The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
Larger number:
Smaller number: ​

Answers

Answer 1

Answer:

Let x be the larger number, and y be the smaller number.  

The sum of two numbers is 27. So the equation would be:

x+y=27

The larger number is 3 more than the smaller number. So:  

larger number = smaller number + 3  

or  

x=y+3

Now, we want to get rid of x and solve for y first. Since x=y+3, we can substitute y+3 for x in the equation x+y=27.  

Therefore:

(y + 3) + y = 27  

Combine like terms:

2y + 3 = 27  

Subtract 3 on both sides:

2y = 24  

Divide both sides by 2:

y = 12  

So the smaller number is 12. The larger number is 3 more than the smaller number, so:  

x = 12 + 3

x = 15  

The 2 numbers are 12 and 15. Check:  

12 + 15 = 27

Answer 2

Answer:

Larger number: 18

Smaller number: ​9

Step-by-step explanation:

a + b = 27

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

a = b × 2

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

a + b = 27

(b × 2) + b = 27

2b + b = 27

3b = 27

3b ÷ 3 = 27 ÷ 3

b = 9

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

a = b × 2

a = (9) × 2

a = 18

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

a + b =27

(18) + (9) = 27

27 = 27


Related Questions

What is 3/4 divided by 1/2

Answers

Answer: Exact Form: 3/2 decimal form: 1.5

Step-by-step explanation:

Find the shaded area. Round your answer to the nearest tenth.

Answers

Answer:

[tex] {22cm}^{2} [/tex]

to the nearest tenth

Step-by-step explanation:

find the area of the semi circle

[tex] \frac{\pi \times 5}{2} = {7.85cm}^{2} [/tex]

find area of the whole shape

[tex]5 \times 6 = {30cm}^{2} [/tex]

then subtract both areas to get shaded area

[tex]30 - 7.85 = 22.15[/tex]

A probability that is computed with the knowledge of additional information is called

Answers

Step-by-step explanation:

according to me it's conditional probability

Answer:

Conditional probability

Step-by-step explanation:

Conditional probability is the probability that is computed with the knowledge of additional information.

2x+3y=5x−y what is the answer?

Answers

x=1.33
i rounded to the nearest hundred, for problems like this you can use photomath

10,000 kilometers =_______miles pls help ill give brainlist!!!!

Answers

Answer:

6213.712 miles

Step-by-step explanation:

............

Answer:

6213.712

Step-by-step explanation:

10,000 kilometers =___6213.712____miles

HOPE IT'S CORRECT :)

10. A diagonal divides a rectangle that is 7 feet wide and 18 feet long into two
identical triangles. What is the area, in square feet, of one of the triangles?

Answers

Answer:

Step-by-step explanation:

The area of a triangle is

A=bh/2 where b is the base and h is the height, in this case

A=7(18)/2

A=63 ft^2

25 POINTS!!!


please answer quickly

Answers

Answer:

1) 6a - 2b

2) 2a + b

3) 2b + a

4) 4b - a

5) 3(a + b)

Step-by-step explanation:

2a + b ==> 2(3) + 5 = 6 + 5 = 11

2b + a ==> 2(5) + 3 = 10 + 3 = 13

3(a + b) ==> 3(3 + 5) = 3(8) = 24

4b - a ==> 4(5) - 3 = 20 - 3 = 17

6a - 2b ==> 6(3) - 2(5) = 18 - 10 = 8

Now order them from least to greatest

6a - 2b ==> 6(3) - 2(5) = 18 - 10 = 8

2a + b ==> 2(3) + 5 = 6 + 5 = 11

2b + a ==> 2(5) + 3 = 10 + 3 = 13

4b - a ==> 4(5) - 3 = 20 - 3 = 17

3(a + b) ==> 3(3 + 5) = 3(8) = 24

HELP PLS LMK IF U CANT READ IT AND I WILL TYPE IT

Answers

Answer:

cant read it type it pls

Step-by-step explanation:

Find the sum of the first six terms of a geometric
progression 2,6, 18...​

Answers

Answer:

2+6+18+54+162+486=728

Step-by-step explanation:

Answer:

here,

first term(a)=2

common ratio(r)=6/2=3

Now,

sum of first six term=a(r^n-1)/r-1

=2(729-1)/3-1

=2×728/2

=728


Write the numeral in the sentence in scientific notation
The distance between two planets is 250,000,000,000 meters.

Answers

Answer:

2.5 x 10^11

Step-by-step explanation:

Answer:

[tex]2.5[/tex] x [tex]10^1^1[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

[tex]2.5[/tex] x [tex]10^1^1[/tex]

Hope this helps.

Someone please help~~~~~~~

Answers

y the ''~~~~~~~~~~~~~~~~''?

I'll take sum help thx :) 100 points ​

Answers

Answer:

[tex] \huge\colorbox{red}{51.5}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:geometryPEMDAStips and formulas:area of triangle:½×bharea of rectangle:l×wlet's solve:

the area of first triangle:

½×3×2½×63

the area of second triangle:

½×3×3½×94.5

the area of the rectangle:

(8+3)×411×444

the area of the full shape:

3+4.5+447.5+4451.5

Answerfffffff[tex]\lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \pi \pi \pi \pi[/tex]

pleessssssssssssssssssss hellpp i will give you brainlist if you get coreted

Answers

Answer and Step-by-step explanation:

We are told that there is 24 cupcakes, which total up to be 36 dollars.

c will represent One cupcake.

We would do 36 divided by 24 to find the cost of One cupcake.

[tex]\frac{36}{24} = \frac{3}{2} = 1.5[/tex]

Each cupcake (c) is equal to $1.5.

Equations that would get us to this would be:

36/24 = c

36 = 24c

#teamtrees #PAW (Plant And Water)

Answer:

=9

Step-by-step explanation:

11919

Is landing on 7 while rolling a 6 sided dice impossible, unlikely,equally likely, likely, or certain?

Answers

Impossible since it’s only one dice with 6 sides so you can’t get 7

An art teacher is buying clay by the pound. The teacher buys pounds of clay for $7.50. How much will pounds of clay cost? A. $8.25 B. $15.75 C. $9.09 D. $9.90

Answers

Answer:

nnnnnnnnnnnn

Step-by-step explanation:

Last year, 12 hydrange bushes had a mean of 14 blooms each, with a standard deviation of 2. The dot plot shows the number of blooms on the same bushes this year after a new plant food is used. What conclusions can you draw about the use of the new plant foor and the number of blooms?​

Answers

Answer: The plant food produces more blooms on average, but the results aren't as consistent as before.

========================================

Explanation:

The dot plot leads to this data set

{8, 12, 12, 17, 17, 18, 18, 18, 19, 19, 20, 23}

Using pencil/paper, or using technology, you should find the following properties of this data set

mean = 16.75sample standard deviation = 4.11

The second value is approximate. Both the mean and standard deviation are larger than their original counterparts (mean = 14 and std dev = 2).

Since the mean is larger, this means the data points have been shifted to the right further. The larger standard deviation tells us that the data is more spread out.

So it appears this new plant food has made the number of blooms increase overall, but it's also made the data more inconsistent. A smaller standard deviation would mean a more narrow set of points and therefore more consistent values (they'd all be clumped around the mean better).

Need help, will give a lot of points to whomever answers quickly!

Answers

Step-by-step explanation:

The first figure triangles are congruent by ASA axiom.

The second figure triangles are congruent by SSS axiom.

The third figure triangles are congruent by ASA axiom.

Hope it will help :)

Step-by-step explanation:

ASA Axiom. SSS Axiom ASA Axiom

I need help with question 5.Please show ur work! Thank you!

Answers

Answer:

1:3

Step-by-step explanation:

you can simplify both factors by 3 so 3:9 will be 1:3

3. Han's calculation of 972 = 9 is shown here.
a. Find 180 - 9.
1 80
9 9 7
- 9
7 2
72

b. Use your calculation of 180 . 9 to explain how you know Han
has made a mistake.
c. Identify and correct Han's mistake.

Answers

Answer:

A- 180 x 9= 1620

B- 180 x 9 = 1,620. if han got the answer correct, by multiplying the answer would have been 972

C- correct answer is 108

Step-by-step explanation:

multiplication is the inverse operation of division. to check if Hans answer is correct you would do 180 x 9 = 1,620. if han got the answer correct, by multiplying the answer would have been 972

Answer:

180x9= 1620

Step-by-step explanation:

7

180    

x    9

1620

The measures of the angle of a triangle are shown on the figure below. Solve for X.

Answers

Internal angles sum: 180(sides-2) = 180

5x = 180 - (48 + 90 + 17)

x = 25/5

x = 5

answer: 5

proof:

(90 + 48) + (5(5)+17) = 180

Answer:

x=5

Step-by-step explanation:

We know that a triangle consists of 180°. So to start, you take the two given angles and add them together. 48+90=138.

Now you subtract the 138 from the total of 180 to get the degrees of the remaining angle. 180-138=42°.

Now set the unknown angle equal to 42. (5x+17) = 42

Subtract 17from both sides to get 5x=25

Divide 5 from both sides to get x=5

2/2 . p;s show explantion / reasoming toooo

Answers

Answer:

24 + 4x = 60

This is because you see the four sections of x, and 24, when added together, totaled to 60.

Hope that helps!

Step-by-step explanation:

Here is a list of questions about the students and teachers at a school. Select the questions that are statistical questions.


1) What is the most popular lunch choice?
2) What school do these students attend?
3) How many math teachers are in the school?
4) What is a common age for teachers at the school?
5) About how many hours of sleep do students generally get on a school night?
6) How do students usually travel from home to school?

Answers

Answer: 1. 2. 4. 5. 6.

Step-by-step explanation:

Im pretty sure these are because you have to collect data.

The distance from Cherotich's home to school is
2km 400m. He goes to school in the morning
and returns in the evening daily. What distance
does he cover from Monday to Friday?

Answers

Answer:

24 kilometers

Step-by-step explanation:

Given

Represent the distance with x

[tex]x = 2km\ 400m[/tex]

Required

The distance covered for 5 days (i.e. Monday to Friday)

First, we calculate the distance covered in a day

He covers the same distance when going to school and when coming back from school.

So, the daily distance is:

[tex]Daily = 2 * x[/tex]

[tex]Daily = 2 * (2km\ 400m)[/tex]

[tex]Daily = 4km\ 800m[/tex]

In 5 days, he covers:

[tex]5\ days = 5 * Daily[/tex]

[tex]5\ days = 5 * (4km\ 800m)[/tex]

[tex]5\ days = 5 * (4km+ 800m)[/tex]

Open bracket

[tex]5\ days = 5 * 4km+ 5 * 800m[/tex]

[tex]5\ days = 20km+ 4000m[/tex]

Convert m to km

[tex]5\ days = 20km+ 4km[/tex]

[tex]5\ days = 24km[/tex]

It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198 text messages?

Answers

Answer:

$19.80

Step-by-step explanation:

56÷5.60=.10

.10×198=19.8

Answer:

$19.80

Step-by-step explanation:

First, the unit rate of each text message is .1 so if we multiply 198 x .1 we get $19.80 which is your answer.

Hope this helps!

KATE'S DRIVING LOG
Day
Mileage
Monday
37.5 miles
Tuesday
38.1 miles
Wednesday
37.8 miles
Thursday
37.7 miles
Friday | 38.3 miles

3. On which day did Kate drive the fewest
number of miles?

Answers

Answer:

on Monday Kate drives the fewest number of miles

have a nice day

Help me lolz i would like it

Answers

Answer:

2/11 you are welcome

PLEASE HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:65

Step-by-step explanation:

un tren ha recorrido dos tramos de un viaje en 5,12 horas el primer tramo mide 143, 39 kilómetros y el segundo 176,45 kilómetros ¿cuál es la velocidad media con la que el tren recorrido esos dos tramos?

creo que la tarea se trata de operaciones combinadas con decimales
con proceso porfavor​

Answers

Answer:

...

Step-by-step explanation:

Sabes que no estoy muy seguro porque solo hablo un poco de español solo con mi familia, ¿puedes poner esto en inglés?

What is the area of the trapezoid shown below?


The area of the trapezoid is
square units.

Answers

Include the actual trapezoid please

Answer:

16

Step-by-step explanation:

6)
Tim was 27 years old 9 years ago. Which equation will tell you how old he is now?
A)
X + 9 = 27
B)
x-9-27
0
X + 9 = -27
D)
x-9--27

Answers

Answer:

It has to be x - 9= 27

so it can be x=36

If Tim was 27 years old 9 years ago, that’s the same as 27 + 9 = x where x is his current age.

We can rearrange this and bring 9 to the other side.

27 = x - 9

The last option D is correct.
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