[tex] • \: {( \sqrt{3} )}^{x + y} = 9\: \: \: \: (i)[/tex]
[tex]• \: {( \sqrt{2} )}^{x - y} = 32 \: \: \: \: (ii)[/tex]
[tex] \\ [/tex]
[tex] \bf \purple{ \underline{To \: Find :- }}[/tex][tex] • {\sf{The \: value \: of}} \: \: 2x+ y.[/tex]
[tex] \\ [/tex]
[tex] \huge\bf \purple{ \underline{Solution :- }}[/tex]
[tex] \sf{From \: equation \: (i), }[/tex]
[tex] {( \sqrt{3} )}^{x + y} = 9 [/tex]
[tex]⇒ {( \sqrt{3} )}^{x + y} = ({ \sqrt{3} })^{4} [/tex]
[tex] ⇒ x + y = 4 \: \: \: \: (iii)[/tex]
[tex] \\ [/tex]
[tex] \sf{From \: the \: equation \: (ii)}[/tex]
[tex]{( \sqrt{2} )}^{x - y} = 32[/tex]
[tex] ⇒( { \sqrt{2} })^{x - y} =( { \sqrt{2} })^{10} [/tex]
[tex]⇒x - y = 10 \: \: \: \: (iv)[/tex]
[tex] \\ [/tex]
[tex]\sf{We \: have \: to \: add \: equation \: (iii) \: and \: equation \: (iv)}[/tex]
[tex] x + y + x - y = 4 + 10[/tex]
[tex] ⇒2x = 14[/tex]
[tex] ⇒x = 7[/tex]
[tex] \\ [/tex]
[tex] \sf{Subtracting \: equation \: (iii) \: from \: equation \: (ii), }[/tex]
[tex]x - y - x - y = 10 - 4[/tex]
[tex]⇒ - 2y = 6[/tex]
[tex]⇒y = - 3[/tex]
[tex] \\ [/tex]
[tex] \bf\therefore x = 7 \: \: and \: \: y = - 3[/tex]
[tex] \\ [/tex]
[tex] { \sf{Th e \: value \: of }}= 2x +y [/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2 \times 7 + ( - 3)[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =14 - 3[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =11[/tex]
[tex] \bf \red{Hence, \: the \: value \: of \: 2x + y \: is \: 11. }[/tex]
Alan has read 10% of a book. He has 81 more pages to finish. How many pages are there in the book?
Answer:
90
Step-by-step explanation:
100%-10%=90%
90%->81
10%->9
100%->9+81=90
Madeline is going to invest in an account paying an interest rate of 4.4% compounded
annually. How much would Madeline need to invest, to the nearest ten dollars, for
the value of the account to reach $16,600 in 12 years?
Answer:
$9540
Step-by-step explanation:
A = P(1 + r)^t
16600 = P(1.044)^12
P = 16600/(1.044)^12
P = $9,543.64
Help plssssssss
- Sorry it’s kinda a bad photo
Answer:
5
Step-by-step explanation:
Because if you divide them all you see that in 5 you don't get a whole number
the amusement park charges $20 to get in plus $1.50 per ride which linear equation represents this relationship y=1.5+20x,y=21.5x,y=1.5x+20,y=20x+1.5
Step-by-step explanation:
1.50 per ride tones X number of rides plus a 20 entrance fee
y= 1.5x + 20
what is 7.25-6.17=? in subtracting decimals
Answer:
1.08
Step-by-step explanation:
JUST REPOSTING THIS QUESTION UNTIL I GET A CORRECT ANSWER lol!
Answer:
3x+(8x+15=180
3x+8x+15)=180
11x+15=180
11=180-15
11x=165
x=165/11
x=15
The measure of an angle is nine times the measure of its supplementary angle. What is the measure of each angle?
Answer:
18 and 162
Step-by-step explanation:
Cube of a binomial (a - b)
Answer:
(a - b)³ = a³ - 3a²b + 3ab² - b³Step-by-step explanation:
Cube of a binomial (a - b)
(a - b)³ = a³ - 3a²b + 3ab² - b³A new car is purchased for 24600 dollars. The value of the car depreciates at 5.5% per year. To the nearest year, how long will it be until the value of the car is 11300 dollars?
Answer:
The number of years until the value of the car is 11300 dollars is 9 years.
Step-by-step explanation:
This can be calculated using the following formula:
Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)
Where;
N = Number of years until the value of the car is 11300 dollars
Purchase cost = $24,600
Annual depreciation rate = 5.5%
Annual depreciation expenses = $24,600 * 5.5% = $1,353
Value of the car = $11,300
Substituting the value into equation (1) and solve for N, we have:
$11,300 = $24,000 - ($1,353 * N)
$1,353 * N = $24,000 - $11,300
$1,353 * N = $12,700
N = $12,700 / $1,353
N = 9.38654841093865
Rounding to the nearest year as required by the question, we have:
N = 9
Therefore, the number of years until the value of the car is 11300 dollars is 9 years.
Step-by-step explanation:
Is value of X in the equation 6x+3+4x= 1/2(9+10x)
Answer:
x = 0.3
Step-by-step explanation:
6x + 3 + 4x = 1/2 (9 + 10x)
=> 10x + 3 = 1/2 *9 + 5x
=> 5x + 3 = 9 / 2
=> 5x = 9 / 2 -3
=> 5x = (9 - 6) / 2
=> 5x = 3 / 2
=> x = 3 / 10
=> x = 0.3
Hope it helps :)
raise c to the 8th power!
Answer:
c^8
Step-by-step explanation:
Answer:
you cant
Step-by-step explanation:
if c is a variable, then to put it to the power of anything, we would need to know what the value of c is.
Is Janelle correct? Yes, because the lines are not parallel. Yes, because the lines will intersect. No, because the lines are in the same plane. No, because the lines are perpendicular.
Answer:
Step-by-step explanation:
No, because the lines are in the same plane.
Find the midpoint of the line segment with end coordinates of:
(1,4) and (5,2) please help
Roberto is dividing his baseball cards equally between himself, his brother, and his 3 friends. Roberto was left with 9 cards. How many cards did Roberto give away? Write and solve an equation to solve the problem.
PLZZZ HELP MEE ILL GIVE BRAINLIEST AND 50 POINTS!!!
Answer:
The answer would be 45.
Step-by-step explanation:
5*9=45
Answer:
45
Step-by-step explanation:
First we count how many people he split it between which is 5 and we have to remember the key word here is equal so if he was left with 9 then everybody else did as well. so we multiply 5 times 9 which is 45
University students will draw a card from a deck of cards. They win a prize if they draw a card marked with a picture of a Texas longhorn. The probability of drawing a card
2
with a longhom is Plonghorn card
card) –
425 students will play the game. Using what you know about theoretical probability, predict how many students will draw a longhorn card.
2/85
Answer:
2/85
Step-by-step explanation:
It's easy.
check whether the given value is a solution to the equation. 3(y+8)=2y
- 6 y=30
Answer:
y = 03
Step-by-step explanation:
3(y+8) = 30
3y+24=30
3y=06
y = 06/2
y = 03
2y - 6y = 30
-4y = 30
y = - 15/2
Find the area of a semi circle if the diameter is 3m
Answer:
The radius of the circle=
3/2
1.5
Area of circle= Pi x radius^2
3.14 x 1.5^2
=7.06m^2
Since it's a semi circle
7.06/2
=3.53m^2
Hope it helps
ANSWER ASAP!!! PLS HELP.
u can only use these for 15, 16 & 17:
acute equilateral ,
obtuse scalene , right scalene , acute isosceles
Step-by-step explanation:
15 . It is an acute equilateral triangle.
16. It is an obtuse scalene triangle.
17. It is right scalene triangle.
Hope it will help :)
Kenneth Drew a scale drawing of an apartment the scale of the drawing was 2 meters:1 meter the living room is 6 m long in real life how long is the living room in drawing
Answer:
3 meters
Step-by-step explanation:
Given the scale drawing :
2m : 1m
Length of living room in real life = 6 m long
2 meter = 1 meter
Real life = scale drawing
If length = 6 meter long ;
using cross multiplication :
2 meter = 1 meter
6 meter = x
2x = 6
x = 6/2
x = 3 meter
Length of living room in drawing = 3 meters
help plz if u can. i need answer as well as explanation.
Answer:
X does not equal to -5,-2,-4
Step-by-step explanation:
Factor out the denominators and use inequality.
X+5=0 -> X=-5
X^2+6X+8=(X+2)(X+4)
X+2=0 ->X=-2
X+4=0 -> X=-4
Interval Notation:(−∞,−5)∪(−5,−4)∪(−4,−2)∪(−2,∞)(-∞,-5)∪(-5,-4)∪(-4,-2)∪(-2,∞)
{x|x≠−2,−4,−5}
nova u there + whats 300 times 60000
Answer:
18,000,000
Step-by-step explanation:
h
lol, easy 00 times 60000 is 18,000,000
How many hundreds are in 1 million
Answer:
10,000 hundreds
Step-by-step explanation:
Select the correct answer. .
Which number has a repeating decimal form?
A 15
B 11/25
C 3/20
D 2/6
Answer:
B
Step-by-step explanation:
I say B because 2 divided by 6 is .333333333 and so on and so forth.
Hope this helped!!
The length of CD is 12 units. C'D' is the image of CD under a dilation with a scale factor of k.
Which of these are true? Choose all that are correct.
Lucy, Luke, and Lilly went trick-or-treating on Halloween. After they finished, they compared the amount of candy they all had. Luke had twice the amount Lilly had, and Lucy had 15 less than 3 times the amount Lilly had. If together, they had 225 candies, how many candies did Lucy have? PLEASE HELP URGENT
Hi there!
Let think talk about these clues we have right now...
Luke is x2 more than Lily.
Luce is 45 less candy than Lily since 3 times 15.
225 candys in total...
Let make a random guess...
Lily: 70
Luke: 140
Lucy: 35
Total: 245
Now we know that there must be a half candy since it’s a odd number at the end of that...
Lily: 67.5
Luke: 135
Lucy: 22.5
Total: 225
But we are asked for only Lucy...
So the answer to this problem is 22.5.
What is the area? of this
Answer:
365 in^2
Step-by-step explanation:
15 - (5+3) = 7 which is the side of the rectangle.
7*20 = 140 is the area of the top rectangle
15*15 = 225 is the area of the bottom square
365 is the total area
Denise rode 3 kilometers on a bike. her friend clark rode 5000 meters on a bike
how much farther in meters did one person ride than the other?
[tex] \huge \purple{\tt{Answer:}} [/tex]
Denise rode 3 kilometres .
Clark rode 5000 metres which is 5 kilometres .
So , Clark rode 2 kilometres more than Denise .
Answer:
Step-by-step explanation:
1 km = 1000m
3km = 3000m
So difference = 5000 - 3000 = 2000m = 2km
Clark rode 2km more than denis
anyone know how to do this
PLZ HELP IM TRASH AT MATH
Answer:
C should be the answer.
Step-by-step explanation:
Square root of 50 is equal is 7.071.
7.071 is right in between 7 and 8, making it the right answer for C.
Answer:
C??
Step-by-step explanation:
I mean if you put it in the calculator, then you get 7.07 so... lemme know if im wrong :D
A line is parallel to y = 3x + 5 and
intersects the point (-2, 6). What is
the equation of this parallel line?
Start by entering this into point-slope form.
y- [?] = [](x
](x-[]).
Answer:
Im not like 100% sure but i think you answer is
y-6=3[x-(-2)]
y=6+3x+6
y=3x+12
And i believe that this is parallel to y
Answer:
y = 3x + 12Step-by-step explanation:
Parallel lines have same slope
Given line
y = 3x + 5The line that passes through (-2, 6) and with the slope of 3 is:
y - y₁ = m(x - x₁)y - 6 = 3(x - (-2))y - 6 = 3(x + 2)Convert the equation into slope-intercept form:
y - 6 = 3x + 6y = 3x + 6 + 6y = 3x + 12