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Effectus [21]
2 years ago
10

Elena packed 48 cubes into this box.Each cube has edges that are 1 centimeter.How many layers of cubes did Elena make

Mathematics
1 answer:
solniwko [45]2 years ago
4 0
Elena packed 48 cubes.
Each cube has an edge of 1 centimeter.
The number of layers that Elena can make depends on how each layer is arranged and depends on how many cubes are there in a layer.
Assume that each layer has  only 1 cube, then there are 48 layers.
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Solve the Equation <br> 2x-3=14<br> -x+3y=-6
andriy [413]

Step-by-step explanation:

If you lost "y" in the first equation.

\underline{+\left\{\begin{array}{ccc}2x-3y=14\\-x+3y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad x=8\\\\\text{Put the value of x to the first equation:}\\\\2(8)-3y=14\\16-3y=14\qquad\text{subtract 16 from both sides}\\-3y=-2\qquad\text{divide both sides by (-3)}\\y=\dfrac{2}{3}\\\boxed{x=8,\ y=\dfrac{2}{3}}

If first equation is correct.

2x-3=14\qquad\text{add 3 to both sides}\\2x=17\qquad\text{divide both sides by 2}\\x=8.5\\\\\text{Put the value of x to the second equation:}\\-8.5+3y=-6\qquad\text{add 8.5 to both sides}\\3y=2.5\qquad\text{divide both sides by 3}\\y=\dfrac{2.5}{3}\\y=\dfrac{25}{30}\\y=\dfrac{5}{6}\\\\\boxed{x=8.5,\ y=\dfrac{5}{6}}

6 0
2 years ago
Bob discovers a box with 30 identical, used, rechargeable batteries in his attic.
monitta

Answer:

a) All of them are out of charge = 9.31x10⁻¹⁰

b) 20% of them are out of charge = 5.529x10⁻⁴

Step-by-step explanation:

This problem can be modeled as a binomial distribution since

There are n repeated trials and all of them are independent of each other.

There are only two possibilities: battery is out of charge and battery is not out of charge.

The probability of success does not change with trial to trial.

Since it is given that it is equally likely for the battery to be out of charge or not out of charge so probability of success is 50% or 0.50

P = 0.50

1 - P = 0.50

a) All of them are out of charge?

Probability = nCx * P^x * (1 - P)^n-x

Probability = ₃₀C₃₀(0.50)³⁰(0.50)⁰

Probability = 9.31x10⁻¹⁰

b) 20% of them are out of charge?

0.20*30 = 6 batteries are out of charge

Probability =₃₀C₆(0.50)²⁴(0.50)⁶

Probability = 5.529x10⁻⁴

5 0
3 years ago
Marcus traveled 45.5 miles in 3.25 hours. Part A How many feet did Marcus travel? (1 mile=5,280 feet)​
snow_lady [41]

Answer:780,780 I don't know if it is right though.....

Step-by-step explanation:

3 0
2 years ago
Divide the number in the thousands place by itself and then multiply the answer by 0. Write your answer in the tenths place
Ivanshal [37]
Number: 1111
1111/1111=1
1*0= 0
Now put 0 in the tenths place
01

Hope this Helped :)
5 0
3 years ago
You are paid $10 an hour as a wage. you worked 36 hours this week. What is your weekly wage?
barxatty [35]
You will get 360$ as your weekly wage. Because you are multiplying the amount you get from an hour, to the number of hours.
4 0
2 years ago
Read 2 more answers
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