A box is formed by cutting congruent squares from the corners. Find the maximum volume of a box made out of a 14 inch by 18 inch cardboard. Find
the lenth of the side of the cut out square. Round to the nearest hundredth place "hint: you may have to change your window in desmos.
Jinches
a. Maximum volume
b. length of side of square: x=
inches
Answer:
Step-by-step explanation:
V = x(14 - 2x)(18 - 2x)
V = (14x - 2x²)(18 - 2x)
V = (252x - 28x² - 36x² + 4x³)
V = 4x³ - 64x² + 252x
V' = 12x² - 128x + 252
0 = 3x² - 32x + 63
x = (32 ±√(32² - 4(3)(63))) / (2(3)
x = (32 ± √268) / 6
x = 8.06 inches, which we ignore as this would mean we have no material left at all in the 14 inch dimension.
or
x = 2.60488... 2.60 inches
Vmax = 0.60(14 - 2(2.60))(18 - 2(2.60)) = 292.86478... = 292.86 inches³
Abby did 212 sit-ups in 8 minutes.Estimate the number of sit-ups she did in 1 minute
Step-by-step explanation:
212 sit-ups = 8 minutes
1 minutes = 212÷8
1 minutes = 26.5
_:65=9:13
please help mee
Answer:
45
Step-by-step explanation:
We can divide
65 divided by 13.
65 divided by 13 is 5.
Now we mutliply that 5 to the 9.
9 times 5 is 45.
The difference between 5 times a number and the number is 28 equation
Answer: I think the number would be 7
The ratio of girls to total students in math class is 13 to 20. Using this ratio, how many boys are in math class?
9514 1404 393
Answer:
girls : boys = 13 : 7
7 boys in the math class
Step-by-step explanation:
We assume that the number of boys is the total number of students less the number of girls. In ratio units, that is ...
girls : boys = girls : (total - girls) = 13 : (20 -13)
girls : boys = 13 : 7
There are 7 boys in the math class.
_____
Additional comment
We are only told the ratio, not any actual numbers. In order to answer the question, we must assume a total for the number of students in the class. It is convenient to assume that total is 20. There is nothing in the problem statement to indicate it is not some multiple of 20. The number of boys will be 7/20 of the total number of students in the math class.
If 6x-11y = 0, What will be the value of X:y?
Step-by-step explanation:
value i believe will be for
X= 11/6y
Y=6/11x
The length of a rectangle is three times
the width. The perimeter of the rectangle
is 24 inches. Write and solve an equation
to determine the width of the rectangle.
Answer: 3 inches
Step-by-step explanation:
Let x= width of rectangle
Let y=length of rectangle
y=3x, 2x+2y=24
Substitution:
2x+2(3x)=24
8x=24
x=3
Use rulers and compasses to draw a line which is perpendicular to line AB at point C
Answer:
Draw a line AB
Take a point C on AB
Fix the tip of compass at C and with a fix radius, cut AB on both sides of C
Mark those points D and E
Fix the tip of compass on D, and with the same radius, draw an arc above C
Do the same with E
Those two arcs will intersect at a point, mark the point F
Make a line passing through both C and F
Line CF is perpendicular to AB
Cindy paid $16.50 for 3 cups of iced milo and 2 fish burgers.Each fish burger cost $1.50 more than a cup of iced milo.How much money did Cindy pay for one cup of iced milo
Answer:
$2.7
Step-by-step explanation
16.5 = 3m+2b
b = 1.5+m
16.5=3m+2m+3
16.5=5m+3
13.5=5m
m=2.7
Find the value of x that makes line u and like v and parallel.
Answer:
6
Step-by-step explanation:
130 = 20x + 10
120 = 20x
6 = x
Answer:
6
Step-by-step explanation:
12x÷×5642579052
yjgrjhihdj
Which statement about this mapping is true?
The mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
The mapping represents y as a function of x, because each x-value is related to exactly one y-value.
The mapping does not represent y as a function of x, because there are more x-values than related y-values.
The mapping represents y as a function of x, because each y-value is related to exactly one x-value.
Answer:
The mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
Step-by-step explanation:
See it's not a function
Because In a function every c value has a unique y value.Here there is 4 values for one x .So it's a relationThe statement which is true about this mapping is the mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
WE have been given a domain figure.
We can see that the input values has more than one output values.
therefore, it cannot be a function Because in a function every input value has a unique y value.
Here there is 4 values for one x input.
x = 3
y = 2, 4, 5, 6
So it's a relation
Hence, the statement which is true about this mapping is the mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
Consider the parabola given by the equation: y = 1x^2 - 12x + 27
A) the vertex = (_,_)
B) the y-intercept is the point (0,_)
C) find the two values of x that corresponds to the x intercepts of the parabola and write them as a list separated by commas:
X= ___
Answer:
vertex: (6, -9)
y intercept: (0, 27)
X = 3, 9
Step-by-step explanation:
Finding Vertex (Part A)
Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.
y = 1x^2 - 12x + 27
a = 1
b= -12
c =27
-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)
When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.
y = 1(6)^2 - 12(6) + 27
y = 36 - 72 + 27 = -9 (y-coordinate of vertex)
--------------------------------------------------------------------------
Y- Intercept (Part B)
When looking for the y-intercept your "x" must always be 0.
Substitute 0 in every "x" in equation.
y = 1(0)^2 - 12(0) + 27
y = 27
y intercept: (0, 27)
------------------------------------------------------------------------------
X- Intercepts (Part C)
To find the values of "x" factor.
y = 1x^2 - 12x + 27
0 = 1x^2 - 12x + 27
0 = (x - 3 )(x - 9 )
(x-3) = 0 (x-9) = 0
x = 3 x = 9
Math 7 Review:Question 4
A car used 15 gallons of gasoline when driven 315 miles. Based on this
information, which expression should be used to determine the unit rate of
miles per gallon of gasoline?
Select one:
15 gallons
315 miles
O
315 miles x 15 gallons
O
315 miles
15 gallons
O
315 miles - 15 gallons
Answer: 315/15 gallons
Step-by-step explanation:
You have to divide 315 by 15
Frida owed
$75
on
her credit card. Then she charged
$21
more. What was her new
balance?
If there is 1/3 of quantity A for every 4/9 of quantity B, how much of quantity A is there for 2/5 of quantity B?
Answer:
The ratio equivalent to 5/3 is
For example, if we have a ratio 250 to 150, we can simplify it by dividing both numbers by 10 and then by 5 to get 5 to 3: 250 : 150 25 : 15 5:3 . The ratio 5 to 3 is the simplest form of the ratio 250 to 150, and all three ratios are equivalent.
Is 6 hours correct guys?
Answer:
yes it 6 hours
Step-by-step explanation:
Answer:
8 hours
Step-by-step explanation:
if the jacket is 32$, then we have to go beyond the graph, and make a function line.
so we can find the slope, how much money does she get per hour?
she gets 4$ per hour, meaning the equation is y=4x
y is the amount of money, x is the amount of hours.
substitute our desired amount of money, 32
32=4x
divide each side by 4 and you get 8
Convert the percent to a decimal
24 1/2%
Answer:
0.245
Step-by-step explanation:
24/1/2%=24.5%
=0.245
7.) She offered the Sharks 15% of her company for $30,000. How much is her
company worth? (Hint, Use a proportion to find what 100% of her company is
worth)
% 15
100%
$ 30,000
X
Answer:
100
Step-by-step explanation: 30/15=2 2*50=100
solve pls brainliest
Answer:
a) -10
b) +150
Answer: (a.) -50/5=-1 (b.) 5*30=+150
Step-by-step explanation:
(a.) each stock went down by -10x5=-50
(b.) 5x10=50. 50x3=150
half way I was doing this it got deleted
which is irrational?
-12/3 , 9.1293… , 10.55..?
-5/19 , checkmark81 , checkmark30
3.1415.. , -2pi , checkmark16/2
0.5 , - checkmark100 , 4.23
Answer:
3.1415.. , -2pi , checkmark16/2
Step-by-step explanation:
maybe this i dont really know im only here for the points since i need help with math too
If x-a is a factor of the difference of powers of equal odd exponent of the form x[tex]^{n}[/tex]-a[tex]^{n}[/tex] the signs of the second factor are:
A.
All negative
B.
All positive
C.
Alternating +, -, + ...
Answer:
Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Both the first and second signs are negative,
Let α and β are the roots of the ,
then, we know that the relationship between the zeroes and coefficients of quadratic equations:
Since the product of roots is positive.
So, the signs of the factors will be one positive and one negative.
Hence, Option 'D' is correct.
What is the equation of the line that passes through the point (2, 1) and has a
slope of 3/2?
Given :-
A line having a slope of 3/2 passes through (2,1) .To Find :-
The equation of the line .Answer :-
According to the question ,
m = 3/2 Point = (2,1)We know Point slope form of the line as ,
y - y¡ = m ( x - x ¡ )Substitute ,
y - 1 = 3/2 ( x - 2 ) y - 1 = 3/2x - 3/2*2y - 1 = 3/2x - 3 2( y -1) = 3/2x *2 - 3*22y - 2 = 3x - 6 3x - 2y -4 = 0Hence the equation of the line is 3x -2y-4=0 .
Answer:
Step-by-step explanation:
Use the form y = mx + b and plug in your known point
y = 3x/2 + b
1 = 3(2)/2 + b
1 = 3 + b
b = -2
y = 3x/2 - 2
we can use a plotting calculator to verify our result.
L = q(B - z) I have to solve for q and I’m not sure how
Answer:
q=L/(B - z)
Step-by-step explanation:
It's actually very easy just make q the subject of the formula by dividing both sides by (B - z)
Which number is larger, 4.7 or 4.7777 77777? Explain your answer.
Answer:
4.7777 is larger
Step-by-step explanation:
4.7777 can be approximately written as 4.8
4.8 > 4.7
4.7777 > 4.7
Look for a pattem to find the value of n
Answer:
It's 0.
Step-by-step explanation:
When you started counting from the left to the right. You will notice that the numbers get increased. At the 3 as a x-value, there would be 0.
This might surely help you ☺️❤️.
Keep studying and rest doubts leave on us. ❤️❤️
Lori is solving the equation 4x2 + 5x - 6 = 0 using the quadratic formula. Which
expression shows the correct numbers substituted into the quadratic formula to
solve?
Answer:
[tex] \frac{ - 5 + \sqrt{( {5})^{2} } - 4(4)( - 6) }{ 2(4)} [/tex]
You buy tomatoes at
$1.29 per pound and peppers at $3.99 per pound
to make salsa. Write an expression for the total
cost of the ingredients. Then find the total cost of
5 pounds of tomatoes and 2 pounds of peppers
Answer:
Expression:
1.20p + 3.99p
Now subsitutute p with the number of pounds given for both tomato and pepper.
1.20(5) + 3.99(2) = $13.98
Your parents gave you P1,000.00 to cover food
provisions for 3 days for your family. Make a meal
plan and search for the specific amount of the
food you will buy.
A book sold 33,100 copies in its first month of release. Suppose this represents 7.8% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.
Find the equation of a line that contains the points (-3,-1) and (-4, -7). Write the equation in slope-intercept form.
Answer:
y = 6x + 17
Step-by-step explanation:
First you can find the slope:
m = (y2-y1) / (x2-x1)
m = (-7 - (-1)) / (-4 - (-3))
m = (-7 + 1) / (-4 + 3)
m = -6 / -1
m = 6
_______
Then we can plug what we know into the point-slope form:
y - y1 = m (x - x1)
(you can pick either one of the points to plug in as (x1, y1))
y - (-7) = 6 (x - (-4))
y + 7 = 6 (x + 4)
_______
Now we can change the point-slope form into slope-intercept form by solving for y:
y + 7 = 6 (x + 4)
y + 7 = 6x + 24
y = 6x + 17