IUU.
5.
a) If twice the son's age in years is added to the father's age, the sum is 70. But twice
the father's age is added to the son's age, the sum is 95, find the present ages of the
father and his son.​

Answers

Answer 1

Answer:

Son = 15 and father = 40

Step-by-step explanation:

Let, the age of son be x and father be y.

According to the question,

2x + y = 70

or. y = 70 - 2x ..................................(1)

Also,

2y + x = 95

or, 2(70 - 2x) + x = 95 (From 1)

or, 140 - 4x + x = 95

or, 45 = 3x

∴ x = 15

Now,

Substituting value of x in (1)

y = 70 - 30 = 40

∴ The present ages of son and father are 15yrs and 40yrs respectively.


Related Questions

a puzzle is shown below. what is the area of the shaded portions of the puzzle?

Answers

Answer:

it's a parallelogram

Step-by-step explanation:

May ot helpful

Tara picks out 4 paint colors (beige, blue, green, and gray) to paint 4 rooms in her house (living room, dining room, main bedroom, and kitchen).

What is the probability that tara first paints her bedroom green?



ASAP!!!!!

Answers

im going to guess it's [tex]\frac{1}{4}[/tex]

Which of the binomials below is a factor of this trinomial?
4x2 + 21x + 5
A. 4x + 5
B. 4x-1
C. 4x + 1
D. 4x - 5

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. 4x+1

Step-by-step explanation:

Leroy took a trip to Alaska. His airfare was $243 and he spent $72 each day while
he was there. Which expression can he use to help him find the cost of the trip?
(x = number of days spent in Alaska) *

Answers

421 , i did this test a while ago so maybe have someone else answer too just to make sure

Answer:

72x+243

Step-by-step explanation:

That expression will get you the total amount of money spent

Can i get a hooiiiiyaaaaaa

Answers

Answer:

Nooooooooooooooooooooo

Answer:

hooiiiiyaaaaa

Find the vertices of the hyperbola. Enter the smallest coordinate first.

Answers

Answer:

([-3], [0]), ([3], [0])

Step-by-step explanation:

The given equation of the hyperbola is presented as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1[/tex]

The vertices of an hyperbola (of the form)  [tex]\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex] are (± a, 0)

The given hyperbola can we presented in a similar form as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1[/tex]

Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;

The vertices of the parabola are ([-3], [0]), ([3], [0]).

Pick all the names for this shape. Sides that appear to be parallel are parallel

A. Parallelogram
B. Rectangle
C. Trapezoid
D. Quadrilateral

Answers

Answer:

I would say a parrallelogram

Step-by-step explanation:

Estimate 14.429 - 5.16 by first rounding each number to the nearest tenth.

Help pls

Answers

Answer:

9.23

14.43-5.2=9.23

Step-by-step explanation:

Mark me brainliest plZZZZZZZZZZZZZZZZZZZZZZZZZ

Why is 6/5 not equivalent to 3/2

Answers

Answer:

It is the first choice

Step-by-step explanation:

[tex] \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \\ \\ \frac{6}{4} \: \: is \: not \: equal \: to \: \: \: \: \frac{6}{5} [/tex]

The ratio 3 / 2 is multiplied by 2 on both the denominator and numerator to get the value 6 / 4, but the denominator part is not equal to 5, hence  6/5 is not equivalent to 3/2, so option A is correct.

What is the ratio?

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given:

6 / 5 and 3 / 2

As you can see the numerator of 3 / 2 is multiplied by 2 to get the value 6, so the denomination should also be multiplied by the number 2,

(3 × 2 ) / (2 × 2)

6 / 4

But the result came as 4 on the numerator,

Thus, 6 / 5 and 3 / 2 are not equivalent.

To know more about Ratios:

https://brainly.com/question/13419413

#SPJ2

Jerry is 5 years less than half of Mary's age. The sum of their ages is 22. How old is each person?

Answers

Answer:

Mary= 18

Jerry = 4

Step-by-step explanation:

Half of mary's age is 9, minus 5 =4.

18+4=22

Answer:

Equation 1: m/2 - 5 = j

Equation 2: m + j = 22

Mary's age: 18

Jerry's age: 4

Step-by-step explanation:

m/2 - 5 = j

18/2 - 5 = j

9 - 5 = 4

m + j = 22

18 + 4 = 22

22 = 22

Re-write the quadratic function below in Standard Form
y = -4(x – 7)(x - 1)

Answers

Step-by-step explanation:

y = -4(x – 7)(x - 1)

= -4(x²-8x+7)

= -4x²+32x-28

Factor the expression.

10g3 + 15g2 – 12g – 18


(5g2 + 6)(2g – 3)


(5g2 + 3)(2g – 6)


(5g2 – 3)(2g + 6)


(5g2 – 6)(2g + 3)

Answers

Answer:

Hopes this helps!!!!!!! :D

Step-by-step explanation:

48g-1820g^2-18g-1820g^2-54g-1820g^2+54g-1820g^2+18g-18

All i did was plug in the problems to the caluculator lol

I need some help I have no idea

22L/min= xL/hour
Complete the conversion.

Answers

Answer:

may be 1320L/hr

Step-by-step explanation:

not sure

Answer: X = 1320L/Hour

Explanation : 22L/min = 1320L/Hour

Tristan has 3 bottles of water and 4 bottles of juice in his ice chest. What is the probability that he will reach into the chest and pull out two bottles of juice in a row if he does not replace the first one?All answers should be given as a fraction in simplest form!
Any help would be appreciated, Thanks!!!

Answers

Answer:

Step-by-step explanation:

P(j=1st) =4/7

P(j=2nd) =3/6

P(j two in a row) = (4/7)*(3/6)= 12/42 = 6/21 = 2/7

P(j two in a row) = 2/7

Find the equation to the line below.
1
[?
Х
y =

Answers

Answer:

y= -4/3x

Step-by-step explanation:

hope this helps :)

Tornadoes usually come from a part of the storm that is low to the ground. *

True
or
False

Answers

Answer:

false

Step-by-step explanation:

they form when winds conbine a certain way

equivalent fractions,please help me!!

Answers

Answer:

54/81 is the answer

Step-by-step explanation:

How can the logarithmic expression be rewritten? Select True or False for each statement. Statement True False 4 log3 c + 4 log; d = log2 (cd)* å (In a + In b) = ln Va464 3 Ine + 2 ln $ = In ( ) 0​

Answers

Answer:

TrueFalse False

Hope it helps :)

The first two logarithmic expressions are true and the third one is false.

What is a logarithm?

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, [tex]4log_3c + 4log_3d = 4log_3cd[/tex].

= [tex]log_3(cd)^4[/tex] it is true.

[tex]\frac{3}{4}(lna + lnb) = \frac{3}{4}ln(ab)[/tex].

= [tex]ln(ab)^{\frac{4}{3}}[/tex] it is true.

[tex]3lne + 2lnf = lne^3 + lnf^2[/tex].

= [tex]ln(e^3f^2)[/tex] it is false.

learn more about logarithms here :

https://brainly.com/question/28346542

#SPJ2


4.Maria tossed a coin three times. She wrote
a list of her possible outcomes. How many
outcomes on her list had at least one Tail?


A. 1
B. 3
C. 7
D. 8

Answers

Answer:

(a) 1

Step-by-step explanation:

In each outcome triplet, each flip has a chance to be H or T. Thus, the following describes all the possible outcomes:

HHHHHTHTHHTTTHHTHTTTHTTT

We see that the only option without one tail is the first one, HHH, so the answer is (a) 1.

If 8 cents are needed to buy 10 pebbles, how many dollars are needed to buy 205 pebbles?

Answers

Answer:

Hello There!!

Step-by-step explanation:

If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.

(8×20.5=164) 8 cents=10 (10×20.5=205)

164 dollars=205

Therefore,the answer is 164 dollars.

hope this helps,have a great day!!

~Pinky~

consider the first six terms
in the sequence -11,-4, 3, 10, 17,24

Answers

Answer:

Next term is 31

Step-by-step explanation:

The numbers keep going up by 7.

If this has helped you please mark as brainliest

help me plz help me I need help

Answers

I don’t know either, I missed the same question

Step-by-step explanation:

-30/100 * 140 = 420/10, 0 gets canceled, so x= 42

-64/100 * 40/1 = 64 *4/10 = 256/10 (simplify by 2) = 128/5 (I'm not sure on this one)

-z = 10

HELP 5TH GRADE MATH B ,N ,N

Answers

Because 5 is 1/2 of 10, & you are cutting the ingredients by 1/2 of the original recipe.

A shelf is built on a wall, as shown below. What is the value of x?

Answers

Answer:

X=25

Step-by-step explanation:

All angles of a triangle add up for 180

We know that there is a 90 degree right angle.

So (x+25)+(2x-10)=180-90

Remove parenthesis since they don't matter in this problem.

x+25+2x-10=90

Combine similar terms

3x+15=90

Subtract 15 from both sides

3x=75

Divide both sides by 3

x=25

A tutor charges $5 for each class he takes per day that lasts for an hour. For each additional hour he tutors he charges $3.
Match the number of hours he tutors for in the first column with the money he makes from it.
4
2
DRAG & DROP THE ANSWER
܃ ܃ ܃ ܃
$14
5
$17
3
$11
$20

Answers

Answer:

4, $17

2, $11

Step-by-step explanation:

Given data

Charge= $5

Additional Charge= $3 per hour

The total charge will be

y= 5+3x

Number of hours

1. for  4 hours

The total will be

y= 5+3(4)

y= 5+12

y= $17

2. for  2 hours

The total will be

y= 5+3(2)

y= 5+6

y= $11

Solve for x.
Need help, Thank you!!
Also, i need explanation.

Answers

Answer:

7.) x = 12

9.) x = 4

Step-by-step explanation:

7.) Angle Y and Angle X both add up to 180

=> 40 + 12x - 4 = 180

=> 36 + 12x = 180

=> 12x = 180 - 36

=> 12x = 144

=> x = 12

9.) Angle W and Angle X add up to 180

=> 145 + (-1) + 9x = 180

=> 144 + 9x = 180

=> 9x = 180 - 144

=> 9x = 36

=> x = 36 / 9

=> x = 4

Hope this helps!

PLZ HELP I BEGG!! 100 POINTS AND BRANLIEST

Answers

Answer:

Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5

Answer:

Step-by-step explanation:

<3 is a right angle so its opposite angle is vertical to it. The answer is <5.

Square the binomial: (4x-5)^2

Answers

I think it is
16x2+40x+25

Answer:  16x^2 - 40x + 25

Step-by-step explanation:

HELP PLSPLSPSL check image

Answers

Answer:

D

Step-by-step explanation:

G(x)=3/x find g'(x) a) by using the quotient rule: b) by first rewriting the expression using exponents and then differentiating.

Answers

Answer:

a) The quotient rule is:

if: f(x) = 1/g(x)

Then:

[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]

In this case, we have:

G(x) = 1/x

Then we can write this as:

G(x) = 1/h(x) with h(x) = x, and h'(x) = 1

Using the above rule we get:

G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2

b) For a function like:

f(x) = x^n

we have that:

[tex]f'(x) = n*x^{n - 1}[/tex]

Here we can write G(x) = x^-1

Then we have n = -1

If we use the above rule, we get:

[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]

So we got the same result using both methods.

Other Questions
Finding ways to reach agreement with the Soviet Union on critical issues due to relaxing tensions is referred to as:A. Nixon DoctrineB. RapprochementC. DtenteD. Glasnost Some pre algebra question idrk Graph points (-4,-1) (4, 3). Write the equation of the line that passes through the points in slope-intercept form.Hurry please! I need it by the next 15 minutes . What can scientists assume about individuals with similar anatomy?I The product of two rational number is 7. If one of the numberis 12, Find the other national number The author tries to persuade the reader to agree with his claim about the importance of ecosystems byproviding facts.presenting statistics.restating his claim.using deductive reasoning. 2. Believe me based on my honor, and have respect for my honor, so you can believe. Judge me in your wisdom, and wake up your senses, so you can be a better judge. Whats the false logic in this line? algebra 1 help!!!!!!!!! The stem-and-leaf plot below gives the test scores for the 18 students in Mr. Uzun's English class. Use the plot to answer the questions that follow.Test score When choosing which details to include in your narrative, it is important toOgather information from friends and familyensure that there will not be any inside informationesodetermine your audience and purposeStoriesOinterview someone who was at the event you are describing can someone help me plzz !! i need to know the answer!! its an Algebra 1 question. Can someone please help me my test is timed!! How did the Marshall Plan impact the European economy in the post World War II era? (10 points) How are the shapes alike?1) Each shape has 6 edges.Each shape has 8 faces.Each shape has 12 edges.Each shape has 7 faces. Lea wrote a number riddle. Her clues were: The value of the 9 is ten times the value of the 9 in 329,513. The value of the 2 is one-tenth the value of the 2 in 7,562. The value of the 6 is one-tenth the value of the 6 in 4.68. Which number is an answer to Lea's riddle? Dennis has a credit card with an APR of 13.09% and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of November.If the finance charge for November is $4.93, which method of calculating the finance charge does Denniss credit card company use? is chloroplast an Organ an organelle a process an organic molecule or a building block which ordered pair represents a point on the line y=2x+1 HELP FOR 10 posits plz jessie will pack a suitcase with books. The total weight of the suitcase and books can be no more than 50 pounds. The empty suitcase weighs 5.7 pounds. Each book weighs 2.4 pounds. GOD BLESS/GEOMETRY/HELP PLS10 POINTS WHATS THE AREA??