Answer:
A. 30% B. 45%
Step-by-step explanation:
A. 72,000/240,000 = x/100
(72,000)(100) = (240,000)x
7,200,000 = 240,000x
30 = x
B. 108,000/240,000 = x/100
10,800,000 = 240,000x
45 = x
Express the following as mathematical statements or phrases. 1. Twice the product of the number 2. Seven less than a number 3. The sum of three consecutive numbers 4. The sum f two consecutive even numbers is 42 5. The sum of a number and 5 times its reciprocal 6. Four more than twice a number 7. The square of a number increase by five 8. The sum of two numbers is equal to four more than their difference 9. Rian's age four years from now 10. Clara's age 10 year from now
Answer:
See belowStep-by-step explanation:
Let x or y be the variable in each case.
1. Twice the product of the numbers ... x and y (just a guess, its incomplete):
2xy2. Seven less than a number:
x - 73. The sum of three consecutive numbers:
x + (x + 1) + (x + 2)4. The sum of two consecutive even numbers is 42:
2x + 2x + 2 = 425. The sum of a number and 5 times its reciprocal:
x + 5*(1/5)6. Four more than twice a number:
4 + 2x7. The square of a number increase by five:
x² + 58. The sum of two numbers is equal to four more than their difference:
x + y = 4 + (x - y)9. Rian's age four years from now:
x + 410. Clara's age 10 year from now:
x + 10Step-by-step explanation:
1. Let, Number = x
2x
2. Let, Number = x
x - 7
3. Let,
Consecutive numbers = x, x + 1 and x + 2
x + x + 1 + x + 2
3x + 3
4. Let,
Consecutive numbers = a and a + 2
a + a + 2 = 42
2a + 2 = 42
5. Let, Number = x
Reciprocal = 1/x
x + 5/x
6. Let, Number = y
2y + 4
7. Let, Number = y
(x + 8)²
x² + 16x + 64
8. Let,
First number = x
Second number = y
x + y = 4 + (x - y)
9. Let,
Rian's age = y
y + 4
10. Let,
Clara's age = y
y + 10
.....................................................
Find the first five terms of the sequence defined below:
Answer:
d. 7, -14, 28, -56, 112
Step-by-step explanation:
f(2) = -2(7) = -14
f(3) = -2(-14) = 28
f(4) = -2(28) = -56
f(5) = -2(-56) = 112
Amina recently moved and got a new job. The quickest way to get to work is to take a
freeway that charges a toll. There are two options for paying the tolls.
Option A: No monthly fee, each trip on the tollway is $2.80.
Option B: $30 monthly fee, each trip on the tollway is half-priced at $1.40.
a. Write a linear model for Option A showing the total cost, C, in dollars, for x trips on
the tollway.
b. Write a linear model for Option B showing the total cost, C, in dollars, for x trips on
the tollway.
c. How many trips on the tollway are needed for Option B to be cheaper? Show your
work or explain how you found this number.
d. If Amina plans to travel to and from work 5 times a week which option, should she
purchase? (assume a month has 4 weeks) Show your work and explain in words why
you choose the option that you choose.
22 trips on the tollway are needed for Option B to be cheaper. Thus, if Amina plans to travel to and from work 5 times a week (20 round trips per month, that is, 40 trips), she must choose Option B.
Since Amina recently moved and got a new job, and the quickest way to get to work is to take a freeway that charges a toll, and there are two options for paying the tolls:
Option A: No monthly fee, each trip on the tollway is $ 2.80.
Option B: $ 30 monthly fee, each trip on the tollway is half-priced at $ 1.40.
To determine how many trips on the tollway are needed for Option B to be cheaper; y, if Amina plans to travel to and from work 5 times a week, which option should she purchase; the following calculation must be performed:
Option A = 2.80X Option B = 30 + 1.40X 2.80 x 20 = 56 30 + 1.40 x 20 = 58 2.80 x 25 = 70 30 + 1.40 x 25 = 65 2.80 x 24 = 67.2 30 + 1.40 x 24 = 63.6 2.80 x 22 = 61.6 30 + 1.40 x 22 = 60.8
Therefore, 22 trips on the tollway are needed for Option B to be cheaper. Thus, if Amina plans to travel to and from work 5 times a week (20 round trips per month, that is, 40 trips), she must choose Option B.
Learn more about maths in https://brainly.com/question/25806839
Which comparison statements are true?
Answer:
Option B,option D and option F are the correct statements.
Write an equation of the line with a slope of -2 and y-intercept of 3
Answer:
y = -2x + 3
Step-by-step explanation:
the original formula is
y = mx + b
m is the slope
b is the inteception on the y axis
Can someone do it and explain please? I don’t get it
8. The exact lengths of the segments
connecting corresponding vertices
are:
BK = 2.2 units KB' = 2.2 units
AJ = 5.6 units JA' = 5.6 units
CL = 3.8 units LC' = 3.8 units
Which segments have equal
lengths?
no segments
all segments
corresponding segments
Answer:
corresponding segments
Step-by-step explanation:
BK = KB'
AJ - JA'
CL = LC'
What system the system that is made up of the heart,blood, and blood vessels is called the ____ this is for sceince but i cant find sceince
Answer:
Cardiovascular system
Step-by-step explanation:
hellooo merry christmas !
can someone please help mee? ik its a lot but even just a little help would be very mich appreciated :))
Answer:
.....
Step-by-step explanation:
merry Christmas to you too
A random variable x has a mean of 22 and a standard deviation of 3.1. Random samples of size 40 are drawn, and the sample mean calculated each time. What is the probability that, for a given sample, is 21?
in this question, we are given the poverty function Our X equals no point to for X equals not 123 on before. So we are asked to find the mean and standard deviation. So the first step is to dio our property distribution tables. We are no one to hey wonderful. When we get told, it's no point to went to Teoh went to and not point to stuff. It's nice and easy. The next room we need to do is X he exit. We're gonna times are probability of X which is not 20 for all of them and by the value of X itself. So for the 1st 1 we're times in nor point to buy zero So we get zero 2nd 1 time to North point to buy one which is no point to no no point to about two, which is full no point you by three which is six and no 60.2 times four which is ain't on Then the way we get the main is to some all these together. So every animal together we get to not to is me which is on me I'm just gonna put less some of X P x is a reminder of how we got that. So if we do total so the next thing we need to dio is doomed. Ex spread P X so x zero squared is still zero and zero times. Anything is zero once where it is still one so that times not point to a store not point to. But now two squared is four of four times no point to there's no 0.8 three squared is nine. So no 90.2 times nine is now. One point ain't on four spread is 16 so one out of the North Point to buy 16 which is 3.2 on the total for that is not quick to note. 0.8 plus 1.8 plus 3.2, which gives us six. So we now need ah variation, which is the expectation of X. It's what, which is this Butthead and we need to take from that expectation of X, which is our mean squared same. We're looking at six minus to squared. So that's six minus four, which is to on to get the standard deviation. We just need to do root off answer. So If we do, son deviation equal root of Arians equals route to Ruutu is actually an irrational number. So it will just keep going forever. So we'll just simplify to one distal place, which is 1.4. So they haven't you mean is too on the standard deviation is 1.4.
If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically
Answer:
If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically
Find the value of x in the figure.
Answer:
64 degrees
Step-by-step explanation:
X equals 64 degrees because it shares a vertical angle pair with another angle which is 64 degrees. Since they are across from each other, x is 64 degrees.
Vertical angles are a pair of opposite angles formed by intersecting lines.
Need help with math
I have no idea math should have been working hade books bye sorry
For his phone service, Bob pays a monthly fee of $30, and he pays an additional $0.05 per minute of use. The least he has been charged in a month is $91.45.
What are the possible numbers of minutes he has used his phone in a month?
Usem for the number of minutes, and solve your inequality for m.
Answer:
m ≥ 1229
Step-by-step explanation:
Use m for the number of minutes
30 + 0.05×m ≥ 91.45
0.05*m ≥ 91.45-30
0.05*m ≥ 61.45
m ≥ 1229
Determine which graph shows y as a function of x.
I have to pick out of the photos I attached.
Answer:
I would say either pic 2 or four.
Step-by-step explanation:
Hopes This Helps
Marcie bought a 50-foot roll of packing tape. She used 8 5/6 foot lengtss. How much tape is left on the roll?
Answer:
22.40 feeds
Step-by-step explanation:
multiply it
Fill in the blanks so that the equation has infinitely many solutions.
5y + 6 + 7y = blank (6y + blank)
Answer:
5y +6 +7y = 2 (6y + 3 )
Step-by-step explanation:
We can name the blanks 'a' and 'b'. Then we have ...
5y +6 +7y = a(6y +b)
This will have infinitely many solutions when both sides simplify to the same expression.
12y +6 = 6ay +ab
To have these expressions be the same, we must have ...
12 = 6a . . . . same coefficient of y
6 = ab . . . . same constant
The first of these equations tells us ...
a = 12/6 = 2
Then the second equation tells us ...
b = 6/a = 6/2 = 3
The equation with the blanks filled in is ...
5y +6 +7y = 2 (6y + 3 )
By rounding to 1 significant figure, estimate
542.04 x 1.88=
Answer:
542.04 × 1.88 = 1020
Facts about 1,020
Sig Figs
3
1020
Decimals
0
Scientific Notation
1.02 × 103
E-Notation
1.02e+3
Words
one thousand twenty
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/ unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α = .05. Use both p-Value and Critical-Value approaches. Type of Ride Roller Coaster Screaming DemonLog FlumeMethod 1 41 52 50 43 44 46 49 46 48Method 2 49 50 48 51 46 44 47 48 46
1. Set up the ANOVA table (to 1 decimal, if necessary).2. The p-value for Factor A is ___________.3. What is your conclusion with respect to Factor A?4. The p-value for Factor B is_________. 5. What is your conclusion with respect to Factor B?6. The p-value for the interaction of factors A and B is ____________.7. What is your conclusion with respect to the interaction of Factors A and B?8. What is your recommendation to the amusement park?
Answer:
An amusement park studied methods
Step-by-step explanation:
What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)
Number line from negative 8 to positive 10 in increments of 1 is shown. Only the even numbers are labeled. A point labeled P is placed at the third tick mark to the left of 0.
(5 points)
Answer:
P = -3, each line in the negative direction is 1 number
so you would have -1, -2, -3 , -4, etc.
P is on the -3 line.
See attached picture.
Step-by-step explanation:
Which of the following expressions represents the expanded version of the expression
below?
7x (8x2 - 4y2 + 3y - 5)
O 15x3 - 11xy2 + 10xy - 12X
O 56x2 - 28xy2 + 21xy - 35x
O 56x3 - 4y2 + 3y - 5
© 56x3 - 28xy2 + 21xy - 35x
Answer:
4th option
Step-by-step explanation:
7x(8x² - 4y² + 3y - 5) ← multiply each term in the parenthesis by 7x
= 56x³ - 28xy² + 21xy - 35x
The expression in the expended version will be equal to 56x³ - 28xy² + 21xy - 35x. Hence, option D is correct.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given expression,
7x (8x² - 4y² + 3y - 5)
Solve the equation by multiplying 7x with the bracket,
56x³ - 28xy² + 21xy - 35x
To know more about the expression:
https://brainly.com/question/14083225
#SPJ2
2) 13 years back my mother age was thrice my age and 2 years back she was twice my age then find a) The present age of my mother b) my present age
Answer:
age of the Father is 46 and age of the son is 24
Step-by-step explanation:
13 years ago x was thrice y's age, or
(x - 13) = 3(y - 13); or
x - 3y = -26
2 years ago, x was twice y's age, or
(x - 2) = 2 (y - 2); or
x - 2y = -2
Subtracting equation 1 from 2:
x - 2y - (x - 3y) = -2 - (-26)
or y = 24
88888*88888 help me please
I need help. I have to find X to solve the equation.
Answer:
x=17.333
Step-by-step explanation:
3x+8=60
3x=60-8
3x=52
x=52\3
x=17.333
A child's height increased from 21 to 32 inches. What was the percent increase in the child's height
Answer:
52.4
Step-by-step explanation:
% change = 100 x final initial/initial
whats 2077-210?
its for a thing im doing.
Answer:
1867
Step-by-step explanation:
What do you need it for?
7
Kali developed her own website to advertise her babysitting business. In June she had 5,234 people visit her site. In July she had a 12 percent decrease in visitors. Approximately how
many people visited Kali's website in July?
A 5862
B 5222
C 4605
4673
Answer:
4606
Step-by-step explanation:
5234 · 0.12 = 628
5234 - 628 = 4606
Answer:
The answer to this question should be C: 4605.
Step-by-step explanation:
For this problem we need to know what 12% of 5,234 is. 12% of 5,234 is 628.08. Since their was a decrease in visitors we need to subtract 5,234-625.08=4,605.92. The probelm states that we need to find the "Approximate number", so have the .92 doesnt matter. So therefore the answer to this probelm is C: 4605.
yw :)
Three Snickers bars and two Butterfinger bars contain a total of 23 grams of protein. One Snickers bar and one Butterfinger bar contain a total of 10 grams of protein. How much protein does one Snickers bar contain?
Answer:
.
Step-by-step explanation:
Explain this picture