Answers
Answer:
10√6 ; √5/6 ; 42√14
Step-by-step explanation:
1) - factorise 240
240/ 2 = 120
120/2 = 60
60/2 = 30
30/2 = 15
15/3 = 5
5/5 = 1
240 = 2^4 * 3 * 5
- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex] by dividing the index of the radius and the exponent by 2
[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]
- factorise 12
12/2 =.6
6/2 = 3
3/3 = 1
12 = 2^2 * 3
- simplify [tex]\sqrt{2^2 *3}[/tex]
[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]
- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]
number : number = 4/2 = 2
square : square = √15 / √3 = √5
[tex]2\sqrt{5}[/tex]
- multiply √30 with 2√5
number x number = 2x1 = 2
square x square = √30 x √5 = √150
2√150
- factorize 150
150/ 2 = 75
75/3 = 25
25/5 = 5
5/5 = 1
150 = 5^2 x 2 x 3
- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]
[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]
- multiply 2 and 5
10√6
2) remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]
- rewrite the expression in this way
[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]
- solve the squares of the denominators
√5/3 + √5/12 -√5/4
- rewrite the fraction with the same denominator = 12
(4√5 + √5 - 3√5)/12
- simplify the numerators by sum the numbers
2√5/12
- divide 2 and 12
√5/6
3)
- multiply 3√2 and √14
number x number = 3 x 1 = 3
square x square = √2 x √14 = √28
3√28
- factorise 28
28 = 2^2 x 7
- simplify [tex]\sqrt{2^2 *7}[/tex]
[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]
- multiply 3 and 2
6√7
- factorise 98
98/2 = 49
49/7 = 7
7/7 = 1
98 = 7^2 * 2
- simplify [tex]\sqrt{7^2 * 2}[/tex]
[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]
- multiply 6√7 and 7√2
number x number = 42
square x square = √14
42√14
Related Questions
The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answers
Answer:
price of an adult ticket = a = $7
price of a student ticket = s = $6
Step-by-step explanation:
price of an adult ticket = a
price of a student ticket = s
7a + 7s = 91 (1)
14a + 12s = 170 (2)
Multiply (1) by 2
7a + 7s = 91 (1) × 2
14a + 14s = 182 (3)
14a + 12s = 170 (2)
Subtract (2) from (3) to eliminate x
14s - 12s = 182 - 170
2s = 12
s = 12/2
s = 6
Substitute s = 6 into (1)
7a + 7s = 91 (1)
7a + 7(6) = 91
7a + 42 = 91
7a = 91 - 42
7a = 49
a = 49/7
a = 7
price of an adult ticket = a = $7
price of a student ticket = s = $6
Line a passes through points
(-2,1) and (2,9). Which equation
is an equation of a line parallel
to line a?
a) y = -2x + 5
1
b) y=-=x+5
2
1
y = -x-5
c) y=*
d) y = 2x - 5
Answers
Answer:
The answer is A! I got it right on pluto
Kate is one year and six months younger than her sister. If her sister is 14 years and 2 months old,
how old is Kate?
Answers
What is the volume of a cylinder that has the following measurements? area of each base: 50.24 ft2 area of lateral surface: 75.36 ft2 height of cylinder: 3 ft 128.6 ft 3 226.08 ft 3 150.72 ft 3 175.84 ft 3
100 points bad answers will get banned and reported
Answers
Answer:
150.72 ft³Step-by-step explanation:
Given:
Area of the base :
B = 50.24 ft²Height of cylinder:
h = 3 ftThe volume is:
V = BhV = 50.24*3 = 150.72 ft³Answer:
150. 72 ft³.#CarryOnLearningSolve the following quadratic by
completing the square.
y = x2 – 8x + 5
Answers
Answer:
x = 4 ± √11
Step-by-step explanation:
hello :
x²-8x+5= x² -2(4 )(x)+5
x²-8x+5= x² -2(4 )(x)+5 = ( x² -2(4 )(x) +4²) -4²+5
= (x-4)²-11 .....( completing the square )
x²-8x+5= 0 means : (x-4)²-11 = 0
(x-4)²=11 but : 11 = (√11)² = ( - √11)²
x-4 =√11 or x-4 = -√11
x = 4 ± √11
Answer:
x = 4 ± [tex]\sqrt{11}[/tex]
Step-by-step explanation:
To solve the equation let y = 0 , that is
x² - 8x + 5 = 0 ( subtract 5 from both sides )
x² - 8x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 5 + 16
(x - 4)² = 11 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{11}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{11}[/tex]
If the triangle is reflected over the y axis what coordinate pair would be contained within the triangle
Answers
Answer:
(-4,-4)
Step-by-step explanation:
The reflected triangle will be in the third quadrant. Option 2 is in the first quadrant, option 3 is in the first quadrant as well, and option 4 is in the second quadrant. That leaves option 1, which you can see is in the third quadrant. Option 1, (-4,-4), is the only plausible solution.
The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answers
Answer:
x = price of adult tickets = $7
y = price of students tickets = $6
Step-by-step explanation:
Let
x = price of adult tickets
y = price of students tickets
7x + 7y = 91 (1)
14x + 12y = 170 (2)
Multiply (1) by 2 to
14x + 14y = 182 (3)
14x + 12y = 170 (2)
Subtract (2) from (3) to eliminate x
14y - 12y = 182 - 170
2y = 12
y = 12/2
y = 6
Substitute y = 6 into (1)
7x + 7y = 91 (1)
7x + 7(6) = 91
7x + 42 = 91
7x = 91 - 42
7x = 49
x = 49/7
x = 7
x = price of adult tickets = $7
y = price of students tickets = $6
please help me
giving brainliest
Answers
Answer:
12,713 lbs
Step-by-step explanation:
1 ton = 2,000 lbs
So,
6(2,000) + 713 = 12,713 lbs
Find the area of the circle.
50.24 in?
803.84 in?
d= 8 in.
25.12 in?
12.56 in?
200.96 in?
Answers
Answer:
The answer is 50.24
Step-by-step explanation:
Equation is: 3.14 times 4²
Radius is 1/2 the diameter
Which is the number name for 32.611? thirty-two and ciy bundrom
Answers
Answer:
Winnipeg.
Step-by-step explanation:
Shirlee cleans house as a side job, this weekend she made $425. If she puts 15% towards her savings how much will she put in her savings account?
Answers
Answer:
$63.75
Step-by-step explanation:
Find how much she will put in her savings account by finding 15% of 425
Multiply 425 by 0.15:
425(0.15)
= 63.75
So, Shirlee will put $63.75
Answer:
$63.75
Step-by-step explanation:
Since percent is out of 100. 15% divided by 100%, multiplied by 425.
ANSWER FOR BRAINLIEST:
The mean of Tom’s scores on 5 tests was 77.4%. The scores on his first four tests were 88, 77, 70, and 72. What was Tom’s score on his fifth test?
Answers
Answer:
Tom got 80% on his fifth test
Question 3 (1 point)
Find AC. Round to the nearest tenth.
10
1050
12
c
a
AC = 306.1
b
AC = 10.3
ОООО
AC = 17.5
d
AC = 16.6
Answers
A westbound train travels 16 miles per hour slower than the eastbound train. If two trains are 800 miles apart after 5 hours what is the rate of the westbound train?
Answers
Answer:
6
Step-by-step explanation:
The rate can be calculated as follows
x + x -16
2x-16
(2x-16)×5
10x - 80= 800
10x = 300-80
10x, = 220
x = 220/10
= 22
22-16
= 6 mph
Hence the rate of the west bound tsin is 6mph
given the function w(t) = 15t - 1, w(-1/3)=?
Answers
Answer:
-6
Step-by-step explanation:
Plug in -1/3for t
W(-1/3)=15(-1/3)-1=-5-1=-6
Answer:
-6
Step-by-step explanation:
substitute -1/3 into w(t) = 15t - 1
=> w(-1/3) = 15(-1/3) - 1
=> w(-1/3) = -6
i will need the answer for this
Answers
Answer:
Hello! r would equal 0.4. To do this, first subtract 4 from both sides. So (10r+4-4=8-4). You are then left with 10r=4. So then you divide both sides by 10. 10r/10=4/10. So you are left with 0.4. r=0.4
Step-by-step explanation:
The function g(x) represents the amount of money in a savings account x years after it is opened.
What does the statement, g(10) - g(9) = $5,000, represent?
A.
The initial balance of the account was $5,000.
B.
Between nine and ten years after opening the account, the balance shrank by $5,000.
C.
Between nine and ten years after opening the account, the balance grew by $5,000.
D.
Ten years after opening the account, the balance was $5,000.
Answers
Answer:
C
Step-by-step explanation:
Between nine and ten years after opening the account, the balance grew by $5,000.
Between nine and ten years after opening the account, the balance grew by $5,000. The correct answer would be an option (C)
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function g(x) represents the amount of money in a savings account x years after it is opened.
The statement g(10) - g(9) = $5,000 represents the difference in the balance between 9 and 10 years after opening the account, and since the difference is positive, it means that the balance grew by $5,000.
Hence, the correct answer would be an option (C)
Learn more about the function here:
brainly.com/question/12431044
#SPJ2
Rosa earned a total of $34 by selling 17 cups of lemonade. How many cups of lemonade does Rosa need to sell in all to earn $46? Assume the relationship is directly proportional.
Answers
Answer:
23
Step-by-step explanation:
Because 2 dollar each cup. so 2 times 23 is $46. 5 star if this help thanks:)
Jada earns $7 per hour mowing her neighbors’ lawns. Identify the independent variable in this situation, and write the letter that you would like to use to represent it.
And Identify the dependent variable and write the letter that you would like to use to represent it.
Answers
You could use any letter to represent it but I would use l for lawn
The dependent variable would be the amount I earn, $7,
Again you could use any letter to represent it but I would use d for dollar
the value of y varies directly x, and when x = 5y=25. What is the value of y when x is 20?
Pls ASAP T.T
Answers
Answer: i don't think its possible for 20 to equal 5y and 25 the reason why is because for 5y to equal 20 y=4 that may be the answer but im not completely sure if it was supposed to be 20=x and 5y+25=x
Step-by-step explanation:
if it was supposed to be 20=x and 5y+25=x the new equation would be 5y+25= 20 you then divide 5 from both sides. and get y=4
but if the equation was supposed to be x+5y=25 and x equals 20 then y would equal 1
Answer quickly please
Answers
Answer:
d is the answer
Step-by-step explanation:
ILJ and JKI
PEOPLE YOU ARE SMARTER THAN ME HELP
Answers
Answer:
1/2
Step-by-step explanation:
Answer: 1/2
length of A is 6 units
length of B is 3 units
dilated / original
3/6 simplified is 1/2
Someone help PLZ make sure it’s right if it is will mark brainiest
Answers
Answer:
The measure of the indicated angle to the nearest degree is 68°
Step-by-step explanation:
hope it helps
(2N/6N+4) (3N+2/3N-2
Answers
Do you need all the process?
It’s a graph please help
Answers
Answer:
(2;6)
Step-by-step explanation:
it will be in first quarter
Someone help plz make sure it’s right no websites plz if right will mark brainiest
Answers
Answer:
Step-by-step explanation:
tangent is oppisite over adjacent so 24/32 which simplifies to 3/4
Answer:
3/4
Step-by-step explanation:
Tan A= Opp/ Adj
Tan A= 24/ 32
Tan A= 3/4
76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)
Answers
Answer:
98.8 cm²
Step-by-step explanation:
Hi there!
[tex]A=\frac{1}{2} Pa[/tex] where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)
1) Find the perimeter
[tex]P=5l[/tex] where l is the side length
Plug in the side length 7.6 cm
[tex]P=5(7.6)\\P=38[/tex]
Therefore, the perimeter of the pentagon is 38 cm.
2) Find the area
[tex]A=\frac{1}{2} Pa[/tex]
Plug in the perimeter (38) and the apothem (5.2)
[tex]A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8[/tex]
Therefore, the area of the pentagon is 98.8 cm².
I hope this helps!
Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What
distance will Dallas run from point A to point B?
30 yards
48 yards
50 yards
98 yards
Answers
Answer:
B 48 yards
Step-by-step explanation:
Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has the lower SAT range relative to the resources invested per student (lower, as SAT range is a measure of inequality, which we want to minimize as much as possible).
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
Answers
SAT average divided by teachers per student
Question 2:
Yes. According to both definitions, school A has the higher SAT average relative to the resources invested per student.
Explain how you know that √10 is between 3 and 4? what would your estimate of √10 be??
Dont try and say the answer in a mf file i have to download lol
Answers
Answer:
Step-by-step explanation:
Welllllll.....
If you take the square root of 9, it's 3
if you take the square root if 16, it's 4
I would guess it to be about 3.2
Answer:
Step-by-step explanation:
Lily , we know that [tex]3^{2}[/tex] =9 and [tex]4^{2}[/tex] = 16 so we know that [tex]x^{2}[/tex] = 10 , where 10 is an answer to x squared, then X lies between 3 and 4 , see?
