Answers
Answer:
[tex]\frac{p^2-25}{p^2-10p+25}[/tex]
We can factorise the numerator with the difference of squares formula:[tex]x^2-y^2=(x+y)(x-y)[/tex]
-----------------------------
[tex]\frac{p^2-5^2}{p^2-10p+25} =\frac{(p+5)(p-5)}{p^2-10p+25}[/tex]
Now we can factorise the denominator:
[tex]\frac{(p+5)(p-5)}{p^2-10p+25} =\frac{(p+5)(p-5)}{(p-5)^2}[/tex]
[tex]\frac{(p+5)(p-5)}{(p-5)^2} =\frac{(p+5)(p-5)}{(p-5)(p-5)}[/tex]
Cancel out the common factor of (p-5):
[tex]\frac{(p+5)(p-5)}{(p-5)(p-5)} =\frac{(p+5)}{(p-5)}[/tex]
Related Questions
please answer numbers 1-5 i need them soon
Answers
Answer:
Step-by-step explanation:
1) 1. AB ≅ CD Given
2. AD ≅ CB Given
3 . BD ≅ BD Reflexive property
4. ΔABD ≅ ΔCBD S S S congruent
2) 1. GH // JK Given
2. ∠HGJ ≅∠KJG Given
3. GH ≅ JK Given
4 . GJ ≅ GJ Reflexive property
5. ΔHGJ ≅ ΔKJG S A S congruent
3) ΔJNK ≅ ΔMNL SSS congruent
JK = ML CPCT
JK = 160 ft
4) ΔRPS ≅ ΔTQS A A S congruent
RS ≅ TS
RS = 85 m
5)ΔDEF ≅ΔGHJ
GJ = DE {CPCT}
6x - 13 = 3x + 2
6x = 3x + 2 + 13
6x = 3x + 15
6x - 3x = 15
3x = 15
x = 15/3
x = 5
HJ = 5x = 5*5 = 25
Melissa can buy an 8 pound bag of dog food for $7.20. What is the cost of 1 pound? PLZZ I REALLY NEED HELP!
Answers
Answer:
$0.90
Step-by-step explanation:
7.20/8 = $0.90
The sum of two numbers is 48. One numner is 3 times the other. Find the numbers.
Answers
Answer:
16 and 3?
Step-by-step explanation:
48÷3=16
hope this helps
Answer:
12 & 36
Step-by-step explanation:
According to the statement:
[tex]x+y=48[/tex]
[tex]x=3y[/tex]
Replace x= 3y:
[tex]3y+y=48[/tex]
[tex]4y=48[/tex]
[tex]y=48/4=12[/tex]
Then:
[tex]x=3y=3(12)=36[/tex]
Hope this helps
Celia's scores in the 5 quizzes Math are 18,12,15,19. What is her average score in Math?
d. 18
a. 15
c. 17
b. 16
Answers
Step-by-step explanation:
(18+12+15+19)÷5
64÷5
15
Explanation
(18+12+15+19)/4
64/4
16
Choose the correct answer below
Answers
Answer: B.
Step-by-step explanation:
brainliest me
State the rules for multiplying integers.
Answers
Answer:
If they are the same integer, then the answer is always positive. However, if the integer are different, the answer is negative.
Number 8 need asappp!!!!
Answers
Step-by-step explanation:
Angle A + Angle B = 180
x-34+x+58=180
2x+24=180
2x+24-24=180-24
2x=156
/2 /2
x=78
To solve for Angle B, fill x as 78
58+78
Angle B is 136
what led to the creation of the free-soil party?
A. To stop immigrants from entering the United States
B. To promote slavery across the West
C. To stop the spread of slavery
D. To achieve Manifest Destiny
Answers
Answer:
The answer is C
Step-by-step explanation:
brainliest plss
In a particular country, 3% of the population is HIV positive. A test for HIV correctly
diagnoses 95% of those who have the condition, but incorrectly diagnoses 4% of those
who are not HIV positive as being HIV positive. A patient obtains a positive test result,
apparently indicating the presence of HIV. Determine the probability that the patient
really is HIV positive.
Answers
Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient really is HIV positive.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happeningIn this problem:
Event A: positive test.Event B: HIV positive.The percentages involving a positive test are:
95% of 3%(positive)4% of 100 - 3 = 97%(not positive).Hence:
[tex]P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673[/tex]
The probability of both having a positive test and being HIV positive is:
[tex]P(A \cap B) = 0.95(0.03)[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235[/tex]
0.4235 = 42.35% probability that the patient really is HIV positive.
A similar problem is given at https://brainly.com/question/14398287
write the fraction as a decimal use bar notatin if necessary
-2 5/22
Answers
Answer:
1.13
Step-by-step explanation:
to turn a fraction to a decimal divide the denomitator by the numerator [tex]\frac{-25}{22}[/tex] can also be written as -25÷22 which equals 1.13 or 1.136 with a line over it
Hope this helps!
the interval [2, 4] is divided into n equal subintervals of length delta x. What is delta x (in terms of k and n)
Answers
Each subinterval would have length ∆x = (4 - 2)/n = 2/n
00.5 divide 53.342 give solution right answer=brainliest=10 points
☢️⚠☢️nonsense report☢️⚠☢️
Answers
Answer:
Iᖴ 00.5÷53.342=0.009373476
Iᖴ 53.342÷00.5=106.684
Step-by-step explanation:
ᕼOᑭᗴ IT ᑕᗩᑎ ᕼᗴᒪᑭ YOᑌ ᒪOᐯᗴᒪOTՏ
whats 3/16 divided by 12
Answers
Answer:
0.015625
Step-by-step explana
Four candy stores are competing with each other. Which
store offers the best buy for candy?
A.) Sweet Store: 12 pack for $3.00
B.) Delicious Treats: 22 pack for $4.62
C.) Sugar Factory: 18 pack for $5.40
D.) Chocolate Shop: 36 pack for $7.20
Answers
Answer: The Chocolate shop
Step-by-step explanation:
We should get the cost per one pack for each store.
For the Sweet Store we divide 3.00 by twelve for the cost of one which is:
3 divided by 12 = 0.25
One pack at a sweet store is $0.25
Now do the same for the other stores:
4.67 divided by 22 = 0.21 (Rounded to 2 decimal points)
5.40 divided by 18 = 0.3
7.20 divided by 36 = 0.2
Sweet Store: one pack is $0.25
Delicious Treats: one pack is $0.21
Sugar Factory: one pack is $0.30
Chocolate Shop: one pack is $0.20
Therefore the Chocolate shop is giving you the best deal since each pack is cheaper.
Multiply: (3x + 2)(4x + 2)
7 x2 + 12 x + 4
12 x2 + 14 x + 4
3 x2 + 4 x + 2
12 x2 + 18 x + 2
Answers
Answer:
12x²+14x+4
Step-by-step explanation:
(3x+2)(4x+2)
you will coil, multiply first term from the first bracket with the 1st term of the second bracket, and again with the 2nd term of the second bracket
do the same with the 2nd term of the first bracket, you will get the following
12x²+6x+8x+4
12x²+14x+4
Evaluate the expression 16+1+2
Answers
Last year, wind turbines along a hilly ridge had an average output of 390 kilowatt hours per year. The turbines were upgraded, and now their average annual output is 30% more.
What is the new average yearly output?
kilowatt hours=
Answers
30% × 390 = 117
= 390 - 117
= 507 kw/h
7 Convert 34.5 degrees Celsius to
7)
Farenhet using the formula a
1.F
'F=(9 15) ic +32one
b) or
C) 32.05 h
be
d) 94.1
ut
ta) 62.1
Answers
Answer:
94.1 °F
Step-by-step explanation:
The formula is ...
F = 9/5C +32
Using 34.5 for C, we get ...
F = 9/5(34.5) +32 = 62.1 +32 = 94.1
34.5 °C = 94.1 °F
Complete the sentences to make true statements
6 is 100 times ____.
0.06 is 10 times ____.
60 is 1/100 of ____.
Answers
Answer:
6 is 100 times 0.06
0.06 is 10 times 0.006
60 is 1/100 of 6,000
Step-by-step explanation:
Since 6/100 is equal to 0.06, we can say that 6 is the result of multiplying 0.06 by one hundred (0.06 x 100 = 6).
On the other hand, since 0.06 / 10 is equal to 0.006, it is correct to say that 0.006 x 10 is equal to 0.06 (0.006 x 10 = 0.06).
Finally, 60 is one hundredth of 6000, since multiplying 60 x 100 the result is 6,000 (6,000 / 100 = 60).
hope this really helped!!
mark me brainliest :D
The complete sentences are:
6 is 100 times 0.06 .
0.06 is 10 times 0.006.
60 is 1/100 of 6,000.
"6 is 100 times greater than 0.06":
This means that if you multiply 0.06 by 100, you get 6.
So, 6 is indeed 100 times larger than 0.06.
"0.06 is 10 times greater than 0.006":
In this case, if you multiply 0.006 by 10, you get 0.06.
Thus, 0.06 is 10 times larger than 0.006.
"60 is 1/100 of 6,000":
This means that if you divide 6,000 by 100, you get 60.
So, 60 is a hundredth (1/100) of 6,000.
Hence, 6 is 100 times 0.06
0.06 is 10 times 0.006
60 is 1/100 of 6,000
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The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?
Answers
Answer:
40.5 meters
Step-by-step explanation:
4.5m/s • 9s = 40.5m
The ratio of men to women working for a company is 5 to 7. If there are 196 women working for the company, what is the total number of employees?
employees
Answers
Answer:
336 employees
Step-by-step explanation:
Hi there!
We're given:
Ratio of men to women ⇒ 5:7
Number of women in the company ⇒ 196
1) Solve for the number of men in the company
Set up a proportion
[tex]\displaystyle \frac{5}{7} = \frac{x}{196}[/tex] where x is the number of men working at the company
Multiply both sides by x
[tex]\displaystyle \frac{5}{7} *196= x\\\\x=140[/tex]
Therefore, there are 140 men working at the company.
Now, we know that there are 140 men and 196 women working at the company. Assuming that they are the only people who work there, the total number of employees is 140 + 196 = 336.
I hope this helps!
Answer:
336 total employees
Step-by-step explanation:
divide women by their respective ratio to get unit multiplier
196÷7=28
add the 2 numbers in the ratio to get both men and women
7+5=12
multiply everyone by unit multiplier
12(28)
336
A father wants to buy a total of five milk drinks for his son and spend $7.95. Eggnog costs $1.55 and a peanut punch costs $1.65. Determine the number of each milk drink bought
Answers
Answer:
2
Step-by-step explanation:
$ 1.55 + $1.65 = $3.11
the budget is $7.95
$7.95 ÷ $3.11 = 2.5 but since you can't get half a milk it's 2
pls help
i will appreciate it if you could help
Answers
Answer:
I think it is 20 percent
Step-by-step explanation:
Sorry if this is wrong
A large Internet provider conducted a survey of its customers. One question that it asked was how many e-mail messages the respondent had received the previous day. The mean number was 13.2. A. What is the research question of interest for this survey
Answers
Answer:
Glee
Step-by-step explanation:
Part 2 out of 2
Heather's mom says that they would save more than $100 if they buy tickets for their family on opening
weekend. Do you agree or disagree with Heather's mom? Complete the explanation of how to find how
much they would save.
You ? v with Heather's mom.
The regular price tickets would cost them $80 x 4 people, which equals $
The discounted tickets would cost them $ * 4 people, which equals $224.
To find the difference subtract the discounted tickets total $224 from the regular price tickets total $
which equals $
They would save
which is less than $100.
Next
✓ Check
Next
? A
А
Question 18 of 21
Answers
Answer:
i agree I can't really explain why though sorry
Heather's mom's estimation is wrong, as they will only save $96.
What is a percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, The special price for the amusement park ticket costs $56. This is 70% of the regular price, Heather's mom says that they would save more than $100 if they bought tickets for their family on opening weekend.
Let the original price of the ticket be x,
70% of x = 56
x = 56x100/70
x = 80
That means, the regular price is $80
On a regular day, ticket will cost = 80x4 = $320
On the special ticket price cost = 56x4 = $224
The saved priced = 320-224 = $96
Hence, Heather's mom's estimation is wrong, as they will only save $96.
For more references on percentage, click;
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A large drink dispenser used at a school field day holds 640 ounces of lemonade. How many glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces?
Answers
Answer:
80 glasses
Step-by-step explanation:
640/8 = 80
Answer: 80 glasses
There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A large drink dispenser used at a school field day holds 640 ounces of lemonade.
Now,
Find the number of glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces as;
= 640 ÷ 8
= 80
Thus, There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.
Learn more about the divide visit:
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they are sixty four thousand people at a football game 80% of the people were supporting the home team how many people were supporting the home team
Answers
Answer:
51200
Step-by-step explanation:
64000×80%=51200
[tex]\huge\mathfrak{question}[/tex]
they are sixty four thousand people at a football game 80% of the people were supporting the home team how many people were supporting the home team
[tex] \huge \mathfrak step \: by \: step[/tex]
First we will look for how much 80% of 64,000 is.
Lets put our equation
[tex]64000 \times 80 \div 100[/tex]
solve it and we get
[tex]{{\boxed{{51200}}}}}[/tex]
as our answer
Multiply (4-5i)(4+i)
Answers
Answer:
this is the correct answer happy
fkjlfljkfleruhgowjfgwklgnerql;ng;
Answers
Answer:
THX for points XD
Step-by-step explanation:
please what is measurement BAC
Answers
Answer:
54 degrees? I'm not an expert, but judging by the pic, I would say 54 degrees.