Tames is six years older
than Peter and the average
of their ages is twice peter age.
How old are they

Answers

Answer 1

Answer:

3 and 9

Step-by-step explanation:

let Peter's age be x then James is x + 6

The average of their ages is twice Peter's age, that is

[tex]\frac{x+x+6}{2}[/tex] = 2x

[tex]\frac{2x+6}{2}[/tex] = 2x

x + 3 = 2x ( subtract x from both sides )

3 = x

Then Peter is 3 years old and James is x + 6 = 3 + 6 = 9 years old


Related Questions

How manys are in 1? The hexagon represents 1 whole. Explain or show your reasoning.​

Answers

Answer: True

Step-by-step explanation: The rhombuses represent 1/3. You have 4 rhombuses which are equal to 4 times 1/3. You would get the answer 1 and 1/3 because 4 times 1/3= 1 and 1/3

I need d and e and Pprly c because I guessed on c

Answers

Answer:

b. Slope: 125/2

Point-slope form:

y-400 = 125/2(x-8)

y = 125/2+392

e. 767 consumers

Step-by-step explanation:

b. The slope is 125/2

Point-slope form:

Slope: 125/2 and point (8,400)

y-y=m(x-x)

Point slope form:

y-400=125/2(x-8)

y = 125/2 x + 392

y = (125/2)(6) + 392

y = 767

12 4 + 2 X 3 Evaluate 2 O A) 11 OB) 13 OC) 20 OD) 27​

Answers

4 + 2 · 3² = 4 + 2 · 9 = 4 + 18 = 22

22 : 2 = 11

Answer → A)

Find the domain and range of the functions below

Answers

Step-by-step explanation:

So let classify each function.

38 is a quadratic because it has a leading variable raised to the 2nd degree.

Quadratics always accept all x values positive or negative so the domain

All Real Numbers, (- ♾,♾)

Quadratics lowest range is it vertex. The vertex of a typically quadratic is 0 because when we have the function

[tex] {x}^{2} [/tex]

we have no value after it so 0 is the lowest number.

However we have

[tex] {x}^{2} - 9[/tex]

So this means that our lowest value will be -9.

We include that point as well. The leading coeffceint is positive so it approach infinity so the range is

[-9,♾),

39 is a square root function because it has the square root symbol. Remeber that we can't take the square root of a negative number i.e( we can but it isn't graphable on a Cartesian plane). So this means x has to be greater than or equal to zero. We can take the square root of 0.

So set the equation inside the radical equal to zero.

[tex]x - 4 = 0[/tex]

[tex]x = 4[/tex]

So this means the domain is

[4,♾)

In a square root function, we restrict our domain to only positive number so the range is

[0,♾)

If 4/5 of the population of a certain town is
considered to be middle class and the population
of the town is 2,000, how many people are
considered middle class?

Answers

Hi! I'm happy to help!

Our town is composed of 2,000 people. Of those 2,000 people, 4/5 of them are middle class. The word 'of' usually means multiplication when it is in a word problem. So, we will multiply 2,000 by 4/5. When multiplying a whole number, we just multiply it by the numerator (top) and leave the denominator. (bottom)

2,000×4

8,000

8,000/5

Fractions are just a different way of putting division, so we can change this to a division problem:

8,000÷5=

1,600

1,600 of the people are middle class.

I hope this was helpful, keep learning! :D

PLEASE HELP!!! How does the multiplicity of a zero affect the graph of the polynomial function?

Answers

9514 1404 393

Answer:

2, 4, 61cross

Step-by-step explanation:

Consider a zero at x=1.

If it has multiplicity 1, the corresponding factor is (x -1). Now consider the sign of that factor for x = 1.1. The value is (1.1 -1) = 0.1, a positive number.

When the value of x is 0.9, the factor is (0.9 -1) = -0.1, a negative number.

This tells you that values to the left of a zero make the factor(s) associated with that zero be negative. For x-values to the right of the zero, the factor(s) will be positive.

If the multiplicity is even, the product of those factors is positive on either side of the zero. (A negative number to an even power is a positive number.) That is, the graph will not change sign from one side of an even-multiplicity factor to the other. At an odd-multiplicity factor, the graph changes sign.

__

For the problem at hand, the only even-multiplicity factor is (x -1), so the graph will not change sign at x=1. It will touch the axis (be tangent to the x-axis), but will not cross. The other zeros have odd multiplicity (1 or 3), so the graph will change sign there.

It is worthwhile to note that the higher the multiplicity, the "flatter" the graph is at the zero. You can see this in the attachment by comparing the shape of the graph at x=6 with the shape at x=2 (also an upward zero crossing).

_____

Additional comment

You may wonder why the curve is below the x-axis at x=1 when the product of the factors in that neighborhood is always positive. The reason is that there are an odd number of zeros to the right of x=1, so the product of those factors is negative.

Given y = x + 1 Calculate y if x = 3. y is a natural number​

Answers

Answer:

y = 4

Step-by-step explanation:

If 3 is x than you can substitute x for 3. y = 3 + 1. Then when you add  y = 4

y = x+1

y = 3+1

y= 4

that's how you solve it... Good luck

Last one I promise peeps

Answers

Answer:

Ello mate, the answer to your question/problem is "J"

Step-by-step explanation: Look at image provided below :)

Answer:

J

Step-by-step explanation:

8/9 equals 0.888... not 0.875

is -6.75 a whole number integer or rational number?

Answers

Answer:

I'm pretty sure it's rational.

Sorry if I'm wrong.

Graph the line that passes through the points (8,0) and (2,6) and determine the
equation of the line.

Answers

Answer:

y= -x+ 8

Step-by-step explanation:

on june 14 you make a mobile deposit of your paycheck which is for $1,235.18 what is the answer​

Answers

Answer:

wow i suck at math hope someone helps you out

Step-by-step explanation:

help just answer youll get 100 just answer all the questions

Answers

for the first question, you get 576

for the second one you get 0.1875

How do you verify this trig identity?

Answers

Step-by-step explanation:

[tex] \frac{ \sin(x) \csc(x) }{ \cot(x) } [/tex]

Rewrite csc(x) in terms of sin

[tex] \frac{ \sin(x) \frac{1}{ \sin(x) } }{ \cot(x) } [/tex]

Multiply the numerator. Notice that the factors in the numerator are reciprocal so they will factor out to 1.

[tex] \frac{1}{ \cot(x) } [/tex]

Notice that cotangent and tan are reciprocal so

[tex] \tan(x) = \tan(x) [/tex]

Answer:

Step-by-step explanation:

\frac{ \sin(x) \csc(x) }{ \cot(x) }

cot(x)

sin(x)csc(x)

Rewrite csc(x) in terms of sin

\frac{ \sin(x) \frac{1}{ \sin(x) } }{ \cot(x) }

cot(x)

sin(x)

sin(x)

1

Multiply the numerator. Notice that the factors in the numerator are reciprocal so they will factor out to 1.

\frac{1}{ \cot(x) }

cot(x)

1

Notice that cotangent and tan are reciprocal so

\tan(x) = \tan(x)tan(x)=tan(x)

Please Help!!
Find the slope of the line

Answers

Answer:

Slope = -3

Step-by-step explanation:

Answer:

Slope is -3

Step-by-step explanation:

Find two points on the graph where the line hits both corners of the graph first. ( The line has to go through a corner )

Two points on the graph: ( -2,6 ) and ( 2, -6 )

The first values are X-values ( -2, 2 ) It does left to right

The second values are Y-values ( 6,-6 ) It goes up and down

So to find the slope of a line you get two points and you do this formula

( y2-y1 ) / ( x2-x1 )

So that means

( -6 - 6 )

-------------     =   -12

( 2 - -2 )           -------

                         4

-12 / 4 = -3

   

Question 6
1 pts
Write the equation of a line through (-5,-5), parallel to y=
Oy=
- 1
O y=-x+4
O y=4x-1
O y=-x-1
Question 7
1 pts

Answers

Answer:

first one

[tex]y=\frac{4}{5}x-1[/tex]

Step-by-step explanation:

It's the same as the given function, just with a 1 unit shift downward.

the postage to mail a letter that weighs 0.4 o will cost $_? (type an integer or a decimal)

Answers

9514 1404 393

Answer:

  $0.42

Step-by-step explanation:

Look at the function definition to see which part applies when x = 0.4. It will be the first part, which is defined for 0 < x < 1. That part tells you the postage for 0.4 oz is $0.42.

(Calc 1) Need help understanding this graph pls I tried to do it but it was wrong

Answers

You have #1 and #2 switched up.
The x->2- says you’re coming towards 2 from numbers less than 2.
The x->2+ says you’re coming towards 2 from numbers greater than 2.
See the attached photo.

The other one is #5.
Since there is an open circle at (0,0), this says there really isn’t a point there. f(0) is undefined. (You might need to say DNE for the computer.)

What is 125% of 3600?

Answers

Answer:

4500

Step-by-step explanation:

3600 is 100 percent so divide it by 4 to get the 25% which is 900. add them together and you get 4500

[tex]125\% \: \: \: of \: \: \: 3600 \\ = \frac{125}{100} \times 3600 \\ = 125 \times 36 \\ = 4500[/tex]

The answer is 4500.

Please help me!!!!!!

Answers

The answer is A

Step-by-step explanation:

hope it helps!!

Answer:

A

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

Step-by-step explanation:

The measure of an angle is 44 degrees. What is the measure of its complementary angle?

Answers

Answer:

I think the measure of its complementary angle is 46 because 44 + 46 = 90 and a complementary angle should equal 90 degrees.

Step-by-step explanation:

PLS HELPP ITS URGENT

Find the missing angle and name the other three given angle.

PQR=___

Name:___________
________________
________________

Answers

Answer:

Step-by-step explanation:

The angles between the parallel sides add up to 180 degrees.

So 180-70 = 110 degrees.

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Let,

The unknown angle measure be x°.

We know that,

Sum of all angles of a Quadrilateral measures 360°.

So,

⇒∠QPR + ∠PSR + ∠SRQ + ∠RQP = 360°

120° + 60° + 70° + x° = 360°

180° + 70° + x° = 360°

250° + x° = 360°

x° = 360° - 250°

⇒ x° = 110°

Therefore, the names of the angles & their values will be,

∠QPR = 120°

∠PSR = 60°

⇒∠SRQ = 70°

⇒∠RQP = 110°

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

What is the expanded form of 25,900

Answers

20,000 + 5,000 + 900 is 25,900 in expanded form

Sue collected 98 empty cans to recycle, and Jean collected 82 cans. They packed an equal number of cans into each of three boxes to take to the recycling center. How many cans were in each box?
whit operation pls

Answers

Answer:

125

Step-by-step explanation:

may i have brainliest

Answer:

60 cans. 98 + 82 = 180. 180/3 = 60. hope this helps

Step-by-step explanation:

- Zombie

last this help me to find answer ​

Answers

Step-by-step explanation:

mark me as brainliest ❤️

Evaluate the expression x²+yz for x=-3, y=5, and z=2

Answers

Answer:

I think that the answer is 19.

Step-by-step explanation:

Writing out the problem

x²+yz

Substituting the given values of the variables

(-3)²+(5)(2)

Simplifying (-3)², which is 9

9+(5)(2)

5 times 2 equals 10

9+10

19

I hope this helped you. Enjoy your day, and take care :)

What had the biggest effect on the earths orbit about the sun , explain.

Answers

Answer:

The Earth's orbit makes a circle around the sun. At the same time the earth orbits around the sun, it also spins. In science, we cal that rotating on its axis. Since the earth orbits the sun AND rotates on its axis at the same time we experience seasons, day and night, and changing shadows throughout the day.

There are five questions listed below. Each question includes the quantity 43. Match the 43 in each question on the left to
which part of the problem it represents on the right -- the base, percent, or amount. Some answer options on the right will
be used more than once.

Answers

Answer:

Step-by-step explanation:

What number is 15% of 43?

6.45, or 6 if u round to the nearest whole number

43% of 300 is what number?

129

12% of what number is 43?

359

43 is what percent of 106?

40.6% or 41% when rounded

What percent of 43 is 6?

14%

The answers of questions which includes the quantity 43 is 6.45 ,  129 , 5.16 , 40.56 % and 13.95%  respectively .

What is percentage?

The symbol (%) is used to denote percentage. Similarly, percentage is sometimes denoted by an abbreviation 'pct. ' For example, we can express 50 percent as 50% or 50 pct. Percentages are written inform whole numbers, fractions or decimals. For example, 4%, 75%, 0.6%, 0.25%, 3/5% etc.

According to the question

Each question includes the quantity 43 .

A. Number that is 15% of 43 :

15% of 43

= [tex]\frac{15}{100} * 43[/tex]

= 6.45

B. 43% of 300 is what number

43% of 300

= [tex]\frac{43}{100} * 300[/tex]

= 43 * 3

= 129

C. 12% of what number is 43?

12% of 43

= [tex]\frac{12}{100} * 43[/tex]

= 5.16

D. 43 is what percent of 106?

Let percent be x

i.e

106 * x% = 43

[tex]1.06x = 43[/tex]

x = 40.56%

E. What percent of 43 is 6?

Let percent be x

i.e

43 * x% = 6

0.43x = 6

x = 13.95 %

Hence, The answers of questions which includes the quantity 43 is 6.45 ,  129 , 5.16 , 40.56 % and 13.95%  respectively .

To know more about percentage here:

https://brainly.com/question/24159063

#SPJ2

What is the value of x?



Enter your answer in the box.

Answers

Answer:

angels on a triangle = 180°

so you add 75 and 50 which gives you 125 then u take away that by 180 to find x (Just the process)

and that's your answer

55(the sum of measure of all amgles in a triangle is 180)

Which of the following are rational numbers? Select three that apply.

Answers

Answer:

[tex] \sqrt{4} \sqrt{8} \sqrt{1} [/tex]

Step-by-step explanation:

it is because those are even number

Two three and four are the correct answers :)

Please help me with this problem thank you

Answers

9514 1404 393

Answer:

  a) slope = -765 jobs per year

  b) j = -765y +1582855 . . . . jobs in year y

  c) 38,320 jobs in 2019

Step-by-step explanation:

a) We can define the variables y and j to represent the year number and the number of jobs, respectively. Then we are given 2 points:

  (y, j) = (2012, 43675) and (2017, 39850)

The slope of the relation is ...

  m = Δj/Δy = (39850 -43675)/(2017 -2012) = -3825/5 = -765

__

b) Using the point-slope form of the equation of a line, we can model the relation between years and jobs as ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

For m = -765 and (h, k) = (2012, 43675), the model gives ...

  j -43675 = -765(y -2012)

  j = -765y +1582855 . . . . . . . rearrange to slope-intercept form

__

c) For y = 2019, the number of jobs is modeled to be ...

  j = -765(2019) +1582855 = -1544535 +1582855

  j = 38,320 . . . . . jobs in 2019

_____

Additional comment

Quite often for problems of this sort, we let the time variable represent "years after <some reference year>". Here, it would be convenient to use 2012 as the reference year. The the equation would be j = -765y +43675, and the "j-intercept" would have the sensible value of 43675 at "year 0" (or 2012).

The equation we show is technically correct, but has no meaning for year values less than 2012. Especially, we know for sure there were not 1.6 million jobs in information in Indiana at the beginning of the Common Era. Indiana didn't exist until 1816.

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