Answer:
[tex] - \frac{x + 2a}{3a + x} [/tex]
Step-by-step explanation:
[tex] \frac{ {x + ax - 2 {a}}^{2} }{3a {}^{2} - 2ax - {x}^{2} } [/tex]
i) write ax as a difference
[tex] \frac{ {x}^{2} + 2ax - ax - 2 {a}^{2} }{3 {a}^{2} - 2ax - x {}^{2} } [/tex]
ii) write -2ax as a difference
[tex] \frac{ {x}^{2} + 2ax - ax - 2a {}^{2} }{3a {}^{2} + ax - 3ax - x {}^{2} } [/tex]
iii) factor out x from the expression
[tex] \frac{x(x + 2a) - ax - 2 {a}^{2} }{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]
iv) factor out -a from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]
v) factor out a from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - 3ax - {x}^{2} } [/tex]
vi) factor out -x from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - x(3a + x)} [/tex]
vii) factor out x+2a from the expression
[tex] \frac{(x + 2a)(x - a)}{a(3a + x) - x(3a + x)} [/tex]
viii) factor out 3a+x from the expression
[tex] \frac{(x + 2a)(x - a)}{(3a + x)(a - x)} [/tex]
ix) factor out the negative sign from the expression and rearrange the term
[tex] \frac{(x + 2a)( - ( - a - x))}{(3a + x)(a - x)} [/tex]
x) reduce the fraction a-x
[tex] \frac{(x + 2a)( - 1)}{(3a + x)} [/tex]
[tex] - \frac{x + 2a}{3a + x} [/tex]
A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?
A= 110.9 cm3
B= 348.3 cm3
C= 673.8 cm3
D= 2926.1 cm3
Answer:
Option D: 2926.1 cm³
Step-by-step explanation:
Dimensions of the cylidrincal soup can are given as;
Radius; r = 8.4 cm
height; h = 13.2 cm
Formula for area of cylinder is;
A = πr²h
Plugging in the relevant values gives;
A = π × 8.4² × 13.2
A = 2926.05 cm³
Approximating to the nearest tenth gives;
A = 2926.1 cm³
Solve for g .
g + (-5) = 27
g =
Final Answer: [tex]g = 32[/tex]
Steps/Reasons/Explanation:
Question: Solve for [tex]g[/tex]. [tex]g + (-5) = 27[/tex]. [tex]g[/tex] = ?
Step 1: Remove parentheses.
[tex]g + -5 = 27[/tex]
Step 2: Simplify [tex]g + -5[/tex] to [tex]g - 5[/tex].
[tex]g - 5 = 27[/tex]
Step 3: Add [tex]5[/tex] to both sides.
[tex]g = 27 + 5[/tex]
Step 4: Simplify [tex]27 + 5[/tex] to [tex]32[/tex].
[tex]g = 32[/tex]
~I hope I helped you :)~
In August, the Simons' water bill was $48. In September, it was $50. Calculate the percent increase and round to the nearest percent?
41%
400%
40%
4%
Answer:foooo
Step-by-step explanation:
help!!!!!please!!!!!!!
4x = 64 + 200
what is x
x=66
Step-by-step explanation:
4x = 200 + 64 > 4x = 264 > x= 66
Answer:
x=66
Step-by-step explanation:
Steps
4x=64+200
4x=264
x=66
The manufacturer of Pepsi claims that its 2-liter bottles contain, on average, no more than 250 calories. A sample of 20 2-liter bottles, which were checked for calories, containsa mean of 255 calories with a standard deviation of 5.6 calories. Assume that the calorie count has a normaldistribution. Does the sample information indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Answer:
Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Step-by-step explanation:
Null Hypothesis [H0] : u < 250
Alternate Hypothesis [H1] : u > 250 {One Tail}
t = (x' - u) / [ sd / √n ]
= (255 - 250) / (5.6 / √20)
5 / (5.6 /√20)
= 3.99
As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.
what is the answer to 5/6 times 4/3 =
Answer:
[tex]\frac{10}{9}[/tex]
Step-by-step explanation:
Answer: 10/9 or 1.111111111
Step-by-step explanation:
Drag the phrases into the box to match each expression. 4x – 5 4 (x – 5) 4 ( x + 5) 5 less than the sum of 4 and a number 5 less than the product of 4 and a number the product of 4 and the difference of a number and 5 4 more than the sum of a number and 5 5 more than the product of 4 and a number the product of 4 and the sum of a number and 5 4 more than 5 less than a number
Answer:
4x – 5
4 (x – 5)
4 ( x + 5)
5 less than the sum of 4 and a number
5 less than the product of 4 and a number
the product of 4 and the difference of a number and 5
4 more than the sum of a number and 5
5 more than the product of 4 and a number
the product of 4 and the sum of a number and 5
4 more than 5 less than a number
2. The sum of two numbers is 67 and their difference is 3. Find the two numbers.
Answer:
35 and 32
Step-by-step explanation:
35 and 32
because when we add 35 and 32 then their sum is 67
when we subtract 35 and 32 then their difference is 3
I hope u understand it
what is wswssssssssss 4+4?
Answer: 4+4=8
Hope this helps :)
Step-by-step explanation:
Say you have four apples, and your friend gives you four more. You put together the amount of apples you have and you get 8.
the basement of a building is 40 feet below ground level . the elevator rises of 5 feet per second . you enter the elevator in the basement write an equation that represents the height y (in feet) of the elevator
Answer:
y=5x-40
Step-by-step explanation:
It says 5 feet per second, so you know that is the rate/speed. The rate is always going to be x. The building starts in the basement which is -40 because the basement is under ground level, so it would be less then 0 (ground level) and y is the final height you are at.
please help
Your mom gives you $30 to buy some books. Write the money you have left as a function of the cost of books. Let
b represent the cost of books, and s represent the money you have left.
Answer:
D
Step-by-step explanation:
because b - 30 = s your buying something and subtacting from the money you had before
Mr.Farrar spent a total of $43.87 after tax on new clothes at a clothing store. He brought 1 pair of sandals for $8.02 t-shirts fo $9.49 each and 1 pair of jeans. The tax on the purchase was $2.87 how much did Mr.Farrar pay for the pair of jeans?
Answer:
43.87 - 8 = 35.87 (sandals)
9.49 + 9.49 = 18.98 ( for two t-shirts)
35.87 - 18.98 = 16.89 (t-shirts)
16.89 - 2.87 = 14.02 (taxes)
Andrea payed $14.02 for a pair of jeans
Hopes this helps you!
Step-by-step explanation:
if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?
Step-by-step explanation:
x² + 16x + 64 = (x + 8)². Hence p = 8.
Since (x + 8) is a factor of 4x² + 37x + k,
4(-8)² + 37(-8) + k = 0. (by Factor Theorem)
=> 256 - 296 + k = 0
=> k - 40 = 0
=> k = 40.
The value of k is 40.
NEED HELP WIT DIS ASAP PLS ITS THE FINAL
Answer:
it's a or c
Step-by-step explanation:
the sum of the first six terms of a G.P is 9 times the sum of the first three terms . what is the first term ?
Without any more information, the first term can be any number.
Let a be the first term in the geometric progression, and let r be the common ratio between consecutive terms. Then
a + ar + ar ² + ar ³ + ar ⁴ + ar ⁵ = 9 (a + ar + ar ²)
ar ³ + ar ⁴ + ar ⁵ = 8 (a + ar + ar ²)
r ³ + r ⁴ + r ⁵ = 8 (1 + r + r ²)
r ³ (1 + r + r ²) = 8 (1 + r + r ²)
r ³ = 8
r = 2
Now with this ratio, the sum of the first six terms is
a (1 + r + r ² + r ³ + r ⁴ + r ⁵) = a (1 - r ⁶)/(1 - r) = 63a
while the sum of the first three terms is
a (1 + r + r ²) = a (1 - r ³)/(1 - r) = 7a
and of course 63a = 9 • 7a, and this is true for any a.
Garrett paid $20 for five movie tickets. Find the cost per ticket.
Write the unit rate rounded to the nearest hundredth
Answer:
4 is the unit rate
Step-by-step explanation:
SMART PPL PLEASE help meeeeeeeeeeeeeee
Answer:
the amount of calories depends on the minutes of exercise so c is the dependent variable and m is the independent variable
Which step is incorrect and what is the correct answer?
Answer:
Step 4, x = 3
Step-by-step explanation:
Step 4 was wrong, instead of 6x = 6, it should be 6x = 18. They shoudl've added 6 to both sides instead of subtracting 6 as ur trying to cancel out the 6 on the left side of the equation. So:
6x = 18
x = 3
Solve for b .
-9 b = 27
b =
Final Answer: [tex]b = -3[/tex]
Steps/Reasons/Explanation:
Question: Solve for [tex]b[/tex]. [tex]-9 b = 27[/tex]. [tex]b[/tex] = ?
Step 1: Divide both sides by [tex]-9[/tex].
[tex]b = -\frac{27}{9}[/tex]
Step 2: Simplify [tex]\frac{27}{9}[/tex] to [tex]3[/tex].
[tex]b = -3[/tex]
~I hope I helped you :)~
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-9b =27 Equation/Question
Step 2
-9b =27 Simplify
-9b =27
Step 3
-9b =27 Divide both sides
answer
b=-3
You design a tree house using a coordinate plane. You plot the vertices of the floor at J(2,1),K(2,8),L(9,8), and M(9,1). The coordinates are measured in feet.
a. Which best describes the shape of the floor?
triangle
square
trapezoid
A rectangle having a length one foot longer than its width.
A rectangle having a length two feet longer than its width.
Question 2
b. What are the perimeter and the area of the floor?
Perimeter:
ft
Area:
ft2
Answer:
Square
Area = 49
Perimeter =28
Step-by-step explanation:
How to get the area:
Square A= Side x side
Side=7
7x7=49
How to get perimeter:
Add the lengths of the square which is 7
7x4=28
pls help i need help :D
Answer:
[tex]\frac{2808}{3125}[/tex]
Step-by-step explanation:
Find does angles
Help pls I have 15 min only .
Answer:
22 for x 45 for 4x+3 36 for 3x+2
Step-by-step explanation:
Trust me this is easy
Answer:
4x+2 =90°
3x+2=68°
x=22
Step-by-step explanation:
The interior angles of a triangle always add up to 180° so you will add the angles together and set them equal to 180° to solve for x. You will find that x should be equal to 22. Plug 22 into each equation to find the angle measure.
a local libary has 2500 fiction books and 5000 nonfiction books what is the nonfiction to fiction ratio in the libary?
Answer:
Step-by-step explanation:
5000 nonfiction and 2500 fiction
ratio is 5000/2500=2
ratio is 2:1
Sheila can ride her bicycle 6000 meters in 15 minutes. How far can she ride her bicycle in 2 minutes.
Answer: about 500
Step-by-step explanation:
Answer:
Step-by-step explanation:
800 meters
Please answer this is the third time I will give brainliest
Find x and y, there is no given info, and the line that is 8 units long is not a midsegment, but it is parallel to the line that is ten units long
Answer:
y = 1.75
x = 1.25
Step-by-step explanation:
Since the triangles have equal angles, you can use ratios to solve for x and y.
For y:
[tex]\frac{8}{10} =\frac{7}{a} \\8a=70\\a=8.75[/tex]
Subtract 7 from a to find y.
y = 8.75 - 7
y = 1.75
For x:
[tex]\frac{8}{10} =\frac{5}{b} \\8b=50\\b=6.25[/tex]
Subtract 5 from b to find x.
x = 6.25 - 5
x = 1.25
when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght she have tried to solve? what is the solution of the equation?
Answer:
2(x - 1) - 1 = 3(x + 1) - 6 - x
There are infinitely many solutions.
Step-by-step explanation:
Equations
Suppose Nicky was trying to solve the equation
2(x - 1) - 1 = 3(x + 1) - 6 - x
Operating:
2x - 2 - 1 = 3x + 3 - 6 - x
2x - 3 = 2x - 3
Subtracting 2x:
-3 = -3
This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.
The same result could have come with these equations:
4x - 3 = -3 + 4x
4(x - 1) + 1 = 4(x + 1) - 7
What is 2 1/2 written as an improper fraction?
2 1/2 as an improper fraction is 5/2
First, split the mixed fraction into the sum of a whole number and a fraction:
2 1/2 =>2+ 1/2
Then, rewrite the whole number as an equivalent fraction: 2 => 4/2
Lastly, add together the two fractions to get the answer:
4/2 + 1/2 = 5/2
help please and thank you
Answer:
43
Step-by-step explanation:
your welcome. hope this helps u, if not im sorry
Which table represents a linear function?
it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line
Answer:
This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.
which number is rational
A. square root of 16/6
B square root of 6
C. square root of 36/16
D. square root of 36/6
Answer:
36/16
Step-by-step explanation: