The volume of the prism is 48.75cm³
What is volume of a prism?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
A prism is a solid shape that is bound on all its sides by plane faces.
The volume of the prism is expressed as;
V = base area × height
base area = 1/2 bh
area = 1/2 × 6 × 5/2
= 30/4
= 7.5 cm²
Height of the prism = 13/2 = 6.5 cm
Therefore the volume
= 7.5 × 6.5
= 48.75 cm³
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The value of "y" varies directly with "x".
If y = 102, then x = 17.
Solve for k.
Answer:
Given the value of x varies directly with the value of y means that x and y are proportional to each other, so y = kx.
We can easily solve for k by substituting in the given x and y values into y = kx:
y = 102
x = 17
y = kx
102 = k(17)
102/17 = k
k = 6
Susan can pick 4 pounds of coffee beans in an hour or gather 2 pounds of nuts. Tom can pick 2 pounds of coffee beans in an hour or gather 4 pounds of nuts. Each works 6 hours per day. a. Together, what is the maximum number of pounds of coffee beans the two can pick in a day
Answer:
144
Step-by-step explanation:
Susan can pick 4 pounds of coffee beans in an hour. Tom can pick 2 pounds of coffee beans in an hour. Together, they can pick 6 pounds of coffee an hour.
4 + 2 = 6
There are 24 hours in a day. Multiply the time by the amount that can be picked to find the answer.
24 × 6 = 144
Together, the maximum number of pounds of coffee beans the can pick in a day is 144 pounds.
Together they can pick a maximum of 36 pounds of coffee
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
given:
Susan can pick 4 pounds of coffee or 2 pounds of nuts.
Tom can pick 2 pounds of coffee or 4 pounds of nuts.
So, In 6 hours
Susan will pick
= 4 * 6
= 24 pounds of coffee.
In 6 hours,
Tom will pick
=2 * 6
= 12 pounds of coffee.
Hence, together they can pick a maximum of 36 pounds of coffee
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help pls i dont know how to do this
Answer:
(-7, 5)
Step-by-step explanation:
You want to know the image of the point (-4, -6) after reflection in the x-axis and translation 3 left and 1 down.
Composition of transformationsThe composition ...
\(T_{-3,-1}\circ r_{\text{x-axis}}\)
is interpreted to mean reflection in the x-axis occurs first, then translation by (-3, -1).
That is, a composition of transformations is evaluated right to left.
ReflectionReflection in the x-axis moves a point from below the x-axis to the same distance above the x-axis. That is, the sign of the y-coordinate changes:
(-4, -6) ⇒ (-4, 6) . . . reflection in the x-axis
TranslationThe translation vector is added to the coordinates of the point:
(-4, 6) +(-3, -1) = (-4-3, 6-1) = (-7, 5)
The image of the point is located at (-7, 5).
5x + 3 = 7x – 1. Find X
Answer:
x = 2
Step-by-step explanation:
start by adding 1 to both sides, then subtract 5x to both sides, you will end up with 4 = 2x which is x = 2
Here you go if you need to show your work!!! I hope this helped :D
Work out the mean of these numbers √2 √18 √50 Give your answer in the form
a√ 2 where a is an integer.
We can simplify the square roots:
√2 = √(2 × 1) = √2 × √1
√18 = √(9 × 2) = √9 × √2 = 3√2
√50 = √(25 × 2) = √25 × √2 = 5√2
Now we can find the mean:
(mean) = (sum of numbers) / (number of numbers)
(mean) = (√2 + 3√2 + 5√2) / 3
(mean) = (9√2) / 3
(mean) = 3√2
Therefore, the mean of the numbers √2, √18, and √50 is 3√2.
Write the decimal represented by each shaded square.
Answer:
1
Step-by-step explanation:
because all of the squares are shaded so it would be 1 whole
Tino can finish a painting job in 2 hours. Dev can finish the same job in 8 hours. How
long will it take Tino and Dev to finish the job if they work together?
Answer:
5 hours
Step-by-step explanation:
First of all Dev is a lazy slacker if you ask me but alright. (8 hours to do the same project it takes Tino to do in 2 hours? what?)
But in all seriousness, lets go and solve this problemo:
because it will take half the amount of time with two people you must first add 8 and two to get 10 which you divide by 2 to get 5.
I hope I am correct, my scincerest apologies if not, have a great day.
Answer:
1.6 hours
Step-by-step explanation:
first lets go over what we know...
In total Tito will finish in 2 hoursDev will finish in a whopping 8 hours.Then, we should think about how much work they can each do in 1 hour...
Tito will do 1/2 of the workDev will do 1/8Now, we have to think about it in terms of x
Tito will do x/2 of the workDev will do x/8(do you see the pattern yet?)
Now we write an equation using x... it will look like this...
x/2 + x/8 = 1
(the one stands for 1 hour)
Find the common denominator (8) and multiply...
4x/8 + x/8 = 4x+x / 8 = 5x/8
Now we do 5x/8 = 1...
5x/8 = 1 ---> 5x/8 * 8 (to get rid of fraction) = 1*8 (we have to what we do to one side to the other remember that!!) ---> 5x = 8 ---> (divide both by the number of x's) 5x/5=x and 8/5 = well.. 8/5.
NOW FINALLY... WE HAVE OUR ANSWER!!! x= 8/5 = 1 3/5= 1.6 (hours)
Rewrite in simplest form: 8(2x)
Answer:
Probably is 16x
Answer:
8×2x
Step-by-step explanation:
As u know that the bracket mean multiplication
Point J is the midpoint of line segment KI Find the length of JI
The required length of segment the JI is given as 6, as same as KJ.
Given that,
A figure shows the line segment KI where J is the midpoint of the segment and KJ = 6, we have to determine the JI.
What is the midpoint?A midpoint is a point on the line whose distance from both ends of the line is equal.
here,
from figure,
JI = x
And J is the midpoint of the segment, so the measure of the KJ is equal to the Measure of JI
KJ = JI
6 = x = JI
Thus, the required length of the segment JI is given as 6, as same as KJ.
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What is the volume of this rectangular prism?
A)40 cu in
B)120 cu in
C)22cu in
D)84 cu in
Answer: B (120 in^3)
Step-by-step explanation: W * L *H = V
Length * Width * Height = Volume
You can multiply the LWH in any order.
Height = 4
Length = 10
Width = 3
Remember, anything multiplied by ten is just the product (answer) with a zero added to the end. Example: 4 * 3 = 12; 12 * 10 = 120
Another Example: 15 * 2 = 30; 30 * 10 = 300
4 * 10 = 40
40 * 3 = 120
Therefore, 120 is your answer.
Hope this helps!
Answer:
The answer to your problem is, 120 cu in
Step-by-step explanation:
In order to find the volume of the cube there is only one thing that you need to do which is pretty simple just follow these steps:
Multiply, l * w * h ( * = multiply )
By following the formula up above you can find the volume of a rectagular prism which is:
4 x 10 = 40
3 x 40 = 120.
Thus the answer to you problem is, 120 cu in
TOOIS
Question 3
A pipe is leaking at a rate of 8 fluid ounces per minute. How many gallons per hour will leak from the pipe?
0.02 gal/hr
A
B
C
D
3.75 gal/hr
17.07 gal/hr
3,840 gal/hr
If a pipe is leaking at a rate of 8 US fluid ounces per minute, then 3.75 US liquid gallons of the fluid will leak from the pipe in an hour.
As per the question statement, a pipe is leaking at a rate of 8 US fluid ounces per minute and we are required to calculate the amount of leak that will occur at the same rate of leakage, in an hour, in the units of US liquid gallons.
To solve this question, we need to know to know about two basic mathematical conversions, i.e.,
1 US Liquid Ounce = 0.00781 US Liquid Gallons, and
1 hour = 60 minutes.
Therefore, amount of leak that will occur at the rate of 8 US fluid ounces per minute, in an hour = \((8 * 60)=480\) US fluid ounces.
And 480 US fluid ounces = \((0.00781 * 480)=3.75\) US Liquid Gallons.
Hence, 3.75 US Liquid Gallons of fluid will leak from the pipe in an hour.
Fluid Ounce: It is an unit of volume, used for measuring liquids. "The British Imperial" and the "United States customary" fluid ounce are the only two that are still in use. The US Fluid ounce is an unit of capacity equal to one-sixteenth of a US pint (approximately 0.03 liter), while the British Imperial fluid ounce a unit of capacity equal to one twentieth of a pint (approximately 0.028 liter).Liquid Gallons: In the United States, Liquid Gallon is an unit of liquid capacity equal to four quarts or 231 cubic inches or 3.785 liters, while in the Great Britain, also known as the "Imperial Gallon", it is an unit of liquid and dry capacity equal to four quarts or 277.42 cubic inches or 4.544 liters.To learn more about Fluid Ounces and Liquid gallons, click on the klink below.
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Which expression is equivalent to 2x4y3
Find the unit rate.
180 miles in 3 hours
Answer:
60 miles per hour
Step-by-step explanation:
First, put the equation in a fraction.
You would put 180 up top because people always say miles per hour not the other way around.
You can see the dividing line as your "per" and your "hour" would be the bottom number.
To find the unit rate, you will divide the numerator (180) and the denominator (3).
Your final answer should be 60 miles per hour.
\(\frac{180}{3} = \frac{60}{1}= 60\)
Area for 10 1/4 and 10 1/2
the tens digit of a two digit is 7. if the order of the digit is reversed the new number obtained is 45 less than the original number. what is the number?
9514 1404 393
Answer:
72
Step-by-step explanation:
The difference of 45 means the difference of digits in the number is 45/9 = 5. So, the ones digit is 7-5 = 2, and the number is 72.
__
If you want an equation, you can use x for the ones digit.
70 +x = 45 +(10x +7)
18 = 9x . . . . . . . . . . . . . subtract 52+x from both sides
2 = x
The ones digit is 2, so the number is 72.
_____
Further explanation
If you start with the two digits xy in a number and reverse them, the difference between the numbers xy and yx is ...
(10x +y) -(10y +x) = 9(x -y)
This tells you the difference between the digit-reversed numbers is 9 times the difference between the digits.
Answer:
the answer is 72
Step-by-step explanation:
:))))))
Abigail wants to ride her bicycle 37 miles this week. She has already ridden 17 miles. If she rides for 5 more days, what is the average number of miles she would have to ride each day to meet her goal? Need help for delta math
Answer:
Step-by-step explanation:
In other to meet up with her target, Abigail would have to cover 4 miles every day.
Target = 37 miles
Covered miles = 17 miles
Number of miles left to cover :
Target - miles coveredNumber of miles left = (37 - 17) miles = 20 miles
Number of miles to cover per day :
20 miles ÷ 5 = 4 milesHence, Abigail would have to cover 4 miles every day.
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Please help me solve these 3 math problems
The domain of the rational function h(x) = (x - 3)/(x² - 4) is equal to (-∞, -2) ∪ (-2, 2) ∪ (2, ∞).
The possible points that would lie on h(x) = x² - x + 1 are (3, 7).
True: (1, -1) is a point of the graph of f(x) = -2(x + 1)² + 7.
What is a domain?In Mathematics, a domain is the set of all real numbers for which a particular function is defined.
From the graph of h(x) = (x - 3)/(x² - 4), the domain in interval notation and set builder notation is as follows;
Domain = (-∞, -2) ∪ (-2, 2) ∪ (2, ∞)
Domain = {x|x ≠ 2, -2}.
Next, we would determine possible x-value for the given quadratic function as follows;
h(x) = x² - x + 1
7 = x² - x + 1
7 - 1 = x² - x
6 = x² - x
x² - x - 6 = 0.
x² - 3x + 2x - 6 = 0.
x(x - 3) + 2(x - 3) = 0
(x + 2)(x - 3) = 0
x = 3 or x = -2.
For second quadratic function f(x) = -2(x + 1)² + 7, we have:
f(x) = -2(x + 1)² + 7
-1 = -2(1 + 1)² + 7
-1 = -2(2)² + 7
-1 = -8 + 7
-1 = -1 (True).
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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Mr. Greenwood bought 1/2 gallon of milk . His family members drank 3/4 of the milk for breakfast. How many gallons of milk did they drink ?
Answer:0.375 or 37.5% of the total milk
Step-by-step explanation:
0.5*0.75=0.375
Miles is throwing three darts at the board shown below. His score is the sum of all three darts. How many different possible total scores could Miles get with three darts?
A. 200
B. 31
C. 12
D. 10
The required a combination of different possible total scores could Miles get with three darts nC3.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
here,
The question seems to be incomplete,
So this solution is standard by certain assumptions.
Let the on the board there are n number of scores listed,
So the different possible total scores could Miles get with three darts
Is given as by combination = nC3
Thus, the required combination of different possible total scores could Miles get with three darts nC3.
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Find the perimeter and area of the rectangle with vertices (5, 6), (5, -3), (2, -3), and (2,
Note that you can draw in the Scratch Area below, but it is not part of the answer.
The perimeter and area of the rectangle with given vertices are 24 units and the area is 27 square units.
To find the perimeter and area of the rectangle with the given vertices, we can use the distance formula and the formula for rectangle area.
First, let's find the lengths of the sides using the distance formula:
Side AB: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(5 - 5)² + (-3 - 6)²]
= √[0² + (-9)²]
= √81
= 9
Side BC: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 5)² + (-3 - (-3))²]
= √[-3² + 0²]
= √9
= 3
Now, we can calculate the perimeter by adding the lengths of all four sides:
Perimeter = AB + BC + CD + DA
= 9 + 3 + 9 + 3
= 24
To find the area of the rectangle, we can use the formula:
Area = Length × Width
The length of the rectangle is AB = 9 and the width is BC = 3.
Area = 9 × 3
= 27
Therefore, the perimeter of the rectangle is 24 units and the area is 27 square units.
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Please help quickly I'm begging!
Assignment details: In this assignment, you will create two graphs and answer questions about Bond's Gym, the business you are supporting.
The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments
Creating the functions of the Bond's GymFrom the question, we have the following parameters that can be used in our computation:
The table of values
For the membership application, we have the following features
Initial value = 600Constant rate of change = (450 - 600)/(15 - 0) = -10So, the function is
f(x) = 600 - 10x
For the membership available, we have the following features
Initial value = 0Constant rate of change = (100 - 0)/(15 - 0) = 20/3So, the function is
g(x) = 20/3x
So, the functions are f(x) = 600 - 10x & g(x) = 20/3x
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CAN SOMEONE TELL ME IF THE CORRECT ANSWER TO THIS IS 16??
E and M are shown as congruent. This could be an Isosceles Triangle, so let's check. In an isosceles triangle, there are two congruent angles adjacent to the non-congruent side, and two congruent sides to the non-congruent angle. This angle is the apex. The apex of this triangle is adjacent to two congruent sides, however it is congruent to angle M, and thus this cannot be an isosceles triangle. That means this is an equilateral triangle, so all sides are congruent. So: LM = 16
7/4x+3 name using degree?
The polynomial 7/4x + 3 is a linear polynomial as its degree is 1
Degree is known as the highest power of the variable x in a given polynomial.
According to the degree,
If degree is 1 then the polynomial is called linear polynomial.
If degree is 2 the it is called quadratic polynomial.
If degree is 3 then it is called cubic polynomial and so on
In the given question the polynomial is 7/4x + 3. Here the degree of the polynomial is 1 that is the highest power of the variable x. Thus the polynomial will be linear polynomial.
Hence the polynomial 7/4x + 3 is linear polynomial.
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Scott has a bag with 144 pieces of candy in it. He gives his sister 25% of the candy. How many pieces of candy does Scott give his sister?
Answer:
Step-by-step explanation:
Scott has 144 pieces of candy
25% is one 4th
144/4=36
he gives to his sister 36
Answer:
Scott gives his sister 36 peices of candy
Step-by-step explanation:
Choose the most appropriate name for the function:
The output from a machine depends on the input to the machine.
A. Output(input), or O(i)
B. Input(output), or O(i)
C. Input(output), or I (0)
D. Output(input), or i(0)
At the school talent show, 1/3 of the people were boys, 3/6 were girls, and the rest were adults. If there were 50 more girls than adults, how many people were there in total? *
Answer:
150 people
Step-by-step explanation:
Lets call the total amount of people at the talent show x. Since 3/6=1/2, we know that half the people are girls, 1/3 are boys. If we added 1/2 and 1/3 we get 5/6, 1-5/6=1/6, so now we know that 1/6 of the people are adults. Because it says "If there were 50 more girls than adults" so from that we can see that 1/2x =1/6x+50. If we were to simplify the equation, we 1/3x=50, so x=150
Combine like terms 0.5(x⁴-3)+12
i think you're wanting this simplified; 0.5x^4 + 10.5
Answer: 0.5x^4+10.5
Step-by-step explanation: hope this helps!
Dingaka receives R12650R12650 when taking out a loan with an annual simple discount rate of 12,5%12,5%. The loan has to be repaid in eight months’ time. The amount that he has to repay is?
Dingaka took out a loan of R12650 with a simple annual discount rate of 12.5%. He has to repay R11595.83 in eight months, after deducting the simple discount of R1054.17.
To find the amount that Dingaka has to repay, we can use the formula for simple discount
Simple Discount = Principal * Rate * Time
Where Principal is the original amount borrowed, Rate is the annual simple discount rate, and Time is the time period in years.
We know that Dingaka received R12650 as the principal amount and the annual simple discount rate is 12.5%, which is equivalent to 0.125 as a decimal. The time period is 8/12 = 2/3 years, since the loan has to be repaid in eight months' time.
Plugging these values into the formula, we get
Simple Discount = 12650 * 0.125 * 2/3
= 12650 * 0.08333333
= 1054.166625
Therefore, the amount that Dingaka has to repay is the principal minus the simple discount, which is
Amount to Repay = Principal - Simple Discount
= 12650 - 1054.166625
= 11595.833375
So, Dingaka has to repay R11595.83 after eight months.
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What’s the answer to If =3+23
, what is
when =1
and =2
?
The value of y when a = 1 and b = 2 is 22.
How to solve an equation?The equation of can be solved as follows: We will substitute the value of a and b in the equation to find the value of y.
Therefore,
y = 3ab + 2b³
Let's find y when a = 1 and b = 2
Hence,
y = 3(1)(2) + 2(2)³
y = 6 + 2(8)
y = 22
Therefore,
y = 22
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