a father is 24years older than his son. if the son is x years old, how old is the father and if the ratio of their ages is 5:2, what is the age of the son?​

Answers

Answer 1

x+25/x=5/2

5x=2(x+24) 5x=2x+48

5x-2x=48

3x=48 3x/3=48/3

the age of son=16

father=24+x 24+16=40

F=40 s=16

40/16=5:2


Related Questions

image down below plz help

Answers

Answer:

44?

Step-by-step explanation:

I realy just have a feeling

x/3+4>−2 i cant fuigr out what the answer is

Answers

Answer:

x > -18

x = { -17, -16 , -15 ,...............}

Step-by-step explanation:

[tex]\frac{x}{3}+4 > - 2[/tex]

Subtract 4 from both sides

[tex]\frac{x}{3}> - 2 - 4\\\\\frac{x}{3} > -6[/tex]

Multiply both sides by 3

[tex]x > -6*3\\\\x > - 18[/tex]

I really need help Please thank you​

Answers

Answer:

D

Step-by-step explanation:

the median is 85, the mean is 85, the mode is 80.

it can't be A, B, or C. so it must be D.

Find the area of the following
triangle:
8.5 cm
6 cm
19 cm
A= [?] cm?
pleaseee... need asapp!!!

Answers

ANSWER: A = 57cm^2
EXPLANATION: Find the length of the smaller bottom on the triangle by using pythagorean theorem, then from there you multiply the base x height (6.02 x 6) and then divide by 2. Save that number for later. (18.06) Then subtract the 6.02 from 19 to find the base of the other small triangle. You would get 12.98. Multiply the base and height (12.98 x 6) and divide by 2. You would get 38.94. Then add the two areas together (38.94 + 18.06). The answer would then be 57.

The area of the given triangle will be 57 cm^2

ConceptThe value of altitude and base of triangle is givenWe will just put the value of base of triangle and altitude in formula of area of triangle

How to solve this problem?

The steps are as follow:

Given

a = altitude of triangle = 6 cm

b = base of traingle = 19 cm

Area of triangle is given by following formula:

A = (ah)/2

A = (6 x 19)/2

A = 114/2

A = 57 cm^2

So the area of given triangle will be 57 cm^2

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Which expression is equivalent to: (5⁹ × 5⁻⁷)⁻² ?

Answers

Answer:

(6^4 x 2^-9)

Step-by-step explanation:

How many solutions does the system of equations 5x−4y=8 and 5x−4y=2 have?
A)no solutions
B)1 solution
C)2 solutions
D)an infinite number of solutions

Answers

Answer:

1 solution. y= 5/4x - 1/2

The parallelogram shown below has an area of 72 units?.
h
13
Find the missing height.

Answers

Answer:

area is given base is given so area of parallelogram =b x h

or 72=13 x h

or h =72/13=5.5 units

Answer:12

Step-by-step explanation:

A cylinder has a radius of 3.2 meters its volume is 190 Cubic meters find its height to the nearest 10th of a meter

Answers

Answer:

volume = pi r^2 h

or, 190 = pi (3.2)^2 h

or, 190/10.24 = pi h

or, 18.56 = 22/7 h

or, 18.56×7/22 = h

thus , h = 5.9037

what's the value of x

[tex] {x}^{5} = 32[/tex]

Answers

The answer to the question is 2

5.) Solve the proportion. *
2
m - 6
7.
m - 8

Answers

When you solve the problem you get m=26/5 and then you have to make it into a decimal. And 26/5 is 5.2


What is the interest on a loan of $200 if you borrow it for 24 months at a yearly interest rate of 9%?

Answers

Answer:

$36

Step-by-step explanation:

I = Prt

P = 200

r = 0.09

t = 24/12 = 2

I = 200 x 0.09 x 2

I = 36

Find the circumference of the circle. Use 3.14 for π. Round to the nearest hundredth, if necessary.

Answers

Answer:

14.45

Step-by-step explanation:

Since the solution in this case is C=π(d)/Circumference=pie * diameter you insert 3.14 for pie and 4.6 for the diameter than multiply them together to get 14.444 and it said to round to the nearest hundredth if necessary so now its 14.45.  Hope this helps!

Calculate the values of x and y.

Answers

Step-by-step explanation:

the dimension for the output isn't correct.

when u multiply 2x2 matrix by 2x1 matrix, the output matrix must have dimensions of 2x1

Simplify the expression:

4(x + 3) + 3(5 – x)

Answers

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Answer: x+27

x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?

Answers

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

The quadratic formula of 3x^2+4x+5=0

Answers

yea yeaaaaaaaaaaaaaaaaaa

3x² + 4x + 5 = 0 → x² + 4/3x +5/3 =0 → (x + ⅔)² + 5/3 - 4/9 = 0 → (x + ⅔)² + 11/9 = 0

a cereal box is 18 inches by 3 inches by 12 inches. After breakfast, the box is one-third full. How many cubic inches of cereal are left inside?

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 216 in ^3

Explanation:

18 x 3 x 12 = 648

648 / 3 = 216 in ^3

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

PLEASE HELP I’LL GIVE YOU BRILLIANCE

Andrew has $350. She spends the same amount each week. After 5
weeks, she has $150 remaining. The relationship between the amount of
money Andrew has and the number of week s is represented by a line.
CREATE A TABLE OF VALUES for this scenario up to week 5 and then state
the rate of change of this scenario. *
-$50/week
$40/week
$50/week
-$40/week

Answers

Answer:

-40

Step-by-step explanation:

the equation will be 5x + 350 = 150

5x = -200

x = $-40/week

Answer:

I would say D

Step-by-step explanation:

Good Luck!

the scale of a map is 1 cm :12 km find the actual distance for each map distance

1.) 1.5 cm
2.) 12 cm
3.)4.25
4.)8.3

Answers

Answer:

1) 18

2) 144

3) 51

4) 99.6

Step-by-step explanation:

1) Multiply 1.5 by 12, as 1.5 divided by 1 is 1

2) Multiply 12 by 12, as 12 divided by 1 is 1

3) Multiply 4.25 by 12, as 4.25 divided by 1 is 1

4) Multiply 8.3 by 12, as 8.3 divided by 1 is 1

Multiplying special cases of polynomials


1. (x + 5)(x − 5)

a) x2-2x−25
b) x2−25
c) x2+2x−25

2. (n − 1)(n + 1)

a) n2 − 2n -1
b) n2 − 1
c) n2 − 2n +1

3) (p − 1)2

a) p2 − 2p +1
b) p2 − 2p -1
c) p2 + 2p +1

4. (x − 4)2

a) x2 − 8x -16
b) x2 − 16
c) x2 − 8x +16

5. (n + 3)2

a) n2 + 6 n - 9
b) n2 - 6 n + 9
c) n2 + 6 n + 9

6.-(2 + v)2

a) 4 + 4v + v2
b) v2 + 4v +4
c) v2 + 4

Answers

Answer:

1) b) x2−25

2) b) n2 − 1

3) a) p2 − 2p +1

4) c) x2 − 8x +16

5) c) n2 + 6 n + 9

6) b) v2 + 4v +4

Step-by-step explanation:

1. (x + 5)(x − 5) = x^2 - 25

2. (n − 1)(n + 1) = n^2 - 1

3) (p − 1)^2 = p^2 - 2p + 1

4. (x − 4)^2 = x^2 -8x + 16

5. (n + 3)^2 = n^2 + 6n + 9

6. (2 + v)^2 = v^2 + 4v + 4

find the value of x for which abcd must be a parallelogram

a) 9
b)18
c) 1
d)2

Answers

The answer is b I think

HELPPPPPPP MEEEEEEEEEE

Answers

Answer:

A. (0,1) and (1,2)

Step-by-step explanation:

I graphed it

Help hurry !2. What is the value of the expression? (V5)?
B) V125
C) 5
A) V5
D) 25

Answers

25 heuiheuheouihoeiuhuehoieue
I’m pretty sure it’s V125

The school band will sell pizzas to raise money for new uniforms. The supplier charges $97.00 plus $6.00 per pizza. The band members sell the pizza for $8.00 each. Enter and solve an inequality to find how many pizzas the band members will have to sell to make a profit. Let p be the numbers of pizzas sold. The inequality is ? The band members will need to sell at least __. pizzas.

Answers

Answer:

49 pizzas

Step-by-step explanation:

Start by writing it as a equation,

P stands for Pizza

6p +97 = 8p

Minus 6p from both sides

97=2p

Divide by 2

P= 48.5

You would need to round up, so it would be 49 pizza

help plz, will mark brainliest

Answers

Answer:

option c.........it should be tan(20)=x/15.035

Answer:

d

Step-by-step explanation:

100 points! Look at the picture attached. Random answers and links will be reported

Answers

Answer and Step-by-step explanation:

4. We are finding line AC.

AB is congruent to BC because the angles at the top are both 30 because of angle bisector. BD is congruent to BD, so triangles are congruent by SAS theorem. That means AB is congruent to BC by CPCTC (Congruent Parts of Congruent Triangles are Congruent).

With that being said, we can equal the expressions together.

-x + 25 = 3(2x - 8)

-x + 25 = 6x - 24

49 = 7x

7 = x

-(7) + 25 = 18

3(2(7) - 8) = 3(14 - 8) = 3(6) = 18

18 + 18 = 36

AC = 36

6. We are finding measure of angle UTW.

We have another angle bisector, so that side is equal to itself (TV ≅ TV)

We have UV and VW having the same length, so those are congruent.

Since this is a right triangle, these triangles are congruent by the HL (Hypotenuse-Leg) Theorem.

So, now we can equal the angles together.

2x + 3 = 5x - 24

27 = 3x

9 = x

2(9) + 3 = 18 + 3 = 21

5(9) - 24 = 45 - 24 = 21

21 + 21 = 42

m∠UTW = 42

#teamtrees #PAW (Plant And Water)

(Sorry for the late response, this took some time).

I NEED HELP now pls pls

Answers

pythagoras theorem ! (a²+b²=c²)

Q1) AC = √4.8²+3.6²
= √36
= 6cm

Q2) AB= √17.55² - 6.75²
= √262.44
= 16.2cm

Q3) BC= √14² - 6²
= √160
= 12.64911
= 12.6 cm (to 3sf)

Answer:

1) AC = 6 cm

2) AB = 16.2 cm      ( note that ^{2} is = square and \sqrt{  this is = square root)

3) BC = 12.65cm

Step-by-step explanation:

1) a^{2} + b^{2} = c^{2}

4.8^{2} + 3.6^{2} = AC^{2}

36 = AC^{2}

\sqrt{ }36 = AC

AC = 6

2)   a^{2} + b^{2} = c^{2}

AB^{2} + 6.75^{2} = 17.55^{2}

AB^{2} = 308.0025 - 25.5625

AB = \sqrt{ }262.44

AB = 16.2

3)  a^{2} + b^{2} = c^{2}

BC^{2} + 6^{2} = 14^{2}

BC^{2} = 196 - 36

BC = \sqrt{ } 160

BC = 12.65

I hope this helps a little bit.

3a-28-7a=10a I need it fast

Answers

Answer:

a=-2

Step-by-step explanation:

Combine common variables on both sides.

3a-7a-28=10a

-4a-28=10a

Add variables to other side

-28=14a

Divide each side by 14

a=-2

Step-by-step explanation:

hope it will helpful to you

A student simplified the expression (3x^2+2)-(2x^2+4) as x^2+^6 Explain what the student did incorrectly and state the correct answer.

Answers

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.

fill in blanks to write the function when x=3 h(x)=-4-7, when x=3:​

h(__)=__​

Answers

Answer:

h(x)= -4x-7, when x=3

Answer= h(3)= -19

Step-by-step explanation:

Substitute 3 for x in the function and simplify:

h(x) = -4x – 7

h(3) = -4(3) – 7

= -12 – 7

= -19

The value of the function h(x) = -4x - 7 at x = 3 will be -19.

What is function ?

The function is defined as a relation between a set of inputs having one output each.

We have,

h(x) = -4x - 7,

So,

When

x = 3

So,

Substituting x = 3 in the given function,

i.e.

h(x) = -4x - 7

We get,

h(3) = -4 * 3 - 7

h(3) = -12 - 7

So,

h(3) = -19

So, the given function at x = 3 is -19.

Hence, we can say that the value of the function h(x) = -4x - 7 at x = 3 will be -19.

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