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.

Hope this answer helps you..!!

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Select this answer as the BRAINLIEST

Related Questions

find the missing side.​

Answers

Answer:

33.4

Step-by-step explanation:

tan50 = x/28

x =28tan50 = 33.3691 = 33.4 (nearest tenth)

find the area of given figure

Answers

Hi is the 7cm for the entire length if it’s not
Here’s the answer
Firstly, we have two rectangles. The measurements for the rectangle in the left are 2cm and 3cm. Formula for area is b(h), so 2*3 is 6cm^2. Next, the measurements for the rectangle in the right is 7*6. This is 42cm^2. If we add our answers, we get 48cm^2.

Alternatively, this is going to be hard to explain, but you can add 2 and 7 to get 9cm. 9*3 gives us 27cm^2. Then, we can subtract 3 from 6 to give us 3. 3*7 is 21cm^2. 21+27 is 48cm^2. Same answer, different ways to solve them.

The answer is 48 centimeters squared.

please help
solve for u
5u^2=-3u+2

Answers

U=-2/5, 1, hope this helps!

Why is Triangle MAE congruent to Triangle TON

Answers

The most significant difference between the static and current electricity is that in static electricity the charges are at rest and they are accumulating on the surface of the insulator. Whereas in current electricity the electrons are moving inside the conductor.

Hope this helps I don't even know if your looking for this.

The sum of two numbers is 75. If one exceeds the other by 35, find the numbers.

Answers

Answer:

20 and 55

Step-by-step explanation:

Let's assume, we have two numbers 'x' and 'y'.

Now, all we know is:

one number exceeds the other by 35 (i.e  their difference is 35)sum of two numbers is 75

So we form two equations:

x + y = 75_____(i)

and x - y =  35

so, x = y+35 _____(ii)

Put the value of x from (ii) into (i)

x + y = 75

y + 35 + y = 75

2y = 40

y = 20

Put value of y back in (ii)

x = y+35

x = 20 + 35

x = 55

The first number is 20, and the second number is 55.

Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.

Let's assume the first number is x.

According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).

The sum of the two numbers is given as 75, so we can set up the equation:

x + (x + 35) = 75

Simplifying the equation, we get:

2x + 35 = 75

Subtracting 35 from both sides:

2x = 40

Dividing both sides by 2:

x = 20

Therefore, the first number is 20, and the second number is (20 + 35) = 55.

Learn more about numbers click;

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Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-third, 7 and one-third). What is the distance from Layana’s home to the store?

4 units
8 and two-thirds units
10 units
14 and two-thirds units

Answers

Answer: Distance = 4

Step-by-step explanation:

Concept:

Here, we need to know the concept of the distance formula.  

The distance formula is the formula, which is used to find the distance between any two points.  

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Find the distance from Layan's house to the store, where:

L (Layana) (2 2/3, 7 1/3)S (Store) (-1 1/3, 7 1/3)

[tex]Distance = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}[/tex]

[tex]Distance = \sqrt{(-1\frac{1}{3} - 2\frac{2}{3} )^2+(7\frac{1}{3} -7\frac{1}{3} )^2}[/tex]

[tex]Distance = \sqrt{(-4)^2+(0)^2}[/tex]

[tex]Distance = \sqrt{16+0}[/tex]

[tex]Distance = \sqrt{16}[/tex]

[tex]Distance = 4[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

A

Step-by-step explanation:

Did the test sorry I'm late

PLEASE HELP!
Part C
What if the first six-sided die is replaced by an eight-sided die. How can you change the table to show the sample space for rolling an eight-sided die and then a six-sided die? Explain.

Answers

Answer:

If the first die is changed from a six-sided to an eight-sided die, add two rows to the bottom of the table and number them 7 and 8.

Step-by-step explanation:

Answer:

If the second die is changed from a six-sided to an eight-sided die, add two columns to the right of the table and number them 7 and 8.

Step-by-step explanation:

Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees. What is the value of x?

Answers

The triangle is missing and so i have attached it.

Answer:

x = 93°

Step-by-step explanation:

From the triangle attached, we can say that;

<SQP + <SQR = 180°

This is because sum of angles on a straight line equals 180°.

Secondly, we know that sum of angles in a triangle also equals 180°.

Thus;

<SQR + <QSR + <SRQ = 180

From the attached triangle, we see that;

<QSR = 35°

<SRQ = 58°

Thus;

<SQR + 35° + 58° = 180°

<SQR + 93° = 180°

<SQR = 180° - 93°

<SQR = 87°

From earlier on, we saw that;

<SQP + <SQR = 180°

Plugging in <SQR = 87°, we have;

<SQP + 87° = 180°

<SQP = 180° - 87°

<SQP = 93°

We are told in the question that <SQP is denoted by x.

Thus;

x = 93°

Answer:

The value of x is answer D: 93

Answer hurry which one 1 2 3 or 4?

Answers

Answer:

Option: 1

Step-by-step explanation:

Let,

Footprints that Adele will find be = f

So, Footprints that Yumiko finds = 2f = f + f

Since,

As given that,

Yumiko finds 16 Footprints so it will be,

2f = f + f = 16

And,

f = 16 / 2

= 8

Which is half of Footprints found by Yumiko.

So the bar model 1 represents it correct.

Answer:

option 1

Step-by-step explanation:

i did the quiz

Suppose that there were a strong correlation between the variables d & f. Which of there is a true statement

Answers

Answer:

d may cause f.

Step-by-step explanation:

Here are the options

d must not cause f.

f must cause d.

d must cause f.

d may cause f.

Correlation is a statistical measure used to measure the relationship that exists between two variables.

1. Positive correlation : it mean that the two variables move in the same direction. If one variable increases, the other variable also increases.

For example, there should be a positive correlation between quantity supplied and price

When there is a positive correlation, the graph of the variables is upward sloping

2. Negative correlation :  it mean that the two variables move in different direction. If one variable increases, the other variable decreases.

For example, there should be a negative correlation between quantity demanded and price

When there is a negative correlation, the graph of the variables is downward sloping

3. Zero correlation : there is no relationship between the variables

Find the distance between the two points.
(5,5)
(2.2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer:

[tex]{18}[/tex]

Step-by-step explanation:

[tex] \sqrt{(2 - 5) {}^{2} + ( 2 - 5) {}^{2} } [/tex]

[tex] = \sqrt{( - 3) {}^{2} + ( - 3) {}^{2} } [/tex]

[tex] = \sqrt{9 + 9} [/tex]

[tex] = \sqrt{18}[/tex]

Answered by GAUTHMATH

helppppppppppppppppppppppppppp

Answers

Answer:

28° because this is an isosceles triangle, and isosceles triangles have congruent base angles.

Answer:

A or 28

Step-by-step explanation:

Cause if both of the sides is 6, than that means that its equal. So 28 on one side and 28 on the other.

which linear inequatly is represented by the graph

Answers

Answer:

5

Step-by-step explanation:

Find the value of x in Circle O.

Answers

Answer:

x=8

Step-by-step explanation:

x^2+15^2=17^2, x=sqrt(64)=8

A square has area x cm^2, and perimeter of x cm . What is the value of x?

Answers

Let the perimeter be 100cm

Then value of x = 100/4

x = 25cm

Answered by Gauthmath must click thanks and mark brainliest

In need of help asaappppp

Answers

Answer:

8 and 6 is the answer.......

Answer: Option C.

Step-by-step explanation: any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are corresponding angles .

To solve the equation -4m = 8, you would _______ -4 on both sides of the equation.
a - multiply by
b - divide by
c - add
d - subtract

Answers

Answer:

divide by

Step-by-step explanation:

-4m = 8

Divide each side by -4

-4m/-4 = 8/-4

m = -2

Giải pt: 1 + 2sinxcosx = sinx + 2cosx

Answers

Answer:

even i dont know can help

NEED HELP ASAP, find the value of X

Answers

Answer:

C

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

DK × KB = AK × KC , substitute values

12(4x + 1) = 14(3 + 3x) ← distribute parenthesis on both sides )

48x + 12 = 42 + 42x ( subtract 42x from both sides )

6x + 12 = 42 ( subtract 12 from both sides )

6x = 30 ( divide both sides by 6 )

x = 5 → C

When my mother buys washing powder she pays R45,65 for a 3kg bag hkw much does she pay for 1kg​

Answers

To solve this divide 4565 by 3.

Step-by-step explanation:

pricr of 1 kg powder= 4465/3

=1521.66

Emily puts away basketballs after the gym class. there are 15 basketballs, and each rack holds 4 basketballs. how many racks does Emily completely fill? How many basketballs are left?

Answers

Emily would completely fill 3 racks of baskets balls and she would have 3 basketballs left over.

4(number of basketballs each rack can hold) multiplied by 3 is equal to 12. Meaning 12 of the 15 basketballs will be able to go on a rack, and there would be 3 left over.(subtract 15-12 and you will get 3)

Answer:

emily fills 3 racks

3 basketballs are Left!

Step-by-step explanation:

15/4 = 3.3

Rationalize the denominator and simplify:
a) (√3 - √2)/( √3+√2)
b) (5+2√3)/(7+4√3)
c) (1+√2)/(3 - 2√2)

Answers

Answer:

A) (√3-√2)/(√3+√2)

Step-by-step explanation:

i think so

find the missing side lengths​

Answers

Cos( 30 ) = 19√3 / x

√3 / 2 = 19√3 / x

Simplify 3 from both sides

1 / 2 = 19 / x

Multiply both sides by x

1 /2 × x = 19 / x × x

x / 2 = 19

Multiply both sides by 2

x / 2 × 2 = 19 × 2

x = 38

_____________________________

Sin( 30 ) = y / x

1 / 2 = y / 38

Multiply both sides by 38

38 × 1 / 2 = 38 × y / 38

38 / 2 = y

19 = y

y = 19

Navel Laser and Midoriya are doing target practice. In the first round Navel laser scored no points, but in the second round he scored “x” amount of points. In their third round, he scored 8 more points than the second. Now in the last round, he scored three times as many points as the third. Altogether Navel Laser scored 117 points!!! How many points did the Navel Laser score in each round?

Answers

Answer:

Round 1 = 0 points

Round 2 = 17 points

Round 3 = 25 points

Round 4 = 75 points

Step-by-step explanation:

Determine how many points will be scored in each round in correspondence to the variable 'x':

Round 1:

0(x)

Round 2:

x

Round 3:

x+8

Round 4:

3(x+8)

We know that the sum of all points made in all rounds is 117. Using this information, we can make an equation:

0(x)+x+(x+8)+[3(x+8)]=117

Now, we solve for x:

x+x+8+3x+24=117

5x+32=117

5x=117-32

5x=85

[tex]\frac{5x}{5} =\frac{85}{5}[/tex]

x=17

Now we substitute the calculated value for x in each round:

Round 1:

0(17)=0

Round 2:

(17)=17

Round 3:

(17)+8= 25

Round 4:

(25)*3=  75

Find the area of the following triangle. Round your answer to the nearest tenth.

Answers

Answer:

45.0

Step-by-step explanation:

you are going to multiple them you are going to have 45 then to the nearest tenth which is 45.0

Area = 1/2absinC
= 1/2(9)(5)sin(107 °)
= 21.5

Area for right-angled triangle use : A=1/2bh

How high up the wall can a 12-foot ladder reach if its base is 4 feet from the wall? Round your answer to the nearest tenth of a foot if necessary.


Answers

Answer:

11.3 feet

Step-by-step explanation:

let x= answer

x²+4²=12²

x²=128

x=11.3137085

which rounds to

11.3

Answer:

11.3 ft.

Step-by-step explanation:

In order to solve this, we must use some trigonometry, in this case, SOH-CAH-TOA. If you don't know what it is, here's a quick explanation:

- SOH: Sin(θ) = Opposite / Hypotenuse

- CAH: Cos(θ) = Adjacent / Hypotenuse

- TOA: Tan(θ) = Opposite / Adjacent

(Remember, SOH-CAH-TOA can ONLY be used for right triangles. If the problem does not clearly show a right triangle, meaning that there's no box in the corner, you cannot use it)

When using SOH-CAH-TOA, we first must choose an angle, either the top one or the bottom one. We can't use the right angle as, well, you just can't :). First, we have to find the bottom angle, so circle it. Literally, just circle the angle, you'll thank me later. I'll explain why we don't solve the top angle later on.

After that, we just do some labeling on the sides of the triangle. First, label the shortest side that forms the circled angle, which is the floor (4 ft), as the Adjacent side. Then label the longest side of the triangle, which is the ladder (12 ft), as the Hypotenuse. Finally, label the side that doesn't form the circled angle as the Opposite side. This is why the circling comes in handy :)

Then, out of SOH, CAH, and TOA, we choose the one that has the sides that forms the circled angle. In this case, it's CAH, or cosine, as the adjacent and hypotenuse form the circled angle.

Next, we write out the formula and solve:

Cos(m∠Circled Angle) = Adjacent/Hypotenuse

Cos(m∠Circled Angle) = 4/12

Cos(m∠Circled Angle) x Cos^-1 = 1/3 x Cos^-1

m∠Circled Angle ≈ 70.5288 (Rounding to the nearest ten-thousandth)

Note: Pay attention to the 3rd line. 'Cos^-1' is basically the equivalent of '÷ Cos'.

The reason why we did the bottom angle first is because you cannot have two unknown variables when solving for one of them. That would've been the case if we did choose the top angle as we wouldn't know the measure of the wall nor the angle. Now that we have solved the bottom angle, we can move onto solving the length of the wall.

Looking at SOH-CAH-TOA, we can either use sine or tangent as we have the measures for both the adjacent and hypotenuse. I'll use sine cause why not? Anyways, let's move on!

Just like last time, we write out the formula and solve:

Sin(m∠Circled Angle) = Opposite/Hypotenuse

Sin(70.5288) = Opposite/12

0.9428 = Opposite/12

0.9428 x 12 = Opposite/12 x 12

11.3137 ≈ Opposite (Wall)

Wall ≈ 11.3 ft. (Rounding to the nearest tenth, as asked to do so by the problem)

Note: Be careful with SOH-CAH-TOA because I've messed up multiple times with my calculator while typing out my explanation, so just make sure you go over it several times before submitting your answer when solving trig problems :). But I'm confident with my answer, so just submit it without hesitation as I've already double-checked my work.

If each month in a year was paired with all the possible numbers of days in the month will the result be a function? Explain

Answers

Using the function concept, it is found that the result would not be a function, as for each month, there would be multiple possible number of days.

What is the condition for a relation to represent a function?

In a function, one value of the input can be related to only one value of the output.

In this problem, the input is the month and the output is the possible number of days in the month.

Since there is a month with either 28 or 29 days, and the other months have either 30 or 31 days, the are multiple outputs for each input, hence, the result is not a function.

You can learn more about the function concept at https://brainly.com/question/12463448


What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1,-4) and D(-5, -4)?

Answers

[tex]\huge\underline\blue{✏ANSWER}[/tex]

(no answer found.)

(maybe can found on other apps?)

#BrainliestBunch

Answer:

12

Step-by-step explanation:

1) Vector AB (-2-(-6); -1-(-1))= (4; 0). Vector module is module AB=sqrt (4*4+0*0)= 4

2) The module of Vector BC is sqrt((-1-(-2))*(-1 - (-2))+ (-4-(-1))* (-4-(-1))= sqrt (9+1)= sqrt 10.

3) The module of AC is sqrt ((-1-(-6))*(-1-(-6))+ (-4-(-1))*(-4-(-1))= sqrt (25+9)= sqrt 34.

4) Having the triangle with the sides AB, BC, AC use the theorem of cos:

sqrt34*sqrt34= sqrt 10*sqrt 10 + 4*4- 2*sqrt10*4*cosB

34-10-16= -8 sqrt 10*cosB

c0sB= (-1)/ sqrt10

5) Find out sinB that is equal to Sqrt (1- ((-1)/sqrt 10)* ((-1)/sqrt10))= sqrt (9/10)= 3/sqrt10.

6)S= 4*sqrt10*3/sqrt10= 4*3=12. The area is equal to 12.

What is the slope, in its most simplified form, of the line that contains (1, 3) and (5, 9)

Answers

Answer:

The slope is 3/2

Step-by-step explanation:

Use the Slope-Formula to identify the slope

Slope = change in y/change in x

Slope = (y2 - y1)/(x2 - x1)

Points: (1, 3) and (5, 9)

Slope = (9 - 3)/(5 - 1)

Slope = 6/4

Slope = 3/2

Solve the equation for all values of x.
(22 – 16)(2x2 + 49) = 0
Help please

Answers

Answer:

7i/sqrt(2)

Step-by-step explanation:

so, if I understand correctly, the equation is

(22-16)(2x² + 49) = 0

6(2x² + 49) = 0

that automatically means

2x² + 49 = 0

2x² = -49

x² = -49/2

x = sqrt(-49/2)

a square root of a negative number has no real solution. the solution is in the world of complex and imaginary numbers, which bases on the sqrt(-1) = i.

so, we get

x = sqrt(49/2 × -1) = (7/sqrt(2)) × I = 7i/sqrt(2)

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