Answer:
V = 108 cm^3
the volume of the box is 108 cm^3
Corrected question;
Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make the box. What is the volume of the box?
Step-by-step explanation:
The volume of a box V is;
V = length × breadth × height
V = l×b×h ......1
Length l of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of length 15 cm is;
l = 15 - 2(3) = 9 cm
Breadth b of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of breadth 10 cm is;
b = 10 - 2(3) = 4 cm
Height of the box is the length of the squares cut;
h = 3 cm
Substituting the values into equation 1;
V = 9 × 4 × 3 cm^3
V = 108 cm^3
the volume of the box is 108 cm^3
Draw the line with equation y=-12x+1
Answer:
See below
Step-by-step explanation:
I attached a picture of the graph below. It has a slope of -1/2 and a y intercept of 1. Hope this helps!
which expression is equivalent
HELP ME PLEASE
Answer:
the 4th option is correct
Step-by-step explanation:
[tex]xy^{2/9}[/tex] Original expression
[tex]x(y^{2})^{1/9}[/tex] Split up the exponent
[tex]x(\sqrt[9]{y^{2} } )[/tex] The 1/9 of an expression is the same thing is the 9th root of the expression.
Which of the following is most likely the next step in the series?
Answer:
B
Step-by-step explanation:
It adds one row on the bottom and one row on the right
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3
Step-by-step explanation:
Or 3/1
Cheers! :)
PS: GOT AN QUESTION WORTH 10 POINTS ANYONE INTERESTED?
Please help! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
Suppose p and q are inversely proportional. If p=25 when q=6, find the value of p when q=15 Please help me!!!
Answer:
p=10 when q=15
Step-by-step explanation:
p and q are inversely proportional
It means
p=k/q
p=25 when q=6
p=k/q
25=k/6
k=25÷1/6
k=25×6/1
=150
k=150
Find p when q=15
p=k/q
p=150/15
=10
p=10
What’s the area of this triangle??
Answer:
6
Step-by-step explanation:
In a right triangle the legs are base and height
area = (1/2) base × height = (1/2) 3 (4) = 6
Answer: 6 square units
Please help! Correct answer only!
Cooper and Alice made a list of 7 psychology experiments they want to try at home. Each experiment tackles one specific psychology topic. 5 of the experiments involve cats.
If Cooper and Alice randomly choose 4 experiments to try over the summer, what is the probability that all of them involve cats?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability = 0.2603
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Experiment Involving Cats - 5 / 7,\\Probability That 4 Chosen Experiments Are All Involving Cats - ( 5 / 7 )^4,\\\\5 / 7 * 5 / 7 * 5 / 7 * 5 / 7 =\\\\Conclusion; Probability - 625 / 2401[/tex]
Solution; Probability = ( About ) 0.2603
Someone help me with this like right now like right now
Answer:
C
Step-by-step explanation:
M = K
N = L
M + K + N + L = 360
Answer:
C
Step-by-step explanation:
???? Answer please anyone
Answer:
The answer is 4 3/4
Given the equations below what is the value of ab?
10b-9a=6
b-a=1
Answer:
12
Step-by-step explanation:
Adding a to both sides of the second equation we get b = a+1
Substituting this in we get
10a + 10 - 9a=6
a +10 =6
a=-4
Putting this back in to the second one we get b+4=1
B=-3
-4*-3=12
The value of ab = 36.
We have the following equations -
10b - 9a = 6
b - a = 1
We have to determine the value of ab.
If [tex]a^{2} -b^{2} = \pi[/tex] and [tex]a + b = 4\pi[/tex] then the value of (a - b) will be ?We have - [tex]a^{2} -b^{2} = \pi[/tex]
(a + b) (a - b) = [tex]\pi[/tex]
a - b = [tex]$\frac{\pi }{4\pi }[/tex] = 1/4
According to question, we have -
10b - 9a = 6
b - a = 1
Now -
b - a = 1
a = b
Therefore -
10b - 9a = 6
10b - 9b = 6
b = 6 = a
ab = 6 x 6 = 36
Hence, the value of ab = 36.
To solve more questions on finding unknowns, visit the link below -
https://brainly.com/question/14728313
#SPJ2
Anyone who can do this will be goated. B is the midpoint of segment AC Find the value of x. M is the midpoint of segment VW. Find the value of X
Answer:
The answer the to first image is X=2. The answer to the second image is X=4.
Step-by-step explanation:
Which of the following is a correct representation of the polynomial F(x)=x^4-5x^2+4 as a product of linear factors
Answer:
C
Step-by-step explanation:
how to find the correct one?
just see on the x² constant number. it's -5 so
from ABCD the only option give -5 is C
A. (-2)(-2) + (-1)(-1) = 5
B. (-2)(-2) + (1)(1) = 5
C. (2)(-2) + (-1)(1) = -5
D. (-2)(2) + (-1)(-1) = -3
Solve 3x - 3 =27 - 2x pls answer
Answer:
[tex]\fbox{\begin{minipage}{3em}x = 6\end{minipage}}[/tex]
Step-by-step explanation:
Given:
Equation: [tex]3x - 3 = 27 - 2x[/tex]
Solve for:
[tex]x[/tex]
Solution:
Step 1: Select relevant approach:
Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from + to - or - to +), then calculate [tex]x[/tex]
Step 2: Perform the calculation:
[tex]3x -3 = 27 - 2x[/tex]
Moving components:
<=> [tex]3x + 2x = 27 + 3[/tex]
Adding up components:
<=> [tex]5x = 30[/tex]
Dividing both sides by 5 (coefficient of component containing [tex]x[/tex]:
<=> [tex]\frac{5}{5} x = \frac{30}{5}[/tex]
Simplifying to work out [tex]x[/tex]:
<=>[tex]x = 6[/tex]
Hope this helps!
:)
Answer:
x = 6
Step-by-step explanation:
3x - 3= 27 - 2x
First we put all the x terms to on side, making it 3x + 2x - 3= 27.
Remeber that when we move a term to the other side of the equals sign (=), we change its sign to be the opposite of what it currently is.
Then, we move all the numberics to the other side, so we derieve 3x + 2x = 27 +3. Again, the sign changes when we move it across.
What is left to do is add up the quantities. So 3x + 2x = 5x and 27 +3 = 30.
We are left with 5x = 30. If 5 x's is 30, how much is one? Sinply divide it to get the answer of 30 / 5 which is six!
To make sure the answer is correct substituite 6 in the equation as x and see if its accurate: 3(6) -3 = 7 - 2 (6). And it is!
So x is equal to six.
Frank decided to lease a $20,000 car for three years instead of buying the car and financing it with a loan. At the end of three
years, the car was worth $11,000. How much did Frank receive when he returned the car to the dealership?
A. He received $0 and will have to cover the cost of any damages that have been done to the car.
B. He received $11,000, less the cost of any damages that have been done to the car.
C. He received whatever amount of money the dealer was able to get selling the car as a used car.
D. He received half of what the dealer got from the sale of the used car.
Answer:
a
Step-by-step explanation:
the original price of a computer is $935.00 if the price of the computer is increased by 7% what is the new price
Answer:
$1000.45 is the new price.
Step-by-step explanation:
The fastest way in which to answer this question is to multiply $935.00 by 1.07. That ".07" comes from "7%."
1.07($935.00) = $1000.45 is the new price.
1. Which point represents a value that is less
than -1 and greater than -5?
What is the average rate of change from
x = 10 to x = 15?
Answer:
✔ -2
Step-by-step explanation:
correct
Answer:
-2 is your answer
Step-by-step explanation:
Part 2. identify the x intercepts for
y = 4(x-5)^2+8
Answer:
No solution
Step-by-step explanation:
This function places the parabola above the x axis, so there are no x intercepts
Answer:
B - No solution
Step-by-step explanation:
This equation does not have a x-intercept, making this an equation with no solution.
Billy invests £800 for 5 years in savings account By the end of the years he has received a total of £96 simple interest Work out the annual rate of simple interest
Answer: 2.4%
Step-by-step explanation:
SI = prt / 100
96 = ( 800 x r x 5) / 100
96 = 40r
r = 96 / 40 = 2.4%
What is 1/7 x 140 ( Multiplying fractions by whole numbers using tape diagrams)
Answer:
20
Step-by-step explanation:
20 is your answer
A business man mixed high quality sugar costing 10 shillings with low quality sugar costing 8 shillings per kg in the ratio 3:5 by which he sold the mixture at 9.80 shillings per kg . What was his percentage profit?
Answer:
His percentage profit is 12%
Step-by-step explanation:
Here, we want to calculate the percentage profit made by the business man.
Per kg of what he is selling, he has 3 parts high quality sugar and 5 parts low quality sugar.
Now let’s see how much these costs
For the high quality sugar, it’s total kg mixed per kg will be 3/(3+5) = 3/8
Since high quality sugar costs 10 shillings per kg, 3/8 of a kg will cost 3/8 * 10 = 30/8 = 3.75 shillings
For the low quality, its part will be 5/(3 + 5) = 5/8
since low quality costs 8 shillings per kg, 5/8 of a kg will cost 5/8 * 8 = 5 shillings
Total cost price = 3.75 + 5 = 8.75 shillings
% profit = (selling price - cost price)/cost price * 100%
selling price here is 9.8 shillings per kg
while cost price is 8.75 shillings per kg
% profit = (9.8-8.75)/8.75 * 100%
= 1.05/8.75 * 100% = 0.12 * 100% = 12%
Which of the following is a representation of a function?
A.8x^2+4x
B. 4x+3=y^2
C. 3y= 5x^2+y
D. x = y2
Answer:
A
Step-by-step explanation:
Suppose f(x) = x². Find the graph of f(x - 2)
Click on the correct answer.
graph 1
graph 2
graph 3
graph 4
Answer:
the answer is graph 1
A geometric sequence has the explicit formula an = (-2) x 3^n- 1. What is the 4th term?
Answer:
-54
Step-by-step explanation:
Please write this sequence in the following form: a(n) = (-2)*3^(n- 1)
Then a(1) = -2*3^0 = -2
a(2) = -2*3^(2 - 1) = -6
a(3) = -2*3^(3 - 1) = -2*9 = -18
a(4) = -2*3^(4-1) = -2*27 = -54
Please help I’m stuck I would really appreciate it if you could help me in geometry <3
c will prove that b is parallel
Help please picture attached !!! Factoring expression
Answer:
(x+y)^3
Step-by-step explanation:
125 is the third power of five and 216 is the third power of 6
so we can rewrite the expression as (x+y)^3
Find the range of values for which
Answer:
I don't understand the question
At a clothing store, 15% of the dresses are blue. Which decimal is equivalent to 15%?
Answer:
0.15
Step-by-step explanation:
15% = 0.15
__________________________________
Solution,
15%
=15/100
=0.15
So, 0.15 decimal is equivalent to 15%
Hope this helps
Good luck on your assignment
_______________________________
Presenting a graph with a skewed scale would be a: A measurement error. B sampling error. C interpretation error. D data collection error. PLEASEEE HELPPP!!!!!!!!!!!
Answer:
C. interpretation error
Step-by-step explanation:
Interpretation error is how data is interpreted (i.e. wrong meaning). For instance, when data results are presented in a wrong or misleading way.
Answer:
The answer is C.
Step-by-step explanation:
it just is.