Answer: 65 people completed graduate school.
Step-by-step explanation:
25% of 260 is 65.
Answer:
is 65
Step-by-step explanation:
Got 26 wrong on test
An open-top box is to be made from a 12-inch by 24-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the maximum possible volume, in cubic inches, of the box?
Answer:
The maximum possible volume = 332.685 cubic inches
Step-by-step explanation:
From the information given:
Let the height be = x
The length be = 24 - 2x
The width be = 12 - 2x
Then V = x (24 -2x) ( 12 - 2x)
V = x ( 288 -48x - 24x +4x²)
V = x(288 - 72x + 4x²)
V = 288x - 72x² + 4x³
[tex]\dfrac{dV}{dx}= (3x^2 - 36x+ 72)[/tex]
[tex]\implies x^2 - 12x + 24 = 0[/tex]
[tex]=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}[/tex]
[tex]=\dfrac{12 \pm \sqrt{144 - 96}}{2}[/tex]
[tex]=\dfrac{12 \pm \sqrt{48}}{2}[/tex]
where;
[tex]x \ne \dfrac{12 + \sqrt{48}}{2}[/tex]
∴ [tex]x= \dfrac{12 - \sqrt{48}}{2}[/tex]
x = 2.536 ( since the length cannot be negative)
So, the length x = 24 - 2(2.535) = 18.93
The width = 12 - 2(2.535) = 6.93
heigth = 2.536
∴
V = 18.93 × 6.93 × 2.536
V = 332.685 cubic inches
A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.
Volume of a cuboid: Volume of a cuboid or rectangular box is given by the expression,Volume = Length × Width × Height
Given in the question,
Plastic sheet with length = 12 inches Width of the sheet = 24 inches A square has been removed from each corner to fold the box.Let the measure of each side of a square removed = x inches
Therefore, length of the box = (12 - 2x) inches
Width of the box = (24 - 2x) inches
Height of the box = x inches
Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)
V = 4x³ - 72x² + 288x
To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.
V' = 12x² - 144x + 288
For V' = 0,
12x² - 144x + 288 = 0
x² - 12x + 24 = 0
[tex]x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}[/tex]
[tex]x=(6\pm2\sqrt{3})[/tex]
[tex]x=9.46,2.54[/tex]
For x = 9.46,
Volume of the box = 4(9.46)³- 72(9.46)² + 288
= -2769.03 cubic inches
For x = 2.54,
Volume of the box = 4(2.54)³- 72(2.54)² + 288
= 332.55 cubic inches
Therefore, maximum volume of the box will be 332.55 cubic inches.
Learn more about the volume of a cuboid here,
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y=_x+_ what would be the answer
Answer:
y = -1/4x + 2
Step-by-step explanation:
slope = rise over run
-1 rise for 4 run
y intercept = 2
y = -1/4x + 2
Find the exact volume of a waffle ice cream cone with 15-in. Diameter and a height of 23 inches
Find the slope of the line containing the points (10,400) and (50, 900). Write your answer as a simplified fraction
Answer: 25
2
Step-by-step explanation:
900 - 400 = 500 = 25
50 - 10 = 40= 2
which of the following can be used to show that these triangles are congruent?
Answer:
ASA
Step-by-step explanation:
Angle B side BC and angle C
Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.
In the given figure, ΔABC and ΔCDE.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Here,
Consider ΔABC and ΔCDE, we get
∠B = ∠E (Given)
BC=CE (Given)
∠BCA = ∠ECD (Vertically opposite angles)
By ASA congruence, ΔABC≅ΔCDE
Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.
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The temperature was 12°C before the storm. During the storm, the temperature dropped 19°C. What was the temperature at the end of the storm?
Answer:
-7 degrees celsius
Step-by-step explanation:
12-19=-7
Answer:
-7
Step-by-step explanation:
12 - 19 = -7
The sum of 2x50 and 3x50 is ____ x 50?
5
Simply add 3 and 2. You dont need to worry about the 50.
Or, complete 2x50 and 3x50
Now you would have 100 and 150.
Then add them to get 250.
Finally, divide 250 by 50.
Your answer should be 5
Which of the following shows the best communicative property of addition ?
4+5=4-(-5)
4+5=9
4+5=5+4
4+5=4+(2+3)
Answer:
In the given options, 4+5 = 5+4 shows the best commutative property.
Step-by-step explanation:
One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.
Commutative property can be applied on addition, subtraction and multiplication.
Commutative property of Addition:
Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a
In the given options, 4+5 = 5+4 shows the best commutative property.
In a semiconductor company's quality control test, a machine found that 14 out of a sample of 234 computer chips were defective. How many of the 4705 such chips that the company makes each month would you expect to be defective?
Answer:
281-282
Step-by-step explanation:
Solve for x.
14 = 28 + 7x
Answer:
X = 2
Step-by-step explanation:
14= 28 + 7x
28 - 14 = 7x
14 = 7x
14 / 7
2 = x
Answer:
x = − 2
Step-by-step explanation:
What is the volume, measured in cubic centimeters, of the box below? Do not
include units in your answer.
4 cm
5 cm
1 cm
Answer:
20
Step-by-step explanation:
4 × 5 × 1 = 20 (cm³)
Hope it help, please give me Brainlest!
Answer:
20
Step-by-step explanation:
The formula for volume:
[tex]V=length*width*height\\\\V=lwh[/tex]
Multiply all given values together:
[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]
The volume of the box is 20cm³.
:Done
Note:
"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.
Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.
Question 3 :
Furniture of vendor firm recorded in
the books at Rs.2,50,000, were taken
over by the partner at an agreed
value of Rs.1,75,000, the amount to
be debited to partners' capital
account will be:
Rs. 2,50,000
Rs.75,000
Rs.4,25,000
Rs. 1,75,000
Answer:
Rs. 2,50,000
Step-by-step explanation:
When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.
The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.
Molly opened a bank account. She deposited $86.50 into her account every month for 20 months. She used $24.50 every month to pay for singing lessons. After 20 months, she used 1 over 4 of the total money left in her account to go to a summer camp for singers. What is the total amount of money Molly spent to go to the summer camp?
Answer:$310
Step-by-step explanation:
Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11.
Write two equations that could be used to determine how much each funnel cake and drink costs. Use f for the cost of a funnel cake and d for the cost of a drink.
What is the cost of a funnel cake?
What is the cost of a drink?
Answer:
Let's define the variables:
f = Cost per cake
d = Cost per drink.
"Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. "
2*f + 1*d = $6.75
"A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11."
3*f + 2*d = $11.
Then we have a system of equations:
2*f + 1*d = $6.75
3*f + 2*d = $11.
To solve this, the first step is to isolate one of the variables in one of the equations, let's isolate d in the first equation:
d = $6.75 - 2*f
Now we can replace this in the other equation:
3*f + 2*($6.75 - 2*f) = $11
3*f - 4*f + $13.50 = $11
-f = $11 - $13.50 = -$2.50
f = $2.50
Then the cost of a funnel cake is $2.50
And the cost of a drink can be obtained with the equation:
d = $6.75 - 2*f = $6.75 - 2*$2.50 = $1.75
The cost of a drink is $1.75
If the measures of Angle 3 is 46 degrees , how much is the measure of angle 6?
Answer:
Angle 6 = 46°
Step-by-step explanation:
They are alternate interior angles which mean they are congruent
Help please I am begging
Answer:
The answer is A, 3.50w.
Step-by-step explanation:
When there is 1 pound, it is 3.50. 2 pounds it's 7.00 which is 3.50 times 2.
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A rectangle is 3/5 red. The rest is blue and yellow, but not in equal ratios. What could those ratios be? PLEASE HELP
12x+2y=-12 in slope form
Answer:
y = -6x - 6
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 12x + 2y = -12
Step 2: Rewrite in slope-intercept form
Subtract 12x on both sides: 2y = -12x - 12Divide 2 on both sides: y = -6x - 6x+ y + z = -3
3y - Z = 4
2x- y - 2z = -5
Answer:
(-3, 1, -1)Step-by-step explanation:
x + y + z = -3 --> (1) 3y - z = 4 --> (2)2x - y - 2z = -5 --> (3)Add up (1) and (2)
x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)Double (2) and subtract from (3)
2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 82x - 7y = -13 --> (5)Double (4) and subtract (5)
2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1Finding x
x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3Finding z
-3 + 1 + z = -3 ⇒ z = -1So the answer is:
(-3, 1, -1)A fish makes 480 dives on 10 hours at this rate how many dives did the fish do in 4 hours
Answer: 1200
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
First, you would divide 480 by 10 to get 48 because you divide by the number of hours.
Then, multiply 48 by 4 to get your answer.
The answer: 192
write an equation of the line with a slope of -3/4 and y-intercept of -6
Answer:
y = -3/4x - 6
Step-by-step explanation:
Find the PERCENT of change.
20 dogs to 5 dogs
Answer:
75%
Step-by-step explanation:
20-5=15 - change in numbers
15/20×100%= 75%
An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.
Let c represent the length of a real caboose. Write a proportion, in terms of c, that can be used to solve for the length of a real caboose. (Hint: Compare feet to inches. How many inches are in one foot?)
How long (in feet) is a real caboose?
ft
9514 1404 393
Answer:
c/3 = 169/1242 1/4 feetStep-by-step explanation:
Since we want to know the actual number of feet, we can write the proportion with that in the numerator.
[tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]
The real caboose is 42 1/4 feet long.
A carpenter is building a rectangular shed with a fixed perimeter of 68 ft. What are the dimensions of the largest shed that can be built? What is its area?
The dimensions of the largest shed are _____ by _____.
The area of the largest shed is _____.
Answer:
The dimensions of the largest shed are 17 ft by 17 ft.
The area of the largest shed is 289 sq ft.
Step-by-step explanation:
Given that:
Fixed perimeter of the rectangular shed = 68 ft
To find:
The dimensions of the largest shed that can be built = ?
And
Area of the largest shed that can be built = ?
Solution:
First of all, let us have a look at the formula for perimeter of a rectangular shape shed:
Perimeter of a rectangle = 2 [tex]\times[/tex] (Length + Width)
68 = 2 [tex]\times[/tex] (Length + Width)
Length + Width = 34
The largest possible values are only in the case when the rectangle is a square.
i.e. Length = Width
Therefore values of length and width are:
Length = Width = [tex]\frac{34}{2} = 17\ ft[/tex]
Area of a square is given by the formula:
[tex]A = Side \times Side[/tex]
[tex]A[/tex] = 17 [tex]\times[/tex] 17 = 289 sq ft
The answer is:
The dimensions of the largest shed are 17 ft by 17 ft.
The area of the largest shed is 289 sq ft.
Find the number whose arithmetic square root is 0.6
Answer: 0.36
Step-by-step explanation:
6/10 x 6.10= 36/100
There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
So there is a total of 6 ears, 12 paws, and 3 tails in the room.
Answer:
In the room there should be 6 ears, 12 paws, and 3 tails in total.
A taxi ride costs $4 plus an additional $3 per mile. Write the equation for the line in slope-intercept form
Answer:
y=3x+4
Step-by-step explanation:
4 is your y-intercept, and 3 is your slope.
The linear function shows the total cost will be y = 3x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
A taxi ride costs $4 plus an additional $3 per mile.
Let's say the number of miles is represented as x while the total cost is represented as y.
y = 3x + 4
Hence "The linear function shows the total cost will be y = 3x + 4".
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the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7
Answer:
x²=5x
x=5... probably c
Alex placed a classified ad in the local newspaper to sell his used Nissan Sentra. He plans to write a 9 line ad. The newspaper charges $17.50 for the first three lines (total) and then $8.25 for each extra line. How much will Alex pay for the ad?
Answer:
$67 total
Step-by-step explanation:
9-3= 6
6(8.25)= 49.50
49.50+17.50= $67
Answer:
$67.00
Step-by-step explanation
17.50 (first 3 lines) + 8.25 (for each of the 6 lines left)
17.50 + (8.25*6) =
17.50 + 49.50 =
67
Which of the following describes the following graph?
A. Function only
B. Relation only
C. Neither funtion or relation
D. Both a function and a relation