Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{2x}{x+1}+\dfrac{3(x+1)}{x}=5[/tex]
Make the denominators the same:
[tex]\implies \dfrac{2x}{x+1} \cdot\dfrac{x}{x}+\dfrac{3(x+1)}{x} \cdot \dfrac{x+1}{x+1}=5[/tex]
[tex]\implies \dfrac{2x^2}{x(x+1)}+\dfrac{3(x+1)^2}{x(x+1)} =5[/tex]
Combine the fractions:
[tex]\implies \dfrac{2x^2+3(x+1)^2}{x(x+1)} =5[/tex]
Multiply both sides by x(x+1):
[tex]\implies 2x^2+3(x+1)^2 =5x(x+1)[/tex]
Expand the brackets:
[tex]\implies 2x^2+3(x^2+2x+1) =5x^2+5x[/tex]
[tex]\implies 2x^2+3x^2+6x+3 =5x^2+5x[/tex]
Combine like terms:
[tex]\implies 5x^2+6x+3=5x^2+5x[/tex]
Subtract 5x² from both sides:
[tex]\implies 6x+3=5x[/tex]
Subtract 5x from both sides:
[tex]\implies x+3=0[/tex]
Subtract 3 from both sides:
[tex]\implies x=-3[/tex]
Learn more about algebraic fractions here:
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2b - 19 = 11
Show explanation
Answer:
2b=11+19
2b=30
b=15
heyyyyyyyy guys
2b-19 = 11
+19 on each side
2b = 30
÷2 on each side so b is by itself
b=15
hope that helped^^
pls Help!.. help help help
Which ratio forms a proportiona with 5:15?
A: 10:20
B: 75:5
C: 3:1
D: 1:3
Answer:
C
Step-by-step explanation:
Answer:
Answer is D.1:3
Step-by-step explanation:
I hope it's helpful!
Ok so like last like night like I was like playing and like when I was like done playing I went to my room and like when I like went to my room I like 额我真的 and like it was like like so like crazy that I almost like died laughing
Answer: DUDE U GOT SO MANY "LIKE" IN ONE SENTENCE
Step-by-step explanation:
Answer:
like So like um.... like hit like the like heart like button like?
Step-by-step explanation:
i d k :/
I need this ASAP Joe needs at least $75 to take his mom
out for her birthday. So far he has
saved $30. He has 3 days to make the
money. Suppose he earns the same amount each
day,
write
an inequality to find out how much
he needs to earn each day. solve the inequality
Answer:
He will need to get 15$ a day
Step-by-step explanation:
So what u can do is subtract 30 from 75 u will get 45 divide that by 3 and u get 15. Hope it helps
how do you round to the nearest 10,000 in 1,995,298?
Answer:
The answer is 2,000,000
Step-by-step explanation:
15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes
Answer:
138
Step-by-step explanation:
120 x .15 = 18
120 + 18 = 138
Answer:
138Step-by-step explanation:
[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]
0.86 write the decimal as a fraction in simplest form
Answer:
43/50
Step-by-step explanation:
should be right.
Answer:
43/50
Step-by-step explanation:
86/100 divided by 2
Translations, reflections and rotations are all known as
transformations
hope it helps you
Complete this statement using >, <, or =
0.615 _____ 0.137
Answer:
0.615>o.137
Step-by-step explanation:
>
>>>>>>>>>>>>>>>>>>>>>>
it says what to do in the problem :)
Answer:
Step-by-step explanation:
1). (10x - 27)° = (2x + 29)°
10x - 27 = 2x + 29
8x = 56
x = 7
m∠W = (2(7) + 29)° = 43°
2). (14x + 4)° + 51° + 55° = 180°
14x + 110 = 180
x = 14
what is the solution to the system of equations?
please help me if you can
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
Help me please Thanks
Direction: Simplify each expression using Product Rule.
: (−
3)(23
) = −2(
3+1
1+3
)
= −2
1. (
2
)(
4
) = 6. (34
)(2
)(
3
)
2. (6
2
)(6
3
) = 7. (−6
2)(−3
3
5
)
3. (
2
)(
4
)(
2
) = 8. (2
2
)(3
4
)
4. (
1
2) (
1
2) = 9. (
1
3) (
2
3) =
5. (
3
5) (
1
5) = 10. (2
1
6) (−3
1
6)=
Answer:
pagal answer toone khoo
help please will give brainliest
Answer:
R=0.25
Step-by-step explanation:
Y=RX
2=R×8
2/8=8R/8
R=0.25
The ratio of 15 days to a week is
The ratio of 15 days to a week is 15 : 7.
[tex] \\ [/tex]
Explanation :Ratio of 15 days to a week :
[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: days}{1 \: week}[/tex]
[tex] \\ [/tex]
Now, we know that 1 week has 7 days.
[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: \cancel{days}}{7 \: \cancel{days}}[/tex]
[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15}{7}[/tex]
[tex] \sf : \implies 15 \: days : 1 \: week = 15 : 7[/tex]
[tex] \\ [/tex]
Hence, The ratio of 15 days to a week is 15 : 7.
19/100+7/10 wich fraction can be used in place of 7/10 to find the value of the expression
Answer:
70/100.
Step-by-step explanation:
When adding fractions, you need to find a common denominator.
This just means that the numbers at the bottom of both fractions you are adding must be the same.
So for 19/100 + 1/10, you need to match the two denominators (bottom numbers).
To do this, you need to multiply 10 by 10 to get 100.
What you do to the bottom, you must always do to the top as well.
So multiply 7 by 10 and get 70.
70/100 will replace 7/10.
Now you can add fractions because the bottom numbers are the same.
Select the correct answer from the drop-Cown menu.
The roots of the quadratic equation
are x= 2 + i.
Drop down options
x^2-4x-5=0
x^2+4x+5=0
x^2-4x+5=0
x^2+4x-5=0
The x=2+i is the root of the quadratic equation x²-4x-5=0. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the roots of the quadratic equation are x= 2 + i.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
A) x²-4x-5=0
Here, x=[4±√(16-20)]/2
x=[4±2i]/2
x=2±i
x=2+i or x=2-i
Therefore, option A is the correct answer.
To learn more about the solution of quadratic equation visit:
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Please I need help ASAP
Answer:
6, -4
Step-by-step explanation:
Not sure if correct but that's what I got
Find x and y. please help
Answer:
option c is the correct one according to me......
Quiana has 7 times more text messages from Yolanda than from Pierre. Quiana has 63 text messages from Yolanda. Which equation can be used to find how many text messages Quiana has from Pierre, p? A. 63p = 7 B. 7p = 63 C. 63 + p = 7 D. 7 + p = 63
Can you solve 1 and 2 please
i need help asap please and thanks
Answer:
It will be 29.39
Step-by-step explanation:
Hope this Helped
[tex] \sin ^{ - 1} ( \frac{4}{9}) = 26.39[/tex]
how many 1/5 of a liter can 1 1/2 bottle of water
Answer:
7 1/2
Step-by-step explanation:
3/2 divided by 1/5 = 3/2 * 5/1 = 15/2 = 7.5
Answer:
7 1/2 glasses can Lin fill.
Step-by-step explanation:
To know how many glasses can Lin fill with a 1 1/2 lite bottle of water, we have to divide:
According to this result, Lin can fill 7 glasses and one half, that's what means 7.5.
(hope this helps can i plz have brainlist :D hehe)
The number of students enrolled at a college is 17,000 and grows 6% each year.
Answer:
1020 new students per year.
Step-by-step explanation:
A florist used the equation Y=KX to determine how many flowers she'd need for 7 bouquets. She determined she'd need 175 flowers. How many flowers were in each bouquet?
Answer:
25
Step-by-step explanation:
because 175/7= 25
Abby needs 8 quarts of milk to make milkshakes for her class party. What would the equivalent amount of milk be in gallons
Answer:
2 gallons
Step-by-step explanation:
There are 4 (US) quarts in 1 (US) gallon.
Therefore, 2 gallons would equal 8 quarts.
4 + 4 = 8
Answer:
2, 2 gallons would be equal to 8 quarts
Step-by-step explanation:
4 quarts is a gallon so you would have 2
What is the maximum volume in cubic inches of an open box to be made from a 10- inch by 20-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative.
Answer:
192.5 in³
Step-by-step explanation:
The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.
Thus the volume V = lbh =
V = (20-2x)*(10-2x)*(x)
V = 4x³ - 60x² + 200x
On differentiating, we have dv/dx to be
dv/dx = 12x² - 120x + 200
Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113
This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.
You cut 2.113 inches from each corner to obtain the maximum volume.
The sizes of the cubes are
20 - (2 * 2.113) = 15.774
10 - (2 * 2.113) = 5.774
2.113
The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.
Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА
Ax = (x+6)(x-4)
OB.
Ay) = (x-6)(x + 4)
Oc.
Ax = (x + 6/(x+4)
OD. Ax) = (x-6)(x-4)
Answer:
A
Step-by-step explanation: