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).

[tex]P(15) = 11500 + 425*15 = 17875[/tex]

17,875 people.

Find the slope between the two ordered
pairs: (3,-4) and (6,-5)

Answers

Answer:

-1/3

Step-by-step explanation:

-4 - -5 = 1

3 - 6 = -3

1/-3 = -1/3

Answer: -1/3

Step-by-step explanation: slope is the difference in the y values over the difference of the x values

Can anyone help with 11-15?

Answers

11. 1/3

12. 2/6

13. 1/4

14. 1/5

15. 1/3

Answer:

11. 1/3

12. 2/5

13. 1/4

14. 1/5

15. 1/3

Step-by-step explanation:

Divide by GCF

Use least common multiple or greatest common divisor to solve the problem.
Three clocks chime every 15 minutes, 39 minutes, and 65 minutes,
respectively. If the three clocks chime together, how much time must pass
before they will chime together again?

Answers

Answer:

Step-by-step explanation:

3) 15,39,65

_________

5 )5,13,65

--------------

13  )1,13,13

----------------

   |  1,1,1

L.C.M.=3×5×13=195

They will chime together after 195 minutes.

Changed 19/4 into a mixed number (fraction).

Answers

Answer:

Step-by-step explanation:

Did you mean: Change 19/4 into a mixed number (fraction).

How do you turn 19/4 into a mixed number?

As an improper fraction. (numerator larger than denominator): 19/4 = 19/4

As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 19/4 = 4 3/4

As a decimal number: 19/4 = 4.75.

As a percentage: 19/4 = 475%

4 and 3/4

16/4 equals 4; then 19/4-16/4 = 3/4, so that's left over.

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