9. Combine the radical expression, if possible.
Answer:
we conclude that:
[tex]3\sqrt{125}+4\sqrt{20}=23\sqrt{5}[/tex]
Hence, the last option i.e. [tex]23\sqrt{5}[/tex] is correct.
Step-by-step explanation:
Given the expression
[tex]3\sqrt{125}+4\sqrt{20}[/tex]
Combining the radical expressions
[tex]3\sqrt{125}+4\sqrt{20}[/tex]
let us first solve
[tex]3\sqrt{125}[/tex]
[tex]=3\sqrt{5^3}[/tex]
[tex]=3\sqrt{5^2\cdot \:5}[/tex]
Apply radical rule: [tex]\sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0[/tex]
[tex]=3\sqrt{5^2}\sqrt{5}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \:a\ge 0[/tex]
[tex]=3\cdot \:5\sqrt{5}[/tex]
[tex]=15\sqrt{5}[/tex]
Thus,
[tex]3\sqrt{125}=15\sqrt{5}[/tex]
similarly solving
[tex]4\sqrt{20}[/tex]
[tex]=4\sqrt{2^2\cdot \:5}[/tex]
Apply radical rule: [tex]\sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0[/tex]
[tex]=4\sqrt{2^2}\sqrt{5}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \:a\ge 0[/tex]
[tex]=4\cdot \:2\sqrt{5}[/tex]
[tex]=8\sqrt{5}[/tex]
Thus,
[tex]4\sqrt{20}=8\sqrt{5}[/tex]
so we get
[tex]3\sqrt{125}=15\sqrt{5}[/tex]
[tex]4\sqrt{20}=8\sqrt{5}[/tex]
so the expression becomes
[tex]3\sqrt{125}+4\sqrt{20}=15\sqrt{5}+8\sqrt{5}[/tex] ∵ [tex]3\sqrt{125}=15\sqrt{5}[/tex] , [tex]4\sqrt{20}=8\sqrt{5}[/tex]
[tex]=23\sqrt{5}[/tex] ∵ [tex]15\sqrt{5}+8\sqrt{5}=23\sqrt{5}[/tex]
Therefore, we conclude that:
[tex]3\sqrt{125}+4\sqrt{20}=23\sqrt{5}[/tex]
Hence, the last option i.e. [tex]23\sqrt{5}[/tex] is correct.
An electrician completes 1/6 of a job in 2/3 hour. At this rate, how many hours does it take the electrician to complete the job
Answer:
12/3 or 4 hours
Step-by-step explanation:
(please help!)Abigail invested $2,900 in an account paying an interest rate of 2.8% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $4,050?
Answer:
Step-by-step explanation:
4050 = 2900 (1 + 0.028/4)^4t
4050 = 2900 (1.007)^4t
Divide all by 2900
1.3965517 = 1.007^4t
TURN LOG
log (1.3965517) = log (1.007^4t)
47.8819724 = 4t
11.9704931 = t
Round to nearest year = 12
T = 12
a mobile phone company reported a 160% increase in sales in one year. At the start of the year sales were 3 million. What was the sales increase over the year?
Answer:
4800000 increase in sales
Step-by-step explanation:
struggling help please)):
The price of an item yesterday was $160 today price fell $136 find the percentage decrease
Answer:
15%
Step-by-step explanation:
you just subtract it and convert it to percentplease helppppp meeee
Answer: It is the second answer (2)
Step-by-step explanation:
can someone solve this for me.
(25x - 15)°
What is the value of x
Answer: 5x-3
Step-by-step explanation:
(25x-15)
25/5x-15/5
5x-3
Answer:
5x-3?
Step-by-step explanation:
(5, 7, 9, 11, 12, 14, 19) find the mean and median
Answer:
The mean is 7 nd the median is 8
Step-by-step explanation:
What is the value of x in the equation x-7=11
Justin drove 804 miles in 12 hours.
At the same rate, how many miles would he drive in 5 hours?
Answer:
335 Miles
Step-by-step explanation:
804/12 = 67 MPH
5 × 67 = 335
HEEEEEEELLLLLPPP MMMMEEEEE
The length of the rectangle shown below is represented by the expression (x - 2)2. The width is represented by the expression (3x - 5). What is the area of the rectangle?
Answer:
(6x² - 22x + 20) square units
Step-by-step explanation:
The area of a rectangle is calculated as:
Length × Width
From the question
Length = (x - 2)2 = 2x - 4
Widths = 3x - 5
The area of the rectangle =
(2x - 4 ) × (3x - 5)
2x(3x - 5) -4(3x - 5)
6x² - 10x - 12x + 20
6x² - 22x + 20
The area of the rectangle =
(6x² - 22x + 20) square units
Can somebody plz help answer these questions correctly thanks!! (Only if u get this). C:
WILL MARK BRIANLIEST WHOEVER ANSWERS FIRST
Complete the factored form of the linear expression 21x + 14y = ( ) ( + )
Answer:
21x+14y
=7(3x+2y) taking common 7
Solve for h .
-98 = -7 h
PLEASE HELP ME
I will make you brainliest.
Given,
[tex] - 98 = - 7h[/tex]
[tex] \implies \: - 7h \: = - 98[/tex]
[ Firstly, Arrange it ]
Now,
[tex] \implies \: h = \cancel\dfrac{ - 98}{ - 7} [/tex]
minus sign minus sign are also canceled.
[tex] \implies \: h \: = 14[/tex]
hence,the value of h is 14 .
Jay spent 3.90 for 6 candy bars. Find the unit rate
Answer:
0.65
Step-by-step explanation:
divide 3.90 by 6
If 3 – 5x = 2, then x =
3-5x=2
or, -5x=-1
or, x= 1/5
The value of x is 1/5 for equation 3 – 5x = 2
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 3 – 5x = 2
Three minus five times of x equal to two
We need to solve for x
3 – 5x = 2
Subtract 3 from both sides
3-3-5x=2-3
-5x=-1
Divide both sides by -5
x=-1/-5
x equal to one by five
x=1/5
Hence, the value of x is 1/5 for equation 3 – 5x = 2
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Question Progress
1272
Simplify the following surds
a) 18
b) 12
c) 32
Will mark brainliest answer
Answer:
___________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
To simplify a surd , ensure that the number is expressed in such a way that it is the product of factors.Try to express the number as the product of 2 or more perfect squares (if any) because it makes the process of simplifying the surd easier.___________________________________________________________
According to the question ,
a) [tex]\sqrt{18} =\sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}[/tex]
b) [tex]\sqrt{12} =\sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}[/tex]
c) [tex]\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}[/tex]
HELP I’ll mark as Brainliest!!!
Answer:
C.
Step-by-step explanation:
......Srry if Wrong :(
Actually help pls people have been typing random stuff
Answer:
reading, chores, and then homework
Step-by-step explanation:
just accept it
On a map with a scale of 1 inch= 100 miles, the distance between two cities is 7.55 inches. If a car travels 55 miles per hour, about how long will it take to get from one city to another.
Answer:
13.73 hours
Step-by-step explanation:
On a map with a scale of
1 inch= 100 miles
the distance between two cities is 7.55 inches.
We convert from inches to miles
1 inch = 100 miles
7.55 inches = x
x = 7.55 × 100 miles
x = 755 miles
The distance between the two cities = 755 miles
If a car travels 55 miles per hour, about how long will it take to get from one city to another?
We are to calculate the Time
Speed = Distance /Time
Time = Distance/Speed
Hence, the time is calculated as:
755 miles/55 miles per hour
= 13.727272727 hours
≈ 13.73 hours
help please and thank you
Answer:
Angle A = 50
Step-by-step explanation:
Find the length of x.
help me please and thank you
Step-by-step explanation:
hlw bro or sis I don't know ur sis or bro but hloooo
can someone please help me
Answer:
2. 12
Step-by-step explanation:
Susan's fish tank has 16 liters of water in it. She plans to add 4 liters per minute until the tank has at least 64 liters. What are the possible numbers of minutes Susan could add water?
Use t for the number of minutes.
Write your answer as an inequality solved for t.
Answer:
64
Step-by-step explanation:
cause I did it in classs
We can think of 3 ÷ 1/4 as the answer to the question “How many groups of 1/4 are in 3?” What is the answer to the question
Answer: 12
Step-by-step explanation: 3*4/1 = 12/1 =12
What is the volume of a spherical water balloon with a radius of 6 inches?
Answer:
288πin³
Step-by-step explanation:
Volume of a sphere is expressed as;
V = 4/3πr³
r is the radius = 6 inches
Substitute into the formula
V = 4/3π(6)³
V = 4/3π(216)
V= 864/3π
V = 288π in³
Hence the volume of the sphere is 288πin³