You just have to take the cube root of 1331. So ³√1331 = 11
Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?
2.0 mph
3.3 mph
5.0 mph
10.0 mph
Answer : 2.0 mph
Haji rows his canoe 10 mph in still water
Speed of still water = 10 mph
Let the speed of the current = x
Upstream speed = 10 - x
Downstream speed = 10+x
Upstream Distance = 4 miles
Downstream Distance = 6 miles
[tex]Time = \frac{Distance}{speed}[/tex]
Time taken on upstream = [tex]\frac{4}{10-x}[/tex]
Time taken on downstream = [tex]\frac{6}{10+x}[/tex]
Same time taken for both upstream and downstream
So [tex]\frac{4}{10-x} = \frac{6}{10+x}[/tex]
Cross multiply it
4(10+x) = 6(10-x)
40 + 4x = 60 -6x
Add 6x and subtract 40 on both sides
10x = 20 (divide by 10)
x= 2
So speed of the current = 2.0 mph
The approximate speed of the current that day is 2.0 mph.\
The correct option is A.
Given
The speeds of the current = x
Upstream speed = 10 - x
Downstream speed = 10+x
Upstream Distance = 4 miles
Downstream Distance = 6 miles
What is speed?Speed is defined as the fraction of the total distance and time taken to complete it.
The following formula is used to calculate speed;
[tex]\rm Speed =\dfrac{Distance}{Time}[/tex]
Therefore,
The approximate speed of the current that day is;
[tex]\rm = \dfrac{Upstream \ distaance}{Upstream \ speed}= \dfrac{downstream \ distaance}{downstream \ speed}\\\\ \dfrac{4}{10-x}=\dfrac{6}{10+x}\\\\4(10+x)=6(10-x)\\\\40+4x=60-6x\\\\4x+6x=60-40\\\\10x=20\\\\x= \dfrac{20}{10}\\\\x=2[/tex]
Hence, the approximate speed of the current that day is 2.0 mph.
To know more about Speed click the link given below.
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what is the equation for 8x=40
Remark
What exactly do you want? You have written the equation. So perhaps what you would like is the value for x.
When people start doing algebra usually they are asked what multiplied by 8 will give 40. There is no procedure to that, just an answer.
8 times 5 = 40. So the answer is 5.
You do know that 8x means 8*x or multiply 8 times x do you not?
Procedure
8*x = 40 Divide both sides by 8
8x ÷ 8 = 40÷8
x = 5
what are the different ways of solving systems of linear equations?
1) Graphing- If you graph the numbers you will easily be able to identify the answer.
2) Substitute- Substitute numbers in for x or y until they're equal on both sides.
EX: 2x+2=10
Substitute numbers in until you get a number that makes it equal on both sides
x= 4
3) Elimination- Eliminate numbers from both sides until they're equal.
Hope this helped! :)
Find the distance between points M(6, -16) and Z (-1, 14) to the nearest tenth.
Distance = √((x2-x1)^2 + (y2-y1)^2)
Distance = √((-1 - 6)^2 + (14 - -16)^2)
Distance = √( -7^2 + 30^2)
Distance = √(49 + 900)
Distance = √949
Distance = 30.8
Enter the number that belongs in the green box.
The number that belongs in the green box is 2.
Explanation:Based on the information provided, which relates to probability and the use of a calculator, we can assume the question pertains to Mathematics, likely within a Middle School curriculum where basic probability and calculator skills are taught.
When dealing with shuffled cards or marbles in a bag, one typically calculates probabilities or expected outcomes
There are a total of eight cards: five green cards and three yellow cards.
Since the cards are well shuffled, the probability of drawing a green card is 5/8.
The probability of drawing a yellow card, in this case, would be 3/8.
Since the green cards are marked with the numbers 1, 2, 3, and 4, the number that belongs in the green box would be 2.
Final answer:
To find the number in the green box, calculate the ratio of green cards to total cards.
Explanation:
The number that belongs in the green box can be found by calculating the ratio of green cards to total cards. In this case, there are 5 green cards out of 8 total cards. To find the number that belongs in the green box, we can use the formula:
Number in green box = green cards / total cards
Number in green box = 5 / 8
Using a calculator or simplifying the fraction, we find that the number in the green box is 5/8 or approximately 0.625.
the skunk sprayed people 70% of the people he saw on his walk. if he saw a total of 30 people,how many people did he spray?
The skunk sprayed 21 people.
He sprayed 21 people.
Explanation: 30/100=0.3 ((1% of 30 is 0.3))
0.3x70(%)= 21
Solve for a: d=1/4a^2bc
a = [tex]\sqrt{\frac{4d}{bc} }[/tex]
isolate the term in a
[tex]\frac{1}{4}[/tex] a²bc = d ( multiply both sides by 4 to eliminate the fraction )
a²bc = 4d ( divide both sides by bc )
a² = [tex]\frac{4d}{bc}[/tex]
Take the square root of both sides
a = [tex]\sqrt{\frac{4d}{bc} }[/tex]
please help me, thanks :))
In order to answer this question, you must convert each number into 3 different fractions. This can be done by multiplyhing the number by the denominator (The denominator is the bottem part of the fraction) as you go up, for example, for 2 , you can make it into a 4/2, due to the denominator being 2, you multiply it by 2, and there you go, you made a fraction that equals the number. You can do this with the rest of these, although for number 11, its pretty much the same thing, just by dividing the new denominator with the old one then multiplying that new number by the numerator to get your fraction.
12/84 as a unit fraction?
Simplify [tex]\frac{12}{84}[/tex], 84 ÷ 12 = 7, so, [tex]\frac{12}{84}[/tex] as a unit fraction equals; [tex]\frac{1}{7}[/tex]
~
1/7
This is because 84 is divisible by 12 and that would leave 7 in the denominator with 1 on top
8(x+6)−10+r=3(x+12)+5x
Answer:
ne solution was found :
r = -2
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*(x+6)-10+r-(3*(x+12)+5*x)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((8•(x+6))-10)+r)-(3•(x+12)+5x) = 0
Step 2 :
Equation at the end of step 2 :
((8 • (x + 6) - 10) + r) - (8x + 36) = 0
Step 3 :
Equation at the end of step 3 :
r + 2 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : r+2 = 0
Subtract 2 from both sides of the equation :
r = -2
One solution was found :
r = -2
Step-by-step explanation:
If a^2-b^2=648 and (a-b)=24, what is the value of (a+b)
F.21
G.24
H.25
J.26
K.27
K.27. This is because if you were to factor a^2-b^2, you get (a+b)(a-b)=648. If you substitute a-b for 24, it would lead the equation to be 24(a+b)=648. Divide 24 from both sides to get the answer.
To find the value of (a+b), substitute a-b into the equation [tex]a^{2} - b^{2} = 648[/tex] and solve for (a+b). The value of (a+b) is 27, i.e., option K.
Explanation:To find the value of a+b, we can use the formula for the difference of squares: [tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]. Given that a-b = 24, we can substitute this value into the equation. So, we have:
648 = (a+b)(24)
Now, divide both sides of the equation by 24 to isolate (a+b):
(a+b) = 648/24 = 27. Therefore, the value of (a+b) is 27.
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give that angle CFE is congruent to CFA, the measure of angle AFB = 23° and the measure of angle EFD = 69°, find the measure of angle EFB.
Answer:
m∠EFB = 157°
Step-by-step explanation:
We are given that m∠CFE = 90°
m∠AFB = 23° so;
m∠BFC = 90° - 23° = 67°
m∠EFB = m∠CFE + m∠BFC = 90° + 67° = 157°
Answer:
D. 157°
Step-by-step explanation:
Angle CFE is a right angle, as can be seen in the figure. So, m∠CFE = 90°. Two angles are congruent when they are equal. This means that angle CFE is equal to CFA, i. e., m∠CFA = 90°. Figure shown that m∠AFB + m∠BFC = m∠CFA. If m∠AFB = 23°, then, m∠BFC = 67°. It's also shown in the figure that m∠EFB = m∠CFE + m∠BFC. So, m∠EFB = 90° + 67° = 157°
what is the value of a3
What are your options for the answers soI can further help you.
can someone help me on this? and please explain on how you do it. Thank you!
[tex]\frac{220 (granola bars/year}{1 (person)} * 273 million (people) = 60,060 million (granola bars)[/tex]
= 60,060,000,000
= 6.006 x 10¹⁰
Answer: 6.006 x 10¹⁰
Lupe’s chili recipe makes 12 servings and uses 12 green peppers and 4 red peppers. Drag green peppers and red peppers into the box to show how many Lupe needs for 9 servings.
Answer: 9 green peppers and 3 red peppers
Step-by-step explanation:
Lupe makes 12 servings:
She uses 12 green peppers and 4 red peppers.
If you want to know the number of each pepper that she needs for servings, you must divide the number of peppers by the number of servings:
green : 12/12 = 1
She needs one green pepper for serving:
red: 4/12 = 1/3
She needs one third of a red pepper for serving, so for 9 servings she needs:
9*1 = 9 green peppers
9*(1/3) = 9/3 = 3 red peppers
write a question about 7 ones and 8 groups of 10
A cafeteria has two sodas. On machine has the following flavors: cola, root beer, and lime. The second machine has a lemon, orange, cola, and cherry. Which set represents all flavors in the two machines?
Answer:
The guy above is completely correct.
Just in case if no one believes him.
Step-by-step explanation:
Please give him brainliest.
NEED HELP ASAP!!!! PLEASE?! An insecticide contains 75 centigrams of inherit ingredient for every 1 centigrade of active ingredient. If a quantity of the insecticide weighs 380, how much of each type ingredient does it contain?
Add the ratios:
75 +1 = 76
Divide the total by that:
380 / 76 = 5
Multiply each ratio by 5:
75 * 5 = 375
1 * 5 = 5
There is 375 centigrams of inherit
and 5 centigrams of active
Donnie’s dog had a litter of puppies. He noticed that 2 are brown, 1 is striped and 3 are spotted. What is the ratio of total puppies to brown puppies?
I got 6:2
Answer:
6:2 is correct :)
Step-by-step explanation:
Devaughn's age is three times Sydney's age. The sum of their ages is 84 . What is Sydney's age?
the answer is 21 years old
im very mad a frustrated... i thought i was done for the day...and then this popped
please help.
12 points!!!!!!!!!
Complete the second equation below so that the terms in the system align.
The equation is 3x+2y= -22
Answer:
It's -3x+2 y=-22
Step-by-step explanation:
I just did on e2020
In Bluepoint, the average low temperature for January was 40 °F. The average low in February was 27% lower. What was the average low in February?
The average low temperature for January was 40 °F - 100%.
The average low in February was x °F - 27% lower, that is 100%-27%=73%.
Write a proportion:
[tex]\dfrac{40}{x}=\dfrac{100}{73},\\ \\x=\dfrac{73\cdot 40}{100},\\\\x=29.2[/tex]
Answer: the average low in February was 29.2 °F.
write the number with the same value of 32 tens
32 tens is the same as 320.
hope that helps :)
Answer and show work please
23.61 divided by 5.1
The answer is 4.269 cause if You do it the long divison way you will see how
An offical handball has a diameter of 4.8 centimeters whats the volume ?
Hello!
AnswerThe volume of the handball is 57.91 [tex]cm^{3}[/tex]
_________________________________________________ExplanationUse the formula to calculate the volume.
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
V = [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]2.4^{3}[/tex]
V = 57.91 (Rounded to the nearest hundredths)
HELLLLLLLLLPPPPP IM CONFUSED
helpe help asap
Answer:
(1,1.5) (2, 3), etc.
Step-by-step explanation:
For each bottle sold, you go across the x-axis (the one that's horizontal) one time, and go up the y-axis (the one that's vertical) one and a half times. Hope this helps!
f(x)=1/4x^4+1/3x^3+9 concave up and concave down
Answer: Concave UP
Step-by-step explanation:
The polynomial is an even degree (4) so it will look similar to a parabola (U-shaped if positive, ∩-shaped if negative).
see attachment to see what this graph looks like.
A motorboat traveling with the current went 80 miles in 4 hours. Against the current, it took 5 hours to travel the same distance. Find the rate of the motorboat in calm water.
Let x be the speed of the motorboat and y be the speed of the current.
Then, for downstream, the speed is x + y.
Now, speed = distance/time.
Distance = 80 miles.
Time for downstream = 4 hours.
So, x + y = 80/4 = 20 (1)
Against the current, that is for upstream, the speed is x - y.
Time for upstream = 5 hours.
x - y = 80/5 = 16 (2)
Adding (1) and (2), we get,
2x = 36
x = 18
Hence, rate of the motorboat in calm water = 18 miles/hour.