The present age of the father and his son is 32 years and 7 years respectively.
7
Find how many years ago the product of their age was 116.
product of the present age of their ​

Answers

Answer 1

Answer:

ok so im so confused but like you know i tried and i got this:

X years ago, the father’s age and the son’s age would be (32 - x) and (7 - x) years old.

(32 - x)(7 - x) = 116

(x - 32)(x - 7) = 116

x^2 - 39x + 224 = 116

x^2 - 39x + 108 = 0

(x - 3)(x - 36) = 0

x = 3, 36

But (32 - x) > 0, so x does not equal to 36.

x = 3

3 years ago, the father would be 29 years old, and the son 4 years old.

i know it sounds crazy but i think its wrong lol


Related Questions

If two angle measurements are 53° and 70,° what must the third angle measurement equal to form a triangle?

Answers

Answer:

Step-by-step explanation:

All triangles without exception, have 180 degrees.

x + 53 + 70 = 180                Add the left

x + 123 = 180                       Subtract 123 from both sides.

x + 123 - 123 = 180 - `123    Combine.

x = 57  

The sum of the measures of the three angles of the triangle is 180*

35* + 45* + z = 180*

80* + z = 180*

z = 180* + z = 180* − 80* = 100*


= 100*



8 star fruit cost $16. How many star fruit can you buy for $8?

Answers

Answer:

you can buy 4  star fruit

Step-by-step explanation:

All it is , is subtraction half of 8 is 4 and half of 16 is 8

A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag

Answers

Answer:

0.59998

Step-by-step explanation:

Number of keys = 3

Number of coins = 7

Total = 10

Number of items taken out = 2

Expected number of keys taken out:

Let x = Number of keys taken out

X = 0

1st pick = 7/10

2nd pick = 6/9

7/10 * 6/9 = 0.46666

X = 1

(7/10 * 3/9) + (3/10 * 7/9) = 0.46666

X = 2

(3/10 * 2/9) = 0.066666

X : ____ 0 ______ 1 _______ 2

P(X): _0.46666__0.46666 _0.06666

Expected value :

(0*0.46666) + (1*0.46666) + (2*0.06666)

= 0.59998

If f(x) = 2x + 1 then f(3)=

Answers

Answer:

f(3)=7

Step-by-step explanation:

just plug in the number

f(3)=2×3+1

=7


4. An expression is shown.
4x106
2x 102
Write an equivalent expression in scientific notation.
x 10

Answers

Answer:

Step-by-step explanation:

The simplest way to do this is to break in into parts

2 * 4 = 810^6 * 10^2 = 10^8 Notice that when you multiply base 10 powers, you add the powers. That's the  key to scientific notation.

When you combine these two you get 8 * 10^8

Complete the function table.​

Answers

Answer:

There is no function table

Answer:i don't see the table cos

Step-by-step explanation:

Write in quadratic form
f(x)=(x+2)^2

Answers

The quadratic is f(x)=x^2+4x+4

Plz help.............

Answers

75 ft^2 mark brainly pls xo

Answer:

75 ft

Step-by-step explanation:

10 * 6 = 60

1/2 * 6 * 5 = 15

60 + 15 = 75 ft

Emily is pushing a toy sand truck. She realizes it is much harder to push the truck when it is full of sand than when it is empty. What is the reason for this?

Answers

Answer:

I think it's because an object with a greater mass requires a smaller force to accelerate.

Answer:

An object with a greater mass requires a greater force to accelerate.

Step-by-step explanation:

Latisha purchased a pair of jeans for $35. She had a 10% off coupon. How much was the discount? She had to pay 7% sales tax. What was her final price for the jeans?

Answers

Answer:

$33.95

Step-by-step explanation:

35*10%=3.5

35*7%=2.45

35-3.5=32.5

32.5+2.45=33.95

The length of the 135˚ arc below is 15/4 π. Find the radius of the circle. Please explain the answer.

Answers

Answer:

The radius of the arc is 5

Step-by-step explanation:

An arc is a part of the circumference of a circle that has been cut out. It can be best understood as an incomplete circle. The length of the arc is how long the arc is.

The formula relating how long the arc is with its radius is

length of arc = [tex]\frac{\theta}{360} \times 2 \pi R[/tex]

where R is the radius we are looking for.

Θ = 135 which can be seen as the arc angle

[tex]R =\frac{l \times 360}{\theta \times 2 \pi} =\frac{(15 \pi /4) \times 360 }{135 \times 2 \pi}=5[/tex]

The radius of the arc = 5

drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge when flat. Find the height of the suspension point of the chain, to the nearest tenth of a meter, and the measures of the acute angles the chain makes with the wall and the drawbridge, to the nearest degree.


Answers

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]

[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]

[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]

[tex]b=4.0187...[/tex]

[tex]b=4.0 m[/tex]

Now, we can use the Law of Cosines to figure out one of the acute angles:

[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]

[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]

[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]

[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]

[tex]C=39.3915...[/tex]

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

A business analyst is investigating whether the mean amount of purchases made by customers at an online department store is greater than $100. The analyst obtained a random sample of 56 orders and calculated a sample mean of $102.30 and a sample standard deviation of $5.30.
Which of the following is an appropriate test for the investigation?

Answers

Answer:

B

Step-by-step explanation:

I don't know

An appropriate test for the investigation is, One sample t-test for sample mean. So option B is correct

What is a random sample ?

The process of selecting a sample of data from a population in order to draw conclusions about the population is known as random sampling. Additionally known as probability sampling. Non-probability sampling, often known as non-random sampling, is this sample's opposite. Simple random sampling, stratified sampling, cluster sampling, and multistage sampling are the main forms of this sampling. Convenience samples are often referred to as non-arbitrary samples in sampling methodologies.

Given that,

Population mean = $100

Sample = n = 56

Sample mean =  $102.30

sample standard deviation = $5.30

So, all the data mean, standard deviation is given

therefore, t-test used and one type of sample used as well

Hence, It is one-sample t-test for sample mean

To know more random sample check:

https://brainly.com/question/29852583

#SPJ6

Is 0.3 greater than 0.09

Answers

Answer:

Yes, because 9 is in the hundreths place and 3 is in the tenths

Step-by-step explanation:

Answer:

Step-by-step explanation:

no because 0.3 is the same as 3/10 and 0.9 is the same as 9/10 wich is greater

Find the area of a triangle with a base of 10 inches and a height of 5 inches

Answers

Answer:

area = 25 in^2

Step-by-step explanation:

area = 1/2(10)(5) = 25 in^2

Answer:

The height is 4 inches.

For a triangle, we have Area = 1/2 base times height.

With a = area, b = base and h = height,

we have:

A=1/2bh

We are told that A=10 square inches and b=5 inches, so we need to solve (find h ) for:

10=1/2(5)h

We can get rid of the fraction by multiplying by 2 on both sides:

20=5h

Now divide noth sides by 5 (or multiply by 1/5 , to get

20/5=5h/5 so 4=h

The height is 4 inches.

Step-by-step explanation:

Hope it is helpful....

HELP ME PLEASE!!! I NEED HELP!​

Answers

For the whole numbers:

24

26

23

25

21

46

63

57

75

91

1. 24 and 23.8

2. 26 and 25.7

3. 23 and 22.8

4. 25 and 24.8

5. 21 and 20.9

6. 46 and 46.3

7. 64 and 63.7

8. 56 and 56.5

9. 75 and 74.6

10. 91 and 90.7

When rounding, whether it's a whole number or a decimal, you would round up if the number next to it is 5 and up. You wouldn't change the number next to it if it's below 5.

If you have any further question, please reach out to me :)

Which expression is equivalent to 4a+2b
A.a+a+a+a+b+b
B. 4+2+a+b
C.6(a+b)
D.4+a x 2+b

Answers

Answer:

Answer is A

Step-by-step explanation:

a+a+a+a+b+b =4a+2b

The answer is a
A hope that helps you

The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k
I need the answers ASAP please!

Answers

Answer:

k = 3 or k = -4

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

[tex]2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4[/tex]

3*3*3*3= 81 is an example of ___

Exponential form

Standard form

Expanded form

Slope-intercept form

Answers

Answer:

expanded I believe or the first one good luck

It is an example of Exponential form

hi hi hi hi hi help help help help

Answers

Answer:

rate

Step-by-step explanation:

r(t)=d

r=d/t

r=miles/hour=mph

r=12

Answer: I THINK it’s d

Step-by-step explanation:

simplify the following
a) 5(3a - 45
b) 4(a + 2b - 1

Answers

Step-by-step explanation:

I hope that is useful for you :)

1/2x+4=20 solve for x.. Help?

Answers

Answer: 32

Step-by-step explanation: ok so here is what i do for those I grab a caculator (desmos online caculator i like to use but not required) then ill do (1/2×x)+4 but then once i write that i go back to the x delete the x and keep putting random numbers in higher and higher by one till the i get the answer (example: for this one i wrote that than i removed the x in it and did 1/2×5+4 then when that did not equal 20 i turned the 5 into a 6 then 6 was wrong so 7, then 8, then i just skipped to 20 then 20 was still wrong so skipped to 30, 30 was also wrong but CLOSE so then i tried 31 then 32 till the answer was 20 and when i did 32 it did say 20) hopes this helps

Answer: x=32

Step-by-step explanation:

1/2x+4=20

      -4   -4

1/2x=16

Multiply by 1/2 on each side

x=32

you need to answer A and B!!! PLEASE HELP

Answers

Answer:

13x+14

Step-by-step explanation:

because the original equation would be 5x(2)+3x+7(2) simplified would be 13x+14

Someone plz help me giving brainliest

Answers

Answer:

13/20

Step-by-step explanation:

Add up all the hours and then subtract by the total hours given.

What is 3 x 4t when it’s simplify


Answers

Answer: 12t

3 x 4t = 12t

divide 600 in the ratio 2: 3: 4​

Answers

Answer:

133.33, 200, 266.66

Step-by-step explanation:

GIven data

This is a ratio problem, and we will use the part to all method to get the solution

The given ratio is

= 2: 3: 4​

the total ratio

=2+3+4

=9

Hence the first part is

2/9= x/600

cross multiply

9x= 1200

x= 1200/9

x= 133.33

The second part

3/9=x/600

1/3=x/600

3x=600

x=200

The third part

4/9=x/600

4/9=x/600

9x=600*4

9x=2400

x=2400/9

x=266.66

Therefore the figures are

133.33, 200, 266.66

If one side of a cube has
an area of 25 inches
squared, what is the
volume of this cube?

Answers

A=6a2

V=a3

Solving forV

V=6A3/2

36=6·253/2

36≈8.50517

v is approx. 8.51

hope it helps =) ♥

What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (3, -8)(3,−8)? Put your answer in fully reduced form.

Answers

Zap tap nape kap sap
The answer is y= -x—5

Mrs.Tampo has 17 students in her class last year and this year she had 25 students in math class what is the percent of change

Answers

Answer:

32% decrease

Step-by-step explanation:

Solution:

Calculate percentage change

from V1 = 25 to V2 = 17

so:

Answer:     800/17=47%          :-)

my math teacher Is helping me.

If anyone could help me with this question that would be great

Answers

Answer:

5/3

Step-by-step explanation:

image/pre-image

15/9 simplified is equal to 5/3 which is the scale factor

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