The sum of three numbers is 52. The third number is 2 times the first. The second number is 8 less than the first. What are the numbers?

Answers

Answer 1

Answer:

3rd number = 30

2nd number = 7

1st number = 15

Step-by-step explanation:

(T) total of three numbers = 52

let 3rd number = 2 x

let 2nd number = x - 8

let 1st number = x

T = 1st + 2nd + 3rd

52 = 2x + (x - 8) + x

52 + 8 = 4x

60 = 4x

x = 60 / 4

x = 15

therefore,

let 3rd number = 2 (15) = 30

let 2nd number = 15 - 8 = 7

let 1st number = 15

Answer 2

Answer:

3rd = 30

2nd  = 7

1st  = 15

Step-by-step explanation:

(T) total = 52

3rd  = 2 x

2nd = x - 8

1st = x

T = 1st + 2nd + 3rd

52 = 2x + (x - 8) + x

52 + 8 = 4x

60 = 4x

x = 15

so

3rd = 2 (15) = 30

2nd  = 15 - 8 = 7

1st  = 15


Related Questions

If y = 3. what is 6y?​

Answers

Your question has been heard loud and clear.

If y = 3 , then 6y = 6(3) = 18

Thank you

Find the length of the unknown side of the triangle.
The length of the unknown side of the triangle is​

Answers

Answer:

15.2971ft

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram in the attachment.

The triangle is a right angles triangle and the unknown side is the hypotenuse which is the longest side of a triangle and the other two sides are the opposite and the adjacent

Using the Pythagoras theorem to find the length of the hypotenuse, we will have;

hyp²= opp²+adj²

hyp²= 15²+3²

hyp²= 225+9

hyp²= 234

hyp = √234

hyp = 15.2971

Hence the length of the unknown side is 15.2971ft

why is 5.1 a rational number

Answers

Answer:

5.1 can be written as 51/10 (the quotient of the integers 51 and 10. So it is a rational number

Step-by-step explanation:

Recall that a rational number is a number that can be written as the quotient of two integer numbers.

In particular the number 5.1 can be written as 51/10 (the quotient of the integers 51 and 10. So it is a rational number.

What is the standard form equation of the line shown below?
5
4
3
2 +
o
+ +
3 4
2
5
-5 -4 -3 -2 -1
-1
-2
-3
-4
-6

Answers

Y=-2x-1 is the answer

Which is bigger 2.0 or 2

Answers

Answer:

both are the same

Step-by-step explanation:

2.0 = 2

hope this helps ^-^

Answer:

Both will be equal as 2.0 can also be written as 2

How to find out if a number is transcendental?

Answers

Answer:

A transcendental number is a real number that is not the solution of any single-variable polynomial equation whose coefficients are all integers . All transcendental numbers are irrational numbers . But the converse is not true; there are some irrational numbers that are not transcendental.

Step-by-step explanation:

Please help me with the question below

Answers

If the numbers are consecutive multiples of 6, and you want to call the smallest one ' n ', then the next one is (n+6) and the biggest one is (n+12).

Their sum is (3n + 18).  That's choice-C .

If you run into the same problem again, you might like to call the middle number ' n '.  Then the smallest one is (n-6) and the biggest one is (n+6),

and their sum is just 3n !  This is a lot easier to do in your head.

. Every month, there are 1000 independent TIE fighter flights, and each TIE fighter flight crashes with a probability of 0.0035. (a) What is the probability that at least 2 crashes occur in the next month

Answers

Answer:

[tex]\mathbf{P (X \geq 2) = 1 - P( X \leq 1) \sum \limits ^1_{x=0} ( ^{1000}_x) (0.0035)^x (0.9965)^{1000-x}}[/tex]

Step-by-step explanation:

From the information given:

The probability that at least 2 crashes occurs in the next month can be estimated by using Poisson distribution because the sample size is large and the probability of the event p = 0.0035 is rare.

Let X be the random variable that follows a Poisson  distribution

The probability that at least 2 crashes occurs in the next month is:

[tex]\mathbf{P (X \geq 2) = 1 - P( X \leq 1) \sum \limits ^1_{x=0} ( ^{1000}_x) (0.0035)^x (0.9965)^{1000-x}}[/tex]

My question is Multpiy (5 4/7)(-2 2/5) (idk what rational numbers are)

Answers

Answer:

Step-by-step explanation:

(39/7)(-12/5) = -468/35 = -13.37

Is there a smallest decimal that is greater than the number 2? Explain your answer.

Answers

Answer:

Technically, yes. It's called epsilon, which is defined as an infinitely small number. So

 2 + epsilon is the smallest number greater than 2. But for practical purposes no there isn't.

00

Step-by-step explanation:Not without limits. You can always move the .1 one place further from the interring. For example,  

2.1>2.01

and  

2.01>2.001

So, unless there are a limited number of decimal spaces, you can continually add an infinite amount of zeros behind the decimal point, followed by a one.

If you use two or three decimal spaces as a standard in your class, then the smallest decimal greater than 2 would be 2.01 or 2.001, respectively.

A boat sails on a bearing of 038°anf then 5km on a bearing of 067°.
a.how far is the boat from it's starting point
b.calculate the bearing of the boat from it's starting point​

Answers

This question is not complete

Complete Question

A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point

Answer:

a)8.717km

b) 54.146°

Step-by-step explanation:

(a)how far is the boat from its starting point.

We solve this question using resultant vectors

= (Rcos θ, Rsinθ + Rcos θ, Rsinθ)

Where

Rcos θ = x

Rsinθ = y

= (4cos38,4sin38) + (5cos67,5sin67)

= (3.152, 2.4626) + (1.9536, 4.6025)

= (5.1056, 7.065)

x = 5.1056

y = 7.065

Distance = √x² + y²

= √(5.1056²+ 7.065²)

= √75.98137636

= √8.7167296826

Approximately = 8.717 km

Therefore, the boat is 8.717km its starting point.

(b)calculate the bearing of the boat from its starting point.

The bearing of the boat is calculated using

tan θ = y/x

tan θ = 7.065/5.1056

θ = arc tan (7.065/5.1056)

= 54.145828196°

θ ≈ 54.146°

4(100,000,000) + 3(10,000,000) + 2(100,000) + 9(10,000) + 1(100)

Answers

Answer:

430290100 is the answer

Step-by-step explanation:

hope it help :)))))))))))))))))))))))))))))))))))))

Answer:

430290100

Step-by-step explanation:

please i need help i will give 15 points and mark brainlist for the best one !!!!! Which do you prefer: leaving √5 in radical form, or converting it to a decimal? Why? When would it be useful to use each? Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”

Answers

Answer: Change it to decimal

Step-by-step explanation:

Converting it to decimal makes it easier to work with. It might make be an extra step, but in the long run of the problem it helps to make calculations accurate and easier to solve by working with simpler numbers. Converting to decimal form makes the number more precise for square roots, which are usually not whole numbers.

a rectangle is 3 times as long as it is wide. the perimeter is 60 cm. find the dimensions of the rectangle. round to the nearest tenth if necassary.

Answers

Answer:

180

Step-by-step explanation:

60 x 3 =180

Answer:

l=22.5≅23 cm and w=7.5≅8 cm

Step-by-step explanation:

l=3w

p=60 cm

p=2(l+w)

60=2(3w+w)

60=2(4w)

60=8w

[tex]\frac{60}{8}=\frac{8w}{8}[/tex]

w=7.5≅8 cm

l=3w

l=3*7.5

l=22.5≅23 cm

check

p=2(l+w)

p=2(22.5+7.5)

p=2(30)

p=60 cm


Is (1,9) a solution to this system of
equations?
y = x + 6
y = 2x + 7?

Answers

Answer:

No, the solution of the system is (-1,5)

What is the equation of the line that passes through the points (- 2, 3) and (4, 1)

Answers

Answer:

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = ((- 2, 3) and (x₂, y₂ ) = (4, 1)

m = [tex]\frac{1-3}{4+2}[/tex] = [tex]\frac{-2}{6}[/tex] = - [tex]\frac{1}{3}[/tex] , thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 3), then

3 = [tex]\frac{2}{3}[/tex] + c ⇒ c = 3 - [tex]\frac{2}{3}[/tex] = [tex]\frac{7}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{7}{3}[/tex] ← equation of line

Complete the table shown below. f(x) = 2x2 - 8x + 6 1 0 2 y 3 4. 6 X= y = Z ​

Answers

Answer:

x = 6, y = -2, z = 0

Step-by-step explanation:

To find x, we have to plug 0 into f(x). Therefore, x = f(0) = 2 * 0² - 8 * 0 + 6 = 6. Similarly, to find y, we have to plug 2 into f(x) so y = f(2) = 2 * 2² - 8 * 2 + 6 = -2. Finally, z = f(3) = 2 * 3² - 8 * 3 + 6 = 0.

Answer:

6, -2, 0

Step-by-step explanation:

Samantha conjectures that for x < - 1 it is true that x ^ 5 - 2 > x her conjecture correct? Why or why not?

Answers

Answer:

Her conjecture is not correct

Step-by-step explanation:

Given

[tex]x^5 - 2 > x[/tex]

For [tex]x < -1[/tex]

Required

Determine if the conjecture is true

[tex]x < -1[/tex] implies that the values of x are:

-2, -3, -4, -5.....

Take any value of x and substitute in [tex]x^5 - 2 > x[/tex]

Let x = -3

[tex]x^5 - 2 > x[/tex] becomes

[tex]-3^5 - 2 > -3[/tex]

[tex]-243 - 2 > -3[/tex]

[tex]-245 > -3[/tex]

The above inequality is false;

Hence:

Her conjecture is not correct

Solve for y.
2y - x = 3/4 (-y +1 )

Answers

Answer:

kyskyskyskyskyskyskys

You have to simplify both sides of the equation, then isolating the variable you should get:

Y = 4x/11 + 3/11

If you get this you are a critical thinker.
I enter the garden.
There are 34 people.
You kill 30.
How many people are in the garden.
Good luck!
If you get it correct your answer will be deleted and l will message you to continue the game.
Don't play if you are not going to continue party poopers!
I won against Lisa Swensrud

Answers

Answer:

5

Step-by-step explanation:

Because when you walk in there is now 35 people 35 - 30 = 5

There are 34 people in the garden.

In order to answer the question, you've to think critically, it should be noted that even if 30 people are killed, they are still in the garden.

Also, the fact that you entered the garden still makes the total number 34. Therefore, in this situation, the total number of people in the garden is 34.

Read related ink on:

https://brainly.com/question/17377020

Chili recipe makes enough for 4 servings. The recipe calls for 5 tomatoes. You plan on making enough chili for 10 servings. How many tomatoes will you use?​

Answers

Answer:There are 4 servings and if there is So we use 19 tomatoesStep by Step explanation:U have to do addition i think cause we have just 5 tomatoes and i plan to make enought chili for 10 serving

Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.)

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   No singular point due to the exponent in the solution

    The interval is   [tex]-\infty  <0 <  \infty[/tex]

b

   NONE

Step-by-step explanation:

From the question we are told that

     [tex]\frac{dy}{dx} =  9y[/tex]

The generally solution is mathematically represented as

         [tex]\frac{dy }{dx}  =  9y[/tex]

=>       [tex]\frac{dy}{y}  =  9dx[/tex]

integrating both sides  

         [tex]\int\limits  {\frac{ dy}{y} } \,  = \int\limits  {9} \, dx[/tex]

  =>   [tex]lny = 9x + c[/tex]

 =>   [tex]y =  e^{9x +c }[/tex]

 =>    [tex]y =  e^{9x} e^{c}[/tex]

Here [tex]e^c  =  C[/tex]

=>     [tex]y = C  e^{9x}[/tex]

From the above equation we see that the domain for x has no singular point the interval is

       [tex]-\infty  <0 <  \infty[/tex]

Also there is no transient term in the general solution obtained because as  [tex]x \to \infty[/tex] there no case where [tex]y \to 0[/tex]

A right angle intersects a line at point M

Answers

Answer:

where is the graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is the picture

Brainliests offered whoever answer my question.


1: find the value of 8 4s. It’s not 84 but it’s 8 and then at the top it’s 4.

2: a mug is 1/7 full. The mug contains 1/3 of a cup of water. Find the capacity of the mug. Write the answer a fraction or mixed number in simplest form.

Answers

Problem 1

If you meant to say [tex]8^4[/tex], then you would have four copies of 8 multiplied together

[tex]8^4 = 8*8*8*8 = 4096[/tex]

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

Problem 2

1/7 full = 1/3 cup of water

7*(1/7 full) = 7*(1/3 cup of water) ... multiply both sides by 7

1 full = 7/3 cup of water

So a full mug has 7/3 cups of water. Let's convert this to a mixed number

7/3 = (6+1)/3

7/3 = 6/3 + 1/3

7/3 = 2 + (1/3)

7/3 = 2 & 1/3

The full capacity of the cup is 7/3 cups or 2 & 1/3 cups

7/3 is the improper fraction form

2 & 1/3 is the mixed number form

One way to think of it is to imagine there are 7 cookies and you want to distribute among 3 friends. We could say 7/3 = 2 remainder 1 meaning each person gets 2 full cookies and there's 1 left over. So that's how we'd get 2 & 1/3.

You want to estimate the mean amount of time college students spend on the Internet each month. How many college students must you survey to be 95% confident that your sample mean

Answers

Answer:

752.95

Step-by-step explanation:

Data provided in the question

The standard deviation of population = 210

The Margin of error = 15

The confidence level is 75%, so the z value is 1.96

Now the required sample size is

[tex]= 1.96^2\times \frac{210^2}{15^2}[/tex]

= 752.95

Hence, the number of college students spends on the internet each month is 752.95

Simply we considered the above values so that the n could come

4.) In a cage are a total of 40 cats and dogs, each one being black or white . Eleven
of these animals are white, and 12 of the dogs are black. If there are 19 cats, how
many cats are white?

Answers

40-19=21

21-12=9

11-9=2

2 white cats

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (3,1). slope= 4/3​

Answers

Answer:

y = 4/3x - 3

Step-by-step explanation:

Use the slope intercept equation, y = mx + b, where m is the slope and b is the y intercept:

Plug in the point given and the slope to find b:

y = mx + b

1 = 4/3(3) + b

1 = 4 + b

-3 = b

Then, plug this and the slope into the equation:

y = 4/3x - 3 will be the equation

The average cost of a scientific calculator was $96.50 in 1970. The same type of calculator cost $21 in 2016. Assuming the exponential decay model applies, what will a similar calculator cost in the year 2019? Round your answer tbo the nearest cent.​

Answers

Answer: the cost of a similar scientific calculate in 2019 will be $19.01

Step-by-step explanation:

Given that;

in 1970 cost of S.C = $96.50

in 2016 cost of same calculator = $21

In 2019 cost of a similar calculator = ?

Assuming the exponential decay model applies

dN/dt = -λN

we know that λ is the decay constant

⇒ N(t) = N₀e^-λt

N(t) is price at time t year, N₀ is initial price,

so t = 0 in 1970 thus N₀ = 96.50

also t = 46 in 2016 thus N₄₆ = 21

substituting into our initial expression

N(t) = N₀e^-λt

N(46) = N₀e^-λ×46

21 = 96.50e^-46λ ⇒ In 21/96.50 = -46λ

= -1.5250 = - 46λ

λ = -1.5250 / -46

λ = 0.03315

t = 0 in 1970 thus N₀ = 96.50

also t = 49 in 2019 thus N₄₉ = ?

so

using our initial expression again

N(49) = N₀ e^-49λ

= 96.5 × e^ (-49 × 0.03315 )

= 96.5 × 0.197014404

= 19.01189 ≈ 19.01

therefore the cost of a similar scientific calculate in 2019 will be $19.01

6-4x=7x-9x+8 What is the answer to my question

Answers

Answer:

-1

Step-by-step explanation:

We have our expression

6 - 4x = 7x - 9x + 8

Combine like terms

6 - 4x = -2x + 8

Add 2x to both sides, and subtract 6 from both sides

-2x = 2

x = -1

Answer:

-2x − 2 = 0 is the answer to this

PLEASE HELP ME!!! Which inequality best represents that ice cream at -5 degrees celsius is cooler than 4 degrees celsius? A. -4 D.C > 5 D.C B. -4 D.C -5 D.C

Answers

Answer:

i think but I am not sure so maybe ask somebody else but I think it is A.

Step-by-step explanation:

I just think it is

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