Answer:
The square root of 2 is not rational, i.e. it is irrational. Explanation: We can think of a rational number as that which can be expressed as a fraction or ratio of two integers. Irrational numbers do not terminate or repeat, and cannot be represented by a finite … Suppose √2 is rational.
Step-by-step explanation:
PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?
Answer: $249,300
Step-by-step explanation:
The exact formula would be if I think this is right
PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity
= 1400(1-(1+.054/12)^-360)/(.054/12)
= $249,318.47
which you can round off to, say, $249,300 <------
note:
counterchechecked with a financial calculator
Answer:
239,600
Step-by-step explanation:
tia has 53 balloons equally among 4 kids how many balloons will be left over
Answer:
There will be 1 balloon left over.
Step-by-step explanation:
Each kid will be able to get 13 balloons, and 4 times 13 is 52, so 1 balloon will be left.
Answer:
1Step-by-step explanation:
Because 4 times 13 = 52
4 times 13.25 = 53
Each kid will get 13, but
in return, you will get 1 of your balloon's left.
Hope this helps! <3
0.82 divided by ___ = 0.0082.
Fill in the blank?
I think it is 100 is that right?
Answer:
100
Step-by-step explanation:
100 x 0.82 =0.0082
A ticket to see your favorite baseball team costs $30.08. That price decreases by $0.42 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 27 games. What is the price of a ticket after the team loses 27 games?
Given :
A ticket to see your favorite baseball team costs $30.08.
That price decreases by $0.42 for every game lost during the regular season.
To Find :
What equation could you use to find the cost C of a ticket after L losses.
Solution :
Let, n is number of match loses and P is the price of ticket.
So, equation is given by :
P = 30.08 - (0.42)n .......1)
Putting n = 27 in above equation,we get :
P = 30.08 - ( 0.42 )( 27 )
P = $18.74
Therefore, the price of a ticket after the team loses 27 games is $18.74 .
Hence, this is the required solution.
In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.
Given:
Total score = 24 points
They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.
To find:
The system of equations for the given problem.
Solution:
Let x be the number of touchdowns.
y be the number of field goals.
z be the number of "extra points."
Total score is 24 points. So,
[tex]x+y+z=24[/tex]
They made 2 more touchdowns than field goals.
[tex]x=y+2[/tex]
They made 3 times as many "extra points" as field goals.
[tex]z=3y[/tex]
Therefore, the required system of equation is
[tex]x+y+z=24[/tex]
[tex]x=y+2[/tex]
[tex]z=3y[/tex]
A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.
Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]
27. In a class test containing 15 questions 4 marks are given for every correct answer and
(-1) marks are given for every incorrect answer.
(i) Gokul attempts all questions but only 6 of his answers are correct. What is his
total score?
(ii) Neena gets 12 of her answers correct. What will be her score?
Answer:
24 and 72
Step-by-step explanation:
just multiple them both by 6
f(x) = x2 + 1
What is f(f(x))?
Answer:The x could just mean a variable but I don't know what F means sorry.
Step-by-step explanation:
we want to factor the following expression 3x^2-16y^5 which pattern can be used to factor the expression U and V are either constant integers or single variable expressions
Answer: we cant use any patterns
Step-by-step explanation:
If 3+k,18-k,5k+1 are in A.P, then find k
• 3 + k , 18 - k and 5k + 1 are in AP .
To find :• The value of K .
Solution :• As we know that, In AP common difference is same :
• b - a = c - b
=> 2b = a + c
Here ,
• a = 3 + k
• b = 18 - k
• c = 5k + 1
=> 2 ( 18 - k ) = 3 + k + 5k + 1.
=> 36 - 2k = 4 + 6k
=> 36 - 4 = 6k + 2k
=> 32 = 8k
=> k = 32/8
=> k = 4
Hence , the value of k is 4.
Answer:
k=4
Step-by-step explanation:
Since the given terms are in A.P., the common difference will be the same
So, 18-k-3-k = 5k+1-18+k
15-2k = 6k-17
6k+2k = 17+15
8k = 32
k = 4
The student government at the local middle school surveyed students to help plan the end-of-year party. For the first sample, they surveyed every other person at sports practice after school. For the second sample, they surveyed every fifth person entering the cafeteria where all students eat. Which statement about the samples is true?
Answer:
Explained below.
Step-by-step explanation:
Convenience sampling is a kind of non-probability-sampling (i.e. all items doesn’t have an equivalent chance of being selected), which doesn’t comprises of random collection of items. Convenience sampling is where we take in items which are easy to reach. This sort of sampling technique results in a biased sample.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval. If the individual k is selected as the first sample then the sample space consists of every kth individual.
In this case the first sample is an example of convenience sample and the second is a systematic sample.
Answer: A
Sample 1 is biased.
Step-by-step explanation:
A baby weighed 7.25 pounds at birth. At the end of 8 months, the baby weighed 212
2
1
2
times its birth weight. How many pounds did the baby weigh at the end of 8 months?
Answer:
1537pounds
Step-by-step explanation:
Given parameters:
Weight of baby at birth = 7.25 pounds
Unknown:
Weight at the end of 8months = ?
Solution:
From the second sentence;
Weight at the end of the eighth month = 212 x weight at birth.
Input the parameters and solve;
Weight at the end of eighth month = 212 x 7.25 = 1537pounds
Amalie has been saving money buy an electric guitar. A local store has just
marked down the price of its guitars by 30%. Each guitar also comes with a
mail-in rebate for $5.
If the guitar used to cost $210, what will be Amalie's final price after
the markdown and rebate?
Complete each step to solve the problem and answer the question.
Answer:
80 percent
Step-by-step explanation:
Copy and complete:
__:11= 1/3 :6
Answer:
11/18:11=1/3:6
Step-by-step explanation:
x:11=x/11 so
x/11=1/3/6
x /11=1/3*6
x=11/18
if 3n-4=8 then what is the value of 5n-3
Find the value of x.
Answer:
sdf
Step-by-step explanation:
sdff
For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:
132 + 4 + x = 180
Add 132 and 4.
136 + x = 180
Subtract 136.
x = 44
You are right!
For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:
68 + x + 9 = 90
Combine 68 and 9.
77 + x = 90
Subtract 77.
x = 13
Hope this helps
Riley is training to run in a 5-kilometer road race. She would like to
reduce her race time by 15 seconds each month that she trains.
The race is in 3 months. What is the total change in time that Riley
hopes to achieve?
1. What integer represents the change in race time Riley wants to
achieve each month?
2. What integer represents the number of months she will train?
3. Write a multiplication expression that can be used to find the total
change in time.
4. Complete the number line to find the product.
-15
--50-45-40-35-30-25-20-15 -10 -5
0
5. What is the total change in race time that Riley hopes to achieve?
Explain what this change represents in the situation.
Answer:
1. -15
2. 3
3. -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image.
5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.
Step-by-step explanation:
Given that it is a 5 kilometre race.
Time to be reduced each month = 15 seconds
Total number of months left in the race = 3
1. Riley wants to achieve each month a decrease of 15 seconds.
Integer representing the change = -15
2. Change in time i.e. 3 months is represented by integer 3.
3. There are a total of 3 months and there is a decrease of 15 every month.
so, multiplication expression is: -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image for the number line representation of the answer.
The arrow is from 0 to -45.
5. Total change in time is -45.
This change represents that achieving the goal will reduced the time by 45 seconds.
20 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
B
Step-by-step explanation:
Both 0.684 and 0.1222 are rational
Answer:
B.
Step-by-step explanation:
Because 0.12222222.... and 0.684 are rational numbers.
Pls consider marking my answer as Brainliest! It would mean a lot!
What is the domain and range for the following function? f(x)=|x-2|+3
Domain: All real numbers. Inequality Notation: -infinity<x<infinity, Interval notation: (-infinity,infinity).
_______
Range: All real numbers greater than or equal to 3. Inequality notation: x ≥ 3, Interval Notation: [3,infinity).
Help needed ASAP will give brainliest AND 5 STARS RATE not a real test
2 - 300 calories
3 - 1260 calories
6 - 20g
7 - 70mg
A group of 80 ants went to collect some honey. 1/2 lost their way and 1/4 got eaten by a passing anteater. How many ants came back?
Answer:
23
Step-by-step explanation:
HELLLP WILL GIVE 50 POINTSS
Answer:
12
Step-by-step explanation:
You need to use the pythagorean theorem. a^2 +b^2=c^2. Label the sides with a, b, and c. The longest side is c, but it does not matter for the other two sides.
Answer:
y = 12
Step-by-step explanation:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] - [tex]b^{2}[/tex]
[tex]c^{2}[/tex] = [tex]35^{2}[/tex] - [tex]37^{2}[/tex]
[tex]35^{2}[/tex] = 1,225
[tex]37^{2}[/tex] = 1,369
1,369 - 1,225 = 144
[tex]\sqrt{144}[/tex] = [tex]c^{2}[/tex]
[tex]\sqrt{144}[/tex] = 12
HELP NUMBER 10 please!!!
Note:
0.13 x 16500 = 2145
16500 - 2145 = 14355 for the first year.
Continue this for 7 more years to get your answer.
Plz HELP graph of the four functions.
Answer:
Use math-way for the rest
Step-by-step explanation:
Hope this helps!
A town has a population of 2000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will reach 3900?
Answer:
27 years.
Step-by-step explanation:
2000->100%
?->3.5%
=70 people growth each year
3900-2000=1900[expected growth]
70-per year
1900-?
1900*1/70=27.1
=27.|1
27 years
It will take 9 years for the town's population to reach 3900.
What is an exponential function?"An exponential function is a function of form f (x) = a^(x), where a is the base."
Exponential growth function:f(x) = a×(1+r)^x
where,
f(x) = exponential growth function
a = initial amount
r = growth rate
x = number of time intervals
For given situation,
initial population: a = 2000,
growth rate r = 3.5/100
⇒ r = 0.035
f(x) = 3900
We need to find the nearest year to reach the population 3900.
i.e., to find value of x(years)
Using the exponential growth function,
⇒ 3900 = 2000(1 + 0.035)^x
⇒ 3900/2000 = (1.035)^x
⇒ 1.95 = (1,035)^x
⇒ [tex]x=log_{1.035} 1.95[/tex]
⇒ x = 19.41
⇒ x ≈ 19
Therefore, it will take 19 years to reach 3900.
Learn more about exponential growth here:
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Corliss earns an hourly wage, as well as tips, each day he works. His daily earned income, m, after h hours can be represented by the inequality m>11h+35.
He makes at most $11 per hour plus $35 in tips.
He makes more than $11 per hour plus $35 in tips.
He makes at least $11 per hour plus $35 in tips.
He makes less than $11 per hour plus $35 in tips.
Answer:
He makes more than $11 per hour plus $35 in tips
Step-by-step explanation:
First, you should always look at the sign and identify whether it's greater than, less than, greater than or equal to, or less than or equal to. In this inequality, the sign being shown is greater than: represented by m>11h+3
Here are inequality key words to help better understand the signs:
> : Greater Than, More Than
≥ : More Than or Equal To, At Least, No Less Than, A Minimum of
< : Less Than, Fewer Than
≤ : Less Than or Equal To, At Most, No More Than, A Maximum of
Fun fact
During your lifetime, you will produce enough saliva to fill two swimming pools ♀️
credit to savannal2250 for the fact
Answer: wow
I'd want nothing more than to swim in a pool of saliva.
Find the area under the standard normal distribution curve between z=o and z=1.47
Answer:
hheikxkhyujherik
Step-by-step explanation:
iieeokwe7ib2tui
The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.
What is Standard normal distribution?The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.
The area under the standard normal distribution curve between z=o and z=1.47 can be found as,
Area = (Z=1.47) - (Z=0)
As per the z-table the values of z are,
Z = 1.47 = 0.9292
z = 0 = 0.5
Area = 0.9292 - 0.5
Area = 0.4292 = 42.92%
Thus, The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.
Learn more about Standard Normal Distribution:
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Multiply. Use the greatest common factor to write each answer in simplest form. 8/21 x 7/10
Answer:
56/210---> 8/30---> 4/15
Step-by-step explanation:
How many 3/20 inch lengths are in 5 2/5 inches?
Answer:
0.81
Step-by-step explanation: