Answers
the formula for volume is V=LWH
substitute
V=3 1/2 x 3 1/2 x 9
turned into improper fractions
V= 7/2 x 7/2 x 9
multiply
V=441/4
turn into a mixed number (optional)
V=110 1/4
The carton can hold 110 1/4 in³
Related Questions
order the following numbers from least to greatest. sqrt 11, -0.4, (-4/3), 0.8, sqrt 2
Answers
3 < sqrt 11 < 4
order least to greatest
(-4/3), -0.4, 0.8, sqrt 2, sqrt 11
The numbers arranged from least to greatest will be -0.4, -1.33, 0.8, 1.41, and 3.32.
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The numbers are given below.
√11, -0.4, (-4/3), 0.8, √2
Convert all the numbers into decimal form, then we have
√11, -0.4, (-4/3), 0.8, √2
3.32, -0.4, -1.33, 0.8, 1.41
Then the numbers arranged from least to greatest will be -0.4, -1.33, 0.8, 1.41, and 3.32.
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Identify the trinomial that is a perfect square. HELP ASAP
A.64x^2 − 90x + 25
B.64x^2 − 70x + 25
C. 81x^2 − 70x + 16
D. 81x^2 − 72x + 16
Answers
You can find this by taking the square roots of the outside numbers and multiplying them by each other and 2 to see if they equal the middle number.
Scott and Harry went cycling every day. They increased the number of minutes of cycling every week as described below: Scott: Cycled for 10 minutes every day in the first week, 15 minutes in the second week, 20 minutes in the third week, and 25 minutes in the fourth week. Harry: Cycled for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Which statement best describes the methods used by Scott and Harry to increase the time they spent cycling? Scott's method is linear because the number of minutes increased by an equal number every week. Harry's method is linear because the number of minutes increased by an equal factor every week. Both Harry's and Scott's method is exponential because the number of minutes increased by an equal factor every week. Both Harry's and Scott's method is exponential because the number of minutes increased by an equal number every week.
Answers
Answer:
Scott's method is linear because the number of minutes increased by an equal number each week.
Arithmetic progressions use the linear method.
The graph proves it, by obtaining a straight line.
Step-by-step explanation:
Scott used an arithmetic progression, with a ratio of 5, that is adding 5 to the value of each previous week.
Let us call the time in minutes of each week, so the arithmetic progression is of the following linear form:
S1 = k0 = 10
S2 = k1 + 5 = 10 + 5 = 15
S3 = k2 + 5 = 15 + 5 = 20
S4 = k3 + 5 = 20 + 5 = 25
See attached chart.
Harry used a geometric progression, with a ratio of 2, that is multiplying by 2 the value of each week.
Let us call time in minutes of each week, so the geometric progression is of the following exponential form:
S1 = k0 = 10
S2 = k1 x 2 = 10 x 2 = 20
S3 = k2 x 2 = 20 x 2 = 40
S4 = k3 x 2 = 40 x 2 = 80
See attached chart.
Let's analyze the four options given:
Scott's method is linear because the number of minutes increased by an equal number each week.
True: The graph proves it, by obtaining a straight line.
Also, Arithmetic progressions use the linear method.
Harry's method is linear because the number of minutes increased by an equal factor each week.
False: The graph shows that it is not linear, a straight line is not obtained.
Both Harry and Scott's method are exponential because the number of minutes increases by an equal factor each week.
False: Scott's method is linear.
Both Harry and Scott's method are exponential because the number of minutes increases by an equal number each week.
False: Scott's method is linear.
Jim makes and sells denim knapsacks for $10.50 apiece. The knapsacks cost $7 apiece to produce.
Jim makes ____% profit on each knapsacks.
Show your work.
A. 33
B. 50
C. 75
D. 125
Answers
In this problem, to solve for the gross profit, you have to deduct the cost of each knapsack to its selling price.
The gross profit of Jim is $3.50 ($10.50 - $7).
To compute the gross profit rate, you have to divide the gross profit ($3.50) to the cost of each knapsack ($7).
$3.50 / $7 = 0.5 or 50%
Therefore, Jim makes 50% profit on each knapsack.
our family shares all the minutes in your cell phone plan. Every 30 days you get 4,800 minutes. Four people share the minutes. How many minutes can each person use per day if the minutes are split fairly?
Answers
.. (4800 min)/(30 day)*/(4 person)
.. = 4800/(30*4) min/day
.. = 40 min/day/person
Each person can use 40 minutes per day.
Sept Apr June Nov all have 30 days.
4800/4 = 1200 (monthly allotment per month) / person
1200 / 30 = 40 minutes per day.
All the others have 31 days
4800 / 4 = 1200 minutes per month
1200/31 = 38.71 minutes per day = 38 minutes 42 seconds Don't make that last 42 seconds to your boy friend/girl friend.
Except February which has 29 days on leap years.
Each has 1200 minutes per month
1200/29 = 41.37 minutes = 41 minutes 22 seconds.
or
February has 28 day days most years.
each person has 1200 minutes per month.
1200 / 28 = 42.86 minutes = 42 minutes and 51 minutes
FAN AND MEDAL!!
The formula for the circumference of a circle is C = 2πr, where r is the radius. Rearrange the formula to solve for r and select the correct option below.
r = C over 2 pi
r = 2πC
r = C − 2π
r = 2 pi over C,
Answers
Pat's Pizza made 21 cheese pizzas, 14 veggie pizzas, 23 pepperoni pizzas, and 14 sausage pizzas yesterday.
Based on this data, what is a reasonable estimate of the probability that the next pizza made is not a cheese pizza?
Answers
Being cheese is 21/the total
Total = 21 + 14 + 23 + 14
Total = 72
P(cheese) = 21/72 x 100
About 29%
P(not cheese) =71%
Use a calculator to convert the angle to a decimal in degrees 61 59'20"
Answers
Explanation:
You can determine which the conversion through this calculation:
1) 1° = 60 ' => 59' = 59/60 ° = 0.98333°
2) 1' = 60'' => 20'' = 20/60 ' = 0.33333' = 0.33333 / 60 ° = 0.00555°
3) Add 59/60 ° + 20/60/60° = 0.9889°
4) Add the decimal part to 61° => 61.9889 °≈ 61.99°
Easy Money CLick here
Answers
PLEASE HELP ME QUICK
PLEASE EXPLAIN AND IF 2 PPL ANSWER I WILL GIVE BRAINLIEST..
THX
Answers
The one on the page with the question.
Find the value of y.
A.
18
B.
22
C.
24
D.
28
Answers
square root of 576 will be 24 so 24 is y
Answer:
C. 24
Step-by-step explanation:
ED2021
If an experiment with a random outcome is repeated a large number of times, the empirical probability of an event is likely to be close to the true probability. this mathematical theorem is called what? choose the correct answer below. the random number table the law of binomial probability the law of simulation the law of large numbers
Answers
Imagine flipping a coin. There is a 50% likelihood that you would get tails. However, it doesn't happen all the time. If you flipped it just a few times, you could get all tails and have 100% tails.
However, if you did the experiment a lot of times (a large number), you almost certainly wouldn't get all tails. You would get close to 50%. That is the main point of the law.
The more trials you do, the more likely you will get close to the theoretical value.
Thaddeus wants to attend a sports camp this spring that costs $170.00 for the week. He rakes leaves during the fall and earns $58.35. He shovels snow during the winter and earns $85.80. How much more money does Thaddeus need to earn to pay for the sports camp? Write your answer as a decimal. Thaddeus needs to earn
Answers
He need $25.85 more to pay.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Charge for week = $170
earnings from leaves raking = 58.35
Earnings from snow shoving = 85.80
Total earnings = 85.80 + 58.35 = $144.15
So, he need more
=170 - 144.15
=$25.85
Hence, He need $25.85 more to pay.
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Consumer math help
1. When you pay a bill in full, you are
a. paying it off
b. defaulting
c. maximizing profit
d. zeroing
2. APR stands for
a. annual partial
b. amortized percentage rate
c. annual percentage rate
d. amortized partial rate
3. when calculating interest accrued, you should
a. multiply the principal by APR
b. multiply the principal by the APR and number of months
c. multiply the principal by the APR and number of months, then divide by the total number of the months in the year
d. multiply the principal by the APR and the number of months in the year, then divide by the,
Answers
Answer:
A, C, C
Step-by-step explanation:
Some other dude answered it. I just simplified his answer.
Lee’s family had a garden in the shape of a right triangle. The total area of the garden is 16 square feet. If they expand the garden to form a triangle with twice the base and twice the height, by how much will they increase the size of their garden?
Answers
Answer:
The size of the garden increases by 48 square feet.
Step-by-step explanation:
Hit that thanks button and vote so I can answer more questions! :)
Answer:
The answer is C or 48 square feet
Step-by-step explanation:
The 151 workers at a factory together produce 18 422items per day. What is the daily unit rate of items per worker?
Answers
To find the daily unit rate per worker we use the following formula
[tex] \frac{total \: items}{workers} [/tex]
Filling in this formula gives us
[tex] \frac{18422}{151} = 122[/tex]
Therefore, the daily unit rate per worker is 122 items.
1 worker = 18422 ÷ 151
1 worker = 122 items
------------------------------------------------------
Answer: Daily Rate = 122 items/worker
------------------------------------------------------
Aflati masurile unghiurilor unui patrulater convex ,daca ele sunt direct proportionale cu numerele.2,3,6,7.,
Answers
a, b, c, d - măsurile unghiurilor ⇒ a+b+c+d= 360°
[tex]\it \{a,b, c, d\}\ d.p. \{2,3, 6, 7\} \Rightarrow \dfrac{a}{2}= \dfrac{b}{3}= \dfrac{c}{6} =\dfrac{d}{7}= \dfrac{a+b+c+d}{2+3+6+7} = \\ \\ \\ = \dfrac{360^0}{18} =20^0[/tex]
[tex]\it \dfrac{a}{2} =20^0 \Rightarrow a=20^0\cdot2 =40^0 \\ \\ \dfrac{b}{3} =20^0 \Rightarrow b=20^0\cdot3 =60^0 \\ \\ \dfrac{c}{6} =20^0 \Rightarrow c=20^0\cdot6 =120^0 \\ \\ \dfrac{d}{7} =20^0 \Rightarrow d=20^0\cdot7 =140^0[/tex]
Working together 6 friends picked 14 2/5 lb of pecans at a pecan Farm. They divided the pecans equally among themselves. How many pounds does each friend get?
Answers
14 2/5 divided by 6 = 2 2/5
Write the polynomial in standard form. Then identify the polynomial by the number of terms. -5x^2-2x^3-4x
A
-4x-2x^3-4x; binomial
B.
-4x-5x^2-2x^3; trinomial
C.
-2x^3-5x^2-4x; trinomial
D.
-2x^3-4x-5x; binomial
Answers
-5x^2[?]-2x^3
-5x^2[<]-2x^3
so:
-2x^3-5x^2-4x
Second part:
a term is either a single number or variable, so we can conclude that (-5x^2) is a single term, so is (-2x^3) and (4x) because there are 3 terms this would be considered a Trinomial. Looking at the answers we can single out A and D because they do not have Trinomial in the answer. Since the standardized form starts with (-2x^3) We can single out B. giving us the answer of C.
Answer: C
Hope this helped :). Sorry if my grammar is off.
city purchases a square plot of land with an area of (x2+ 24x + 144) square yards for a park. The dimensions of the plot are of the form ax + b, where a and b are whole numbers. Find an expression in terms of x for the perimeter of the park. An expression in terms of x for the perimeter of the park is Select... select 8) The perimeter of the park when x = 10 yards
Answers
when we factorise this quadratic formula
(x² + 24x + 144)
= x² + 12x + 12x +144
= x ( x+ 12) + 12 (x + 12)
(x+12)(x+12)
the area of the square plot has been calculated by multiplying the lengths of the 2 sides. As its a square, all sides are equal
the length of one side = x+12
the dimensions are given in the form ax + b
from the length x + 12 , a = 1 and b=12
the perimeter of the park = 4 * length of one side
therefore perimeter = 4 * (x+12)
= 4x + 48 yards
next we are asked to find the perimeter when x = 10 yards
perimeter = 4*10 + 48 = 40 + 48 = 88 yards
You are buying a $24.50 item that has 6% sales tax. You give the cashier $40 to pay for the item. How much change do you get back?
Answers
Answer:
14.03
Step-by-step explanation:
I took a test
There are $14.03 get change do you get back.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
You are buying a $24.50 item that has 6% sales tax.
And, You give the cashier $40 to pay for the item.
Here, You are buying a $24.50 item that has 6% sales tax.
Hence, The amount of sales tax = 6% of $24.50
= 6/100 × $24.50
= $1.47
Thus, The amount of charge = $40 - ($24.50 + $1.47)
= $40 - $25.97
= $14.03
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John has read the first 114 pages of a novel. He has read 3 pages less than one-third of the novel.
Write an equation to describe the total number of pages p in the novel, and find the value of p.
Hellpppppp,
Answers
Question 4 Unsaved
What is the value of θ for the acute angle in a right triangle?
sin(θ) = cos(58°)
Question 4 options:
32°
58°
122°
29°
Answers
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The angle sum property of a triangle states that:
Sum of three angles of a triangle is 180 degrees.
Now we are given a right angled triangle here.
The question can be described as shows in figure.
Here ABC is a triangle right angles at B.
The other angle is 58 degrees.
Using angle sum property:
∠A + ∠B +∠C =180
let ∠A = 58° and ∠B =90°
So we have ,
58° + 90° +∠C =180
148°+∠C=180°
∠C = 32°
Answer : Angle C is 32 degrees.
Option A is correct choice
Rewrite the rational exponent as a radical exponent
Answers
can anyone help me solve these two questions
1 you have 75% of your pay direct/-deposit how much is given to you as a check per week ?
2. of the amount direct-deposited problem 1 you have 50% placed into a savings account how much is deposited in the savings account each month?,
Answers
Final answer:
The student takes home a check of $25.94 each week after deductions and direct deposit. Of the amount direct-deposited, $38.92 is placed into a savings account weekly, resulting in $155.68 being deposited into the savings account monthly.
Explanation:
To solve the first problem, we must start by calculating the gross income for one week of work:
Gross income = Hourly rate × Hours worked per week = 13.76 × 10 = $137.60Next, we calculate each of the deductions from the gross income:
FICA = Gross income × FICA rate = $137.60 × 7.65% = $10.52Federal tax withholding = Gross income × Federal tax rate = $137.60 × 9.8% = $13.48State tax withholding = Gross income × State tax rate = $137.60 × 7.13% = $9.82Now we calculate the total deductions:
Total deductions = FICA + Federal tax + State tax = $10.52 + $13.48 + $9.82 = $33.82The net income after deductions is:
Net income = Gross income - Total deductions = $137.60 - $33.82 = $103.78We then determine the amount directly deposited:
Direct deposit amount = Net income × Direct deposit percentage = $103.78 × 75% = $77.84The remaining paycheck given as a check each week is:
Check amount = Net income - Direct deposit amount = $103.78 - $77.84 = $25.94For the second question, we already know from the scenario that $77.84 is directly deposited. We just need to calculate the amount that goes into the savings account:
Savings deposit per week = Direct deposit amount × Savings account percentage = $77.84 × 50% = $38.92 per weekTo find the monthly savings deposit, we assume there are 4 weeks in a month:
Savings deposit per month = Savings deposit per week × 4 = $38.92 × 4 = $155.68 per monthwhat are the similarities between reflections translations rotations and dilations?
Answers
Using real life quantities,how will you justify that the derivative of constant is 0?
Answers
The derivative of a constant is zero can be understood by comparing it to traveling at a constant speed, where there is no change or acceleration, hence a rate of change of 0. This is analogous to the slope of a horizontal line (representing a constant function) on a graph, which is also 0.
Explanation:Using real-life quantities, one can justify that the derivative of a constant is 0 by considering the concept of speed. Imagine you are traveling in a car at a constant speed of 60 km/h. The speed does not change over time, meaning there is no rate of change or acceleration. In terms of calculus, this constant speed (constant function) has a rate of change of 0, which is its derivative.
The derivative, in a broader sense, measures the rate of change of a quantity. A constant value does not change, and hence its rate of change, or derivative, is 0. This concept can be geometrically represented as the slope of a line on a graph. A constant function graphs to a horizontal line where the slope, or rise over run, equals 0. Thus, similar to the constant speed with no change, the derivative of any constant value is always zero.
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Answers
1) Trigonometric properties.
2) trigonometric equations
3) Division of fractions.
Answer:
cotx = root (15) / 7
See attached image.
cot θ = √15 / 7
Explanation:
csc θ = 1 / sin θ
In a right angled triangle, sin θ = opposite / hypotenuse
This means that:
csc θ = hypotenuse / opposite = 8 / 7
So, we have:
opposite = 7 units and hypotenuse = 8 units
We will use the Pythagorean theorem to get the adjacent side as follows:
(hypotenuse)^2 = (opposite)^2 + (adjacent)^2
(8)^2 = (7)^2 + (adjacent)^2
(adjacent)^2 = 15
adjacent = √15 units
Now, we want to get the value of cot θ.
We know that:
cot θ = 1 / tan θ
Since tan θ = opposite / adjacent
Therefore:
cot θ = adjacent / opposite = √15 / 7
Hope this helps :)
Which monomial function has a maximum value?
(Can anyone explain how you can tell?)
y=-6x^3
y=-5x^4
y=5x^6
y=6x^5,
Answers
To determine which of the following monomial function has a maximum value, you have to assume the value of x. Let us say the value of x is 2. Substitute 2 for all x’s in the monomial function.
y=-6x^3 = -6(2)^3 = -48y=-5x^4 = -5(2)^4 = -80
y=5x^6 = 5(2)^6 = 320
y=6x^5 = 6(2)^5 = 192 Therefore, the monomial function with the maximum value is y = 5x^6
Answer:
[tex]y=-5x^4[/tex]
Step-by-step explanation:
Remember that a maximum value (global) of a function is the bigest value that the function takes.
For see the values of the functions you can see its graphs.
I have uploaded the graphs of the functions in the question and you can see it, and then convince yourself why the answer is y=-5x^4.
Also you have the fact that the functions of the form [tex]y=kx^n [/tex] have a maximum value only if [tex]n[/tex] is an even natural number and k is a negative real number.
Use the information given to determine Whether bd||ae
Answers
To determine if the lines are parallel. You need to check if the segments form on each side are proportion.
#8 check to see if: 2/1 = 3/1.2
If you cross multiply, you get 3 = 2.4 which is not true, so the lines are NOT parallel.
#10 check to see if: 6/5 = 9/7.5
If you cross multiply, you get 45 = 45 which is true, so the lines are parallel.