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Complete Question
An open box is formed from a rectangular piece of cardboard that is 5 in. longer than it is wide, by removing squares of side 4 in. from each corner and folding up the sides. If the volume of the carton is then 336 in³, what were the dimensions of the original piece of cardboard?
Select one:
a. 15 in. by 20 in.
b. 7 in. by 12 in.
c. 11 in. by 16 in.
d. 19 in. by 24 in.
Answer:
a. 15 in. by 20 in.
Step-by-step explanation:
We are told that:
An open box is formed from a rectangular piece of cardboard that is 5 in longer than it is wide, by removing squares of side 4 in from each corner and folding up the sides.
Volume of the carton = 336 in³
Step 1
We find the area of the new piece of the cardboard
Volume of the carton/side of the square removed
= 336 in³/4 in
= 84 in²
Step 2
An open box is formed from a rectangular piece of cardboard that is 5 in longer than it is width.
Length = 5 + Width
Hence, we find the factors of 84 in² that has a difference of 5 in
Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84
Hence, the Factors with a difference of 5 inches = 7 and 12
The Length = 12 inches
Width is 7 inches.
The dimensions of the new piece of cardboard is 7 inches by 12 inches
Step 3
What were the dimensions of the original piece of cardboard?
Remember in the question, we are told that squares of sides 4 inches were removed from both corners
Hence,
4 inches + 4 inches = 8 inches was removed.
The dimensions of the original piece of cardboard =
Original Width = Width of the new cardboard + 8 inches
= 7 inches + 8 inches
= 15 inches.
Original length = Length of the the new cardboard + 8 inches
= 12 inches + 8 inches
= 20 inches.
Therefore, the dimensions of the original piece of cardboard is 15 inches by 20 inches
Find the value of x in the triangle shown below.
x = ?
(this is another question)
Step-by-step explanation:
in a triangle = 180°
56 + 37 + x = 180
93 + x = 180
x = 180 - 93
x = 87
Melissa was recording the heights of 4 flowers in her garden. The rose bush grew 12 inches in 1 month, the daisies grew 5 inches in 2 weeks, the tulips grew 8 inches in 3 weeks, and the daffodils grew 3 inches in 1 week. Which flower grew at the slowest rate?
Answer:
Daisies flower grows the slowest
Step-by-step explanation:
We are given;
Rate of growth of rose bush; 12 inches in 1 month.
1 month = 4 weeks.
Thus, we have; 12 inches in 4 weeks.
In 1 week, it grows; 12/4 = 3 inches per week
Rate of growth of daisies; 5 inches in 2 weeks. Thus, in 1 week, it grows by; 5/2 = 2.5 inches per week.
Rate of growth of tulips; 8 inches in 3 weeks. In one week, it grows by; 8/3 = 2.67 inches per week
Rate of growth of daffodils; 3 inches in 1 week = 3 inches per week
Looking at all the rates above, the slowest is 2.5 inches per week. This is for daisies.
NEed HeLp PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
4.
Independent variable: Number of cans
Dependent variable: Soda
The amount of soda is dependent on the number of cans
y = 12x
5.
Independent variable: Number of biscuits
Dependent variable: Number of tricks
The number of biscuits is dependent on the number of tricks
y = 20 - 3x
A particular plant root grows 1.5 inches per month. How many centimeters is the plant root growing per month? (1 inch = 2.54 centimeters). 0.59 centimeters 1.69 centimeters 3.81 centimeters 4.04 centimeters
Answer:
The plant root grows 3.81 centimeters per month.
Step-by-step explanation:
From Physics, we remember that an inch equals 2.54 centimeters. Given that a particular plant root grows 1.5 inches per month, we proceed to make a quick conversion to calculate its value in centimeters per month:
[tex]x = 1.5\,\frac{in}{mo}\times \frac{2.54\,cm}{1\,in}[/tex]
[tex]x = 3.81\,\frac{cm}{mo}[/tex]
The plant root grows 3.81 centimeters per month.
Do you know the answer?
Answer:
D: x=-3/k
Step-by-step explanation:
kx+7=4 (Subtract 7 from both sides)
kx=-3 (Divide both sides by k)
x=-3/k
x^3 = -27 whats the answer
Answer:
-3
Step-by-step explanation:
The answer is -3 because -3 *-3 * -3 would equal -27
Hope this helps:)
Help ASAP..............
Answer:
3
Step-by-step explanation:
its not a perfect square
Write the expression:
"ten divided by three times a number
Answer:
10÷3x just put that down,I hope that's what you were looking for
Answer:
10/(3n)
Step-by-step explanation:
So it would be 10 divided by 3n since the n is right next to the 3 that meanns it will be multiplied.
what is 9 plus 9 divided by 1
Answer:
18
Step-by-step explanation:
9+9=18 x 1= would just be 18
Answer:
18
Step-by-step explanation:
Home improvement charges $360 plus $12 per hour.Ace hardware charges $279 plus $15 per hour.Write and solve an equation for which the two cost would be the same
Answer:
360+12x=279+15x
The two costs would be the same when both companies charge 27 hours.
Step-by-step explanation:
From the information given, you need to find the number of hours where both companies charge the same and to do that, you can write an equation where Home Improvement cost is equal to Ace Hardware cost:
360+12x=279+15x, where x is the number of hours
Now, you can solve for x:
360-279=15x-12x
81=3x
x=81/3
x=27
According to this, the answer is that the two costs would be the same when both companies charge 27 hours.
Over a period of 3 hours 180 acorns fell from a tree. How many acorns fell in one hour?
Answer:
That is very easy it is 60
Step-by-step explanation:
Answer:
Step-by-step explanation:
3h=180
/3 /3
h=60hours
John's library has 3 hardcover books for every 8 paperbacks. If he has 121 books in his library, how many of them are paperbacks. Will mark brainliest if correct. Pls show work.
Answer: 88
Step-by-step explanation:
1. Add 3 and 8 together
3 + 8 = 11
2. Divide 121 by 11
121/ 11 = 11
3. Multiply the amount of paperbacks in the stack of 11 books (8) by 11
11 x 8 = 88
88 Is your answer.
Carl and Cameron are at a pool carl dives in and touches the bottom of the pool 15 feet below the surface of the water Cameron standing on a diving platform 2 feet above the surface waiting for his turn what is the vertical distance between Carl's hand and Cameron feet
Answer:
21
Step-by-step explanation:
Answer:
17ft
Step-by-step explanation:
If Carl touches the bottom with his hand which is 15ft below the surface, and Cameron is standing 2 feet above the surface, all you have to do is add the two together. Cameron's feet are 2 feet above the surface, Carl's hand is 15ft below. 15 + 2 is 17.
HELP!!! simplify 7y^3√4x^6y^5
Answer:
Step-by-step explanation:
14y
3
(∣x∣)
3y
5
3r - 5 = 2r
How many solutions?
Answer:
one solution
Step-by-step explanation:
3r - 5 = 2r
=> 3r - 2r = 5
<=> r = 5
Answer:
One solution
Step-by-step explanation:
3r - 5 = 2r
-5 = 2r - 3r
-5 = -r
5 = r
( PLEASE ANSWER I WILL AWARD BRAINLIEST) A train is traveling at a constant speed and goes 7.5 kilometers in 6 minutes. At that rate:
How far does the train go in 1 minute?
How far does the train go in 100 minutes?
Answer:
#1-1.25
#2-125
Step-by-step explanation:
s=d/t
s=7.5/6
s=1.25
d=s*t
d=1.25*1
d=1.25
d=s*t
d=1.25*100
d=125
To even check my answer if you do 1.25*6 you get the distance 7.5 that was mentioned in the question.
Hope this helps! :) Plz mark as brainliest
-3 1/3 times -2 7/10
Answer: how do I say this.....
Step-by-step explanation:
-9
Step-by-step explanation:
[tex]( - 3 \frac{1}{3} ) \times (- 2 \frac{7}{10} ) \\ \\ - \frac{10}{3} \times ( - \frac{27}{10} ) \\ \\ \frac{270}{30 } = 9[/tex]
What is the value of 2x+20
Answer:
Divide each term by
2
and simplify.
x
=
10
Step-by-step explanation:
hope this helps
If 8/2x-3 = 4, what is the value of x?
Answer:
extract-7/4
decimal-1.75
mixed number-1 3/4
Step-by-step explanation:
SO GOD HELP ME I HATE MATH
Answer:
-4/5
Step-by-step explanation:
Answer:
-5/4
Step-by-step explanation:
Rise over run (It rises up 5 and to the left 4 between intersecting lines)
if 12 cows produce 70 gallons of milk how many gallons of milk would 42 cows produce
Answer:
245
Step-by-step explanation:
4242/12=3.5
70×3.5=245
The population growth (in thousands) for Decatur can be represented by the expression 3x + 5 3 x + 261, where x represents the number of years since 2016. The population growth (in thousands) for neighboring Lithonia can be represented by the expression 4x - 5 2 x + 212, where x represents the numberof years since 2016. The governor of Georgia would like to know when the populations of the two towns will be equal.
Answer:
1967 or 2069
Step-by-step explanation:
To do this, you need to equal the expressions:
3x^2+53x+261=4x^2-52x+212
now, solve for y, when x=0:
-1(0)^2+53(0)+261=4(0)^2-52(0)+212
0+0+261=0-0+212
261=212
the difference is 49, so 49 years before or after 2016.
i think i did this right, if not im sorry bc im tired
Can someone PLEASE HELP ME
Answer:
Sorry cant HELP BECAUSE YOU PUTTED IN THE MATHEMATICS ONE
Step-by-step explanation:
sorry cant help I thought it was math.._..
What is the measure of angle B I need help fast
Answer:
it is 36°
Step-by-step explanation:
180-117 =63
180-(117+63)=36
The Rodriguez family went out to dinner and the bill came to $35.85. They wanted to leave a 20% tip. What is the tip? What is the total amount the Rodriguez family spent at the restaurant?
Answer:
The tip is $7.17
Total amount spent is $43.02
Step-by-step explanation:
The bill is $35.85
The tip is 20%
You want to find 20% of $35.85 so multiply 35.85 by .2 (20% to decimal is .2)
35.85 multiplied by .2 gives you $7.17
So the tip is going to be $7.17
The total amount the family pays is the sum of the tip and the bill so
tip + bill = $7.17+$35.85 = $43.02
hope this helps
Answer:
total = $43.02
Step-by-step explanation:
for tip,
X = 20% of bill
X = 20/ 100 X $35.85
X = $ 7.17
For total amount,
total = bill + tip
= $35.85 + $7.17
= $43.02
I tried to do this may I pls get a little help
Answer:
-115
Step-by-step explanation:
well first look at your picture -115 is in the integers circle not the whole numbers one also a whole number can't be a negative number
The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.
Based on the graph, the car requires gallons of fuel to travel 100 miles.
PLZ HELP
Answer:
2.5 gallons
Step-by-step explanation:
You can just check the graph by searching for the y-axis for 100miles ^^
Answer:
2.5 gallons
Step-by-step explanation:
When playing many games, players must roll a pair of dice and find the sum of the two numbers rolled. With two dice, there are 11 possible sums ranging from 2 through 12. What is the probability that a player will roll a sum of 11 on his first roll of two dice? Express your answer as a common fraction.
Answer:
[tex]Probability = \frac{1}{18}[/tex]
Step-by-step explanation:
Given
[tex]Dice = 2[/tex]
Required
Probability of getting sum of 11
First, we need to list out the sample space;
Represent the first dice with S1 and the second with S2
[tex]S_1 = \{1,2,3,4,5,6\}[/tex]
[tex]S_2 = \{1,2,3,4,5,6\}[/tex]
Represent the Sum of the outcome with S
So, the new sample space is the sum of outcome of S1 and S2
So, S is as follows:
[tex]S = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]
Represent the number of sample space with n(S)
[tex]n(S) = 36[/tex]
To determine the probability of outcome of 11, we need to list out the number of outcomes of 11.
Represent this with n(11)
From the sample space above,
[tex]n(11) = 2[/tex]
The required probability is then calculated as thus:
[tex]Probability = \frac{n(11)}{n(S)}[/tex]
[tex]Probability = \frac{2}{36}[/tex]
Simplify to the least term
[tex]Probability = \frac{1}{18}[/tex]
What is the volume, in cubic cm, of a cylinder with the height of 16cm and a base radius of 3 cm, to the nearest tenths place?
452.16 cm³ is the volume of a cylinder with the height of 16cm and a base radius of 3 cm
Volume of cylinder based problem:Height of cylinder = 16 cm
Radius of cylinder = 3 cm
Volume of cylinder = πr²h
Volume of cylinder = (3.14)(3)²(16)
Volume of cylinder = (3.14)(9)(16)
Volume of cylinder = 452.16 cm³
Find out more information about 'Cylinder'.
https://brainly.com/question/3216899?referrer=searchResults
4x – 6x combining like terms
Answer: -2x
Step-by-step explanation: Very easy maths. Just add 4x + -6x, which is -2x. There's your answer.