Answer:
4 mph
Step-by-step explanation:
The current subtracts from the boat speed going upstream, and add going downstream. The relation between speed, distance, and time is ...
time = distance/speed
2 1/4 = 12/(12 -c) + 12/(12 +c) . . . . . round trip time is the sum of the trip times
9/4(12 +c)(12 -c) = 12(12 +c) +12(12 -c) . . . . multiply by (12 +c)(12 -c)
144 -c^2 = 128 . . . . . . multiply by 4/9 and simplify
16 = c^2 . . . . . . . . . add c^2 -128
c = 4 . . . . . . . . . positive square root
The current was 4 mph that day.
What numbers are located exactly 5/3 units from point P on the number line?
The required numbers are -2.33 and 1 are a distance of 5/3 unit from -2/3 on a number line.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
Here, we have,
We have been given that number line, the numbers that are 5/3 units away from the number -2/3 are the numbers that are 5/3 units to its right and left.
The numbers are given by -2/3 - 5/3 and -2/3 + 5/3.
So the required numbers would be:
⇒ -2/3 - 5/3 = -7/3 = -2.33
⇒ -2/3 + 5/3 = 3/3 = 1
Therefore, the required numbers are -2.33 and 1 are a distance of 5/3 unit from -2/3 on a number line.
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Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2. 5 cm base diameter, what is the maximum height each tooth can be? Assume that the students use all the clay. A. 1. 25 cm B. 2. 27 cm C. 2. 47 cm D. 3. 57 cm E. 4. 50 cm.
The maximum height each tooth is 2.47cm.
The first step is to determine the maximum volume of a tooth.
Maximum volume of a tooth = volume of the block / number of teeth
81 cm³ / 20 = 4.05cm³
The formula to determine the height of a cone is:
Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²
Where:
π = pi = 22/7 r = radius = 2.5 / 2 = 1.25cmHeight = 4.05 ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm
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Tanaka says "When you multiply an odd number and an even number together, you will
always get an odd number'.
Show that Tanaka is wrong.
Answer: Tanaka is wrong becausee...
2 x 3 = 6
Since Tanaka said "When you multiply an odd number and an even number together, you will always get an odd number." we do not need to show more examples.
Hope this helps :)
The 6th term of the geometric sequence is 1/128. The common ratio is 1/2. Find the 9th term of the sequence
1/128
1/256
1/512
1/1024
Answer:
it's the 4th one
Step-by-step explanation:
A, the one you mentioned
B, the 7th
C, the 8th
D is your answer
I REALLY NEED YOUR HELP DUE AT THE END OF CLASS.
Answer:
Type 2
Step-by-step explanation:
Equation of the line is:
y=2
slope is 0
a donut shop every Friday makes a total of 420 donuts on Tuesday morning to sell. Of the 420, 105 of them are plain and the rest are chocolate. If the donut shop plans to sell a total 820 donuts on Saturday morning, how many of them will be chocolate?
is this a dilation of 1/2 or a dilation of 2
Answer:
The dilation is 2 because triangle K'L'P' is 2x bigger than triangle KLP
what is the answer for this question 7(x+4)-7=48-2x
Answer:
3
Step-by-step explanation:
Expand
7x+28-7 = 48-2x
Simplify
7x+ 21 = 48-2x
Solve
Take 21 away from both sides
7x = 27-2x
Add 2x to both sides
9x = 27
Divide by 9 to find x
x = 3
What are the solutions to the equation ( 5 x − 15 ) 2 = − 100 ?
Answer:
x = -7
Step-by-step explanation:
( 5 x − 15 ) 2 = − 100
10x - 30 = - 100
10x = -70
x = -7
Answer:
x = -7
Step-by-step explanation:
[tex]\left(5x-15\right)\cdot \:2=-100\\\\\frac{\left(5x-15\right)\cdot \:2}{2}=\frac{-100}{2}\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\\frac{5x}{5}=\frac{-35}{5}\\\\x=-7[/tex]
The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super savings coupon of 45%, how much did Ms. Rowlen pay for the tv?
Answer:
142.55
Step-by-step explanation:
What is the value of b in centimters?
I estimate about 27 cm
have a nice dayyyy
Charles is a real estate agent. He earns 3% commission on every house he sells. He just sold a house for $20,000. What is the commission he earns for selling this house?
Answer: 600
Step-by-step explanation:
Hope this helps!
The LCM of 2, 3, and 4 is _____. 24 12 6
Answer: the answer is 12
Step-by-step explanation: trust me
The LCM of 2,3, and 4 is 12.
What is LCM?The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.
The given numbers are 2,3 and 4.
The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.
The lowest number that can be divisible by 2,3 and 4 is 12.
Therefore, the LCM of 2,3, and 4 is 12.
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4.69 divided by 3.5 please help
Answer:
1.34
Step-by-step explanation:
Used a Calculator
Answer:
1.34
Step-by-step explanation:
4.69/3.5
=1.34
Here is your answerPlz mark me as brainliest5) - 2y = -2x
slope intercept form please someone help i don’t have much time
[tex]\text{Given that,}\\\\-2y = -2x\\\\\implies y = x\\\\\implies y = x+0\\\\\\\text{This is the slope- intercept form(y=mx+b) of the given equation,}\\ \text{where the slope is 1 and y - intercept is 0.}[/tex]
what is the 60th term of the sequence 2, -3, -8, -13?
Answer:
-293
Step-by-step explanation:
The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...
an = a1 +d(n -1)
an = 2 -5(n -1)
The 60th term is ...
a60 = 2 -5(60 -1) = -293
can someone help me answer this
[tex]32^{-\tfrac 25}\\\\=(2^5)^{-\tfrac 25}\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\=\dfrac 14[/tex]
Determine whether the ratios form a proportion.
16/9, 28/15
Answer:
No
Step-by-step explanation:
One way of doing this problem is to reduce the given fractions as much as possible. Unfortunately, neither ratio reduces. So the fraction 16/9 is NOT equal to the fraction 28/15 and our conclusion must therefore be "the rations do not form a proportion."
Answer:
hope it helps 12 : 9 = 28 : 15
is FALSE
Ryan, Alec and Amani went to ShopRite to buy boxes of fruit. Ryan bought 2 boxes of strawberries, 1 box of apples, and 4 boxes of blueberries for $34. Alec bought 3 boxes of strawberries, 2 boxes of apples, and 2 boxes of blueberries for $35. Amani bought 5 boxes of strawberries, 3 boxes of apples, and 2 boxes of blueberries for $49. How much does an individual box of strawberries, apples, and blueberries cost?
Answer:
5.
Step-by-step explanation:
First, we need to add all the number of baskets Ryan bought first. The equation should look something like this;
34÷(2+1+3)
Our answer is 4.8571428571. However, to put it in simplest terms, we can just say 4.85.
Now, we just keep changing up the numbers but with the same division we were using for Ryan's price on the fruit.
Alec's: 35÷(3+2+2)=5
Amani's: 49÷(5+3+2)=4.9
Notice how all the answers we get answers related to 5. If we all round the numbers, we actually get 5!
So, I believe your answer is 5. I'm terribly sorry if I'm incorrect. (If I am, I will try to fix it in the comments for you)
please help! here’s the question thank you !
Answer: They just needed to do process of eliminaion. :I
Step-by-step explanation:
Helpppppppppp plssssssssss
Answer:
12 in.
Step-by-step explanation:
We already know that the bottom line all together is 19 inches, and the line for the top of the square box at the end is also 7in. We can then infer that the top line of 7 cm is the same as the bottom line, so we therefore do 19 - 7 which equals to 12. Hope this helps.
Channing jogs 10 miles a week. How many miles will she jog in 57 weeks?
Answer:
Simple! Multiply 57 by 10...
The answer is 570 miles in 57 weeks!
Answer:
570 miles per 57 weeks
Step-by-step explanation:
set a proportion;
10 miles x miles
----------- = ------------
1 week 57 weeks
57/1 = 57
10 x 57 = 570
x = 570
Rewrite the fraction 2/7 as a division expression with the same numbers.
Answer:
EZ. Btw you kinda already did it. 2/7 is a division problem. Another way is 2 divided by 7
Step-by-step explanation:
Question 6 of 25
Evaluate 4(x - 3) + 5x - x2 for x = 3.
-
[tex]\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6[/tex]
I need help with something in school.
Answer:
what do you need help with
Step-by-step explanation:
:)
Answer:
ask......
Step-by-step explanation:
On New Year’s Day 2021, your uncle put $3 dollars in his safe for you that he says will grow exponentially until you decide to take it out. If you take the money out on New Year’s Day 2023, the money will have grown to $18.75. You decide that you will ask for the money on New Year’s Day 2031. How much money will you receive then?
if 18.75 - 3 = 15.75
if every 2 years you get 15.75
if from 2023 to 2031 is 8 years
then 8 divided by 2 = 4
so 15.75 * 4 = 63
then the answer is 63
88800 divided by 10 to the second power explanation of change in digits
Answer:
4440
Step-by-step explanation:
easy. 10 to the 2nd power is 20 so whats 88800 divided by 20? To find out you use a calculator like i did :). Or you can count by 20's. either way you'll get 4440.
A solution to the linear equation 6x+2y=-32 is. ( _ ,8)
Answer: -8
The ordered pair solution is ( -8, 8 )
=====================================================
To get that answer, we plug in y = 8 and solve for x.
6x+2y = -32
6x+2(8) = -32
6x+16 = -32
6x = -32-16
6x = -48
x = -48/6
x = -8
So that's how we end up with ( -8, 8 ). This point is on the line 6x+2y = -32.
Nick is going to roast some marshmallows over a campfire tonight. Nick buys 4 bags of marshmallows. Each bag costs $3. Nick also buys a $2 lighter
Answer: 14
Step-by-step explanation: I solved the equation
Answer:
14 dollars
Step-by-step explanation: