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Serggg [28]
3 years ago
9

Max and Maggie have to clean the house. It takes Max 12 hours to clean the house, while Maggie can complete the task in 4 hours.

Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation, and determine if the sister is correct or not.
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0
The older sister is correct.
1/12+1/4=1/x, with the numerators being the amount and the denominators being the time. We'll multiply them all by the GCF
x+3x=12
Then all we need to do is solve for x:
4x=12
x=3
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A worker can assemble 3 shelf units each hour. During the fifth hour of the shift, there were 115 shelf units in the warehouse.
nasty-shy [4]
A worker can assemble 3 shelf units each hr. During the 5th hr...so the shift has been going on for 5 hrs...at 3 units per hr = (3 * 5) = 15 units assembled during the shift....and if there was 115 units in the warehouse, then that means before the shift, there were (115 - 15) = 100 units assembled <=
4 0
3 years ago
Factor 24x-40 using GCF
posledela

Answer:

8(3x-5)

8 is the GCF of 24 and 40 so you write 8 and in brackets you put your terms after you divide by 8 so you get 3x and -5 so it is written as 8(3x-5)

3 0
3 years ago
HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid
aalyn [17]

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

3 0
3 years ago
This is the range of sample statistics obtained when many samples are selected?
Leno4ka [110]
The range of sample statistics obtained when many samples are selected is a sampling distribution. A sampling distribution is also a probability distribution of the statistics obtained in the large number of samples drawn from a specific population. It also shows every possible result that the statistic can take in every possible sample from the population and how often will each results happens.
4 0
3 years ago
Rodney bought a 50 pound bag of dog food. HIS dog ate 2/5 of the food in the first mon th and 2/10 of the food in the second mon
NeTakaya

Answer:

20 lbs

Step-by-step explanation:

2/5ths of the food would be 20 pounds because:

2/5 * 50 = 20

2/10ths of the food would be 10 pounds because:

2/10 * 50 = 10

If we add those two together, we would get the total amount that the dog ate, which would be 30 pounds. SInce the dog ate 30 pounds of food out of the 50 pounds, there would be 20 pounds left in the bag at the end of two months:

50- ( 20+ 10) = 20

4 0
3 years ago
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