A fraction which is less than 1/3 is 1/6
How to find quantities which are less than a given quantity?We can lessen a quantity if we take out some positive part from it.
Thus, suppose if it is given that there are 'T' things, then a quantity which is less than 'T' would be 'T - S'
where S is something positive.
(there can be infinite number of values less than a specific finite value, and similarly, there can be infinite number of values more than a specific finite value).
For the given case, the fraction given is 1/3
Let a fraction which is less than it be denoted by F
Then,
[tex]F < 1/3\\F = \dfrac{1}{3} - S[/tex]
Let S = 1/6
Then, we get value of F as:
[tex]F = \dfrac{1}{3}- \dfrac{1}{6} = \dfrac{2 - 1}{6} = \dfrac{1}{6}\\[/tex]
Thus, 1/6 is a fraction which is less than the given fraction 1/3
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Evaluate the function at the given value. f(a) = a^3 + 5a^2 + 10a + 12 at a = -2
Answer:
4
Step-by-step explanation:
Item 12
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
Which statement is true?
Select each correct answer.
The maximum height of the water balloon occurs at x = 0.
The water balloon is in the air for 2 s.
The water balloon hits the ground in 64 s.
The water balloon rises above 64 ft before falling toward the ground.
The maximum height of the water balloon is 64 ft.
Answer:
O The maximum height of the water balloon occurs at x = 0.
O The water balloon is in the air for 2 s.
O The maximum height of the water balloon is 64 ft.
Step-by-step explanation:
Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.
The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.
Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.
The following statement is True.
The maximum height of the water balloon occurs at x = 0.The water balloon is in the air for 2 s.The maximum height of the water balloon is 64 ft.A true statement to be chosen from the following.
What is a graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
From the graph, the following points are to be noted.
The water balloon is at 64 ft at x = 0.
The water balloon takes 2 sec to reach y = 0.
The water balloon has a maximum height of x = 0.
Thus, points 1,2, and 5 are true.
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The area of a square shaped park measures 16900 square feet. How many feet of fencing would be needed to enclose that park?
Answer:
520 feet
Step-by-step explanation:
The area=16900
Area formula=b^2
b^2=16900
square root of 16900=130
130*4=520
What is the perimeter of the triangle?
a
84 in
b
94 in
c
74 in
d
64 in
Answer:
The answer is C
Step-by-step explanation:
We alsreadyknow that 37 and 12 is the 2 given lines. and The last line is not 37 but pretty close making C the answer.
Answer:
D) 64 In
Step-by-step explanation:
P=12+37+64
Please help I will mark brainliest
Answer:
a)(2x+1)² - 3
4x² + 4x + 1 - 3
4x² + 4x - 2
4(-2)² + 4(-2) - 2
16 - 8 - 2
6 (final answer)
b) 4(3)² + 4(3) - 2
36 + 12 - 2
46 ( final answer)
c) 2(x²-3) + 1
2x² - 6 + 1
2(3)² - 5
18 - 5
13(final answer)
A local insurance agent visits the high school and tells the students that his insurance company will give students a 7% discount on liability insurance, PIP. comprehensive insurance, and collision insurance for three years if they take a defensive driving course. Maria spends $1,437.00 on her auto insurance annually.
The question is vague, but I'll try and help.
Answer:
She saves $100.59 a year.
Step-by-step explanation:
Saving 7% of $1,437.00 each year.
7% of $1,437.00 (0.07 x $1,437.00) = $100.59
If it asks how much she saves over a certain number of years, just multiply 100.59 times how many years it asks for. Hope this helps.
The required, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.
What is the investment?Investment is defined as when an individual spends money on something that returns him or her higher money than the money they invested.
Here,
If Maria spends $1,437.00 on her auto insurance annually and she takes the defensive driving course, she will get a 7% discount on her liability insurance, PIP, comprehensive insurance, and collision insurance for three years.
To calculate the amount of the discount, we first need to find 7% of $1,437.00:
Discount = 0.07 × $1,437.00 = $100.59
So, the amount of the discount that Maria will receive annually is $100.59.
To find the total savings over three years, we multiply the annual discount by three:
Total savings = $100.59 × 3 = $301.77
Therefore, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.
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please answer, what is the solution of the system below? how do you know?
Answer:
(1,3)
Step-by-step explanation:
The solution is where the two lines intersect.
In this graph, it's (1,3)
PLEASE HELP !!!!!
1) Find the equation of the trend line (line of best fit). SHOW WORK
2) Predict the number of tips that would be collected if 100 costumers were served at the restaurant on a given day. Explain your reasoning.
3)EXPLAIN how to use the regression calculator to make a reasonable prediction given a data table
(I don't know how to attach more than 1 picture by the way )
Answer:
1) y = 1.8741176487x + 3.655964863
2) About $191 using the equation, about $180 or more using the data you are given.
3) I can use the regression calculator by using the largest number of customers you have in the data set and lowest number of customers and compare them to see if the numbers are in ascending or descending order.
How do you work this problem? 10x2 +25x
Answer:
x=-5/2,0
Step-by-step explanation:
It is solved by first factorizing it
10x²+25x=5x(2x+5)=0
Finding the zeros
5x=0x=0/5=0
2x+5=0
x=-5/2
Therefore x is -5/2 or 0
This my homework and I'm bad at math if you can take the time please help me out f(x)= (x-5)to the power of 2 +12
I need the vertex
Axis of symmetry
Domain
Range
Answer:
Vertex: (5,12)
Axis of Symmetry: x=5
Domain: (-infinity, +infinity)
Range: [12, +infinity)
Step-by-step explanation:
how many millilmeters are in 3 gallons
Answer:
11,356 ml.....................
James borrows $4,200 to pay his college tuition. He signs a 5-year simple interest loan. If the monthly payments are $78.40, what is the interest rate on the loan?
Answer:
2.4%
Step-by-step explanation:
Total amount of payments:
5 years * 12 months/year * $78.40/month =
= $4704.00
Amount of interest paid in 5 years:
$4704 - $4200 = $504
Amount of interest paid in 1 year:
$504/5 = $100.80
Annual percent rate of interest:
$100.80/$4200 * 100% = 2.4%
Answer: 2.4%
Which investment would be worth the MOST after 20 years?
A) An initial investment of $3000 compounded annually at a rate of 12%
B) An initial investment of $3000 compounded quarterly at a rate of 11.9%
C) An initial investment of $3000 compounded weekly at a rate of 11.85%
D) An initial investment of $3000 compounded continuously at a rate of 11.8%
Answer:
D) An initial investment of $3000 compounded continuously at a rate of 11.8%
Step-by-step explanation:
Are the following equations parallel, perpendicular, or neither? y= 3x - 1 and y =
-1/3x + 10 *
Parallel
Perpendicular
Neither
Answer:
Perpendicular
Step-by-step explanation:
259 students enrolled in a freshman level chemistry class by the end of semester 6 times the number of students passed as failed find the number of students who passed and the number of students who failed
Answer:picture?
Step-by-step explanation:
B=14 what is 3b-5
Please help me someone
Answer:
37
Step-by-step explanation:
14×1
24×2
42×3
42-5 = 37
Sharon runs a screen-printing business. To print T-shirts each day, it costs her $200 in labor plus $5 per T-shirt for materials. Her income is $15 for each T-shirt she sells. How many T-shirts does Sharon need to sell each day in order for her costs to equal her income for that day?
(i mainly need the equation for this problem)
Answer:
Equation: 15n = 200 + 5n
Number of T-shirts: 20
Step-by-step explanation:
We need to find an expression for the costs for 1 day for making n number of T-shirts and an expression for the income for 1 day for selling n number of T-shirts. Then we set the expressions equal and solve for n, the number of T-shirts.
Expenses in 1 day:
The expenses are a fixed cost of $200 plus the cost per T-shirt.
$200 plus $5 per T-shirt
We need an expression for the cost per T-shirt in terms of n, the number of T-shirts.
If she makes 1 T-shirt, she spends $5 * 1.
If she makes 2 T-shirts, she spends $5 * 2.
If she makes n T-shirts, she spends $5 * n, or simply 5n.
Her total costs for a day are:
200 + 5n
Income in 1 day:
All the income comes from selling T-shirts.
She sells 1 T-shirt for $15 * 1.
She sells 2 T-shirts for $15 * 2.
She sells n T-shirts for $15 * n, or simply 15n
Her total income for 1 day is:
15n
Now we set the costs equal to the income and solve for n.
15n = 200 + 5n <--------- here is the equation you need
Subtract 5n from both sides.
10n = 200
Divide both sides by 10.
n = 20
Answer: She needs to sell 20 T-shirts.
Help me out in this question please
Answer:
The answer is D
Step-by-step explanation:
Which multiplication problem does the model represent?
A- 1/8 times 2
B- 7/8 times 2
C- 1/2 times 4
D- 1/4 times 8
The correct answer would be D- 1/4 times 8
This is the correct answer because if you look at the model, it shows 2 blocks of 1, and then 8 blocks of 1/4, which both equal 2, and the model does not say anything about the top row, only the bottom, and after process of elimination, you would be left with 1/4 times 8
What is the decimal multiplier to decrease by 2.7%?
Multiplying by 1 keeps it the same. A number greater than 1 would be an increase and a number below 1 would be a decrease.
The decrease is 2.7% which is written as 0.027 as a decimal.
Subtract that from 1:
1 - 0.027 = 0.973
The multiplier would be 0.973
Plzzz answer it :( :
All fraction or mixed number answers are in simplest form or reduced form .
True or false
Answer:
false it is not always reduced form
Given the quadratic equation: 1/2x^2+3x−10=0
Answer:
x=2.3851648071345037,−8.385164807134505
Step-by-step explanation:
how many cookies will Julie make in 7 days?
Answer:
700 cookies
Step-by-step explanation:
that's easy but there you go
Answer:
700 cookies in 7 days
Step-by-step explanation:
Please help me with both the questions ty.
Answer:
4) 26+4/842-/×375-^×
5)/^9+37+×+454+12
Step-by-step explanation:
What is the approximate percent of decrease from 90 to 40?
Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides to take a poll of every third adult with a child who arrives at the library for one of the four reading groups: toddlers, preschoolers, primary grades, and upper elementary. Which statement is true about her method of data collection?
Answer:
a
Step-by-step explanation:
She surveys adults with a child , preschoolers , Primary students, and upper elementary Students , and these are the majority of all the people that go to the library.
(it was also correct when i took it on Edge(nuiy!)
I hope this helped you a bit!!!!
Answer:
A
Step-by-step explanation:
Solve for the complimentary angle b
Answer:
b = 38
Step-by-step explanation:
The two angles form a 90 degree angle so they add to 90
b+52 = 90
Subtract 52 from each side
b+52-52 =90-52
b = 38
Answer:
38
Step-by-step explanation:
90-52=38
and the little box indicates it's a right angle which is 90 degrees
god please help me i’ve been stuck on this problem for hours and i’m so hungry:(
Answer:
B
Step-by-step explanation:
u should go eat
Answer:
A)
because it passes the line twice instead of once
(fuctions only cross once)
hope that helped you:)
please make my answer brainiest as im trying get 3 brainiest answers
In 1992, Jason bought a gallon of gas for $1.15. Yesterday, he bought a gallon of gas for $2.12. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
84.3%
B.
45.8%
C.
54.2%
D.
15.7%
So do you have to have a least 2 people answering the question to five them the crowm?
Answer:
Well... only two people can answer a question. But you must have both two answers for a question to give brainliest to one or another. Got it? :)
Step-by-step explanation:
Sam and Larry’s Ice Cream Shoppe sells the following sizes of ice cream cones: single at $0.89, double at $1.19; triple at $1.39. One day, Danielle sold 52 ice cream cones. She sold two more than twice as many doubles as triples. If she sold $58.98 in cones, how many of each size did she sell?
9514 1404 393
Answer:
17 singles24 doubles11 triplesStep-by-step explanation:
Let s, d, t represent the numbers of singe, double, and triple cones sold. The problem statement tells us three relationships.
s + d + t = 52 . . . . . . Danielle sold 52 cones one day
d -2t = 2 . . . . . . . doubles is 2 more than twice the number of triples
0.89s +1.19d +1.39t = 58.98 . . . . total amount of sales
__
There are many ways to solve this set of equations. A graphing calculator can quickly tell you the solution is ...
(s, d, t) = (17, 24, 11)
__
If you want to solve this by hand, it may work well to use substitution.
The second equation gives an expression for d:
d = 2t +2
The first equation gives an expression for s that can be written in terms of t.
s = 52 -d -t
s = 52 -(2t +2) -t = 50 -3t
Using these in the last equation, we have ...
0.89(50 -3t) +1.19(2t +2) +1.39t = 58.98
1.10t = 12.10 . . . . . . . . collect terms, subtract 46.88
t = 11 . . . . . . . . . . . . . . divide by 1.10
d = 2(11) +2 = 24
s = 50 -3(11) = 17
Danielle sold 17 singles, 24 doubles, and 11 triple cones.