Mathematics High School

The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second.
Find the numbers.

Answers

Answer 1

Answer:

4,8,14

Step-by-step explanation:

Answer 2

The three numbers are x = 4, y = 8 and z = 14 respectively.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the sum of three numbers as 26. The second number is twice the first and the third number is 6 more than the second.

Assume that the first number is x.

Then, the second number will be equal to 2x

The third number would be equal to (2x + 6)

Now, theirs sum is equal to 26. Therefore, we can write -

x + 2x + 2x + 6 = 26

5x + 6 = 26

5x = 26 - 6

5x = 20

x = 4

Then,

the second number (y) would be equal to (2 x 4) = 8

the third number (z) would be equal to (2 x 4 + 6) = 14

Therefore, the three numbers are x = 4, y = 8 and z = 14 respectively.

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Related Questions

Given the quadratic function f(x) = (x + 6)(x – 3):
The x-intercepts are
The y-intercept is

Answers

Answer:

Step-by-step explanation:

Given quadratic function is,

f(x) = (x + 6)(x - 3)

For x-intercept,

Substitute the value f(x) = 0.

(x + 6)(x - 3 = 0

x = 3, -6

So the x-intercepts will be,

(-6, 0) and (3, 0)

For y-intercept,

Substitute the value for x = 0,

f(0) = (0 + 6)(0 - 3)

     = -18

Therefore, y-intercept of the given quadratic function will be (0, -18).

Planning for his retirement, mr Lloyd opened a saving

Answers

Answer:

He's definitely on the right track on saving money for his retirement. As the years move along, he can continue to save money in his savings account.

Step-by-step explanation:

The table lists several points that form a line on a coordinate plane.


Based on the information in the table, what are the y-intercept and slope of the line described by these points?
O A y intercept: 2 slope: m = 4
В
intercept: -20; slopem
OC intercept: 5; slope: m = 4
D
intercept: 5: slope: m

Answers

Answer:

Slope is 1/4 (0.25) while y-intercept is 5

Step-by-step explanation:

Here, we are interested in getting the y intercept and slope of the line joining the given points.

We can get the slope by using any two points

Let’s say (4,6) and (12,8)

Mathematically; slope

= (y2-y1)/(x2-x1) = (8-6)/(12-4) = 2/8 = 1/4 = 0.25

To get the y-intercept, we proceed

kindly recall that the equation of a straight line is;

y = mx + c

where m is the slope and c is the y-intercept

Let’s take any of the points (28,12)

Thus:

12 = 0.25(28) + c

12 = 7 + c

c = 12-7

c = 5

The equation y = 14.3x + 17.1 estimates the amount that businesses will spend, in billions of dollars, on a certain business technology, where x is the number of years
after 2002. For what years will the spending be more than $60 billion?

Answers

2006 and later

First, plug in 60 for y. Then subtract 17.1 from both sides, and you get 42.9 = 14.3x, from which you divide 14.3 from both sides to isolate x. Since x = 3, the businesses will be spending less than or equal to $60 billion up to 3 years after 2002. The fourth year, which is 2006, will be greater than $60 billion

help me please its angle addition prostate
7x + 1 + x - 12 = -3

Answers

Answer:

x=1

Step-by-step explanation:

Which is reflex angle
a.180° b.280° c.270°​

Answers

Answer:

b)280° and c) 270°

A reflex angle is an angle which is more than 180° but less than 360°

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Step-by-step explanation:

180 is reflex angle.

hope it's helpful

Mark has $500 in his savings account. If he saves $25 each month,
how money months will it take him to have $1000?

Answers

So basically you already have 500 so 1000 - 500 which is 500 . So 500 divided by 25 is 20 therefore the answer is : 20

a recipe for make 2 dozen muffins requires 1 1/2 cups. how many cups of flour are required per dozen

Answers

Answer:

0.75 or 3/4 is the answer of this question.

Step-by-step explanation:

I hoped that helps u...

Thank you ☺️☺️☺️

Please help me with this problem!​

Answers

the answer is 954 according to my calculations

Moses spent 1/4 of his salary pm fees.He spent a 1/4 of the remainder on electricity and water bills for his rental house.He also spent 1/9 of his remainder on transport.If he finally has 8400/=. Calculate A)His total January salary B) Money spent on fees
C)Money spent on transportation

Rewards™ ??? points
and Brainiest ^^​

Answers

Answer:

(A)

Step-by-step explanation:

because i search it to google then i see the answer so please i want you to give me the brainlieast answer

Answer:

A = 87392.1

B = 21143.25

C = 579.27

Hope this helps you. Sorry for the handwriting.

In 1999 a one day adult ticket to
Disneyland was $41.00. In 2009,
that same ticket cost $72.00. Find
the percent of change.

Answers

Answer:

75.63%

Step-by-step explanation:

What are the answers I need help ?

Answers

Answer:

I can't see -_-

Step-by-step explanation:

I can't -_-

which pair of triangle can be proven congruent by the AAS theorem?

Answers

Answer:

The answer would be QRTS.

Step-by-step explanation:


Help please problem is worded weird

Answers

Answer:100

Step-by-step explanation:

Expand

x = 150 - 0.5x

Add 0.5x to both sides

x + 0.5x = 150

Simplify x + 0.5x to 1.5x

1.5x = 150

Divide both sides by 1.5

x = 150/1.5

Simplify 150/1.5 to 100

x = 100

Answer: the correct awnser is 100

Step-by-step explanation:

plz help i cant slove it

Answers

Answer:x=30

Step-by-step explanation:

So first you have to find x so add all your sides together:

Equation: 45+2x+0.5x+x=150

Combine like terms: 45+3.5x=150

Subtract 45 from -45 -45

both sides: 3.5x=105

Then divide by 3.5: x=30

Now that you have your x substitute it in:

2(30)=60

0.5(30)=15

and the last one is x=30

And there you have all your sides! If you wanna check it just add up all the sides and it should equal 150.

Divide. Then, check with multiplication.
a. 78 ÷ 21




b. 89 ÷ 37

Please help you will get 25 pts

Answers

Answer:

a.= 3.714

b.= 2.405

Step-by-step explanation:

a. 3.714 x 21 = 78

b. 2.405 x 37 = 89

4a^2-2b^2+40 a=2. b=7

Answers

Answer:

-92

Step-by-step explanation:

4a^2-2b^2+40 a=2. b=7

Fill in variables

4(2)^2-2(7)^2+40      a=2. b=7

8^2 - 14^2 + 40

64 - 196 +40 = -92

I agree -92 sounds correct
Hope this helps

Can someone pls explain the law of indices​

Answers

Answer:

Indices are used to show numbers that have been multiplied by themselves. They can also be used to represent roots, such as the square root, and some fractions. The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full.

Using indices

An index, or power, is the small floating number that appears after a number or letter. The plural of index is indices. Indices show how many times a number or letter has been multiplied by itself.

Step-by-step explanation:

The sum of 3 consecutive integers equals -3. What are the 3 integers?

Answers

Answer: 0, -1, -2

The sum of three consecutive integers is -3. So, we must find three consecutive numbers that total to -3.

The numbers can be 0, -1, and -2 because these are consecutive numbers.

So, the answer is 0, -1, and -2. Hope this helps you!

Which of the following lines is perpendicular to the line y = -3/5x + 1?

Answers

A perpendicular line to this one would be
.
Y=5/3x+1
.
Hope this helps :)

Box method for (x-5)(6x+12)

Answers

Answer:

6(x+2)

Step-by-step explanation:

I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)

What is CPCT in maths?​

Answers

Answer:

Step-by-step explanation:

CPCT is corresponding parts of Congruent Triangles. If two triangles are congruent, Their corresponding sides are equal. Their corresponding angles are equal.

your welcome!!

Can someone explain how to answer this

Answers

Answer:

q= -ck+dp/

-k+d

Step-by-step explanation:

Step 1:

Multiply both sides by p.

dp=ck−kq+pq

Step 2:

Flip the equation.

ck−kq+pq=dp

Step 3:

Add -ck to both sides.

−kq+pq=−ck+dp

Step 4:

Factor out variable q.

q(−k+p)=−ck+dp

Step 5:

Divide both sides by -k+p.

q= -ck+dp/

-k+d

Sorry if it's all letters and u needed numbers.

Any number raised to the zero power is one.
what is the rule for multiplying power is numbers

Answers

multiply the number by itself zero times , it's the only number which can be multiplied by any other number without changing that other number.

There are three significant digits in the number 0.00309
True
False

Answers

Answer:

true

Step-by-step explanation:

It's True (I think so) :)

the solution of the inequality |x + 1| + 2 > 5.

Answers

Answer:

|x + 1| + 2 > 5

use symbolab

The 6x −3y= 24 represents Shari’s distance from home, y in blocks, on her run across town over time, x, in minutes. What is the x-intercept of this line? What does the x-intercept represent?
Group of answer choices

Answers

Answer:

4; Shari ran past her home after 4 minutes.

Step-by-step explanation:

The x-intercept means that at 4 minutes the distance from home in blocks on her run across town over time is zero.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

6x - 3y = 24

x-intercept means y = 0.

So,

6x - 3 x 0 = 24

6x - 0 = 24

6x = 24

x = 4

Now,

The x-intercept means at 4 minutes the distance from home is o.

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is this aa theorem or sas theorem

Answers

I believe this is SAS because the angles are not the same so it cannot be angle angle it has to be SAS

Look carefully at the graph and find the slope.

​

Answers

Answer:

1/10

Step-by-step explananation:

A train travels 250 miles in 5 hours. At this rate, how many hours would it take for the train to
travel 750 miles?

Answers

Answer:

15 hours

Step-by-step explanation:

The answer would be 15 hours
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