2. Currently, Yamir is twice as old as Pato. In three years, the sum of their ages will be 30. If Pato's current age
is represented by a, which of the following equations could be used to correctly solve for a?
(1) a + 2a + 3 = 30
.(2) a + 2a +6 = 30
(3) (a +3)+2(a +3) = 30
(4) a +2(a +6)= 30

Answers

Answer 1

Given:

Yamir is twice as old as Pato.

In three years, the sum of their ages will be 30.

Pato's current age is represented by [tex]a[/tex].

To find:

The equation that could be used to correctly solve for [tex]a[/tex].

Solution:

We know that, Pato's current age is represented by a, then

Yamir's age = [tex]2a[/tex]

After three years,

Pato's age = [tex]a+3[/tex]

Yamir's age = [tex]2a+3[/tex]

In three years, the sum of their ages will be 30.

[tex](a+3)+(2a+3)=30[/tex]

[tex](a+2a)+(3+3)=30[/tex]

[tex]a+2a+6=30[/tex]

Therefore, the correct option is 2.


Related Questions

Mr. Diaz wants to put a fence around his rectangular-shaped yard. The width of the yard is 65 feet. The length is 122 feet. How many feet of fencing does Mr. Diaz need?

Answers

Answer:

374 feet of fencing

Step-by-step explanation:

2 x 122 + 2 x 65=374

374 feet

Step-by-step explanation:

You need to work out perimeter: 65 + 65 + 122 +122= 374

Evaluate 5c – 3d + 11 when c= 7 and d= 8.

Answers

answer: aiuaejaeijaeokjaea;ij;eoiroier;iijw;ije;ipjeja;eoijie;iw

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Substitute the values

5(7) - 3(8) + 11

35 - 24 + 11

11 + 11

22

4 divided by 5/9 = easy question big points lol

Answers

7.2 is answer thanks

Answer:

7 1/5 or 7.2

Step-by-step explanation:

Thx for points

Find the missing side of the triangle:

8cm, 7cm, _____


A. 20cm
B. 15cm
C. 12cm,
D. 25cm

Answers

Answer:A triangle is a polygon which has three sides and can be categorized into the follow ... sides of the triangle, and s = ½ (a + b + c) is the semi-perimeter of the triangle. ... Example 1: Find the area of a triangle whose base is 14 cm and height is 10 cm. ... a = 5cm and b = 7cm. C = 45o. Solution: Area of a triangle = ½ · a · b · sinC.

Step-by-step explanation:

In figure find the value of x triangle PQR

20 POINTSSSS

Answers

ANSWER=

X=46.6
Angle PQR= 93.2°

WHY:

You already entered x value and you just have to times it by two


MARK ME BRAINLIEST PLEASE


What is the answer to this geometry problem?

Answers

Answer:

QT = 71 degrees

STR = 314 degrees

ST = 134 degrees

1. The sum of the angles of a triangle are equal to 180 degrees. One angle measure is 18 degrees, the second angle measure is 62 degrees, and the third angle measure is x.

Write the equation that can be used to solve for x.​

Answers

x + 80 = 180
this is bc 62+18=80
how to solve
1. subtract 80 from both sides
you should be left with
x=100

Please Help! ~ Math ~ You will get +10 points! ~ Multiple Chouce ~ 1 Problem!

In a basketball game, Sarah scored 4 points more than twice the number of points Jamie scored. Jamie scored 3 ponts. How many points did Sarah score?

A. 1 Point
B. 7 Points
C. 10 Points
D. 12 Points-

Answers

Sarah: 3x2 is 6+4 is 10 so C :)

Answer:

10

Step-by-step explanation:

If Jamie scored 3, and sarah scored twice that much, multiple 3 by two

3x2=6

Sarah also scored 4 more points then twice of his points.

6+4=10

Your answer is ten points

jimmy bought a car in 2012 for $4,500. The car decreases by 12% of its value each year. How much will the car be worth in
2021?
what’s the function.

Answers

12% of 4,500 is 540.
2012-2021 is 9 years
540x9 is $4860
$4,500 - $4,860 is is $-360
The answer is -$360

Samir buys T-Shirts for $10 each and markups the price by 35%. Samira claims that Samir has to mark each shirt up by $3.50.


Is she correct?

Answers

Answer: she is correct

Step-by-step explanation:

35% in decimal form is 3.50

Yes $10 cost multiple by 1.35 is $13.50 retail so markup is $3.50.

Reflect triangle ABC over y=x the coordinates for A are (-5,2) B is (-2,5) C is (3,4) so reflect the over y=x pls help me

Answers

Answer:

A (2, -5)
B (5, -2)
C (4, 3)

Explanation:

When reflecting over y=x, the points change flip spots.

Do these three sides make a triangle? Is it unique? 1.4 miles, 1.8 miles, and 4.5 miles

Yes, it is a triangle and it is unique.

Yes, it is a triangle, but it is not unique.

No, it does not make a triangle.​

Answers

Answer:

No It Is Not A Triangle

Step-by-step explanation:

To be a triangle the 2 shorter sides have to add up greater than the longest side, 1.4+1.8=3.2 which is not grater than 4.5

Each card in a set of cards has one of the letters adventures. The cards are shuffled what is the probability of drawing a vowel?

Answers

Answer:

7/11 if its not that then its 64% Hope this helps!

Step-by-step explanation:

Since there are 11 letters in the word mathematics, and 7 consonants, you have the fraction 7/11. however, if it's required as a percentage, We know that

7/11

is the same as

7÷11

Then using

Long Division for 7 divided by 11

gives us

0.636

Converting our number to a percentage:

0.636×100

is 64% rounded to the nearest 10. Rounding to the nearest hundredth, you'd get 63.64%

what is an equation of a line that containes the points (-1, 9) and (4, -1)
please help!!

Answers

Answer:

y = -2x + 7

:)

brainliest please? <3

The image of the point ( 4 , 5 ) by translation ( 0 , -4 ) is

Answers

9514 1404 393

Answer:

  P'(4, 1)

Step-by-step explanation:

Add the translation values to the point coordinates.

  P(4, 5) ⇒ P'(4 +0, 5+(-4)) = P'(4, 1)

Please help me answer

Answers

Answer:

C

Step-by-step explanation:

C is the correct answer

A baseball player hits a ball towards a 20-foot wall 400 feet away. The path of the ball is modeled by the function, f(x)=-0.002(x-220)^2 +86, where x is the distance of the ball from the batter and f(x) is the height of the ball.

Based upon the function, f(x), what is the maximum height of the ball will reach?

At how many feet from the batter will the ball be at its maximum height?

Will the ball clear the wall?

Answers

a single distinct meaningful element of speech or writing, used with others (or sometimes alone) to form a sentence and typically shown with a space on either side when written or printed.

Cory sold 80 cheese burgers at his restaurant on Monday. Each cheese burger was topped with one type of cheese.

18 of the burgers had cheddar cheese
25 of the burgers had provolone cheese
110 of the burgers had Pepper Jack
The rest had Swiss cheese
How many of the burgers were topped with Swiss cheese?

Answers

If you meant 11 had Pepper Jack it would be 26 have Swiss cheese. But if you meant 10 had Pepper Jack it would be 27

What is the value expression?
-9 x 2.2

Answers

Answer:

-19.8

Step-by-step explanation:

Answer:

-19.8

Step-by-step explanation:

Find the measure of angle 1

Answers

Answer:28

Step-by-step explanation:

Answer: 28!

Step By Step Explanationm

What are the solutions to this equation?
7.
D
17
-1
There are no solutions.

Answers

Answer:

Whats the equation?

Step-by-step explanation:

If you attach a pic maybe I can help!

Eva buys online tickets to a play for her family. Each ticket costs $45.00 and there is a fee of $17.99

Answers

Answer:

$62.99

Step-by-step explanation:

Given data

Cost of ticket= $45.00

Fee= $17.99

Hence the expected amount she is to pay, that is the total cost of the ticket is

=45.00+17.99

=$62.99

3
Sarah earns 6 hours of computer time when she completes all her homework for the week.
Next year, her computer time will be raised by 40%. What is the new total amount of time
Sarah can earn next year when she completes all of her homework for the week?
A. 3 hours and 36 minutes
B. 6 hours and 9 minutes
OC. 8 hours and 24 minutes
D. 8 hours and 40 minutes

Answers

Answer:

i think its c too i mean it looks like you picked c too

Step-by-step explanation:

lol

(-15)-(-3) =
(1-7)+(+5) =
(+5) x ( +6 ) =
(+18 ) + ( +6)
(9)+( 8 ) =
(+10)-(+1) =
( +4 ) x ( 3 ) =
( 12 ) + ( +4 ) =
(+6) + (6)
(+11)-(7) =
(-8) x ( +2 ) =
(+15) + ( 3 ) =
(*12 ) + ( 4) =
(8) - ( +2) =
(-7) x ( -5 ) =
(-10 ) = (-2) =

Answers

Answer:

(-15)-(-3) = -12

(1-7)+(+5) = -1

(+5) x ( +6 ) = 30x

(+18 ) + ( +6) 24

(9)+( 8 ) = 17

(+10)-(+1) = 9

( +4 ) x ( 3 ) = 12x

( 12 ) + ( +4 ) = 16

(+6) + (6) 12

(+11)-(7) = 4

(-8) x ( +2 ) =  -16x

(+15) + ( 3 ) = 18

(*12 ) + ( 4) = 4

(8) - ( +2) = 6

(-7) x ( -5 ) = 35x

HOPE THIS HELPS : D I TOOK A LOT OF WORK ON THIS <3

Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8? (1, 3) (3, 1) (–4, 2) (2, –4)

Answers

the ordered pair is (-4,2)

check out this cube find the surface area of the cube above its net below​

Answers

I think they answer would be 96 because you would you 4×4 then multiply that by six since there are six squares. Hope this makes sense :-)

What is the value of y?

Answers

In a 30 · 60 · 90 triangle, the smallest side is x, the hypotenuse is 2x and the longer leg is x√3. So, in our 30 · 60 · 90, we have the hypotenuse is 6, so 6 ÷ 2 = 3 to give us the smallest leg (in this case is y), so y = 3. Because the longer leg is √3 · the smallest leg, 3√3 is the longest leg.

x = 3√3

y = 3

Name four things that you can find on both a dot plot and box plot.

Answers

Answer:Dots, Lines, Box's, and Circles.

Step-by-step explanation: You're welcome

help please I don't understand​

Answers

I think the answer is t=7 have a nice day!

-
1/6
Determine the volume of the cylinder. Round to the nearest tenth. (TEKS 8.7A-R)

Answers

Step-by-step explanation:

Volume=22/7×r×r×h

22/7×81×4= 22×81×4÷7 =1018.29
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