Answer:505 meters
Step-by-step explanation: 550-45=505
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
Answer:
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
3x2 + 15x = 252
Is it possible for the width of the tray to be 7.5 centimeters?
no it is too large
Step-by-step explanation:
An equation is formed when two equal expressions. The equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the width of the rectangular prism die be represented by x.
Given that the length of the tray should be five centimeters longer than its width. Therefore, the length and the width of the prism can be written as,
Width = x
Length = x + 5
Further, it is given that the volume of die is 252 cubic centimeters in order for the dice to roll properly. Also, the height of the prism is 3 centimeters. Therefore, the Volume can be written as,
Volume = Length × Width × Height
252 = (x + 5) × x × 3
252 = 3x(x+5)
252 = 3x² + 15x
3x² + 15x - 252 = 0
Hence, the equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.
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the triangles are congruent by
...........
Step-by-step explanation:
ASA, AAS and SAS
Quadrilateral ABCD is shown. Two students each perform a different reflection on the original figure.
Use the drop-down menus to give the coordinates of point B' after each reflection.
Answer:
Pauline reflected the original figure over the x-axis:
The coordinates of point B will be (4,3)
Carl reflected the original figure over the y-axis:
The coordinate of points B will be (-4,-3)
When Pauline reflect the original figure over the x-axis, the coordinate of point B' will be (-2, -4). When Carl reflect the original figure over the y-axis, the coordinate of point B' will be (2, 4).
What is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Mathematics, a reflection over the x-axis is given by this transformation rule:
(x, y) → (x, -y)
Point B = (4, -3) → Point B' = (4, 3)
In Geometry, a reflection over the y-axis of a graph is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, the coordinates of point B' after a reflection over the y-axis is as follows:
Point B = (4, -3) → Point B' = (-4, -3)
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Jose spent $ 2.00 for 20 pieces gum and joe spent $1.50 for 10 pieces of gum who go the better deal ?
Answer:
jose
Step-by-step explanation:
2.00 ÷ 20 = 10 c
1.50 ÷ 10 = 15 c
Answer:
joe 's is better
Step-by-step explanation:
may be iam not sure
best of luck
Graph the line with the equation y=-x-5y=−x−5.
Answer:
Just getting points i hope u find the answer tho :))
Step-by-step explanation:
2) Compare the following functions to determine which has the greater rate of change. Function 1: y = 2x + 6 Function 2: 0 4 -2 2 Y ] == a
You did not clearly mention the second function. So, I am assuming you meant to say that the second function has the table values such as:
x y
0 4
-2 2
So, I am solving the question based on this information table of the 2nd function, which anyways will clear your concept.
Answer:
We conclude that the rate of change of a function '1' is greater than the rate of change of function '2'.
Step-by-step explanation:
Given the function 1
[tex]y = 2x + 6[/tex]
Comparing the function with the slope-intercept form of the line equation of a linear function
[tex]y=mx+b[/tex]where m is the rate of change or slope of the line
so
[tex]y = 2x + 6[/tex]
rate of change = m = 2
Now, given the function 2
x y
0 4
-2 2
Taking the slope of the two points in the table
(0 4), (-2, 2)
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(-2,\:2\right)[/tex]
[tex]m=\frac{2-4}{-2-0}[/tex]
[tex]m=1[/tex]
So, the rate of change or slope of the function 2 is: m = 1
Hence, we observe that:
Rate of change of function 1 = m = 2Rate of change of function 2 = m = 1As the rate of change of a function '1' is greater than the rate of change of function 2.
i.e.
m = 2 > m = 1
Therefore, we conclude that the rate of change of a function '1' is greater than the rate of change of function '2'.
Can u pls find the center of dilation for this point!!
Answer:
Q² (R³,S)
Step-by-step explanation:
HHHHHHHelp You like to watch movies at the local cinema. You have two payment options. Option A is to buy a discount card, which will cost you $160, and then $10 per movie. Option B is to pay $50 per movie. After how many movies will the total costs of the two options be the same
Answer:
After 4 movies it will be equal
Step-by-step explanation:
10x + 160 = 50x
160 = 40x
4 = x
Check:
10x + 160 =
10(4) + 160 =
40 + 160 = 200
50x =
50 x 4 = 200
200 = 200
can someone help me really quickly and have a explainton for as well
[tex] |c + 4| = 6[/tex]
If b(x) = negative2(xminus50), what is the value of b(20)?
Answer:
b(20) = 60
Step-by-step explanation:
Here, given that ;
b(x) = -2(x-50)
we want to find the value of b(20)
what we need to do is to simply substitute x for 20
That will be:
b(20) = -2(20-50)
b(20) = -2(-30)
b(20) = 60
If c=48y+.99n what is y?
PLEASE HELP ILL GIVE YOU 100 POINTS IF YOU DO IT RIGHT !!!!!
translate each sentence into an equation.
1. Four more than twice a number is 8.
2. Three more than four times a number is 15.
3. Five less than twice a number is 7.
4. One less than four times a number is 11.
5. Seven more than the quotient of a number and 2 is 10.
6. Six less than six times a number is 12.
7. Five less than the quotient of a number and 3 is -7.
8. Seven more than twice a number is 1.
Define a variable. Then write and solve an equation to find each
number.
9. The difference between 5 times a number and 3 is 12.
10. Nine more than three times a number is -6.
11. Nine more than the quotient of a number and 4 is 12.
12. Four less than the quotient of a number and 3 is -10.
13. Nine less than six times a number is -15.
14. Three less than the quotient of a number and 6 is 1.
15. Eight more than the quotient of a number and 5 is 3.
16. The difference between twice a number and 11 is -23.
Answer:
1. 4+(2x2)
2. 3+(3x4)
3. (6x2)-5
4. (3x4)-1
5. 7+(6/2)
6. (6x3)-6
7. (6/3)-5
8. 7+(-3x2)
9. (5x3)-3
10. 9+(-5x3)
11. 9+(12/4)
12. (-2x3)-4
13. (-1x6)-9
Step-by-step explanation:
HELP PLEASEE THIS IS MY LAST QUESTION ILL MARK BRAINLIEST
Answer:
F. y = 9.5x + 22.5
Step-by-step explanation:
let the number of shirts be x
For every shirt he pays $9.50 and $22.5 is the additional price
494 divided by 14 is
Answer:
35.28571429
or rounded to the hundreths is 35.29
Step-by-step explanation:
Answer:
35.2857142857
Step-by-step explanation:
g(x) = 5x - 12. What is g(8)?
Your answer
Answer:
28
Step-by-step explanation:
Replace x for 8 in the equation and solve it normally
YO I NEED HELP ON THIS I SUCK AT MATH!!!!!!!
Answer:
12$ per lawn mowed
Step-by-step explanation:
Write an inequality to end up with x < 15
Answer:
14<15
Step-by-step explanation:
Any number less than 15 can work.
Write an equation in point-slope form of the line that passes through the point (7,-5) with slope -1/7.
y-|_| = |_| (x-|_|
Sorry, these are boxes like fill in the blanks |_|
Answer:
y− y 1 = m ∗ ( x − x 1 )
Step-by-step explanation:
As ____ increases, ___ tends to increase/decrease
Answer:
what is the context? i dont understand what is increasing/ decreasing pls elaborate more!!
Step-by-step explanation:
Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone call she made. Which conclusion is best supported by the scatterplot? As the length of a call increases, the cost of the call remains the same. As the length of a call increases, the cost of the call increases. There is no relationship between the length of a call and the cost of a call. As the length of a call increases, the cost of the call decreases.
Answer:
There is no relationship between the length of a call and the cost of a call.
Step-by-step explanation:
If we consider the scatter plot, we will discover that there is no identifiable relationship between the cost of calls and the length of calls.
We can't see any increases or decrease of call cost with call length from the plot. Hence, there is no relationship between the length of a call and the cost of a call.
Suppose y varies directly as x. If y = 150 when x = 3, find y when x = 5.
(PLEASE HELP ME)
Which section of the function is decreasing?
A
B
C
D
Answer:
section d
Step-by-step explanation:
Have a great day
Answer:
A is at rest B is accelerating or increase Cis at test Cto D is decreasing
Expand the brackets and simplify.
(0.5)(6x – 2) – 3(x – 1)
Answer:
2
Step-by-step explanation:
(0.5)(6x-2)-3(x-1) = (3x-1)-(3x-3)
= 3x-1-3x+3
= 2
1. Explain why the sine law cannot be used to find the length of the third side of a triangle when
the known angle is contained between the two known sides
Answer:
The law of Sines is used to determine a missing side or angle measurement
Step-by-step explanation:
When saying Sine Law, I am pretty sure you mean the Law of Sines.
This is the equation
a/sine a = b/sine b
To use the Law of Sines you need 2 angle measurements and 1 side length, or 2 side lengths and 1 angle measurements. Law of Sines is used to find the missing angle or side. Not to find the third side.
To find the length of the third side you would use pythagorean theorem.
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Answer:
hruehufheuhuirfeuiwhfiueh
Step-by-step explanation:
nfjdnsjfndjfnjrhurewkjl jfe;wajifehji frejkafn
Answer:
I believe it is D.
Step-by-step explanation:
In the problem it says that g is greater than or equal to 5. This means that the circle or dot on the number five will be closed and the arrow will be pointing the right, where the values greater than 5 are located. The closed circle means that g can be equal to five, or it could be greater. A open circle means that the variable cannot be the value in which it is placed on.
Please explain in detail with a proper answer.
A pair of dice is rolled. If you know one of the dies shows a 5, what is the probabiility that the sum is 8.
Answer:
5/36
Step-by-step explanation:
So a pair of dice is rolled. 2 dices. A dice has 6 numbers (1,2,3,4,5,6).
Now draw a sample space.
1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
It's asking for SUM, so we plus. Thats why you see this.
So look for all the 8's in the sample space. Theres one in (6,2), (5,3), (4,4), (3,5) and (2,6). Thats 5. We divide that with the total. The total is 36 because there are 36 possible values. so 5/36
Indicate the formula for the following conditions.
P^c(n,r) = ?
Answer:
The answer is C(n,r) = n!/[(n-r)!r!]
Plz mark brainliest
Answer:
I think it is : n!
Step-by-step explanation:
Which is an example of quantitative data?
A the number of textbooks in a classroom
B. the condition of the textbooks in a classroom
C. the ID numbers of the textbooks in a classroom
D. the colors of the textbooks in a classroom
Answer:
A. the number of textbooks in a classroom
Step-by-step explanation:
quantitative data is information about quantities; that is, information that can be measured and written down with numbers.
can some one please help me
Answer: Number one is C I believe
Step-by-step explanation: 4x - 5 =7
4x -5 + 5=7+5
4x=12
4x-4=12 divided by 4
x= 3
Answer:
A and D
Step-by-step explanation:
When you have an equation that has an x on one side with other things you do the opposite of the thing on the same side as the x. You would add 5 to 17 then you would divide by 4 to seperate the four from the x.
In functions one input has only one output. Since 3 has two outputs it is not a function.
Mrs. Tart takes a survey in class. She discovers 60% of her students prefer using pens over pencils in class.
If 12 students in Mrs. Tart’s class prefer to use pens, how many total students are in Mrs. Tart’s class?
Answer:
20 students
Step-by-step explanation:
Answer:20 students
Step-by-step explanation: