Answer:
1740 cubic feet
Step-by-step explanation:
Given:
A tank is in the shape of a rectangular prism.
Area of base = 116 square feet
Height of the tank = 30 feet
Question asked:
How many cubic feet of water would the tank contain when it is filled halfway?
Solution:
Area of rectangular base = 116 square feet
[tex]Length\times breadth=116[/tex]
As we know:
[tex]Volume\ of\ rectangular\ prism=length\times breadth\times height[/tex]
[tex]=116\times30=3480\ cubic\ feet[/tex]
That means capacity of tank is 3480 cubic feet.
When it is filled halfway, it will contain =
[tex]\frac{1}{2} \ of\ volume=\frac{1}{2}\times3480=1740\ cubic feet[/tex]
Thus, tank will contain 1740 cubic feet of water when it is filled halfway.
What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 2:3?
Answer: it’s either -5 or 5 I just took the test
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The radius of a circle is 5 m. Find its area to the nearest tenth.
The area would be 78.54
Step-by-step explanation:
Here's why:
By using the area of a circle formula, you should plug in the radius and get the following of:
π5^2 = 78.539...
If you round to the nearest tenth you would get the answer of 78.54.
Which statement can be represented by the equation
x+9=97
A. Two-fifths of nine is a number.
B. Two-fifths of a number is nine.
C. Nine more than two-fifths of a number is nine.
D. A number plus nine is the same as two-fifths of nine.
Answer:
d ik
Step-by-step explanation:
Answer:
Nine more than two-fifths of a number is nine.
Step-by-step explanation:
that is the only one that makes sense.
When a product is raised to a power, it is equal to the product of each factor raised to that power. Show that this rule does not apply for a sum or difference to a power using the problem (5 – 3)2. You may indicate an exponent in your answer with ^. For example, 3x2 as 3x^2.
Answer:
In this instance you would do what is inside the parentheses first and then use the exponent. Therefore it would be 3^2 and your answer is 9.
Step-by-step explanation:
Final answer:
The rule for raising a product to a power does not apply to sums or differences because [tex](5 - 3)^2[/tex] correctly calculated is 4, not 16 as incorrectly applying the rule to the sum would suggest (25 – 9).
Explanation:
The rule that when a product is raised to a power, it is equal to the product of each factor raised to that power, does not apply to sums or differences. The example given is [tex](5 - 3)^2[/tex], if we incorrectly apply the rule to the sum, we might think [tex](5^2 - 3^2)[/tex] which is-
25 – 9 = 16
However, performing the operation correctly, we first do the sum inside the parentheses:
(5 – 3) = 2,
and then raise to the power:
[tex]2^2[/tex] = 4.
This clearly shows that raising a sum to a power is not the same as raising each term to the power and then summing.
A farmer sells 7.7 kilograms of apples and pears at the farmer's market. 3 4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
Pears weight = 1.925 kgs
Step-by-step explanation:
Total weight of apples & pears = 7.7kg
Apples weight = 3/4th of total weight
= ( 3/4 ) x ( 7.7 )
= 5.775
So, remaining pears weight = Total weight - Apples weight
= 7.7 - 5.775
= 1.925
Final answer:
The farmer sold 1.925 kilograms of pears at the farmer's market.
Explanation:
A farmer sells 7.7 kilograms of apples and pears at the farmer's market. To find out how many kilograms of pears were sold, we need to calculate the remainder that is not apples.
Since ¾ of the weight is apples, we have:
¾ of 7.7 kg = ¾ * 7.7 = 5.775 kg (apples)Total weight - apples = pears7.7 kg - 5.775 kg = 1.925 kg (pears)Therefore, the farmer sold 1.925 kilograms of pears at the farmer's market.
what is an equation of the line that passes through the points (-8,-4) and (-6,-5)?
Answer:
y=-2x-20
Step-by-step explanation:
y=mx+b
m=(y2-y1)/(x2-x1)
m=(-5+4)/(-6+8)
m=-1/2
y=-1/2x+b
-4=-1/2(-8)+b
-4=4+b
-8=b
y=-1/2x-8
Hope this helped! Please mark brainliest :)
jazzy...if u are there.....say something...testing testing.....A box contains different-colored marbles that are all the same size. The table below shows the colors and amount of each marble in the box:
Color of Marble Number
Red4
Blue8
Green3
Pink5
Allen selects a marble from the box randomly, without looking, and then tosses a fair coin. What is the probability that Allen will select a red marble and the coin will land heads up?
Answer:
i think that is because, that if u order them it is going to be 3,4,5,8
and probably he has a chance of 5 or 4
Step-by-step explanation:
The probability that Allen will select a red marble and the coin will land heads up is 1/10.
To find the probability that Allen will select a red marble and the coin will land heads up, we need to consider two independent events: selecting a red marble and tossing a fair coin.
The probability of selecting a red marble is the number of red marbles (4) divided by the total number of marbles in the box (4 + 8 + 3 + 5 = 20):
Probability of selecting a red marble = 4/20 = 1/5.
The probability of the coin landing heads up is 1/2 since it's a fair coin.
Now, to find the probability of both events occurring together (selecting a red marble and getting heads up), we multiply the probabilities of each event:
Probability of selecting a red marble and getting heads up = (1/5) * (1/2) = 1/10.
So, the probability that Allen will select a red marble and the coin will land heads up is 1/10.
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A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT choose a blue marble?
Answer:
Step-by-step explanation:
No of sample space , n(s) = 12 + 11 + 17 + 5 = 45
No of favorable cases , n(e) = 17
Probability of getting blue marble ,
P(e) = n(e)/n(s)
= 17 / 45
NOW
Probability of not getting blue marble,
P'(e) = 1 - p(e)
= 1 - 17 / 45
= ( 45 - 17)/45
= 28 / 45
Hope it helped :)
The required probability of not getting blue marble is 28/45.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given that bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles.
The total number of outcomes. = 12 + 11 + 17 + 5
So n(S) = 45
Number of favorable outcomes, n(E) = 17
Probability of getting blue marble,
⇒ P(E) = n(E)/n(S)
⇒ P(E) = 17/45
So the required probability of not getting blue marble as
⇒ P'(E) = 1 - P(E)
⇒ P'(E) = 1 - 17 / 45
⇒ P'(E) = (45 - 17)/45
⇒ P'(E) = 28/45
Hence, the required probability of not getting blue marble is 28/45.
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Each of 5 gift bags contains X pencils.Tyler add 3 more pencil to each bag.together the gift pack contain 20 pencils.
Answer:
4.6
Step-by-step explanation:
5x +3 = 20
5x = 23
x = 4.6
There was only one pencil in each of the 5 gift bags.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that each of 5 gift bags contains {X} pencils. Tyler add 3 more pencil to each bag. Together the gift pack contain 20 pencils.
We can write the equation as -
5x + 3(5) = 20
5x + 15 = 20
5x = 5
x = 1
Therefore, there was only one pencil in each of the 5 gift bags.
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Determine the probability of the event, given the following information. Express as a reduced fraction.
A drawer contains 30 pens of various colors: 4 are black, 10 are blue, 3 are red, 6 are green, 6 are blue and red, and 1 is white
A green pen is removed from the drawer and replaced before a black pen is removed.
Answer:
2/75
Step-by-step explanation:
6 of the 30 pens are green, so the probability of selecting a green pen is 6/30 = 1/5.
The pen is then replaced, so there are still 30 pens in the drawer. 4 of the pens are black, so the probability of selecting a black pen is 4/30 = 2/15.
The probability of both events is therefore 1/5 × 2/15 = 2/75.
How much fencing is required to enclose a circular garden whose diameter is 287m?
Answer:
Step-by-step explanation:
Enclosing something with fencing is a perimeter thing. Since we are dealing with a circle, we need the circumference instead, which is the same thing, different formula.
[tex]C=\pi d[/tex]
Filling in with the diameter of 287 m:
[tex]C=\pi (287)[/tex] or you could just say that the circumference is
287π. If you have to multiply in π, then the circumference is
901.18 m
Answer:
The answer to your question is 901.2 m
Step-by-step explanation:
Data
Perimeter = ?
diameter = 287 m
Process
1.- Calculate the radius of the garden
radius = diameter/2
-Substitution
radius = 287/2
-Result
radius = 143.5 m
2.- Calculate the perimeter
Perimeter = 2πr
-Substitution
Perimeter = 2(3.14)(143.5)
-Simplification and result
Perimeter = 901.18 ≈ 901.2 m
Identify the 4 basic transformation
Answer:
Rotation, Reflection, dilation, and translation
Step-by-step explanation:
Rotation: Just rotating the shape; spinning the shape around a point
Reflection: Your shape is either reflecting on the x axis or y axis meaning it is either side by side (y) or up and down (x)
Dilation: Your shape is either going to shrink or get bigger
Translation: Shifting all the points of the figure
Maria invests $6,154 in a savings account with a fixed interest rate of 8% compounded continuously. What will the account balance be after 10 years?
Answer:
$13,695.98
Step-by-step explanation:
We can use the continuous compound interest formula to solve:
[tex]A = Pe^{rt}[/tex]
P = principal amount
r = interest rate (decimal)
t = time (years)
First, lets change 8% into a decimal:
8% -> [tex]\frac{8}{100}[/tex] -> 0.08
Now, lets plug in the values:
[tex]A=6,154e^{0.08(10)}[/tex]
[tex]A=13,695.98[/tex]
The account balance after 10 years will be $13,695.98
what is 9*10^2 times as much as 3*10^-2
Answer:
I believe it is three
Step-by-step explanation:
help pls. will mark brainliest
Which dot plot shows a sample that is most representative of the number of pets in a household?
A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6.
A dot plot going from 0 to 6. There are 2 dots above 1, 3 dots above 2, and 1 dot above 5.
A dot plot going from 0 to 6. There is 1 dot above 0, 2 dots above 1, 1 dot above 2, 1 dot above 3, 1 dot above 4, 1 dot above 5, 2 dots above 6.
A dot plot going from 0 to 6. There is 1 dot above 1, 2 dots above 2, 3 dots above 3, 2 dots above 4, 1 dot above 5.
Answer:a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 12.7 cm and a base with a diameter of 18.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
1187.7
Step-by-step explanation:
V = (1/3)πr2h
Volume = 1187.67 cm³.
What is cone?A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base. The distance from the vertex of the cone to the base is the height of the cone. The circular base has measured value of radius. And the length of the cone from apex to any point on the circumference of the base is the slant height.
Given,
Height of the cone (h) = 12.7cm
Diameter of the circular base(d) = 18.9cm
Radius (r) = d/2 = 18.9/2 = 9.45cm
Volume of the cone
V = 1/3πr²h
V = 1/3×3.14159×9.45×9.45×12.7
V = 1187.66946
V = 1187.67 cm³
Hence the volume of the cone is 1187.67 cm³.
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You bought a video game for
$50, but it loses 25% of its value
every six months. How much
will the video game be worth
after two years?
Answer: $0
Step-by-step explanation:
every six months means the game loses 25%*2 per year = 50%
2 years would be 50%*2 = 100%
Therefore, if the game loses 100% of its value in 2 years, it will be free.
Circle V is shown. Line segments Y V and W V are radii. Tangents Y X and W X intersect at point X outside of the circle. The length of V Y is 5. Angle V is a right angle.
What is the measure of circumscribed ∠X?
A 45
B 50
C 90
D 95
Answer:
the answer is 90 i just took the test
Step-by-step explanation:
A typical water bottle holds 16.9 fluid ounces,or 500 milliliters of water.How many liters is equivalent to 500 milliliters?
Answer: 0.5 and 1
Step-by-step explanation: oz. bottle will contain around 500 mL of liquid. This means that you need 2 bottles of 16.9 fl. oz. to make up 1 Liter in the US.
I need help with answering this question
The length of a rectangle is the sum of the width and 1. The area of the rectangle is 72 units. What is the length in units of the rectangle
Answer:the width of the rectangle is 9 because sum of the width and one is 9
Step-by-step explanation:
The length would be 9.
The width could be 8, which would make sense, because the width plus 1 would equal nine. You can confirm these dimensions by multiplying them to get the area, 72.
Solve the inequality and graph the solution g-3>6
Answer: It should be g > 9
Step-by-step explanation:
-Solve:
[tex]g-3>6[/tex]
[tex]g-3+3>6+3[/tex]
[tex]g>9[/tex]
So, Therefore, the result is g > 9
The solution to the inequality is g > 9.
Here, we have,
To solve the inequality g - 3 > 6, we will isolate the variable g.
Adding 3 to both sides of the inequality, we get:
g - 3 + 3 > 6 + 3
Simplifying, we have:
g > 9
So, the solution to the inequality is g > 9.
To graph the solution on a number line, we represent all values of g that are greater than 9. We can denote this by shading the region to the right of 9 on the number line.
Here's a graphical representation:
------------------------>
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 ...
o
|
|
|
In this representation, the open circle (o) indicates that 9 itself is not included in the solution since the inequality is strict (g > 9). The shaded region represents all values of g that are greater than 9.
Please note that the number line extends indefinitely in both directions, but only the relevant portion is shown here for clarity.
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A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the other corner by running diagonally across the field. What is the distance from one corner of the field to the other corner
Answer: the distance from one corner of the field to the other corner is 136 m
Step-by-step explanation:
The distance from one corner to the other corner is the diagonal and it
divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 110² + 80²
d² = 12100 + 6400 = 18500
d = √18500
d = 136 meters
The distance from one corner of the football field to the other corner (the diagonal) is approximately 136.08 meters.
To find the distance from one corner of the football field to the other corner (the diagonal), we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the width of the football field is one side of the right triangle, the length of the football field is the other side, and the diagonal (the distance we want to find) is the hypotenuse.
According to the Pythagorean theorem:
[tex]\[ d^2 = w^2 + l^2 \][/tex]
[tex]\[ d^2 = 80^2 + 110^2 \][/tex]
[tex]\[ d^2 = 18500 \][/tex]
To find d, we take the square root of both sides:
[tex]\[ d = \sqrt{18500} \][/tex]
[tex]\[ d \approx 136.08 \][/tex]
Therefore, the distance from one corner of the football field to the other corner (the diagonal) is approximately 136.08 meters.
What are the x-intercept of the graph y=(x-2)(x-6)
Answer:
x =2 and x = 6 are the x-intercepts
Step-by-step explanation:
The x -interepts mean the value of x when y=0
so
y = 0 = (x - 2)(x - 6)
Here if we solve for x, we solve the x-intercepts.
0 = (x - 2) or 0 = (x - 6)
x = 2 or x = 6
King kyle orders the construction of his future mausoleum ( a fancy tomb) so that people never forget his awesomeness. His architect draws a floor plan depicting the mausoleum as a rectangle measuring 35 m by 40 m.
Answer:
okay so,
so do a 16 by 14 rectangle it should be good
sry if its wrong i tried but i hope it helped ;0
The problem is regarding the calculation of the area of a rectangle, which in this case is a floor plan of a mausoleum. The area is calculated by multiplying the length and the width of the rectangle, yielding an area of 1400 square meters.
Explanation:The problem provided is a concept of geometry and the specific topic is calculating the area of a rectangle. The area of a rectangle is calculated by multiplying its length and width. In the given problem, the length of the rectangle is 40 m and the width is 35 m.
To find the area, we perform the multiplication: Area = length x width = 40 m x 35 m = 1400 m². Therefore, the floor area of King Kyle's mausoleum, according to the architect's drawings, is 1400 square meters.
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Some of the steps for completing the square to solve
x2 + 5x = 2 are shown.
x2 + 5x = 2
x2 + 5x + (StartFraction 5 Over 2 EndFraction) squared = 2 + (StartFraction 5 Over 2 EndFraction) squared
(x + StartFraction 5 Over 2 EndFraction) squared = StartFraction 33 Over 4 EndFraction
Which are solutions of x2 + 5x = 2? Check all that apply.
StartFraction 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 4 EndFraction
StartFraction 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction negative 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction negative 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction
Answer:
D and E
Step-by-step explanation:
StartFraction negative 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction negative 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction
❌ A.
❌ B.
❌ C.
✔ D.
✔ E.
A long-distance company charges a $5 per month line fee plus $0.25 per minute for long distance phone calls. Write and solve an equation to determine how many minutes someone spent on long distance calls if their bill is $26.
Answer:
84 minutes (1 hr and 24 mins)
Step-by-step explanation:
If the bill is $26, then that is what the equation will be equal to.$5 fee will be added$0.25 is 'per minute' so this is the number with the [tex]x[/tex]Let's put it together:
26 = 5 + .25[tex]x[/tex]
Subtract the 5...
21 = .25[tex]x[/tex]
Divide...
[tex]\frac{21}{.25} = 84[/tex]
)) What is the greatest common factor of 25 and 17?
Submit
Answer:
1
Step-by-step explanation:
[tex]17 = 1 \times 17 \\ 25 = 1 \times 5 \times 5 \\ common \: factor = 1 \\ gcf = 1[/tex]
The turnout for a game is expected to reach 80,000 fans, of which 57% are expected to drive. An average of three fans come in each vehicle. 2,000 vehicles park in satellite lots. The rest of the vehicles parked in the stadium lot. How many vehicles parked in the stadium lot?(Round up.)
Answer: 13,200 vehicles
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the number of people that will drive to the stadium, by multiplying the total number of fans (80,000) by the percentage in decimal form (57/100).
80,000 x (57/100) = 45,600
Since an average of three fans come in each vehicle, we have to divide the result by 3 to obtain the number of vehicles:
45,600/3 =15,200
Subtract the number of cars that parked in satellite lots.
15,200-2,000 = 13,200 vehicles
Answer: 13,200 rounded up to 13,000.
Step-by-step explanation:
The turnout for a game is expected to reach 80,000 fans, out of which 57% are expected to drive. The number of fans expected to drive will be:
= 57% of 80,000
= 0.57 × 80000
= 45600
An average of three fans come in each vehicle. The number of cars will be:
= 45600 ÷ 3
= 15200 cars
2,000 vehicles park in satellite lots and the rest of the vehicles parked in the stadium lot. Since there are 15200 cars, the number of cars in the stadium lot will be:
= 15,200 - 2,000
= 13, 200
Rounding up 13,200 will give 13,000.
What shape is the base of a
Cylinder?
Answer:
a circle
Step-by-step explanation:
hope this helps
Answer:
A Circle!
Step-by-step explanation: