[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5}) } \\ [/tex]
[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5} )} \times \frac{(3 - \sqrt{5} )}{(3 - \sqrt{5}) } \\ [/tex]
[tex] = \frac{1(3 - \sqrt{5}) + \sqrt{5} (3 - \sqrt{5} )}{ ({3})^{2} - { (\sqrt{5} })^{2} } \: \: [∵ {a}^{2} - {b}^{2} = (a + b)(a - b) ]\\ [/tex]
[tex] = \frac{3 - \sqrt{5} + 3 \sqrt{5} - 5 }{9 - 5} \\ [/tex]
[tex] = \frac{ - 2 + 2 \sqrt{5} }{4} \\ [/tex]
[tex] = \frac{2( - 1 + \sqrt{5} )}{4} \\ [/tex]
[tex] = \frac{ - 1 + \sqrt{5} }{2} \\ [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{}}}}}[/tex]
if John has 6 apples more than mark who has 2 apples but 1 one apple less than Lizy, how many apples does John have?
Meena's age is four times her daughter's age. Two years ago she was five times herdaughter's age. Find their present ages. pls explain step by step
Answer:
8 and 32
Step-by-step explanation:
let daughter's age be x then Meena's age is 4x
2 years ago daughter's age was x- 2 and Meena's age was 4x - 2
Meena was 5 times her daughter's age then , so
4x - 2 = 5(x - 2)
4x - 2 = 5x - 10 ( subtract 4x from both sides )
- 2 = x - 10 ( add 10 to both sides )
8 = x
Thus
daughter is 8 years and Meena is 4 × 8 = 32 years
If 2x minus 4 equals negative 18 what is x with shown work
Answer:
-7
Step-by-step explanation:
Equation: 2x - 4 = -18
First, add 4 to both sides:
2x = -14
Finally, divide both sides by 2:
x = -7
Check (optional):
2(-7) - 4 = -18
-14 - 4 = -18
-18 = -18 so this is correct
If you're confused about any of these steps, just let me know and I'll try to clear it up for you! :)
11. The sum of three consecutive odd integers is
93. Find the integers.
Answer:
29, 31, 33
Step-by-step explanation:
Determine the Type I error if the null hypothesis, H0, is: the percentage of homes in the city that are not up to the current electric codes is no more than 10%. And, the alternative hypothesis, Ha, is: the percentage of homes in the city that are not up to the current electric codes is more than 10%.
Answer:
..
Step-by-step explanation:
.
Please help simplify with work. Will give brainliest.
Answer:
[tex]162 {x}^{10} {y}^{4} {z}^{12} [/tex]
Step-by-step explanation:
[tex]2 {x}^{4} (9 {x}^{3} y^{2} {z}^{6} {)}^{2} [/tex]
➡️[tex] {9}^{2} \times ( {x}^{3} {)}^{2} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]
➡️ [tex]81 \times ( {x}^{3} {)}^{2} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]➡️ [tex]81 {x}^{6} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]➡️ [tex]81 {x}^{6} {y}^{4} \times ( {z}^{6} {)}^{2} [/tex]➡️ [tex]81 {x}^{6} {y}^{4} {z}^{12} [/tex]➡️ [tex]2 {x}^{4} \times 81 {x}^{6} {y}^{4} {z}^{12} [/tex]➡️[tex]162 {x}^{4} \times {x}^{6} {y}^{4} {z}^{12} [/tex]
➡️[tex]162 {x}^{4 + 6} {y}^{4} {z}^{12} [/tex]
➡️[tex]162 {x}^{10} {y}^{4} {z}^{12} [/tex] ✅
Help Me please ,I need help ,someone help me!
Step-by-step explanation:
Since the integers are consecutive,
let the smaller one be x
then the larger will be x+1
Now their sum is -15
x+x+1=-15
2x=-15-1
2x=-16
x=-8
Therefore the smaller is -8 and the larger is -7
Now when one is added to the smaller integer it becomes -8+1=-7
If 2 is subtracted from the larger one it becomes -7-2=-9
their product therefore becomes -9×-7=63
Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?
2.4 hours
2.5 hours
3.0 hours
4.0 hours
The answer is supposedly 2.4 hours, but how ?? Please explain. Thanks!
In one hour Randy cleans at least 1/4 of the offices and in one hour Trey cleans at least 1/6 of the offices.
Working together they would clean at least 1/4 + 1/6 = 5/12 of the offices.
Let x be the greatest amount of time it would take them to clean the offices together. Then we can write the following equation:
5x/12=1
What's the perimeter and
Area?
gejemmsmwmwkwkwjwgvwh9292i3hbezmalwlwjwhbebsnekalLmNabsheowo
Step-by-step explanation:
maaf klo salah:v
What are the dimensions of this rectangle?
Answer:
F:53cm by 102cm
Step-by-step explanation:
The perimeter of a rectangle can be seen as 2l + 2w, with the length being l, and the width being d. If the ratio is 3:2, then 3+2= 5 parts would be the sum of the length and the width, This is half of the perimeter 2(l+w), so 510÷2 = 255. One part would be 255÷5=51.
If you put it into the ratio, effectively it is:
Length:Width
3×51:2×51
153 :102
Therefore the dimensions are 153cm by 102cm, which is F.
I NEED HELP ASAP!! 45 POINTS!!
men are my favourite type of gender. They satisfy me so much, thank god.
4x + 7 + x
Can anyone help?
Answer:
5x + 7
Step-by-step explanation:
Given
4x + 7 + x ← collect like terms
= (4x + x) + 7
= 5x + 7
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{4x + 7 + x}[/tex]
[tex]\huge\text{= 4x + 7 + 1x}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{= (4x + 1x) + 7}[/tex]
[tex]\huge\text{= 5x + 7}[/tex]
[tex]\huge\text{Answer: \textsf{5x + 7}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Andy gets 8 hours of sleep every night for two weeks. How many total hours of sleep will he get in two
weeks? How many minutes of sleep will he get in two weeks? How many seconds will he get in two
weeks? (1 week = 7 days, 1 hr = 60 min, 1 min = 60 sec)
Answer:
112 hours
Step-by-step explanation:
1 week = 7 days
2 weeks = 14 days
= 14 × 8
= 112 hours
Translate 13 more than n to an algebraic expression
Answer:
13+n
Step-by-step explanation:
Answer:
13 + n
Step-by-step explanation:
This is because the known number is 13 times more than n so if the value of n is found, _+ 13_ will give you the final answer.
pls answer my question
Answer:
hope this helps you
have a great day
7.
Which kind of function best models the data in the table? Graph the data and write an equation to model the data.
A. exponential; y = 3x – 2
B. quadratic; y = x2 – 2
C. linear; y = –x – 2
D. linear; y = x – 2
Answer:
C. linear; y = –x – 2
Step-by-step explanation:
Answer:
Option A, linear; y = -x - 2
Step-by-step explanation:
Example-
x = 3
y = ?
? = -3 - 2 (add the negative number if in the case of subtracting a negative number)
? = -5
f(x) = 3x2 – x
Find f(10)
Answer: f(10) = 290
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given expression
f(x) = 3x² - x
Substitute values into the expression
f(10) = 3(10)² - (10)
Simplify exponents
f(10) = 3(100) - (10)
Simplify by multiplication
f(10) = 300 - 10
Simplify by subtraction
f(10) = [tex]\boxed{290}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the distance of 1 wavelength?
Answer:
The length of a wave is one way to measure its size. It's the distance between two neighboring waves' corresponding points, commonly measured in meters. The distance between two adjacent crests is used to calculate the wavelength of a transverse wave.
Step-by-step explanation:
:)
Trista has 8 mg of iron and 0.83 mg of tin.
How much more iron does she have than tin?
8.83 mg
7.17 mg
7.27 mg
71.7 mg
Here, we need to subtract the quantity of tin from the quantity of iron in order to find how much more iron Trista has than tin
The quantity of iron Trista has more than tin is 7.17 mg
Quantity of iron = 8 mg
Quantity of tin = 0.83 mg
Quantity of iron Trista has more than tin = Quantity of iron - Quantity of tin
= 8 mg - 0.83 mg
= 7.17 mg
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Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level?
The percent of questions that are intermediate is approximately %
(Round to the nearest whole percent as needed.)
X
3
VE
The required percentage of the 30 intermediate-level questions is 20%.
Given that,
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level is to be determined.
the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
the required percentage of the intermediate difficult question,
= 30 / 149 * 100
≈ 0.20 * 100
≈ 20%
Thus, the required percentage of the 30 intermediate level question is 20%.
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if the 6th term of an A.p is 11and its first term is 1 find the common diferent
Answer:
2
Step-by-step explanation:
In an AP, Tn = a + (n - 1)d
T6 = a + 5d = 11
The first term = a = 1
∴ T6 = 1 + 5d = 11
5d = 11 - 1
5d = 10
∴ d = 2
I hope this will help you :-)
Answer:
[tex]x6 = 11 \\ x1 = 1 \\ x6 \: can \: be \: written \: as \: x6 = x1 + 5d \\ x6 = 1 + 5d \\ 11 = 1 + 5d \\ 10 = 5d \\ d = \frac{10}{5} \\ d = 2 \\ thank \: you[/tex]
Please help! Please don't answer if you don't know!
Answer:
[-0.25 1.25]
[ ]
[-0.75 2.75]
If not satisfied than..
You can write it in other way as show in step by step
Step-by-step explanation:
Step 1:
First of all find the determinate.
Cross multiply the number 11 ✖ -1
detA = 11 × -1= -11 ---eq1
And now cross multiply the number 3 ✖ - 5
detA = 3 × -5= -15 ---eq2
Now we use eq 1 and 2
detA = (-11)-(-15)
Minus cancels minus
So it becomes
detA = -11 + 15
= 4
Step 2:
We find adjacent of the given.
[11 -5]
adjA= [ ]
[3 -1 ]
We change the places. The number 11 goes to in place of -1. -1 goes in place of 11.
And we change the signs of -5 and 3. -5 becomes 5 and 3 becomes -3.
We get
[-1 5]
adjA = [ ]
[-3 11]
Step 3:
Now we use the following formula
1
A^-1 = -------- adjA
detA
1 [-1 5]
A^-1 = ------- [ ]
4 [-3 11]
And now multiply
1
---- with each number of adjA.
4
And than subtract..
And you will get the inverse matrix
If the answer comes same than that's the answer for inverse matrix
Thank you.
solve for variable (image attached)
Answer:
x = 2
Step-by-step explanation:
Given
[tex]\frac{3(6x+8)}{4}[/tex] = 15 ( multiply both sides by 4 to clear the fraction )
3(6x + 8) = 60 ( divide both sides by 3 )
6x + 8 = 20 ( subtract 8 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
The value of x in the equation is 2
The equation given :
3(6x + 8) / 4 = 15
Multiply both sides by 4
3(6x + 8) = 15 × 4
3(6x + 8) = 60
Open the bracket
18x + 24 = 60
18x = 60 - 24
18x = 36
x = 36/18
x = 2
The value of x in the equation is 2
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by selling a cycle for rs 2250 ,the man loses rs 50 ,at what prize he sell to make a profit of rs 80?
Answer:
SELLING PRICE OF CYCLE = 2250RS
LOSS MAN SUFFERED = 50RS
Step-by-step explanation:
COST PRICE = SP + LOSS
CP = 2250 + 50
CP = 2300 RS
FORMULA OF PROFIT = SP - CP
TO MAKE PROFIT OF 80 RS
80 = SP - 2300
SP = 2380 RS
HE SHOULD SELL THE CYCLE AT 2380 TO MAKE PROFIT OF 80 Rs
Thank you
PLEASE MARK AS BRAINLIEST
Answer:
rs 2380
Step-by-step explanation:
→ Add rs 50 to the selling price to not make a profit or loss
2250 + 50 = 2300
→ Add rs 80 to the answer above
80 + 2300 = 2380
Roland purchased a new pair of shoes online that normally sell for $125.00 but were marked down to $93.75. What is the discount rate Roland received? (1 point)
O 10%
O 13%
O 25%
75%
Answer:
25%
Step-by-step explanation:
125.00x = 93.75
x = 93.75 / 125 = 0.75
meaning that 93.75 is 75% of 125
and, therefore, the item was discounted 100 - 75 % = 25%
You work at McDonalds making $12 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)
Answer:
$330
Step-by-step explanation:
working hours a day = 5 hours 30 minute
total working hours = 5 days × 5.5 hours
= 27 hours 30 minute
pay per hour = $12
total gross pay a week = 27.5 × $12
= $330
Find the mean of 9, 10, 3, 9, 2, 3 graphically.
Answer:
Mean=6
Sum of numbers= 30
Step-by-step explanation:
Explain what are all of the properties of real numbers and use an example for each.
Answer:
mark me as a brainlist answer
Step-by-step explanation:
Give examples to explain the properties of real numbers
Property (a, b and c are real numbers, variables or algebraic expressions)Examples8.Additive Inverse Property a + (-a) = 04 + (-4) = 09.Multiplicative Inverse Property10.Zero Property of Multiplication a • 0 = 04 • 0 = 011.Closure Property of Addition a + b is a real number10 + 5 = 15 (a real number)
Darel went to the mall and spent $41. He bought several t-shirts that ach cost
$12 and he bought 1 pair of socks for $5. How many t-shirts did Darel buy?
Answer:
3
Step-by-step explanation:
12x+5(1)=41
12x=-5+41
12x=36
x=36/12
x=3
12(3)+5(1)=
36+5=41
The number of students in high school has been increasing linearly since 1990. In 1997, there were 1125 students and in 2000, there were 1200 students.
Write an equation for the number of students as a function of the number of years since 1990.
Answer:
(x-1990)×25
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
The Equation is 25x-47500 as a function of the number of years since 1990.
To find equation for the number of students .
What is equation?Statement that the values of two mathematical expressions are equal.
Given that:
The number of students in high school has been increasing linearly since 1990.
In 1997, 1125 students and in 2000, there were 1200 students.
Increase the number of students in 1997-2000
=1200-1125=75
In 3 years 75 student increased
In 1st years 25 student increased
number of students that will increasing in 1990=25
Equation=(x-1900)*25
Equation=25x-47500
where x is date/year
So, the Equation is 25x-47500 as a function of the number of years since 1990.
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