A rectangular gift box has dimensions that can be represented as shown in the figure. The volume of the box is 56w cubic inches. Which of the following is not a dimension of the box?
Answers
The dimension of the box is 12 by 7 by 8
How to calculate the volme of a boxThe volume of the box = lwh
Given the following
l = w
w = w - 5
h = w - 4
Hence;
w(w-5)(w-4) = 56w
Expand to have
(w^2-5w)(w-4) = 56w
w^3 - 4w^2 - 5w^2 + 20w = 56w
w^3 -9w^2 - 36w = 0
Factorize to get the value of w;
w(w^2-9w-36)=0
w^2 - 12w + 3w - 36 = 0
w(w-12) + 3(w-12)= 0
w = -3 and 12
Hence the dimension of the box is 12 by 7 by 8
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Related Questions
1
The area of a square window is
given by the expression
m’ - 16m+64. Which expression
represents the length of one side
of the window?
a)m - 8
b) m + 4
c)m - 4
d) m + 8
Answers
Answer:
Step-by-step explanation:
-8 ok!
Domain and range of graph need ASAP
Answers
Answer:
Domain: [tex]-6 \leq x \leq 3[/tex]
Range: [tex]-3 \leq x \leq 6[/tex]
Step-by-step explanation:
The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: [tex]-6 \leq x \leq 3[/tex], because this is the set of real values for which the function will produce a real output.
The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).
Marvin says," The probability of it raining tomorrow is 1/2 as it either will or it won't. Do you agree with Marvin? Explain your answer.
Answers
Answer:
It depends if the sky is cloudy or not.
Step-by-step explanation: We cant be sure on 100% percent it depends.
What are the three ordered pairs that should be in the table of values y=2x-3
Answers
Answer:
(-2, -7), (0, -3), (2, 1)
Step-by-step explanation:
Equation is given as y = 2x - 3.
To complete the table, plug in each value of x into y = 2x - 3 to get their corresponding y-value.
✔️When x = -2:
y = 2(-2) - 3
y = -4 - 3
y = -7
✔️When x = 0:
y = 2(0) - 3
y = -3
✔️When x = 2:
y = 2(2) - 3
y = 4 - 3
y = 1
In the last several weeks, 18 days saw rain and 29 days saw high winds. in the same time period 7 days saw both rain and high winds. How many days saw either rain or high winds
Answers
Answer:
40 days saw either rain or high winds
Step-by-step explanation:
We solve this question using Venn sets.
I am going to say that:
Set A: Rain
Set B: High winds.
18 days saw rain
This means that [tex]A = 18[/tex]
29 days saw high winds
This means that [tex]B = 29[/tex]
7 days saw both rain and high winds.
This means that [tex]A \cap B = 7[/tex]
How many days saw either rain or high winds?
This is
[tex]A \cup B = A + B - A \cap B[/tex]
Sp
[tex]A \cup B = 18 + 29 - 7 = 40[/tex]
40 days saw either rain or high winds
Use the passbook page to answer the question.
Name Ken Ritter
Account 10000000004
Date Deposit Withdrawal Interest Balance
1/02/06 $389.00
$389.00
2/05.06 $25.63
A
3/02/06 $122.33
B
4/02/06
$240 С
4/15,06
$500.00
D
5/06/06 $105.00
E
Ken Ritter was saving for a computer.
What was his balance B after he made two deposits?
O $526.36
o S536.96
OS554.26
O S636.86
Answers
Answer:
the answer is 536.96
its asking for you to add the balance (389) with the 2 deposits (25.63, 122.33)
hope this helps
The floor of a storage unit is 6 ft long and 8 feet wide what is the distance between two opposite corners of the floor
Answers
Answer:
10 ft
Step-by-step explanation:
Use theorem pythagoras
Length = x
[tex] {x}^{2} = 8 {}^{2} + {6}^{2} \\ x = - 10 \\ x = 10[/tex]
the answer is 10 because length can't be in negative number
Karla invests $10,000 into an account with a 2.2% interest that is compounded annually.
How much money will she have in this account if she keeps it for 5 years?
Answers
$11, 162.78 amount she have in this account if she keeps it for 5 years.
What is Future value?Future value (FV) is a financial concept that provides a monetary worth to an asset depending on future variables such as interest rates or cashflows. An investor may find it valuable to know how much their investment will be worth in five years given a projected rate of return. Future value is calculated by taking the investment value now, applying predicted growth, and estimating what the investment will be in the future.
We have,
P = $10,000
R= 2.2%
T= 5 years
So, Amount after 5 years
= P (1 + r/2[tex])^{2t[/tex]
= 10,000 (1 + 0.011[tex])^{0.022(5)}\\[/tex]
= $11, 162.78
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Identify the slope and y-intercept of the line.
8x - 3y = 12
Answers
Answer:
y=8/3x-4
Step-by-step explanation:
use the app photomath to get the answers or socratic there free and will help you on homework or tests
Answer:
Step-by-step explanation:
8x-3y=12
-3y=12-8x
y=(12/-3)-8x/(-3)
y= -4+8/3x
slope= 8/3
y-int=-4
naing ducts Of Differences Show that (x - 1)(x - 1) and x² – 2x + 1 are equivalent expressions by drawing a diagram or applying the distributive property. Show your reasoning.
Answers
Answer:
(x-1)(x-1) = x^2-2x+1
Step-by-step explanation:
x^2-1x-1x+1 = x^2-2x+1
Is (x-4) a factor of x^3 +x^2 -16x-16x 3 +x 2 −16x−16 ?
Answers
Answer:
For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:
Step-by-step explanation:
The director of Washington County Animal Services wants to learn more about the adoptable pets in local animal shelters. Which of these methods will produce the most representative sample of the population of adoptable pets at shelters in Washington County? O A. The director visits each shelter and evaluates the first 10 cats in each place. O B. The director evaluates all adoptable rabbits at area shelters. O C. The director selects adoptable pet ID numbers at random from each shelter. O D. The director evaluates every adoptable pet at one selected shelter.
Answers
Answer: It is C, The director selects adoptable pets ID numbers at random from each shelter!
Step-by-step explanation: I took the quiz on A P E X^^
In a complete sentence, describe the relevant angle relationships in the following diagram. Find the measures of 푥푥 and 푦푦.
Answers
Answer:
Um, what is 푦푦?
Step-by-step explanation:
Answer:
Yes, but actually yes.
Step-by-step explanation:
A kite was broken into two triangles of the same size and shape .
The area of each triangle is ? Square centimeters
20,40,80,160
The total are of the kite is ? Square centimeters
40,80,160,320
ANSWER_
The answers are 40 and 80
Answers
Answer:
hey the answer is 402
Step-by-step explanation:
Answer:
40 and 80
Step-by-step explanation:
got it on edgenuit y
Find the slope of the line that passes through (6, 8) and (10, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer
Answers
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]
The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates.
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m = \frac{9 - (8)}{10 - (6)} [/tex]
Simplify.
[tex]m = \frac{1}{4} [/tex]
Therefor, the slope is 1/4.
What is the length of PR?
Answers
Answer: The length of PR is 7 units.
Step-by-step explanation:The length of PR is 7 units.
Answer:
A.7
Step-by-step explanation:
Pls help you will get brainlist if ya do
Answers
two more than a number is less than 13
Answers
Answer:
x + 2 < 13
Step-by-step explanation:
hopefully this helps :)
have a nice day !!
**please let me know if this wasn't what you were looking for**
The circumference of the tree trunk is 7.85 feet. If the tree trunk is cut, what will be the diameter of the tree stump ? Use 3.14 for
Answers
Answer:
The diameter is 2.5ft
Step-by-step explanation:
Given
[tex]C = 7.85[/tex] --- Circumference
Required
Determine the diameter
The circumference of a circular surface is:
[tex]C =\pi d[/tex]
Substitute values for C and [tex]\pi[/tex]
[tex]7.85 = 3.14 * d[/tex]
[tex]d = \frac{7.85}{3.14}[/tex]
[tex]d = 2.5[/tex]
The diameter is 2.5ft
Pls helppp ASAP pls
Answers
Answer:
Four (4); 45; at least; 181.
Step-by-step explanation:
Ali has four friends that owe him x dollars each. His parents owe him $45 for doing chores last week. He recalls that people owed him at least $181.
To find how much money each of Ali's friends owe him;
Given the algebraic expression;
4x + 45 ≤ 181
4x ≤ 181 - 45
4x ≤ 36
Dividing both sides by 9, we have;
x ≤ 9
Therefore, Ali's friends owe him at least $9 each.
Answer:
Four (4); 45; at least; 181.
Step-by-step explanation:
Hope this helps
Juan determines that a triangle has sides that measure 5 cm, 12 cm, and 13 cm. The same triangle also has one 90°° angle and two angles that are less than 90°°. Which best describes the triangle Juan is measuring?
isosceles right
scalene acute
scalene right
equilateral right
Answers
Answer:
scalene right
Step-by-step explanation:
A scalene right has no equal side lengths, has a right side(90) and will have two angles less than 90 because all three triangle sides need to equal to be 180. So scalene right is your answer. Hope that helped!
Dave's bank account balance reads -$345. What does this mean?
Answers
Answer:
hes in debt 345 dollars
Step-by-step explanation:
Milan has a total of 51 nickels and dimes worth $4.95. How many of each coin does she have?
Answers
Answer: 75 coins total, 51 nickels and 24 dimes.
Step-by-step explanation:
To the nearest 1000, there are 18,000 people at a festival . Write down the minimum possible number of people at the festival
Answers
Answer:
17500
Step-by-step explanation:
17499 rounds down
17500 rounds up
The number of people is an illustration of approximation and estimation
The minimum possible number of people at the festival is 17500
The approximated number of people is:
People = 18000
Because 18000 represents people, it means that the population is a whole number
The smallest whole number that can be approximated to 18000 is 17500
i.e.
People = 17500
Hence, the minimum possible number of people at the festival is 17500
Read more about approximation and estimation at:
https://brainly.com/question/24586443
A circle has a radius of 48 millimeters.
What is the length of the arc intercepted by a central angle that measures 3π4 radians?
Express the answer in terms of π .
Answers
Answer:
36pi mm
Step-by-step explanation:
A circle has 2pi radians so 3pi/4 is 3/8 of it. The circumference is 96 mm so the length of the arc is 36pi mm.
Answer:
36π
Step-by-step explanation:
which rule descibes the pattern?
Answers
Answer:
-1/2
Step-by-step explanation:
I think not 100% sure tho
Answer:
“multiply by 2 and then subtract 1.
Step-by-step explanation:
giving brainliest !! *easy*
Answers
um here’s the graph
Solve For X. Your answer must be simplified
Answers
sorry, i cant do the arrow thing on my keyboard, but it’s the same arrow in the picture
What are the solutions to x2 + x-7≤0
Answers
2+x-7≤0
(2-7=-5)
x-5≤0
+5 +5
x≤5
---
hope it helps
i need help <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3\
Answers
Answer:
the cordnate for X is 2 the cordnate for Y is -2
Answer: the coordinate for X is 2 the coordinate for Y is -2.
Step-by-step explanation: