A. 48
B. 44
C. 52
D. 40

6. The sum of the ages of a father and his son is 74. Four years ago the
father's age was twice as old as his son. How old is the father now?​

Answers

Answer 1

Answer:

A (48)

Step-by-step explanation:

let the father's age = x and his son's age = y

according to the question,

the sum of their ages is 74

×+y=74......equation 1

four years ago (i.e x-4 & y-4) father's age was twice as old as his son

x-4=2(y-4)

or, x-4=2y-8

x-2y=-4.......equation 2

now, in equation 1

x+y=74

hence,

x=74-y

substituting the values in equation 2

x-2y=-4

(74-y)-2y=-4

74-y-2y=-4

74-3y=-4

74+4=3y

3y=78

y=78/3

y=26

Hence the kid is 26 years old

x+y=74

x+26=74

x=74-26

x=48

Hence the dad is 48 years old

Answer 2

Answer:

The correct answer is: Option A: 48

Step-by-step explanation:

Let x be the present age of father and y be the present age of son

Given that

"The sum of the ages of a father and his son is 74"

[tex]x+y = 74\ \ \ Eqn\ 1[/tex]

Now

x-4 will be the age of father 4 years ago

y-4 will be the age of son 4 years ago

The equation will be:

[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]

From equation 1:

[tex]x = 74-y[/tex]

Putting in equation 2

[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]

Put y = 26 in equation 1

[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]

The father is 48 years old now.

Hence,

The correct answer is: Option A: 48


Related Questions

HELPPP!!!!!!

Tiana and Vince are practicing their typing skills in computer science class. They both typed the same number of words, but Tiana took less time. They are participating in a typing competition next week. In the competition, they will have the same amount of time to type. Who will likely type more words during the competition?

Answers

Answer:

tiana

Step-by-step explanation:

because she took less time in the practise

Answer:

Tiana

Step-by-step explanation:

It is Tiana because she took less time while practicing.

Help me with this plz

Answers

Answer:

0.000032, 0.0000064

Step-by-step explanation:

Each is divided by 5

Answer:

0.00032 and 0.00064

Step-by-step explanation:

Think, each is divided by 5!

0.1, 0.02, 0.0004, 0.00008, 0.00016, 0.00032, 0.00064.

Posted By:

ehie, BenjiDev#3339

Mia buys 50 coats at $28 each she sells 38 of these coats at$49 each she sells the rest of the coats at$40 each find the overall percentage profit mia has made on these coats

Answers

Answer:

67.28 %

Step-by-step explanation:

Given that:

Price at which the coats are bought = $28

Number of coats bought = 50

Total money spent on buying the coats = 50 [tex]\times[/tex] 28 = $1400

Number of coats sold at $49 each = 38

Money earned by selling 38 coats at $49 each = $1862

Number of coats left = 50 - 38 = 12

Money earned by selling 12 coats at $40 each = $480

Total money earned = $1862 + $480 = $2342

To find:

The overall profit percentage made by Mia ?

Solution:

Formula for Profit percentage:

[tex]Profit\% = \dfrac{Sales\ Price - Cost\ Price}{Cost\ Price}\times 100\\\Rightarrow Profit\% = \dfrac{2342 - 1400}{1400}\times 100\\\Rightarrow Profit\%=\dfrac{942}{1400}\times 100\\\Rightarrow Profit\%=67.28\%[/tex]

Therefore, overall percentage profit made by Mia by selling the coats= 67.28 %

SOS!! Please help, I have no idea what I'm doing smh

Answers

Answer:

slope of st is -0.25

slope of tu is 1

slope of us is -0.25

slope of sv is 1 so it is a parallelogram. the slope of the parallel lines needs to be the same to be a parallelogram. to find the slope, you need to find the change from the points of the referenced line, for example, slope of st you would label each point as x1, y1 and x2,y2. it does not matter which one you label and you can change them for each different line. you would then find the difference by subtracting (y2-y1) divided by (x2-x1) so 4-3=1 and 1-5 is -4. you then divide 1/-4 is -0.25. you the follow the steps for each line. is the parallel lines have the same slope, it is a parallelogram

cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.

A. 2,857.60

B. 38,577.60

C. 1,428.80

D. 5,715.20

Answers

Answer:

$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.

Step-by-step explanation:

Please help I needa finish this

Answers

Answer:

i think its d

Step-by-step explanation:

if you look up quadrilaterals you find shapes like rectangles, squares, and diamonds. if you look up parallelograms you find the same thing, so i think it's d. sorry if im wrong i havent done this stuff in a while

Answer:

I am sure the answer is C, if not I'm very sorry

Which is the graph of the linear equation 3x + 2y = 6?

Answers

Answer:

I think it would have to be the last one please tell me if i am right

Step-by-step explanation:

Answer:

It's the graph in the middle, just did it on edge

Step-by-step explanation:

What is the fraction that is halfway between 1/3 and 3/2

Answers

Answer:

11/12

Explanation:

1/3 + 3/2 = 11/6

11/6 x 1/2 (average is halfway) = 11/12

Answer:

-1/12.

Step-by-step explanation:

One way to do this is as follows

Answer = (3/2 + 1/3) / 2

= (9/6 + 2/6) / 2

= 11/6 / 2

= 11/12.

Rewrite y+3=−(x−5) in standard form .

Answers

Answer:

x + y = 2

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y + 3 = - (x - 5) ← distribute

y + 3 = - x + 5 ( subtract 3 from both sides )

y = - x + 2 ( add x to both sides )

x + y = 2 ← in standard form

Which ratio is equal to 27:817 OA 1:9 OB. 2:9 Oc. 3:9 OD. 3:27 O E 9:12​

Answers

Answer:

54 : 1634

Step-by-step explanation:

Do Anybody know this ?

Answers

Answer:

R= 30-9t.... I think

Step-by-step explanation:




Naomi has earned $135 mowing lawns the past two days. She worked 5 1/2 hours yesterday and 5 3/4 hours
today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to
mow lawns?

Answers

Naomi record total of 11 1/4 hours so I convert the hours to decimal form for easier easier division 11.25. divide 135 by 11.25 and get $12 an hour

Subtract
-b + 3 from – 116 – 4

Answers

Answer:

-123-b

Step-by-step explanation:

-116-4-(b+3)

-123-b

Can anybody answer these 2 please hurry

Answers

Answer:

the first one is b= 52

the second one is b= 63

Simplify this equation:
-4(c+2d)-2(3c-4d)

Answers

-10c
hope this helped !!!

Answer:

-10c

Step-by-step explanation:

-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)

Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.

(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d

Evaluate like terms.

-4c-8d-6c+8d = -10c

Ted sells cleaning supplies. He earns a monthly salary of $850.00, plus commission. He earns 5% commission on the first $10,000 in sales, and 7% commission on any sales over $10,000. If he sold $14,000 worth of supplies this month, how much will his pay be this month?

Answers

Answer:

$1830

Step-by-step explanation:

Step one:

Ted's monthly salary =$850.00

since he made sales over $10,000. that is he sold supplies worth $14,000

his commission will be 7% of $14,000

=7/100*$14,000

=0.07*$14,000

=$980

Required

His total earnings

Step two:

Hence his total earnings is, his monthly salary  plus 7% commission of  supplies worth $14,000

=$850.00+$980.00

=$1830

Add.
92 +53
Enter the correct answer in the box.

Answers

Answer:

145

Step-by-step explanation:

HELP. car takes 10 hour and 30 minutes from A to B point. how many hours will it take for car if it's speed increases 1.2 times?
(distance doesn't change)

Answers

9514 1404 393

Answer:

  8 3/4 hours

Step-by-step explanation:

Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:

  (10.5 h)/1.2 = 8.75 h

It will take 8.75 hours at the increased speed.

(x+5)(x-2) Expand and simpliy

Answers

Step-by-step explanation:

x(x-2) +5(x-2)

x² -2x + 5x -10

x² + 3x - 10

Answer:

the answer is x^2 + 3x - 10 I guess!

Step-by-step explanation:

This is an algebraic equation so-

There are 130 people in a sport centre. 61 people use the gym.

68 people use the swimming pool.

60 people use the track.

25 people use the gym and the pool.

30 people use the pool and the track.

19 people use the gym and the track.

6 people use all three facilities.

Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Step-by-step explanation:

Number of people who uses the gym and the track, and also uses the pool = Number of people who use all 3 facilities = 6. (given)

Number of people who uses the gym and the track, and may or may not use the pool = 19. (given)

Therefore number of people who use the gym and track, but do not use the pool = 19 - 6 = 13.

Probability = (13/19) * 100% = 68.4%.

There are 16 circles and 12 squares. What is the simplest ratio of squares to circle

Answers

Answer:

4:3

Step-by-step explanation:

divide each by 4

Those two please I really need help

Answers

Answer:

Horizontal flat lines have a slope of 0, and the other one is negative correlation because if you make an imaginary line through that it would have negative slope

the first one is B because the line is not going up or down so the slope is 0
the second one is C because the points do not form any type of straight line so it can’t form any negative or positive correlation

$2,300 invested at 7.5% for 10 years. In simple interest

Answers

Answer:

here's the answers............

A sequence of digits has the property that each pair of successive digits, taken in the order written, forms a decimal numeral representing a multiple of either 1717 or 2323. If the first digit is 99 and the sequence is finite, what is its last (possible) digit

Answers

Answer:

Concept: Mathematical Sequences

Let An be 99 a double digit multiple The sequence is finite. Finite= restricted and not bounded to positive infinity By that logic the last possible digit is 999999999999999999999999999999999999999999999

Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?

Answers

Answer:

Total possibilities = 16

Probability of a dime of the first draw is 10/16 = 5/8

Probability of a penny on the second draw = 1/15

Probability of both = 5/8 * 1/15 = 1/24

There are 130 people in a sport centre.

61 people use the gym.

68 people use the swimming pool.

60 people use the track.

25 people use the gym and the pool.

30 people use the pool and the track.

19 people use the gym and the track.

6 people use all three facilities.

Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

What percent of the rectangle below is shaded (hint think about the fraction or ratio of
shaded to total)?
33%
40%
67%
25%

Answers

it is 33% i believe (it won’t let me send right so here’s some random words because it has to be 20 characters long)
the answer is a. 33%

What is the correct answer?

Answers

Answer:46

Step-by-step explanation:

The correct answer is 46

PLEASE ANSWER FAST I NEED HELPPP

Answers

The first answer is “B” and the second one is “D”. Attached below is my work.
I hoped this helped!! ^w^

Even if you don’t think it is an independent variable, _____ is usually always plotted on the “x” axis.


Help?

Answers

Answer:

Y axis is dependent

Step-by-step explanation:

and x axis is independent, so if its on the x axis, its alwasy a independent variable, hope it helped Lol

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