Answer:
x = [tex]\frac{1}{2}[/tex] , x = 1
Step-by-step explanation:
Given
[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares
[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]
Multiply through by (x + 3)(x - 3) to clear the fractions
2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify
2x² - 6x + 3x + 9 = 8
2x² - 3x + 9 = 8 ( subtract 8 from both sides )
2x² - 3x + 1 = 0 ← in standard form
(2x - 1)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
x - 1 = 0 ⇒ x = 1
what is the speed of a bus that travels 350km in 5 hours
Answer:
We need to make it a unit rate.
350/5
70/1
70km per 1 hour
Answer:
70km
Step-by-step explanation:
350÷5 =70
Can you help me with this
Answer:
3 and 4
Step-by-step explanation:
the five classes at steam elementary are going to the zoo. the teacher need to put the students in group of tens the number of students in each class is shown
Step-by-step explanation:
1)Add all the elementary learners
2) devide the answer you get from step 1 by 10.
3)the whole number will be number of learners in each group and the remainder will be the remaining learners
it is an math question i am doing my paper i need help 7 class question
factorize: a²-100
Answer: (a + 10)(a - 10)
HELP ME . Help me please
Answer:
Top right corner
Step-by-step explanation:
HELP ME PLEASE
Explain to Raven what she did correctly in the first two problems that she did not do in the last problem, and how to correct her mistake
Answer:
She changed the symbols in the first two problems because they were divided by a negative number whereas she shouldn't have changed the symbol in the last problem as it was not divided by a negative number and so the sign remains the same.
Can someone explain how to do this? I keep getting it wrong
Answer:
Step-by-step explanation:
in order to find the measurements of all the angles you must find x and to find x you have to realize that the total sum of a triangle inner angles is 180 so you add all those together (48+x+x-44=180) and then if you solve that it gives you 2x+4=180 and then simplify 2x=176 and then x=88
then you plug x into the angles in order to find out the actual measurements
so a is obviously 48 but then b is equal to x which isequal to 88
and then for c it will be x-44 so its 88-44 which equals 44 and that is your answer
if you want to double check take all of your answers and see if they add up to 180
Someone pls help me!!!!
Answer:
J) 2r⁴s⁴
Step-by-step explanation:
if you know the area and the base, you can divide them to find the height
16r⁸s⁶ ÷ 8r⁴s² = 2r⁴s⁴
As a contestant on a televised game show, Kiara gets to spin the big prize wheel, which has a radius of 2 meters. What is the prize wheel's area
Answer:
12.57
Step-by-step explanation:
We need to find of area of a circle and the formula for that is pie * radius ^2.
Pie * 2 squared = 12.57 rounded to the nearest hundredth
If - 2x + 3 = 7 and 3x + 1 = 5+ y, the value of y is
Answer:
The value for x is -2 and the value for y is -10 .
Step-by-step explanation:
Firstly , let's write the equations
-2x+3=7 ( equation 1 ) 3x+1 =5+y (equation 2 )
solving equation 1 to get the values of x
or , -2x+3=7
or, -2x+3-3 =7-3 (subtracting -3 on both sides )
or , -2x=4
or, -2x/2 = 4/2 (dividing by two on both sides )
or , -x =2
or x = -2
now let's substitute the values of x in the equation 2
3x+1 =5+y (writing second equation as it is )
or, 3x+1-1=5+y-1 (subtracting -1 on both sides )
or , 3x = 4+y
or , 3 × -2 = 4+y (substituting the values of x from equation 1 )
or , -6 = 4 +y
or , -6-4 = 4+y-4 ( subtracting -4 on both sides )
or , -10 = y
Therefore the values of x and y is -2 and -10 respectively .
Hope it helped you . If you find the answer useful please rate brainliest , If not Thanks anyway .
What is the area of a circle with a diameter of 18.2 cm?
Use 3.14 for ∏ and round your final answer to the nearest hundredth.
The area is ___ square cm.
Answer:
260.02 cm²
Step-by-step explanation:
radius of circle= 18.2÷2
=9.1
area of circle= πr²
= 3.14×9.1²
= 260.02 cm² (nearest hundredth)
Answer:
Solution given:
diameter=18.2cm
[r]radius=diameter /2=18.2/2=9.1cm
Now
Area of circle=πr²=3.14*(9.1)²=260.02cm²
The area is _260__ square cm.
If 4x - 8 = 4 , find the value of x
Answer:
x=3
Step-by-step explanation:
4x-8=4
4x=12
4x/4=12/4
x=3
Answer:
x = 3
Step-by-step explanation:
Add 8 to both sides.
4x = 4 + 8
Simplify 4 + 8 to 12.
4x = 12
Divide both sides by 4.
x = 12 ÷ 4
Simplify 12 ÷ 4 to 3
x = 3
The shoes you want to buy are on sale for 25% off the original price is $75 what is the sale price of the shoes
Answer: $56.25
Step-by-step explanation:
25 as a decimal is 0.25
So you multiply 0.25 * 75 = 18.75
75 - 18.75 = 56.25
The sale price of the shoe is $56.25.
Emily earns $15 for each car she washes. Create an equation to represent the relationship between the numbers of cars washed c, and the amount, in dollars,Emily earns,m. HELP!!
Answer:Im not sure but btw the state test just is on how your teacher teach you and the school if u do bad it affects the school but don’t purposely not try this is what i put for the answer
Step-by-step explanation:10c 15m hopw it helps!
Roll needs to make a sauce mixture of 2/5 sand and 2/5 of clay and one for Pete Mas to put his plants yes 75 pounds of sand how many total pounds of soil rather have it he adds clay and Pete Moss to the sand to make the correction mixture
Answer:
187.5 pounds
Step-by-step explanation:
Fraction of sand = 2/5
Fraction of clay = 2/5
Fraction of peat = 1/5
Pounds of sand = 75
The total pounds of soil required to make Correct mixture : let that be x
Hence,
Using the sand Fraction and pounds which we know :
2/5 of x = 75
2x / 5 = 75
Cross multiply :
2x = 75 * 5
2x = 375
x = 375 / 2
x = 187.5
Required pond of sand =187.5 pounds
The figure is made of 2 right rectangular prisms.
3 ft
3 ft
7 ft
14 ft
3 ft
12 ft
Which expression can be used to find the volume of the figure in cubic feet?
O A. 7x3 x 12
OB. 7 x 6 x 12
OC. (7+3+3) + (12+3+4)
OD. (7X 3 3) + (12 X 3 X 4)
O E. (7x 3 x 3) + (9 x3 4)
Answer:
E
Step-by-step explanation:
I took the MAP Test.
If a car can travel 250 miles on 10 gallons of fuel , how many gallons are requiered to travel 1325 miles
Answer:
53 gallons of fuel
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{10}{250} = \frac{x}{1325}[/tex]
Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.04 once divided)
[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]
Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]1325 \times 0.04\\\\= 53[/tex]
Therefore, 53 is the amount of gallons of fuel needed.
74,308 Problem: Round the number above to the nearest ten.
Answer:
74,310
Hope this helped! ^^
Answer:
[tex] = 74,310[/tex]
step by step explanation:
If−3x − 7 = 23, then 6x =_____?
Answer:
22
Step-by-step explanation:
We will first find the value of x .
Then we will multiply 6 to the value of x
The total cost of a gym membership, C, in Australian dollars (AUD), in John's Gym can be modelled by the function C = 65t+30, where t is the time in months. Calculate the gym membership cost over 12 month duration
Answer:
810 AUD
Step-by-step explanation:
t is time in months: you have to substitute with the number of months given from the question.
C=65t + 30 ==> substitute t with 12 since the question provided you the number of months.
--> C = 65(12) + 30 = 780 + 30 = 810
What is the sum of the interior angles of the polygon shown below?
Answer:
540°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
can someone please help
Answer:
for A
the law
V=Bh or V=πr2h
I will use this V=Bh
V= 16·21
V= 336cm³
For E
the law
A= 1/2·(A + B)·H
A= 1/2·(14 + 8)·4
A= 44cm²
V= A·H
V= 44·4
V= 176 cm³
make a search for each one :
B. triangular prism volume calculator
C. pyramid prism volume calculator
D. rectangular prism volume calculator
F. cube volume calculator
3 x 4 x 25 x c = ?
c = 16
Answer:
4800
Step-by-step explanation:
If c = 16, the equation is:
3 * 4 * 25 * 16 = 4800
Write the equation x+5y=5 in slope intercept form.
Answer:
y=-1/5+1
(negative one over 5)
Step-by-step explanation:
The length of a rectangle is 10x² – 13x - 3 / 4x + 3 and the width is 4x² + 11x + 6 / 2x - 3 inches. Find the area of the rectangle.
Answer:
use this formula ot find area of rectangl 2l +2w
MATH PLEASE HELP ! PLEASE
Answer:
wait I am solving this
Step-by-step explanation:
mark it as the brainliest to get the answer
Can someone help me out, I will give out brainly.
Answer:
370
Step-by-step explanation:
Area of the entire thing is 20*20 = 400
You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)
Area of triangle:
First find the height using pythagorean theorem
5*12 = 156
Then divide by two: 60/2= 30
400-30 = 370
what is the solution 6x-4 =2(3x-2)
Answer:
x= 0
Step-by-step explanation:
6x-4=2(3x-2)
or,6x-4=6x-4
or,x=o
There are infinite solution of the expression.
We have to given that,
An expression to solve,
6x - 4 = 2 (3x - 2)
Now, We can simplify as,
6x - 4 = 2 (3x - 2)
Apply distributive property,
6x - 4 = 6x - 4
Combine like terms,
6x - 6x = 4 - 4
0 = 0
Hence, There are infinite solution of the expression.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
Which is closest to the height of the building?
(Round to nearest tenth
Answer:
[tex]let \: it \: be \: x \\ \cos(70 \degree) = \frac{12}{x} \\ x = \frac{12}{ \cos(70 \degree) } \\ x = 35.1 \: ft[/tex]
[tex]height = \sqrt{ {35.1}^{2} - {12}^{2} } \\ = \sqrt{1088.01} \\ = 33.0 \: ft[/tex]
someone help me it's due today
Answer:
y=2x+6
Step-by-step explanation:
y=2x+6 you are welcome!!