Mathematics College

Q11) The age of a man is equal to the sum of the ages of his son and daughter. The ratio of the age of the son to that of the
daughter is 5 : 4. If the age of the man is 45 years, find the ages of his son and daughter.

Answers

Answer 1

Step-by-step explanation:

Let the ages of son and daughter be 5x and 4x Then

By the question

The age of a man is equal to the sum of the ages of his son and daughter . So

5x + 4x = 9x

Now

it is given that

age of the man = 45

or 9x = 45

x = 45 / 9

x = 5

Finally

Age of son = 5x = 5 * 5 = 25

Age of daughter = 4x = 4 * 5 = 20

Hope it will help :)❤

Related Questions

Brandon measured the length of a pencil to be 18cm. The actual length of the pencil is 21cm. What is the percent error for Brandon’s measurement? (Round to the nearest tenth).

Answers

Answer:

14.2% error

Step-by-step explanation:

21-18 = 3

3/21 = 14.2

Answer:

14.2%

Step-by-step explanation:

21-18 = 3

3/21 = 14.2

Please give a solution

Answers

Answer:

x-3<10 is solution and 6y>12 is not a solution

Step-by-step explanation:

The first one is not solution the second one is not solution I think

( The answer is a response, Not multiple Choice )

Answers

X=73* and Y=39*
This is basically just because angles on a straight line= 180* so x= 180*-107* and y= 180*-90*-51*

The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it
being sunny and rainy at the same time is 10%. Calculate, the probability that it is
either sunny or rainy.

Answers

Answer:

0.6 = 60% probability that it is either sunny or rainy.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Rain

Event B: Sun

The chance of rain is 20%

This means that [tex]P(A) = 0.2[/tex]

The chance of it being sunny is 60%

This means that [tex]P(B) = 0.6[/tex]

The chance of it being sunny and rainy at the same time is 10%.

This means that [tex]P(A \cap B) = 0.1[/tex]

Calculate, the probability that it is either sunny or rainy.

This is:

[tex]P = P(A) + P(B) - 2P(A \cap B) = 0.2 + 0.6 - 0.2 = 0.6[/tex]

0.6 = 60% probability that it is either sunny or rainy.

Hind the area. WORK 8 mm​

Answers

Answer:

모 ⃢ ⃢ Heres The Link To The Answer: https://vm.answersheet.com/ZMeSy4nH1/

Step-by-step explanation:

Figure ABCD is a rectangle. Find the
value of x.
С
B
2x + 4
E
7X-1
А
D
x = [?]
PLEASE HELP‼️

Answers

2x+4=7x-1
5x=5
X=1
Thank you

The value of x for the two lengths of the diagonals is 1.

What is a diagonal?

A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.

Given that the two segment values are 2x + 4 and 7x - 1. The value of x will be calculated as,

2x+4 = 7x-1

5x = 5

x = 1

Hence, the value of x is 1.

To know more about geometry follow

https://brainly.com/question/16967799

#SPJ2

Which graph represents exponential decay?


Answers

Answer:

1000x4=4000

Step-by-step explanation:

there is no graph

Answer:

C

Step-by-step explanation:

will you please help me with this question?​

Answers

Answer:

i can't see it make it more noticeable

alguien que me ayude con esto​

Answers

Answer:

Triangulo: A= h(subindice b)b/2

Cuadrado: A= L×L o A=L^2

Rectangulo: A= b×a

Rombo: A= D×d/2

Romboide: A= b×h

Trapecio: A= (B×b)h/2

Trapezoide: A= b+B/2(h)

Can anyone help!!!! Please!!!?

Answers

I believe it’s 24in2
Explanation: goodluck

Answer:

384

Step-by-step explanation:

A=[tex]6_{2}[/tex]a=6·82=384

Classify the data of the number of customers at a restaurant

Answers

Answer:

we need a picture or screenshot to answer this correctly, but i would think it would be consumer growth per time unit that the graph is based on

Answer:

we would need a question like a picture or some thing else.

The value of a house increases by 20% each year.
It is valued at $20000 today.
a) What will it be worth in two years' time?
b)What was it worth one year ago?

Answers

Answer:

a. $28,800

b. $16,000

Step-by-step explanation:

A.

20,000 * 20% = 4,000

so thats how much more it will be next year

add that together

20,000 + 4,000 = 24,000

so thats one year from now and we have to find two

multiply 20% times next years value

24,000 * 20% = 4,800

so add that to 24,000

24,000 + 4,800 = 28,800

so in two years the value will be $28,800

B.

20,000 * 20% = 4,000

so thats how much less it was worth one year ago

so you have to subtract it

20,000 - 4,000 = 16,000

so it was worth $16,000 one year ago

What is the volume of this composite solid?
6 m
5 m
12 m
9 m

Answers

the answer is 864 cubic meters

Answer:

864 my brother

Step-by-step explanation:

Abigail wants to save $15,000 to buy a car in seven years. If she deposits $10,000 into an account that receives 5.7 percent interest compounded continuously, will she have enough money in seven years?

Answers

Step-by-step explanation:

57,000 cus u multiply 10,000 n 5.7

Answer:

no she will have $14,372

Step-by-step explanation:

whats s scater plot?​

Answers

Answer:

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

Step-by-step explanation:

3. The table below lists the colored marbles in a bag. Match the theoretical probabilities for drawing a single marble with the correct marble color. Marble Color Number of Marbles blue 12 red 6 yellow 21 black 8 green 11 1. 19% 2. 14% 3. 36% 4. 21% 5. 10% a.red b.black c.green d.red e.yellow​

Answers

Answer:

Blue = 12/58 * 100% = 20.68 = 21%

Red = 6/58 * 100 = 10.34 = 10%

Yellow = 21/58 * 100 = 36.20 = 36%

Black = 8/58 * 100 = 13.79 = 14%

Green = 11/58 * 100 = 18.96 = 19%

Step-by-step explanation:

Given the table :

Marble_color ____ Number of marbles

Blue ___________ 12

Red ___________ 6

Yellow _________ 21

Black __________ 8

Green _________ 11

Theoretical probability % = (number of favorable outcome / number of total possible outcomes)

Total possible outcomes = (12+6+21+8+11) = 58

Blue = 12/58 * 100% = 20.68 = 21%

Red = 6/58 * 100 = 10.34 = 10%

Yellow = 21/58 * 100 = 36.20 = 36%

Black = 8/58 * 100 = 13.79 = 14%

Green = 11/58 * 100 = 18.96 = 19%

HELP PLEASE !! .................................................................................................................................................................

Answers

Answer:

15

Step-by-step explanation:

Substitute a and b then

Follow PEMDAS

Hope this helps! :)

15

(a+b)^3-12
(2+1)^3-12
27-12
15

The reflection of point s across the y-axis is point_ the reflection of point

Answers

Answer:

Point V

Step-by-step explanation:

i think

It is point V because you just go across the y axis how ever many points point S is to start with

Enter your answer
24. If you invest $4000 in an account that gains 7% interest each year, how long will it take for there
to be $9000 in the account?
(5 Points)

Answers

Answer:So, since it is continuously, we need to think of PERT

A=P\times e^{rt}

So, we just plug our numbers in to solve for T

8000=4000e^{.07t}\\\ln(8000)=\ln(4000e^{.07t})\\\ln(8000) = \ln(4000) + \ln(e^{.07t})\\\ln(8000)=\ln(4000)+.07t\ln(e)\\\ln(8000)=\ln(4000)+.07t\\\frac{\ln(8000)}{\ln(4000)}=.07t\\\frac{\ln(8000)}{.07\ln(4000)}=t\\ 15.479=t

It will take 15.479 years

Step-by-step explanation:

-6x+5y=1 and 6x+4y=10.substitution

Answers

Answer:

(23/27, 11/9)

Step-by-step explanation:

Given the simultaneous equation;

-6x+5y=1..... 1

6x+4y=10.... 2

Add both equations

5y + 4y = 1+10

9y = 11

y = 11/9

Substitute y = 11/9 into 1;

From 1;

-6x+5y=1.

-6x + 5(11/9) = 1

-6x + 55/9 = 1

-6x = 1- 55/9

-6x = (9-55)/9

-6x = -46/9

x = -46/-54

x = 23/27

The solution to the system of equation is (23/27, 11/9)

Someone please fill in the blanks

Answers

Answer:

Option B

Step-by-step explanation:

Scale factor by which the triangle ABC has been dilated to form the image triangle DEF,

Scale factor = [tex]\frac{\text{Dimension of image triangle}}{\text{Dimension of the original triangle}}[/tex]

                    = [tex]\frac{EF}{BC}[/tex]

                    = [tex]\frac{1}{2}[/tex]

Therefore, Option B will be the correct option.

Find (f+g)(x) for the function.
f(x) = x2 + x
g(x) = x + 2

Answers

(f+g)(x) = f(x) + g(x)

x^2 + x + x + 2

= x^2 + 2x + 2

Final answer: x^2 + 2x + 2

3)
2(34 + 12) > 50
This inequality contains a variable, b. Choose ALL numbers that make this inequality true.
A)
16
B)
18
19
D
20
E)
22

Answers

Answer:

a and c

Step-by-step explanation:

Part B: Which of the following statements
accurately describes the shape, center, and
spread of the data?
O A. The range is 9, there is a gap at 94, the
distribution is skewed right, and there is a peak
at 96.
o B. The median is 96, there is a gap at 92, a peak
at 96, and the distribution is symmetrical.
O C. The mode is 96, there are gaps at 92 and 94,
the distribution is skewed left, and 90 and 91
are outliers.
D. The mean is about 95.5, there are no gaps, the
distribution is symmetrical, and 90 is an outlier

Answers

Answer:

c

Step-by-step explanation:

because that would be the wrong one

What is the inverse of f(x)=3x+14

Answers

Answer:

f^-1(x)=x/3-14/3

Step-by-step explanation:

A company sells widgets. The amount of profit, y, made by the
company, is related to the selling price of each widget, x, by the given
equation. Using this equation, find out the maximum amount of profit
the company can make, to the nearest dollar.
y = -4x^2 + 183x – 1247

Answers

Answer:

846.06 units

Step-by-step explanation:

The amount of profit, y, made by the  company, is related to the selling price of each widget, x, by the given  equation as follows :

[tex]y = -4x^2 + 183x- 1247[/tex] ...(1)

We need to find out the maximum amount of profit  the company can make.

For maximum profit put dy/dx = 0

So,

[tex]\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87[/tex]

Put x = 22.87 in equation (1). So,

[tex]y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06[/tex]

So, the maximum profit is 846.06 units.

X = {a, c, d, e, f, g,I}
Y = {b, c, d, e, h, i, k, l, m}
Z = {c, f, i, j, m}
Represent the above information on a Venn diagram.
Help

Answers

Answer: sorry but i need points

Answer:

Step-by-step explanation:

me too^^

Really need help with this!!!

Answers

Answer:

Around 6.65

Step-by-step explanation:

Alpha is 35•
Beta is 40•
Side is 10ft
Answer is close to 8.92327

Albert has $150 in his bank account. If he plans to add $25 a week, if represents weeks, how long would it take Albert to save $1340. A 32 weeks

B
40 weeks

C
48 weeks

D
60 weeks

Answers

Answer:

C

Step-by-step explanation:

( it think you meant to put 1350 because theres no way to get 1340)

what if i clapped ya moms cheeks?​

Answers

Answer:

If you do you nasty

Smh why would you say thaaaaaat

Answer:

where ya mom at homie :smirk:

Step-by-step explanation:

Other Questions
Which level of organization is formed from two or more different tissues that group together and perform a function? (4 points) Molecule Organ Organ system Tissue A 90N force towards postive x-axis, A 50N force towards negative x-axis applied on 5kg object. Find:- A) the net force on the object and B) the acceleration of the object Read the excerpt from the story Animals in the Zoo.It was time for Ryan's mom to examine the tamarins, so they headed to the Primate Discovery Center. They walked into the veterinarian's room so that his mother could examine the tamarins. The public wasn't allowed to see them until Ryan's mother had looked them over and made sure they were healthy. The room was white, very sterile, and looked like an operating room that you would see on TV. Ryan's eyes widened and a look of uneasiness crossed his face. He was scared, and his mother noticed right away."Don't worry, we won't be operating on the tamarins today. We are just checking their health and looking at their eyes, ears, and hands during this visit. We want to make sure they are healthy enough to be put into their enclosure," she said. Just then, a zoo employee brought in the two tamarins, and Ryan immediately understood why they were called cotton-top tamarins. They had white tufts of hair on top of their heads. The zoo employee told Ryan and his mom that these two tamarins were the first of many to come to the zoo. If these two stayed healthy and appeared to be happy in their enclosure, the zoo would be able to get even more tamarins to fill the exhibit which is why they wanted to make sure they had an expert come in to examine them.Read the excerpt from the story Winter Driving.As he came around a bend in the road, he could feel his tires slip and slide on the ice. But the ice wasn't his only problem. His eyes grew wide when he saw a small hill straight ahead. He scrunched his eyebrows as he concentrated on staying on the road. He worried for a minute since he was driving slowly and the ice on the road might prevent him from making it up the hill. He drove slowly until he got to the base of the hill. He started making his way up, but it wasn't long before his tires started to spin on the ice. He continued, slow and steady, squeezing the steering wheel so tightly that his knuckles were turning white.Eventually, Jesper made it to the top of the hill. Phew, he thought. He pulled over so that he could release the steering wheel from his tight grasp. He squeezed his hands into fists a few times to get the blood flowing through his fingers once again. He took a few breaths and continued driving. The snow was still falling, and he knew he definitely didn't want to get stuck sleeping in his car. He had come this far, and he was determined to make it all the way home.Select the evidence that shows the difference in what helps the characters in Animals in the Zoo and Winter Driving overcome their fear. which of the following is the name of a type of chromosomal nutation AND a type of gene mutation Which of the coordinates is equal to cos(50) PLEASE HELP!!!!!What message would you like teenagers to know about how cannabis is dangerous? what is the benefit of filing a tax return even if you didnt make enough money? At a local store, orange juice can be purchased in a value pack. This table represents the number of value packs purchased and the number of bottles of orange juice.Number of value packs purchased 2 7 11 13Total bottles of orange juice 8 28 44 52What is the unit rate? What is the value of the expression below?(16^2)^1/4A. 4B. 8C. 16D. 2. Find the difference. *-3 - (-9) 6th Grade Math:A 5-pound bag of cat food costs $11. What is the unit price of the cat food? Over 50 percent of the U.S. population today lives in A tree casts a shadow that is 9 meters long. A 54 meter tall building nearby casts a shadow that is 24 meters long. What is the height of the tree Which of the following are not biotic or abiotic factors in an ecosystem? A. Water and air B. Rocks and energy C. Plants and animals D. Cultural components what is a sign that a person may need help for a mental disorder ? What do you do when you are working on a math word problem Complete the blanks in the following sentence from the multiple-choice selections below.Figure 1 illustrates that when orcas started eating sea otters, the sea otter population [blank 1], the urchin population [blank 2], and the kelp population [blank 3]. _______a. decreased, decreased, decreasedb. decreased, increased, decreasedc. increased, decreased, increasedd. dincrease, increased, increased PLS HELP I NEED ASAP PLS AND TY DUE SOON ILY Herodotuss HistoryXerxes addresses the Persians: I have found out a way whereby we may at once win glory, and likewise get possession of a land which is as large and as rich as our own . . . while at the same time we obtain satisfaction and revenge. . . . My intent is to . . . march an army through Europe against Greece, that thereby I may obtain vengeance from the Athenians from the wrongs committed by them against the Persians and against my father.HerodotusThe Persian Wars, Book VIIIf Xerxes plan is successful, what will he gain?a.possession of a rich landc.gloryb.satisfaction and revenged.all of the abovePlease select the best answer from the choices providedABCD Explain why the differential permeability or impermeability of specific sections of the nephron tubules is necessary for urine formation?