The dimensions of the box below are reduced by half. What is the constant of proportionality between the volume of the new box and the volume of the original box? Alternative text A.1/2 B.1/4 C.1/8 D.1/16
Answers
Answer:
C. 1/8
Step-by-step explanation:
Dimensions of the Original Box:
Length = 40 inches
Width = 20 inches
Height = 8 inches
Volume of original box = L*W*H = 40*20*8 = 6,400 in³
Dimensions of the New Box (½ of the dimensions of the original box):
Length = ½*40 = 20 in
Width = ½*20 = 10 in
Height = ½*8 = 4 in
Volume of original box = L*W*H = 20*10*4 = 800 in³
Constant of proportionality between the volume of the new box and the volume of the original box = [tex] \frac{800}{6,400} = \frac{1}{8} [/tex]
Related Questions
Write the equation of the line that passes through the given points. (-2,0) and (0, -1)
Answers
Answer:
m= 1/2 y = 1/2x + b
Step-by-step explanation:
A line passes through the points (-5, 2) and (10, -1). Which is the equation of the line?
Answers
Answer:
y=-1/5x+1
Step-by-step explanation
-1-2/10+5
-3/15
-1/5
Plug it in:
=-1=-1/5(10)+b
1=b
x - 4y = -1
3x + 5y = 31
Answers
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Answer:
(x, y) = (7, 2)
Step-by-step explanation:
We assume you want the solution to this system of equations.
Since you're seeking help from "technology", it is appropriate to use the technology of a graphing calculator to find the solution. The attachment shows it to be (x, y) = (7, 2).
__
The coefficient of x in the first equation is 1, so it is convenient to use that equation to write an expression for x:
x = 4y -1 . . . . . add 4y to the equation
3(4y -1) +5y = 31 . . . . substitute for x in the second equation.
17y = 34 . . . . . . . . . . . simplify, add 3
y = 2 . . . . . . . . divide by 17
x = 4(2) -1 = 7 . . . . use the equation above to find x
The solution is (x, y) = (7, 2).
Plzzz help ⚠️DONT HELP IF DONT KNOW⚠️
Answers
Answer: 5
Step-by-step explanation:
10/5+9/3 then 2+3=5
Answer:
B
Step-by-step explanation:
Parenthesis (none)
Exponents (none)
Multiplication (none)
Division (none)
Addition (YES finally!!) You need to add 2 and 3 first for the first fraction and 6 and 3 for the second one. Then you would have 10/5 and 9/3. 10/5=2 and 9/3= 3. Then you add 2 and 3 to get 5.
Subtraction (none)
I hope this helps!!
A class of x students are going on a treasure hunt and need to be separated into four groups. Which expression could be used to determine the total number of students in each group?
Answers
Answer:
X/4
Step-by-step explanation:
The number of students (X) would have to be divided by 4 (the number of groups), meaning the number of students in each group must be:
the total number of students (X)÷ the number of groups (4)
Peyton wanted to buy a new game. The game costs $65.00 before sales tax. If the sales tax is 8%, how much will she pay for the game?
Answers
Answer:
$70.20
Step-by-step explanation:
8% = .08
$65 times the tax rate of .08 = $5.20
$65 + $5.20 = $70.20
!!Help!!
Classify the following triangle. Check all that apply.
Answers
Answer:
A and C
Step-by-step explanation:
There is no equal sides making it a scalene and it has a right angle making it a right triangle
Please, I’ll give brainiest answer if you give the right one. I need his one in like 10 minutes please help.
Answers
Answer:
3rd one and 4 th
Step-by-step explanation: just look at them its clearly easy
Graph y=x+7 by plotting the y-intercept at (0, 7). Use the slope of 1 to count up 1 space and to the right 1 space to plot the second point. Graph y=3x+5 by plotting the y-intercept at (0, 5). Use the slope of 3 to count up 3 spaces and to the right 1 space to plot the second point. Question 2 What is the solution of the system?
Answers
Answer:
A is the easiest way to graph the equation
Step-by-step explanation:
What is the distance between -6 and -1 3/5
Answers
Answer:
- 5
Step-by-step explanation:
because you jump the number line from 1 6 to - 1 count the spaces and get - 5
A roller coaster begins at 90 feet above ground level. Then it descends 105 feet. Find the height of the coaster after the first descent
Answers
Answer:
-15 feet below ground.
Step-by-step explanation:
subtract 105 from 90
Answer:
-15
Step-by-step explanation:
90-105=-15
Nate has $30.50. He wants to buy his dog a sweater that costs $15, a toy that costs $3.79, and a leash that costs $14.79. How much more money does he need?
Answers
I’m giving BRAIN LIST
Answers
Answer:
SKT is the triangle, by the SAS theorem
Step-by-step explanation:
2 sides are congruent, and the angle in the middle are congruent because of the vertical angles theorem.
Which expression is equivalent to 4(x + 3)?
A. 4x + 3
B. 4x + 12
C. x + 12
D. 4x − 3
Answers
Answer:
B
Step-by-step explanation:
hope this hlps
Answer:
I think the answer is b
Step-by-step explanation:
[tex]4 \times x = 4x[/tex]
[tex]4 \times 3 = 12[/tex]
Exit Ticket Write the reciprocal of the following numbers. 7/10, 1/2, 5
Answers
Answer:
1 ) 10/72 ) 2/13 ) 1/5Remember This for later:
The reciprocal of a fraction
is when you take the denominator
and numerator, then sWiTcH iT.
Original - 7/10 , 1/2 , 5/1
sWiTcHeD - 10/7 , 2/1 , 1/5
Hope this helps! <3
True or False: Certain irrational numbers can be written as fractions
Answers
Answer:
False
Step-by-step explanation:
It can be written as a decimal but not a fraction cause it will always terminate or repeat
Write equation in slope intercept form a. Y=mx+b
Write equation in standard form b. ax+by=c
Answers
Answer:
A. y = -3x - 2
B. 3x + y = -2
Can someone help me it’s due today . I will gratefully appreciate your help !
Answers
Answer:
40
Step-by-step explanation:
The angle marked x is an exterior angle of the polygon.
The sum of the measures of the exterior angles of a polygon, one exterior angle per vertex, is 360 deg.
In a regular polygon, all exterior angles are congruent. The number of exterior angles, one per vertex, is the same as the number of sides.
We count the number of sides of this polygon and see it has 9 sides.
Since it is a regular polygon, he measure of each exterior angle is 360 divided by the number of sides.
x = 360 deg/9 = 40 deg
Answer:
40 hope this helps
Step-by-step explanation:
Can someone plz help me asap! Will give brainliest and 30 points if you have a good answer. Thank you.
Given the function h(x) = 4x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points) (10 points)
Answers
Answer:
Part A. 4/1 ( 4 over 1 ) and -4
Part B. it is -1 times greater. It is -1 times greater because the values are higher.
Step-by-step explanation:
Average rate of change formula is change in f(x) values over corresponding change in x values
Part A.
first make a table.
X - 0, 1
f(x) - 0, 4
To figure out the y f(x) values you plug the first x value into x in the function h(x)=4x like h(x)=4(0) and you get 0...and plug in the next x value into the function h(x)=4x like h(x)=4(1) and you get 4.
You now have the coordinates (0,0) and (1,4) and now to find the average rate of change you put 4 - 0 / 1 - 0 ( 4 - 0 over 1 - 0) and solve so 4-0=4 and 1-0=1 the average rate of change for this is 4/1.
For B you do the same thing.
Hope this helped!
Answer
4.0/5
4
Brainly User
Answer:
Part A. 4/1 ( 4 over 1 ) and -4
Part B. it is -1 times greater. It is -1 times greater because the values are higher.
Step-by-step explanation:
Average rate of change formula is change in f(x) values over corresponding change in x values
Part A.
first make a table.
X - 0, 1
f(x) - 0, 4
To figure out the y f(x) values you plug the first x value into x in the function h(x)=4x like h(x)=4(0) and you get 0...and plug in the next x value into the function h(x)=4x like h(x)=4(1) and you get 4.
You now have the coordinates (0,0) and (1,4) and now to find the average rate of change you put 4 - 0 / 1 - 0 ( 4 - 0 over 1 - 0) and solve so 4-0=4 and 1-0=1 the average rate of change for this is 4/1.
For B you do the same thing.
Hope this helped!
Please help :( will mark brainliest !
The function f (x) = x2 with a vertical stretch of 8.5, a translation left 4 units and a translation 2 units down. Write the function g(x) that represents the transformations.
Answers
Answer:
g(x)=8.5([tex]x^{2}[/tex]+4)
Step-by-step explanation:
vertical stretch means to put that number in front like this:
8.5(x^2)
Then 4 units to the left means it will look like this. (Translation to the left is plus in the parentheses and for the right it's negative in the parentheses.)
8.5(x^2+4)
So you full equation is:
g(x)=8.5(x^2+4)
Help me solve this problem please
Answers
Answer:
8
Step-by-step explanation:
4 + 2³- |-4|
~Take the absolute value of -4
4 + 2³- 4
~Simplify the exponent
4 + 8 - 4
~Add
12 - 4
~Subtract
8
Best of Luck!
Answer:
8
Step-by-step explanation:
Do the cube of 2, which equals 8
Add 8 to 4 and you get 12
Absolute value of -4 is 4
Subtract 4 from 12 and you get 8
8) A furniture store sells a sofa for $50 more than twice the amount it costs the store. If the store sells the sofa for $750,
how much did the store pay for the sofa?
ALA
Answers
Answer:
700
Step-by-step explanation:
they got it for 50 and they want 759 so the answer is 700
PLEASE HELP!!!
Determine which postulate or theorem can be used to prove that
LMN=NOL.
A. SSS
B. AAS
C. SAS
D. ASA
Answers
Answer:
The postulate or theorem that can be used to prove that LMN = NOL would be C. SAS
(a) 3 hours 30 minutes into seconds.
Answers
Answer:
12,600 seconds
Step-by-step explanation:
There are 12,600 seconds in 3 hours and 30 minutes.
In 2012, the estimated population
of California was about 4 x 10'. The
estimated population of Alaska was about
700,000. About how many times greater
was the estimated population of California
than the estimated population of Alaska
in 2012?
A. 30
B. 60
C. 75
D. 100
Answers
Answer:A:30
Step-by-step explanation:
What is the length of said JL
Answers
Answer:
13
Step-by-step explanation:
pythagorean theorem: a^2 + b^2 = c^2
5^2 + 12^2 = c^2
169=c^2
13=c
it's also special right triangle 5-12-13 (it's just something u remember)
Answer:
JL = 13
Step-by-step explanation:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
√169 = c
13 = c
JL = 13
Determine the unknown angle measure 8th grade
Answers
P= 70
(all triangles add up to 180, subtract those numbers from 180 to get your answers)
9514 1404 393
Answer:
a. m∠C = 44°
b. m∠P = 60°
Step-by-step explanation:
In each case, the missing angle brings the sum of angles to 180°. So, its value is the difference between 180° and the sum of the given angles.
a. m∠C = 180° -90° -46°
m∠C = 44°
__
b. m∠P = 180° -110° -10°
m∠P = 60°
10 boys and 15 girls what in the ratio
Answers
Answer:
2:3
Step-by-step explanation:
simplified by 5 10÷5=2 and we'll you know the rest
Answer: 10:15?
i'm sorry if it's wrong, math isn't my best subject.
Step-by-step explanation:
THIRTY POINTS
Drag each pair of equations to show if the system has no solutions, one solution, or infinitely many solutions.
Answers
1. infinitely many solutions
2. one solution
3. no solution
4. no solution (this one was a little tricky but i’m like 99% sure it’s right so sorry if it isn’t)
5. one solution
hope this helped!! pls give said amount of points and if u can, mark brainliest!!
Answer:
Step-by-step explanation:
Dan wants to paint the ceiling of his restaurant. The ceiling is in the shape of a square. Its side lengths are 24 feet. Suppose each can of paint will cover 192 square feet. How many cans will he need to paint the ceiling?
Answers
Answer:
He will need exactly 3 cans of paint.
Step-by-step explanation:
You multiply 24 by 24, and you get 576, then you divide 576 by 192 and you get exactly 3.
Hope this helps!
Answer:
yyyyyyyyeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet
Step-by-step explanation:
