Mara Is 6, And Her Cousin Alberto Is 20. In How Many Years Will Alberto Be Twice As Old As Mara (2024)

Mathematics High School


Answer 1


8 years.

Step-by-step explanation:

Mara is 6.


Alberto is 20.



In 8 years, Alberto will be twice Mara's age.

Related Questions

Find the value of x. Round the answer to the nearest tenth, if needed.
A. 1.8
B. 6
C. 8
D. 20.3
What’s the value of X?


I think c. 8 hope this helps

The function f(x) is shown on the graph.

What is f(0)?
• 12 only
• -2 and 3 only
• -2, -1, 1, and 2 only
• -2, -1, 1, 2 and 12


Answr should be 12 only




[tex]y=\sqrt[3]{-x}[/tex] and [tex]y=-\sqrt[3]{x}[/tex]

Step-by-step explanation:

The 4th and last one

What is the slope of the line?




slope = Δy/Δx

start at (-1,3) to get to the line from there you can go down 1 ( Δy = -1)

and left 2 (Δx = -2)

-1/-2 = 1/2

Step-by-step explanation:

A bag of M&M's contained 13 red, 15 yellow,
44 brown, 12 orange, and 9 green candies.
What percent of the M&M's were yellow?



1.start by adding all your different m&m colors together
2. Take the number you got from that and divide it by the number of yellow m&m’s

13+15+44+12+9 = 93
93/15 = 6.20%

Mark brainliest



Step-by-step explanation:

Use the percentage formula:

P × V1 = V2


EX: P × 30 = 1.5

P =



= 0.05 × 100 = 5%

what is x in 8 ^ (x - 1 ) = 16 ?

Please help. ​




Step-by-step explanation:

8 ^ (x - 1 ) = 16

We need to rewrite 8 as 2^3 and 16 as 2^4

2^3 ^ (x - 1 ) = 2^4

We know that a^b^c = a^(b*c)

2^(3(x-1)) = 2^4

The bases are the same so the exponents are the same

3(x-1) = 4


3x-3 = 4

Add 3 to each side

3x-3+3 = 4+3

3x = 7

Divide by 3

3x/3 = 7/3


a bag contains 10 white balls and 14 red balls.a ball is taken out of the bag,what is the probability that it is a red ball​




Step-by-step explanation:

10 white balls and 14 red balls = 24 balls

P( red) = number of red balls / total balls



1. Yes, AA~

2. These figures are not similar

3. Yes, SAS~

4. Yes, SSS~



These figures are not similar

Step-by-step explanation:

The two sides are proportional, but the angle between them are not congruent.

One angle is marked with one arc.

The other is marked with two arcs.

They must have the same number or arcs to be considered congruent.




First part: 0.35 miles per minute

Second part: 3.5 miles in 10 minutes

Step-by-step explanation:

Think about this as a fraction. Fractions can't be added nor subtracted unless they share the same denominator. So for this case, we have to turn hours into minutes. So 21 mph becomes 21 miles per 60 minutes. Then, we divide 60 from each side to find the speed per minute. 21/60 = 0.35, so the answer to the first part is 0.35 miles per minute.

Using what we got, we can answer the second part of the distance covered in 10 minutes. So, we just multiply 0.35 by 10 which is 3.5 miles covered in 10 minutes.

Basic Cable Company A charges $30 per month plus a setup fee of $75. Basic Cable Company B charges $40 per month, but due to a special promotion is not currently charging a setup fee. Write an equation for each cable company modeling the total cost y for a subscription lasting x months. When is it more economical for a person to choose Basic Cable Company B over Basic Cable Company A



Basic Cable Company A= 30x + 75

Basic Cable Company B= 40x

After 7.5 months, it's more economical to go with Company A. Before 7.5 months, Company B is cheaper

Step-by-step explanation:

(-6)+(-1)+4+9+...+64 sequence




Step-by-step explanation:


U have to times add subtract any of the numbers well what ever numbers u have to do for that and then u add the numbers without the brackets and always put the numbers in brackets first!! Always!!

What type of line is PQ?

A. angle bisector
B. altitude
C. median
D. side bisector



Step-by-step explanation:

PQ is the height of the triangle, which is also known as the altitude.

In given triangle PRS, the line PQ is an altitude. So, correct option is B.

An altitude is a line segment drawn from a vertex of a triangle perpendicular to the opposite side. In this case, point Q lies on side RS and forms a right angle with point P. Therefore, line PQ is drawn from vertex P to side RS at a right angle, making it an altitude.

Altitudes have significant properties in triangles. They intersect at a point called the orthocenter, which is a crucial point in various geometric constructions and proofs. Additionally, altitudes help in determining the lengths of sides and can be used to find areas of triangles.

In summary, the line PQ in triangle PRS is an altitude as it is drawn from the vertex P perpendicular to the side RS. This line plays a fundamental role in triangle geometry and can aid in various calculations and constructions.

So, correct option is B.

To learn more about line click on,


What number added to 23 equals 41?


Whatever 41-23 equals and that’s the answer


1. x + 23 = 41

2. x = 18; solution is 18

Step-by-step explanation:

We can translate the question into an equation. Because the question is asking to find a specific number we don't know the value of, let that unknown number be a variable; x. We know, from the information given in the question, that x added to 23 is equal to 41. When we're adding a number to another number, we use the + symbol. So far, we have x + 23. Now, the last part says "equals 41". We can imply when something equals another thing, we use the = sign. Then, we're left with the equation: x + 23 = 41.

To solve for this equation:

x + 23 = 41

Subtract 23 from both sides:

x + 23 - 23 = 41 - 23

x = 18

Therefore, our solution is 18.

Randy has to raise $50.00 to repair his bicycle. He is only $1.00 short. He has only $1 and $5 bills. If he has one more $1 bills than $5 bills, how many does he have of each?



Randy has eight $5 bills and nine $1 bills

Step-by-step explanation:

Randy needs $50.00

And we know that he his only $1.00 short, so he has $49.00

let's define:

x = number of $1 bills that he has

y = number of $5 bills that he has.


x*$1 + y*$5 = $49

We know that he has one more $1 bills than $5 bills.

we can write this as

x = y + 1

So we have a system of two equations and two variables:

x*$1 + y*$5 = $49

x = y + 1

First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:

x*$1 + y*$5 = $49

(y + 1)*$1 + y*$5 = $49

now we can solve this for y.

y*$1 + $1 + y*$5 = $49

y*($1 + $5) = $49 - $1 = $48

y*$6 = $48

y = $48/$6 = 8

He has 8 $5 bills

and we know that:

x = y + 1

x = 8 + 1 = 9

he has 9 $1 bills.

Horizontal and parallel lines e and f are cut by transversals c and d. All angles are described clockwise, from uppercase left. At the intersection of lines e and c, the angles are: 1, 2, 4, 3. At the intersection of lines f and c, the angles are 5, 6, 8, 7. At the intersection of lines e and d, the angles are: 9, 97 degrees, 12, 11.

At the intersection of lines f and d, the angles are 13, 14, 16, 15.

What is the measure of Angle15?
A. mAngle15 = 77°
B. mAngle15 = 83°
C. mAngle15 = 93°
D, mAngle15 = 97°




Step-by-step explanation:


2) John saved $5 in the first week of a year and then increased her weekly
savings by $1.75. If the nth week, her weekly savings become $20.75, find n.



n = 9

Step-by-step explanation:

20.75 = 1.75n + 5

20.75 - 5 = 1.75n

15.75 = 1.75n

------- -------

1.75 1.75

9 = n

How to find the area of this figure pls?


6 x 10 should be the answer

Find DC, given that line AD is the angle bisector of < CAB.




Step-by-step explanation:


because line AD is a bisector of CAB

Dividing line CAD into two equal half's

What is the average rate of change in the area as the radius changes from 2.5 to 5.5 feet?


The answer would be 4.2

The momentum of a variable is represented by the rate of change. The average rate of change in the area as the radius changes from 2.5 to 5.5 feet is 25.1327ft² per ft.

What is the rate of change?

The momentum of a variable is represented by the rate of change, which is used to quantitatively express the percentage change in value over a specific period of time.

The area of the circle when the radius of the circle is 2.5 feet is,

Area of circle = π × (2.5 feet)²

= 19.635 ft²

The area of the circle when the radius of the circle is 5.5 feet is,

Area of circle = π × (5.5 feet)²

= 95.0332 ft²

Now, the average rate of change in the area as the radius changes from 2.5 to 5.5 feet is,

Average rate of change = (Change in the area)/(Change in radius)

= (95.0332 ft² - 19.635 ft²) / (5.5 ft - 2.5 ft)

= 25.1327ft² per ft

Hence, the average rate of change in the area as the radius changes from 2.5 to 5.5 feet is 25.1327ft² per ft.

Learn more about Rate of Change here:


1. Shoe B was created by rotating Shoe A counterclockwise about a fixed point. How many degrees was the shoe rotated?




Step-by-step explanation:

Rotation counterclockwise means the rotating an object over a fixed point in the opposite direction of our normal wall clock.

To get exact position of shoe B, shoe A would be rotated in about 90° in the opposite direction of a clock.

Thus, shoe A was rotated 90° about a fixed point to create shoe B.

Choose the correct translation for the given statement.

It must exceed ten.

A. x ≤ 10
B. x > 10
C. x ≥ 10
D. x < 10



x > 10

Step-by-step explanation:

It must exceed ten.

Exceed: be greater

Solution: x > 10


Given Statement:- The Number Must Exceed 10

Therefore, it means that the numbers are greater than 10

So Correct Option Will Be

B x > 10

Hope This Helps You

The graph shows a line and two similar triangles.

On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.

Which expression finds the equation of the line?
StartFraction y Over x EndFraction = three-halves
StartFraction y Over x EndFraction = two-thirds
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction


Answer: Choice B) [tex]\frac{y}{x} = \frac{2}{3}[/tex]

This is the same as saying y/x = 2/3

Or I suppose you could say "y over x = two-thirds".



Recall that slope is rise over run

slope = rise/run

The rise being the change in y, while the run is the change in x.

So we could informally think of it as slope = y/x


Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.

The slope is both y/x and also 2/3.

Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.


Side notes:

This trick only works when the line goes through the origin (0,0)To rephrase the last bullet point, the line must have y intercept 0.If you multiplied both sides by x, then you get y = (2/3)x



Step-by-step explanation:


Calculate expression value : G = 2x^3 + 35x^2 + 15x + 1 with x = -17


I got G= -20195

Not sure if this is correct the question was a little confusing


G = -20195

Step-by-step explanation:

G = 2x^3 + 35x^2 + 15x + 1 where x = -17

Substitute all the x’s for -17!

G = 2(-17)^3 + 35(-17)^2 + 15(-17) + 1

Solve for the exponents first!

G = 2(-4913) + 35(-289) + 15(-17) + 1


G = -9826 + -10115 + -255 + 1

Add -9826 + -10115

G = -19941 + -255 + 1

Add -19941 + -255

G = -20196 + 1

Add -20196 + 1

G = -20195

If in the equation [ 4/t-1 = 2/w-1 ] t ≠ 1 and w ≠ 1, then t =
a) 2w-1
b) 2(w-1)
c) x-2
d) 2w



OPTION A is the correct answer...

find the equation of a line passing through (3,4) and slope of -2


Answer: 2x + y = 10

Step-by-step explanation: When we're given a point and a slope, we can use the point-slope formula to write the equation of a line.

The point-slope formula is y - y₁ = m(x - x₁).

Now we can substitute our point and our slope into the formula.

y - 4 = -2(x - 3)


y - 4 = -2x + 6

~isolate y

y = -2x + 10

~put into standard form

2x + y = 10



Step-by-step explanation:

To find the equation in forms of y=mx+b, first we must put in the slope(or m) which is -2, so we have:

y = -2x+b

Now, we can find the y intercept(or b) by plugging in our x and y values that the line passes through:

4 = -2(3)+b

4=-6 + b

10 = b so we have y = -2x+10

Decide whether the relation is a function or not.
{(-3, 5), (-2, 5), (0, 5), (1, 5), (2, 5)}



[see below]

Step-by-step explanation:

A functions input is assigned to exactly one output. This means that the inputs must not repeat.

{(-3, 5), (-2, 5), (0, 5), (1, 5), (2, 5)}

Since no inputs repeat, the relation given is a function.

Hope this helps.


Yes, it's a function.

Step-by-step explanation:

X or input no repeated.

A 90 ° angle is divided into 2 angles.
Find the size of the angles.
5x+10 and 6x-41



So required ans is 5*11+10=65 6x-41=25

Step-by-step explanation:

You can do as,







A parabola can be represented by the equation y2 = 12x.
Which equation represents the directrix?
O y=-3
O y=3
O X=-3
O x= 3



It's C

X = -3

Step-by-step explanation:

Edge 2022

The equation represents the directrix is x=-3.

the correct option is (C).

what is directrix in parabola?

A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

given: y²=12x


Here a=3

So, x+a=0



Hence, the directrix of parabola is: x=-3

Learn more about directrix here:


A used car costs $13420. It is on sale for 10% off. How much will you pay after 13% sales tax?​




Step-by-step explanation:

Cost of a used car = $13420

Sale discount = 10%

Sales tax = 13%

Amount of discount = 10% of $13420

= 10/100 * $13420

= $1,342

Amount of sales = Cost of a used car - Amount of discount

= $13420 - $1,342

= $12,078

Amount of tax = 13% of sale amount

= 13/100 * $12,078

= 0.13 * $12,078

= $1,570.14

Total sale price = Amount of sales + Amount of tax

= $12,078 + $1,570.14

= $13,648.14

X and Y are in partnership with capital contributions of $50000 and $30000 respectively.
The partnership agreement provides that profits are to be shared in proportion to capital
contributions and each partner is entitled to 10% interest on capital.
Profit for the year was $37000.
What was the total amount credited to Y’s current account at the end of the year?
A $10875 B $13875 C $18125 D $23125



The correct answer is B. $13,875.

Step-by-step explanation:

Since X and Y are in partnership with capital contributions of $ 50000 and $ 30000 respectively, and the partnership agreement provides that profits are to be shared in proportion to capital contributions and each partner is entitled to 10% interest on capital, and profit for the year was $ 37000, to determine what was the total amount credited to Y’s current account at the end of the year the following calculation must be performed:

50,000 + 30,000 = 80,000

80,000 = 100

30,000 = X

30,000 x 100 / 80,000 = X

37.5 = X

37,000 x 0.375 = X

13.875 = X

Mara Is 6, And Her Cousin Alberto Is 20. In How Many Years Will Alberto Be Twice As Old As Mara (2024)


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