Step-by-step explanation:
x-the initial number of coconuts
x=3y+1
2y=3z+1
2z=3×7+1=>z=11=>y=17=>x=52
The number of coconuts in originally was 25.
What is division?Division is breaking a number up into an equal number of parts.
Given that, there are three sailors and a band of monkeys on an island, and they are distributing the coconuts,
Let x be the number of coconuts to start with. We are given that it is a whole number.
After Sailor 1 gives one to the monkey and takes a third. Then the number of coconuts remaining is (x-1) - (x-1) (1/3) = 2(x-1)/3.
Sailor 2 gives 1 coconut to the monkey, so there are 2(x-1)/3 - 1 = (2x-5)/3. He takes a third and leaves [(2x-5)/3](2/3) = (4x-10)/9.
Sailor 3 gives 1 to the monkey, so now
(4x-10)/9 -1 = (4x-19)/9 are left.
He takes a third, leaving behind [(4x-19)/9](2/3) = (8x-38)/27
This is the number of coconuts in the pile that the sailors found next morning.
Let (8x-38)/27 = y, say, which gives 8x = 27y + 38.
We are given that it is less than 10, and it is a whole number divisible by 3 (because each sailor took a third and nothing was left).
Therefore, possible values for this number are 0, 3, 6 and 9. But we are also given that the initial pile had a whole number of coconuts. Hence, the problem reduces to finding that y from which 8x = 27y + 38, gives an x as a whole number.
You will see that the only y that gives x as a whole number is y = 6
Then 8x = 200, so x = 25
Hence, the number of coconuts were 25.
For more references on division, click;
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what is the cube root of 81 divided by the fifth root of 729?
Answer:
Cubed Root (3√x) of
512
Cubed Root
8.0000000000
Step-by-step explanation:
Answer:
1.15775367252
Step-by-step explanation:
This is a really weird question but...
Determine the volume of the three-dimensional figure.
Answer:
12 cm^3
Step-by-step explanation:
multiply all three numbers
Answer:
Step-by-step explanation:
Multiply the three measurements together to find the volume using either paper and pencil or a calculator. This is the equation: Volume = length x width x height. For example, if the measurements of your prism are 6 inches, 5 inches and 4 inches, the equation would look like this: Volume = 6 x 5 x 4.
2. The surface area of a three-dimensional figure is the sum of the area measures for each of the
figure's faces. Find the surface area of the cube shown below.
3 in.
s=6e2
3 In
Part 1: How many faces does the cube shown above have? (1 point)
Part II: Find the area of one face of the cube shown above. Show your work. (2 points)
Part III: Find the surface area of the cube shown above. Show your work. (2 points)
[tex]\color{plum}\tt \: Answer \: \: part \: \: 1 :[/tex]
All cubes have six faces. Likewise, the cube shown above also has 6 faces.
[tex]\color{plum}\tt \: Answer \: \: part \: \: 2 :[/tex]
Length of side of one face of cube = 3 inches
Area of one face :
= Side × Side
= 3 × 3
= 9 inch²
Therefore, the area of one face of this cube = 9 inch²
[tex]\color{plum}\tt \: Answer \: \: part \: \: 3 :[/tex]
Area of cube = sum of the area of all faces
Then, the area of this cube :
[tex] = 9 + 9 + 9 + 9 + 9 + 9[/tex]
[tex] = 9 \times 6[/tex]
[tex] = 54 \: \: {inches}^{2} [/tex]
Therefore, the area of this cube = 54 inches²
Answer: 54
Step-by-step explanation:
Which expression is equivalent to 6/12 divided by 2/3
Answer: B
Step-by-step explanation:keep changing flip
[ +
−2
2−3+2
−
+−2
2+4−5
] ÷ [
2+3
2+3−10]
Answer:
I'm not sure if this is a real problem and I don't think it is but the answer is 6.5
Step-by-step explanation:
first you have to add -2 and 2, then plus 3 and 2 and subtract 2 from it and then and 2+4 and subtract -5 and divide 2 and add 3 and add the answer to al of that to 2 + 3 and subtract - 10 and you get your answer of 6.5
z varies jointly as x and y. z=60 when x=5 and y=6. find z when x = 7 and y=3
Answer:
z = 42
Step-by-step explanation:
The question can be answered in 2 steps as follows:
Step 1: Calculation of the constant of the variation
The equation for the joint variation can be given as follows:
z = cxy ................... (1)
Where;
z = 60
c = constant = ?
x = 5
y = 6
Substituting the values into equation (1) and solve c, we have:
60 = c * 5 * 6
60 = c * 30
c = 60 / 30
c = 2
Step 2: find z when x = 7 and y = 3
Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:
z = 2 * 7 * 3
z = 42
Bob ate 3/5 of ham and pineapple pizza, 3/8 of pepperoni , and 1/4 of four cheese pizza. How much pizza is left
Answer:
about 25 feet
Step-by-step explanation:
In a race, an orange car is going 75 m/s east and a red car is going 70 m/s
east. How much faster is the orange car than the red car?
Answer: 5250m^2
s^2
Step-by-step explanation:
HELP
HELP
HELP
HELP
5TH GRADE MATH
Answer:
G 3cubic centimetre
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
The big one has 6 cubes, and each is 1-by-1, so the volume of Figure 1 is 6. The smaller one has 3 cubes and is also 1-by-1, so the volume of Figure 2 is 3. 6-3=3
it takes 20 minutes to walk to school .it takes Andre 80% as long to walk to school.how long does it take Andrea to walk to school
Answer:
16min
Step-by-step explanation:
80%*20min=4/5*20min=16min
Answer:
16 minutes
Step-by-step explanation:
If it takes 20 minutes and it takes Andre 80% as long, then you multiply 20 by %80
Convert 214 Liters into gallons.
A. 50 gallons
C. 60 gallons
B. 56.53 gallons
D. 52.65 gallons
Answer:
214 Liters converted to gallons would be 56.53 gallons there are more decimals after but those are the two main decimals.
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION RIGHT.What do we call the graph of a quadratic?
Answer:
parabola
Step-by-step explanation:
A chef bought 3 bags of beans. Each bag contains 1 2/5 kilograms of beans. How many kilograms of beans did she buy?
Answer: 4.2 kilograms
Step-by-step explanation:
Compete the table. Write in the correct units that corresponds with the letters in the table.
Answer:
,
Step-by-step explanation:
ᵍᵍᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏ
ⁱⁱⁱⁱᵏ
Can somebody help with this
Answer:
what is your question?
Well, if I can remember correctly-
1.) (c^2 +4c) I believe you would rewrite in factored form to get a solution of c(c + 4)
2.) (4w^2 -4) I think you would the 4w^2 first, getting 16w. Then the solution would be 16w - 4 (since you cannot combine these terms together)
3.) (z^2 - 2z) You would do the same with this as you would with question 1, which would give you a solution of z(z + 2)
43. A bookstore sells 24 paperbacks, 6 hardcovers, 38 magazines, and
5 calendars. What is the ratio of magazines sold to paperbacks sold?
c. 12
A. 24:38
B. 19 to 31
D. 12:24
Answer:12
Step-by-step explanation:
Answer:
The ratio of magazines sold to paperbacks sold is 19:12 or 19/12.
Step-by-step explanation:
Given that:
Number of paperbacks sold = 24
Number of hardcovers sold = 6
Number of magazines sold = 38
Number of calendars sold = 5
Ratio of magazines sold to paperbacks sold,
Magazines : Paperbacks
38 : 24
19 : 12
Hence,
The ratio of magazines sold to paperbacks sold is 19:12 or 19/12.
Which of the following could be the side measures of a right triangle?
Oa 15 ft 10 ft, 5 ft
Ob. 6 ft. 4 ft, 2 ft
Oc. 11 ft, 10 ft. 6 ft
Od 5 ft. 4 ft, 3 ft
CAN U HELP PLEASE I GOT LIKE 15 MORE QUESTIONS
Answer:
D
Step-by-step explanation:
16+9=25 so it's valid
Thank you sooooooooooooo. Much
Answer:
24 inches
Step-by-step explanation:
Similar to the question you asked earlier, this question also has 3 small rectangles and we can combine it to make it a one big rectangle. The equation for the perimeter is this:
2W + 2L = P
We know W and P (the width of the small rectangles times 3), thus plugging in those values would give us:
2(30*3) + 2L = 324
180 + 2L = 324
2L = 144
L = 72
We need to divide this number by 3 to get the length of the small rectangle, which would give us 72/3 or 24.
In 1990 the population of the US was approximately 249 m. In 2014 the population was about 317 m. Determine the percent increase in the population over the period 1990 to 2014
Answer:
27,3%
Step-by-step explanation:
(317-249)/249 * 100% = 27,3%
there are 18 female students in a class of 30, at this rate how many females are in a class off 100
Answer:
60%
Step-by-step explanation:
What is the solution to the system of equations below?
Y=-3x+5 and y=4x-2
9514 1404 393
Answer:
(x, y) = (1, 2)
Step-by-step explanation:
You can solve this by subtracting the first equation from the second.
(y) - (y) = (4x -2) -(-3x +5)
0 = 7x -7 . . . . . .simplify
0 = x -1 . . . . . . . divide by 7
1 = x . . . . . . . . . .add 1
Use the first equation to find y:
y = -3(1) +5
y = 2
The solution is (x, y) = (1, 2).
I would greatly appreciate if anyone could show me how to complete this problem.
Answer:
the best way to solve this is to have graph paper, so your numbers and points align. I have a model attached. the first point is hours slept 8. so on your graph go to 8 then across to 83, which is the test score. make a mark to represent this point. do this for all and it will create a line
Find the sales tax and cost of a PS5 that costs $499. The tax rate is 7.25%. Round your answer to
the nearest cent.
a. What is the sales tax?
b. What is the total cost?
Step-by-step explanation:
First make an equation.
y=0.0725(499)
This equation would solve for the sales tax.
y=36.1775 or 36.18 because you have to round it l.
To find the total cost, you would do 499+36.18= $537.18
What is the answer to “4 1/8 + 2 1/3?”
Answer:
12.125
please mark me brainliest and follow me my friend.
9548305834058+546325413
Answer: 9.5488522e+12
21. Given: f(x) = (x - 2)2 + 4 g(x) = (x – 5)2 + 4 When compared to the graph of
f(x), the graph of g(x) is
(1) shifted 3 units to the left
(2) shifted 3 units to the right
(3) shifted 5 units to the left
What is the measure of ABD?
Answer:
try d or c
Step-by-step explanation:
A computer is bought for $1,200 and a deposit of $300 is paid. The outstanding balance, plus 10% interest on the balance must be repaid in 4 quarterly installments. How much is each monthly installment?
Chapter 2: 2.5 Measures of Center Homework
Answer:
589
Step-by-step explanation:
9,952 - 2884 = 7,068
7068/12
589
***Check***
589 x 12 = 7,068
7068 + 2,884 = 9,952
CORRECT!
Solve the system by elimination.
2x+2y−z=−3x+y+z=63x−2y−z=8
Step-by-step explanation:
Evaluate 5x − 2y + 3z when x = −2, y = −4, and z = 3. If you missed this ... 3x − 5y = 27 . If you missed ... Every solution to the equation is an ordered triple, (x, y, z) that makes the equation true. ... y = 2x. 2x − y = 0. Use equations (1) and (2) to eliminate z. Use (3) and (4) to eliminate y. Solve for x. ... 4x + 3y = −8. 182. ⎧.
