Two numbers are such that if 11 is added to the first number, a number twice
the second number is obtained. If 20 is added to the second number, the number
obtained is twice the first number. Find the two numbers.



Please do full working and explain if possible (if you explain it would help me understand more but if you don’t it’s alright)

Answers

Answer 1

Answer:

The 2 numbers are 14 and 17.

Step-by-step explanation:

Let the 2 numbers be x and y.

x + 11 = 2y

x - 2y = -11...............A

y +20 = 2x

2x - y = 20 ...............B

Multiply equation A by -2:

-2x + 4y = 22............C

Adding B and C :-

3y = 42

y = 14.

Substitute y = 14 in equation A:

x - 2(14) = -11

x = -11 + 28

x = 17.


Related Questions

The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?

Part A: Draw the pond and label what you know from the problem above.

Part B: What is the diameter of the pond?

Part C: How many seconds does it take the boat to get to the other side of the pond?

Answers

Step-by-step explanation:

See the photo let me know if you have a question

A survey of students in a large introductory statistics
class asked about their birth order (1 oldest or only
child) and which college of the university they were
enrolled in to the right is a table showing the results.
Suppose a student is selected at random from this
class. Complete parts a through d below:

Answers

Answer:

You have to show the table, not enough information is given here

Step-by-step explanation:

Which inequality is graphed on the number line?

Answers

The answer is C
First you add 11 on both sides
So your left with
3a<= 18
Then divide by 3 on both sides to get
a<=6 which is plotted on the graph

An old coin is sold for $2 and its value increases by 8% each year after it is sold. What is the value of the coin, in dollars, in 10 years

Answers

Principal=P=$2Rate of interest=8%=RTime=T=10years

Interest be I

[tex]\\ \sf\Rrightarrow I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\Rrightarrow I=\dfrac{2(8)(10)}{100}[/tex]

[tex]\\ \sf\Rrightarrow I=\dfrac{280}{100}[/tex]

[tex]\\ \sf\Rrightarrow I=2.8\$[/tex]

Now

Value of coin after 10years =2+2.8=4.8$

Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities.
48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.

Give the five-number summary and the interquartile range for the data set.

Answers

The five-number summary of the data set given is:

Minimum = 48First Quartile (Q1) = 54Median = 69Third Quartile (Q3) = 76Maximum = 80What is the five-number summary?

The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.

The five-number summary include the following:

Minimum, which is the lowest data value.First Quartile (Q1), which is the middle data value of the first half of the data set.Median, which is the middle data value of the data set.Third Quartile (Q3), which is the middle data value of the second half of the data set.Maximum, which is the lowest data value.

What is the Interquartile range?

The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1

Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:

Minimum = 48

First Quartile (Q1) = (54 + 54)/2 = 54

Median = (68 + 70)/2 = 69

Third Quartile (Q3) = (75 + 77)/2 = 76

Maximum = 80

Learn more about the five-number summary on:

https://brainly.com/question/24809873

Solve for x in the equation x2 + 4x-4=8.
O x = -6 or x = 2
X=-2+2/2
O x = -2 or x = 6
O x=2+2V5

Answers

[tex] {x}^{2} + 4x - 4 = 8 \\ = > {x}^{2} + 4x - 4 - 8 = 0 \\ = > {x}^{2} + 4x - 12 = 0 \\ = > {x}^{2} + 6x - 2x - 12 = 0 \\ = > x(x + 6) - 2(x + 6) = 0 \\ = > (x - 2)(x + 6) = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 6 [/tex]

Answer:

x = -6 or x = 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

30 POINTS
A fabric paint manufacturing company fills the paint in containers using a machine. The amount of paint in a container follows a normal distribution with a mean of 99 ml and a standard deviation of 5 ml. What is the probability that the quantity of paint filled is less than 100 ml? A) 0.28 B) 0.42 C) 0.58 D) 0.92

Answers

Answer:

The correct answer is C) 0.58

Step-by-step explanation:

All this is from USATESTPREP:

The function normCdf(x0, x1, , ) gives the probability that a value drawn from a normal distribution with mean and standard deviation lies in the interval [x0, x1].As the normal distribution is symmetric, the probability that a value is less than the mean is exactly 0.5P(x ≤ 100) = P(x < 99) + P(99 ≤ x ≤ 100)= 0.5 + normCdf(99,100,99,5) = 0.5793Rounded to the nearest hundredth, the probability that a container is filed with less than 100 ml is 0.58.


PLEASE HELP
Solve for x

Answers

Answer:

you get 32

Step-by-step explanation:

Erin made cookies in the shape of animals. Out of the 40 cookies she made, 16 of them were shaped like a giraffe. What percent of the cookies were shaped like giraffes?

Answers

Answer:

40

Step-by-step explanation:

16/40×100

= 1600/40

= 160/40

= 40

Starting at 1:00 P.M., the temperature changed -4 degrees per hour. How long will it take to reach -1?

Answers

Answer:

i may need more info on the temperature or do you have to find out

Step-by-step explanation:

Prove the triangles are similar.

Answers

Answer:

SAS similarity

Step-by-step explanation:

The two triangles MON and MQP are such that

Angle M = Angle M

MO/MQ = MN/MP

Therefore, Triangle MON ~ Triangle MQP (SAS similarity)

After looking through different hotel options, Gabriela and Luis decided to estimate a budget of $1,200

$

1,200

for hotel costs. They want to stay 6

6

nights at a hotel. In addition, they know they should plan to pay $240

$

240

in taxes and tips. Let c

c

represent the total cost per night they should plan for the hotel.


What is the solution to the equation that represents this situation?

Answers

Answer:

The equation will be. c= 1200 / 240 + 6 = 440. C=440 (I don't know if this is correct)

From his house, Tom rides his bike 5 kilometers east to the store. He then rides his bike 2 kilometers west to his friends house. What Tom's displacement from his house

Answers

Answer:

3 km

Step-by-step explanation:

He starts by going 5 km east, then he turns around and goes 2 km west. So he is now 3 km from his house.

Math is multi-cultural, analytical, timeless and hands-on. Provide a piece of mathematical concept, hypothesis, law, paradox, rule or theorem to prove this statement.

Answers

It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.

Mathematics is multicultural and it's neutral from the issues of races, gender, class, etc. Also, it should be noted that mathematics is analytical.

Furthermore, mathematics is timeless and hands-on. This implies that students need to touch and feel what they're learning through a concrete experience.

Learn more about mathematics on:

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PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM ​

Answers

Answer:

3/5y

Step-by-step explanation:

6y/35 ÷10y^2/7

to solve this you do reciprocal of 10y^2/7

then;

6y/35 x 7/10y^2

solving this

3/5y

This is the right answer step by step…if you are good at maths y’ll understand it

Q4
An ice cube measures 2 cm by 2 cm by 2 cm.
A)What is its volume?
B) Is there enough room in a container measuring
8 cm by 12 cm by 10 cm for 100 ice cubes?

Answers

Answer:

A. [tex]8cm^{3}[/tex] B. Yes

Step-by-step explanation:

2*2*2=8cm cubed

8*12*10=960 which is greater than 800

Answer:

Step-by-step explanation:

2 x 2 x 2 = 8

the volume is 8 cm^3

8 x 12 x 10 = 960 cm^3

8 / 2 = 4

12 / 2 = 6

10 / 2 = 5

4 x 6 x 5 = 120

you can fit up to 120 cubes into the container

Maya is using shapes to create a repeating pattern. Which rule will give Maya a repeating pattern that has a triangle as the 20th shape?

A.
triangle, square, circle, circle

B.
square, triangle, circle, circle

C.
square, circle, circle, triangle

D.
circle, circle, triangle, square

Answers

Answer:

B.

square, triangle, circle, circle

Step-by-step explanation:

Answer:

  C.  square, circle, circle, triangle

Step-by-step explanation:

The repeating patterns are 4 elements long. Element 20 will be the last element in the 5th repeat of the pattern. That is, the triangle must be the last element of the pattern.

The rule in choice C has the triangle last.

someone can help me with this

Answers

Answer:

x < -7/3

x [tex]\geq[/tex] 5

Step-by-step explanation:

For the first part:

3x + 10 < 3 subtract 10 from the both sides of the inequation

3x < -7 divide both sides by 3

x < -7/3

For the second part:

2x - 5 [tex]\geq[/tex] 5 add 5 to both sides of inequation

2x [tex]\geq[/tex] 10 divide both sides by 2

x [tex]\geq[/tex] 5

In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False

Answers

Answer:

True because you need to divide by -4 at one stage. Dividing by  a negative number will reverse the inequality.

Step-by-step explanation:

[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]

which system of equations cannot be readily solved by the substitution method 6x+12y=11

Answers

Answer:

Step-by-step explanation:

well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.

Which line plot (s) represents 2/4?

Answers

Answer:

Number 1= 5th vertical line

number 2= 2nd vertical line

number 3= halfway between 2nd and 3rd vertical line

Step-by-step explanation:

Which compound inequality is represented by the graph?

Answers

Answer:

A

Step-by-step explanation:

Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).

what is the value of the expression 5 + 6 x (5 - 2) + 9

Answers

i believe its 18x + 14

Camden and his children went into a restaurant where they sell hotdogs for $4.50 each and drinks for $1.50 each. Camden has $30 to spend and must buy no less than 8 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and y represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
-
please help!!!! include all steps please

Answers

Answer:

5

Step-by-step explanation:

4.50 + 1.50 = 6

30 / 6 = 5

answer = 5

Find the slope of the line segment shown.
A) -1/2

B -1

C 1/3

D 1

Answers

the slope is 1 :) because it’s moving 1 square up and over (rise over run)

Answer:

D)

Step-by-step explanation:

The answer would be D. The slope of a line is how fast it climbs. Height divided by base. Up divided by over. Thus, if it goes across 3 and up 1, its slope would be 1/3. If it goes across 1 and up 2, the slope is 2. If it goes across 1 and up -1, the slope is -1.

HOPE THAT HELP YOU MARK ME BRINILYLIST

: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea.

Answers

For every 5 minutes of jogging, I ran 500 yards

To Find : Use ratio language to describe the relationship of any two things

Determine the unit rate

Solution:

every 5 minutes of jogging, I ran 500 yards

=> 500/5 = 100 yards/ minute

For every 20 minutes ,  I can type 1000 words in

unit rate = 1000/20  = 50 words per minute

For every 1 hr (60 minutes)  I can solve 10 Questions

unit rate = 10/60     = 1/6 Question per minute  

For every 10 minutes , i can read 5 pages

unit rate = 5/10   = 1/2 pages per minute

Learn More:

Selma uses a jogging trail that runs through a park near her home ...

brainly.in/question/21297587

Keith is saving money for a car. He has saved the same amount ...

brainly.in/question/14056417

i just want to know how did you get that number

Answers

Answer:

what number?

Step-by-step explanation:

Question 3 of 5
764 =
O A. 16
OB. 4
O c. 2
O D. 8

Answers

Answer:

b. 4

Step-by-step explanation:

I hope this helps!!

The answer is B equal to four

Answer two questions
25 points

Answers

Answer:

1) -2x - 3

2) -2a - 2

Step-by-step explanation:

Problem 1

To solve this problem, we only have to combine like terms. What are the like terms in this problem? Well, we have two x-terms (-10x and 8x) and two integers, or constants (1 and -4). So, let's rearrange the expression and then combine those terms.

-10x + 8x + 1 - 4

-2x - 3

Problem 2

This expression is a little more complicated since we have to distribute a 2 onto the two terms in the parentheses.

2(1 - a) - 4

2(1) - 2(a) - 4

2 - 2a - 4

Next, we can combine like terms.

-2a + 2 - 4

-2a - 2

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\text{Number 1}[/tex]

[tex]\large\textsf{-10x + 1 + 8x - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-10x + 8x) + (1 - 4)}\\\large\textsf{= -2x - 3}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2x - 3}}}\huge\checkmark[/tex]

[tex]\huge\text{Number 2}[/tex]

[tex]\large\textsf{2(1 - a) - 4}\\\large\text{DISTRIBUTE 2 WITHIN the PARENTHESES}\\\large\textsf{= 2(1) + 2(-a) - 4}\\\large\textsf{= 2 - 2a - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-2a) + (2 - 4)}\\\large\textsf{= -2a - 2}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2a - 2}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

x = 16 - 4y
3x + 4y =8
substitution method

Answers

Answer:

i think x = -4, y = 5

Step-by-step explanation:

x = 16 - 4y

3x + 4y = 8

3(16 - 4y)+4y = 8

48-12y+4y = 8

48-8y = 8

48-8 = 8y

40 = 8y

5 = y

so

x = 16 - 4y

x = 16 - 4(5)

x = 16 - 20

x = -4

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