Answer:
6:1
Step-by-step explanation:
The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .
A swimming pool started with 24 gallons
of water. It is filled with 2,000 gallons
per hour. If there are now 4,850
gallons of water in the swimming pool,
how many hours has it been filling up
with water?
Answer:
3 hours
Step-by-step explanation:
each hour is 2,000 gallons filled up 1 hour = 2,000
2 hours = 4,000
3 hours = 6,000or 4,850
If the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.
How many hours has the swimming pool been filling up with water?Given that;
24 gallons of water in the pool to start withThe swimming pool is filled with 2,000 gallons per hourTime taking in filling up 4,850 gallons.The pool is filled with 2,000 gallons in 1 hour
To fill with 4850 gallons, we require x hours
Cross multiply, hence;
x = ( 1hr × 4850 gallons ) / 2,000 gallons
x = 4850hrs / 2000
x = 2.4 hours
Therefore, if the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.
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is (3,2) , (4,6) , (5,8) a function
8. The sum of two numbers is 52. Find the larger number if their ratio is 1: 3.
Answer:
39
Step-by-step explanation:
Lets solve for x:
We know the ratio is 1:3
1x+3x = 52
4x = 52
x = 13
Since the ratio is 1:3:
13(3) = 39
13:39
Which makes 39 the larger number
If the cube shown is 4 inches on all sides, what is the length of the diagonal, x, of the cube?
A) 3 square root 2 inches.
B) 3 square root 3 inches.
C) 3 square root 4 inches.
D) 4 square root 3 inches.
Answer:
Step-by-step explanation:
Correct answer:
3√3
Explanation:
General formula for the diagonal of a cube if each side of the cube = s
Use Pythagorean Theorem to get the diagonal across the base:
s2 + s2 = h2
And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:
h2 + s2 = d2
s2 + s2 + s2 = d2
3 * s2 = d2
d = √ (3 * s2) = s √3
So, if s = 3 then the answer is 3√3
C D
U
Refer to the Venn diagram for the following questions.
9
What would best describe the universal set U?
A
B
6
6
3
What would best describe set A?
5
07
2
00
8
What would best describe Au B?
7
4
What would best describe An B?
Intro
<
Done
Answer:
What would best describe the universal set U?
positive integers less than 10
What would best describe set A?
prime numbers in U
What would best describe A ∪ B?
numbers in U that are prime or even
What would best describe A ⋂ B?
even prime numbers in U
Hope it helps!
The universal set is the set of all natural numbers less than or equal to 9
The description of the universal set UThe sets are given as:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
Number 1 and 9 are outside the circles.
The universal set is the collection of all elements in the set.
i.e.
U = {1,2,3,4......9}
Hence, the universal set is the set of all natural numbers less than or equal to 9
The description of set AWe have:
A = {2, 3, 7, 5}
The elements of set A are prime numbers between 2 and 7 (inclusive)
Hence, the set A is the set of all prime numbers from 2 to 7
The description of set A u BWe have:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
The elements of set A u B is all elements in both sets.
So, we have:
A u B = {2,3,4,5,6,7,8}
Hence, the set A u B is the set of all natural numbers from 2 to 8
The description of set A n BWe have:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
The elements of set A n B is the common elements in both sets.
So, we have:
A n B = {2}
Hence, the set A n B is 2
Read more about Venn diagrams at:
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What times -1/2 x what = -20?
Answer:
40
Step-by-step explanation:
Let the number be y
-1/2 × y = -20
y = -20 ÷ -1/2
y = 20 × 2
y = 40
What’s the slope or fraction?
How did the Twenty-fourth Amendment to the Constitution affect African Americans?
A. By defining citizenship, it meant all African Americans were entitled to due process.
B. By allowing citizens to directly elect senators, it gave African Americans a greater voice in the government.
C. By banning slavery, it meant millions of African Americans were free from bondage.
D. By eliminating poll taxes, it meant more African Americans could vote.
Answer:
The answer is D,..................
Step-by-step explanation:
D
Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answer:
16 players can be brought to the tournament. The equation is written within my step-by-step explanation.
Step-by-step explanation:
Variable p = number of players
Set up an equation:
974.50 + 60.75p = 1946.50
Isolate variable p:
60.75p = 972
Divide:
p = 16
Check your work:
974.50 + 60.75(16) = 1946.50
974.50 + 972 = 1946.50
1946.50 = 1946.50
A company is considering purchasing the mineral rights to two different mountains. The probability that it will purchase the mineral rights to the first mountain is 0.55. The probability that it will purchase the mineral rights to the second mountain is 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, what is the probability that it will purchase the mineral rights to exactly one of the two mountains?
a. 0.4
b. 0.45
c. 0.51
d. 0.49
Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:
c. 0.51
If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, these following two events result in the rights of exactly one of the two mountains being bought:
First bought(0.55 probability), second not(0.6 probability).First not bought(0.45 probability), second bought(0.4 probability).Hence:
[tex]p = 0.55(0.6) + 0.45(0.4) = 0.51[/tex]
Thus, option c is correct.
A similar problem is given at https://brainly.com/question/24174994
School OL ROC below
School of Rock
Guitar Bass Drums Keyboard Total
6th grade 13 10 17
20
60
7th Grade
14
17
11
10
8th Grade
18
12
17
16
63
Total
45
51
42
175
What percent of the 7th graders in the School of Rock play keyboard? Round your
answer to the nearest whole number percent,
Submit Anwwer
0
Using the percentage concept, it is found that 19% of the 7th graders in the School of Rock play keyboard.
The percentage of an amount a relative to another amount b is given by:
[tex]P = 100\frac{a}{b}[/tex]
From the table given:
There are 14 + 17 + 11 + 10 = 52 7th graders, hence, [tex]b = 52[/tex]Of those, 10 play the keyboard, hence [tex]a = 10[/tex]Then
[tex]P = 100\frac{a}{b} = 100\frac{10}{52} = 19[/tex]
19% of the 7th graders in the School of Rock play keyboard.
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1
message
Two friends went bowling. One friend scored 130 points and the other friend scored 83 points. How does the value represented by the 3 in 130 compare to the value represented by the 3 in 83?
It is 3 times greater
It is 10 times greater
It is 47 times greater
It is 50 times greater
Answer:
10x greater
Step-by-step explanation:
Two friends let’s say their names are
Molly Polly
130 points 83 points
Molly‘s 3 in her 130 is is the tens place
here a chart: ones Tens. Hundreds. thousands.
1265 1265. 1265. 1265
now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater
hope this helped :3
:3 byeeeeeeeeee
What is the value of the expression
4(2+y)
2y-z when x=2 and y=4
A.4
B.8/3
C.12/5
4(2+y)2y-z when x=2 and y=4
4(2+4)2×4-z
4(6)(8-z)
(4×6)(-8z)
24-8z
z=24÷8
8/3
Therefore 8/3 is last answer .
The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [4(2 + y)] / (2y - x)
The value of the expression at x = 2 and y = 4 will be given as,
⇒ [4(2 + 4)] / [2(4) - 2]
Simplify the equation, then we have
⇒ (4 × 6) / (8 - 2)
⇒ 24 / 6
⇒ 4
The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.
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Choose the steeper line.
y=-6x+1
or
y=-3x-2
Answer: y=-3x-2
Step-by-step explanation:
Slope is rise over run. The slope of y=-3x-2 is -3, which is 1 down/up and 3 to the right/left. The slope of y=-6x+1 is -6 which is 1 down/ up and 6 to the right/left. When the graph is going 3 steps to the right/left, it is steeper than when its going 6 steps to the right/left.
Find the value of x-5 when x= 15
Answer:
15 - 5 = 10 wow that was so hard
Answer:
the awnser is 10
Step-by-step explanation:
x=15 so
15-5=10
The figures in the oval on the left are parallelograms. The figures in the oval on
the right have sides that are equal. In which section should a rhombus be
placed?
A
Parallelograms
Equilateral
B
С
square
rectangle
D
regular
pentagon
section D
section A
1) section c
section B
Answer:
The answer is C
Step-by-step explanation:
Solve for x, then find each angle measure
Answer:
x=13
Q=30
P=126
R=24
Step-by-step explanation:
To find x put them all into an equation like this:
(4x-22)+(10x-4)+(x+11)=180 (we get 180 because all three angles of any triangle always equal 180)
calculate and you'll get x=13.
then to find each angle just put 13 in place of x
4(13)-22=30
10(13)-4=126
(13)+11=24
Help plzzz I am not good at this!!!
Answer:
-5 (5 red chips)10 (10 yellow chips)-8 (8 red chips)Step-by-step explanation:
To complete the 1st model you have to put 5 red chips
To complete the 2nd model you have to put 10 yellow chips
To complete the 3rd model you have to put 8 red chips
But to understand why we are putting a certain number of yellow or red chips
we have to understand the zero pairs method meaning one positive and one negative zero out each other
Will give BRAINLIEST if right!
Which shows a dilation of y = x?
A.
y = x + 5
B.
y = x - 5
C.
y = -x
D.
y = 5x
solve 3+x>-9 A) x >3 B) x > -6 C) x>-3 x > D) x> -3
Answer: the answer should be x>-12
Step-by-step explanation:
3+x>-9
x>-9-3
X>-12
there are 364 people in town for a conference. They have to go from the airport to the hotel and travel 12 people in a van. How many vans are needed?
Total number of people = 364
Number of people in 1 van = 12
Number of vans required = ?
Number of vans required = 364 / 12
= 30.33
But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.
=》Answer = option C. 31
______
RainbowSalt2222 ☔
help me please!!!!!! 20 points!
Answer:
Step-by-step explanation:
2x = x + 40
2x - x = x - x + 40
x = 40
∠I = ∠Q = 33°
∠H = ∠P = 80°
∠J = ∠R = 67°
A computer virus infects files very quickly. The number of files triples every minute. After the first minute, five files are infected. (pls answer)
Options in the pic
Answer:
C
Step-by-step explanation:
The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!
In the year 2000, the population of Florida was 16 million people. Since then, the population has grown at least 2% each year. How many years will it be before the state's population is at least 30 million people? Round to the nearest tenth of a year.
Using an exponential function, it is found that it will take 31.7 years for the state's population to be of at least 30 million people.
An increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem:
The initial population is of 16 million people, hence [tex]A(0) = 16[/tex].The growth rate is of 2%, hence [tex]r = 0.02[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 16(1 + 0.02)^t[/tex]
[tex]A(t) = 16(1.02)^t[/tex]
It will be 30 million after t years, for which A(t) = 30, hence:
[tex]A(t) = 16(1.02)^t[/tex]
[tex]30 = 16(1.02)^t[/tex]
[tex](1.02)^t = \frac{30}{16}[/tex]
[tex](1.02)^t = 1.875[/tex]
[tex]\log{(1.02)^t} = \log{1.875}[/tex]
[tex]t\log{1.02} = \log{1.875}[/tex]
[tex]t = \frac{\log{1.875}}{\log{1.02}}[/tex]
[tex]t = 31.7[/tex]
It will take 31.7 years for the state's population to be of at least 30 million people.
A similar problem is given at https://brainly.com/question/14773454
is every rhombus a rectangle
Answer:
No
Step-by-step explanation:
Some rhombus doesn’t have all 90 degrees angles and that is an requirement for rectangles.
Sofia planted a maple tree sapling that was 5.5 inches tall. The tree grew 10 inches each year. Write an equation that shows how the sapling's height in inches, y, depends on the number of years since it was planted, X. Y =
Answer:
y= (10*x)+5.5
Step-by-step explanation:
B)
Answer:
y = 10x + 5.5
Step-by-step explanation:
We can write our equation in slope-intercept form, which looks like y = mx + b. "m" is our growth rate, and "b" is our y-intercept, or starting value.
So, let's fill in "m" first. What is our growth rate? Well, 10 inches per year. So, we can replace "m" with 10: y = 10x + b. But we have to figure out which number to replace "b" with. In this scenario, Sofia planted the maple tree when it was already 5.5 inches tall. So, when it grows 10 inches per year, the inches are being added to that original value. 5.5 is our starting value: y = 10x + 5.5. And that's our final equation.
Hopefully that's helpful! :)
The length, breadth and height of a cuboid are in the ratio 6:3:5. If the total surface area is 504cm2, calculate area of 4 walls
please answer quick (i will mark as brainliest)
thank u
Step-by-step explanation:
metallic when has is equipment death of amiloride open interval a b payment to see payment payment details
What are the solutions to the equation |X – 3|= 14?
x= 11 only
Ox= -11 and x = 17
x= 17 only
x= -11 and x=11
Answer:
{-11,17}
Step-by-step explanation:
|X – 3|= 14
There are two solutions to an absolute value, one positive and one negative
x-3 = 14 and x-3 = -14
Add 3 to all sides
x-3+3 =14+3 x-3+3 = -14+3
x = 17 x = -11
x = {-11,17}
5y - 31
Р
6x - 2y
2y + 5
4x + 4
T
R
S
7x - 17
you take each other you do multiplication and you have answer
Peter watches 345 more American movies than Chinese movies. the ratio of Chinese movies to American movies is 4:7 . how many American movies does Peter watch?
Peter watches 805 American movies and 460 Chinese movies.
Let x represent the number of American movies and y represent the number of Chinese movies and let z represent the total number of movies.
Since he watches 345 more American movies than Chinese movies. Hence:
x = y + 345
x - y = 345 (1)
Also:
x + y = z
x + y - z = 0 (2)
The ratio of Chinese movies to American movies is 4:7. Hence:
(4/11)z = y
-y + (4/11)z = 0 (3)
Solving equations 1, 2, and 3, simultaneously gives:
x = 805, y = 460 and z = 1265
Hence, Peter watches 805 American movies and 460 Chinese movies.
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