A teacher is four times as old as a student. In 28 years, the student's age will be half of the teacher's age. How old are they now?
The age of the teacher is
years.
The age of the student is
years

Answers

Answer 1
Here, let the age of student be x and teacher be 4x after 28 years, the teacher is double the age of student. So the age of teacher will be 4x+28 and student will be 2(x+28)
So,
4x+28=2(x+28)
4x+28=2x+56
4x-2x=56-28
2x=28
x=14
Therefore the age of the teacher in present will be
=4x+28
=4*14+28
=84
And age of student will be:
=x+28
=14+28
=42
Hope this helps



Related Questions

Which figure shows a reflection of ​pre-image QRS​ over the line t?

I need help PLSSSSS 50 points!!!

Answers

Answer:

A, because its reflecting off of the y axis

Step-by-step explanation:

I have proof links, and I took the test

Tessellations

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)

a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)

Please select the best answer from the choices provided

Answers

Answer:

A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)

Step-by-step explanation:

I calculated it logically

Which graph represents exponential decay?
80
80
80
180
80
60
60
40
60
40
20
90
40
20
20
20
2.
2
3
3
2 3
e

Answers

Answer:

d

Step-by-step explanation:

Some one help will give brain

Answers

Answer:

what the link? didfbdsfaahsdfhsd

Step-by-step explanation:

Anthony cut a piece of metal that weighed 2,700 grams. Dionne cut a piece of metal that weighed 3,200 grams. How much heavier was Dionne’s piece, in kilograms?
A 0.5 C 50
B 5 D 500

Answers

Answer:

D: 500

Step-by-step explanation:

This is the answer because 3,200 - 2,700 = 500. Can I have a brainliest?

                                    XxRoadToAcexX

What is the measure of arc BC?

Answers

9514 1404 393

Answer:

  100°

Step-by-step explanation:

Arc BC is twice the measure of inscribed angle BEC, so is ...

  arc BC = 2×50°

  arc BC = 100°

Answer:

Step-by-step explanation:

The inscibed angle E is 1/2 the measure of the central angle P so P is 100 degrees, and arc BC is also 100 degrees.

14. The measure of Fis 110. The measure of 2E is 100°
What is the measure of D?
150°

Answers

According to given angles ,

Angle C=180- angle F (Linear pairs or st.line )

=70

Angle B = 180 - angle B (Same as above)

=80

Now

Angle D =Angle C + Angle B (Exterior angle property of a triangle)

=150°

Enjoy

Angle R and 92 are supplementary angles. What equation can you use to solve for R?
R+180=92
R+90=92
R+92=180
R+92=90
180+92=R

Answers

Answer:

Your answer is R+92=180

Step-by-step explanation:

Supplementary means angles that add up to 180, so R+92=180 has to be correct.

Answer: HURRY I need it quick and will give Brainliest Which value of x satisfies the equation StartFraction 12 over StartRoot x plus 2 EndRoot EndFraction plus 8 equals 10?

Answers

Answer:

D

Step-by-step explanation:

Identify the constant term in the expression:
2x + y + 3z + 5

Answers

Answer: 5

Step-by-step explanation:

Constants are numbers without a variable

Answer:

5 is constant term

Step-by-step explanation:

A constant term is a term in an algebraic expression that has a value that is constant or cannot change. It does not contain any modifiable variables. Hope it is helpful....

The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probability distribution. Because some occasional long service times will occur, the distribution tends to be skewed to the right. Suppose that the length of time required to run a 5000-mile check and to service an automobile has mean 1.4 hours and standard deviation .7 hour. Suppose also that the service department plans to service 50 automobiles per 8-hour day and that, in order to do so, it can spend a maximum average service time of only 1.6 hours per automobile. On what proportion of all workdays will the service department have to work overtime?

Answers

Solution :

Mean time for an automobile to run a 5000 mile check and service = 1.4 hours

Standard deviation = 0.7 hours

Maximum average service time = 1.6 hours for one automobile

The z - score for 1.6 hours = [tex]$\frac{1.6-1.4}{0.7 / \sqrt{50}}$[/tex]

                                           = 2.02

Now checking a normal curve table the percentage of z score over 2.02 is 0.0217

Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.

Similar Triangles

When are triangles considered similar?

a. corresponding angles are equal AND corresponding sides are proportional
b. corresponding angles are proportional AND corresponding sides are equal
c. corresponding angles are equal OR corresponding sides are proportional
d. corresponding angles are proportional OR corresponding sides are equal

Please select the best answer from the choices provided

Answers

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Step-by-step explanation:

I calculated it logically

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Which equation represents the data in this function table?


A. y = x - 8
B. x= y + 8
C. y = 3x
D. y = x + 3

Answers

Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .

The answer is not b

Step-by-step explanation:

Find the area of rectangle ABCD

Answers

Answer: 12

Step-by-step explanation:

You can find the area of a rectangle that forms around it, and then subtract the little extra triangles. You can form a 5 by 5 square around the points. There are 4 extra little triangles. Two of them have a base and height of 2 and 2. Two of them have a base and height of 3 and 3. So you get the total area of those 4 triangles to be: 2+2+4.5+4.5=13. So 25-13=12.

Which figure shows a reflection of ​pre-image QRS​ over the line t?

I need help PLSSSSS 50 points!!!

Answers

The first one, it is mirroring it and if you were to fold it in half it would be the same

Can someone help me?

Answers

Answer:

7. D) 61in

8. A) 57in

9. A) 47in

Step-by-step explanation:

The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.

7.

AB + BC + AC = 145

Substitute,

2x + 2x + 5 + x = 145

Simplify,

5x + 5 = 145

Inverse operations,

5x + 5 = 145

-5

5x = 140

/5

x = 28

Substitute,

AC = 2x + 5= 2(28) + 5 = 61

8.

AB + BC + AC = 135

Substitute,

2x + 2x + 5 + x = 135

Simplify,

5x + 5 = 135

Inverse operations,

5x + 5 = 135

-5

5x = 130

/5

x = 26

Substitute,

AC = 2x + 5 = 2(26) + 5 = 57

9.

AB + BC + AC = 122

Substitute,

x + 22 + 2x + x = 122

Simplify,

4x + 22 = 122

Inverse operations,

4x + 22 = 122

-22

4x = 100

/4

x = 25

Substitute,

AB = x + 22 = 25 + 22 = 47

Which of the following equations is a solution for 5745?
A. 45 = 5
B. x2 = 45
C.x = 45
D.NXS = 45

Answers

Answer:

c

Step-by-step explanation:

What is z if x = 25, u = 22, o= 6, and
n = 9?

A. -2.5
B. -1.5
C. 1.5
D. 2.5

Answers

Answer:

what's the equation????

jaslyyyyyyyyyy yus beans

Answers

Answer:

7/9

Step-by-step explanation:

21 / 27 = 3 * 7 / 3 * 9

= 7/9

Donnie is packing for a
camping trip. He plans to bring 2 pairs
of shorts and 4 t-shirts. How many
different outfit combinations can he
make?
(No links please :D)

Answers

Answer:

8

Step-by-step explanation:

4x2=8

Fitness can be measured by the rate of oxygen consumption during exercises with more fit people having higher rates. Unfortunately, this measurement is quite costly to obtain, and so an experiment was done to see if this measurement could be predicted from the time it takes (in minutes) to run 1500 m. The following computer output was obtained. Which of the following is NOT CORRECT?

a. For every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
b. The fitted regression line is approximately Y = 82.42(runtime)
c. A person who runs 1500 m in 10 minutes would have an estimated oxygen consumption rate of about 50.
d. There is good evidence that there is a relationship between oxygen consumption and the run time.
e. The slope is 82.42.

Answers

Answer:

b. The fitted regression line is approximately Y = 82.42(runtime)

Step-by-step explanation:

The regression line is Y=  aX + b

here b= 82.42   a = -3.31

Hence the regression equation is

Y= 82.42- 3.31 X

where x is the runtime and the slope  is given by b.

Option  a is correct because from the above equation we see that for every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.

Option b is incorrect because the runtime is not given by Y it is given by X.

Option C is correct  as  

Y= 82.42-3.31*10

Y= 82.42-33.1

Y= 49.32  almost 50

Option d is also correct that the equation line shows a relationship between oxygen consumption and the run time.

Option e is also correct because the slope is given by b and b= 82.42

what is a decimal in mathematics

Answers

Answer:

a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.

Step-by-step explanation:

len
2. Demetri wakes up at 9:15. It takes him
35 minutes to fold 4 loads of laundry,
35 minutes to bathe the dog, 45 minutes
to bake brownies, and 1 hour to mow the
lawn. After he finishes all of his chores,
he sits down to rest. What time does
Demetri rest?

Answers

Answer:

I think the answer is 11.20 am

Find the missing length indicated. Leave your answer as radicals in simplest form
Please help, no links

Answers

9514 1404 393

Answer:

  a = 4

  b = 2√3

Step-by-step explanation:

The side lengths of a 30°-60°-90° right triangle are in the ratio 1 : √3 : 2.

The shortest side in the given triangle is 2, so we can multiply by 2 to see the ratios are ...

  2 : 2√3 : 4 = 2 : b : a

  b = 2√3

  a = 4

What is the sum of 3 1/4 and 4 3/4 simplify answer

Answers

Answer:

8

Step-by-step explanation:

3  1/4

+4  3/4

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

7   4/4

But we know 4/4 = 1

7 +1

8

Answer:

8

Step-by-step explanation:

3 and 1/4 + 4 and 3/4 =

3+4+1/4 +3/4

= 3+4+4/4  because 4 fourths is one whole

=3+4+1 = 8

How many 1/3s are in 1 2/3?

Answers

Answer:

12

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3/3+2/3 = 5/3

Answer is 5

The table shows the test scores of students who studied for a teat as a group (group a) and students who studied individually (group b).

Which would be the best measures of center and variation to use to compare the data?

Answers

Answer:

https://rr.noordstar.me/83819a0f

Answer: B

Step-by-step explanation:

I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:

A - If it's skewed Mean wouldn't be used

C - If it's Symmetric IQR wouldn't be used

D - If it's skewed Standard Deviation wouldn't be used

Plz help me well mark brainliest if correct!....

Answers

Answer:

C

Step-by-step explanation:

B can immediately be eliminated because it has an area of 14.

A and C have an area of 10.

So add the sides.

C:

4 + 4 + 1 + 1 + 2 + 2 + 1 + 3

= 18

A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =

10 + 4 =

14

What is X + 9 < 5 =

Answers

Answer:

x<-4

Step-by-step explanation:

x+9<5

-9 -9

x<-4

1. subtract the 9 on both sides to have x alone

Help pls!Pls and ty!

Answers

Answer:

a

Step-by-step explanation:

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