25) A father is twice as old as his son. The sum oth of the ages is 99 years. Find their ages.​

Answers

Answer 1

Answer:

If the son’s age is x, the father’s age is 2x.

If the son’s age is x, the father’s age is 2x.Ten years ago:

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 52

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 52

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 24

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 242x = 48

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 242x = 48So the son’s age is 24 and the father’s is 48. Ten years ago, they were 14 and 38, which adds up to 52.

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Related Questions

PLS HURRY I NEED THE ANSWER FAST

Answers

Answer:

16

notice how a right triangle was formed, and the Pythagorean theorem could be used to solve this :

a^2 + b^2 = c^2

a^2 + 15^2 = 17^2

a^2 + 225 = 289

a^2 = 64

a= 8

multiply it by 2 to get the side of the base

8 * 2 = 16

Find the missing side of triangle

Answers

Answer:

x = 50

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other two sides , then

x² = 48² + 14² = 2304 + 196 = 2500 ( take the square root of both sides )

x = [tex]\sqrt{2500}[/tex] = 50

48^2 + 14^2 = x^2
X= 50

X =

A)6 2/3
B)9
C)12

Answers

I think the answer would be (C) 12 because when you lay the line measuring 5 - 4 flat you can see that it is not covering line x completely. When 3 to the new line of 9 you can see that it fits. Hope this helps!

The number which is a perfect square is- a) 360 b)528 c) 729 d) 677​

Answers

Answer:

729

Step-by-step explanation:

because the square of 27 gives 729

I can check this through long division

Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week

Answers

Answer:

9 more weeks

Explanation:

She already saved 20(3)=60

240=60+20(x)
X=9
She needs 9 more weeks

True False for each

Function A has a greater slope.

Function B has a greater y-intercept.

The slopes for both functions are the same.

The equation for function A is y=2x+3 ​

Answers

Answer:

can you please add a picture

Step-by-step explanation:

I can't work it out without no picture

Kasonga's TV plan costs $59.99 per month plus $5.49 per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?

Answers

Answer:

7

Step-by-step explanation:

We can solve this problem by making an equation for the monthly bill. First, the cost is $59.99 per month, and that cannot be decreased, so we must add all costs to that amount. Next, it costs $5.49 per first run movie, so for each first run movie, we add $5.49 to the total. Therefore, we can write our equation as

59.99 + 5.49 per first run movie = monthly bill

Representing the number of first run movies as r, we can say

59.99 + 5.49 * r = monthly bill

Next, the monthly bill should be less than or equal to 100, so we can say

monthly bill ≤ 100

59.99 + 5.49 * r = monthly bill ≤ 100

Moreover, we want to maximize r, or the amount of first run movies. Because we add money to the monthly bill for each movie, to maximize r, we have to find the maximum money we can spend on the monthly bill that is still less than or equal to 100. To do this, we set the monthly bill to its maximum limit, or 100, so we have

59.99 + 5.49 * r = 100

subtract 59.99 from both sides to isolate the f and its coefficient

40.01 = 5.49 * r

divide both sides by 5.49 to isolate the variable

r ≈ 7.29

Since we can't buy .29 of a movie, and rounding up to 8 movies would cause us to go past 100 dollars, the maximum movies he can watch if he wants to keep his monthly bill ≤ 100  is 7

Polygon ABCDEF has 6 sides. A is 170° C is 133° D is 102° he is 117° and F is 90°. What is the measure of b?

Answers

Answer:

[tex]B = 134^o[/tex]

Step-by-step explanation:

[tex]n = 6[/tex] --- sides

[tex]A = 170^o[/tex]

[tex]C = 107^o[/tex]

[tex]D = 102^o[/tex]

[tex]E = 117^o[/tex]

[tex]F = 90^o[/tex]

Required

The measure of B

The interior angles of a polygon is:

[tex]Angles = (n - 2) * 180[/tex]

So, we have:

[tex]Angles = (6 - 2) * 180[/tex]

[tex]Angles = 4 * 180[/tex]

[tex]Angles = 720^o[/tex]

The measure of B is calculated using:

[tex]A + B + C + D + E + F = 720[/tex]

Substitute known values

[tex]107 + B + 170 + 102 + 117 + 90 = 720[/tex]

Collect like terms

[tex]B + 107 + 170 + 102 + 117 + 90 = 720[/tex]

[tex]B + 586 = 720[/tex]

Collect like terms

[tex]B = 720 - 586[/tex]

[tex]B = 134^o[/tex]

I NEEDDDD HELPPPP ITSSSS URGENTTTT!!!!!

Answers

Answer: 75.4

Step-by-step explanation:

The equation for the circumference for a circle is diameter times pi. 24 times pi is 75.3982236862. Rounded to the nearest tenth would make it 75.4.

a. 75.4, hope this helps:)

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. A Table titled Trail Mix showing Pounds, Cost, and Total. The first row shows Raisins, with r, 150, and 1.5 r. The second row shows Peanuts, with 5 minus r, 2.50, and 2.5 left-parenthesis 5 minus r right parenthesis. The last row shows Mixture, with 5, blank, and 10.50. Which equation can Jeremy use to determine the amount of raisins in the trail mix? r + 1.50 = 1.5r r + (5 – r) = 5 1.5r + 2.5(5 – r) = 10.50 1.5r + 2.5(5 – r) = 5

Answers

Answer:

The answer us Option C

Step-by-step explanation:

Hope this helps!!

Answer:

C

Step-by-step explanation:

What is the volume of the rectangular prism.

A. 16in. 3
B. 22 1/2in. 3
C. 200 in. 3
D. 212 1/2in. 3

Answers

Answer:

C: 200

Step-by-step explanation:

Just multiply 12.5 x 8 x 2 to get the answer.

Answer:

C. 200 in.^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 12 1/2 * 8*2

V = 25/2 *8*2

  = 25*8

  = 200 in ^3

A pole that is 2.7 m tall casts a shadow that is 1.56 m long. At the same time , a nearby building casts a shadow that is 38.25 m long. How tall is the building ? Round your answer to the nearest meter.

Answers

Set up a ratio of height/ shadow

2.7/1.56 = x/38.25

Cross multiply:

1.56x = 103.275

Divide both sides by 1.56

X = 66.2

Round to nearest meter = 66

Answer: 66 meters

The base of the pyramid is a regular hexagon. Find the volume of the pyramid. Round your answer to the nearest tenth.

pls pls help answer

Answers

Answer:

216.5

Step-by-step explanation:

Pyramid volume=(area of the base)*(height)/3

Pyramid volume=(area of hexagon with side 5)*(height)/3

Area of hexagon is 3*sqrt(3)*(side)^2/2=75*sqrt(3)/2

Pyramid volume=10*(75*sqrt(3))/(2*3)=216.5

Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)

Answers

Answer: 7m⁵ -3m³ - 3

Working:

= (6m⁵ + 3 - m³ - 4m) -(-m⁵ + 2m³- 4m +6)

= 6m⁵ + 3 - m³ - 4m +m⁵-2m³+4m - 6

= 6m⁵ + m⁵-m³ -2m³ -4m + 4m - 6 +3

= 7m⁵ -3m³ - 3

Answered by Gauthmath must click thanks and mark brainliest

Given AB= CD, and mAB = 134 find mCD​

Answers

Answer:

arc CD = 134°

Step-by-step explanation:

Given 2 equal chords in a circle then the minor arcs are equal, that is

arc CD = arc AB = 134°

The value of mCD is 134°.

What is an arc?

The arc is a portion of the circumference of a circle.

Given data as :

chord AB = chord CD, and

mAB = 134°

The minor arcs are equal if there are two similar chords in a circle.

So, arc CD = arc AB

Substitute the value of mAB = 134° in the above equation,

⇒ mCD = 134°

Hence, the value of mCD is 134°.

Learn more about arc of circle here:

brainly.com/question/1577784

#SPJ2

Which ordered pair is the best estimate for the solution of this system of linear equations?
A.(-6, -2)
B.(-3, 2)
C. (4,-4)
D. (6,8)​

Answers

Answer:

B. (-3, 2)

Step-by-step explanation:



Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

? ≈ 37°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{4}{5}[/tex] ) ≈ 37° ( to the nearest degree )

CAN YOU GUYS HELP ME PLS IM FAILING GET THIS CORRECT PLS IM FAILING BADDD ITS PYTHAGOREAN THEOREM

Answers

Answer:

the answer will be 10.81

if.you round of to the nearest tenth then 10.8 feet will be the distance from slide to the monkey bar

1. David and Darlene Jasper have one child, Sam, who is 6 years old (birthdate July 1, 2013). The Jaspers reside at 4639 Honeysuckle Lane, Los Angeles, CA 90248. David's Social Security number is 577-11-3311, Darlene's is 477-98-4731, and Sam's is 589- 22-1142. David's birthdate is May 29, 1986 and Darlene's birthday is January 31, 1988. David and Darlene's earnings and withholdings for 2019 are: David: Earnings from Apple Company (office man

Answers

Answer:

hi

Step-by-step explanation:

a 60kg person climbs stairs of total height of 20m in two minutes calculate the power delivered [g = 10ms^2].​

Answers

Answer:

she's I'll ccgmf

Step-by-step explanation:

for the next day and night and it was so yitd cash check out j vfkcnc gjjx xh

please answer this question!!​

Answers

Answer:

3

Step-by-step explanation:

A = C

6x + 11 = 3x +20

3x = 9

x = 3

Hi! i need some help with this question, you don't need to help with the 2 parts, just any 1. Thank you!!

y varies is directly as 3x – 4, and y = 33 when x = 5
Find:
a) y when x = 2
b) x when y = 15​

Answers

Answer:

See explanation

Step-by-step explanation:

y = k * (3x - 5)

Where,

k = constant of proportionality

y = 33 when x = 5

y = k * (3x - 5)

33 = k * (3 * 5 - 5)

33 = k * (15 - 5)

33 = 15k - 5k

33 = 10k

k = 33/10

k = 3.3

a) y when x = 2

y = k * (3x - 5)

y = 3.3(3 * 2 - 5)

= 3.3(6 - 5)

= 3.3(1)

y = 3.3

b) x when y = 15​

y = k * (3x - 5)

15 = 3.3(3x - 5)

15 = 9.9x - 16.5

15 + 16.5 = 9.9x

31.5 = 9.9x

x = 31.5/9.9

x = 3.18

DOES A TRANSLATION PRESERVE ITS LENGTH, SHAPE, SIZE, AND ORIENTATION? EXPLAIN.

Answers

Step-by-step explanation:

Yes. A translations preserve it's. length, shape,size and orientation. WHY?

, A translation is a rigid transformation so it preserve it physical features of the shape( both pre image and current image).A translation can be used to show if two figures are congruent so it preserve it shape.

Please find the missing number for the surface area. I will mark brainiest if correct. 2.

Answers

It is 18 because it is a square so all the sides have to be the same so that would make it 18

Simplify the square root of –75

Answers

Answer:

5 i √ 3

Step-by-step explanation:

2. The lines shown in the figure are parallel lines cut by a transversal. Angles a and e are:
b
a
d
8
h

Answers

Answer:

Corresponding Angles

Step-by-step explanation:

Angles a and e are corresponding angles and they are also congruent.

tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

proof of basic proportionality theorem ​

Answers

Answer:

Basic proportionality theorem: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. and DE intersects AB and AC at D and E respectively. ... Hence we can say that the basic proportionality theorem is proved.

[tex] \boxed{ \sf \: Basic \: Proportionality \: Theorem \: (BPT)}[/tex]

This theorem states that if a line is drawn parallel || to one side of a triangle ∆ to intersect the other 2 sides in distinct points, the other 2 sides are divided in the same ratio.

From the figure, with the help of this proof, we can see that :-

[tex]\sf \: \frac{AD}{AE} = \frac{AE}{EC} \\ [/tex]

Refer to the attached pictures for the proof & the figure.

_____

Hope it helps.

RainbowSalt2222

Find the value of x in the triangle shown below.

Answers

Answer:

x ≈ 55.5°

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{5}{sinx}[/tex] = [tex]\frac{5.7}{sin70}[/tex] ( cross- multiply )

5.7 sinx = 5 sin70° ( divide both sides by 5.7 )

sin x = [tex]\frac{5sin70}{5.7}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{5sin70}{5.7}[/tex] ) ≈ 55.5° ( to the nearest tenth )

Answer:

[tex]x =55[/tex]°

Step-by-step explanation:

An isosceles triangle is a triangle with two congruent sides. One can see that the given triangle is an isosceles triangle, as two sides have a side length of (5) units. One property of an isosceles triangle is the base angles theorem. This theorem states that the angles opposite the congruent sides of an isosceles triangle are congruent. In this situation, this means that two angles have a measure of (x) degrees. As a given, the sum of angles in any triangle is (180) degrees. Thus, one can form an equation, and solve for the unknown, (x):

[tex]x + x + 70 = 180[/tex]

Simplify,

[tex]2x + 70 =180[/tex]

Inverse operations,

[tex]2x + 70 =180[/tex]

[tex]2x = 110[/tex]

[tex]x =55[/tex]

Find the value of x. Round to the nearest tenth

Answers

Answer:

70.5

Step-by-step explanation:

Refer to attached image

What is the volume of the pyramid below?

Answers

Answer:

we can find volume of a pyramid when we use this formule: area of triangle*high/3

Step-by-step explanation:

let's we put the data (8*6/2)*7/3= (48/2)*7/3=56

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