what is the sum of 7x/ x^2 - 4 and 2 / x + 2?
The sum of two given algebraic expressions is (9x-4)/(x²-4). Therefore, option C is the correct answer.
What is addition of algebraic expression?Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.
The given algebraic expressions are 7x/x²-4 and 2/x+2
Here, 7x/x²-4 can be written as 7x/(x+2)(x-2)
Now, 7x/x²-4 + 2/x+2
= 7x/(x+2)(x-2) + 2/x+2
= (7x+2(x-2))/(x+2)(x-2)
= (7x+2x-4)/(x²-4)
= (9x-4)/(x²-4)
Therefore, option C is the correct answer.
Learn more about the addition of algebraic expressions here:
https://brainly.com/question/21443100.
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PLS HELP ME
To solve 1/4÷8, Jordan thinks of dividing a pancake into 4 equal parts, dividing one of those parts into 8 equal pieces, and then eating one of those pieces.
What fraction of the pancake is Jordan thinking about eating?
Enter your answer as a fraction in simplest form by filling in the boxes
⊆⊇
⊂⊃
Answer:
1/32
Step-by-step explanation:
1st step: 1/4 divided by 8, which is 1/4 divided by 8/1
Then for the 2nd step, you have to find the reciprocal of the 2nd fraction, so you just reverse it
2nd step: 1/4 X 1/8
3rd step. 1X1/4X8 = 1/32
You can also think of it like this. He started with 4 pieces. Each piece was then divided into 8 parts. So 8X4=32 is the total number of pieces. He's only eating 1 of those, so he's only eating 1/32
What is the largest integer value less than 17 ?
HELP PLEASE
Answer:
16
Explanation:
Let "x" be the number
===========
x < 17→ integers less than 17 are 16, 15, 14, 13, 12, 11, 10, 9, ...
⇒ integers are whole numbers, not negative, does not include decimals or fractions.
So,
16 is the largest integer which is less than 17
16 < 17How many litres can 5 get from 3,500
Its simple, really. The answer would be 3,500 divided by 5. The answer would be 700.
I need help, I'll give Brainest
Answer:
it should be cost, because when there is more quantity of something there will be less price.
Which equation accurately represents this statement? Select three options.
Negative 3 less than 4.9 times a number, x, is the same as 12.8.
Negative 3 minus 4.9 x = 12.8
4.9 x minus (negative 3) = 12.8
3 + 4.9 x = 12.8
(4.9 minus 3) x = 12.8
12.8 = 4.9 x + 3
Answer:
See below ~
Step-by-step explanation:
Writing the equation
Negative 3 less than 4.9 times a number, x, is the same as 12.8⇒ 4.9x - (-3) = 12.8⇒ 4.9x + 3 = 12.8Solutions
4.9x minus (negative 3) = 12.83 + 4.9 x = 12.812.8 = 4.9 x + 3pls help me and if you dont know the answer dont answer this
Answer:
x - 40
Step-by-step explanation:
3[tex]x[/tex] = 120
[tex]\frac{3x}{3\\}[/tex] = [tex]\frac{120}{3}[/tex]
[tex]x[/tex] = 40
By the Vertical Angle theorem,
⇒ [tex]3x = 120[/tex] ⇒ [tex]x = 40[/tex]
Definition of Vertical Angle Theorem: angles that are opposite each other and formed by two intersecting straight lines, are congruent. (look at diagram)Thus x = 40
Hope that helps!
A recent survey showed that 91 full-time employees out of a sample of 500 did not use all of their vacation days last year. However, 105 of those studied expressed a desire for more vacation time. Based on this sample, if a full-time employee is chosen at random, what is the probability that he or she is content with the vacation allowance? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth
Using it's concept, it is found that there is a 0.79 = 79% probability that he or she is content with the vacation allowance.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 500 - 105 = 395 out of 500 employees are content with the vacation allowance, hence:
p = 395/500 = 0.79.
There is a 0.79 = 79% probability that he or she is content with the vacation allowance.
More can be learned about probabilities at https://brainly.com/question/14398287
Pls help me there's a link connected to this !!!
Answer:
this should help ya ........
Please help me with this math problem! Will give brainliest!! :)
Step-by-step explanation:
a.
[tex]f(2) = 0[/tex]
b.
[tex]f(x) = 4 \\ f(5) = 4 \\ x = 5[/tex]
c.
[—3,2] union [3.4, 4]
HELP ITS MATH ITS FOR MY COUSIN RN
Answer:
Option D: $32.50
Step-by-step explanation:
3 × 8.50 = 25.50
2 × 5 = 10
[25.50 + 10] - 3
[35.50] - 3
= $32.50
48 packages /second = packages /minute
Answer:
2880 packages/min
Step-by-step explanation:
48 × 60 = 2880
Answer:
2,880 packages per minute
Step-by-step explanation:
Given:
60 seconds per minute
48 packages/second
Solve:
48 package/sec x 60 sec = 2,880 packages/min
Hope this helps!
The temperature on Tuesday was -8°C. The temperature decreased another 9°C throughout the night. What was the temperature on Wednesday morning?
-17*C
Step-by-step explanation:
It's decreases so it's going to be colder
Start-8
1) - 9
2) - 10
3) - 11
4) - 12
5) - 13
6) - 14
7) - 15
8) - 16
9) - 17
Or
-8-9= - 17
Hope this helps!
Please help! Will mark brainlyest.
What is the solution to the equation startfraction y over y minus 4 endfraction minus startfraction 4 over y 4 endfraction = startfraction 32 over y squared minus 16 endfraction? y = –4 and y = 4 y = 0 all real numbers no solution
The solution to the given equation is 4 and -4.
What is a fraction?Fractions are the numerical values that are a part of the whole.
A whole can be an object or a group of objects.
The given equation is;
[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}[/tex]
A fraction is used to represent the portion/part of the whole thing.
The solution of the fraction is determined in the following steps given below.
[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}\\\\\rm \dfrac{y(y+4)-4(y-4)}{(y - 4)(y+4)}= \dfrac{32}{(y-4)(y+4)}\\\\y^2+4y-4y+16=32\\\\y^2=32-16\\\\y^2=16\\\\y=\pm 4[/tex]
Hence the solution to the given equation is 4 and -4.
Learn more about fractions here;
brainly.com/question/17431959
Answer:
A Edge 2022
Step-by-step explanation:
Kent multiplies both sides of the equation below by an expression. k startfraction 12 over k endfraction = 8 then he moves all the terms to one side of the equal sign in the resulting equation. which equation must he solve now? k squared minus 8 k minus 12 = 0 k squared 8 k 12 = 0 k squared minus 8 12 = 0 k squared minus 8 k 12 = 0
The resulting value of k is 12/7.
What is a fraction?Fractions are the numerical values that are a part of the whole. A whole can be an object or a group of objects.
The steps below are presented in order to arrive at the value of k of the given equation.
First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator.
The solution of the equation will be;
[tex]\rm \dfrac{k+12}{k}(k) = 8(k)\\\\\dfrac{k+12}{k}=8\\\\k+12=8k\\\\8k-k=12\\\\ 7k=12\\\\k =\dfrac{12}{7}[/tex]
Hence, the resulting value of k is 12/7.
To know more about fractions click the link given below.
https://brainly.com/question/3174308
Please help this is my last time asking these 2 questions I need the correct answers no more fake links pls
Answer for 1st question:
The answer is A. 4/20
Step-by-step explanation:
The probability of landing on a vowel would be 2/5.
The probability of landing on an even number would be 2/4.
Now we just need to solve the probability of landing on a vowel and an even number.
2/5 x 2/4 = 4/20.
Thereore, the probability of landing on a vowel and an even number is 4/20.
Answer for 2nd question:
The answer is B. 1/20
Step-by-step explanation:
The probability of landing on a C would be 1/5.
The probability of landing on a 4 would be 1/4.
Again, we just need to solve the probability of landing on a C and a 4.
1/5 x 1/4 = 1/20.
Therefore, the probability of landing a C and a 4 is 1/20.
Help its due soon pls
Answer:
D
Step-by-step explanation:
The dots make a trapozoid
algebra 7.5 factor the polynomial
x^2+5x+4
Answer:
( x + 4 ) ( x + 1 )
Step-by-step explanation:
x² + 5x + 4
= x² + 1x + 4x + 4
= x ( x + 1 ) + 4 ( x + 1 )
= ( x + 4 ) ( x + 1 )
Hence, factorised.
Which expression is equivalent to (7s - 2t) – (3s - 4st + 7t)?
A. 4s – 4st + 5t
B. 4s + 4st + 5t
C. 4s – 4st – 9t
D. 4s + 4st – 9t
Answer:
A
Step-by-step explanation:
7s-3s-2t+7t-4st
4s+5-4st
A squirrel burled four holes in five minutes how many holes could this world borrow in 15 minutes
Answer:
20 i'ma say 20
Step-by-step explanation:
Explanation
This equation shows a way to find a fraction equivalent to 2032
2
0
3
2
.
Enter numbers below to correctly complete the equation.
Answer:
Given Below.Explanation:
[tex]\sf \dfrac{20}{32} = \dfrac{20}{32} \ \div \ 1 = \dfrac{20\div 4}{32 \div 4} = \dfrac{5}{8}[/tex]
Follow the sequence. and divide the multiply the following fraction.
32 ÷ ? = 8? = 4=======
20 ÷ 4 = 5Answer:
[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]
Step-by-step explanation:
When reducing fractions to their simplest equivalent, we need to divide the numerator and denominator by their highest common factor.
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 32, 1, 2, 4, 8, 16, 32
Therefore, the highest common factor is 4.
[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]
what is the slope intercept of the equation y = -x + 12?
Answer: b) slope: -1, y-intercept 12
Step-by-step explanation:
The equation here is in slope-intercept form (y=mx+b)
In slope-intercept form m is the slope and b is the y-intercept
m=-1 and b=12 so the answer is b
slope: -1, y-intercept: 12
Solution:The given equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.You can quickly identify the slope & y-intercept of a line whose equation is in slope-intercept form.The slope is the coefficient of x (the number before x) and the y-intercept is a constant added to/subtracted from the slope.Therefore, m is equivalent to -1, and b is equivalent to 12.Hope it helps.
Do comment if you have any query.
A 6 sided die and a coin is tossed, how many different possible outcomes are there? Need help ASAP!!
Answer:
the answer is 12
Step-by-step explanation:
you toss the dice and coin let’s say it lands on 2 and heads there is one possibility. there is only 6 sides to the dice and 2 sides to a coin. 6 x 2 = 12.
Answer: coin = 26 sided die = 62 × 6 = 12
Step-by-step explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes. The answer would be 12. Hope that helps!!
HELP ASAP THIS DUE TODAY FOR MY BRO
Answer:
I think it's 10 or 10.5 not sure
Step-by-step explanation:
Is it A, B, C, or D? I need help, please.
Answer:
D. 0
Step-by-step explanation:
|9 - 5| = |4|, which equals 4. |5 - 9| = |-4|, which also equals 4.
4 - 4 = 0.
If your answer is in absolute value and it is negative, the outcome will always be positive. Hope this helps.
What is the slope of the line that passes through the points
(-3, 5) and (4, 2)?
A) 1/7
B) -3/7
C) -7/3
D) I don't know
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-3)}}}\implies \cfrac{-3}{4+3}\implies -\cfrac{3}{7}[/tex]
4(1+4n)
how do i solve this
Answer:
4 + 16n
Step-by-step explanation:
4 (1 + 4n)
Use the distributive property & expand the expression .
= (4*1) + (4*4n)
= 4 + 16n
________
Hope it helps ⚜
Answer:
[tex]\Longrightarrow: \boxed{\sf{4+16n}}[/tex]
Step-by-step explanation:
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
4(1+4n)Multiply expand.
4*1=4
4*4n=16n
Rewrite the expression down.
= 4+16n
Therefore, the correct answer is 4+16n.I hope this helps! Let me know if you have any questions.
help need in 30 minute
Answer:
8 bracelets
Step-by-step explanation:
Each time when we we cut the ribbon for making a ribbon, the length will be reduced. So, repeated subtraction is division.
To find the number of bracelets, divide the total length of the ribbon by the length required for making a bracelet.
Fraction division:
Use KCF method
Step1: Keep the first fraction
Step2: Change division to multiplication
Step3: Flip the second fraction
Number of bracelets = total length ÷ length required for making a bracelet.
[tex]= 5\dfrac{1}{3} \div \dfrac{2}{3}\\\\= \dfrac{16}{3} \div \dfrac{2}{3}\\\\= \dfrac{16}{3}*\dfrac{3}{2}\\\\= 8[/tex]
A soup can has a diameter of 8 cm and a height of 12 cm. What is the volume of the soup can? Use 3.14 for Pi.
A cylinder has a height of 12 centimeters and diameter of 8 centimeters.
192.00 cubic centimeters
301.44 cubic centimeters
602.88 cubic centimeters
2,411.52 cubic centimeters