If Alex is 14 years old, and Ben is 17 years old, in how many years will the sum of their ages be 169 years?

Answers

Answer 1

Answer:

69 years

Step-by-step explanation:

Sum of Alex's and Ben's current age

= 14 +17

= 31 years

For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.

Difference in the sum of their ages

= 169 -31

= 138 years

Number of sets of 2 years

= 138 ÷2

= 69

Thus, the sum of their ages will be 169 in 69 years.


Related Questions

10(11a) what is the answer need help ASAP

Answers

[tex]10(11a) \\ multiply \: \: \: 10 \: \: \: by \: \: \: 11a \\ = 10 \times 11a \\ 110a[/tex]

Answer:

110a

Hope you could get an idea from here.

Doubt clarification - use comment section.

Ok done. Thank to me :>

Statsssssssssssssssssssssssssssss

Answers

the answer is b = 6.

The x-value of the vertex of f(x) = x2 - 10x + 3 is

Answers

Answer:

x- coordinate = 5

Step-by-step explanation:

Given a parabola in standard form , f(x) = ax² + bx + c ( a ≠ 0 ) , then

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - 10x + 3 ← is in standard form

with a = 1 , b = - 10 , then x- coordinate of vertex is

x = - [tex]\frac{-10}{2}[/tex] = 5

A store owner has a total of 87.95 lbs of
flour. If she puts the same amount of flour in
7 jars, how many pounds of flour will each
jar contain?

Answers

Answer:

12.56

Step-by-step explanation:

87.95 divided by 7

Step-by-step explanation:

Total amount of flour = 87.95lbs

Amount of flour in each jar = 87.95 ÷ 7 = 12.56

Desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente. La hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s. ¿A qué distancia del punto A se encontrarán y en cuánto tiempo? Traza una recta que represente el desplazamiento de cada una de las hormigas.

Answers

Ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Dado que desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente, y la hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s, para determinar a qué distancia del punto A se encontrarán y en cuánto tiempo se debe realizar el siguiente cálculo:

10 x 15 = 1506 x 15 = 90150 + 90 = 240

Por lo tanto, ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Aprende más en https://brainly.com/question/18500585

x² – 2xy + y², x² + 2xy + y², 4x² – xy + y², x² – y²​

Answers

Answer:

[tex]\left(4x^2-xy+y^2\right)\cdot \left(x+y\right)^2\cdot \left(x-y\right)^2\\[/tex]

Step-by-step explanation:

Janessa recently increased the size of his Jeep tires from the original P230/85R18 to the larger P250/85R21. If Janessa didn’t recalibrate her odometer, how far did she really travel on the new tires when her odometer shows she has traveled 23425 miles?

Answers

The distance Janessa traveled on the new tires with the given size is 26,470.25 miles.

The given parameters:

Original size of the tire, = P230/85R18The width of the smaller tire, = 230 mmAspect ratio, = 85%Larger size of the tire, = P250/85R21The width of the larger tire, = 250 mmAspect ratio, = 85%Reading of the odometer = 23,425 miles

The diameter of the smaller tire is calculated as follows;

[tex]0.85 = \frac{h}{230} \\\\h = 0.85 \times 230 \\\\h = 195.5 \ mm\\\\h = 195.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 7.7 \ in[/tex]

diameter of the smaller tire;

D = 2(7.7 in)  + 18 in

D =  33.4 in

The circumference of the smaller tire;

[tex]C_1 = \pi D\\\\C_1 = 3.142 \times 33.4 \\\\C_1 = 104.94 \ in[/tex]

The diameter of the larger tire is calculated as follows;

[tex]0.85 = \frac{h}{250} \\\\h = 0.85 \times 250 \\\\h = 212.5 \ mm\\\\h = 212.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 8.37 \ in[/tex]

diameter of the larger tire;

D = 2(8.37 in)  + 21 in

D =  37.74 in

The circumference of the larger tire;

[tex]C_2 = \pi D\\\\C_2 = 3.142 \times 37.74 \\\\C_2 = 118.58 \ in[/tex]

After one rotation, the larger tire will travel the following distance more than  the smaller tire;

[tex]n = \frac{C_2}{C_1} = \frac{118.58}{104.94} = 1.13[/tex]

The distance Janessa traveled on the new tires when her odometer shows she has traveled 23425 miles;

[tex]distance = 1.13 \times 23,425\\\\distance = 26,470.25 \ miles[/tex]

Learn more about tire sizes and distance traveled: https://brainly.com/question/4822144

HELP ASAP! QUICK ALGEBRA 20 POINTS!!!!!!! WILL AWARD BRAINLIEST

Answers

Answer:

On the first image: if 45 divides the number, it means you can rewrite it as 45 times something. Let's play with powers of 9 to see if you can make a 45 or rewrite it as a product of a power of 9 and a power of 5.

On the second and third images, it's just a matter of collecting common factors. I collected the minus sign so the parenthesis starts with a positive term, but it's a matter of personal preference.

What is a 15% tip on a meal that costs $38.40?

Answers

so first u need to find 15% of $38.40 so that will be $5.76 (0.15x38.40) !

Answer:

its $5.76

Step-by-step explanation:

because $38.40 / 15 is $5.76

A shed has dimensions of 12m in length and 5 m in width. Both the length and
width are increased by the same amount in order to increase the floor area by
more than double the original area. What is the amount of the increase in length?

Answers

Answer:

Length = 24

Step-by-step explanation:

It says, " Both the length and  width are increased by the same amount..." this means that both 12m and 5m were increased. So 12 + 12 = 24 and 5 + 5 = 10.

lol Looks like someone has the same math assignment as me

How do you solve for x?
[tex] log_{6}(36) = 5x + 6[/tex]

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

The value of x is ~

[tex] -0.8 [/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve for x ~

[tex] \sf \: log_{6}(36) = 5x + 6[/tex]

[tex] 2 = 5x + 6[/tex]

[tex]5x = 2 - 6[/tex]

[tex]x = - 4 \div 5[/tex]

[tex]x = - 0.8[/tex]

I hope it helped ~

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

The value of x in the given equation is [tex]-\frac{4}{5}[/tex]

From the question,

We are to solve the given equation

The given equation is

[tex]log_{6}(36) = 5x +6[/tex]

This becomes

[tex]log_{6}(6^{2} ) = 5x +6[/tex]

From one of the laws of logarithms, we have that

[tex]log_{x}(x^{2} ) = 2log_{x}(x)[/tex]

and

[tex]log_{x}(x) = 1[/tex]

∴ [tex]log_{6}(6^{2} ) = 5x +6[/tex] becomes

[tex]2log_{6}(6) = 5x +6[/tex]

and

[tex]2(1)= 5x +6[/tex]

[tex]2 = 5x +6[/tex]

Now, subtract 6 from both sides

[tex]2-6 = 5x +6-6[/tex]

[tex]-4 = 5x[/tex]

∴ [tex]x = -\frac{4}{5}[/tex]

Hence, the value of x in the given equation is [tex]-\frac{4}{5}[/tex]

Learn more on solving equations here: https://brainly.com/question/11802986

sin^2 θ - secθcosθ + cos^2 θ =

Answers

Answer:

0

Step-by-step explanation:

sin²θ + cos²θ = 1

secθcosθ = (1/cosθ)cosθ = 1

1 - 1 = 0

Tara wants to put a white fence aroung the yard including the garden. Write an
expression for the perimeter of her yard (including the garden).
Then simply the expression.

Answers

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.

 

The amount of fencing needed is 2(6) + 2(12) = 12 + 24 = 36 ft of fencing

Mark used 14 bananas, 15 oranges, and 24 strawberries in his fruit salad.
Dani used 7 bananas, 9 oranges, and 12 strawberries. Did Mark and Dan
use the same ratio of bananas to strawberries? *

Answers

Answer:

yes-

Step-by-step explanation:

im not to sure if its right but

7+7=14

12+12=24

Goran runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?

Answers

Answer:

he can run 4.2 miles

Step-by-step explanation:

rate=distance/time

6 miles/50min =3/25 miles per min

rate=distance//time

3/25=distance/35

3/25 * 35 =distance

4.2 =distance

It costs 3 tickets to play a game at the fair. If you spent 21 tickets on the game, which equation could you use to solve for the number of games, g?

Answers

Answer:

3×g=21

..............

A+b/a-b =5/3 what are the following ratios? a+b/3b

Answers

(a + b)/(a - b) = 5/3
Cross multiply.
5(a - b) = 3(a + b)
5a - 5b = 3a + 3b
5a - 3a = 5b + 3b
2a = 8b
a = 4b
a/b = 4/1

Help with the answer

Answers

Answer:

3 6/7

Step-by-step explanation:

Absolute value is the distance a number is away from 0 on a number line; another way of thinking about absolute value is that it is the positive version of every number. So, the absolute value of -1 is 1, and the absolute value of 88 is 88. We can apply this rule to 3 6/7 - how far is it away from 0 on the number line? What is it as a positive number? Well it is 3 6/7 away from 0 on the number line, and it already is positive, so our final answer will be 3 6/7.

Hopefully that's helpful! :)

[tex]|3\frac{6}{7}|=3\frac{6}{7} =\frac{27}{7}[/tex]

ok done. thank to me :>

I need the answer for this ASAP

Answers

Answer:

Y is cookies x is cupcakes

for the first birthday party: 20x + 40y = 61

For the second party 30x + 30y = 64.50

There aren't any other constraints

20x + 40y = 61

30x + 30y = 64.50

Step-by-step explanation:

Find the value of x,y, and z. Simplify the radical

Answers

Answer: This question is incomplete. I need an expression.

How do I find the degree measure?​

Answers

Answer:

The Degree Measure of the Angle = Radian x (180/)

someone please help me!

GIVING BRAINLIST TO FIRST RIGHT ANSWER

Answers

Answer:

A. The mean is increased by 3

Step-by-step explanation:

2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 = 56/8 = 7

2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 + 34 = 90/9 = 10

10 - 7 = 3

What is the equation of a circle with center at (4,-6) and radius of 5?​

Answers

Answer:

Since the centre of the circle is (−4,−5) and its radius =6

Then, the equation of the circle is

⇒(x−(−4))

2

+(y−(−5))

2

=6

2

⇒(x+4)

2

+(y+5)

2

=36

⇒x

2

+8x+16+y

2

+10y+25−36=0

⇒x

2

+y

2

+8x+10y+5=0

Step-by-step explanation:

Paki brainlilest na lng po salamaf

At the end of the Crimson Comet's soccer season, Coach Jackson hosted a party for the players. He had 20 players on his team and ordered enough extra large pizzas for each player to eat 3 slices. Extra large pizzas have 10 slices each and cost $17. How much did all the pizzas cost?

Answers

Answer:

correct answer is explained in the picture attached (tap on the image to view it fully)

A dog shelter is giving away 18 different dogs, but you have room for only 4 of them.
How many different dog families could you create?

Answers

Answer:

..2

Step-by-step explanation:

The number of different dog families that you can create will be 3060.

What are permutation and combination?

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A canine sanctuary is offering 18 unique canines, yet you have space for just 4 of them.

Then the number of different dog families that you can create is given as,

¹⁸C₄ = (18!) / [(18 - 4)! x 4!]

¹⁸C₄ = (18 x 17 x 16 x 15 x 14!) / (14! x 4 x 3 x 2 x 1)

¹⁸C₄ = 6 x 17 x 2 x 15

¹⁸C₄ = 3060

The number of different dog families that you can create will be 3060.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

What is the name of the intersection point? Explain.

Answers

Answer: Midpoint

Explanation:

The drawings you made are constructions of the perpendicular bisector. The "perpendicular" refers to the fact the second line meets the first line at a right angle (aka 90 degree angle). The "bisector" portion indicates the segment has been bisected, which is mathematical way of saying "cut in half".

The key here is the "bisector" portion. Because we've cut a segment like AB in half, this means segment AC and CB are the same length. The point C is the midpoint of AB. Point C is formed by intersecting the perpendicular bisector and the original segment. I'm referring to drawing (a), but the same idea applies to drawing (b) as well. I recommend using another letter than C for the second drawing.

HELP PLEASE 20 POINTS

Answers

Answer:

a b and j?

Step-by-step explanation:

On a bird-watching trip, Mei and Jackie counted 68 birds.
Of these, 45 of the birds were sparrows. Which value is a
reasonable estimate of the percent of sparrows in the
birds Mei and Jackie counted?
1. 175%
2.140%
3. 70%
4. 90%

Answers

Answer:

The answer is 70% if you round it.

Step-by-step explanation:

45 out of 68 is 66 but if you're rounding it the answer is 70%.


PLS HELP ITS A MAJOR GRADE AND ITS MY LAST QUESTION I JUST CANT SOLVE IT
THE BEST ANSWER WILL GET BRAINLIEST

The perimeter of the classroom shown is 6x + 3. Find the length of the missing side

x
(6x + 3) + (3x +1) + x + x
6x + 3x + x + x +3 + 1
11x + 4
3x+1
The length of the missing side is 11x + 4.
Pls show
Correct Work/ Solution
Identify and explain the error
Share a Strategy

Answers

Answer:

Missing side = x+2

Step-by-step explanation:

The perimeter of the classroom, 6x+3, is equal to the 4 side lengths added up.

In their first line of work, the first plus sign should be an equal sign as follows:

6x+3 = 3x+1+x+x+?

simplify

6x+3 = 5x+1+?

subtract (5x+1) from both sides

x+2 = ?

There's the length of the missing side.

please help ill mark brainliest​

Answers

Answer:

I think it is 8

Step-by-step explanation:

sorry If I'm wrong

Other Questions
how to write into fractional expanded form 65.43 Explain the overhand service in volleyball. BRAINLIEST!Because he holds a degree in environmental science, Jared is the environmental inspector for a company that manufactures Styrofoam. What is one task that Jared would perform as part of his job?A. Jared oils the large press that forms the Styrofoam.B. Jared makes a schedule for Styrofoam deliveries.C. Jared tests the air quality in the room where the Styrofoam is stored.D. Jared designs the assembly line for the factory. is a statement against the claim. doctor es un nombre comn o propio You observe a car parked on the side of the road. If the car started to move, Which conclusion could you make?A. The forces were balanced when the car was parked, but one or more forces changed. The total forces became unbalanced, causing it to move.B. The forces were unbalanced when the car was parked. When the car moved, they became balanced.C. The forces were balanced when the car was parked. The forces stayed balanced when it moved.D. The forces were unbalanced when the car was parked, and two or more forces changed. The forces stayed unbalanced and caused the car to move. Maria has started a lawn care service about a year ago. She didgood work and her customers spread the word. Sales areincreasing quickly! What stage of the product life cycle isdescribed in this example?O IntroductionO GrowthO MaturityO Decline Choose the correct option and fill in the blanks:-1.Zero-degree latitude isA) The Tropic of Cancer B) The Tropic of CapricornC) The Equator D) 66 12 South latitude2. The hemisphere that lies between the equator and North pole is____A) southern hemisphere B) northern hemisphereC) eastern hemisphere D) western hemisphere3.. The other name of 0 longitude ...............A) Greenwich longitude B) the longest longitudeC) 180 western longitude D) All the above4. . ............. are the two points on the opposite ends of the Earth.A) Latitudes B) Longitudes C) Seas D) Poles5. If you face north on the globe, the ........... is on your right.A) east B) west C) south D) all the above6.When was it decided to make Greenwich the 0longitudeA) 1883 B) 1884 C) 1885 D) 18867.The total number of parallels at an interval of 5 areA) 37 B) 36 C) 19 D) 428. In which hemisphere Antarctic circle locatedA) northern hemisphere B) eastern hemisphereC) southern hemisphere D) Western HemisphereGrade 6 questions please help with this math question nerComplete with the verb tenerMi hermanouna how do you solve this question Starfish have about 15,000 tiny feet that help them move around the ocean floor. The table shows the distance traveled by a starfish over a given time. Help me please no one is helping this is due soon which bodies of government are involved in the process of amending the constituition Murthry's dog house floor has an area of approximately 4 sq meters. Muthryi is purchasing tiles that are 1 sq cm each. How many of the 1 sq cm tiles will he need to cover the entire floor of the dog house? A The__________ wanted a strong central government but the Democratic Republicans believed that the _________should have more power. How might "Roller Coaster Physics" have been different if the author's purpose had been to warnreaders of the dangers of roller coasters?Use at least two details from the passage to support your answer. NEED HELP ASAP WILL GIVE 100 PTS IN IT HAVE TO BE RIGHT AND I WILL GIVE BRAINIEST You were helping a friend with their math homework and saw the following work and explanation for one of their answers: (7^0/7^5)^1/5=7^4/5. They are equivalent because (7/7^5)^1/5=(7^4)^1/5. You notice their work and explanation are incorrect. Explain why it is wrong and give the correct answer. equation of the line (6,10) , (-3,-2) Arguments against industrial policy include all of the following except Select one: a. foreign industrial policy success has been variable. b. The need to rescue "sunset" industries. c. the need to promote "sunrise" industries. d. reduces market efficiency