Answer:
Aman's age = 20, Arun's age = 28
Step-by-step explanation:
Let [tex]x[/tex] = Aman's age
Let [tex]y[/tex] = Arun's age
- - - -
[tex]x+4+y+4=56[/tex] (Sum of their age is 56 after 4 years in the future)
[tex]x+y+8=56[/tex]
[tex]x+y=48[/tex]
[tex]\frac{x}{y} = \frac{5}{7}[/tex] (Ages are in the ratio 5:7)
[tex]x=\frac{5}{7}y[/tex]
Now, we can use substitution to find for Arun's age:
[tex]x+y=48[/tex]
[tex]\frac{5}{7}y+y=48[/tex]
[tex]\frac{12}{7}y=48[/tex]
[tex]y=28[/tex]
∴ Arun is [tex]28[/tex]
To find for Aman's age, we can use substitution:
[tex]x+y=48[/tex]
[tex]x+28=48[/tex]
[tex]x=20[/tex]
∴ Aman is 20
Hope this helps :)
It says Find out the value of x
Answer:
x=31, x=31, x=21.
Step-by-step explanation:
So for number 33, we see that 2x+28=90 degrees so you just simplify the equation to 2x=62, x=31.
For number 34, we see that 4x+56=180 (flat line), so we simplify the equation again and get 4x=124, x=31 degrees.
For number 35, according to the vertical angle theorem, 43=2x+1, so we simplify that too and we get 42=2x, 21=x, x=21.
What is an equation of the line that passes through the point (4,-3) and is perpendicular to the line x-2y=2?
Answer: 2x+y+11=0
Step-by-step explanation:
The equation of given line is x-2y-2=0
Slope of given line is (m1)= - coefficient of x÷coefficient of y
m1= -1÷-2 =1÷2
Let slope of required line be m2.
Since the two lines are perpendicular,
So,
m1×m2= -1
or, 1÷2×m2 = -1
m2 = -2
The required line is passing through (4,-3)
Using two points slope form,
y-y1 = m(x-x1)
or, y-(-3)= -2(x+4)
or, y+3= -2x -8
or, 2x+y+3+8 = 0
2x+y+11 = 0 which is required equation of line.
What is the measure of angle 3 in degrees?
0 27°
0 33°
O 60°
0 1530
Answer:
I believe D I’m not sure though
Step-by-step explanation:
2(x + 3)2 – 3(x + 3) + 8
simplified polynomial in standard form?
Write equation line that passes through (2,2) and is parallel to line y=3x+9
An equation of parallel line is y=___
Answer:
Step-by-step explanation:
The slope is in the given line. It is the number in front of the x which is 3.
So far what you have is
y = 3x + b
Now use the point to find b
x = 2
y = 2
Substitute
y = 3*2 + b
2 = 6 + b
2 - 6 = b
b = - 4
y = 3x - 4
A 12-ounce bag of chips costs $2.88. What is the unit rate per ounce of chips A $0.17 O B. $0.24 OC. $0.25 OD $0.42
Answer:
B (I think)
Step-by-step explanation:
$2.88 divided by 12 is 0.24
Which is the simplified from of p0
what is the percent 12 of 30
40%
We get: 40% of 30 is 12.
Is this true?
Yes! 40% of 30 = (0.4)(30) = 12
solve the equation
48= y + 5y
48=y+5y
pretend that there is a 1 in front for the y
48=1y+5y
add the like terms first
1y+5y=6y
48=6y
divide both sides by 6 to get y by itself
48/6=6y/6
8=y
answer:
y=8
Answer:
y = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
48 = y + 5y
Step 2: Solve for y
Combine like terms: 48 = 6yDivide 6 on both sides: 8 = yRewrite: y = 8Step 3: Check
Plug in y into the original equation to verify it is a solution.
Substitute in y: 48 = 8 + 5(8)Multiply: 48 = 8 + 40Add: 48 = 48Here we see that 48 does indeed equal 48.
∴ y = 8 is a solution of the equation.
In the figure below, what is the measure of AB?
Answer:
The measure of AB is 29
Step-by-step explanation:
If a line is drawn from a vertex of a triangle perpendicular to the opposite side to this vertex and bisects it, then the sides joining this vertex are equal in lengths
In Δ ABD
∵ Line AC ⊥ side BD
∵ BC = BD = 15
∴ C is the mid-point of The side BD
∴ Line AC is a perpendicular bisector of side BD
→ By using the rule above
∴ AB = AD
∵ AB = 5x - 11
∵ AD = 3x + 5
→ Equate them
∴ 5x - 11 = 3x + 5
→ Add 11 to both sides
∵ 5x - 11 + 11 = 3x + 5 + 11
∴ 5x = 3x + 16
→ Subtract 3x from both sides
∵ 5x - 3x = 3x - 3x + 16
∴ 2x = 16
→ Divide both sides by 2
∴ x = 8
→ Substitute the value x in the expression of side AB
∵ AB = 5(8) - 11
∴ AB = 40 - 11
∴ AB = 29
∴ The measure of AB is 29
using y=mx+b find the slope for
x + 2y = -8
Answer:
y=1/2x-4
Step-by-step explanation:
plzz help mee!!! chess club every 4 days. He goes to soccer practice every 3 days. If he has both activities today, in how many days will he first have both activities again?
Answer:
12 days
Step-by-step explanation:
4x3=12
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.
Answer:
The 45th term is equal to -209.
Step-by-step explanation:
I got stuck on this question for six attempts. Therefore I started trying other methods. I started with a10=1 and then subtracted 6 to get a11=-5. I continued this process until I reached a45=-209
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The 45th term for the arithmetic sequence is -209.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
Given that the 10th term of the arithmetic series is 1, while the common difference of the arithmetic series is -6. Therefore, 10th term of the series can also be written as,
aₙ = a₁+(n-1)d
1 = a₁+(10-1)(-6)
1 = a₁ + (9)(-6)
1 = a₁ - 54
a₁ = 55
Now, the 45th term for the arithmetic sequence is,
aₙ = a₁ + (n-1)d
a₄₅ = 55 + (45-1)(-6)
a₄₅ = 55 - 264
a₄₅ = -209
Hence, the 45th term for the arithmetic sequence is -209.
Learn more about Arithmetic Sequence here:
https://brainly.com/question/3702506
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Which statement about parallel lines is true?
Parallel lines intersect at a 45° angle.
Parallel lines intersect at a 90° angle.
Parallel lines are always line segments.
Parallel lines never intersect.
Answer:
the last one
Step-by-step explanation:
Parallel lines never intersect.
hope this helps
juan has $1.30 in dimes and nickels he has a total of 15 coins how many dimes does juan have
Answer:
11 dimes and 4 nickles
Step-by-step explanation:
Answer:
11 dimes equals 1.10 and 4 nickels equals 20 cents
Step-by-step explanation:
I need this done ASAP! I will give brainliest to the answer with the work shown for all problems. Or whichever is done the fastest with the work shown for all problems. I WILL REPORT ANY ANSWERS THAT DO NOT ANSWER MY QUESTION!
Can someone help please
Answer:
C
____________
Step-by-step explanation:
4-3
6-5
8-6
10-4
13-3
I was at a farm this farm raises cows and chickens I manage to count the number of heads and legs on the form I counted a total of 26 heads and a total of 62 legs can you figure out the number of cows and chickens the farmer has
Answer:
5 cows, 21 chicken
Step-by-step explanation:
5 cows; 20legs
21chickens; 42legs
26heads; 62legs
1.
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 12(1.04)n
Part A: Is this a growth or decay exponential function? Justify your answer. (2 points)
Part B: What is the growth or decay percentage for this function? (2 points)
Part C: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part D: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent?
Answer:
Exponential growth
4%
12
Step-by-step explanation:
Given the function :
f(n) = 12(1.04)^n
Part A: Is this a growth or decay exponential function?
The equation above is usually generally represented as :
F(n) = A(1 ± r)^n
Where F(n) = final amount after n years ; r = rate ; n = number of years
The function Given above is thus :
F(n) = 12(1 +0.04)^n
This is an exponential growth function because of the negative rate (+ 0.04)
Part B: What is the growth or decay percentage for this function
From the equation :
F(n) = A(1 + r)^n ; r = rate
Comparing F(n) = 12(1 +0.04)^n ; r = 0.04 = 0.04*100% = 4%
Part C: What does the y-intercept of the graph of the function f(n) represent?
The y intercept :
Value of F(n) when n = 0
F(n) = 12(1 +0.04)^n
F(n) = 12(1 +0.04)^0
Fn = 12(1)
Hence, intercept = 12
Write an equation in point slope form for each line.
(1,6) and (2,3)
Question
How do you write the equation of a line in point slope form and slope intercept form given point (6, -3) and has a slope of 1/2?
Answer · 0 votes
Point-Slope Form is y+3=12(x−6) Slope-Intercept Form is y=12x−6 Explanation: .
what is the percent of 7/10
Answer:
7/10= 0.7 = 0.70 = 70%
Step-by-step explanation:
If you multiply them together you get 70, this only works if it is /10.
5,7,9 i need help asap, step by step plss if possible :)
Answer:
5 yes
7 yes
9 no
Step-by-step explanation:
(4*7)^x is 28 which is greater than 0 and not equal to one.
Same with 7
9 has a negitive 5 being multiplied to 9 which leads it to being -45^x which is less than zero
Answer:
i need some points sorry not sorry
What do you think will happen to Earth if climate chang is solved.?
Answer:
it will be more wildfires longer periods of droughts
Find the measure of the numbered angle.
m∠3 =
Answer:
<3 = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180
<1 + 40 + 90 = 180
<1 + 130 = 180
<1 = 50
<1 and <3 are vertical angles and vertical angles are equal
Write the equation of the line given the slope and the point that it passes through.
m = 2/7
point = (1, 2)
Answer:
slope (m)= 2/7
X1= 1
y1= 2
formula from equation of the line:
1. Y2 - Y1/ X2 - X1 ( if you know 2 point )
2. y - y1 = m × ( x - x1 ) (if you know the slope and 1 point )
3. mx + c = y ( if you know the slope and the y-axis )
because the known gradient and 1 point, then use the formula number 2.
let's get into the formula:
y - y1= m × (x -x1)
y - 2 = 2/7 × ( x - 1 )
y - 2 = 2/7x - 2/7
y= 2/7x - 2/7 + 2
y = 2/7x + 12/7
which statements are true check all that apply please help
Answer:
a c and d
Step-by-step explanation:
lmk if you need work
and remember that when it is negative, the value that is closer to 0 is greater
Find the final price of a $849.99 laptop with 6% sales tax
I need help with this question, here's the image
Answer:
The answer Is C
PLEASE ANSWER I WILL MAKE U BRAINLIEST
Who made an incorrect statement about each rotation. Then, correct and rewrite the statement.
Answer:
Tara is incorrect.
Step-by-step explanation:
The location of X' will be (7,1)
y = –A system of equations. y equals negative StartFraction one-half EndFraction x plus 4. x plus 2 y equals negative 8.x + 4 x + 2y = –8 How many solutions does this linear system have?
Answer:
A
Step-by-step explanation: Took a quiz