Answer:
me either dude
Step-by-step explanation:
1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and his sister?
(a) Write an equation that represents the situation. (1 point)
(b) Solve the equation from Part (a). Show your work. (3 points)
Answer:
Part A: Write an equation.
If the present age is y, then n times the present age = ny.
If the present age is x, then age n years later/hence = x + n.
If the present age is x, then age n years ago = x – n.
The ages in a ratio a: b will be ax and bx.
Part B: Solve the equation.
John’s age =
John’s sister’s age =
Answer:
sister = 6 years
John=18 years
Step-by-step explanation:
A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.
Answer:
36-x=y
y*3=x
x+y=36
Step-by-step explanation:
I wasnt really sure how to write the equation the way you're supposesd to?
John is 27 and his sister is 9. 9*3=27
I just used guess and check sorry
Plz help with full process
[tex] \frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }[/tex]
Answer:
[tex]\displaystyle \frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }=1[/tex]
Step-by-step explanation:
Algebra Simplifying
We are given the expression:
[tex]\displaystyle T=\frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }[/tex]
We need to repeatedly use the following identity:
[tex](a^2-b^2)=(a-b)(a+b)[/tex]
For example, the first numerator has a difference of squares thus we factor as:
[tex](a - b)^{2} - {c}^{2} =(a-b-c)(a-b+c)[/tex]
The first denominator can be factored also:
[tex]{a}^{2} - {(b+ c)}^{2} = (a-b-c)(a+b+c)[/tex]
Applying the same procedure to all the expressions:
[tex]\displaystyle T=\frac{(a - b- c)(a-b+c) }{a-b-c)(a+b+c) } + \frac{(b - c - a)(b-c+a) }{(b-c-a)(b+c+a) } + \frac{(c - a-b)(c-a+b) }{(c-a-b)(c+a+b)}[/tex]
Simplifying all the fractions:
[tex]\displaystyle T=\frac{a - b- c}{a+b+c} + \frac{b-c+a}{b+c+a } + \frac{c-a+b }{c+a+b}[/tex]
Since all the denominators are equal:
[tex]\displaystyle T=\frac{a - b+ c+b-c+a+c-a+b}{a+b+c}[/tex]
Simplifying:
[tex]\displaystyle T=\frac{a +c+b}{a+b+c}[/tex]
Simplifying again:
T = 1
Thus:
[tex]\boxed{\displaystyle \frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }=1}[/tex]
Answer:
Siblings r annoying
Step-by-step explanation:
I need help ASAP please help me
Answer:
y=2x
Step-by-step explanation:
It goes up by 2 units every x value so
Answer:
y=2x is your correct answer
Step-by-step explanation:
Solve the following:
1 - .008 =
Answer:
0.992
Step-by-step explanation:
do you not have a calculator
Answer:
0.992
Step-by-step explanation:
1 - 0.008 = 0.992
7. Given the function f(x)= x - 3x +4, evaluate f(5)-|(2).
. A model boat is 5 inches long.
The actual boat is 45 feet long.
What is the scale of the model?
Answer:
Every inch is equal to 9 feet
Step-by-step explanation:
45/5= 9
Help pls it graphing inequalities
Answer:
I can't see it clearly but I can explain to you how to graph it on a number line :)
Step-by-step explanation:
Imagine the sign pooping the other way. Like > ___ The sign is pooping a LINE where the shorter angle is. So if the inequality was x>3 , You would put a dot on the 3 and do a line going right. Now to figure out if the dot is open or closed, it depends on the sign. If the sign is open, the sign is either > or <. If it is closed, the sign is either ≥ or ≤.
Marilyn is having shelves installed to create a corner pantry. The length of one wall is 21 inches and the measure of the angle opposite the short side of the pantry, m∠A = 40°. The contractor who is making the shelves, which are shaped like right triangles, needs to know the length of the other wall. The length of the other wall is inches. Round your answer to the nearest integer.
Answer:
40° or 40.03 degrees or 25 inches as nilla mentioned.
will give brainliest!!
By selling a T.V for ₹34,500 a shopkeeper makes a profit of 15%. Find the cost price of T.V set.
find 30% of 70
please help
Answer:
21
Step-by-step explanation:
HA GODE
The buildings of a university are mapped on a coordinate grid with the origin being at library.
The Math building is located at the point (1, 5) and the History building is located at (4, 9).
How far is it from the Math building to the History building?
Applying the distance formula, the distance between the the Math building to the History building is: 5 units.
What is the Distance Formula?To find the distance between two given points on a coordinate grid, the distance formula which is used is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the following:
Math Building (1, 5) = (x1, y1)History building (4, 9) = (x2, y2).Plug in the values into the distance formula:
d = √[(4−1)² + (9 − 5)²]
d = √[(3)² + (4)²]
d = √(9 + 16)
d = √25
d = 5
Distance between the the Math building to the History building is: 5 units.
Learn more about the distance formula on:
https://brainly.com/question/20978526
#SPJ1
solve for t. -6 - t = -3t
Answer:
T = 3
Step-by-step explanation:
Please help!! It’s due within 10 minutes and I don’t get it :(
Answer:
Step-by-step explanation:
22. Area = L x B
Area = (5a^2b^4) x (3ab^2)
Area = 15a^3b^6
Perimeter = L + B
Perimeter = (5a^2b^4) + (3ab^2)
Preimeter = 5a^2b^4 + 3ab^2
23. Area = 1/2 bh
Area = 1/2 (3mn^2) x (4m^2)
Area =6m^3n^2
Perimeter = L + B + H
Perimeter = 3mn^2 + 4m^2 + 7mn^2
Perimeter = 10mn^2 + 4m^2
Simplify x^1/3(x^1/2+2x^2)
Answer:
The first choice: x^5/6 + 2x^7/3
Step-by-step explanation:
= x^1/3 * x^1/2 + x^1/3 * 2x^2
= x^(1/2+1/3) + 2x(1/3 + 2)
= x^5/6 + 2x^7/3
Answer:
x^5/6 + 2x^7/3
Step-by-step explanation:
What’s the surface area need help ASAP
Answer:
144 m^2
Step-by-step explanation:
the front side is 9 m tall and 6 m long. The formula for the surface are of triangles is W*L/2, so 9*6=54, 54/2=27. Four sides are the same, so multiply 4 to get 108m. the the faced down part is 6m by 6m, so multiply 6*6 is 36, then add up 36 + 108 = 144m.
Find the commission.
Earning Commission
Sales Commision Rate Commission
$540
8%
?
The commission is $
Answer:
The commission is $43.20
Step-by-step explanation:
Given that:
Amount of sales = $540
Commission rate = 8%
We have to find the amount of commission from the sales of $540.
Amount of commission = 8% of sales
Amount of commission = [tex]\frac{8}{100}*540[/tex]
Amount of commission = 0.08 * 540
Amount of commission = $43.20
Hence,
The commission is $43.20
Solve |2x - 3|< 7 help pls!!
Answer:
I think it is c, sorry if I am wrong.
Answer:
-2<=x<=5
Step-by-step explanation:
|2x - 3|< =7
-7<=2x-3<=7
-4<=2x<=10
-2<=x<=5
6th grade math please help!
Answer:
A
Step-by-step explanation:
Answer:
A represents the position of -2.2
Simplify the expression below:
4(n-3) - 2(-3 + x)
Answer:
4n-2x-6
Step-by-step explanation:
Let's simplify step-by-step.
4(n−3)−2(−3+x)
Distribute:
=(4)(n)+(4)(−3)+(−2)(−3)+(−2)(x)
=4n+−12+6+−2x
Combine Like Terms:
=4n+−12+6+−2x
=(4n)+(−2x)+(−12+6)
=4n+−2x+−6
Answer:
=4n−2x−6
What is the result of adding these two equations?
2x + 3y = -5
5x - y=-12
Answer:
7x + 2y = -17
Step-by-step explanation:
A greyhound dog can run with a top speed of 17.6 m/s. At this rate, how long will it take to run 100 meters?
Answer:
It will take 5.68 seconds to cover a distance of 100 meters.
Step-by-step explanation:
Given that:
A greyhound dog runs with a top speed of 17.6 m/s
Distance to cover = 100 meters
We know that:
Distance = Speed * Time
Putting the values in formula
100 = 17.6 * Time
Time = [tex]\frac{100}{17.6}[/tex]
Time = 5.68 seconds
Hence,
It will take 5.68 seconds to cover a distance of 100 meters.
Pls help and show workings
It due ASAP
Plsssssssssss
Answer:
SAS is the proper answer because they both have two sides and a angle. (Answer C)
Answer:
B.
Step-by-step explanation:
SAS
Side - angle-side.
Andrew writes 1/7 of a page in 1/7 of a minute. How much time, in minutes, does it take him to write a full page? Type your answer as a fraction. If it is improper, change it to a mixed number. Do not include "minutes" in your answer.
Answer: 1
Step-by-step explanation:
From the question, we are informed that Andrew writes 1/7 of a page in 1/7 of a minute. The number of minutes that would take for him to write a full page would be:
= 1/7 ÷ 1/7
= 1/7 × 7/1
= 7/7
= 1 minutes
= 1
What color is your hair and why have you dyed it over quarantine? My hair is now blue uwu
(2-3=-1)
my color hair is yellow and I don't dyed it
Answer:
my hair is rainbow and has been for a few weeks now. my brother came out gay and I dyed my hair to support him and now it won't wash now. it's pretty tho
a student cost for last semester at her community college was $2200. She spent $308 of that on books. whats % of last semesters college costs was spent on books
Answer:14%
Step-by-step explanation:
Dived $308 by the total $2200 and you get a .14 multiply that by the 100 to get percentage and you get 14%
Simplify the expression. -2/3c -9/5 + 14c + 3/10
Answer:
[tex]13 \frac{1}{3} c - 1 \frac{1}{2} [/tex]
Step-by-step explanation:
We want to combine alike terms so
-2/3c+14c & -9/5+3/10
14c-2/3
[tex] \frac{14}{1} c - \frac{2}{3} c[/tex]
Multiply 14/1 by 3/3 to get the denominators the same
[tex] \frac{42}{3} c - \frac{2}{3} c[/tex]
Subtract
[tex] \frac{40}{3} c[/tex]
simplify
[tex]13 \frac{1}{3} c[/tex]
now
[tex] \frac{3}{10} - \frac{9}{5} [/tex]
Multiply 9/5 by 2/2
[tex] \frac{3}{10} - \frac{ 18}{10} [/tex]
Subtract
[tex] - \frac{15}{10} [/tex]
Simplify
[tex] - 1 \frac{1}{2} [/tex]
put both together
[tex]13 \frac{1}{3}c - 1 \frac{1}{2} [/tex]
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
40/3 c-3/2
Step-by-step explanation:
calculate the sum
-2/3c-9/5+14c+3/10
40/3c -9/5+3/10
40/3c-3/2
=40/3c-3/2
| - 4 | < | -6 | true or false
| - 1 | > | 7 | true or false
| -8 | < - 2 true or false
Answer:
false
false
true
Step-by-step explanation:
if it has brackets just take them away and the negative symbol
Answer:
1) | - 4 | < | -6 | is true
2) | - 1 | > | 7 | is false
3) | -8 | < - 2 is false
Step-by-step explanation:
We need to find if the statements are true or false.
1) | - 4 | < | -6 | true or false
We know that:
|-4| = 4
|-6| = 6
Now, 4 < 6 is true
So, | - 4 | < | -6 | is True
2) | - 1 | > | 7 | true or false
We know that:
|-1| = 1
Now, 1 > 7 is false, because 1 is less than 7 and not gr eater than 7.
So, | - 1 | > | 7 | is false
3) | -8 | < - 2 true or false
We know that
|-8|= 8
Now, 8 < 2 is false, because 8 is not less than 2, it is greater than 2.
So, | -8 | < - 2 is false
What is 16/100 as a decimal?
Answer:0.16
Step-by-step explanation:16/100 as a decimal is 0.16.
Answer:
0.16
Step-by-step explanation:
16 ÷ 100 = 0.16 hope this helps
At the video game store, they were having a sale. There was a pack of 3 games for $45.96. If the games were all the same price, what was the cost of each game in the pack?
Answer:
$15.32 per game
Step-by-step explanation:
45.96/3 = 15.32