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.
what shape would be made if you cut a rectangular pyramid diagonally?
Answer:
You would get a trapezoid shape.
Step-by-step explanation:
 Jackie so $9500 worth of vacuum cleaners in December if she earns a commission rate of 15% of all sales what commission Did she earn
Answer:
1425
Step-by-step explanation:
I'm pretty sure 1425 is 15% of 9500.
5. Find the area of trapezoid
Please help
Answer:
39.2
Step-by-step explanation:
A- area of trapezoid
a-Base
b-Base
h-Height
[tex]A=\frac{a+b}{2} h=\frac{7(9.2+2)}{2}=39.2[/tex]Solve the problem. Round to the nearest cent.
Brad wants to have available to buy a car in 5 years. How much must he deposit now at compounded monthly to reach that goal?
Group of answer choices
$22,366.96
$12,395.17
$22,905.95
$12,920.84
Answer:
$10,857.8
Step-by-step explanation:
Brad wants to have $17000 available to buy a car in 5 years. How much should he deposit now at 9% compounded monthly to reach that goal?
A = p(1 + r/n)^nt
P = A / (1 + r/n)^nt
P = 17000 / (1 + 0.09/12)^(12*5)
= 17,0000 / (1 + 0.0075)^60
= 17,000 / (1.0075)^60
= 17,000 / 1.5657
= 10,857.8
P = $10,857.8
What is the GCF of 36 and 68?
Answer:
4
Step-by-step explanation:
Answer:
The greatest common factor of 36 and 68 is 4
Step-by-step explanation:
36÷4=9
68÷4=17
Write an equation of the perpendicular bisector of the segment with endpoints M(10,-7) and N(-4,1).
help help help help help i suck at math
Answer: D
Step-by-step explanation:
if your reading this please help meeee
Answer:
both angles are 92 degrees
Step-by-step explanation:
88+c=180
c=92
c and b are vertical angles and all vertical angles are equal
1,find the equation of the line with y-intercept (0,8) and slope ⅗. 2,Find the slope and y-intercept of y=10x-⅓. 3,Find the slopes of the lines containing these points. a) (4,-3) and (6,-4) b)
Answer:
1) y = 3/5x + 8
2) Slope: 10
y-intercept: -1/3
3) y = -1/2x - 1
Step-by-step explanation:
1) The equation you need to refer to for this problem is y = mx+b
m = slope (3/5 for this problem)
b = y-intercept(which is 8)
plug those numbers in and you get y = 3/5x + 8
2) look back at this equation: y = mx+b
10 is the slope and -1/3 is the y-intercept
3) This one is a bit more difficult as you need two other formulas to solve:
the slope formula, y1 - y2/x1 - x2, and the point-slope formula,
y - y1 = m(x - x1)
For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:
-3 -(-4)/4 - 6 = -1/2
the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.
-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)
To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:
(keep in mind, for this, I used (4,-3) but you can use either one)
y -(-3) = -1/2(x - 4)
To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:
y -(-3) = -1/2x + 2
Then, on the other side, add the to negatives to get a positive 3:
y + 3 = -1/2x + 2
and subtract 3 from both sides:
y = -1/2x - 1
I hope this isn't too confusing
good luck!
A diagonal of a square is 20cm long. How long is each side
Answer:
Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm
Step-by-step explanation:
Answer:3
Step-by-step explanation:divide
A number is 11 less than 3 times another number. The sum of the numbers
is 25. What are the two numbers?
Can you please send the work too
Step-by-step explanation:
this is simple use it and enjoy
Step-by-step explanation:
Let x be the first number
Let y be the 2nd number
given,
[tex]x = 3y - 11 \\ x - 3y = - 11[/tex]
as equation 1
and
[tex]x + y = 25[/tex]
as equation 2.
Now we will use elimination method to solve for simultaneous equations.
We will use equation 1 - equation 2 to eliminate x to solve for y.
[tex]x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9[/tex]
Substitute y into equation 2.
[tex]x + 9 = 25 \\ x = 25 - 9 \\ = 16[/tex]
The numbers are 9 and 16.
The table shows the number of students who had a job during the summer. Which statement is true?
Grade Level
Students who had a
summer job
Freshman
22
Sophomore
10
Junior
20
Senior
22N
ОООО
The probability of a working sophomore is greater than any other student.
The probability of a working junior is greater than any other student.
The probability of a working senior is as likely as a working sophomore.
The probability of a working freshman is as likely as a working senior.
Answer: d
Step-by-step explanation:
7. In the box plot below, which quarter of the data has the greatest spread of numbers?
A. 1st
B.2nd
C.3rd
D.4th
Answer:
Step-by-step explanation: number 1
Help again please Don’t get it at all
Answer:
hi
Step-by-step explanation:
Answer:
42 degrees
Step-by-step explanation:
the other angles are 90 and 48
HELP ASAP!!! PLEASE!!! look at the screenshot (15 pts)
Answer:
should be A sorry if I'm wrong
help me plz..
the pair of line represented by equation 9x²+12xy+(k+1)y²=0 coincide, find the value of k
Answer:
k=3 is your answer
Step-by-step explanation:
given equation :
9x²+12xy+(k+1)y²=0
comparing above equation with
ax²+2hxy+by²
we get
a=9
h=12/2=6
b=k+1
since lines are coincident
ø=0
Tan0=±[2√(h²-ab)]/(a+b)
we get
h²=ab
6²=9(k+1)
36/9=k+1
4=k+1
k=4-1=3
The value of k will be;
⇒ k = 3
What is Equation of line?The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The pair of equation is,
⇒ 9x² + 12xy + (k + 1)y² = 0
Now,
We know that;
The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,
⇒ h² = ab
So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;
⇒ 2h = 12
⇒ h = 6
⇒ a = 9
⇒ b = (k + 1)
Substitute all the values in given condition for coincide , we get;
⇒ h² = ab
⇒ 6² = 9 (k + 1)
⇒ 36/9 = k + 1
⇒ 4 = k + 1
⇒ k = 4 - 1
⇒ k = 3
Thus, The value of k = 3
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Write in word form:
436,783,210
Answer:
Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten
Step-by-step explanation:
four hundred and thirty six
seven hundred and eighty three
two hundred and ten
Step-by-step explanation:
ILL GIVE BRAINLEIST!!
Find the sum of the given arithmetic series:
104 + 101 + 98+...+14
A. O 1820
B. O 1786
C. 1829
D. O 1926
Answer: 317
Step-by-step explanation:
please helpppppp i will mark you braliest
Answer:
0.3
Explanation:
you multiply all numbers together to get 0.3
HELP PLEASE 10 POINTS
Answer:
A
Step-by-step explanation:
Find the slope of the line that passes through (3, 5) and (8, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: Answer is B
Step-by-step explanation:
what is the area of a circle with a radius of 10
Answer: A≈314.16
Step-by-step explanation: A=πr2=π·102≈314.15927
Find the value of x that makes the equation true
3/5x + 10 = 4/5x - 6
Answer:
80
Step-by-step explanation:
multiply both sides by 5
3x +50 = 4x -30
combine like terms
-x = -80
x = 80
A window in the shape of a parallelogram has a base of 34 inches and a height of 63 inches. What is the area of the window?
Answer:
2142 inches^2
Step-by-step explanation:
parallelogram's area: base * height
so, 34*63 = 2142
so if you say hi to someone and they dont say it back what do you do
You can either walk by and just go with it, say dang okay, or you could walk past them like you were saying it to someone else. Good luck to you if you end up in the situation.
Answer:
Give them a dirty look, then say it louder but if u dont want to say it again then just leave them alone. If not BEAT THEM UP
Step-by-step explanation:
the area of a semi circle when the radius is 28cm
is the expression b+2(b+2b) equivalent to 4b
Answer:
no because the parenthesizes means your multiplying
Step-by-step explanation:
A stone is thrown horizantally with a velocity of 50 m/s from the top of a building. Find its velocity after 2 seconds.
Answer:
V = 53.7 m/s ∠-21.41°
Step-by-step explanation:
Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s
So, v = u - gt
v = 0 m/s - 9.8 m/s² × 2 s
v = 0 m/s - 19.6 m/s
v = - 19.6 m/s
Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)
So, V = √((50 m/s)² + (-19.6 m/s)²)
V = √(2500 m²/s² + 384.16 m²/s²)
V = √(2884.16 m²/s²)
V = 53.7 m/s
Its direction Ф = tan⁻¹(v/u')
Ф = tan⁻¹(-19.6 m/s/50 m/s)
Ф = tan⁻¹(-0.392)
Ф = -21.41°
So it velocity V = 53.7 m/s ∠ -21.41°
What is the value of x? Enter your answer in the box.
Answer:
Lilly, since the angles are the same we can set the equal to each other, that's the "trick" of this problem
Step-by-step explanation:
3x + 50 = 6x - 10
3x + 60 = 6x
60 = 3x
20 = x
see how I got that?
a new computer costs 950$ but it depreciates in value by about 14% each year.At this rate,how much will it be worth in 6 years?
Step-by-step explanation:
950x14= 13 300
13300/100
133$ per year
133x6years= 798$
so 950-798= 152
152$ will be the price of the pc at this rate you said