The second of three numbers is 5 times the first. The third number is 3 more than the second. If the second is decreased by twice the third, the result is -21. Find the Three numbers

Answers

Answer 1

Answer:

tag archives and records and counting the days

Answer 2

Answer:

1st number is 6

2nd number is 30

3rd number is 33

Step-by-step explanation:

Let x be the first number.

The second of three numbers is 5 times the first = 5x

The third number is 3 more than the second = 5x + 3

If the second is decreased by twice the third, the result is -21.

Multiply the third number by 2.

2(5x + 3)

= 10x + 6

Subtract the second number to it.

(5x)-(10x + 6) = -21

-5x - 6 = -21

Use APE or Addition Property of Equality

-5x = -21 + 6

-5x = -15

Use DPE or Division Property of Equality to get the value of x

[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]

x = 3

Now put the value of x in the equation

first number(x) = 6

second number(5x) = 5(6) = 30

third number(5x + 3)

5(6) + 3

30 + 3 = 33


Related Questions

How many ? yards = 6 miles

Answers

[tex]6 \: miles⟹10560 \: yards[/tex]

Answer:

6 miles = 10560 yards

Step-by-step explanation:

To calculate a mile value to the corresponding value in yard, just multiply the quantity in mile by 1760 (the conversion factor). Here is the formula:

Value in yards = value in mile × 1760

Suppose you want to convert 6 mile into yards. Using the conversion formula above, you will get:

Value in yard = 6 × 1760 = 10560 yards

2 2/3, 2 6/15, 2 3/5, 2 4/9 sorted from least to greatest

Answers

Answer:

2 6/15, 2 4/9, 2 3/5, 2 2/3.

Answer:

2 6/15, 2 4/9, 2 3/5, 2 2/3

Step-by-step explanation:

2 6/15 = 2 2/5

8/3, 12/5, 13/5, 22/9

120/45, 108/45, 117/45, 110/45

Se construye cubo de madera de qué tiene 26 m de aristas y se debe cubrir todo el cubo con plástico cuántos metros cuadrados de plástico se necesitará

Answers

Answer:

i tink its a

Step-by-step explanation:

Help pls ASAP plssss

Answers

Answer:

y=2x-1

Step-by-step explanation:

The y-intercept is -1

The slope is 2

Need the answer to this pls

Answers

Answer:

b

Step-by-step explanation:

y=-1/4 x -3


A delivery company has a fleet of vans. The annual operating cost in dollars) per van is C = 0.37m + 2600, where m is the number of miles traveled by a van in a year. What number
of miles will yield an annual operating cost of $13,700?
mi

Answers

Answer:

Step-by-step explanation:

put C=13,700 and find m

The number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

How to determine What number of miles will yield an annual operating cost of $13,700

To find the number of miles that will yield an annual operating cost of $13,700, we need to solve the given equation for \(m\):

\[C = 0.37m + 2600\]

Given \(C = 13700\), we can substitute this value into the equation and solve for \(m\):

\[13700 = 0.37m + 2600\]

Subtract 2600 from both sides:

\[11100 = 0.37m\]

Now, divide both sides by 0.37:

\[m = \frac{11100}{0.37}\]

Calculate the value of \(m\):

\[m \approx 30000\]

So, the number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

Learn more about operating cost at https://brainly.com/question/30566291

#SPJ3

Alina thinks that the first step in solving the equation shown below could
be to use the subtraction property of equality. Olivia thinks that the multiplication
property of equality could be used first. Who is correct?

Answers

Answer:

H

Step-by-step explanation:

Both.

However, multiplication is a good deal more awkward and anytime things are awkward, there's room for errors. However the question is what to do, not which is better.

The answer is both.

[f-g] (3) for f(x)=4x+3 and g(x)=8/x+2 step by step!

Answers

Answer:

10.4

Step-by-step explanation:

x=3⇒f(3)= 4×3+3=15

x=3⇒g(3)=8/3+2≈4.6

f(3)-g(3)=15-4.6=10.4

Find the measure of the supplement of an angle that measures 72º.
O 18°
O 36°
O 72°
O 108°

Answers

The answer is 108. Supplementary angles add up to 180 degrees.

3. 13.2 -0.006

How would you show the work

Answers

Answer:

13.194

Step-by-step explanation:

  13.2

-   0.006

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

Just add zeros on the part where there are no numbers

  13.200

-    0.006

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

    13.194

Amelia had 22 sea shells. Then, she collected 9 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?

Answers

Answer:

22 + 9 - S

Step-by-Step Explanation:

Amelia started with 22 seashells and found 9 more so you add that together then since she gave S amount of seashells away to her sister you minus it.

Rick’s Rentals is a car rental company that uses the function f(x)=22+0.10x to determine the to
tal cost of a rental as a function of how many miles a person drives. Penny’s Pencils is another company that uses a similar function g(x)=22+0.10x to determine the total cost of an order of personalized pencils as a function of the number of pencils ordered. Determine the domain and range of the company whose function is continuous and justify your answer.

Answers

Answer:

Step-by-step explanation:

The number of miles driven is sometimes written as a mixed number, and thus is a continuous variable (whereas the number of pencils purchased is not continuous (it's a whole number).

The domain of the continuous function are [0, n), where n represents the number of miles driven and is rarely over about 500 miles per day; the range is [$22, r), where r is ($0.10/mile)(number of miles driven), or approximately $50.  If the renter drove 600 miles the upper end of the range would be $60.  And so on.

100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!

Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Question 16 options:

A)

(1, 1)

B)

(–1, 1) and (1, 1)

C)

(–1, 1) and (0, 2)

D)

(–1, 1)

Answers

Answer:

  D)  (–1, 1)

Step-by-step explanation:

The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.

  y = y

  -x² +2 = x² +4x +4

  2x² +4x +2 = 0 . . . . . . . . . add x² -2

  2(x +1)² = 0 . . . . . . . . . factor

  x = -1 . . . . . . . . . . one solution that makes the factors zero

  y = -x² +2 = -(-1)² +2 = -1 +2 = 1

The only solution is (x, y) = (-1, 1).

Who could help me out on these questions there is a store to it ! Asap pleaseee

Answers

where is the passage?

Triangle MAF has sides lengths 223, 258 , and 276. Find the measure of the largest angle. a) 68.72degrees b) 69.56degrees c)66.98degrees d) 70.45degrees

Answers

Answer:

Step-by-step explanation:

The largest angle will be opposite the longest side.

Use law of cosines

276² = 223² + 258² - 2(223)(258)cosθ

θ = 69.596009... = 69.60°

Which is closest to answer b)

A right triangle with a hypotenuse of square root of 61 has an area of 15 square inches. Find the lengths of the other two sides.



Answers

The lengths of the other two sides are 6 inches and 5 inches

Let b represent the base of the right triangle, h represent the height of the right triangle and x represent the hypotenuse.

Since the area of the triangle is 15 in², hence:

Area(A) = (1/2) * base * height

15 = (1/2)bh

bh = 30  

b = 30/h         (1)

Applying Pythagoras theorem also:

x² = b² + h²

(√61)² = b² + h²

61 = (30/h)² + h²

61 = 900/h² + h²

61h² = 900 + h⁴

h⁴ - 61h² + 900 = 0

h = -6, -5, 5, 6

Since the length cant be negative, hence h = 5 or h = 6

When h = 5; b = 30/5 = 6

When h = 6; b = 30/6 = 5

Therefore the lengths of the other two sides are 6 inches and 5 inches

Find out more at: https://brainly.com/question/2773823

Please help me Asp please really fast

Answers

X = 20 is the correct answer

Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 34-5=-2N+ 10? Select two options Ox= 5 0 -15 = -5x 0 5x = 15 0 -15 = 5x Ox = -5

Answers

Answer:

-15 = -5x

5x = 15

Step-by-step explanation:

Pete says the relationship between the amount he weighs and his age are proportional do you agree or disagree? explain

Answers

Answer:

Disagree

Step-by-step explanation:

I dont think this is a math question but answering it in a science point of view it would make sense to disagree with Pete. There is a lot of factors that go into the weight of a person such as gender, age, body frame, and height. Lots of people can vary which is why its not proportional

let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?

Answers

The value of P - Q as described in the question above is; P -Q = 2.

According to the question;

P = number of primes less than 100Q = number of primes less than 90

Since, we are required to determine what the value of P-Q is;

The value of P-Q is simply the number of primes between 90 and 100.

The prime numbers between 90 and 100 are; 91 and 97.

Therefore, P - Q = 2.

Read more;

https://brainly.com/question/22257959

what 2.3892 decimal of the round to nearest hundredths

Answers

Answer:

2.38

Step-by-step explanation:

William wish1wish woman weeks whereby when wishful willful

As you may know, the 8 would be located in the hundreaths place.

2.3892

If the number right of 8 is five for less, it says the same. If it's 5 or more, then 8 would change. In this case, 9 is more than 5 meaning that 8 becomes 9. However, we aren't quite finished yet. 9 and everything left of that number must become 0.

Your answer would be 2.39.

It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years?

Answers

Answer:

$139 463.95

Step-by-step explanation:

100% - 4.6% = 95.4%

95.4% ÷ 100 = 0.954

0.954 --> decimal multiplier

$185 000 × 0.954^6 = $139 463.95

Hope this helps! <3

Function or non functional???

Answers

Answer:

The relation is a function.

Step-by-step explanation:

In the given relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)}:

A relation is a function for which none of the ordered pairs have the same first component and different second components.  

In the given relation:

The first component comprises of: {A, B, D, F, G}. The second component comprises of: {8, 8, 5, 5, 8}.

The given relation represents a function since none of the first components  have the same corresponding second components.  In other words, there are no repeating values of A, B, D, F, and G. Each of these values has its own corresponding second component.  

Therefore, the relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)} is a function.

r^2- 3s^2; r= -2, s=3

2 – 3s^² =

Answers

Answer:

-23

-25

Step-by-step explanation:

r² - 3s² → (-2)² - 3(3)²  → 4 - 27  → -23

2 - 3s²  → 2 - 3(3)²  →  2 - 27  → -25

A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?

solve using a system of equations. will mark brainliest for correct answer and working

Answers

Answer:

2 6/7 km/h

Step-by-step explanation:

t - time spent by boat, s - speed of the raft

time  = distance / speed

Equations:

t = 20 / 12t + 5 h 20 m = 20 / s

Time the patrol-boat spent:

t = 20/12 = 5/3 h

Time the raft spent:

5 h 20 min + t = 5 1/3  + 5/3 =16/3 + 5/3 =21/3 =7 hours

The speed of the raft:

7 = 20/ss = 20/7s = 2 6/7 km/h

Please help I do not really know what I’m doing if you could give an example of that would be good too but if not that’s OK

Answers

Answer:

the dot would be shaded in and from -6 go to the left

Step-by-step explanation:


Javad had a mix of yellow and red jellybeans as shown on the
graph. If there are 40 total jellybeans in his bag, how many
are red?

Answers

Hi there!!

The ratio of red jelly beans to yellow is 7:3.

There are 40 jelly beans.

7+3 is 10.

40/10 is 4.

7*4 is 28.

Therefore, 28 jelly beans are red.

it has been suggested that the percentage of drivers in the us that use a blinker when changing lanes is58% you plan to observe 50 cars during a lane change. What type of distribution could you use to determine the number of cars you will observe before finding a car the does not use a blinker during a lane change?

Answers

Since the number of trials is not fixed, an inverse binomial distribution is used.

For each car, there are only two possible outcomes, either they use a blinker during lane change, or they do not. The probability of a car using a blinker during lane change is independent of any other car, which means that the number of cars that do not use a blinker during a lane change is a binomial variable.

However, we are counting the number of trials until observing a car that does not use a blinker during a lane change, hence, it is an inverse binomial variable.

A similar problem is given at https://brainly.com/question/25644451

Write an equation for the nth term of the arithmetic sequence –1, –3, –5, –7,

Answers

Answer:

[tex]a_n=-1+(n-1)(-2)[/tex]

Step-by-step explanation:

The arithmetic sequence formula looks like this:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

Each consecutive term is decreased by 2 over the last, so d = 2. The first term is -1 of course, so you can write this equation:

[tex]a_n=-1+(n-1)(-2)[/tex]

Just to confirm:

[tex]a_n=-1+(n-1)(-2)\\a_3=-1+(2)(-2)\\a_3=-1-4\\a_3=-5[/tex]

And it works, -5 is the 3rd term in the sequence.

Answer:

[tex]a_{n}[/tex] = 1 - 2n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = a₂ - a₁ = - 3 - (- 1) = - 3 + 1 = - 2 , then

[tex]a_{n}[/tex] = - 1 - 2(n - 1) = - 1 - 2n + 2 = - 2n + 1 = 1 - 2n

Find the lcm of 4 and 4?

Answers

Answer:

lowest common multiple of 4 and 4 is 4

To verify those for alpha and beta, simply substitute the known values:

sin 30° = cos 60° = 1/2

sin 60° = cos 30° = √3/2

cos 90° = sin 0° = 0

sin -30° = -1/2

sin 120° = √3/2

a.

cos 90° = cos 30° cos 60° - sin 30° sin 60°

0 = √3/2 * 1/2 - 1/2 * √3 / 2 = √3/4 - √3/4 = 0

verified

b.

sin -30° = sin 30° cos 60° - cos 30° sin 60°

-1/2 = 1/2 * 1/2 - √3/2 * √3/2 = 1/4 - 3/4 = -2/4 = -1/2

verified

c.

sin 120° = 2 sin 60° cos 60°

√3/2 = 2 * √3/2 * 1/2 = √3/2

verified

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