Answer:
[tex]\frac{\sqrt[4]{15} }{16}[/tex]
Step-by-step explanation:
You cannot leave a radical in the denominator, so the first step is to get rid of it. The way you do that is by multiplying the radical in the denominator by itself over itself because anything over itself is equal to 1. So, for example in this problem:
[tex]\frac{\sqrt{15}}{\sqrt{16} } *\frac{\sqrt{16}}{\sqrt{16} }[/tex]
From here you multiply straight across. The numerator will be equal to [tex]\sqrt{240}[/tex] and the denominator will be 16 because any radical multiplied by itself cancels the radical out and just equals the number inside of the radical. The last step is to simplify the numerator. You do this by finding factors of 240 which are:
1 * 2402 * 1203 * 804 * 605 * 486 * 408 * 3010 * 2412 * 2015 * 16You want to use the greatest factor you have so you can break it down easier which in your case is (15 * 16). From here you simplify each of those numbers until you have a duplicate of something. The greatest factor of 15 is 3 * 5, so that won't simplify because there are no duplicate numbers. The greatest factor of 16 is 4 * 4 which means that it will simplify. When you are simplifying the duplicate (4) always goes outside of the radical and the non-duplicate (15) always goes on the inside of the radical. Your answer should look like this:
[tex]\frac{\sqrt[4]{15} }{16}[/tex]
Molly O'Rourke assembles computers for Radius Computer. She works 8 hours per
day less 2 breaks at 15 minutes per break. She spends 45 minutes on each
computer. How many computers should she be able to assemble in one day?
Answer:
10
Step-by-step explanation:
I converted 8 hours to minutes so solve the equation easily
8 hours = 480 minutes
I subtracted the amount of time she takes for a break
480- (15+15) = 450
To find the number of computers she could repair I divided 450 by the number of minutes she spends repairing one computer.
[tex]\frac{450}{45}[/tex]= 10
Therefore, she could fix 10 computers during her 8 hours of work.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Alex drives at an average speed that is 1 6 of the average speed that Roy's train travels. Alex takes 20 minutes to travel 12 km in her car. Roy travels for 2 hours and 20 minutes on his train. How far does Roy travel to 2 dp?
Answer:
336.00?
not 100% sure though
Help me pls right now I give brainliest
Answer:
4 + (2 x 3)^2
Step-by-step explanation:
4 + 6^2
4 + 36
40
Sophia wants to buy a digital camera for $145.40. She has $ 37.90 and is saving $ 2.50 each week. In how many weeks will she have enough money saved to purchase the camera?
Answer:
43 weeks
Step-by-step explanation:
145.40 - 37.90 = 107.5
107.5/2.50 = 43
A water tank is being filled by two inlet pipes. Pipe A can fill the tank in 4 hours, while both pipes
together can fill the tank in 2 hours. How long does it take to fill the tank using only Pipe B?
2 Hours
this is because one pipe takes 4 hours, and if both pipes take 2 hours, that is cutting the time in half, meaning both pipes pour the same amount and take the same time.
hope this is helpful!
PLEASE NO LINKS AND NO NEGATIVITY
plssssssssssssssssss
Answer:
1. RQP
2. QOP
Step-by-step explanation:
the answer for the first question is RQP and the answer for the second question is QOP
Answer:
i)PQO
ii)QOP
Step-by-step explanation:
Select all of the phrases that could be
represented by the algebraic expression
3n - 3
This doesn’t make sense
The phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
Let's translate each of the given phrases to algebraic expressions in order to determine which of them can be represented as 3n - 3.
Option 1:
3 fewer than n is represented as, n - 3
Option 2:
difference between n and 3 is represented as, n - 3.
Option 3:
3 times n is 3n
3 fewer than 3n is represented as 3n - 3.
Option 4:
product of 3 and n is represented as 3n.
Option 5:
3 less than 3n is represented as 3n - 3.
Therefore, the phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
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What is the area of the figure?
Answer:
So the answer would be 21 because the side is longer than 12 but not longer than 21
28 less than twice a number is equal to 6 . Find the number.
Answer:
x = 17
Hope you could get an idea from here.
Doubt clarification - use comment section.
There are 5 roses in a vase of 13 flowers. The rest are daisies.
a) What is the ratio of daisies to roses?
(b) What is the ratio of all flowers in the vase to daisies?
pls answer these
What is the ratio of cosine of C?
A 24/7
B 24/25
C 7/25
D 25/24
Answer:
Cos C = adjecent/hypotenuse
Cos C = 14/50
divide the numerator and the denominator by 2
Cos C = 7/25
The answer is C
2 people start from the same spot one walking east the other walking west, the person walking east walks slowly at 4mph and the other person walks fast at 6mph writr and solve a system of equations that can be used to determine how ong until 2 people are 2 1/2 miles apart from ach otherr
Answer:
3\5
Step-by-step explanation:
Mr Page uses oil to heat his home.
At the beginning of November there were 1000 litres of oil in his oil tank.
Mr Page bought enough oil to fill the tank completely.
He paid 50p per litre for this oil.
He paid a total amount of £750
At the end of February Mr Page had 600 litres of oil in the tank.
He bought enough oil to fill the tank completely.
The cost of oil had increased by 4%.
Work out the total amount Mr Page paid for the oil he bought in February.
The total amount Mr Page paid for the oil he bought in February was $21,580.
Since Mr Page uses oil to heat his home, and at the beginning of November there were 1000 liters of oil in his oil tank, and Mr Page bought enough oil to fill the tank completely, and he has paid $50 per liter for this oil, and he has paid a total amount of $750, while at the end of February Mr Page had 600 liters of oil in the tank, and he has bought enough oil to fill the tank completely, and the cost of oil had increased by 4%, to determine the total amount Mr Page paid for the oil he bought in February, the following calculation must be performed:
1000 + (750 / 50) = X1000 + 15 = X1015 = X1015 - 600 = 415415 x (50 x 1.04) = X415 x 52 = X21,580 = XTherefore, the total amount Mr Page paid for the oil he bought in February was $21,580.
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Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?
The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.
What is the difference between average and instantaneous speed?The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.
For instantaneous speed and average speed are equal for an object moving with constant speed.
The total distance travelled is given as 496 miles.
And, the total time taken is 8 hours.
Average speed can be calculated by taking the ratio of total distance and time as follows,
Total distance ÷ Total time
⇒ 496 ÷ 8
⇒ 62
Hence, the average speed is given as 496 miles per hour.
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Two what expression must 5a²-4a+3 be added to make the sum zero?
What is the volume of a cube with sides of length 15 mm?
can someone pls help i need your help
Answer:
12 miles
Step-by-step explanation:
You would have to divide $26.40 by $2.20 which equals 12 so she traveled 12 miles.
Which expression has a sum of 1 2/21
A. 3/7 + 2/3
B. 4/7 + 1/3
C. 5/7 + 2/3
D. 6/7 + 1/3
Answer:
A. is the answer
Step-by-step explanation:
the LCM of 7 and 3 is 21.
When added it would be 9+14 =23
23/21= 1 2/21
Felipe jogs for 3 miles and then walks another 3 miles. He jogs 1 and 1/2 miles per hour faster than he walks, and the entire distance of 6 miles takes 3 hours. Find the rate at which he walks and the rate at which he jogs.
Answer:
walking: 1.5 mphjogging: 3 mphStep-by-step explanation:
Let w represent Felipe's walking speed in miles per hour. Then his total travel time is ...
time = distance/speed
3 = 3/w +3/(w+1.5) . . . . . total time is the sum of walking and jogging times
1 = 1/w +1/(w +1.5) . . . . . divide by 3
w(w +1.5) = (w+1.5) +w . . . . multiply by w(w+1.5)
w^2 -0.5w -1.5 = 0 . . . . . . subtract 2w+1.5
(w -1.5)(w +1) = 0 . . . . . . . factor
The values of w that make this equation true are w = 1.5 and w = -1. Only the value 1.5 makes any sense in this scenario. Felipe's jogging speed is then 1.5+1.5 = 3 mph.
Felipe walks at 1.5 mph and jogs at 3 mph.
The equation and graph show the cost to rent movies
from two different companies. The cost is a function of
the number of movies rented.
Which description best compares the two functions?
Answer:
Hello! Your answer should be there is a higher rate of change at Company 1.
Step-by-step explanation:
Hope this helped! :)
Have a great rest of your day!
Marsha used a graphing calculator to graph an expense and a revenue function for her family’s printing business. The graph looked like the one below. What are the approximate breakeven points? *
The approximate breakeven points of the given functions are 15 and 47.
The breakeven point is the point where the total revenue equals to total expenses.
At this point, there is no profit or loss. That is the net profit is zero and he net loss is zero.
From the given graph, the dashed line represents the expense function while the solid line represents the revenue function.
The breakeven point occurs at the intersection of the expense and revenue line.The first breakeven point occurs at x = 15.The second breakeven point occurs at x = 47.Thus, the approximate breakeven points of the given functions are 15 and 47.
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Answer: 15 and 47
Step-by-step explanation:
Which is the value of x?
10
7
Answer: 12.2
Step-by-step explanation: Pythagorean Theorem
Please help guys this is just domain and range
Answer:
Domain: (0,3)
Range: (0,1)
Step-by-step explanation:
Domain is the interval of the x-axis of the graphed function
Range is the interval of the y-axis of the graphed function
A man owns a store. One week he sells 100 loaves of bread. If he sells twice as many loaves the next week, how many loaves did he sell in total
Mathew grew a sunflower that was 1 7/8 meters tall. She cut 3/4meters off the height. How much of the steam is left?
[tex] \huge{꧁\: \large \frak{ \huge question } \: \huge꧂}[/tex]
what's the Answer ?
[tex]5 - 5 \div 5[/tex]
Answer:
[tex]5 \div 5 = 1[/tex]
[tex]5 - 1 = 4[/tex]
Hence , 4 is the answer !!Answer:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Step-by-step explanation:
5/5 =1
5-1 = 4
*4 is the ANSWER
(Have a Great Day)
create an equivalent ratio to 20:24 by dividing both sides by 4
Answer:
5:6
Step-by-step explanation:
20 divided by 4 = 5
24 divided by 4 = 6
So the ratio is 5:6
The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales.
Book Sales Revenue
What is the constant of proportionality?
0.67
1
1.5
2
Answer:
1.5
Step-by-step explanation:
6/4
Answer:
it's C. 1.5
Step-by-step explanation:
I did the test
Plz solve the problem.
Answer:
x = 7
Step-by-step explanation: