Find three consecutive odd integers such that the sum of the first, two times the second, and three times the third is 70

Answers

Answer 1

Answer:

9, 11 and 13

Step-by-step explanation:

Let the integers be x, x + 2, x + 4.

x + 2(x + 2) + 3(x + 4) = 70

x + 2x + 4 + 3x + 12 = 70

6x = 54

x = 9

therefore the three integers are 9, 11 and 13

This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)


Related Questions

A mountain climber is scaling 500-foot cliff. The graph shows the elevation of the climb over time. What is the slope?

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Where’s the graph you didn’t put it

How much will Ashley’s plan cost for the same number of texts as when Jumel’s costs $75? Show your work and write your answer in a sentence.

Please help me out

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Answer: In order to begin figuring that out, we need to know how both of their plans work.

On a map, the coordinates (2,-1) and (4,8) pass through the coordinates (1,3) and (6,2). Are they perpendicular

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Answer:

Step-by-step explanation:

Steve went to the grocery store. The initial subtotal of his bill was $105.23. Steve then used 5
coupons of the same value. If his subtotal after coupons was $101.48, how much was each
coupon worth?

Answers

Answer:

105.23-101.48=3.75

3.75/5=0.75

Step-by-step explanation:

Semisuma lungimii bazelor este formula de calcul pentru: *

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Answer:

Can I Know Which Language Is This??

A large basket of fruit contains 3 oranges, 2 apples and 5 bananas. If a piece of fruit is chosen
at random, what is the probability of getting an orange or a banana? ​

Answers

A 5/10 chance of getting a banana. And a 3/7 chance for the orange

Answer:

8/10

Step-by-step explanation:

3+2+5=10 options in total. 3 oranges and 5 bananas means 3+5=8 --> 8/10 chance of picking an orange or banana

Find the solution for this system of equations:
y = -6x - 8
y = 46
O A) (24, -36)
OB) (36,-5)
OC) (46, -7)
OD) (-9. 46)

Answers

46=6x-8
+8 +8
54=6x
54/6=9
x=9

Which unit would be most appropriate to measure the
width of the basement of a house?
A centimeters B meters C millimeters D kilometers

Answers

Answer:

measure the length of the area.and the width of the area. using feet

sara affirme que la somme de trois entiers consécutifs est toujours impaire. a t-elle raison . mickeal affirme que la somme des trois enters consécutifs est toujours un multiple a trois a t-il raison?

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I’m not sure lo siento

3.what is the answer to this problem?

Answers

It is not a function because functions can’t have the same x axis
Domain is input so x axis So list all the x axis
Range is output so y axis and list all y axis

How many leaf are longest

Answers

I need the sheet to see


Please Help quick quick

Answers

Answer:

4

Step-by-step explanation:

Answer:

x=-5/3

x=-34/9

1)
Which number is NOT in the solution set of x + 8 > 15?
A)
6
B)
8
C)
10
D)
12

Answers

Answer:

A) 6

Step-by-step explanation:

x + 8 > 15

x > 15 - 8

x > 7

8, 10, and 12 are all greater than 7. 6 is NOT

Answer: is A because 6+8=14 when the rest of the choices are bigger then 15

Which of the following is equivalent to 5x − 6y  =  8?

A. y = -5/6x
B. y = 6/5x + 2
C. y = 5/6x - 4/3
D. y = 8/11x​

Answers

Answer:

b

Step-by-step explanation:

Answer is B. Y=6/5+2

Translation of, “Six less than twice the value of x,”.

Answers

Answer:

2x-6

Step-by-step explanation:

Consider the equation: 3(–4n – 9) = 21
Use the distributive property and properties of equality to solve for n.

Answers

Answer: N=-4

Step-by-step explanation:

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  -4n - 9  =   -1 • (4n + 9)

Equation at the end of step

2

:

 -3 • (4n + 9) -  21  = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  -12n - 48  =   -12 • (n + 4)

Equation at the end of step

4

:

 -12 • (n + 4)  = 0

STEP

5

:

Equations which are never true:

5.1      Solve :    -12   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    n+4 = 0

Subtract  4  from both sides of the equation :

                     n = -4

One solution was found :

n = -4

Answer:

The answer is Negative Four -4

Step-by-step explanation:

Find the equation of the line that passes through points A and B

Answers

The answer is y=2x-1
Find slope using formula
(Y2-y1)/(x2-x1)
The points: (4,7) , (2,3)
(3-7)/(2-4) = -4/-2 = 2
Y = 2x + b
Plug in a point to find b
7 = 8 + b, b = -1
Equation y = 2x - 1

If c varies diráctly as (1 + 1) and c= 8, when r = 3, calculate the value ofr when c= 20.
(4marks)​

Answers

c = k(r + 1)

8 = k(3 + 1)

8 = 4k

8/4 = k

2 = k

c=2(r + 1)

When c = 20, then

20 = 2(r + 1)

20 = 2r + 2

20 - 2 = 2r

18 = 2r

18/2 = r

9 = r

Therefore, the value of r is 9 when c is 20.

The time, t, required to empty a tank varies inversely as the rate, r, of
pumping. If a pump can empty a tank in 2.5 hours at a rate of 400 gallons per
minute, how long will it take to empty a tank at 500 gallons per minute?

Answers

Answer:

2 hours

Step-by-step explanation:

2.5 * 400 = 1000

1000 / 500 = 2

Hope this helped!

Liza’s age is two more than thrice the age of her younger sister.if her sister is 5 years old, how old is Liza?

Answers

Answer:

17 years old.

Step-by-step explanation:

sisters age:5

5×3+2=17.

Answer:

Liza is 17 years old.

Step-by-step explanation:

Ley 'x' be the age of Liza's younger sister

As Liza’s age is two more than thrice the age of her younger sister

so the equation of Liza's age will be:

Liza's age = 3x+2

As x = 5 years is Liza's younger sister age

so

Liza's age = 3(5)+2

                 = 15+2

                  = 17 years

Therefore, Liza is 17 years old.

If roots of a quadratic equation are real and equal, then which of the
following options is true?

Answers

Answer: where are the options??

Step-by-step explanation:

A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder  = 18mm

radius  = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

  Volume  = π r ² h

Insert the given parameters and solve;

  Volume  = 3.14 x 18² x 18

  Volume  = 18312.5mm³

Find the equation if the line shown

Answers

Answer:

y=1/2x+9

Step-by-step explanation:

First find slope: (y2-y1)/(x2-x1)
Pick two points: (0,9), (1,7)
(7-9)/(1-0) = -2/1 = -2
Y = -2x + b
9 = 0 + b, b = 9
Slope intercept equation:
Y = -2x + 9

9. Matt bought a new crate for his dog. The old crate was 8 square feet, and the new crate was 12 square feet. What is the percent increase in the space?

Answers

Solution:

It is given that :

Area of old crate = 8 square feet

Area of the new crate = 12 square feet

Therefore difference in the area = 12 - 8

                                                     = 4 square feet

Now the percentage increase in the area of the crate is given by :

[tex]$=\frac{\text{difference in the area of crate}}{\text{original area of crate}} \times 100$[/tex]

[tex]$=\frac{4}{8} \times 100$[/tex]

= 50%

So the percentage increase in space is 50%

PRESSSSSSSSSSS CTRL W

:D

Answers

Answer:lol

Step-by-step explanation:

Answer
Watch All American on Netflix
Explanation

87789-8977609-78860=

Answers

Answer:

-8968680

Step-by-step explanation:

If this is what your looking for if not sorryyyy

87789-8977609-78860 all you have to do is use a calculator(if you can) or do it the old school way. First, what I did was subtract the first two numbers 87789 and  8977609  to get -8889820 and then subtracted 78860 from that to get a total of -8968680.

PLEASE HELP ME IVE BEEN ASKING FOR AN HOUR PLEASE

Answers

Answer:

4

Step-by-step explanation:

Go up 1 and go right 3, repeat that pattern.

Conditional Statement: If two lines are parallel, then they do not intersect. Converse: If two lines do not intersect, then they are parallel. Inverse: If two lines are not parallel, then they intersect. Contrapositive: If two lines intersect, then they are not parallel. Which statements are true? A) Converse and Inverse B) Inverse and Contrapositive C) Conditional Statement and Converse D) Conditional Statement and Contrapositive

Answers

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

Two or more lines which have no intersections but are not parallel, known as skew lines.

Option D is correct.

Conditional Statement: If two lines are parallel, then they do not intersect.

Converse: If two lines do not intersect, then they are parallel.

Inverse: If two lines are not parallel, then they intersect

Contrapositive: If two lines intersect, then they are not parallel.

Thus,  option (D) Conditional Statement and Contrapositive , is correct.

Converse and Inverse are false because skew lines are a type of lines which are neither parallel nor intersecting in 3D

Learn more:

https://brainly.com/question/2557987

Richard is riding in a hot air balloon. The hot air balloon rises 200 feet in 50


seconds.


If the hot air balloon rises at the same rate each second, what is the hot air balloon’s rate per second?



200

feet per second



4

feet per second

4 feet per second

−4

feet per second

negative 4 feet per second

−200

feet per second

Answers

Answer:

4 ft per second

Step-by-step explanation:

We are given that it takes 50 seconds to go 200 feet

in order to find the ft/second, we divide by 50

50/50=1

200/50=4

so 4 ft/ 1 second

For a science class, David recorded the daily high temperatures for five days. His calculations showed that the mean and median temperatures for the five days were the same. Which set of data supports David's calculation?

1. (42°, 40°, 44°, 39°, 45°)

2. (42°, 39°, 38°, 44°, 46°)

3. (42°, 39°, 38°, 45°, 47°) ​

Answers

The correct answer is 1
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