a man is 3 times as old as his son. the sum of their ages is 48 years, how old is the son?

Answers

Answer 1

Let the sons age = x

The dads age would be 3x ( 3 times the sons age)

X + 3x = 48

Simplify:

4x = 48

Divide both sides by 4

X = 12

The sons age is 12


Related Questions

Help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Slope of a line perpendicular to y=4x+3 is −14 .

Step-by-step explanation:

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

If you need the graph here it is

helppppppppppppppppppppppppppppppppp

Answers

Answer:

You want to find how much it cost for 1kg of potatoes, which in this case is .45 cents. After that you want to multiply the price of 1kg by 50, to get your cost for 50 kg of potatoes, which would be $22.50 I hope this helps! :)

Answer:

$22.50

Step-by-step explanation:

If one. again is 10k and it costs 4.50, then you would do 4.50 multiplied by 5 because each 10k is 4.50 and thier is 50 in total so 5 bags of 4.50 meaning 4.5x5 which would get you $22.50

HEY THERE!! CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+43 POINTS
-solve the equation
[tex] \frac{1}{x} + \frac{1}{3x} = 4[/tex]
(pls have your answer as a fraction in its simplest form)

Thanks xx)​

Answers

[tex]\displaystyle \frac{1}{x} +\frac{1}{3x} =4 \ \ ; \ \ x\neq 0 \\\\\\ \frac{3+1}{3x} =4 \\\\\\12x=4 \\\\ \boxed{x=\frac{1}{3} }[/tex]

PLEASE PLEASE HELP ILL MARK BRAINLIEST!!!!

Answers

Answer:

done this before

Step-by-step explanation:

cant see full picture but of what i know of is he spent 35 dollars on apples for his shop...?

Answer: 3x+5y=$33

X+y=9

Step-by-step explanation: X= number of pounds of apples y= number of ponds of oranges.


Express the equation In y = 5 in exponential form.
TIMED HELP PLEASE

Answers

Answer:

log

2

(

y

)

=

5

2

5

=

y

y

=

32

Step-by-step explanation:

60% of a mussems fossils are from the jurassic period if the number of fossils from the jurassic period is 15 what is the total of number of fossils ate the musuem ?

Answers

The total number of fossils at the museum are, 25

A concert venue can hold up to 2,400 people. 50 tickets are automatically reserved for radio stations to give out. When tickets go on sale for a Coldplay concert, 30 tickets are sold every minute. Which inequality below represents times in minutes , m, before the concert is sold out?

Answers

The tickets will be sold out in 78.333 minutes

willie's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10 adult tickets and 4 student tickets for a total of $194. The school took in $182 on the second day selling 7 adult tickets and 7 student tickets. What is the price each one adult ticket and one student ticket? ​

Answers

Adult tickets - $15

Student tickets - $11

First day:

10 tickets * $15 = $150

4 tickets * $11 = $44

Total: $194

Second day:

7 tickets * $15 = $105

7 tickets * $11 = $77

Total: $182

pls help fast no randoms

Answers

Answer:

A, D, E

Step-by-step explanation:

Those are your surds because when you square root them they stay in the radical

Answer:

hla shougi

Step-by-step explanation:

Someobe pleaseeee help I need it​

Answers

Answer:

its 35

Step-by-step explanation:

hi Help pls will mark as brainlist!!!!!!!!!​

Answers

Answer:

-1/10

Step-by-step explanation:

-7/24 by the reciprocal of 35/12

The reciproical of 35/12 is 12/35

-7/24 * 12/35

Rewriting

-7/35 * 12/24

-1/5 * 1/2

-1/10

75.3325 round to the tenth

Answers

75.3 the first 3 [.3] is the tens place and since the number after it [3] isn’t higher the 5 you round down making it 75.3
75.3

the first 3 is in the tenths place, the second 3 is in the hundredths place, the 2 is in the thousandths place, and the 5 is in the ten thousandths place.

now since you know that the 3 is in the tenths place you have to look at the number in the hundredths place so you know what to round it to. since the number in the hundredths place is below 5, it stays the same. if it were a 5 or above, that 3 would be rounded to a 4 making the answer 75.4, but since it’s a 3, the answer stays 75.3

Please help me out!!!!!

Answers

Answer:

D. 9

Step-by-step explanation:

9 is the degree of polynomial

Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r

Answers

Answer:

[tex]v = \frac{rk}{2} + h[/tex]

Step-by-step explanation:

Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:

Start by multiplying both sides by k:

[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]

rk = 2(v - h)

Divide both sides by 2:

[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]

[tex]\frac{rk}{2} = v - h[/tex]

Add h to both sides to isolate v :

[tex]\frac{rk}{2} + h = v - h + h[/tex]

[tex]\frac{rk}{2} + h = v[/tex]

Todd is buying material to fence his new garden. He buys 2 strands of barbed wire and a post for every 3m of fence. Each post costs 300 dollars and barbed wire costs 20 dollars per meter. What is the shape of the largest area Todd can enclose if he spends 3000 dollars on fence material? Show your work.​

Answers

fence material 268 is your answer..

Omar wants to open an account for his grandchildren that he hopes will have
$80,000 in it after 20 years. How much must he deposit now into an account
that yields 1.75% interest, compounded monthly, so he can be assured of
reaching his goal?

Answers

Using compound interest, it is found that he must deposit $56,389.

Compound interest:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

In this problem:

Hopes to have $80,000 in 20 years, thus [tex]t = 20, A(t) = 80000[/tex].Interest rate of 1.75%, thus [tex]r = 0.0175[/tex].Compounding monthly, thus [tex]n = 12[/tex]The investment is of P, for which we have to solve.

Then:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]80000 = P(1 + \frac{0.0175}{12})^{12(20)}[/tex]

[tex]P = \frac{80000}{(1 + \frac{0.0175}{12})^{12(20)}}[/tex]

[tex]P = 56389[/tex]

He must deposit $56,389.

A similar problem is given at https://brainly.com/question/25263233

Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
no pic ANSWER IT

Answers

Answer:

12?

Step-by-step explanation:

Answer:The Answer is 10!!!

Step-by-step explanation:

If you plot (1,4) and (-5,-4) on a graph, you can see that you can form a right triangle.

you would count the values on the X-axis and on the Y-axis. The values are 6 and 8 respectively.

You put the values on the second power and add them. So the equation would be 6^2 + 8^2. The answer would be 100.  Because the Pythagorean Theorem is a^2 + b^2= c^2, you would square root would be 10. The distance between the two points is 10.

pls help me i don’t get this at all

Answers

Step-by-step explanation:

oh, come on ! you don't understand what ordered pairs or point coordinates stands for ?

it is simple, the first number is the x value, and the second number is the y value.

so, all we need to do here is to take every pair, put their values in the places of x and y in the inequality, and see if it is true with these specific values or not.

if yes, then that pair is a solution.

(6, -33)

-33 >= -8×6 +7

-33 >= -48 + 7

-33 >= -41 true, -33 is indeed bigger than -41

in the same way as -1 is bigger than -2.

(-1, 12)

12 >= -8×-1 + 7

12 >= 8 + 7

12 >= 15 false

(8, -65)

-65 >= -8×8 + 7

-65 >= -64 + 7

-65 >= -57 false

(2, -1)

-1 >= -8×2 + 7

-1 >= -16 + 7

-1 >= -9 true, -1 is bigger than -9

(-6, 47)

47 >= -8×-6 + 7

47 >= 48 + 7

47 >= 55 false

what would be the answer to this problem [tex]\frac{7x-3}{9} \geq 8-2x[/tex]

Answers

Answer:

[tex]x\geq 3[/tex]

Step-by-step explanation:

so I'm not sure how to draw a square with the area of 3 units

Answers

The area of a square is width x height where both the width and height is the same length because a square has the same lengths on all four sides.

So we can say “3 = L x L” where L is any side length of the square

L times L is just simplified to L squared: “3 = L^2”

We can take the square root of both sides to get rid of the L squared. We are left with “the square root of 3 equals L”.
Sqrt(3) = L

And on a calculator the square root of 3 is 1.73205080757.

1.73205080757 = L.

The square is 4 lines in a box each with the length of 1.73205080757 units.

plsss help me with this:(((​

Answers

Answer:

[tex] \frac{2 {a}^{2} }{3 {b}^{3} } \div \frac{6 {a}^{3} }{5 {b}^{2} } = \frac{2 {a}^{2} }{3 {b}^{3} } \times \frac{5 {b}^{2} }{6 {a}^{3} } = \frac{5}{9ab} \\ \\ \frac{ {x}^{2} - 5x + 6}{ {x}^{2} - 6x + 9} + \frac{4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - 5x + 6 + 4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - x - 6}{{x}^{2} - 6x + 9} \\ = \frac{(x - 3)(x + 2)}{(x - 3)(x - 3)} \\ = \frac{(x + 2)}{(x - 3)} \\ \\ \frac{3a}{a - b} - \frac{a + 2b}{a - b} \\ = \frac{3a - a + 2b}{a - b} \\ = \frac{2a - 2b}{a - b} \\ = 2\frac{a - b}{a - b} \\ = 2[/tex]

[tex]8mx^{2}nx^{4}[/tex]

Answers

Step-by-step explanation:

You have $7,000 in your savings account gaining 4% interest per year. If you don't replace the $800 in the savings account

A popular laptop sells for $199.99. Since sales are so
good, the store raises the price by 13%. What is the cost
of the laptop after the markup?

Answers

Answer:

I believe the price after the markup would be $225.99, I hope this helps! :)

Answer:

Step-by-step explanation:

Increase % = 13%

[tex]New \ Cost = \dfrac{100+raise \ percent}{100}*199.99\\\\=\dfrac{113}{100}*199.99\\\\= 225.98\\[/tex]

A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment-grade bonds at 8%, how much should she invest in each?

Answers

Answer:

$50,000 at 8%; $150,000 at 6%

Step-by-step explanation:

$50,000 x .08 = $4000

$150,000 x .06 = $9000

$4000 + $9000 = $13,000

Can anyone help me with this?

Answers

Answer:

x = 42 degrees

y = 37 degrees

Step-by-step explanation:

Those are right angle triangles. So you know the right angles are 90 degrees, and each triangle gives you the measurement of another angle.

So, take the triangle in the top left (x):

180 - 90 - 48 = x

Same with the other triangle (y)

180 - 90 - 53 = y

Use the remainder theorem to determine whether x=-4 is a solution of
[tex] {x}^{6} + {5x}^{5} + {5x}^{4} + {5x}^{3} + {2x}^{2} - 10x - 8[/tex]

Answers

Answer:

The remainder is zero. Then x = –4 is a solution of the given equation.

Hello haohaoxNienie!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

Refer to the attached picture.

Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.

Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Solve for x, y and z ( help ♡ )

Answers

Ans of your question . in which class do u read?


How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that
the remaining solution contains 5% juice?
Fill in the table:
What is the amount of juice in the original solution? a =
What is the original amount of solution in gallons? b =
How much juice is added? c =
How much total solution is added? d =
Original
Added
New
Amount of juico
a
Total solution

Answers

Answer:

A = 1.5, B = 10, C = 0, D = 20

Step-by-step explanation:

A = 10 * 15% = 1.5

b = 10

c = 0

(10 + x) * 5% = 1.5

0.5 + 0.05x = 1.5

0.05x = 1

x = 20

(assume 'x' is added solution)

d = 20

Answer: A. 1.5 B. 10 C. 0 D. X

Ski rental is $45 for 3 hours and $10 for each additional hour. You pay $75. How many additional hours did you pay

Answers

Answer:3

Step-by-step explanation:Its really easy?

Name the property that is illustrated.
1 x 3/4 = 3/4

Answers

Answer:

Associative Property of Addition

Identity Property of Multiplication
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