The sum of ages of father amd his son is 60 years. After 14 years, father's age will be three times the age of his son. Find their present ages.​

Answers

Answer 1

Answer:

Father age= 52 years

Son age =8 years

Step-by-step explanation:

Given:

⇒ Sum of ages of father and his son = 60 years

⇒ After 14 years - father's age will be 3 times the age of his Son

⇒ Find their present ages

Solution:

According to the given,

The total = 60

Father age = "x " ( unknown)

Son age = 60 - x

In additionally,

Father age = ( x + 14 ) years

Son age = ( 60 - x + 14 )

= ( 74 - x ) years

Setting up the problem:

x + 14 = 3 ( 74 - x )

Removing parentheses:

x + 14 = 3 × 74 - x

Multiply:

x + 14 = 222 - 3x

variable on one side and the other on other side:

x + 3x = 222 - 14

Add/Subtract:

4x = 208

Divide:

4x/4 = 208/4

x = 52

Hence, at present:

Father age = 52

Son age = 60 - 52

→ 8

As a result,

Their present ages:

Father = 52

Son = 8

Kavinsky~

#Learnwithbrainly


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Answer:

0.1125

Step-by-step explanation:

1.35 divided by 12 = 0.1125

Answer:

$0.11 per egg

Step-by-step explanation:

unit cost means how much each one costs

there are 12 eggs in a dozen

so all you have to do is divide $1.35 by 12

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but money is only counted by the hundredths place so we have to round

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James needs to buy shirts for his business. Company C charges customers a one-time $50 printing fee plus $10 for every shirt. Company D charges a one-time $20 printing fee plus $15 for every shirt. Which inequality can be used to find s, the minimum number of shirts that can be purchased so that the total charge at Company C is less than the total charge at Company D? 50s+10>20s+15 50s+10 20+15s

Answers

Answer:

50 + 10s > 20 + 15s

Step-by-step explanation:

This is the answer because if James pays for 1 shirt from company C he would be paying $60, but if he were to pay for 1 shirt at company D he would be paying $35. So that's why its >. Anyway, the s goes on the second number because that's the price for every shirt, And the first number is by itself because its a one-time printing fee.

Round 8,531.75 to the nearest 10.

Answers

Answer:

8,530

Step-by-step explanation:

8,531.75 rounds to 8,531 which rounds down to 8,530

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Jenny is getting some snacks for her road trip.Her total for her items is $36.84.If the sales tax is 4%,how much is her total cost?

Answers

I’m not to sure but I think the answer would be $38.31 . Hope this helped .

Question 1
The model shows 156 jelly beans divided equally among three
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Answers

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52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

I WILL PICK BRAINLIST

Answers

Step-by-step explanation:

C.

π/9 is less than sqrt(9) / 3 which is 1. Also, this question is quite ambiguous, and the answer could be none, because sqrt(9)/3 can also be -1

Please help me!! thank you!​

Answers

Answer: 27

Step by Step Explanation:
First, put the variables in and make sure to put them into parentheses;
4(3)-3(5)+2(3)(5) and multiply;
12-15+30 now use PEMDAS which since it's using only addition and subtraction you go from left to right;
12-15=-3 then add 30 to -3=27

Wendy thinks the perfect chocolate chip cookie has 353535 chocolate chips for every 555 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100100100 chocolate chips and 151515 ounces of dough.
What will Wendy think about Cookie Club's cookies?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
They are too chocolatey.

(Choice B)
B
They are not chocolatey enough.

(Choice C)
C
They are just right.

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Answer:

I would go with A.......

Answer:

i would go with B i got it from Khan

Step-by-step explanation:

PLEASE HELP FAST Rewrite
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Answers

Answer:

it's C. :)) u wanna explanation??

PLEASE HELP!!!


I don't understand how to work this out...
if possible, please explain how you got your answer. It would be very helpful.

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Answers

9514 1404 393

Answer:

  17.3%

Step-by-step explanation:

The rate of return is the net profit divided by the purchase price.

The purchase price was ...

  (20 share) × ($30/share) = $600

The net proceeds from the sale were ...

  proceeds = selling price - commission

  = $710 -$6 = $704

So, the net profit is ...

  profit = $704 -600 = $104

And the rate of return is ...

  profit / investment = $104/$600 = 17.3%

The graph of a linear function is shown.
Which word describes the slope
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O positive
• negative
• zero
• undefined

Answers

Answer:

C. zero

Step-by-step explanation:

The slope of horizontal line is always 0

p + 12 > 9
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B. p > 3
C. p > –21
D. p > –3

Answers

Answer:

D. p>-3

Step-by-step explanation:

step1

move 12 to the other side

p>9-12

when you move it changes it's sign from positive to negative

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MATH PROBLEMS 2 PLS HELPPPP HOPE NOT TO SMALL BUT TRY THE ZOOM THAT MIGHT MAKE IT MORE VISIBLE

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Answer:

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Step-by-step explanation:

A cyclist rode 4.75 miles in 0.3 hours.
a. How fast was she going in miles per
hour?

Answers

Answer: He is goiung 15.83 miles per hour or 15 miles per hour.

Step-by-step explanation:

Just divide 4.75 by 0.3

ection 1
If Frances can paint of a wall in 20 minutes, how long will it take her to paint a room with 4 walls?
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100 minutes
400 minutes
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Answers

60 minutes is how long it will take her , because she has four walls 20•4 is 60

can someone also help me with this please and thankss

Answers

Answer: The measure of angle 3 is 50 degrees.

Step-by-step explanation:

We know that angle 2 is 130 degrees.

Angle 1 and angle 2 are verticle angles which means that they are across and equal to each other.

So angle 1 and angle 2 are 130 degrees.

Add up both angle 1 and angle 2, 130 + 130 = 260.

Now, all of these angles add up to be 360 degrees in total as they make a circle and there are 360 degrees in one.

Subtract 260 from 360, 360 - 260 = 100.

Since both angle 3 and angle 4 are also verticle angles we need to split the 100 degrees evenly, 100 ÷ 2 = 50.

So, angle 3 is 50 degrees.

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Answers

Answer:

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0
9 1

Answers

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Answers

Answer:

The first one is A or -11. The second one is A too.

Step-by-step explanation:

If you solve the first one for h you get the answer. If you plug in the numbers from the second question you get the answer.

Answer:

#19:

[tex]5(h + 2) = -3(4 - h)\\\\5h + 10 = -12 + 3h\\\\2h + 10 = -12\\\\2h = -22\\\\h = -11[/tex]

The answer is A. -11.

#20:

We will use the following formula for this question:

Point-slope form: y - y₁ = m(x - x₁)

In this form,

m = slope(x₁, y₁) = a point on the line

Knowing this, we can conclude that the answer is D. y + 3 = -3/4(x + 2).

Nancy's morning routine involves getting dressed, eating breakfast, making her bed, and driving to work. Nancy spends ⅓ of the total time in the morning getting dressed, 10 minutes eating breakfast, 5 minutes making her bed, and the remaining time driving to work. If Nancy spends 35 ½ minutes getting dressed, eating breakfast, and making her bed, how long is her drive to work?

Answers

Answer: 26 minutes

Step-by-step explanation:

Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.

Time getting dressed = ¹/₃x

Eating breakfast = 10 mins

Making bed = 5 mins

¹/₃x + 10 + 5 = 35 ½

¹/₃x + 15 = 35 ½

¹/₃x = 35 ½ - 15

¹/₃x = 20 ½

x = 20 ½ / ¹/₃

= 61.5 minutes

Total morning routine is is 61.5 mins

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= 61.5 - 35 ½

= 26 minutes

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Answers

Answer:

3r and 33

Step-by-step explanation:

3r and 33
Correct answer

If triangle ABC is similar to triangle DEF, what is the value of x?




12 cm

36 cm

15 cm

5 cm

Answers

Answer:

           x = 15 cm

Step-by-step explanation:

If triangle ABC is similar to triangle DEF, then:

                                                                    [tex]\dfrac{AC}{DF}=\dfrac{BC}{EF}[/tex]

Therefore:

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Answers

Answer:

3

Step-by-step explanation:

1/3x + 5, x = -6

1/3(-6) + 5

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Answers

Answer:

The solution is x = 8.

Step-by-step explanation:

Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (1, 5).

Answers

Answer:

4x-y+1=0

Step-by-step explanation:

here,given equation of a line id

4x-y-2=0.. eqn(i)

equation of any line parallel to line (i) is

4x-y+k=0...eqn(ii)

since, the line(ii) passes through (1,5)[replacing x=1 and y=5 in eqn(ii), we get]

4*1-5+k=0

or, 4-5+k=0

or,-1+k=0

•°•k=1

substituting the value of k=1 in eqn(ii),

4x-y+1=0 is the required equation of the line.

What makes a problem a two-step equation?
A) The problem has two answers
B) The problem has three operations
C) The problem has two operations
D) The problem has two questions

Answers

C. Because a two step equation is a two part problem, not two separate questions

Answer:

C) The problem has two operations

Step-by-step explanation:

Sasha has $850 to deposit into two accounts.

Sasha will deposit $450 at First Oak Bank.

She will deposit the rest at River Point Bank.

Sasha will not make additional deposits or withdrawals.
How much more money will be in her account at First Oak Bank than at River Point after 2 years?

Answers

Since in Interest is not stated there will be no interest.This equation can be expressed as:
850=450+x
850-450=x
400=x
Sasha deposits $400 at River Point bank.
She will have $50 more in First oak bank (without interest).

Amount in First Oak Bank is $87.84 than at River Point after 2 years.

What is Simple Interest and Compound Interest?

Simple interest is the interest obtained over the principal amount on a certain rate.

Compound interest is the amount of interest which is calculated on the principal amount as well as the amount accumulated over the previous period.

First oak bank is simple with 6% interest.

Final amount in simple interest, A = P(1 + rt), where P is the principal amount , r is the interest rate and t is the number of years.

A = 450 (1 + (0.06 × 2)) = $504

River point bank is 2% compounded annually

Final amount in compound interest, A = P(1 + r/n)^(nt), where, P is the principal amount, r is the interest rate, t is the number of years and n is the number of times interest compounded annually.

P = 850 - 450 = 400

n = 1, since compounding is only 1 time in a year

A = 400(1 + 0.02)² = $416.16

Amount which is more in First oak is $504 - $416.16 = $87.84

Hence the amount more in the First oak account is $87.84.

Learn more about Simple and Compound Interest here :

https://brainly.com/question/22621039

#SPJ2

The complete question is given below.

Let z=1+i where i^2=-1.calculate z^2 z^3 z^4

Answers

Answer:

[tex]0[/tex]

Step-by-step explanation:

[tex]i^2=-1[/tex]

[tex]i=-1[/tex]

Subsite i in for z

[tex]z=1+-1[/tex]

Add [tex]-1[/tex] to both sides

[tex]z=0[/tex]

Anything multiplied by 0 is just 0.

ANSWER FAST PLEASE!

Ms. Barcht Open a savings account with $50 and deposit $25 every week. Mrs. Greene save $75 every week. How many weeks will Mrs. Greene have more money in her account than ms. Bracht?

A. 25x+75>50

B. 75x=25x+50

C. 75x>25x+50

D. 75x<25x+50

Answers

Answer:

C

Step-by-step explanation:

Ms. Barcht's savings account can be modeled with the expression

50 + 25x

Mrs. Greene's savings account can be modeled with the expression

75x

Since the question is how many weeks Mrs. Greene will have more money than Ms. Bracht. we use an inequality to contain the all the solutions.

Mrs.Greene > Ms. Bracht

75x > 25x + 50

Answer:

The answer would be C. 75x>25x+50

Step-by-step explanation:

The answer would be C. because Ms. Barcht started with $50 and deposits $25 every week while Mrs. Greene saves $75 a week. 7 days is a week so lets multiply $25 x 2 (2 weeks). Ms. Barcht would have $100 by the end of 2 weeks and Mrs. Greene would have $150 by the end of 2 weeks because $75x2 is $150

Hope this helps.

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