Please help me!

Solve for v.
124 - v = 175

Answer:

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

It is given that man is 24 years older than his son that is:

x=y+24

x−y=24..........(1)

Also, 12 years ago, he was five times as old as his son that is:

(x−12)=5(y−12)

x−12=5y−60

x−5y=−60+12

x−5y=−48..........(2)

Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get

(x−x)+(−5y+y)=−24−48

i.e. −4y=−72

i.e. y=18

Substituting this value of y in (1), we get

x−18=24

i.e. x=24+18=42

Hence, the present age of the father is 42 years and the present age of the son is 18 years.

Step-by-step explanation:

Answer:

[tex]a + b = - 1 + 6 = 5 \\ a \times b = 6 \times ( - 1) = - 6[/tex]

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Evaluate each expression if a = -1 and b = 6:

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

(1) a + b = ?

[tex] \sf \: a + b = ? \\ \\ \sf \: Substitute \: the \: values \: of \: a \: and \: b \\ \\ \sf a + b \\ \sf \dashrightarrow( - 1) + (6) \\ = \large \boxed{\mathfrak{ 5}}[/tex]

__________________

(2) ab = ?

[tex] \sf \: ab \: = ? \\ \\ \sf \: Substitute \: the \: values \: of \: a \: and \: b \\ \\ \sf \: ab \\ \dashrightarrow \sf( - 1)(6) \\ \dashrightarrow \sf- 1 \times 6 \\ = \boxed{\mathfrak{ \bold- 6}}[/tex]

Probabilities are used to determine how likely it is for an event to happen.

(1) A roll of two dice

Let the dice be A and B. The sample space of each is:

[tex]A = \{1,2,3,4,5,6\}\\B = \{1,2,3,4,5,6\}[/tex]

To get the sample space (S) of the sum of the dice, we simply add up the individual element of both dice. So, we have:

[tex]S = \{(1+1),(1+2),(1+3),(1+4),(1+5),(1+6),.............,(6+1),(6+2),(6+3),(6+4),(6+5),(6+6)\}[/tex]

This gives

[tex]S = \{2,3,4,5,6,7,.............,7,8,9,10,11,12\}[/tex]

The complete sample space is:

[tex]S = \{2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12\}[/tex]

[tex]n(S) = 36[/tex] --- the total outcomes

The probability of rolling a sum of 7 is:

[tex]P(7) = \frac{n(7)}{n(S)}[/tex]

Where

[tex]n(7) = 6[/tex] ---- number of 7's in the sample space

So, we have:

[tex]P(7) = \frac 6{36}[/tex]

[tex]P(7) = 0.167[/tex]

The probability of rolling a sum of 7 is 0.167

(2) Restaurant

We have:

[tex]Soup = \{A,B,C,D\}[/tex]

[tex]Salads = \{1,2,3\}[/tex]

To get the sample space (S), we simply pick the individual elements of the above data. So, we have:

[tex]S = \{A1, A2, A3,B1, B2, B3,C1, C2, C3,D1, D2, D3\}[/tex]

(3) Disjoint events

Events are said to be disjointed if they cannot happen at the same time. 3 examples are:

(4) Bob and Sarah

Let

[tex]A \to[/tex] Bob gets to work on time

[tex]B \to[/tex] Sarah gets to work on time

[tex]P(A) = 80\% \\ P(B) = 90\%\\P(A\ n\ B) = 72\%[/tex]

The probability that Bob OR Sarah is late for work is represented as:

[tex]P(A'\ or\ B')[/tex]

This is calculated using:

[tex]P(A'\ or\ B') = P(A') + P(B') - P(A'\ n\ B')[/tex]

Where:

[tex]P(A') = 1 - P(A) = 1 - 80\% = 20\%[/tex]

[tex]P(B') = 1 -P(B) = 1 - 90\% =10\%[/tex]

[tex]P(A\ n\ B') = P(A) \times P(B') = 20\% \times 10\% = 2\%[/tex]

So, we have:

[tex]P(A'\ or\ B') = P(A') + P(B') - P(A'\ n\ B')[/tex]

[tex]P(A'\ or\ B') = 20\% + 10\% - 2\%[/tex]

[tex]P(A'\ or\ B') = 28\%[/tex]

[tex]P(A'\ or\ B') = 0.28[/tex]

The probability that Bob OR Sarah is late for work is 0.28

(5) Jake's Pizza

Let

[tex]A \to[/tex] The proportion of time they deliver on time

[tex]B \to[/tex] You get your pizza for free

So:

[tex]P(A) = 92\%[/tex]

You get your pizza for free if they didn't deliver within 30 minutes.

This means that:

[tex]P(B) = 1 - P(A)[/tex] --- Complement rule

So, we have:

[tex]P(B) = 1 - 92\%[/tex]

[tex]P(B) = 0.08[/tex]

The probability that you get your pizza for free is 0.08.

(6) Students and Soccer

Let:

[tex]A \to[/tex] Probability that a student likes soccer

So:

[tex]P(A) = 54\%[/tex]

If all 3 selected students like soccer, the probability is calculated as:

[tex]Pr = P(A) \times P(A) \times P(A)[/tex]

[tex]Pr = P(A)^3[/tex]

[tex]Pr = 54\%^3[/tex]

[tex]Pr = 0.157[/tex]

The probability that all 3 selected students like soccer is 0.157

(7) Students and Soccer

Let:

[tex]A \to[/tex] Probability that a student likes soccer

[tex]B \to[/tex] Probability that a student does not like soccer

So:

[tex]P(A) = 54\%[/tex]

[tex]P(B)= 1 - P(A)= 1 - 54\% = 46\%[/tex] ---- Complement rule

If all 4 selected students do not like soccer, the probability is calculated as:

[tex]Pr = P(B) \times P(B) \times P(B) \times P(B)[/tex]

[tex]Pr = P(B)^4[/tex]

[tex]Pr = 46\%^4[/tex]

[tex]Pr = 0.045[/tex]

The probability that all 4 selected students do not like soccer is 0.045

(8) Marbles

[tex]Blue = 6 \\ Green = 4 \\ Red = 5[/tex]

When the green marble is selected, we are left with

[tex]Blue = 6 \\ Green = 3 \\ Red = 5[/tex]

The probability of selecting a red marble at this point is:

[tex]P(Red) = \frac{Red}{Blue + Green + Red}[/tex]

[tex]P(Red) = \frac{5}{6+3+5}[/tex]

[tex]P(Red) = \frac{5}{14}[/tex]

[tex]P(Red) = 0.357[/tex]

The probability that the next marble you draw is red is 0.357

(9) Studying for test

Let

[tex]A \to[/tex] Students got an A

[tex]B \to[/tex] Students studied for test

So:

[tex]P(A\ n\ B) = 60\% \\ P(B) = 75\%[/tex]

The probability that a student got an A given that they studied for the test is  represented as:

[tex]P(A | B)[/tex]

So, we have:

[tex]P(A | B) = \frac{P(A\ n\ B)}{P(B)}[/tex]

[tex]P(A | B) = \frac{60\%}{75\%}[/tex]

[tex]P(A | B) = 0.80[/tex]

The probability that a student got an A given that they studied for the test is  0.80

Read more about probabilities at:

https://brainly.com/question/16693319

Answer:

It will take [tex]3[/tex] workers to build [tex]95[/tex] birdhouses

Step-by-step explanation:

Given:

[tex]5[/tex] workers to built [tex]120[/tex] birdhouses[tex]=3[/tex] days

To find how long will it take [tex]3[/tex] workers to build [tex]95[/tex] birdhouses

By unitary method,

[tex]1[/tex] worker to built [tex]120[/tex] birdhouses [tex]=3[/tex] × [tex]5[/tex] days

[tex]1[/tex] worker to built

So ,

[tex]1[/tex] worker to built

[tex]3[/tex] workers to built [tex]1[/tex] birdhouse[tex]=\frac{3*5}{120*3}[/tex] ⇒[tex]\frac{1}{24}[/tex]days

[tex]3[/tex] workers to built [tex]95[/tex] birdhouses [tex]=\frac{1}{24}[/tex] × [tex]95[/tex]

[tex]= 3.95[/tex] or [tex]4[/tex] days.

Learn more about unitary method, refer:

The fraction of money spent is 5 / 8 x.

The fraction of money left is 3 / 8 x.

This week Harry spent 1/2 of his pocket money on a ticket for a football match. Therefore,

let

x = amount of money he has

Therefore,

amount spent on football match = 1  /2 x

He also spent 1/8 of his pocket money on a scarf at the match.

Therefore,

amount spent on scarf = 1 / 8 x

Fraction of money spent = 1 / 2 x + 1 / 8 x = 4 + 1 / 8 = 5 / 8 x

Fraction of money left = x - 5/8 x = 8x - 5x/8 = 3 / 8 x

learn more on fraction here: https://brainly.com/question/24216547

#SPJ5

Answer:mzxm m mccaca

Step-by-step explanation:s,cscbsmc msc cmca

Answer:

[tex]x = - \frac{1}{28} [/tex]

Step-by-step explanation:

is your answer

Answer:

There are 5 planets visible without a telescope, Mercury, Venus, Mars, Jupiter, and Saturn (6 if you include Uranus for those with sharp eyes!). All of them plus Neptune move within 7 degrees of the ecliptic.

Venus. After the Moon, Venus is the brightest natural object in the night sky. It is both the Earth's closest neighbor in our Solar System and the planet most similar to Earth in size, gravity, and composition. We can't see the surface of Venus from Earth, because it is covered with thick clouds.

Step-by-step explanation:

https://www.astronomynotes.com/nakedeye/s15.htm#:~:text=There%20are%205%20planets%20visible,7%20degrees%20of%20the%20ecliptic.

https://www.farmersalmanac.com/visible-planets-guide

So I think it is A sorry if I am wrong.

Answer:

C. Neptune and Saturn

Explanation:

Neptune and Saturn are both considered 'giant planets'. Therefore, these planets are most likely to be visible from earth.

hope this helps!

Answer:

A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm

Step-by-step explanation:

This is a geometric sequence.

a%5B1%5D=1.5m=150cm, r=0.74

The formula is

a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29

Just substitute a1 = 150cm and r = 0.74

a%5Bn%5D=150%280.74%29%5E%28n-1%29

That's the rule.

For the second part, substitute n = 6

cm.

Answer:

It's the positive i, no matter what i is equal to.

Answer:

-13/10

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-7-6/4-(-6)

-13/10

Best of Luck!

Answer: -16.2k^10

Step-by-step explanation:

(3k^4)^5 / -15k^10

3^5k^20 / -15k^10

243k^20-10 / -15

243k^10 / -15

-16.2k^10

Answer:

B

Step-by-step explanation:

The easiest way to find the answer is to convert all of the fractions to have the same denominator,...

A = (22/55 / 11 = 2/5 and 2/5 * 20)            = 40/100

B = (17/20 * 5)                                             = 85/100

C = (4/5 * 20)                                              = 80/100

D = (3/4 * 25)                                              = 75/100

B (Lily) is the highest followed by C (Nikki), D (Sydney), and A (Monica)

Hope it helps,... Chow,...!

Answer:

608 minutes.

Step-by-step explanation:

When you add 8.24 and 11.03 you get 19.27 this number then needs to be multiplied by 32 which leaves us with 616.64. The question asks on average how many minutes James traveled, so I would round to the nearest number which would be 608.

I hope this helped lol

Answer:

he is now 18

Step-by-step explanation:

2/3 so their are 3 parts but you have 2 for know so 12 by 2 is 6 and 6 times 3 is 18.

Answer:

it's say download FPD SORRY I CAN'T SLOVE IT

Answer:

54.431 kilograms

Step-by-step explanation:

don't have step by step but 1kg is 2.205lbs

Step-by-step explanation:

y = - 2/5 x + 1

____________

Answer:

y = -2/5x + 1

Step-by-step explanation:

slope = rise/run

The line goes down two and five right.

The line crosses the y-intercept at 1.

Answer:

8,000,000,000 text messages every month.

Step-by-step explanation:

[tex]8*10^9[/tex]

[tex]10^9[/tex] means there will be 9 zeroes at the end of 1. So it will be 1,000,000,000.

So 8* 1,000,000,000 will be 8,000,000,000 text messages every month.

Answer:

1. 9.576

2. 17.442

3. 45.29

4. 79.294

5. 30.736

6. 30.8

7. 31.5

8. 25.85

9. 53.29

10. 49.184

11. 15.18

12. 15.573

13. 17.075

14. 74.06

15. 9.01

Step-by-step explanation:

Use a multiplication method to find the answers. I would put it up here but i dont know how.

Answer:

B. 7/20

Step-by-step explanation:

P(A | B) = P(A∩B) / P(B) is the formula for conditional probability

             = (7/40) / (1/2)

Copy dot flip

              = 7/40 * 2/1

              =7/20

Answer:

C ≥ 8

the absolute value of the variable c is greater than or equal to 8

Step-by-step explanation:

Let's find the value of x,

→ 1.025x = 11.55

→ x = 11.55/1.025

→ x = 11.2682926829

→ [x = 11.27]

So, 11.27 is the solution.

Answer:

-2

Number Line:

                   1   2  3  4  5                                                        

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Answer:

dude it is too easy bro -2 I don't really like math but the answer is -2 so goodluck

Step-by-step explanation:

-7+5=?

count but start from -7 instead like this

-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

now we just count from -7  

-7 -6 -5 -4 -3 -2

how much five not subtract add you are going up this time so good luck

here a number line too.

                                              < -10 -9 -8 -7 -6 -5 -4 -3 -2 -1    0    1 2 3 4 5 6 7 8 9 10 >