A father is 51 years old and his son is 19. How many years ago was the father 5 times his son's age? ​

Answers

Answer 1

Answer:

x=11

Step-by-step explanation:

51-x-5*19= -5x

51-5*19= -4x

4x=5*19-51

4x=95-51

4x=44

x=11

Answer 2

Step-by-step explanation:

let x year ago son age was 5 time his father age.

age of son before x year = 19-x

age of father before x year = 51-x

NOW

according to the question

5(19-x) =51-x

95-5x =51-x

95-51 = -X-5x

44 = 4x

x=11

so your ans is 11years ago


Related Questions

is x = 12 a solution to the equation 6 + x = 19

Answers

Answer:

Incorrect.

Step-by-step explanation:

6 + x = 19

Plug in when x = 12

6 + 12 = 19

18 = 19

It is incorrect, so 12 is not a solution.

Answer:

It is not a solution

Step-by-step explanation:

6 + x = 19

Substitute into the equation and see if it is true

6+12 = 19

18 =19

This is not true so it is not a solution

Beverly fpund a magic bean. If she puts it in the soil , every single day it will grow 4 cm. After how many days will it be 14.56 meters tall

Answers

Answer:

364 days

Step-by-step explanation:

Magic bean will take 364 days to grow 14.56 m tall.

What is Unit Conversion?

A conversion factor exists as a ratio that expresses how many of one unit stand equal to another unit. For example, there exist 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on.

Unit conversion exists as a multi-step procedure that involves multiplication or division by a numerical factor, choosing the accurate number of significant digits, and rounding.

First we need to convert the height in m into cm.

14.56 m=14.56*100=1456 cm

If it grows 4 cm in one day then:

It will take 1456/4=364 days (a year) to grow completely.

To know more about unit conversion refer:

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Fifteen hundred randomly selected South Carolina kindergarten students were observed on the first day of school

Answers

Answer: See explanation

Step-by-step explanation:

The question isn't complete. Here is the completed question that I got online.

Fifteen hundred (1500) randomly selected South Carolina kindergarten

students were observed on the first day of school to determine if they knew how to tie a shoe. Using this information, please identify the following: Population:

Sample:

Variable:

Sample Size:

Sample Space:

The variable is: (qualitative/quantitative)

If 40% of the observed students knew how to tie their shoes, how many of the 58,135 kindergarten students in SC can we expect to know how to tie their shoes?

Sample: The sample is 1500.

Variable: This is the number of students who know how to tie their shoes.

Sample Size: 1500

Sample Space: The total number of students in South Carolina kindergarten

The variable is quantitative since they're counted.

If 40% of the observed students knew how to tie their shoes, therefore the number from the 58,135 kindergarten students in SC that can be expected to know how to tie their shoes will be:

= 40% × 58135

= 0.4 × 58315

= 23254

On a map, two mountains are 5 7/8 inches apart. If 1/2 of an inch on the map represents 80 miles, then how many miles apart

Answers

Answer:

235 miles

Step-by-step explanation:

80(5 7/8÷ 2)

If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =

Answers

Using the intersecting chord theorem:

a x b = c x d

x+21 * 4 = x+3 * 10

Simplify:

4x+84 = 10x+30

Subtract 30 from both sides:

4x + 54 = 10x

Subtract 4x from both sides:

54 = 6x

Divide both sides by 6:

x = 9

Answer:

x=9

Step-by-step explanation:

(segment piece) x (segment piece) =   (segment piece) x (segment piece)

ab = cd

(x+21) *4 = (x+3)*10

Distribute

4x+84=10x+30

Subtract 4x from each side

84 = 10x-4x+30

84 = 6x+30

Subtract 30 from each side

54 = 6x

Divide by 6

54/6 = 6x/6

9=x

CKPenny is selling 50 coats. Each coat with a hood have 5 buttons and each coat without a hood have 10 buttons. If there are 400 buttons among all the coats, how many coats don't have hoods?

Answers

Answer:

40 coats don't have hoods

What are the root(s) of the quadratic equation whose related function is graphed below?

Answers

Answer:

0 and 4

Step-by-step explanation:

roots are where the graph intersects at x axis

The roots of the quadratic equation whose related function is graphed are 0 and 4, the correct option is C.

What is the quadratic equation?

A quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

If b2 – 4ac > 0 roots are real and different. As the discriminant is >0 then the square root of it will not be imaginary. It has two cases.

If b2 – 4ac is a perfect square then roots are rational. As the discriminant is a perfect square, so we will have an integer as a square root of the discriminant. Hence, the roots are rational numbers.

The shape of the graph is a downward parabola on the positive x-axis therefore the roots of the graph are positive.

From the given option the roots of the equation are 0 and 4 both are positive.

Hence, the roots of the quadratic equation whose related function is graphed are 0 and 4.

Learn more about quadratic equations here;

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Nêu định nghĩa số hữu tỉ? Nêu quy tắc cộng, trừ, nhân ,chia số hữu tỉ?

Answers

số hữu tỉ là các số x có thể biểu diễn dưới dạng phân số [tex]\frac{a}{b}[/tex]  trong đó a và b là các số nguyên với b {\displaystyle \neq }\neq  0.[1] Tập hợp số hữu tỉ ký hiệu là {\displaystyle \mathbb {Q} }{\displaystyle \mathbb {Q} }.[2]

Step-by-step explanat

ion:

Answer:

Step-by-step explanation:

John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks.

Answers

Answer:

Not exactly sure what the question is but John would have to pay 180 to be in the class, he does not have enough for the class right now.

In the figure. PQ = PR and AQSR = 90°. Write the name of an isosceles triangle and a right angled triangle.​

Answers

Answer:

see explanation

Step-by-step explanation:

Since PQ = PR , that is congruent legs of the triangle, then

Δ PQR is isosceles

Since ∠ QSR = 90° , then

Δ QSR is right angled

Which is a desirable characteristic when choosing a line of credit?
a. rewards program
b. annual fee
c. amount of down payment
d. amount of collateral

Answers

Answer:

Rewards program

Step-by-step explanation:

A line of credit is a predetermined quantity of money that somehow a bank lends to a person and is issued by a financial company. Reward programme: Reward program's internet shopping centre goods were exchanged and point can redeem for items using Reward program's internet shopping mall points.

Answer:

A. rewards

Step-by-step explanation:

5sinA=4, find the value of tanA.​

Answers

Answer: tan A=4/3

Step-by-step explanation:

Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5

Áp dụng định lí py ta go ta đc:

5^2=4^2+x^2

=) x=3

Vậy cạnh kề của góc A=3

Mà tanA = cạnh đối/cạnh kề

Vậy giá trị của tanA=4/3

(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)

Please help out explanation need it

Answers

Answer:

156m^2

Step-by-step explanation:

I dont know what you mean by "each figure," but if you need the surface area for the rectangular prism, then the answer is 156, because the top square has a surface area of 3*6, then it equals 18, and the bottom square is the same, so it is also 18, 18*2=36

The 4 rectangle on the side are all the same, and they are all 10x3 which is 30, so 30*4 because there are 4 rectangles, equals 120.

120+36=156. The surface area of the rectangle is 156m^2

Help me please, asap

Answers

Answer:

k = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

X| 1    2   5   10   30

Y| 3    6   15 30   90

which of the following inequalities represents all values of x for which the quotient below is defined? sqrt 21(x-1) divided by sqrt 7x²
A. x < -1
B. x > -1
C. x < 1
D. x > 1

Answers

Answer:

the answer to your question is D

Select the expression that represents the following statement: find the sum of 6 and 14 and divide by 4.


a (6 + 14) ÷ 4

b 14 ÷ 4 + 6

c 4 x 4 – 6

d 14 x 6 ÷ 4

Answers

I believe it’s A not sure tho

Answer:

A

Step-by-step explanation:

Find the rare of change for the situations , You run 7 miles in one hour and 14 miles in two hours

Answers

The rate of change is 7 because its 7 miles per hour

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $23 monthly fee and charges an additional $0.11 for each minute of calls. The second plan has no monthly fee but charges $0.15 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answers

Answer:

575 minutes

Step-by-step explanation:

this is  a systems of equations problem

2 plans, 2 equations

Scenario 1:

$23 is a mandatory fee, 11 cents per minute

x=23+0.11m (x= total cost, m= minutes called)

Scenario 2:

There is no mandatory fee, but there is a higer 15 cents per minute

x=0.15m (y=total cost, m=minutes called)

Set them equal to each other because you want to know when they become equal

23+0.11m=0.15m

23=0.04m

m=575

Answer:

Plan 1: 65 minutes, Plan 2: 201 minutes

Step-by-step explanation:

Not sure if this is the answer that you need but here is the math that i did..

Plan 1: $23 + $0.11/min

$0.11 x 65 minutes will give you a total of $7.15 + the inital $23 = $30.15

Plan 2: $0 + $0.15/min

$0.15 × 201 minutes will give you a total of $30.15

I hope this helps!

Can u help solve this

Answers

Answer:

2

Step-by-step explanation:

slope = rise/run

rise = difference in y

run = difference in x

slope = (8 - 2)/(3 - 0)

slope = 6/3

slope = 2

Answer:

Slope = 2

Step-by-step explanation:

Use the Slope-Formula to find the slope

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

Points: (0, 2) (3, 8) where the first point is x1 & y1 and the second point is x2 & y2.

m = (8 - 2)/(3 - 0)

m = 6/3

m = 2

The slope will be 2

1. Write three different solutions of 4x - 2y = 8.​ plzz answer fast

Answers

Answer:

y=-4+2x

x=(4+y)/2

2x-y=4

i)x=1
4(1)-2y=8
-2y=8-4
-2y=4
y=-2

ii)x=2
4(2)-2y=8
8-2y=8
y=0

iii)x=3
4(3)-2y=8
12-2y=8
2y=12-8
2y=4
y=2

Hope it helps!

PQRS is a parallelogram. Answer the questions below.

Answers

Answer:

4. SR= 17 (opposite angle of parallogram are equal)

Function expressed by the formula y=-0.5x. Is there a value of x for which
y=-150? If there is such a value, compute it.

Answers

Answer:

x=300

Step-by-step explanation:

STEPS FOR SOLVING LINEAR EQUATION

−150=−0.5x

Divide both sides by −0.5.

−0.5

−150

=x

Expand  

−0.5

−150

 by multiplying both numerator and the denominator by 10.

−5

−1500

=x

Divide −1500 by −5 to get 300.

300=x

Swap sides so that all variable terms are on the left hand side.

x=300

Hope this helped!

PLEASE! I need Help. 50 POINTS!!

Answers

Answer:

-5^ 5

Step-by-step explanation:

-5^7 ÷ -5^2

We know that a^b ÷ a^c = a^ (b-c)

-5^(7 - 2)

-5^ 5

Answer:

C

Step-by-step explanation:

subtract exponents

Which point has the coordinates (-3.5, 7)?​

Answers

Answer:

Q

Step-by-step explanation:

The coordinates are ( x,y)

negative 3.5 goes 3.5 units to the left

7 goes 7 units up

Answer:

Q

Step-by-step explanation:

The x coordinates is - 3.5 so we go left to - 3 and half way to 4 to get 0.5

the Y coordinates is 7, so we go up the Y axis to 7. We can then see that Q is located there

Help me answer this, Thank you

Answers

Answer:

Step-by-step explanation:

rotate it in a full circle

If x and y vary inversely . When x = 4 and y = 2x , what is the value of y when x = 16 ?

Answers

the value of y is thirty-two (32)

1. Find the sum of csc230° and cot2 45°.​

Answers

Answer:

5

Step-by-step explanation:

Based on the given conditions, formulate

Evaluate the expression:

Calculate the power:

Calculate the first two terms:

Answer:

If ∠AFB and ∠DFE are congruent, what term describes ∠BFE and ∠AFD?

Answers

Answer:

If you add a picture I can help

Step-by-step explanation:

I need to see what the figure looks like

Help! Pls I’m struggling

Answers

Answer:

the x^2 column would have a "22" between the 4 & 5

Step-by-step explanation:

x x^2

0 0

1 1

2 4

3 9

4 16

5 25

6 36

Answer:

Step-by-step explanation:

√22

-number 22 is between what two perfect squares?

4² =16 <  22 < 5² =25

therefore the result is a number between 4 and 5

-you can use a calculator to check your answer √22 ≈4.7

3. The volume of a cube is 216 cm'. What is the length of one side?
O 6 cm
6 cm3
72 cm
O 72 cm

Answers

Answer:

6 cm

Step-by-step explanation:

6 cm×6cm×6cm=216 cm³

6cm should be the answer
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