Answer:
12/3 = 8/x
x=2
Step-by-step explanation:
A standard bathtub holds 70 gallons of water. On average, it takes 7 and 1/2 minutes to drain a bathtub. How many gallons of water go down the drain each minute?
Answer:
9[tex]\frac{1}{3}[/tex] gallons of water
Step-by-step explanation:
To find how many gallons of water go down each minute, divide the total number of gallons of water by the number of minutes it takes to drain:
70/7.5
= 9[tex]\frac{1}{3}[/tex]
So, 9[tex]\frac{1}{3}[/tex] gallons of water go down the drain each minute
Answer:
9 1/3 gallons go down the tub
Step-by-step explanation:
H=-16t^2+122t+5 where h is height in feet and t is time in seconds. How long will it take the baseball to hit the ground? h=-16t^2+162t+0.2 where h is height in feet and t is time in seconds. How long will it take the golf ball to hit the ground?
Answer:
[tex]t= 7.67[/tex]
[tex]t= 10.13s[/tex]
Step-by-step explanation:
Solving (a):
[tex]H=-16t^2+122t+5[/tex]
Required: Time to hit the ground
This means that H = 0
So, we have:
[tex]0=-16t^2+122t+5[/tex]
Rewrite as:
[tex]16t^2-122t-5=0[/tex]
Solve for t using:
[tex]t= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]t= \frac{122 \± \sqrt{(-122)^2 - 4*16*-5}}{2*16}[/tex]
[tex]t= \frac{122 \± \sqrt{15204}}{2*16}[/tex]
[tex]t= \frac{122 \± 123.3}{32}[/tex]
Split:
[tex]t= \frac{122 + 123.3}{32}[/tex] or [tex]t= \frac{122 - 123.3}{32}[/tex]
[tex]t= \frac{245.3}{32}[/tex] or [tex]t= \frac{-1.3}{32}[/tex]
[tex]t= 7.67[/tex] or [tex]t= -0.0406[/tex]
Time can not be negative. so: [tex]t= 7.67[/tex]
Solving (b):
[tex]h=-16t^2+162t+0.2[/tex]
Required: Time to hit the ground
This means that h = 0
[tex]0=-16t^2+162t+0.2[/tex]
Rewrite as:
[tex]16t^2-162t-0.2= 0[/tex]
Solve for t using:
[tex]t= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]t= \frac{162 \± \sqrt{(-162)^2 - 4*16*-0.2}}{2*16}[/tex]
[tex]t= \frac{162 \± \sqrt{26256.8}}{32}[/tex]
[tex]t= \frac{162 \± 162.04}{32}[/tex]
[tex]t= \frac{162 + 162.04}{32}[/tex] or [tex]t= \frac{162 - 162.04}{32}[/tex]
[tex]t= \frac{324.04}{32}[/tex] or [tex]t= \frac{-0.04}{32}[/tex]
Time can not be negative. So:
[tex]t= \frac{324.04}{32}[/tex]
[tex]t= 10.13s[/tex]
Please help me with this
1.1
Consider the following pattern:
87; 84; 81 ...
1.1.1 Find an expression for the nth term of the
sequence
(3)
Answer:
The nth term of the arithmetic sequence is;
90 - 3n
Step-by-step explanation:
Here, we want to find an expression for the nth term of the sequence
Mathematically, let us determine the type of sequence
As we can see;
84 - 87 = 81-84 = -3
The difference between the terms is a constant; this means that the sequence is arithmetic
The nth term of an arithmetic sequence can be represented by;
Tn = a + (n-1)d
in this case, a is the first term of the sequence = 87
d is the common difference of the sequence = -3
The nth term is thus;
Tn = 87 + (n-1)-3
Tn = 87 - 3n + 3
Tn = 87 + 3 - 3n
Tn = 90 - 3n
Consider △XYZ in the figure below.
The perpendicular bisectors of its sides are XG, YG, and ZG. They meet at a single point G . (In other words, G is the incenter of △XYZ.)
Suppose EG = 20, ZG = 25, and m
Find the following measures.
Note that the figure is not drawn to scale.
Answer:
m<DXF=52°
m<DXF=52°m<DYG=94°
m<DXF=52°m<DYG=94m<DG=20°
Step-by-step explanation:
hope it helps...
have a great day!!
Which set of ordered pairs does not represent a function?
A\{(5, -1), (-3, -3), (8, 4), (4, -3)\}{(5,−1),(−3,−3),(8,4),(4,−3)}
B\{(-6, -7), (-3, -3), (-2, -8), (-6, 4)\}{(−6,−7),(−3,−3),(−2,−8),(−6,4)}
C\{(-2, 1), (-8, 0), (6, 7), (8, 7)\}{(−2,1),(−8,0),(6,7),(8,7)}
D\{(5, -3), (-6, 2), (-5, 3), (1, 2)\}{(5,−3),(−6,2),(−5,3),(1,2)}
Answer:
option B
Step-by-step explanation:
you cannot have one input and 2 outputs.
(-6,-7) and (-6,4), you have 2 Y for 1 X. therefore is not a fuction
PLEASE HELP ASAP!!!!!
A committee of eight people randomly chooses 3 people in order to be president, vice president and Treasurer in how many ways can the officers be chosen A 363 B 412 C 336 D 396
Please select the best answer from the choices provided A B C or D (Edge)
Answer:
C. 336 ways
Step-by-step explanation:
Plz mark as brainliest! :D
[Will Give Brainliest, please help! ♥] The South Memorial School is designing a new playground. There will be a walkway that diagonally crosses the square playground. The walkway is 55 meters long.
I | Include a sketch of the playground and find the length of one side. Round your answer to the nearest 10th. (I've already completed the sketch, as you can see!)
II | Use your answer from Part I to find the perimeter of the playground. Round your answer to the nearest 10th. Show your work.
Helping me understand or giving me the answer would help me out a lot! THank you :]
Answer:
Perimeter = 155.6 m
Step-by-step explanation:
Notice from the diagram, that the 55 meters long diagonal is the hypotenuse of a right triangle who has equal legs. Then we can use Pythagoras to find the length of the equal legs of the square:
[tex]hyp^2 = leg_1^2 + leg_2^2\\55^2 = 2\,*\,leg^2\\3025=2*leg^2\\leg=\sqrt{\frac{3025}{2} } \\leg\approx 38.89 \,\,meters[/tex]
Therefore, the perimeter of the square playground is 4 times this value:
Perimeter = 38.89 m *4 = 155.56 m
Since they want the answer rounded to the nearest 10th, we write:
Perimeter = 155.6 m
Answer: I. 38.9 II. 155.6
Step-by-step explanation:
So we are working on 2 isosceles right triangles formed by the diagonal and two sides as it has two sides of the same length and two 45 degree angles. The two equal sides of an isosceles triangle are known as 'legs' whereas the third or unequal side is known as the 'hypotenuse'
The sides of isosceles right triangles have a peculiar relationship, 1:1:√2, and one way to find the sides is to use the "pattern formula," which only applies to these triangles:
Hypotenuse= Leg*√2
We don't know the answer to the legs yet, so we have to divide both sides by √2.
L= H/√t2= 1/2H*√2. Since our hypotenuse is 55:
L= 1/2*55*√2= (55*1)/2*√2= 27.5*√2
The square root of 2 is 1.414, so multiply:
27.5*1.414= 38.9 (the length of each side.)
If you want to simplify the equation a little more, here is another way of writing it;
sides length²*2=diagonal length².
Since we know each side length, all we have to do to find the perimeter of the square is to:
Perimeter = 4*side
155.6 = 4*38.9
Hope that can help!
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?
Answer:
Width = 15 feet
Length = 45 feet
Step-by-step explanation:
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?
Perimeter of a rectangle = 2L + 2W
The length is 3 times the width.
L = Length = 3W
W = Width
P = 120 ft
Hence:
120 = 2L + 2W
120 = 2(3W) + 2W
120 = 6W + 2W
120 = 8W
W = 120/8
W = 15 feet
Solving for Length
L = 3W
L = 3 × 15 feet
L = 45 feet
Therefore, the dimensions of your very own dog park is
Width = 15 feet
Length = 45 feet
identify 2 possible reasons for unemployment
Answer:
Pandemic, Loss In family
Step-by-step explanation:
The global pandemic has really hit small businesses and working Americans, which has caused millions of Americans to lose their jobs, but also small businesses to go out of business. Also during the pandemi, thousands of people have loved their loved ones to the pandemic, which can also lead to them not showing up to work, which could make the employed citize lose their job.
(Hope this helps)
Yours Truely, TheAnimeCatUwU
Which statement is true about the data sets of two sets of quiz scores?
Sample A: 5, 5, 5, 5, 5 Sample B: 2, 2, 2, 2, 17
Select one:
Samples A and B have the same mean, but Sample A has a smaller median than Sample B.
Samples A and B have the same median, but Sample A has a larger mean than Sample B.
Samples A and B have the same median, but Sample A has a smaller mean than Sample B.
Samples A and B have the same mean, but Sample A has a larger median than Sample B.
Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.
Step-by-step explanation:
The median is the middle number in the sequence.
To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.
The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.
Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.
What are measures of central tendency?The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.
Given the data sets of two sets of quiz scores,
Sample A = 5, 5, 5, 5, 5
sample B = 2, 2, 2, 2, 17
mean is the average of total samples,
mean of sample A = (5 + 5+ 5 + 5 + 5 )/5
mean of sample A = 5
Mean of sample B = (2 + 2 + 2+ 2 + 17)/5
mean of sample B = 5
since the mean of both sample are same,
median is the central digit of sets
median of A is 5 and the median of B is 2,
so the median of sample A is larger than sample B.
Hence option D is correct.
Learn more about central tendency;
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Please help witch one is right
Answer: Ted
Step-by-step explanation:
URGENT: find the volume of the shapes
Answer:
First one should be 309 second one should be 624 I may be wrong though since I haven't done volume in years
Step-by-step explanation:
:)
Answer:
A is 381 for the whole thing
B is 792 i think i am not one hundred percent sure on this one but it should be right
Step-by-step explanation:
during the first hour of the bake sale christhopher sold $25 worth of goods
Answer:
is that all
Step-by-step explanation:
Answer: (1) The average price for the items sold during that hour was $1.42 --> 1.30c+1.50bc+b=1.421.30c+1.50bc+b=1.42 --> 8b=12c8b=12c --> cb=23cb=23. Sufficient.
(2) The total price for all the goods sold was $14.20. This statement is a bit trickier: 1.30c+1.50b=14.201.30c+1.50b=14.20 --> 13c+15b=14213c+15b=142. Since c and b must be integers, then we should check whether this equation has one or more than one positive integer solutions: 15b=142−13c15b=142−13c --> 142 minus multiple of 13 must be a multiple of 15: only c=4 and b=6 satisfies the equation, thus cb=46cb=46. Sufficient.
Step-by-step explanation:
(1)
1.30c+1.50bc+b=1.421.30c+1.50bc+b=1.42
1.30c+1.50b=1.42(c+b)1.30c+1.50b=1.42(c+b)
1.30c+1.50b=1.42c+1.42b1.30c+1.50b=1.42c+1.42b
0.08b=0.12c0.08b=0.12c
cb=0.080.12cb=0.080.12
cb=23cb=23
Sufficient
(2)
1.30c+1.50b=14.201.30c+1.50b=14.20
the only possible solution is:
1.30(4)+1.50(6)=14.201.30(4)+1.50(6)=14.20
Ratio is 4:6 or 2:3
Sufficient
Answer is D
20 is 80 percent of what number?
Answer:
20 is 80 of 25
Explanation:
20x10/8=25
A percentage is a way to describe a part of a whole. 20 is 80% of 25.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the number be x. Therefore, we can write,
80% of x = 20
0.80 × x = 20
x = 20/0.8
x = 25
Hence, 20 is 80% of 25.
Learn more about Percentages:
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Can someone please help
Answer:
i got no clue
Step-by-step explanation:
ignc
Represente em uma reta numérica os conjuntos indicados abaixo (cada conjunto deve ser representado em uma reta numérica diferente). a) [1,2] [3, 17/2].
TURMA...
b) (-1, 1) U [1, +).
c) (-2, 3] n (3, 6).
d) [-3, -1) n -2, +0).
i just put a 100 point question and offered to mark brainliest no one anwser me
Answer:
what is the question?
Step-by-step explanation:
PLEASE HELP ITS URGENT!!!!!!
Answer:
LCD-3x(x+2)
Final answer- x2-4x+4/ 3x2+6x
Step-by-step explanation:
okay so LCD is 3*x*(x+2)
= 3x(x+2)
so multiyling the fist expresion by x+2 and the second by x we get
2x+4+ x2-6x/ 3x(x+2)
= so
x2-4x+4/3x(x+2)
x2-4x+4/ 3x2+6x
if my answer helps please mark as brainliest.
A cube. The top face has points A, G, E, F and the bottom face has points B, H, D, C. The diagonal from A to E is StartRoot 288 EndRoot inches and the diagonal from A to D is StartRoot 432 EndRoot inches.
What is the length of ED in the given cube? Round to the nearest tenth of an inch if necessary.
in.
Answer:
The answer to this question is 12 inches.
Step-by-step explanation:
This is because 288 + b^2 = 432. After further calculations you can conclude that b = 12.
Answer:
12 inches
Step-by-step explanation:
;)
HELP ASAP
Classic Cars paid €9000 for a vintage Ferrari and sold for €11,250. What percentage profit did they make?
Answer:770000
Step-by-step explanation:
That how much they made
Answer:
€8988.75
Step-by-step My bad that's not the answer
A rectangular playground has a width of 540
feet and a length of 810 feet. Martina makes a
scale model of the playground using a scale of
1 cm:7.5 ft.
What are the dimensions of Martina's scale
model?
Answer: 72cm by 108cm
Step-by-step explanation:
basically, take your numbers so, 4 / 30 in a fraction form, then take a random letter, i'm using n and put n / 540 (this also will be the same for 810!)
n x 30 = 30n, 4 x 540 = 2160, divide that by 30 (which is 72) then do the SAME process but with 810 (which then you get 108) and BAM you got your answer. good luck!
Hi, I am a boy who is 15 using my sisters account, thats why it says faith, my name is Alex.
Answer: cool
Step-by-step explanation:
Answer: ok
Step-by-step explanation: ok
Find the range of the data. 62, 58, 67, 57, 59, 70, 69,61 The range is
Answer:
the range is 13
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{The word range simply means that you have to find the DIFFERENCE}\\\large\text{between the LARGEST number and the SMALLEST number.}\\\large\text{The word difference simply means SUBTRACT.}\\\\\large\text{The \underline{largest number}}\rightarrow\large\text{\bf 70}\\\large\text{The \underline{smallest number}}\rightarrow\large\text{\bf 57}\\\\\\\\\ \huge\text{70 - 57 = \bf 13}[/tex]
[tex]\boxed{\boxed{\large\text{Therefore, your \underline{answer} is: \huge\bf {13}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A biologist estimates that there are 1,800 fish in a quarry. To test this estimate, a student caught 150 fish from the quarry, tagged them, and released them. A few days later, the student caught 50 fish and noted that 4 were tagged. Determine whether the biologist's estimate is likely to be accurate.
Answer:
hdmi po ung sagot
Step-by-step explanation:
Yan po sagot ko po hope it help u alot xDAnswer:
600
Step-by-step explanation:
1800x50=90,000
90,000 divdivide by 150
=600
PLEASE HELP!! I NEED MATHEMATICIANS ON THIS POST!!
Sami plans on doing a total of 60 pull-ups, but she only completes 40% of her goal. How many pull-ups has Sami completed? Use the tape diagram to solve.
Answer:
60 * 40% = 24
Step-by-step explanation:
just use a calculator
WILL GIVE BRAINLIEST!
A soil supplement that weighs 16 lb contains iron, potassium, and mulch. The supplement contains thirteen times as much mulch as iron and twice as much potassium as iron. Find the amount of mulch in the soil supplement. lb
Answer:
The answer is below
Step-by-step explanation:
Let x represent the amount of iron, y represent the amount of potassium and z represent the amount of mulch.
Since the supplement weighs 16 lb, hence:
x + y + z = 16 (1)
Also supplement contains thirteen times as much mulch as iron. Therefore:
x = 13z
x - 13z = 0 (2)
The supplement also has twice as much potassium as iron, hence:
x = 2y
x - 2y = 0 (3)
solving equations 1, 2 and 3 simultaneously gives:
x = 10.1 lb, y = 5.1 lb, z = 0.8 lb
This means that the soil supplement contains 0.8 lb of mulch
are the ratios 4:1 and 20:5 equivalent? and if they are how are they equivalent and if they aren't why aren't they equivalent??!!
Answer:
They are equivalent.
Step-by-step explanation:
Assume that y varies directly with x. If y = 17 when x = –17, find y when x = –4.
answer =
y = kx ⇒
k = y/x = 5/7
I will give you branilest!
Solve 1/3(x-10)= -4
Answer:
x = -2
Step-by-step explanation:
Multiply both sides by 3 to get rid of the fraction:
x - 10 = -12
Add 10 to both sides:
x = -2