Answers
Given the angle bisector, the statements and reasons for the proof are explained.
What is an angle bisector?A bisector splits a given line or angle into two equal parts. A straight line is said to be an angle bisector if it divides a given angle into two equal measures. Such that on comparison, the sum of the angles formed is equal to the measure of the bisected angle.
The statements and reasons for the proof are given below;
STATEMENT REASONS
1. MK bisects <HKO and <HMO Given
2. m<HMK = m<OMK and m<HKM = m<OKM Definition of angle bisector
3. HK ≅ KO, and HM ≅ OM Congruent side property
4. ΔHMK ≅ ΔOMK Angle-Angle-Side theorem
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Related Questions
56% of is 3.92?
0 4
O 5
O 6
O 7
Answers
The number of which 3.92 is 56 percent, is 7.
What is percent?A percentage of an object is how many parts of it there are out of 100 equal parts. For example, if you split a shape into 100 parts, 20 of the parts make 20%.
Given that, 3.92 is what number's 56%,
Let the number be x,
Therefore, by the definition of percentage,
56% of x = 3.92
56/100 × x = 3.92
x = 3.92 × 100/56
x = 392/56
x = 7
Hence, the number of which 3.92 is 56 percent, is 7.
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The length of a shadow of a building is 98 ft when the sun is 66° above the horizon. Find the height of the building. Round your answer to the nearest tenth.
000
000
66°
98
Answers
If the length of a shadow of a building is 98 ft when the sun is 66° above the horizon then the height of the building is, 267.7 ft.
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
We can use the tangent function to solve for the height of the building.
tan(66°) = height of building / 98 ft
Solving for the height of the building,
we get:
height of building = 98 ft x tan(66°)
Using a calculator, the value of tan(66°) is approximately 2.73.
So,
height of building = 98 ft x 2.73
height of building = 267.74 ft
Rounding to the nearest tenth, the height of the building is approximately 267.7 ft.
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1. If you roll a single die and get 4 fives in a row, what is the probability that you'll get a five on the
next roll?
2. What is the probability that you'll get 5 fives in a row when rolling a single die?
3. A roulette wheel has 38 numbers. If the "lucky" number 7 comes up twice in a row, what is the
probability it will come up on the very next roll?
4. What is the probability of getting three 7's in a row on a roulette wheel?
5. If I type randint(1,10) on my calculator, I get a random integer between 1 and 10 (inclusive). If I
do this 6 times, what is the probability that all 6 outcomes will be a 1?
6. If I roll a pair of dice, what is the probability of getting a pair of sixes?
7. If I roll a pair of dice, what is the probability of getting any pair?
Answers
1. 1/6 is the probability of rolling a five on the next roll.
2. The probability of getting 5 fives in a row when rolling a single die is 1/7776 .
3. 1/38 is he probability of 7 coming up on the very next spin is
4. 1/54782 is the probability of getting three 7's in a row on a roulette wheel.
5. (1/10)⁶ is the probability of getting a 1 on all six trials.
6. 1/36 is the probability of getting a pair of sixes when rolling a pair of dice is
7. The probability of getting any pair is 1/6
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
1. The probability of rolling a five on a single roll of a fair die is 1/6, since there are six equally likely outcomes: rolling a 1, 2, 3, 4, 5, or 6.
the probability of rolling a five on the next roll is still 1/6, regardless of whether the previous rolls resulted in four fives in a row or not.
2. The probability of getting a five on a single roll of a fair die is 1/6, as there are six equally likely outcomes.
the probability of getting 5 fives in a row when rolling a single die is:
(1/6) × (1/6) × (1/6) × (1/6) × (1/6) = 1/7776
3. The probability of any particular number coming up on a single spin of an American roulette wheel with 38 numbers is 1/38, since there are 38 equally likely outcomes.
As these are independent , the probability of 7 coming up on the very next spin is still 1/38.
4. The probability of getting three 7's in a row on a roulette wheel is:
(1/38) × (1/38) × (1/38) = 1/54,872
5. The probability of generating a 1 on a single trial is 1/10.
The probability of getting a 1 on a single trial by itself six times
(1/10) × (1/10) × (1/10) × (1/10) × (1/10) × (1/10) = (1/10)⁶
The probability of getting a 1 on all six trials is (1/10)⁶
6.
The probability of getting a pair of sixes when rolling a pair of dice is:
1/36
7.
The probability of getting any pair when rolling a pair of dice is:
Number of ways to get a pair / Total number of possible outcomes
= 6 / 36
= 1 / 6
So the probability of getting any pair is 1/6
Hence,
1. The probability of rolling a five on the next roll is 1/6.
2. 1/7776 is the probability of getting 5 fives in a row when rolling a single die.
3. The probability of 7 coming up on the very next spin is 1/38.
4. The probability of getting three 7's in a row on a roulette wheel is 1/54782
5. The probability of getting a 1 on all six trials is (1/10)⁶
6. The probability of getting a pair of sixes when rolling a pair of dice is:
1/36
7. the probability of getting any pair is 1/6
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Mrs. Ellis is shopping for school
supplies with her children. Hansen
selected 3 one-inch binders and 2 two-
inch binders, which cost a total of $20.
Pam selected 3 one-inch binders and 5
two-inch binders, which cost a total of
$32. How much does each size of
binder cost?
Answers
From the first piece of information, we know that 3 one-inch binders and 2 two-inch binders cost a total of $20:
3x + 2y = 20
From the second piece of information, we know that 3 one-inch binders and 5 two-inch binders cost a total of $32:
3x + 5y = 32
We now have two equations with two unknowns, x and y. We can solve for one of the unknowns by using either of the two equations and then substituting the result into the other equation.
Let's solve for x by rearranging the first equation:
x = (20 - 2y) / 3
Now we can substitute this expression for x into the second equation:
3((20 - 2y) / 3) + 5y = 32
Expanding and simplifying the left-hand side:
20 - 2y + 15y = 32
13y = 12
Finally, solving for y:
y = 12 / 13
So, each two-inch binder costs $12 / 13 = $0.92. And finally, we can use either equation to find the cost of a one-inch binder:
x = 20 - 2y = 20 - 2($0.92) = $1.08
So, each one-inch binder costs $1.08
Answer:
Each one-inch binder costs $2.67 and each two-inch binder costs $6.
Step-by-step explanation:
Let's call the cost of a one-inch binder "x" and the cost of a two-inch binder "y".
From Hansen's purchase, we know that 3x + 2y = $20.
From Pam's purchase, we know that 3x + 5y = $32.
We can use these two equations to solve for the cost of each size of binder. If we subtract the first equation from the second, we get:
2y = $32 - $20 = $12
So, y = $6, which is the cost of a two-inch binder.
Next, we can plug this value back into either of the original equations to find the cost of a one-inch binder:
3x + 2($6) = $20
Expanding the right side, we get:
3x + $12 = $20
Subtracting $12 from both sides, we get:
3x = $8
Finally, dividing both sides by 3, we find that:
x = $2.67
So, each one-inch binder costs $2.67 and each two-inch binder costs $6.
Which three capital cities sit on or nearly on the equator?
Answers
Answer: Demographic republic of Congo, Uganda and Gabon
Find the perimeter and area of the rectangle below
Answers
Perimeter and area of the rectangle would be 2(10x² + 7xy²) and 70x²y².
What is Perimeter and area?
The perimeter of a shape is the distance around its outside. The space inside a shape is measured by area.
Given the length l = 10x² and width w = 7xy² of a rectangle, the perimeter P and area A can be calculated as follows:
1) Perimeter P:
P = 2(l + w)
= 2(10x² + 7xy²)
2)Area A:
A = l * w
= 10x² * 7xy²
= 70x²y²
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Write an equation of the line passing through point P(0,
1) that is parallel to the line y =
2x +3.
L
y =
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
Parallel lines have the same slope. The slope in the equation y = 2x + 3 is 2. The slope of the parallel equation will be 2 also.
We will use the slope, and the point (0,1) to help us write the new equation.
The y intercept of the parallel line is 1. When x = 0, y is where the line will cross the y axis. So the y intercept is 1
The slope (m) is 2 and the y-intercept (b) is 1.
y = mx + b Substitute 2 for m and 1 for b.
y = 2x + 1
Pls show your work thank you will mark the Brainliest
Answers
Answer:
second option
Step-by-step explanation:
an exponential function modelling the situation has the form
y = a [tex](b)^{x}[/tex]
to find a and b use ordered pairs from the table
using (0, 11000 )
11000 = a [tex](b)^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then
a = 11000 , so
y = 11000 [tex]b^{x}[/tex]
using (1, 9350 )
9350 = 11000 [tex]b^{1}[/tex] = 11000b ( divide both sides by 11000 )
[tex]\frac{9350}{11000}[/tex] = b
b = 0.85
then exponential function is
y = 11000 [tex](0.85)^{x}[/tex]
math question|| geometry
Answers
The length TE in the parallelogram is 11 units
How to determine the length TEFrom the question, we have the following parameters that can be used in our computation:
The parallelogram QRST
The diagonals of parallelogram are equal
Using the above as a guide, we have the following:
QE =SE
Substitute the known values in the above equation, so, we have the following representation
3x + 12 = x + 16
So, we have
2x = 4
Divide
x = 2
Recall that
TE = 6x - 1
So, we have
TE = 6 * 2 - 1
Evaluate
TE = 11
Hence, the lentth is 11 units
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Select the correct answer. Rewrite the expression using only positive integer exponents. (m2/3n-1/3)^6
A. m9/n18
B. n18/m9
C. m4/n2
D. n2/m4
Answers
Answer:
C. m4/n2 :))))
pls hurry! Write the equation for the line in slope-intercept form: y=mx+b.
Answers
The population of rabbits on an island is growing exponentially. In the year 2000, the population of rabbits was 950, and by 2003 the population had grown to 1000. Predict the population of rabbits in the year 2013, to the nearest whole number.
Answers
The population of rabbits in the year 2013 is 1186.
How to predict the population of rabbits in the year 2013?
To predict the population of rabbits in the year 2013, we can use exponential growth. The formula for exponential growth is:
P = P₀ * e^(rt)
where:
P = final population
P₀ = initial population (950)
r = the growth rate (we need to find this)
t = time elapsed (13 years)
We can use the data from 2003 to find the growth rate:
1000 = 950 * e^(r * 3)
1000 = 950 * e^(3r)
1000/950 = e^(3r)
ln (1000/950) = 3r
r = (ln(1000 / 950)) / 3
r = 0.0171
Now that we have the growth rate, we can use it to find the population in 2013:
P = 950 * e^(0.0171 * 13)
P = 1186
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ason has 4 feet of ribbon. He uses 1/3 foot of ribbon to wrap a gift. How many gifts can Jason wrap with the ribbon he has?
answer choices
1/3
1/12
4
12
Answers
The number of gifts ason can wrap with the ribbon he has is 12.
Conversions :A quantity that is multiplied or divided between one set of units and another is termed as a conversion factor. If a conversion is required, it must be carried out with the right conversion factor to generate a value that is identical.
To change a value or expression from one form to another.
Now in the given question,
ason wraps a gift using one third of a foot of ribbon.
he has total ribbon of 4 feet.
so, we have the equation,
[tex]\frac{1}{3} x=4\\\\x=12[/tex].
hence, 12 gifts can be wrapped with the ribbon ason has.
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The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the airplane
and x represents the number of minutes the plane has been descending:
y=-5x + 100
Part A:
Create a table for the values when x = 0, 5, 8, 10, 30.
Include worked-out equations used to identify the values within the table.
Part B:
Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening
to the airplane at these time intervals.
Answers
Answer:
32x95%?
Step-by-step explanation:
Im so confused with this question statement.
the distribution of the amount of money undergraduate students spend on books for a term is right-skewed, with a mean of $400 and a standard deviation of $80. in a simple random sample of 100 undergraduate students, what is the expected value of the sample mean amount of money spent on books?
Answers
The expected value of the sample mean amount of money spent on books is equal to the population mean, which is $400.
This is a property of the sampling distribution of the sample mean, which states that the mean of all possible sample means is equal to the population mean.
In other words, if we take all possible random samples of size 100 from the population of undergraduate students, and calculate the mean amount of money spent on books for each sample, then the average of all these sample means will be $400.
The expected value of the sample mean amount of money spent on books can be calculated using the formula:
E(X) = μ
where X is the sample mean, and μ is the population mean.
In this case, the population mean is given as $400. Therefore, the expected value of the sample mean amount of money spent on books is also $400.
However, we can also calculate the standard error of the mean (SE) to get a measure of the variability of the sample mean. The formula for SE is:
[tex]SE = σ / sqrt(n)[/tex]
where σ is the population standard deviation, and n is the sample size.
Substituting the values, we get:
[tex]SE = 80 / sqrt(100) = 8[/tex]
This property is true regardless of the sample size, as long as the sample is randomly selected and independent. However, as the sample size increases, the sampling distribution of the sample mean becomes more normal and the standard error of the mean decreases, making the sample mean a more precise estimate of the population mean.
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Is it always possible, no matter how the rabbit moves, and no matter what points are reported by the tracking device, for the hunter to choose her moves so that after $10^9$ rounds she can ensure that the distance between her and the rabbit is at most 100?
Answers
It is not always possible for the hunter to ensure that the distance between her and the rabbit is at most 100 after $10⁹$ rounds. The distance between the hunter and the rabbit can increase by a factor of 2 in each round, making it impossible for the hunter to catch the rabbit in some scenarios.
It is not always possible for the hunter to ensure that the distance between her and the rabbit is at most 100 after $10⁹$ rounds, regardless of how the rabbit moves or what points are reported by the tracking device. This is because the distance between the hunter and the rabbit can increase by a factor of 2 in each round, which means that after $10⁹$ rounds, the distance between them could be as much as $2⁽¹⁰⁾⁹$ times the initial distance. This value could be much larger than 100, making it impossible for the hunter to catch the rabbit. Therefore, there are scenarios in which the hunter cannot catch the rabbit within $10⁹$ rounds.
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the following frequency table represents the number of drinks someone has in a week for 40 people. what is the 70th percentile of the data?
Answers
Answer:
Step-by-step explanation:
help me please help help
Answers
The equation that can be used to find the number of gardens that Kalisa welds is given as follows:
200 + 5.5w = 260.50.
How to construct the equation?Kalisa's earnings are divided as follows:
Mows 8 lawns for $25 each -> total of 25 x 8 = $200.Welds w gardens for $5.5 each -> total of 5.5w.Hence the equation for the total earnings is constructed follows:
T(w) = 200 + 5.5w.
Her total earnings are of $260.50, hence the number of gardens that Kalisa welds is given as follows:
200 + 5.5w = 260.50.
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which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
19
Answers
Natural numbers are sometimes known as counting numbers. Numbers that can be counted but not zero. Whole numbers are a modest extension of natural numbers and include Zero.
Are a set of natural numbers and a set of integers the same thing?A subset of the natural numbers are the positive integers, often known as non-negative integers. Here are a few instances: 1, 2, 3, 4, 5, 6,... In other words, the "natural numbers" are the collection of all whole numbers that do not include 0.
What are a few examples in groups?There are just a limited amount of parts to it. Example: A = 1, 2, 3, and 4. An infinite set has unlimited items. All entire numbers are in a set called whole numbers.
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zach keeps his pet chameleon pinky in a terrarium with the dimensions shown below. there's sand in the bottom of the terrarium that reaches a height of 8 88 centimeters. zach gets a new terrarium for pinky that is larger. the base of the new terrarium is 25 2525 by 64 6464 centimeters. zach moved the existing sand to the new terrarium. how deep will the sand be in the new terrarium?
Answers
If Zach moved the existing sand from the old terrarium into the new terrarium , then the sand in the new terrarium will be 5cm deep .
The dimensions of the old terrarium is = 20 by 50 cm ;
The dimensions of the new terrarium is = 25 by 64 cm ;
So , amount of sand that Zach has is = Volume of sand in the old terrarium, that is ( Area of base of the old terrarium) × (height of sand) ;
Volume of Sand = 20 × 50 × 8 = 8000 cm³ ;
When Zach moves the sand to the new terrarium, volume of sand will be same, so we can write the equation ;
⇒ 20 × 50 × 8 = 25 × 64 × h ;
where h is = height of sand in new terrarium.
Now solving for h, we get ;
⇒ h = (20 × 50 × 8 cm)/(25 × 64 )
⇒h = 8000/1600 ;
⇒ h = 5 cm ;
Therefore, the sand will be 5 centimeters deep in the new terrarium.
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The given question is incomplete , the complete question is
Zach keeps his pet chameleon pinky in a terrarium with the dimensions 20 by 50 cm . there's sand in the bottom of the terrarium that reaches a height of 8 88 centimeters.
Zach gets a new terrarium for pinky that is larger. the base of the new terrarium is 25 by 64 centimeters. Zach moved the existing sand to the new terrarium. how deep will the sand be in the new terrarium ?
what is my height in a triangle
Answers
The height of the triangle is the distance that is found between the tip of the triangle at the top to the base of the triangle.
What is the height of a triangle?A triangle's height is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.
The length of a perpendicular segment from the base to the vertex directly across from it determines the height that corresponds to it. The vertex that is not an endpoint of the base is the one on the opposite side.
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LAST TIME I NEED HELP XD
Answers
Answer:
Step-by-step explanation:
no idea. i have a idea!
do it your self
HELP ASAP PLEASE THANK U
Answers
Answer:
Shrub $7
Rose Bush $8
Step-by-step explanation:
First, write them as equations
10r + 4s = $108
5r + s = $47
Next, multiply
10r + 2s = $94
10r + 4s = $108
Then, Subtract
2s = $14
After, Divide
s = $7
Then, plug in and solve
5s + $7 = $47
$40/5s = 8$
$8 = r
$7 = s
Answer: The bushes cost $8 and the shrubs cost 7$
Step-by-step explanation:
For this question you must use system of equations, trial and error will take a very long time.
So yeah, here is how you solve it-
First set up equations (b represents the amount of bushes and s represents the amount of shrubs):
5b + 1s = 47
10b+4s=108
Next you can either solve via elimination or the substitution method. I will show elimination here. Elimination works by slightly modifying one of the equations so that it cancels when it is added to the other equation:
(I modified the first equation)
-4(5b+1s = 47) = -20b-4s=-188
(Then add)
-20b-4s=-188
+ 10b+4s=108
This equals: -10b=-80
Next you just solve for b:
b=-80/-10
b=8
To then find s, plug b into one of the original equations and solve for s:
(I plugged it into the first equation)
5(8)+1s=47
40+s=47
s=7
So the bushes cost $8 and the shrubs cost 7$
Hope this helps :)
how many square feet of outdoor carpet will we need for this hole 12ft 7ft 2ft 3ft
Answers
Amount of square feet of outdoor carpet needed for the hole is 6 feet².
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given is a triangular region with a hole in the shape of a rectangle.
We need to find the area of the hole in order to find the amount of square feet of outdoor carpet needed for the hole.
Area of a rectangle = Length × Width
From the figure,
Length = 3 feet and Width = 2 feet
Area = 3 × 2 = 6 feet²
Hence 6 feet² of outdoor carpet is needed for the hole.
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Question 3 of 10
The function a(b) relates the area of a trapezoid with a given height of 14 and
one base length of 5 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
a(b)=14. D+5
2
Which equation below represents the inverse function b(a), which takes the
trapezoid's area as input and returns as output the length of the other base?
O A. b(a)=+7
B. b(a)--7
O C. b(a)- +5
OD. b(a)-2-5
Answers
Note that the function takes the trapezoid's area as input and returns as output the length of the other base is A(x)/7-5=x.
What is the area of a Trapezoid?Recall that the function for the trapezoid area is:
A(x)=(B+b)*h/2
where
B and b are the bases and
h is the height.
Thus, given a height of 14 and one base length of 5 with the length of its other base
With the given data: h=14 B and b =5 and x (it may vary which one is bigger)
So that function becomes:
A(x)=(5+x) * 14/2
A(x)=(5+x)*7
So if you want the inverse function, you have to operate to find x:
A(x)/7=5+x
A(x)/7-5=x
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The Lupines, a family of werewolves, are heading off for a vacation in the woods of Transylvania. Uncle Harry Lupine has rented a total of 12 horror movie videos and gory games on CDs to amuse the kids, Freddy and Lenore, on the trip. The kids want to know how many games and movies they have. Uncle Harry wants Freddy and Lenore to do some math on the trip, so he tells them, "Games rent for $4. 50 each and movies for $3. 99 each. The total was $49. 92 before tax. Now you can figure out the answer. "
Answers
Uncle Harry rented 4 games, and using that he also rented 8 movies.Therefore, the Lupine family has 8 horror movies and 4 gory games for their vacation.
What is word problem?
A word problem is a type of mathematical problem that is presented using words instead of or in addition to mathematical symbols and equations. Word problems often describe a real-world scenario or situation, and they require the solver to use math skills and critical thinking to identify the relevant information, determine the mathematical operation or operations required, and arrive at a solution to the problem.
Let's assume that the number of movies Uncle Harry rented is "m" and the number of games is "g". We want to find the values of "m" and "g".
From the problem statement, we know that:
The total number of movies and games rented is 12: m + g = 12
The cost of each movie is $3.99: 3.99m
The cost of each game is $4.50: 4.5g
The total cost before tax is $49.92: 3.99m + 4.5g = 49.92
We can use the first equation to express "m" in terms of "g":
m = 12 - g
Substituting this expression for "m" in the second equation, we get:
3.99(12 - g) + 4.5g = 49.92
Expanding the brackets and simplifying, we get:
47.88 - 3.99g + 4.5g = 49.92
0.51g = 2.04
g = 4
So Uncle Harry rented 4 games, and using the first equation, we find that he also rented 8 movies.
Therefore, the Lupine family has 8 horror movies and 4 gory games for their vacation.
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State how the triangles are congruent using SSS, SAS, ASA, AAS, or
HL. If they are not congruent, type NOT.
Answers
Answer:
SAS
Step-by-step explanation:
There are two pairs of congruent sides, and the pair of angles between the congruent sides is also congruent.
Two large charged plates of charge density ±30�C/m2±30μC/m 2 face each other at a separation of 5.0 mm. (a) Find the electric potential everywhere. (b) An electron is released from rest at the negative plate; with what speed will it strike the positive plate?
Answers
(a) Potential on the opposite sides of the positive and negative plates is 8475 V and -8475 V, respectively. (b). 772 m/s is the speed at which the positive plate will be struck.
What is the word for speed in science?A more technical or sophisticated phrase, velocity, is occasionally used interchangeably with speed to refer to extremely high rates of linear or circular speed, such as the velocity of a bullet.
a). Positivplate should be on the right and negativeplate should be on the left.
Potential equals zero at the center of the plates.
Electric field between it plates: 30e⁻⁶/8.85e⁻¹² (338 V/m) = sigma/e0
Potential is equal to 3389830x, where x is the distance in meters from the center of the plates.
Where x is the distance in meters from the center of the plates, the potential to the left of either the middle point equals -3389830x.
Potential outside of the positive plate is equal to 3389830*0.005/2, or 8475 V.
The potential is -8475 V on the contrary side of the negative plate.
Potential between it plates is equal to -8474 + 3389830x, where x is the distance in meters from the negative plates.
b). Electron energy at the positive plate is equal to [8475 - -8475]. eV = 2*8475*1.6e⁻¹⁹ = 2.712*10⁻¹⁵ J
Speed = sqrt(2E/m) = sqrt(2*2.712e-15/9.1e⁻³¹) = 772 meters per second.
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so what is 24 water bottles and 12 oz and 30 guest and 1 cup
Answers
There will be enough water for all the guests.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Total number of bottles = 24
Capacity of each bottle = 12 oz
Total capacity of the 24 water bottles = 12 × 24 = 288 oz
Now we have,
8 ounces = 1 cup
288 ounces = 288 / 8 = 36 cups
So there are 36 cups of water in total.
Number of guests = 30
If each guest drinks one cup of water, there will be 36 - 30 = 6 cups of water remaining.
Hence there will be enough water for the guests with 6 cups of water remaining.
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Your question is incomplete. Probably the correct question is as follows.
Before a party, Ashley bought a tray of 24 water bottles, each bottle has a capacity of 12 oz. There are 30 guests. If each guest drinks I cup of water, is there enough water for all the guests?
PLEASE HELP ME WITH THESE!!!!!!!!!!!!!!!!!!!!
If I have an answer please ignore my current answer and just solve for the correct answer. Thanksssss!
Answers
The volume of the rectangular prism will be 1008 cubic inches and the volume of the pyramid is 504 cubic inches.
What is volume?The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.
The volume of the rectangular prism will be the multiplication of the three parameters which are Length, Width, and Height of the prism.
The volume of the pyramid is the product of half of the area of the base and the height of the pyramid,
The volume of prism = 14 x 12 x 6
The volume of the prism = 1008 cubic inches
The volume of the pyramid,
Volume = 1/2 x Base area x H
Volume = 1/2 x 72 x 14
Volume = 504 cubic inches.
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