Given :-
x = 3 + √8To find :-
x² + 1/x²Solution :-
According to Question,
x = 3 + √8 1/x = 1/3-√8 1/x = 1(3+√8)/(3+√8)(3-√8)1/x = 3+√8/3²-(√8)² 1/x = 3+√8/9-81/x = 3 + √8So that ,
x² + 1/x²(x + 1/x)² - 2( 3+√8+3-√8)²-29² - 281 - 279"The sum of a number and 7 divided by -3, is 2."
3/8(1/2f-4g) help please
The answer is 3/16f-12/8g
PLEASE HELP
If 87 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $3.25 and
total receipts for the concert was $291.75, how many of each went to the concert?
Answer: 51 Children and 36 Adults.
Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.
We know that x+z= 87
We also know that 3.25x+3.5z= 291.75.
We want to find the value of x and z. Then we solve the system of equations:
Multiply the first equation by -3.5 and add it to the second equation:
-3.5x-3.5z= -304.5
3.25x+3.5z= 291.75
-----------------------------------------------------------------------------------------------------------------
-0.25x=-12.75
x= -42.75 ÷ -0.25
x=51
----------------------------------------------------------------------------------------------------------------
Now we substitute the value of x in the first equation and solve for the variable z
51+z=87
z=87-51
z= 36
Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.
A carpenter has already shingled 10 garage roofs and is shingling roots at a constant rate of 9 per day
Write an eguation that models the number of garage roofs, 1, after t days,
an
ok
The equation that models the given situation is?
The equation that models the situation is f(t) = 10 + 9t.
The carpenter has already shingled 10 garage roofs . The initial amount he has already shingled is like a constant in the equation.
He shingles at a constant rate of 9 per day. This means each day the carpenter shingles 9 roofs.
let
f(t) = number of garage roofs the carpenter shingles
t = time in days.
If the carpenter shingles 9 roofs per day , he will shingle 9 × t roof for t days.
To model the equation where he had already shingled 10 roofs and his shingling rate, can be represented as follows:
f(t) = 10 + 9tread more: https://brainly.com/question/22965839?referrer=searchResults
A certain chemical the ratio of zinc the copper is 3 of 13 A jar of chemicals contains 377 grams of copper how many grams of zinc does it have
Answer:its 116 grams of zinc
Step-by-step explanation:
evaluate: 16^1/2 x 2^-3
Answer:
64
Step-by-step explanation:
16^1
---------------------- = 64
2 x 2 - ^3
Apply exponent rule
16^1 = 16
= 16
------------------
2x2 - ^3
16 = 2x 8
2 x 8
-----------
2 x 2 - ^3
Cancel the common factor <2>
8
---------
2-^3
Factor the number 8 = 2^3
2^3
----------
2-^3
Apply exponent rule.
= 2^3 - (-3) = 6
3- (-3) = 6
= 2^6
2^6 = 64
64 is the answer
Answer:
0.5
Step-by-step explanation:
[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]
[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]
[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]
[tex] \frac{1}{ 2} [/tex]
there are 21 ballons 4 are blue ballons 3 is green what is the total of blue ballons
Answer:
4 blue balloons.
Step-by-step explanation:
Answer: 14
Step-by-step explanation: 4 + 3 = 7 and there are 21 balloons 21 - 7 = 14. and thats how you get 14
What is 6.2% of 105 also please include what equation you use to find it
Answer:
6.51
Step-by-step explanation:
105×6.2/100
it gives 6.51
Purchased goods on credit from Mimi and Ana, RM300 and RM400 respectively. Btw this is account subject and can I know what is the debit and credit for this questions.
simplify the expression
90 + 4B - 2B - 7B
Simplify the expression
90 + 4B - 2B - 7B
Already in like terms, therefore
90+2B-7B
90-5B
Please Mark BRAINLIEST.
HELPP I HAVE 12 MINUTES LEFTT
Answer:
6
Step-by-step explanation:
When you need to estimate, if the number is .4 or below, bring it down (1.4 will now be 1.)
This goes for both 1.4
so, 1 + 1.
Next, you have 4.1 (which is also below .5, so .4 or below.)
It is 1 + 1 + 4.
That is 6. Hope this helps a bit ^^ :>
Answer:
(see explanation)
Step-by-step explanation:
Rounding to whole numbers,
1.4 rounds to 1
4.1 rounds to 4.
1+1+4 = 6
However, if you're rounding to the nearest 0.5,
1.4 rounds to 1.5
4.1 rounds to 4.0
1.5 + 1.5 + 4.0 = 7
64 hundredths + 8 hundredths add decimals
Answer:
0.72
Step-by-step explanation:
64 hundredths= 0.64
8 hundredths= 0.08
0.64 + 0.08 = 0.72
Answer:
.72
Step-by-step explanation:
You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.
Which one is the one?
Answer:
yes because are slopes are the same
Robert is making a scale model of his boat. The boat is 25 feet long. The scale he is uisng us 1 inch = 5 feet. How long is the scale?
Answer:
5 inches
Step-by-step explanation:
Maths Question - Topic Pythagoras
Please answer the question. Awarding 20 points
Answer:
h= 17.67 cm
Step-by-step explanation:
We have,
h=x
b=16 cm
p=7.5cm
Using Pythagoras Theorem,
h^2=p^2+b^2
h=√(7.5^2+16^2)
h=√(56.25+256)
h=√312.25
h=17.6705970471 cm
Find the value of x. NO LINKS AT ALL!!
Answer:
x= -7
The whole thing is just an awkward mirror but the lower triangle has an angle that is 1 degree smaller so the whole lower section is going to be bigger or smaller and the angle that mirrors the 80 degree angle is now 79 degrees which makes the other angle on that line 1 degree bigger which would be 101 so you put it in the expession to make it the equation -12x+17=101 and you solve for x which you would then get -7.
Divide. 3/5 divided by 4 =. 12/5 5/20 3/20 6/30
Answer:
3/20
Step-by-step explanation:
3/5 ÷ 4
Copy dot flip
3/5 * 1/4
Multiply
3/20
HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity divided by 9.
[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]
Step-by-step explanation:
Given fractional expression:
(4x+3)/5 = (8x-1)/9
By doing cross multiplication, we get
⇛4x(9) + 3(9) = 8x(5) - 1(5)
⇛36x + 27 = 40x - 5
Now, combine the like terms in one side.
⇛27x - 40x = -5 + 36
⇛-13x = 31
⇛x = 31/-13 Ans.
Choose the system for this graph
9514 1404 393
Answer:
C
Step-by-step explanation:
Judging by the answers, the lines have slopes of 7/3 and 2/5. (We could verify this by close examination of the graph.) The shading is above (greater than) the line with the smaller slope value (2/5), and below (less than) the line with the steeper slope value (7/3).
That means we're looking for a pair of inequalities with the symbols ...
y ≥ 2/5x ...
y ≤ 7/3x ...
This combination is found in choice C.
find me < 7 and m < 8 pls
Answer:
∠8 is 105° and ∠7 is 75°
Step-by-step explanation:
Angles 4 and 8 are corresponding angles, and are congruent.
Angles 8 and 7 are a linear pair
x - 2/2 = 3x + 8/4
A. 12
B. -24
C. 16
x-2/2=3x+8/4
x-1=3x+2
-x. -x
-1=2x+2
-2. -2
-3=2x
÷2. ÷2
-3/2=x
2. Louis kept losing money through a hole in his pocket. He started with 35€, lost 20€.
put in 754 more, spent 43¢ lost 16¢ again, and then put in 14¢. How much change should
there be in his pocket?
Your answer should be 724 cents, in dollars that is $7.24
Step-by-step explanation:
from the cents is shoes be 724 and the dollars souls be $7.24
In the number 6855 is the 800 1/10 of 6000
Answer:
No
Step-by-step explanation:
Can you help me
algebra 1
See the picture above for the solution.
3. Emma said that when you multiply three negative decimals , the product will be positive . Use these numbers to answer the questions: -2.5,-3.8,-2.; .7, - 4.5
Part A: Is Emma's statement always true, sometimes true, or always false? Write two equations to support your answer.
Part B: Write a rule for multiplying three negative decimals .
Part C Emma changed her statement to say that when you multiply two negative decimals and a positive decimal the product will be positive Emma's new statement always true , sometimes true or always false ? Write two equations to support your answer
Using multiplication signal rules, it is found that:
A: Emma's statement is always false.
B: The result is always negative.
C: Emma's statement is always true.
The rule used for this exercise is as follows:
When two numbers of different signals are multiplied, the result is negative.When two numbers have the same signal, the result is positive.Part A:
Three numbers are multiplied, all negative.The multiplication of the first two result in a positive number.Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.Two examples are:
[tex]-2.5(-3.8)(-2) = 9.5(-2) = -19[/tex]
[tex]-2.5(-2)(-0.7) = 5(-0.7) = -3.5[/tex]
Part B:
The rule is that the result is always negative.
Part C:
The multiplication of the first two negative numbers result in a positive number.Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.Two examples are:
[tex]-2.5(-3.8)(2) = 9.5(2) = 19[/tex]
[tex]-2.5(-2)(0.7) = 5(0.7) = 3.5[/tex]
A similar problem is given at https://brainly.com/question/24764960
Ms. Reynold's sprinkler system has 4 stations that water all parts of her front and back lawn. Each station
runs for an equal amount of time. If it takes 36 minutes for the first 3 stations to water, how long does it
take to water all parts of her lawn?
It will take 46
minutes for Ms. Reynold to water her lawn.
Answer:
It will take 48 minutes to water all parts of her lawn.
Step-by-step explanation:
Each section runs for an equal amount of time
3 sections have run for 36 minutes
36 divided by 3 is 12, meaning each section runs for 12 minutes
12 times 4 is 48
What is a pair of alternate interior angles?
Answer:
D. ∠2 and ∠8
Step-by-step explanation:
common sense lol
In a circle, an angle measuring 2.2 radians intercepts an arc of length 34.9. Find the radius of the circle to the nearest 10th.
Answer:
xx=15.86
Step-by-step explanation:
Write an equation in slope intercept form for a
line that passes through (8,-3) and has a slope
of
2/3
9514 1404 393
Answer:
y = 2/3x -25/3
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx +b . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx
Using the given values for x, y, and m, we find the intercept to be ...
b = -3 -2/3(8) = (-9 -16)/3 = -25/3
Then the equation of the line is ...
y = 2/3x -25/3
If a sum invested gains 10% each year how long will it be before it has doubled its
value?
Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.
The equation for an increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial amount.r is the growth rate, as a decimal.In this problem:
Gains 10% each year, thus [tex]r = 0.1[/tex].The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:
[tex]A(t) = A(0)(1.1)^t[/tex]
[tex]2A(0) = A(0)(1.1)^t[/tex]
[tex](1.1)^t = 2[/tex]
[tex]\log{(1.1)^t} = \log{2}[/tex]
[tex]t\log{1.1} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]
[tex]t = 7.3[/tex]
It will be 7.3 years before the value is doubled.
A similar problem is given at https://brainly.com/question/23008760