(x-2)/(x+1)=1/2 . find x
Answer:
x=5
Step-by-step explanation:
(x-2)/(x+1)=1/2, we use that a/b = c/d is the same as a*d = c*b
2*(x-2) = 1* (x+1), distribute multiplication over subtraction
2x -4 = x +1 , subtract x and add 4 to both sides
2x -x = 1 +4, combine like terms
x = 5
Answer: x = 5
Solve:
Given
(x - 2) / (x + 1) = 1/2
Cross multiply applied
1 (x + 1) = 2 (x - 2)
Expand parentheses and apply the distributive property
x + 1 = 2x - 4
Add 4 on both sides
x + 1 + 4 = 2x - 4 + 4
x + 5 = 2x
Subtract x on both sides
x + 5 - x = 2x - x
x = 5
Check:
Left-hand side = (x - 2) / (x + 1) = (5 - 2) / (5 + 1) = 3/6 = 1/2
Right-hand side = 1/2
1/2 = 1/2
Hope this helps!! :)
Please let me know if you have any questions
Bananas are $0.59/pound what is the constant of proportionality?
Answer:
Step-by-step explanation:
y = k x
Total cost = y
number of pounds = x
constant = 0.59
Equation
y = 0.59 x
can someone answer these 2 questions
Find the measures of unknown angles.
Answer:
hope this helps you
god bless you
Jade purchased a game controller for $14.65 including tax. How much did she get from a twenty-five dollar bill?
Answer:
$5.35
Step-by-step explanation:
20-14.65=5.35
[tex]f(x) = 2x^{2} +5x-2[/tex]
Answer:
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
geometry #1 please will give brainliest
Step-by-step explanation:
If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.
A new cars salesperson, sold an average of $32,130 per day for the first 4 days she worked. The next 5 days she worked, she sold an average of $31,173. How much did she sell on average per day over the entire time she worked??
Answer:
$31,598.33
Step-by-step explanation:
she worked 4+5=9 days.
due the total average we need the total of sales and divide it by the length of the observation period (9 days).
how much did she sell in total on the first 4 days ?
well, the average times 4 = 32130×4 = $128520
how much did she sell in total during the following 5 days ?
31173×5 = $155865
so, the daily average is
($128520 + $155865) / 9 =$284385 / 9 = $31,598.33
a) If 8 workers can complete a piece of work in 18 days, how many workers are required to complete the work in 12 days? b) 20 labourers comnloto the . 1 T
Answer:
12 workers are required to complete the work in 12 days
Name a pair of adjacent complementary angles
9514 1404 393
Answer:
∠LJM and ∠MJN
Step-by-step explanation:
Ray JL forms a pair of right angles at J on line KN. Ray JM divides one of those right angles into two adjacent angles with a sum of 90°. Those two angles are adjacent complementary angles. They are ...
∠LJM and ∠MJN
find x step by step
Answer:
[tex] \frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11[/tex]
Answer:
x = 11 cm
Step-by-step explanation:
Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.
[tex]\triangle{ADE} \sim \triangle{ABC}[/tex]
Corresponding sides are in proportion, so
[tex]\frac{AD}{AB}=\frac{12}{16}[/tex]
The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so
[tex]\frac{x+1}{x+5}=\frac{3}{4}[/tex]
"Cross multiply" to get
[tex]4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11[/tex]
Reorder the numbers and combine like terms to simplify. 4.5 + 2 1/2 + 6.0 - 5 1/2
A. 8.5
B. 7.5
C. -7.5
D. 7m
Answer: B
Step-by-step explanation:
4.5+6=10.5
2 1/2 - 5 1/2 = 2.5 - 5.5 = -3
10.5 - 3 = 7.5
How do you simplify a fraction with a denominator of a variable like this
6x/x
Step-by-step explanation:
The x's will simply cancel each other out and you will be left with a 6
hope it makes sense
:)
Which answer choice correctly shows 450 written as a Roman numeral?
A. CCCCL
B. DMC
C. DCL
D.CDL
Answer:
D.(CDL)
Step-by-step explanation:
Answer:
CDL
Step-by-step explanation:
C is 100
D is 500
500-100=400
L is 50
400+50=450
How many solutions are there to the equation below?
6x+8 - 2x(7 - 2) = 2(6+1)
A. 0
B. 1
C. infinitely many
Answer:
B one solution
Step-by-step explanation:
Answer:
B - one solution
Step-by-step explanation:
6x+8−2x(7−2)=2(6+1)
Subtract 2 from 7 to get 5.
6x+8−2x×5=2(6+1)
Multiply 2 and 5 to get 10.
6x+8−10x=2(6+1)
Combine 6x and −10x to get −4x.
−4x+8=2(6+1)
Add 6 and 1 to get 7.
−4x+8=2×7
Multiply 2 and 7 to get 14.
−4x+8=14
Subtract 8 from both sides.
−4x=14−8
Subtract 8 from 14 to get 6.
−4x=6
Divide both sides by −4.
x=−46
Reduce the fraction −46 to lowest terms by extracting and canceling out 2.
x=−23
hope it helps :)
PLEASE HELP FAST
bx = -5
Ted mixed together 3 gal. of Brand A fruit
drink and 6 gal. of Brand B fruit drink
which contains 20% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 25% fruit juice.
Answer:
The mixture for Brand A fruit is 5%.
Problems 1 - 6, evaluate each expression for the given values of the variables.
1 5a + 4b - 3a - 7b+ 4a; a = -3 and b = 4
2. c6-1)-cm; b=5 and c= -2
3. 5x – 2xy + 3y: x=-5 and y=-2
4. -K -(7k - 4m); k=-2 and m = 4
5. 3(6x + 5y) - 2y: x = 3 and y=-3
6. 5(3m – n) – 4(2m- n); m=-8 and n=-11
Problems 7 - 14, combine like terms and simplify completely
Step-by-step explanation:
1) 5a+4b-3a-7b+4a
Add terms having 'a' and 'b' separately
=6a-3b
Now subtitute values of a and b :
=6(-3)-3(4)
=-18-12
=-30
2)c(6-b)-c²
=6c-bc-c²
Subtitute values of b and c:
= 6(-2)-(5)(-2)-(-2)²
=-12+10-4
=-6
3)5x²-2xy+3y
Subtitute values of x and y:
=5(-5)²-2(-5)(-2)+3(-2)
=5(25)-20-6
=125-20-6
=99
4)-k²-(7k-4m)
Subtitute values of m and k:
=-(-2)²-{7(-2)-4(4)}
=-4-(-14-16)
=-4-(-30)
=-4+30
=26
5)3(6x+5y)-2y
Subtitute values of x and y:
=3{6(3)+5(-3)}-2(-2)
=3(18-15)+4
=3(3)+4
=9+4
=13
6)5(3m-n)-4(2m-n)
Subtitue values of m and n:
=5{5(-8)-(-11)}-4{2(-8)-(-11)}
=5(-40+11)-4(-16+11)
=5(-29)-4(-5)
=-145+20
=-125
Note:If you have any question about it you can friendly ask.Thanks
In how many days could 20 boys do a peice of work which 25 boys can do in 32 days ?
baiiiiwiedujjjdjdhsb20
I need help dont just add both numbers ill give extra hundrend after you answer
Answer:
28
Step-by-step explanation:
According to the question,
2 helmets and 1 football cost $80, while 1 helmet and 2 football cost $76
Let x represent cost of football and let y equal cost of helmet.
Write the system of equations,
[tex]x +2 y = 80[/tex]
[tex]2x + y = 76[/tex]
Eliminate the x variable by multiplying the top equation by -2
[tex] - 2x - 4y = - 160[/tex]
[tex]2x + y = 76[/tex]
Add both equations.
[tex] - 3y = - 84[/tex]
[tex]y = 28[/tex]
So one helmet cost $28
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Answer:
The first choice.
Step-by-step explanation:
It pass through the x axis at x = 3, so a factor must be (x - 3).
Answer:
The first option is correct :)
~Hope this helps
Hello! I’ll take any help !!
Answer:
√73
Step-by-step explanation:
a^2+b^2=c^2
8^2+3^2=c^2
64+9=c^2
√73 =√c^2
√73 =c
can someone please help me with this?
Answer:
These are the missing numbers
Sec1
A. 12, 29/2, 17 (arithmetic)
C. 3/16, 3/32, 3/64 (geometric)
D. 17, 33, 65 (neither)
Sec2
A. 8, 48 (growth)
B. 16, 32 (growth)
C. 1, 2 (rate)
Step-by-step explanation:
Section 1
A. add by 2.5 or 5/2
C. multiply by 1/2
D. double the value-added
Section2
A & B. multiply by 2
C. add 1/2
what is 2 ÷ 3 = as a fraction???
Answer:
[tex]2 \div 3 \\ \frac{2}{3} [/tex]
How many solutions does the system have?
8x + 2y = 14
82 + 2y = 4
you can solve the equestion by many rules , but in my point of view the easiest rule is subtraction/addition and subtition method .
Ans X=11.5
Y = -39
8x+2y=14 eqn.......1
82+2y=4 eqn .......2
2y= -78 (4-82)
y = - 39
putting value of y in eqn ..1
we get,
8x+ 2×(-39) =14
8x= 14+78
8x=92
x = 92÷8
x=11.5
it's a subtition method..
A marathon is a 26-mile race. An athlete is running a marathon that eventually finishes at a local high school. After x minutes, the distance the athlete is from the school is given by y(in miles), where x+10y=260
If the runner ran for 40min from the start line, what is the remaining distance between the runner and the school?
Step-by-step explanation:
by deleted user on here.
1. The volume of a cube is 27 cubic inches. How long is its side? 3
If I'm not wrong, it should be 27cm^3. Hope this helps!!
Answer:
3
Step-by-step explanation:
[tex]\sqrt[3]{27}[/tex]
4 ÷ 1 1/8 Answer must be in simplest form
Answer:
4÷ 1 1 /8 = 32 /9 = 3 5 /9
I'm backk!! School has officially started... here we go again
+*♡ FREE QUESTION!! ♡*+
congrats? Im not sure what to say.
please help me with this ixl it would be much appreciated
Answer:
q=2,6
r=8,6
s=8,10
t=2,10
Answer:
Q= (-2, -6)
R= (-8, -6)
S= (-8, -10)
T= (-2, -10)
Step-by-step explanation:
Since the rotation is 180 degrees, change all of the numbers to the opposites/negatives.
Then, since the rotation is counterclockwise, switch all of the x and y values.
I hope this helps!
pls ❤ and mark brainiest pls!