Answer:
500
Step-by-step explanation:
Assume camel stays at the market after complete delivery.
Idea is to drop off some bananas between the plantation and the market. Refrigeration is required to avoid bananas going bad!
Status (planatation, 250 mile point, 500 mile point, market)
First trip with 1000 bananas, stop at 250 miles, drop off 500 bananas, and come back to plantation. (status: 2000, 500, 0, 0) camel ate 500 bananas.
Second trip with 1000 bananas, stop at 250 miles, pick up 250 (to make 1000), drop off 250 at 500 mile point, come back to plantation. (Status: 1000, 250,250,0) Camel ate 1500 bananas.
Last trip with 1000 bananas, stop at 250 miles, fill-up 250 (total 1000), stop at 500 miles, fill-up to make total 1000. Travel all the way to market with 500 left.
(Status: 0,0,0,500) Camel ate 500+1000+1000.
Net delivery: 500 bananas to market.
Using the camel to transport bananas across the desert, George loses all bananas to the camel's consumption before reaching the market, resulting in 0 bananas delivered.
Explanation:The question asks how many bananas can George, the plantation owner, transport to the market across a 1000 mile stretch of desert using a camel that can carry 1000 bananas and eats one per mile. George has 3000 bananas to start with.
To maximize the number of bananas delivered, George must use a strategy that conserves bananas while accounting for the camel's consumption. For the first trip, George loads the camel with 1000 bananas, travels 333 miles (eating one banana per mile), deposits 667 bananas, and returns with 0. He repeats this until all bananas are 333 miles into the desert. This requires three round trips for the first third of the journey, resulting in the loss of 2000 bananas and leaving 1000 bananas 333 miles into the desert.
Next, he takes 1000 bananas, goes another 500 miles (leaving 500 bananas), and returns for the last batch of 500. This leaves him with 500 bananas 500 miles into the desert. Finally, he carries the last 500 bananas the remaining distance of 500 miles to the market, arriving with 0 bananas. Therefore, the greatest number of bananas George can deliver to the market is 0. This proves that it is impossible to deliver any bananas to the market under the given conditions.
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Blake looks at his checking account balance regularly. His three lowest balance during the year are as given. - $20 < -$12< - $ 3 select from the drop-down menus to correctly complete the statement The inequality statement shows that - $20 is a (lower or higher) which one is it Balance than -$12 and - $12 is a (Lower or higher) Which one is it balance than - $3
I believe the answers are lower and lower. -20 is lower than -12, and -12 is lower than -3
hey that is my name Blake -20 lower -12 high and -3 higher
63.90 three friends spent on dinner. They want to split the dinner check equally.
Hello AskMeBosh
Since we know that there are 3 friends, and 63.90 dollars would be sent, we would divide by 3
63.90/3
= 21.3
Their check for each will be 21.3 dollars
:)
The split of the dinner each has to spend 21.30.
Concept:Here the fundamental concept to be use is of division.To split up bills equally, the total bill amount has to be divided by the no of people.How to solve the given question? The total bill amount = 63.90No of people to split the bill = 3∴ The amount to be spent by each person = [tex]\frac{Total \ Amount}{No \ of \ people} = \frac{63.90}{3} = 21.30[/tex]Thus, each person has to pay 21.30.
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Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown.
If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct?
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.
Bruno is correct. When going from a smaller unit to a larger unit you need to divide.
Sam is correct. When going from a larger unit to a smaller unit you need to multiply.
Sam is correct. When going from a smaller unit to a larger unit you need to multiply.
We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.
Sam and Bruno were computing how many kilometers.
Also one kilometer equals 0.621 miles.
From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.
In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.
We always divide a larger value by a smaller value to get the smaller unit.
Therefore,
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.match the number with its opposite ONE NUMBER FOR EACH ONE. 3.2 A 2.3 -2.3 B -3.2. -1.5 C 1.5 5.1 D 5.1
3.2=-3.2
2.3=-2.3
1.5=-1.5
5.1=-5.1
The ratio of the prices of Emma's phone to Sophie's phone is 7:8. If Sophie's phone costs $640, how much should the prices of their phones decrease in order to have a ratio of 9:11 ?
Let cost of Emma's phone = x
Given that cost of Sophie's phone = 640
Then ratio of their phones cost will be x:640 or x/640
Given that ratio of their phones cost is 7:8 or 7/8
So both ratios will be equal.
[tex]\frac{x}{640}=\frac{7}{8}[/tex]
[tex]x=\frac{7}{8}*640[/tex]
x=560
So the new ratio of the cost of their phones will be 560:640
Now we have to find about how much should the prices of their phones decrease in order to have a ratio of 9:11.
So let that decreased amount is k then we will get equation :
[tex]\frac{560-k}{640-k}=\frac{9}{11}[/tex]
11(560-k)=9(640-k)
6160-11k=5760-9k
6160-5760=11k-9k
400=2k
200=k
Hence final answer is prices of their phones should decrease by 200 in order to have a ratio of 9:11.
Answer:
For the ratio between the price of the phones to be 9:11, the price of Emma's phone must decrease from $ 560 to $ 523.66. That is, the price of Emma's phone should decrease $ 36,364
Step-by-step explanation:
To answer this question, call x on Emma's phone and z on Sophie's phone.
We know that the price relationship between x and z is 7: 8
This means that:
[tex]\frac{7}{8} =\frac{x}{z}[/tex]
We know that the price of Sophie's phone is $ 640
Entoces z = 640
Now we clear x
[tex]\frac{7}{8} =\frac{x}{640}\\ x =640}\frac{7}{8}=560\\ x = 560[/tex]
Then, if the new relationship is 9:11 then:
[tex]\frac{9}{11} =\frac{x}{640}[/tex]
x = $523,636
For the ratio between the price of the phones to be 9:11, the price of Emma's phone must decrease from $ 560 to $ 523.66. That is, the price of Emma's phone should decrease $ 36,364
Factor the following expression.
10x^5 + 5x^3 - 14x^2 - 7
A. (5x^3 + 7) (2x^2 -1)
B. (5x^4 + 7) (2x -1)
C. (5x^4 - 7) (2x + 1)
D. (5x^3 - 7) (2x^2 + 1)
So, I took the test already a million times already and I keep failing because of questions similar to this. I'd appreciate if you also explained the process instead of just giving an answer. Thank you!
PS: (5x^4 - 7) (2x + 1) is not the answer.
10x^5 + 5x^3 - 14x^2 - 7
= 5x^3(2x^2 + 1) - 7(2x^2 + 1)
= (5x^3 - 7)(2x^2 + 1)
Answer is D
(5x^3 - 7)(2x^2 + 1)
Answer:
D.
Step-by-step explanation:
Let's use common factor gruping terms. We have that we have a common factor between the two left terms and another common factor between the two right terms. Then,
for the two left terms we take the common divisor, in this case 5 and the x with the minimun exponent, that is 5x^3.
for the two right terms we take the common divisor, in this case -7 and the x with the minimun exponent, in this case the -7 has no x so we don't include it in the common factor.
[tex]10x^5 + 5x^3 - 14x^2 - 7 = 5x^3(2x^2+1)-7(2x^2+1)[/tex]
Now, we use common factor again, this time the common factor will be [tex]2x^2+1[/tex]:
[tex]10x^5 + 5x^3 - 14x^2 - 7 = 5x^3(2x^2+1)-7(2x^2+1)= (2x^2+1)(5x^3-7)[/tex].
Then, the answer is D.
78 boxes of dvd, each box has 116 in it. 19 boxes are shipped, how many are left
78 - 19 = 59
If you're looking for the number of boxes that are left, its 59, but if you are looking for how many DVDs are left then you would proceed to do:
116 · 59 = 6844
6844 would be the number of DVDs that are left in the remaining boxes.
I don’t know how to do this question
let x represent the number of apples and y represent the number of oranges.
TOTAL: x + y = 112
y = 112 - x
PEELED: [tex]\frac{3}{8}x = \frac{1}{2}y[/tex]
[tex](8)\frac{3}{8}x = (8)\frac{1}{2}y[/tex]
3x = 4y
3x = 4(112 - x)
3x = 448 - 4x
7x = 448
x = 64
y = 112 - x
= 112 - 64
= 48
a) There are 64 apples and 48 oranges
Peeled apples: [tex]\frac{3}{8}x = \frac{3}{8}(64)[/tex]= 3(8) = 24
Unpeeled apples: 64 - 24 = 40
Unpeeled - Peeled: 40 - 24 - 16
b) there are 16 more unpeeled apples than peeled apples
Algebra problems. Can anyone help?
Answer:
Problem 1: The correct answer is B.
Problem 2: The correct answer is A.
Problem 3: The correct answer is B.
Find the equation of the line that is perpendicular to y=3y-x=7 and contains the point (2,-1).
The sum of two numbers is 21. One number is three less that the other. Find the numbers.
If you look at clue #2 first then you see that if you know one of the numbers then the other number is 3 less than it, so if I let one of the numbers be x then the other is
x - 3. Now clue # 1 says the sum of the two numbers is 21 so
x + (x - 3) = 21
12+9=21 because 12-3=9 and 9+12 is 21
ANSWER FAST PLEASE Which is a reasonable first step that can be used to solve the equation 4x+3(x+2)=5(2x-3)
Hey there!!
Given equation :
... 4x +3(x+2) = 5(2x-3)
Using the distributive property :
... 4x + 3(x) + 3 (2) = 5(2x) + 5(-3)
... 4x + 3x + 6 = 10x - 15
Combining the like terms :
... 7x + 6 = 10x - 15
Subtracting 7x on both sides :
... 6 = 3x - 15
Adding 15 on both sides :
... 21 = 3x
Dividing by 3 on both sides :
... x = 7
This is the solved equation. The first step we have done to solve the equation was using the distributive property.
Hope my answer helps!
A coyote weighs 11.3 lb convert the coyotes weight to ounces
1 lb = 16 ounces
11.3 lb x 16 oz = 180.8 ounces
11.3 lb equals 180.8 oz
Answer: 180.8 ounces
Step-by-step explanation: To convert 11.3 pounds to ounces, first find the conversion factor for pounds and ounces.
Conversion factor → 16 ounces = 1 pound
Next, notice that we are going from a larger unit "pounds" to a smaller unit "ounces." When we go from a larger unit to a smaller unit we multiply.
Larger ⇒ smaller multiply
In this case, we multiply 11.3 pounds by our conversion factor which is 16 ounces.
11.3 × 16 = 180.8 oz.
This means that 11.3 pounds is equal to 180.8 ounces.
What is another way to write 2.64 x 100
264. Is another way once you multiply it.
What is the measure of
what does n/6 = 5.5 equal, what does n equal
Hello!
[tex]\frac{n}{6}=5.5[/tex]
First you had to multiply by 6 from both sides.
[tex]\frac{6n}{6}=5.5*6[/tex]
Then you simplify by the answer is correct.
[tex]n=33[/tex]
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
How to find X intercept and Y intercept from a slope intercept equation
To find the X and Y intercepts from a slope intercept equation, first understand the equation structure (y = mx + b). The 'm' signifies the slope, and the 'b' indicates the y-intercept. To find the x-intercept, set y to zero and solve for x. To find the y-intercept, look at the 'b' value.
Explanation:In a slope intercept equation written in the form y = mx + b, the x-intercept and y-intercept are determined by values of y and x when they equal zero respectively. The 'm' signifies the slope of the line, indicating the rise over run on the graph, and the 'b' indicates the y-intercept, which is the point at which the line intersects the y axis.
To find the y-intercept from a slope-intercept equation, you consider the 'b' in the equation. For instance, in the line graph, the y-intercept is 9, meaning the line crosses the y-axis at the point (0,9).
To find the x-intercept (the point where the line crosses the x-axis), you set y equal to zero and solve for x. If 'y' is equal to '0', then the equation becomes 0 = mx + b. Solving for 'x' in this equation will give the x-intercept.
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Today only, a table is being sold at a 27% discount. The sale price is $438 . What was the price yesterday?
It is $600. Hope i helped
A cab service charges a flat rate of $3.25 and an additional $0.75 per mile. Ashley has $10. What is the maximum number of miles Ashley can travel?
After paying for the flat rate, she has 10-3.25=6.75 left.
With 6.75 she can go for 6.75/0.75 = 9 miles
Note: solving by reasoning is often faster than mechanically forming an equation.
Final answer:
To find the maximum number of miles Ashley can travel with $10, subtract the flat rate of $3.25 from $10, leaving $6.75, which is then divided by the per mile rate of $0.75 to result in 9 miles.
Explanation:
To calculate the maximum number of miles Ashley can travel with $10 using the cab service that charges a flat rate plus a per mile fee, you first subtract the flat rate from the total amount Ashley has. Then, divide the remaining amount by the per mile charge to find the number of miles she can afford.
Step-by-step Calculation
Subtract the flat rate ($3.25) from Ashley's total amount ($10): $10 - $3.25 = $6.75.
What is 20k+11=8k+1 find k
k=-5/6 would be your answer
The answer you are looking for is K = -5/6.
To find this, you must get K by itself. First, subtract 8k from both sides to get 12k + 11 = 1. Next, subtract 11 from both sides to get 12k = -10. Finally, divide both sides by 12 to get K = -10/12, which simplified, is -5/6. Thus making -5/6 the answer.
I hope this helps!
Solve for x over the complex numbers. x^2+8x+20=0
X= or X=
Steps:
[tex]x=\frac{-8+\sqrt{8^2-4\cdot \:1\cdot \:20}}{2\cdot \:1}: -4+2i[/tex]
[tex]x=\frac{-8-\sqrt{8^2-4\cdot \:1\cdot \:20}}{2\cdot \:1} -4-2i[/tex]
=\frac{-8-\sqrt{16}i}{2\cdot \:1}[tex]=-8-\sqrt{16}i[/tex]
[tex]=\frac{-8-\sqrt{16}i}{2}[/tex]
[tex]=\frac{-8-4i}{2}[/tex]
[tex]=-2\left(2+i\right)[/tex]
[tex]=-4-2i[/tex]
[tex]x=-4+2i,\:x=-4-2i[/tex]
Answer:you can use the quadratic formula but if you have to factor do the following:
x^2+8x+20=0
add -4 to both sides of the equation to complete the square
x^2+8x+20+(-4)=0+(-4)
x^2+8x+16=-4
(x+4)^2=-4
take the square root of both sides
x+4=+sqrt(-4)
x+4=+sqrt[(4)(-1)]
x+4=+2sqrt(-1) where sqrt(-1)=i, a complex number
x+4=+2i
x=-4+2i
x=-4+2i and x=-4-2i
you would get the same answer using the quadratic formula
Step-by-step explanation:
8 more than 5 times a number is -27
8 + 5n = -27
5n = -35
n = -7
Can yall plz help!!!
Number one would be -8
Solve for t. −22t>66 Enter your answer, as an inequality, in the box.
t<-3 should be the answer. I hope this helps
Factor the expression 2x^3-10x^2-5x+25. Show your work.
Step 1. Factor out common terms in the first two terms, then in the last two terms.
2x^2(x - 5) -5(x - 5)
Step 2. Factor out the common term x - 5
(x - 5)(2x^2 - 5)
How to represent the number 8.2 using base 10 blocks. How much each size blocks is worth?
To represent 8.2 using base 10 blocks, you need 8 one blocks and 2 tenth blocks, where one blocks represent 1 and tenth blocks represent 0.1. This method is effective for visualizing numbers in base 10.
Explanation:To represent the number 8.2 using base 10 blocks, we use different sizes of blocks to represent different place values in base 10.
Each size block is worth a different value based on its place in the number.
A hundred block represents 100.A ten rod represents 10.A one block represents 1.A tenth block (also known as a flat or a piece of flat) represents 0.1.To represent 8.2, we would need:
8 one blocks (because 8 is in the ones place).2 tenth blocks (because 2 is in the tenths place, representing 0.2).This method of representation helps in visualizing and understanding the value of numbers in the base 10 system. It's particularly useful in educational settings for explaining the concept of place values and decimals.
There arre a total of 82 students in robotics club and the science club the science club has 6 fewer students than the robotics club. How many students are in the science club?
Answer:
88
Step-by-step explanation:
You are just adding 82+6=88
Jay and Blair went fishing. Together they catch 27 fish. Jay catch 2 times as many fish as Blair. How many fish did Jay and Blair each catch. Write an equation and solve. Explain your work.
27=2J+B
you can guess and check: 27=2(9)+9
J=jay
B=blair
We can solve this using the equation 2x+x=27. The 2x represents Jay, and the x represents Blair. We can simplify the equation to 3x=27. 27/3=9. Blair caught 9 fish, and Jay caught 18 fish. I hope this helps!
The volume of a spherical tank is 790.272 pie cubic feet what is the
We are given the volume of a spherical tank = 790.272 π cubic feet.
We need to find the diameter of the container .
We know formula for volume of a sphere.
[tex]V=\frac{3}{4}(r^{3}\pi)[/tex]
Where r is the radius.
Plugging V= 790.272 π in the above formula, we get
[tex]790.272\pi =\frac{3}{4}(r^{3}\pi)[/tex]
Dividing both sides by π, we get
790.272 =[tex]\frac{4}{3}(r^{3})[/tex]
Multiplying both sides by 3, we get
2370.816 = [tex]4r^3[/tex]
Dividing both sides by 4, we get
592.704 = [tex]r^3[/tex]
Taking cube root on both sides, we get
r=8.4.
Diamater is 2 times of radius, that is 2 × 8.4 = 16.8
Therefore, the diameter of the container = 16.8 feet.
A store is having a sale where movies are 15 percent off their original price. A movie is on sale for $22.10. What was the original price of the movie?
the origncal price would be $26 I kinda did a guess and check but if you multiple 26 by 15% you get 3.9 and 26 minus 3.9 is 22.10