Answer:
15 3-gallon buckets of water will fill the cistern
Step-by-step explanation:
Eighteen 2.5- gallon buckets are needed to fill a cistern of water
This means, 2.5 gallon buckets in 18 places
2.5 gallons × 18 = 1 cistern of water
45 gallons = 1 cistern of water
How many 3-gallon buckets of water will fill the cistern.
Number of 3-gallon bucket in a cistern = Total gallons of bucket in one cistern / 3-gallon buckets
= 45 gallons / 3-gallon buckets
= 15
Number of 3-gallon bucket in a cistern = 15
15 3-gallon buckets of water will fill the cistern
(THIS IS A TEST I NEED HELP)
In the rectangular prism, PQ is the diagonal. Find the length of
PQ given PR = 7, RS = 4, and QS = 4.
A 4
B 9
C 12
D 15
Answer:
Option (B)
Step-by-step explanation:
Length of PR = 4
RS = 4
QS = 4
For the length of PT,
PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]
PT² = QS² + PR² [Since, RT ≅ QS]
PT² = 4² + 7²
PT² = 16 + 49
PT² = 65
Now for the length of PQ,
PQ² = QT² + PT²
PQ² = RS² + PT² [Since, QT ≅ RS]
PQ² = 4² + 65
PQ² = 16 + 65
PQ = √81
PQ = 9
Therefore, length of diagonal PQ is 9 units.
Option (B) will be the answer.
PLZ help me with this :(
Part 1: Simplify √250
Part 2: Classify the number above as rational or irrational
Level 3 (Proficient: 85%)
Part 1: Simplify √150x*5
Part 2: Is the follow expression rational or irrational and why? 2√4+7
Level 4 (Distinguished: 100%)
Part 1: Simplify 13√750x*5 y*8
Part 2: Create two unique expressions each involving 1 square root and at least 1 operation (adding, subtracting, multiplying, dividing). Make 1 results in a rational number and the other result in an irrational number. Explain your reasoning for both.
Explanation:
Level 2
Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.
Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.
Level 3
Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.
Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.
Level 4
Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.
Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.
PLEASE HELP ASAP!
A cheese wheel has a circumference of 18π in and an area of 81π in2. A sector of the wheel with an arc length of 3π in is removed. What is the area of this sector?
a) 6π in2
b) 486 in2
c) 13.5π in2
d) π6 in2
Answer:
13.5π in2
Step-by-step explanation:
just took the quick check
Please help me thanks please
Answer:
Missing side is 15 in
area 150 in^2
Step-by-step explanation:
x = √ (25^2 - 20^2)
x = √ 625 - 400
x = √ 225
x = 15
area = bh/2
area = (20 * 15) /2
area = 300 / 2
area = 150
I think it's 500 but maybe Im wrong bc I keep editing my answer
Jordan has traveled 255 miles out of 340 miles on a trip. What percent of the total distance has he traveled?
A. 73%
B. 82%
C.75%
D. 70%
Answer:
Step-by-step explanation:
jordan traveled 255 miles out of 340 miles
340 miles.........................100 %
255 miles.......................... ?
255*100=2500/340=73%
See attachment for math work and answer.
Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B.
Answer:
The scale factor is 1/2
Step-by-step explanation:
I have a different one but it was supposed to be 1/4
Brenda took her dog to the veterinarian for an exam. The doctor told Brenda her dog needed to lose weight. Her dog weighed 55 pounds during this visit. The doctor suggested that her dog 45 pounds by their next visit. What is this weight decrease represented as a percent?
Answer:
18%Step-by-step explanation:
Step one;
given
initial weight = 55 pounds
final weight= 45 pounds
Step two:
Required
the % weight decrease
% decrease= initial-final/initial *100
% decrease= 55-45/55 *100
% decrease= 10/55 *100
% decrease= 0.18 *100
% decrease= 18%
SOMEONE HELP!!!! ASAP
I’ll give brainliest!! Please and ty !
Last answe choice is 37 !!
Answer:
65
Step-by-step explanation:
Show and explain how you found the answer to this problem. Carla has 152 pictures to put in a scrapbook. If she can fit 12 pictures on a page, how many pages will she need to use?
Someone explain how did it in there answer :)
I’ll also mark as you know that
Answer:
13 pages
Step-by-step explanation:
Can someone help me with this
Answer:
x=125°
Step-by-step explanation:
180-(25+30)= 125°
hope it helps!
Write 1 390 000 in standard form.
Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.
Answer:
Slope: -4
Y-intercept: 5
Step-by-step explanation:
The slope goes down 4 and over one which means that the slope is -4.
When X is 0, Y is 5
Good Luck!!
Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
How old is Daniel now?
Help me please, i need to get my grade up from a 28 in my class
Answer:
y = f(x+3) - 5.
Step-by-step explanation:
In general, the equation y = f(x-h) + k shifts the graph of f(x) h units to the right and k units upward. This graph shifts f(x) 3 units to the left (-3 units to the right) and 5 units downward (-5 units upward).
Therefore, the equation for the shifted graph is y = f(x-(-3)) + (-5), or simply y = f(x+3) - 5.
A plumber charges a one-time service fee of $20 in addition to his hourly rate of $25 per hour. If the plumber went to your house to work on your bathtub and toilet and the bill came to $282.50, how many hours did it take him to complete the job?
A- 25 + 20x = 282.50; x = 10.5 hours
B- 20 + 25x = 282.50; x = 10.5 hours
C- 20 + 25x = 282.50; x = 12.1 hours
D- 45x = 282.50; x = 6.3 hours
Answer: B
Step-by-step explanation:
The number of hours it took him to complete the job is; Choice B: 20 + 25x = 282.50; x = 10.5 hours
According to the question;
The one-time service fee of the plumber is; $20
The plumber's hourly rate is; $25 per hour.
The total bill after working on toilet and bathroom came to; $282.50
The expression which represents the plumber's charge is therefore;
20 + 25x = 282.50where, x = number of hours to complete the job.
Therefore, to find x;
25x = 282.50 - 2025x = 262.50x = 262.50/25x = 10.5 hours.
The total number of hours it took him to complete the job is; 10.5 hours.
Read more:
https://brainly.com/question/13828699
I need help solving this problem.
Answer:
about $342 or $171 per airpod
Step-by-step explanation:
the airpods cost about $171 each
1,200 ÷ 7 = 171 x 2 = 342
glad to help :)
Math problem. I not smort
Answer:
first answer
Step-by-step explanation:
doesnt pass vertical line test, not a function
Simplify: - 5 1/4 - ( - 7 1/2)
Answer:
91/4 simplified = 22 3/4
work:
subtract find answer then simplify :)
Hope this helps
Eight more then seventimes a number (x) is atleast twenty nine
Answer:A number increased by seventeen is equal to seventy-three. x + 17 = 73
Some number decreased by seven is thirty-three. x - 7 = 33
A number increased by twelve is forty. x + 12 = 40
A number increased by fifteen is sixty-two. x + 15 = 62
Eight less than a number is nine. x - 8 = 9
A number divided by 11 is 4. x/11 = 4
Seven more than three times a number is 19. 3x + 7 = 19
Four more than five times a number is thirty-six. 5x + 4 = 35
Eight less than nine times a number is eleven. 9x - 8 = 11
Twelve more than four times a number is seven. 4x + 12 = 7
Seven more than triple a number is fifteen. 3x + 7 = 15
Seven times a number increased by eight equals twenty-three. 7x + 8 = 23
Eight more than six times a numbers is eleven. 6x + 8 = 11
Nine times a number increased by thirteen is twelve. 9x + 13 = 12
The quotient of a number and four is seventeen. x/4 = 17
A number increased by seven is twenty-five. x + 7 = 25
Fifty-five is the sum of a number and sixteen. x + 16 = 55
The product of a number and eleven is seventy-five. 11x = 75
Eight times a number increased by eleven is thirty-seven. 8x + 11 = 37
The difference of a number and twelve is thirty-four. x - 12 = 34
Step-by-step explanation:
Answer:
x is equal to or greater than 3
Step-by-step explanation:
7x + 8 => 29
7x => 21
x => 3
Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?
Answer:
85 in intreset and 935 totoal
Step-by-step explanation:
Answer:
A = $935.00
I = A - P = $85.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 850(1 + (0.05 × 2)) = 935
A = $935.00
The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.
Answer:
85
Step-by-step explanation:
Dad is 3 times as old as his son Jim. In 20 years, Dad's age will be 12 years less than twice Jim's age. How old is Jim?
14 years old
16 years old
18 years old
20 years old
The length of a rectangle is 4 more than the width. If the perimeter is 36 inches, what’s the width and length of the rectangle?
Answer:
7 inches
Step-by-step explanation:
Answer:
The width and the length of the rectangle is...
Step-by-step explanation:
If we are looking at the total Perimeter of the rectangle, which is 36 inches, then we have to take in the information of the '4 more than the width'. so we need to think of the numbers that would make sense in this scenario. the formula to solve this would be:
w + (l + 4 ) x 2 = 36
So we would need to look at the different scenarios that don't go over 18.
if the width = 7
and the length = 11
7 + 11 = 18
18 x 2 = 36.
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!
Solve -2t + 5 ≥ -7.
t ≤ 6
t ≤ -6
t ≥ 6
t ≥ -6
The value of t will be t ≥ 6 or t ∈ [ 6 , α ) .
Given,
-2t + 5 ≥ -7
Now,
Solving the inequality,
-2t + 5 ≥ -7
Take 5 from LHS of inequality to RHS of inequality .
-2t ≥ -12
The negative signs from both sides are eliminated .
2t ≥ 12
t≥ 12/2
t≥ 6 .
Thus the value of inequality will be t ≥ 6 .
Thus option C will be correct .
Learn more about inequality,
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What is the slope of the line?
CAN SOMEONE PLEASE HELP ME ASAP
Answer:
G
Step-by-step explanation:
difference between coordinates of A and C is 9 because 7-(-2) is 9, one-third of nine is 3, -2+3=1 G is 1. (sorry for poor phrasing)
i need help on this question please hurrrrrrryyy
Answer:
0
Step-by-step explanation:
They all seem to be plotted correctly in accordance with the graph
complete each number sentence by choosing >, <, or =
14 - (5 +3) , (14 -5) + 3
(1 + 6) + 9 , 1 + (6 +9)
17 - (8+4) , 17 - 8 + 4
Answer:
14 - (5 +3) < (14 -5) + 3 <
14 - 8 9+3
(1 + 6) + 9 = 1 + (6 +9) =
17 - (8+4) < 17 - 8 + 4 <
-5 12
Step-by-step explanation:
Anyone know how to do identify the features?
kim weighed the dictionary and found that it had a mass of 745 grams. how many kilograms is that?
Answer:
0.745 kilograms
Sophie's town voted on a new speed limit. Out of 75 votes, 15 were in favor of the new speed limit. What percentage of the votes were in favor of the new speed limit?
Answer:
20%
Step-by-step explanation:
Divide 15 by 75 to find the percentage.