The sum of three numbers is 62. The second number is triple the first, and the third is six more than the
second. Find the numbers.

Answers

Answer 1

Answer:

The numbers are 8, 24 and 30

Step-by-step explanation:

Let x be the first number.

If the second number is triple the first, then the second number is 3x

If the third number is the second number plus six, then the third number is 3x + 6

So therefore the equation is:

[tex]x + 3x + (3x + 6) = 62[/tex]

Solving for x,

[tex]x + 3x + 3x + 6 = 62\\7x = -6 + 62\\7x = 56\\x = 8[/tex]

But why is the second number 24?

[tex]3x = 24\\3(8) = 24\\24 = 24[/tex]

And why is the third number 30?

[tex]3x + 6 = 30\\24 + 6 = 30\\30 = 30[/tex]


Related Questions

Karl drove for 4 hours. For part of the trip he drove at 50 miles per hour. For the rest of the trip he drove at 100 miles per hour.

All together he drove 250 miles.

Solve this equation for h to find out how many hours he drove at 50 miles per hour.

250 = 50h + 100(4 - h)

Answers

Answer:

3 hours

Step-by-step explanation:

250 = 50h + 100(4 - h)

250 = 50h + 400 - 100h

250 = -50h + 400

-150 = -50h

h = 3

for the sequence defined by tn=3n+8 find each indicated term
a) t1 b)t7 c)t14

Answers

Answer:

a) 11      b) 29      c) 50

Step-by-step explanation:

tn=3n+8

(a) t(1) = 3(1) + 8 = 11

(b) t(7) = 3(7) + 8 = 29

(c) t(14) = 3(14) + 8 = 50

Math geometry 7th grade (20 points)

Answers

Answer:

semoga jawapan ini dapat membantu

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = -4

Step-by-step explanation:

-2(3x - 4) - x - 3 = 33

~Simplify

-6x + 8 - x - 3

-7x + 5 = 33

~Subtract 3 to both sides

-7x = 28

~Divide -7 to both sides

x = -4

Best of Luck!

Answer:

x = -4

Step-by-step explanation:

-2(3x - 4) - x - 3 = 33

solve the brackets first

-6x + 8 -x -3 = 33

-6x - x + 8 - 3 = 33

-7x + 5 = 33

-7x = 33-5

-7x = 28

x = 28/ -7

x = -4

What is 22/5 subtract 11/6​

Answers

Step-by-step explanation:the LCM of 5 and 6 should be taken which is 30 the 22 should be multiplied with 6 11 to be multiplied with 5 so by subtracting their product we get the result as 77/30

please mark me the brainliest

the basics of geometry

Answers

Answer:

go to MME click revise gcse maths and it would say geomatry foundtion  Step-by-step explanation:

Answer:

Step-by-step explanation:

point: the basic unit of geometry

line: it extends to 2 directions without any end

line Segment: it is a line but has end points eg the length of you book

(And there are a few types of lines like parallel lines and intersecting lines you can check that on You tube)

Rays: Rays are like line segments but has only 1 end point

curves: do i have to explain its just some squiggles

Polygons: polygons are shapes that are made up of straight line Segments

polygons are named based on the number of sides it has

3 sides: TRIANGLES

4 sides: QUADRILATERALS

5 sides: PENTAGONS

6sides : HEXAGONS and there are many more...

THERE WAY TOO MUCH LIKE ANGLES, INTEROR POINT, EXTEROR POINT, CIRCLES ETC sorry i can't explain that much......

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = -4

Step-by-step explanation:

[tex]-8x+3=-6x+11\\\\-2x+3=11\\\\-2x=8\\\\x=-4[/tex]

Answer:

x = -4

Step-by-step explanation:

-8x + 3 = -6x + 11

transpose

-8x +6x = 11 - 3

-2x = 8

x = 8/-2

x = -4

PL help meeeeeee!!! Im stuck

Answers

I believe its asking to label each ratio/fraction from least to greatest.
ANSWER: 1st,4th,3rd,2nd
Explanation: 1st one) 4/0.5=8
2nd)3/30=0.1
3rd)4.5/38=0.118
4th)2/15=0.133

f(x)=2x^2-5;find when f(x)=-7​

Answers

Answer:

x=i or no solution exists depending on the user's grade

Step-by-step explanation:

f(x) = 2x^2-5

-7 = 2x^2-5

-2 = 2x^2, x^2=-1, x=i

Answer:

±i = x

Step-by-step explanation:

f(x)=2x^2-5;

f(x)=-7​

-7 = 2x^2 -5

Add 5 to each side

-7+5 = 2x^2 -5+5

-2 =2x^2

Divide by 2

-2/2 =2x^2 /2

-1 = x^2

Take the square root of each side

sqrt(-1) = sqrt(x^2)

±i = x

Given the function f(x) = 4x+2, what is the value of f(3)?

Answers

Answer: f(3) = 14

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given function

f(x) = 4x + 2

Substitute value of the x into the expression

f(3) = 4(3) + 2

Simplify by multiplication

f(3) = 12 + 2

Simplify by addition

f(3) = [tex]\boxed{14}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The students must take part in at least one of the activities among the extra curricular activities in a school. Out of 40 students of a class, 25 students take part in debate and 30 students take part in quiz contest, then i. show the above information in a Venn diagram. ii. how many students have taken part in both activities? iii. how many students have taken part in only one activity?​

Answers

Answer:

Total number of students = 40Debate = 25 studentsQuiz contest = 30 students

i)

Sum of two parts:

25 + 30 = 55

Students taking part in both parts:

55 - 40 = 15

ii)

Debate only:

25 - 15 = 10

Quiz contest only:

30 - 15 = 15

Venn diagram will look like this:

10            15        15Debate - both - quiz contest

solve for x
8x = y
PLEASE HELPPPPPP

Answers

Hi ;-)

[tex]8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}[/tex]

I think it’s x= y/8
Have a nice day:)

the product of 9 and 4 more than x

Answers

Yes i hope u have a good day and get the answers correctly

Answer:

36-x

Step-by-step explanation:

Hi Monica

8x-4(x+8)=8. what's the answer, i need the work as well

Answers

Answer:

x=10

Step-by-step explanation:

8x-4x-32=8

4x=40

x=10

Answer:

x = 10

Step-by-step explanation:

8x-4(x+8)=8

8x - 4x - 32 = 8

4x - 32 = 8

4x = 40

x = 10

Write a proportion for the situation, and then solve.
1. A test is worth 36 total points, and you want to get an 87% on it. How many
points do you need to score?

Answers

I think it should be 31.32 points, but 32 if you’re not supposed to count partial points and it has to be a whole number.

in the diagram above length of Ps= length SQ , and angle SQR=112°​

Answers

Sorry you’ll need to repost this question with an image attached

HELP ASAP!!!

The line (y-1)=(2/3)(x+1) contains point (a,-3).

What is the value of a? Show
your work.​

Answers

[tex]\\ \sf\Rrightarrow y-1=\dfrac{2}{3}(x+1)[/tex]

[tex]\\ \sf\Rrightarrow -3-1=\dfrac{2}{3}(a+1)[/tex]

[tex]\\ \sf\Rrightarrow -4=\dfrac{-2(a+1)}{3}[/tex]

[tex]\\ \sf\Rrightarrow -2(a+1)=-4(3)[/tex]

[tex]\\ \sf\Rrightarrow -2(a+1)=-12[/tex]

[tex]\\ \sf\Rrightarrow a+1=\dfrac{-12}{-2}[/tex]

[tex]\\ \sf\Rrightarrow a+1=6[/tex]

[tex]\\ \sf\Rrightarrow a=6-1[/tex]

[tex]\\ \sf\Rrightarrow a=5[/tex]

evaluate the expression when y= -2 and z = -5
2z/y

Answers

Answer:

5 is the answer

Step-by-step explanation:

[tex] \frac{2 z}{y } \\ = \frac{2 \times ( - 5)}{ - 2} \\ = \frac{ - 10}{ - 2} \\ = 5 \: ans.[/tex]

when \(y = -2\) and \(z = -5\), the value of the expression \(2z/y\) is \(5\).

How to evaluate the expression when y= -2 and z = -5 2z/y

To evaluate the expression \(2z/y\) when \(y = -2\) and \(z = -5\), follow these steps:

1. Substitute the values of \(y\) and \(z\) into the expression:

\(2z/y = 2(-5) / (-2)\)

2. Perform the calculations:

\(2z/y = -10 / (-2) = 5\)

So, when \(y = -2\) and \(z = -5\), the value of the expression \(2z/y\) is \(5\).

Learn more about expression at https://brainly.com/question/723406

#SPJ3

Here is a `5`-by-`8` grid.



Create a design so that there are `3` times as many unshaded squares as there are shaded squares.

Answers

x = number of shaded squares

3x = number of unshaded squares

This is because there are 3 times as many unshaded squares compared to shaded

unshaded = 3*(shaded)

Since there are 5*8 = 40 squares overall, this means,

shaded+unshaded = 40

x+3x = 40

4x = 40

x = 40/4

x = 10

There are 10 shaded squares and 3x = 3*10 = 30 unshaded squares.

So you'll shade in 10 squares in any fashion you prefer.

88 Decigrams equals 8.8 what

Answers

Answer:

8.8 grams

...................

The required 88 Decigrams equals 8.8 grams.

Given that,
To determine 88 Decigrams equals 8.8.

What is standard measurement?

All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

here,
10 decigram = 1 gram
88 decigram = 8.8 gram

Thus, the required 88 Decigrams equals 8.8 grams.


Learn more about measurements here:

https://brainly.com/question/4725561

#SPJ2

what is the quotient of 5472 and 81?
Enter your answer by filling in the boxes.

[ ] R [ ]

Answers

Answer:

67

Step-by-step explanation:

Division:-

[tex]\sf\Large\qquad\quad67\\ \begin{array}{cc} \cline{2 - 2}\sf 81 )&\sf \ 5472\\&\sf -487 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 602\\ &\sf \ - 567 \\ \cline{2-2} & \sf \ \035 \\ \cline{2-2} \end{array}\\\\\\ Divisor \rightarrow 81 \\ \\ Quotient \rightarrow 67\\\\Remainder \rightarrow 35[/tex]

Answer:

[69] R [45}

Step-by-step explanation:

dont worry i got it right guys i did this bc i know there is people like me looking for the answer to this!

Ray's birthday is 8 more than four times the number of days away from today than Jane's birthday. If Ray's birthday is 24 days from today, how many days untill Jane's birthday?

Answers

Answer:

4 days

Step-by-step explanation:

Since it is 8 more than 4 times, take 24 because that is how many days away rays birthday is and subtract 8. So now we have 24-8 which is 16. Now divide 16 by 4 to get 4 which is how many days away janes birthday is. So the answer is 4 days.

Can someone please help me!

Answers

Answer:

1/6 is the fobability of a polygon

i believe the answer is 1/6?

7.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
Year
Estimated Population

0 91
1 70
2 54
3 42
4 32

A. quadratic; 0.77x2 + 91
B. exponential; y= 91 * 0.77x
C. linear; y= 0.77x + 91
D. quadratic; y= 91x2 + 0.77

Answers

Answer:

All I can say is that it isn't linear, as the number would then be the same every year

Answer:

B. exponential; y= 91 * 0.77x

Step-by-step explanation:

The Answer is A.

y=91*0.77^x

I just substituted the x on all of them and only one got the corrct y which is A.

hcf of x^2 + 2x - y^2 + 2y​

Answers

(x^2-y^2)+(2x+2y)= (x+y).(x-y) +2.(x+y) = (x+y).(x-y+2)

Answer:

[tex](x + y) \times (x - y + 2)[/tex]

Step-by-step explanation:

[tex]x^{2} + 2x - {y}^{2} + 2y[/tex]

➡️ [tex](x - y) \times (x + y) + 2(x + y)[/tex]

➡️ [tex](x + y) \times (x - y + 2)[/tex]

use the following list to find the average or mean, the median, the mode, and the range 10, 15, 5, 8, 6, 6, 2

Answers

Answer:

Mean - 7.43

Median - 6

Mode - 8

Range - 13

Step-by-step explanation:

To find the mean/average, add up all the numbers and divide the sum by the # of data points.  (ex. you have 7 numbers, so you divide the sum of the numbers by 7.)

The median of a set of data is the middle number of ascending numbers in the data.  If there was an even number of data points you would have to add the 2 middle numbers and divide by 2.

The mode is the number that appears most frequently in the data set.

To find the range, just subtract the lowest number in the data set from the greatest number.

Answer:

mean= 7.4, median = 6, mode =6, range = 13

Step-by-step explanation:

mean = 10 + 15 + 5 + 8 + 6 + 6 + 2 ÷ 7

= 52 ÷ 7

= 7.4

median= 2, 5, 6, 6, 8, 10 , 15

6

median is the middle number from ascending order

mode = 6

mode is the number that occurs the most

range = 15 - 2

13

range is the different between the largest and smallest number

Brainliest is appreciated

What is the answer to 2[5+2(8-6)]

Answers

Step-by-step explanation:

=2[5+2(8-6)]

=2[5+2(2)]

=2[5+4]

=2×9

=18

Answer: 18

Concept:

When encountering a question that needs to do operations with expressions, using the PEMDAS method will ease the process.

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

Solve:

Given

2 [5 + 2 (8 - 6)]

Simplify values in the parentheses

=2 [5 + 2 × 2]

Simplify with multiplication

=2 [5 + 4]

Simplify the parentheses

=2 × 9

=18

Hope this helps!! :)

Please let me know if you have any questions

please help 50 points.

Answers

Answer:

50° and 130°

Step-by-step explanation:

∠1 with 53° arc measure is vertical pair with 47° arc:

m∠1 = 1/2(53° + 47°) = 1/2(100°) = 50°

∠1 and ∠2 are forming a straight line:

m∠2 = 180° - 50° = 130°

53° and 47° angled arcs are vertical pairs

m<1=1/2(47+53)=50°

<1 and <2 are linear pair

m<2=180-50=130°

(15xy+30yz)/15y bhoomika sis answer​

Answers

Answer:

x + 2z

Step-by-step explanation:

[tex]\frac{15xy+30yz}{15y}[/tex] ← divide each term on the numerator by 15y

= [tex]\frac{15xy}{15y}[/tex] + [tex]\frac{30yz}{15y}[/tex]

= x + 2z

The circumference of a circular garden is 113.04 feet. What is the radius of the garden? Use 3.14 for pie and do not round your answer.

Answers

Answer:

18 ft

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

113.04 = 2 ( 3.14) * r

113.04 = 6.28 r

Divide each side by 6.28

113.04/6.28 = 6.28r/6.28

18 =r

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