Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)
Answer:
V(x) = (17 - 2x)(11 - 2x)x
Step-by-step explanation:
We are told that She is making an open top box. This means the box will have only 5 faces.
Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.
Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.
Thus, measurement of width from the 11 inches paper = (11 - 2x)
Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;
(17 - 2x)
Now,recall that a side of the square is x.
Thus, the depth is x.
Now, volume of a box is given by;
V = length x width x depth
Thus, in this case;
V(x) = (17 - 2x)(11 - 2x)x
4. What is the solution of the proportion 3 16 = 9 y ?
answer:
5.33333333333
(8x + 6) ° = ___°
8x =
x =
Answer:
7°
Step-by-step explanation:
(8x+6)°=62°
8x=62°-6°
8x= 56°
X=(56/8)
X==7°
A line includes the points (6, 2) and (8, 6). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x −
Answer:
y=2x-10
Step-by-step explanation:
Hope this helps (:
help please show steps please I don't know what to do so I want to learn not just get the answer
how would a one-fifth in numbers be?
-7a-3=18
Solve for A
Answer:
a = -3
Step-by-step explanation:
-7a-3=18
Add 3 to each side
-7a-3+3=18+3
-7a = 21
Divide each side by -7
-7a/-7 = 21/-7
a = -3
Answer:
a= -3
Step-by-step explanation:
[-7a - 3 = 18]
Add 3 to both sides
[-7a=21]
Divide both sides by -7
[a= -3]
Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yard to the mailbox, a distance of 24 feet he came straight back across the yard 10 feet and stopped to pet his dog How far did joshua walk in total
Answer:
Joshua walked 48 feet in total.
Step-by-step explanation:
To find the total distance we need to sum every distance that he walked. We have:
- First: Joshua walked down the hall to the door = 14 feet
- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet
- Third: He came straight back across the yard and stopped to pet his dog = 10 feet
Hence, the total distance is:
[tex] d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft [/tex]
Therefore, Joshua walked 48 feet in total.
I hope it helps you!
If you have 24 questions how many answers can you miss to have a passing grade
Answer:
you have to get 15 right so for 60% or above so you can miss 9
Step-by-step explanation:
60% of 24 is 14.4 round it up because if down its below 60% and no longer passing but it rounds to 15
Answer: 7
Step-by-step explanation:
Because if 6 is 75% we can conclude 7 is 71%
How are Asexual Reproduction and Sexual Reproduction alike?
Will Mark Brainliest and 5 stars
Answer:
They are both types of reproduction.
Step-by-step explanation:
what is the exact value of tan(9pi/8)
Answer:
The second one: sqrt 2 - 1
Step-by-step explanation:
Answer:
B. [tex]\sqrt{2} -1[/tex]
Step-by-step explanation:
Order each group of numbers from least to greatest. 1. 4, π, 8 2. 5, 173, π+ 2 ________________________________________ ________________________________________ 3. 2, 1.7, −2 4. 2.5, 5, 32 ________________________________________ ________________________________________ 5. 3.7, 13, π+ 1 6. 54, π− 2, 52 ________________________________________ ________________________________________
Answer:
1. π, 4, 8
2. 5, π + 2, 173
3. -2, 1.7, 2
4. 2.5, 5, 32
5. 3.7, π + 1, 13
6. π - 2, 52, 54
Step-by-step explanation:
π = 3.1415
HELP!! please explain how you got the answer too.
Determine whether cach point lies on the graph of the line y = 4.6x -7.
H(0, -7)
Answer:
Point H does lie on the graph y = 4.6x - 7
Step-by-step explanation:
Step 1: Define
y = 4.6x - 7
H(0, -7)
Step 2: Substitute, Evaluate, and Check
-7 = 4.6(0) - 7
-7 = 0 - 7
-7 = -7
Answer:
H(0,-7) does lie on the graph of line y = 4.6x - 7
Step-by-step explanation:
All you have to do is simply plug in the x and y values.
From the point H (0,-7) we can say that
x = 0
y = -7
Now just plug it into the equation.
y = 4.6x - 7
(-7) = 4.6(0) - 7
-7 = -7
Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.
Mac wants to buy ice cream cones. It would cost $8.25 for 3 ice cream cones. At this rate how much will she spend on only 2 ice creams cones? What information is given to solve the problem? B. What do you need to solve for?
Answer:
see below
Step-by-step explanation:
We can use proportions to solve
$8.25 x
------------- = ------------
3 cones 2 cones
Using cross products
8.25 * 2 = 3x
16.50 = 3x
Divide by 3
16.50 /3 = x
5.50 =x
2 cones will cost 5.50
Choose a point that can be added so that the relation will remain a function.
{ (-3,9), (-2,4), (2,4), (3,9) }
A.
(-2,8)
B.
(1,9)
C.
(2,10)
D.
(-3,0)
Gente pelo amor de Deus, qual é a responsta dessa questão: "Sendo a área de um retângulo fixado em 36cm2. Observa-se na tabela a seguir, algumas possibilidades de medidas para o comprimento e sua respectiva largura. Têm-se a que, neste caso, a sentença algébrica que relaciona o comprimento (c), em centímetros, com a largura (I) é:
Esta questão está completa
Pergunta completa
Gente pelo amor de Deus, qual é a responsta dessa questão: "Sendo a área de um retângulo fixado em 36cm². Observa-se na tabela a seguir, algumas possibilidades de medidas para o comprimento e sua respectiva largura.
Comprimento(c) | Largura (l)
18 | 2
12 | 3
9 | 4
6 | 6
Têm-se a que, neste caso, a sentença algébrica que relaciona o comprimento (c), em centímetros, com a largura (I) é:
A) c = 36/l
B) c = 45 + 15l
C) 36 = 2c + 2I
D) I = 36 - c
Answer:
A) c = 36/l
Step-by-step explanation:
A fórmula para a área de um retângulo é dada como Comprimento × Largura ou Comprimento × Respiração
A área do retângulo acima é fornecida como 36cm²
= 36cm² = Comprimento × Largura
36cm² = c × l
Portanto, a sentença algébrica que relaciona o comprimento (c), em correspondência, com a largura (I) é
c = 36 / l
Portanto, a resposta correta = opção A)
10. You want to be able to withdraw $30,000 each year for 25 years. Your account earns 8% interest. a. How much do you need in your account at the beginning? b. How much total money will you pull out of the account? c. How much of that money is interest?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Rate (r) = 8% =. 0.08
Period (t) = 25 years
Yearly withdrawal = cashflow = P= $30,000
Using the present value formula (PV) :
Present Value (PV) = P[(1 - (1 + r)^-n) / r]
PV = 30000((1 - (1 + 0.08)^-25) / 0.08)
PV = $320,243.29
B.) Total amount pulled out :
Yearly withdrawal * number of years
$25000 * 25 = 625,000
C.)
Interest :
$625000 - $320,243.29 = $304,756.71
6/8 time is twice as fast as 3/4
True or False
Answer:
False
Step-by-step explanation:
Multiplying the numerator and the denominator by a number is basically multiplying the equation by 1, meaning that it won't change the value.
Keeping that in mind, 6/8 can be reduced to 3/4 by multiplying the top and bottom by 1/2, meaning they are equal.
To actually multiply a fraction to make it 2 times itself, you only multiply the numerator(top), not the denominator(bottom).
Answer:
False
Step-by-step explanation:
PLEASE HELP ME TO SoLVE THIS Questions
Assume the segment AB has already been constructed. What is the first step to construct the perpendicular bisector of AB?
Answer:
The first step is to place the compass needle on one of the ends of the given segment AB, and draw an arc above and below the segment AB
Step-by-step explanation:
The steps to construct a perpendicular to segment AB are;
1) Place the compass needle on one of the ends of the given segment AB, and draw an arc above and below the segment AB
2) With the same compass width, place the compass needle on the other end of segment AB, and draw an arc above and below the segment AB intersecting the arcs constructed in step 1 above. Label the point of intersection as C and D
3) With a straight edge, draw a line joining the points of intersection C and D of the two arcs. The line CD. is the perpendicular bisector of the segment AB.
Juliet prepares cupcakes for a party. The recipe calls for 21 tablespoons of flour, but she only has a teaspoon to measure the flour. She uses 3 teaspoons of flour for each 1 tablespoon in the recipe. At this rate how many teaspoons of flour are required to make the cupcakes?
Answer:
63 teaspoons
Step-by-step explanation:
if 3 teaspoons equals 1 tablespoon and you need 21 tablespoons of flour the 21X3=63 so it requires 63 teaspoon measures to make the cupcakes
Isabella owns a rectangular lot with an area of 9/32 SQAURE mile. If the length of the western side of her lot is 3/4 mile, what is the length of the northern side?
Answer:
as below
Step-by-step explanation:
9/32=3/4 * y/x
becasue this is multiplication of fractions , its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32
y=3
x=8
so the answer is 3/8 mile
The length of the northern side of a rectangular plot is 3/8 mile.
Here,
Area of rectangular lot = 9/32 square mile.
Length of the western side of lot = 3/4 mile.
We have to find the length of the northern side.
What is Area of rectangle?
The area of a rectangle is product of length and width.
Now,
Area of rectangular lot = 9/32 square mile.
Length of the western side of lot ( width ) = 3/4 mile.
Let the length of the northern side ( length ) = x mile
So,
Area of rectangle = length x width
[tex]\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}[/tex]
Hence, The length of the northern side of a rectangular plot is 3/8 mile.
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PLEASE HELP I DONT UNDERSTANDDDD I WILL MARK BRAINLY IF CORRECT
In a petri dish, a certain type of bacterium doubles in number every 20
minutes.
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
A. 410
Ο Ο
B. 27
O C. 210
O D. 221
Answer:
C. 2^10
Step-by-step explanation:
Law of indices
a^x + a^y = a^(x+y)
2^3 × 2^7
=2^(3+7)
=2^10
Is this equation an example of a literal equation? Why?
Answer:
yes this is...,.,.,.....
Solve for f: 7a−3d+6f=5
4. Which of these is a linear pair?
2x+x=180
3x=180
x=180/3
x=60
What is the midpoint between (3,-1) and (7,-5)
(2, -2)
(5,-2)
(10,-6)
(5,-3)
Answer:
(5, -3)
Step-by-step explanation:
in a geometrical progression,the product of the 2nd and 4th term is double the the 5th terms. and the sum of the first four terms is 80 find the G.p
The 15th term of the geometric progression is 9,565,94.
What is the 15th term of the geometric progression?A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.
From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that
a1 r a1 r3 = 2 a1 r4
The r's and one a1 cancel leaving a1 = 2.
Now, plugging similarly into a1 + a2 + a3 + a4 = 80,
2 + 2r + 2r2 + 2r3 = 80
r3 + r2 + r + 1 = 40
In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.
So the geometric sequence here is an = 2 3n-1. The 15th term is then:
a15 = 2*3^14
a15 = 9,565,938.
Full question:
A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.
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HELP PLEASE & I WANT EVERY STEP THIS MY GRADE NOT YA'LLS
Brian rides his bike 0.27 of a mile per min. If it takes him 27 mins to ride his bike to his friends house, how far away does his friend live ?
Answer:
7.29 miles
Step-by-step explanation:
In 1 minute, Brian rides his bike for 0.27 of a mile.
in 27 mins the distance is going to be more than the other ( i.e 0.27 miles)
We use the proportion then get a solution
1 min = 0.27 miles
27 mins = (27 mins÷ 1 min) × 0.27
= 27 × 0.27 miles
= 7.29 miles
Step-by-step explanation:
Given parameters:
Speed of the Brain's bike = 0.27mile/min
Time = 27min
Unknown:
distance between Brain's house and where his friend lives =?
Solution:
Speed is a physical quantity.
It is mathematically expressed as'
Speed = [tex]\frac{distance}{time}[/tex]
Distance = speed x time
Input the parameters;
Distance = 0.27mile/min x 27min = 7.29miles
Before i thought the dividing functions