The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?
Answers
Answer:
The student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Step-by-step explanation:
The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:
[tex]P = 2l + 2w[/tex]
In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.
In our case, the dimensions of a rectangle are [tex]\sqrt{50a^3b^2}[/tex] and [tex]\sqrt{200a^3}\:\:[/tex].
Here is the student's solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
[tex]=30ab\sqrt{2a}[/tex]
The student made an error in calculating [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] , because [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] are not like terms.
Hence, [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] can not be simplified to [tex]30ab\sqrt{2a}[/tex]
Therefore, the student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Here is the correct Solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
Answer:
D. The student incorrectly simplified 10ab sqrt2a+ 20a sqrt2a
Step-by-step explanation:
Just did it.
Related Questions
I need help I’m not sure if this the right answer.!
Answers
Answer:
is A
Step-by-step explanation:
00000000000000000000000000
Answer:
Its 0 because 12+ (-12) = 0
Eighteen hats are packaged in 2 boxes. How many hats are packaged in 7 boxes? Justify your answer.
Answers
Answer:
63
Step-by-step explanation:
2 ways: 18/2 = 9 9 times 7 is 63
18 times 3 =54 plus 9 (because 18/2 is 9) is 63
ASAP — PLS HELP OUT
WILL MARK BRAINLIEST AND GIVE A LOT OF POINTS
Answers
L=length; W=width.
L-2W=1
L=2W+1
P=2(L+W)
62in=2((2W+1)+W)
31in=3W+1
30in=3W
10in=W
The width is 10 inches.
L=2W+1=2(10in)+1=20in+1in=21in
The length is 21 inches.
Proof ;)
P=2(L+W)
62in=2(21in+10in)
62in=2(31in)
62in=62in
Of the 950 students enrolled in a soccer league, 42% are in middle school. How many students in the soccer league are in middle school?
68
399
509
908
Answers
Hope this helps :)
Select all the expressions that are equivalent to 2/3(9x+6)-1/2(8x-4)?
M. 2(x+1)
P. 2x+6
R. 2x+2
S. 2(x+3)
T. 8x
Answers
Answer:
S. 2(x+3)
Not sure if I should show my work or no
what is 13x25+3÷
15 please help im bad at math
Answers
Answer:
325.2
Step-by-step explanation:
I will give someone 100 points if they give me a brainliest
Answers
Answer:
ok
but why?
hmm
Can somebody help me, I'm being timed!
Answers
Answer:
I think its -- linear postulate
Step-by-step explanation:
A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet of gutter were required?
Answers
127.50/12=10.63
10.63 feet of guttering were required
Solve the equation for all values of x in simplest form:
(x – 3)^2 = 11
Answers
What is 5^3 written as a product of the same factor?
Answers
Answer:
Step-by-step explanation:
5³ = 5×5×5
DON AND 3 FRIENDS SHARE 2 sandwiches at lunch which equation can be used to find out how much sandwich each person gets at the sandwich are shared equally
A. X= 4÷2
B. X= 2 ÷4
C. X= 1÷3
D. X= 1÷4
Answers
Reason:
The thing they need to share are the sandwiches (y), where x is the amount of sandwich per person, so that goes in the equation first.
4/2 is 2 so that doesn’t make sense.
C isn’t an option because there are 4 people in this word problem. Don and his 3 friends = 4.
D isn’t right because there’re 2 sandwiches, not 1.
In a class of 30 students, 13 of them are boys.
What percentage of the class are girls?
Give your answer to 1 decimal place.
Answers
Answer:
56.7%
Step-by-step explanation:
30-13=17
(on a scientific calculator) 17/30=
0.56666667 x 100= 56.7 (round it up)
you can use this method everytime when trying to find a percantge.
I need help with this is this circumference or areas will mark you brainly if right
Answers
A = pi * r^2
C = 2 * pi * r
The volume of a cylinder with a radius of 3 inches and a height of 6 inches is 56.55 in? (Use V = Tt r2h.)
O True
O False
Please help
Answers
False
The volume of this cylinder is actually about 169.65
y = - 2x + 1
2x - 2y = 4
Solve systems of equations by substitutions
Answers
Answer:
x= 1
y= -1
Step-by-step explanation:
y=-2x+1
2x-2y=4
substitute for y
2x-2(-2x+1)=4
reduce
2x+4x-2=4
6x=6
x=1
y= -2(1)+1
y= -1
Jogging at a pace of 150 seconds per quarter mile, how long would it take to run 3miles, in minutes?
Answers
Answer:
2400
Step-by-step explanation:
150 times 4 = 600 times 4 = 2400
Answer:
30 minutes
Step-by-step explanation:
150 sec. x 4 = 600 sec.
600 sec. per mile
600 sec. x 3 = 1800 sec.
1800 sec. / 60 sec. = 30 min.
5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.
NEED THIS ASAP
NEED A EXAM DONE WILL PAY
Answers
Answer:
The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest
Answer:
Step-by-step explanation:
Premise: If n is a positive integer, then 11ⁿ-6 is divisible by 5.
Let n=1.
11¹-6 = 5, so the premise is true for n=1.
Suppose the premise is true when n is an integer greater than 1,
then 11ⁿ-6 is divisible by 5.
11ⁿ⁺¹-6 = 11·11ⁿ - 6
= (10+1)11ⁿ - 6
= (10·11ⁿ) + (1·11ⁿ) - 6
= (10·11ⁿ) + (11ⁿ - 6)
Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.
Proof by induction.
The volume of this cylinder is 1751 cubic units. What is the volume of a cone that has the same base area and the sam height
Answers
Answer:
[tex]V_2 = 583.67[/tex]
Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the cone with V2.
So:
[tex]V_1 = 1751[/tex]
Required
Find V2
The volume of a cylinder is:
[tex]V_1 = \pi r^2h[/tex]
Because the cone and the cylinder have the same base area and height, the volume of the cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Substitute [tex]V_1[/tex] for [tex]\pi r^2h[/tex].
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
[tex]V_2 = \frac{1}{3}V_1[/tex]
Substitute 1751 for V1
[tex]V_2 = \frac{1}{3} * 1751[/tex]
[tex]V_2 = \frac{1* 1751}{3}[/tex]
[tex]V_2 = \frac{1751}{3}[/tex]
[tex]V_2 = 583.67[/tex]
The volume of the cone is 583.67 cubic units
Solve the system of equations by the substitution method.
y = 4x-9
y-x=-3
A.(2, -1)
B.(-4,-7)
C.(-1,2)
D.(-7,-4)
Answers
Answer:
A. (2, -1)
Step-by-step explanation:
(4x - 9) - x = -3
3x - 9 = - 3
3x = 6
x = 2
y = 4(2) - 9
y = 8 -9
y = - 1
(2, -1)
Check
-1 - 2 = -3
Elliot has 4 1/3 candy bars. He gives 2/3 of a candy bar to Sara and 1/3 of a candy bar to Bill. How much does Elliot have left? (Work it out)
Answers
Answer:
10/3 or 3 1/3
Step-by-step explanation:
4 1/3= 13/3 as a mixed fraction
he gives 2/3 to sara:
13/3 - 2/2= 11/3
then he gives 1/3 to bill:
11/3-1/3= 10/3
he has 10/3 which is equal to 3 1/3
Please answer 1 and 2 soon
Answers
Answer:
1.36+3+(32)(2)
=57
error is that 6 is the wrong answer
A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)
Answers
9514 1404 393
Answer:
(3.4)
Step-by-step explanation:
The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.
Then the coordinates of point R are ...
(1.0) +(2.4) = (3.4)
__
Additional comment
We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.
URGENT Erin is taking part in a play at the community theater. The cast and crew ordered T-shirts for all the volunteers. The cost of a T-shirt is $8, and the total delivery charge is $45 per order. If the center has no more than $325 to buy T-shirts, how many T-shirts can they buy?
Answers
$325 - $45 delivery charge for ALL orders, = $280.
$280 divided by $8 per order is 35 t shirts.
Answer:
B is the correct answer. Less than or equal to 35 t shirts orders.
Step-by-step explanation:
What absolute value represents a number greater than |0.37|
A: |-0.38|
B: |-0.35|
C: |-0.37|
D: |-0.39|
No wrong answers!
Answers
Which value is an input of the function?
-14
-2
0
4
Answers
Answer:
4
Only answer on the x-axis
Answer:
It's 4.
Step-by-step explanation:
Did the test on edge2021
Give an example of a radical with two answers. Then solve your example. with give brainliest ong
Answers
Radical 4
This equals +2 or -2
I really hope this helped
Consider the expression.
6 · 60 · 6–3
Which statements are true about the expression? Check all that apply.
The 6 without an exponent is equivalent to the 6 having a 0 exponent.
The sum of the exponents is 2.
Multiply the exponents to simplify the expression.
The expression has a value of StartFraction 1 Over 36 EndFraction.
An equivalent expression is 65 · 6-7.
Answers
Answer:
4. The expression has a value of 1/36 . True
5. An equivalent expression is (6)^5. (6)^- 7 True
Step-by-step explanation: Not true. The 6 without an exponent is equivalent to the 6 having a 0 exponent.
Any number having an exponent zero has a value equal to 1.
6 · (6)^0 · (6)^–3
= 6.1.1/216
= 1/36
= (6)^-2
2. The sum of exponents is 2.
False ( the sum of exponents is -2)
3.Multiply the exponents to solve the expression .
False when the bases are the same the exponents are added or subtracted.
4. The expression has a value of 1/36 .
True
5. An equivalent expression is (6)^5. (6)^- 7
True
the correct answers are D and E. I just got this right. hope it helps
HELPPSKEJSSJS THANKSSSS
Answers
Answer:
-7
Step-by-step explanation:
20 points i will mark brainiest
Question 4
(08.03)
Solve the system of equations and choose the correct answer from the list of options.
x − y = 7
y = 3x + 12
Question 4 options:
1)
2 over 19 comma 2 over 33
2)
negative 2 over 19 comma negative 33 over 2
3)
negative 19 over 2 comma negative 33 over 2
4)
19 over 2 comma 33 over 2
Answers
Answer:
x = -9 1/2
y = -16 1/2
Step-by-step explanation:
x - y = 7
solve the above for 'y': -y = 7 - x
multiple each side by -1: y = x - 7
now both equations are in 'y=' form
x - 7 = 3x + 12
-2x - 7 = 12
-2x = 19
x = -19/2 or -9 1/2
-9.5 - y = 7
-y = 16.5
y = -16.5 or -16 1/2
Answer:
(-19/2, -33/2)
Step-by-step explanation: