The volume of a rectangular prism is found by multiplying its length, width, and height.
[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=l\times w\times h[/tex]
[tex]\tt V=l\times w\times h[/tex][tex]\tt V=8m\times 4.5m \times 6m[/tex][tex]\tt V={216m^3}[/tex]Therefore, the volume of a rectangular prism is 216m³
Another formula can be used if the area of the base (B) is given.
[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=B\times h[/tex]
[tex] \tt V = B \times h[/tex][tex]\tt V = 36m^2\times 6m[/tex][tex] \tt V = {216m^3}[/tex]Therefore, the volume of a rectangular prism is 216m³
#CarryOnLearningSupplementary solving for x
Answer:
7x-5=72( vertically opposite angle are equal)
7x=72-5
x=67/7
x=9.57
hope it helps.
Find the perimeter of the shape
Answer:
54ft
Step-by-step explanation:
15- 8 = 7ft
12-5 = 7ft
7+7+12+15+5+8 = 54 ft
Answer:
15+12+8+7+7+5=54
Step-by-step explanation:
54
why 54?
there are two missing distances
so we see the two heights
12-5=7
and now the two lengths
15-8=7
now we got the missing lengths, and we add them
15+12+8+7+7+5=54
54 is the answer
Use the distributive property to simplify this expression for a parentheses 4(12 + 5)
Answer:
68
Step-by-step explanation:
Please help me faster if know what the answer please please?!???
Answer:
23
Step-by-step explanation:
First of all we find the total number of students:
4+6+2+2+3+4+6+3=30
Then we find the amount of freshmen’s
4+3=7
Now we find the Fraction which represents the freshmen to all ratio:
[tex]\frac{7}{30}[/tex]
which is equal to:
0.2333...
Which can be converted into a percentage by multiplying it by 100
0.2333...×100=23.333...
Which is rounded down as the third digit, the 3, gets rounded down
so the answer is 23
y log c - 8 log r
Condense the logarithm.
Answer:
log[(c^y)/(r^8)] this is m your answer
A 3-gallon container of disinfectant costs $36.24. What is the price per quart?
Answer:
10.74666666666667 per quart
Step-by-step explanation3 divided 36.24
please please help me Please help for my math rpoject!!!!!
a. The table for the relation is given by the image shown at the end of the answer.
b. The domain and range of the relation are given as follows:
Domain: {0, 1, 2, 3, 4, ...}.Range: {0, 0.75, 1.5, 2.25, ...}.c. The relation is a function, as it value of the input is mapped to a single value of the output.
How to represent the situation?The ratio between the total cost and the number of vehicles is obtained as follows:
k = 3.75/5 = 3/4 = ... = 0.75/1 = 0.75.
Meaning that the situation is modeled by a proportional relationship with a constant of 0.75, and the function is given as follows:
y = 0.75x.
For which:
x is the number of cars.y is the total cost.The domain and range are given as follows:
Domain: {0, 1, 2, 3, 4, ...}. -> possible amounts of cars.Range: {0, 0.75, 1.5, 2.25, ...}. -> possible prices.More can be learned about proportional relationships at https://brainly.com/question/10424180
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XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip
On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here
principal, p = 2200
rate, r = 2%
time, t = 4 rs,
so SI = P X R X T/100
SI -
[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]
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What is the difference between solving an equation and solving an inequality
Note that solving an equation involves finding the value(s) of the variable(s) that make the equation true. For example, solving the equation 2x + 3 = 7 would give the solution x = 2.
On the other hand, solving an inequality involves finding the set of all values of the variable(s) that make the inequality true. For example, solving the inequality 2x + 3 > 7 would give the solution x > 1.
What is inequality in Math?An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.
In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.
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tan( 4/3 + 12/5 )= what
Answer:
[tex]tan\frac{56}{15}[/tex]
Step-by-step explanation:
We are given the trigonometrical equation of tan( 4/3 + 12/5) and are asked to find the answer.
To solve this, keep in mind that even though this has tan, the process of adding fractions is no different from the original format.
First, find the LCM of 3 and 5, this would be 15. Multiply the numbers to get to 15 (3 and 5) by both denominators and numerators.
[tex]\frac{4*5}{3*5} + \frac{12*3}{5*3}[/tex]
[tex]\frac{20}{15}+\frac{36}{15}[/tex]
[tex]\frac{56}{15}[/tex]
Our answer would be [tex]tan\frac{56}{15}[/tex]
Answer:
tan(56/15)
Step-by-step explanation:
tan( 4/3 + 12/5 ) =
tan( 20/15 + 36/15) =
tan( 56/15 )
What is the IQR?
a. 20
b. 41
c. 11.5
d. 61
Hello friend, (づ。◕‿‿◕。)づ I'm here to help you solve this
Answer:
IQR = 35.25
Step-by-step explanation:
First Quartile Q1 = 15.75
Second Quartile Q2 = 30.5
Third Quartile Q3 = 51
Interquartile Range IQR = 35.25
Median = Q2 x˜ = 30.5
Minimum Min = 11.5
Maximum Max = 61
Range R = 49.5
~~Best regards
~Akmp
plz help mee with thisss
Answer:
495
Step-by-step explanation:
60x10=600
600-105=495
The equation of the line passing through the points (−1, 2) and (4, 0) is given by ax + by = 16. What is the value of b?
Answer:
8/5
Step-by-step explanation:
Slope of the line = (-1-4)/(2-0)= -5/2
Equation of the line :
=> y - y1 = m(x - x1)
=> y - 0 = (-5/2)(x - 4)
=> 2(y - 0) = - 5x + 20
=> 2y + 5x = 20
To make the RHS 16, divide both sides by 20 and multiply by 16:
=> (2y/20)*16 + (5x/20)*16 = (20/20)*16
=> 8y/5 + 4x = 16
compare the equation with ax + by = 16 for y, b = 8/5
If enrollment in a class went from 30 people last term to 25 people this term, what is the percent decrease? Round to the nearest percent.
====================================================
Explanation:
The change in value is 30-25 = 5, so the amount has dropped by 5
Divide this change over the original amount to get 5/30 = 0.1667 approximately. This converts to 16.67% roughly, and that rounds to 17%
----------------
Here's a way to do it using a formula
A = old value = 30
B = new value = 25
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (25-30)/30 ] * 100%
C = -0.1667 * 100%
C = -16.67%
C = -17%
The negative percent change means we have a percent decrease. The class size went down by about 17%.
Todd caught at least three times as many fish this year than last year. He caught 63
fish this year. Which inequality represents how many fish he caught last year?
Answer:
3y ≥ 63
Step-by-step explanation:
Ill tell you how I did it hold on
Answer:
3y ≤ 63
Step-by-step explanation:
3y ≤ 63
y ≤ 21
this means that last year ('y') he caught, at most, 21 fish - this is 1/3 less than this year
the cylindrical toothbrush holder modeled below has a diameter of 6.5 centimeters and a height of 9 centimeters. The shaded part represents the base of the cylinder.
A formula for finding the volume for a cylinder is V= Bh which equation can be used to find b, the area of the cylinders base in square centimeters?
A B= 3.14(6.5/2)^2
B B = 3.14(6.5/2)
C B = 3.14(6.5)^2
D B = 3.14(6.5)
Answer: B
Step-by-step explanation:
Sidney surveyed 14 students at her school about their favorite classes. Of the students surveyed, 8 said their favorite class was Math. What is the experimental probability that the next student Sidney talks to will pick Math? Fraction answer and reduce!
Answer:
4/7
Step-by-step explanation:
8/14=4/7
Unit test Which of the x-values are solutions to the following inequality? 2 > 111
Answer: C
Step-by-step explanation: It is C because X is greater than (>) 111, and 119 is greater than 111. Good luck on the test!
14. A square has a perimeter of 36 units. One vertex of the square is located at (3,5) on the coordinate grid, What could be the x- and y-coordinates of another vertex of the square?
Answer:
For a square of side length L, the perimeter is:
P = 4*L
Then if the perimeter of our square is 36 units, we have:
36 units = 4*L
(36 units)/4 = L = 9 units.
Now we know that one vertex of the square is located at (3, 5)
Then another vertex of the square can be at:
A distance of 9 units of this point (such that these vertices are connected by one side of the square)
Some examples can be:
(3 + 9, 5) = (12, 5)
or
(3, 5 + 9) = (3, 14)
These are the simpler options, there are a lot of other possible points that can be another vertes (we can have a circle of radius 9 units centered in the point (3, 5), all these points can be another vertex of the square).
We also can have a vertex that is connected by the diagonal, this point can be:
(3 + 9, 5 + 9) = (12, 14)
or
(3 - 9, 5 - 9) = (-6, -4)
Again, there are a lot of other possible points that can be this vertex (A circle of radius √2*9 units centered in the point (3, 5)).
For each expression, select all equivalent expressions from the list.
(a) 4(5x-2)
1) 20x-2
2) 20x - 8
3) 9x-2
4) 4.5x-4.2
(b) 8y + 5y + 7y
1) 8y+12y
2) 12y-8y
3) 20y
4) 20+ y
Answer:
A. 2 20x-8
B. 3 20y
please help quick
Could you please not put a link
Answer: 40°
Step-by-step explanation:
Angle FGH has the same measure as angle EHG. We know this because of the two little red lines on both the angles. Similarly, angles GEH and GFH would have the same measure because they both have one red line. The number of lines will indicate which two measures are equal.
2y + _ x + 8y + 24x is equal too 2(5y+14x). What Is the missing coefficient? (in 2y + _ x + 8y + 24x)
Hey, Um not sure what the answer is positively but I think its 2. MIGHT NOT BE RIGHT *BEWARE*
Answer:
4Step-by-step explanation:
2y + kx + 8y + 24x = 2(5y + 14x)10y + (24 + k)x = 10y + 28x24 + k = 28k = 4The missing coefficient is 4
3 1/7 x [3 1/3 x (2/3+1/6) -1 5/18] ÷2 3/7 =?
Step-by-step explanation:
3 1/7 × [3 1/3 × (2/3 + 1/6) - 1 5/18] ÷ 2 3/7
well, first we have to bring everything to true fractions.
then we need to bring all fractions we need to add or subtract to the same denominators.
and then we simply calculate.
3 1/7 = (3×7 + 1)/7 = 22/7
3 1/3 = (3×3 + 1)/3 = 10/3
1 5/18 = (1×18 + 5)/18 = 23/18
2 3/7 = (2×7 + 3)/7 = 17/7
22/7 × [10/3 × (2/3 + 1/6) - 23/18] ÷ 17/7
to be able to add 2/3 and 1/6 we need to bring the to the same denominator, with its simply 6.
2/3 + 1/6 = 2/2 × 2/3 + 1/6 = 4/6 + 1/6 = 5/6
22/7 × [10/3 × 5/6 - 23/18] ÷ 17/7
22/7 × [50/18 - 23/18] ÷ 17/7
22/7 × 27/18 ÷ 17/7
22/7 × 27/18 × 7/17
22/17 × 27/18 = 22/17 × 3/2 = 66/34 = 33/17
so, the result is 33/17 = 1 16/17
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Click and place the simplified expression after its original expression.
1) A publisher wants to determine the thickness of a book they will print soon. The book has a front cover and a back cover, each of which have a thickness of
1/4 in. The publisher can choose on what type of paper to print the book.
Bond paper has a thickness of 1/4 in. per 100 pages.
Write an equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper.
Ledger paper has a thickness of 2/5 in. per `100` pages. Write an equation that gives the width `y` of the book, if it has `x`-hundred pages printed on ledger paper.
2) If the publisher selects front and back covers with a thickness of 1/3 in. each, how would this change the equations you wrote on the previous slides?
1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x
1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x
2) The equation will be; y = ²/₃ +¹/₄x
How to solve Algebraic Word Problems?1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;
The addition of both gives to the book thickness of;
1/4 + 1/4 = 1/2 inch, despite how many pages the book has.
We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:
y = ¹/₂ + ¹/₄x
where;
y is the width of the book in inches.
x is every hundred pages printed on bond paper.
1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;
y = ¹/₂ + ²/₅x
2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;
y = 2(1/3) +¹/₄x
y = ²/₃ +¹/₄x
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Mike went on a bicycle trip. Every 4 days he travels 230 miles.
Create a proportional table comparing miles traveled to days spent traveling.
Calculating the ratio between each pair of values in a table allows you to determine whether a proportional relationship is present. The table depicts a proportional relationship if all of those ratios are the same.
How should an equation for a proportional table be written?y = k x, where is the proportionality constant, is the equation that depicts a proportional relationship, or a line. Find k and create the equation by using k = y x from a table or graph. Tables, graphs, and equations can all be used to depict proportional relationships.
How should a proportional relationship be written?The equation y = kx represents a proportional relationship between two quantities y and x that have the same proportionality constant, k.
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true or false!!!!!!! Good luck!
ceva's theorem can alway be used to determine wether or not medians of a triangle are concurrent.
ceva's theorem can always be used to determine whether or not altitudes of a triangle are concurrent.
in lobachevskian geometry, the sum of the angles of a triangle is less than 180 degrees
in riemannian geometry, the sum of the angles of a triangle is less than 180 degrees
in lobachevskian geometry, the summit angles of a saccheri quadrilateral are obtuse
in riemannian geometry, the summit angles of a saccheri quadrilateral are obtuse
in euclidian geometry, the summit angles of a saccheri quadrilateral are obtuse
in a circle, if an inscribed angle and a central angle intercept the same arc, which symbol (<,>,=) correctly completes this mathematical sentence?
3. True
4. False
5. False
6. True
7. False
I dont know numbers 1, 2, or 8.
The statement 4,5 and 7 are false and the statements 3 and 6.
We have given that,
Ceva's theorem can always be used to determine whether or not medians of a triangle are concurrent.
Ceva's theorem can always be used to determine whether or not the altitudes of a triangle are concurrent.
In Lobachevskian geometry, the sum of the angles of a triangle is less than 180 degrees
In Riemannian geometry, the sum of the angles of a triangle is less than 180 degrees.
In Lobachevskian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In Riemannian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In euclidian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In a circle, if an inscribed angle and a central angle intercept the same arc,
We have to determine the statement true or false.
What is Riemannian geometry?A Riemannian manifold or Riemannian space, so-called after the German mathematician Bernhard Riemann, is a real, smooth manifold M equipped with a positive-definite inner product gI on the tangent space TIM at each point p.
Therefore, The statement 4,5, and 7 are false, and the statements 3 and 6.
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50 POINTS! PLEASE HELP TT
A bag contains 1 red marble, 2 blue marbles, 3 yellow marbles, and 4 black marbles. A marble is randomly chosen from the bag, returned, and then another marble is chosen. What is the probablility that both marbles are blue?
Answer:
The probability that both marbles are blue is 1/25------------------------------------
Number of marbles:
Red = 1, blue = 2, yellow = 3, black = 4Total number:
1 + 2 + 3 + 4 = 10Probability of getting a blue marble:
P(blue) = number of blue / total numberP(blue) = 2/10 = 1/5Since the second marble is selected with replacement, the probability of the second blue marble is same, so the probability of two blue marbles is:
P(blue, blue) = 1/5*1/5 = 1/25[tex] \sf \: Probability _{(Blue)}=2/10×2/10 \\ \\ \sf Probability _{(Blue)}= \frac{1}{25} [/tex]
5. If a perp b and b//c. then
The answer to the above question is B. Multiply the first equation by -2 and add the second equation.
What is equation?A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra. Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."
Given,
[tex]2x - 2y = 24\\4x + 7y=-40\-4x +4y = -96\\4x+7y = -40\\11y = -136\\y = -136/11[/tex]
The answer to the above question is B. Multiply the first equation by -2 and add the second equation.
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the inaugural attendance of an annual film festival is 20,000. The attendance y increases by 5% each year
1. about how many people will attend the festival in the fifth year?
Answer:
24,241 people
Step-by-step explanation:
To determine the attendance at the festival in the fifth year, we need to calculate the cumulative increase in attendance over five years.
1st year: 20,000
2nd year: 20,000 * 1.05 = 21,000 (5% increase from the first year)
3rd year: 21,000 * 1.05 = 22,050 (5% increase from the second year)
4th year: 22,050 * 1.05 = 23,127.50 (5% increase from the third year)
5th year: 23,127.50 * 1.05 = 24,241.38 (5% increase from the fourth year)
So, in the fifth year the festival will be attended by approximately 24,241 people.