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.
Find the missing side of the triangle:
8cm, 7cm, _____
A. 20cm
B. 15cm
C. 12cm,
D. 25cm
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:
What is the value of y?
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
Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8? (1, 3) (3, 1) (–4, 2) (2, –4)
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.
check out this cube find the surface area of the cube above its net below
-
1/6
Determine the volume of the cylinder. Round to the nearest tenth. (TEKS 8.7A-R)
Step-by-step explanation:
Volume=22/7×r×r×h
22/7×81×4= 22×81×4÷7 =1018.29A 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?
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.
Name four things that you can find on both a dot plot and box plot.
Answer:Dots, Lines, Box's, and Circles.
Step-by-step explanation: You're welcome
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.
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
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?
Answer: she is correct
Step-by-step explanation:
35% in decimal form is 3.50
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?
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
Eva buys online tickets to a play for her family. Each ticket costs $45.00 and there is a fee of $17.99
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
Evaluate 5c – 3d + 11 when c= 7 and d= 8.
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
what is an equation of a line that containes the points (-1, 9) and (4, -1)
please help!!
Answer:
y = -2x + 7
:)
brainliest please? <3
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?
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?
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%
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-
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
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
Find the measure of angle 1
Answer:28
Step-by-step explanation:
In figure find the value of x triangle PQR
20 POINTSSSS
What is the value expression?
-9 x 2.2
Answer:
-19.8
Step-by-step explanation:
Answer:
-19.8
Step-by-step explanation:
4 divided by 5/9 = easy question big points lol
Answer:
7 1/5 or 7.2
Step-by-step explanation:
Thx for points
The image of the point ( 4 , 5 ) by translation ( 0 , -4 ) is
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)
What are the solutions to this equation?
7.
D
17
-1
There are no solutions.
Answer:
Whats the equation?
Step-by-step explanation:
If you attach a pic maybe I can help!
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
Answer:
i think its c too i mean it looks like you picked c too
Step-by-step explanation:
lol
help please I don't understand
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.
What is the answer to this geometry problem?
Answer:
QT = 71 degrees
STR = 314 degrees
ST = 134 degrees
Please help me answer
Answer:
C
Step-by-step explanation:
(-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) =
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