The sum of two numbers is 29. The sum of 3 times the larger and 6 times the smaller is 111. Find the numbers.​

Answers

Answer 1

Answer:

8 and 21

Step-by-step explanation:

Answer 2

Answer:

The numbers are 21 and 8.

Step-by-step explanation:

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

According to question,

x + y = 29

or x = 29 - y ........(i)

Also,

3x + 6y = 111

Replacing x from (i), we get,

3(29-y) + 6y = 111

87 - 3y + 6y = 111

3y = 111 - 87

3y = 24

y = 24/3

y = 8

And,

x = 29 - y

= 29 - 8

= 21


Related Questions

For what values of x and y. Thank you

Answers

Answer:

x = 4 y = 9

Step-by-step explanation:

3x-1 = 2x+3

x = 4

2(4)+1 = 9

11-2 = 9

Plees what is 7x9 i ned help plees

Answers

The correct answer is 63

A day of the week is randomly chosen at random . What is the probability of choosing a Monday or Tuesday S?

Answers

Answer:

2 out of 7

Step-by-step explanation:

There are 7 days in a week( at least the last time I checked) Monday and Tuesday are 2 days of that week. Therefore it is 2/7.

If the length of the radius and the height of a right circular cylinder are both tripled to form a larger cylinder, what is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? (Note: The two cylinders are said to be "similar.")

Answers

Answer:

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27:1

Step By Step Explanation:

Volume of the smaller cylinder(V1)=π(r^2)h

Volume of the larger cylinder(V2)=π(r^2)h

=π(3r)^2*3h

=π*9(r^2)*3h

=27π(r^2)h

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27π(r^2)h/π(r^2)h i.e. 27:1

A research analyst for a car rental agency found that the probability distribution function for the age of the rental car (in years) is a straight line. The line decreases from the point (0, h) to the point (10, 0). None of the rental cars are older than 10 years. Enter your answers as decimals. 7(a). What is the height for the line when the age of the car is zero?

Answers

Answer:

10 years

Step-by-step explanation:

Given

Decline from (0,h) to (10,0)

See attachment for graph

Required

Determine the age when height = 0

The function of the graph is represented as: (age, height)

So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)

From the attached graph;

[tex]age = 10[/tex] when [tex]height = 0[/tex]

Hence, the age of the car is 10 years

You are asked to draw a triangle with side lengths of 10 inches and 13 inches. What is the longest whole number length that your third side can be?

Answers

Answer:

22

Step-by-step explanation:

10 plus 13 equals 23, so if it is more than that than the lines wont be able to connect. if it is 23 exactly, the triangle will be a stright line, not a triangle, so it is 22.

Answer:

22

Step-by-step explanation:

triangle inequality theorem:

10 + 13 > x

x < 23

10 + x > 13

x > 3

third side:  3 < x < 23

Please help me! NO sites or links please!




xoxo

Answers

answer is D
first you change all the denominator to the same 1/8x2 = 2/16 and 5/16 no need to change and 3/8x2 = 6/16 . And then you add them all together and it will be the answer of D ( you don’t need to add the denominator)

Having trouble with this onr

Answers

Answer: C

Step-by-step explanation: Hope this help :D

what is 7/14 fractions im in class and i dont know.? Can anyone help me????.

Answers

Answer:

[tex]\frac{7}{14} = \frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

7/14 as a simplified fraction is 1/2

Step-by-step explanation:

if you divide the numerator and denominator by 7 then 7(numerator) simplifies to 1 and 14(denominator) simplifies to 2

Give reason why n2=x

Answers

9514 1404 393

Answer:

P₂ and x are both supplementary to N₁Q₁R = 90° -xΔSMP ≅ ΔSMR ∴ PS ≅ SR

Step-by-step explanation:

1. Angles P₂ and N₁ are opposite angles of inscribed quadrilateral PMNQ, so are supplementary. Angles N₁ and N₂ form a linear pair, so are supplementary. Angles supplementary to the same angle (N₁) are congruent, hence P₂ = x ≅ N₂

__

2. ΔPMQ is isosceles, so angle Q₁ is also congruent to x.

__

3. In ΔPMQ, the sum of angles is 180°, so ...

  M₁ +2x = 180°

Dividing by 2 gives ...

  M₁/2 +x = 90°

Angle M₁ subtends arc PQ of circle M. Angle R inscribed in circle M subtends the same arc, so ...

  R = (M₁/2)

  R = 90° -x

__

4. From the above, we know that angles N₂ and R are complementary (total 90°), so angle S₂ = 90°. Segment MS will only intersect chord PR at right angles at the midpoint of that chord.

Hence S is the midpoint of PR and PS = SR.

Theo purchased an are rug for his dorm room. The dimensions of the rug are 8 feet by 9 feet. What is the area of Theo's rug?

Answers

Answer:  

72 feet

Step-by-step explanation:

8 feet by 9 feet well first you have to notice that the word by means to multiply so you have to multiply 8x9

so

8x9=72feet of the area

is 4x-2y=5 and -2x+y= 1 no solution? if not what is it?

Answers

Answer:  no solution

Step-by-step explanation:

here are the equations in y=mx+b form:

y=2x+1

y=2x+ -5/2

as you can see they have the same slope with different y-intercepts, this mean there are parallel AKA no solution

A baseball glove for $280 but it’s on sale for 55% off. Find the discount and the sale price.

Answers

Answer: The answer is 126 because if we minus 280 - 55% the answer is 126

$126

HOPE THIS HELPS

The following table shows Mr. Smith's class times for finishing a morning jog.


Allison finished how many seconds after Mia?



a.45 seconds

b.55 seconds

c.65 seconds

d.35 seconds

Answers

Allison finished A. 45 seconds after Mia! :)
A. 45 seconds...+10 seconds take sit to 6minutes then another +35 seconds makes it 45 seconds as the answer

I WILL GIVE YOU BRAINERLEST AND A LIKE

The area of a triangle is 20 square feet.
What are the height and base of the
triangle?

Answers

The height is 5 and the base is 8

Solve 3≥y−2. Graph the solution. The solution is

Answers

Answer:

y  ≤  5

Step-by-step explanation:

too lazy to explain :/

Find the gcd of 30,45,75

Answers

Answer:

gcd is 15

have a good day ahead

Answer:

15

Step-by-step explanation:

each number is divisible by 15

What is 103 % of 134?

Answers

Answer:

138.02

Step-by-step explanation: mark me brainlist?

What is { 1 + 7 - 6 + 99 }

Answers

1 + 7 - 6 + 99 = 101

Step-by-step explanation:

7 + 1 = 8

8 - 6 = 2

99 + 2 = 101

Hope to be brainliest! #SpreadTheKnowledge

Answer:

101

that was easy:D

mark me as brainliest plz

Please help me to figure out this math graph problem.

Answers

Answer:

Step-by-step explanation:

How many sides does a polygon have if the sum of the interior angles is 3420

Answers

Answer: 21 sides

Step-by-step explanation: (n-2)=3420  you should divide each side by 180

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62.10
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15
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Answers

Answer:

What kind of math is this?

Lucy drank 6 liters of water after 2 days. How many liters of water did she drink after 6 days?

Answers

Answer:

18 Liters of water

For the following system of equations, find the points where F(X)=G(X) by completing
the following table of values for X=0, X=1, X=15, and X=16. Select all that apply.
f(x) = -2- 20 + 46
g(x) = -3x2
+ 50x + 6
X
F(X)
G(X)
o
1
1
15
16
(1,53)
0 (0,6)
(16,38)
(15,36)
(0,46)

Answers

aaaaaaaaaaaaaaaaaaaa

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

(1,−1)
(1,1)
(1,0)
(0,1)

Answers

Answer:

(1,0)

Step-by-step explanation:

Given

[tex]H = (-2,2)[/tex]

[tex]I = (4,3)[/tex]

[tex]J = (4,-2)[/tex]

[tex]K = (-2,-3)[/tex]

Required

The midpoint of the diagonals

Midpoint is calculated as:

[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

For H and J, the midpoint is:

[tex]M = (\frac{-2+4}{2},\frac{2-2}{2})[/tex]

[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]

[tex]M = (1,0)[/tex]

For I and K, the midpoint is:

[tex]M = (\frac{4 - 2}{2},\frac{3-3}{2})[/tex]

[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]

[tex]M = (1,0)[/tex]

The midpoint of both diagonal is: (1,0)

Answer:

option C

Step-by-step explanation:

Answer please and explain

Answers

Answer:

Its about 678.584

Step-by-step explanation:

First plug in your given info so put 6 for the r and 6 for thr h. the r stands for radius and the h stands for hight. Then solve for 6 squared which is just 6*6 which is 36 then multiply that by 6 to get 216. then multiply 216 by pie to get your answer.  

If you need further explanation just comment on this for help

hi guys what is and can u please do the method 4050 divided by 100

Answers

Answer:

40.5

Step-by-step explanation:

what i do is I divided first by 10. because 100 is 10x10.

so 4050 divided by 10 is 405.

405 divided by 10 is 40.5

4050 divided by 100 = 40.5

What percent is represented by the shaded area?

Answers

41% is the answer good luck

Answer:

159% if you're talking about both the grids.

Step-by-step explanation:

What is the Natural Increase Rate (%) for the United States if there are 4 million Births and 2 million Deaths?

Answers

Answer:

it is almost 50% so good luck

The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2 hours and a standard deviation of 1.5 hours. The company's cost of the repair operation is $28 per hour. In the economic analysis of the waiting line system, Robotics uses $35 per hour cost for customers waiting during the repair process. What are the arrival rate and service rate in jobs per hour

Answers

Answer:

The correct answer is:

[tex]\lambda=0.375 \ jobs \ per \ hour[/tex][tex]\mu=0.5 \ jobs \ per \ hour[/tex]

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

Arrival rate = Jobs per hours

then,

                       = [tex]\frac{8 \ hours}{3 \ jobs}[/tex]

                       = [tex]2.666 \ hours \ per \ job[/tex]

The jobs per hour will be:

⇒  [tex]\lambda=\frac{1}{2.666}[/tex]

       [tex]=0.375[/tex]

(b)

Service rate = jobs per hour

then,

                      μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]

                         = [tex]0.5 \ jobs[/tex]

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