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V125BC [204]
4 years ago
14

pencils are sold in packages of 10 and erasers are sold in packages of 6 what is the least number of pencils and erasers you can

buy so that there is one pencil and eraser with none leftover
Mathematics
2 answers:
Keith_Richards [23]4 years ago
6 0
6packs of pencils and 10packs of eraser's
harkovskaia [24]4 years ago
5 0

Answer: There should be 3 pencils and 5 erasers.

Step-by-step explanation:

Since we have given that

Number of packages of pencil = 10

Number of packages of erasers = 6

We need to find the least number of pencil and erasers.

L.C.M of 10 and 6 = 30

So, the number of pencils would be

30÷ 10 = 3

The number of erasers would be

30 ÷ 6 = 5

Hence, there should be 3 pencils and 5 erasers.

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A high school basketball player attempted 42 free throws in a season. An analyst determined that the player successfully made 5
patriot [66]
The answer is 35 free throws
5 0
4 years ago
Read 2 more answers
140 degrees decreased by 65%
BaLLatris [955]
Hey there! 
<span>Here are the steps involved: 
</span>
1.Change 65% into a decimal. Move the decimal two places to the left and you get 0.65.

2. Multiply 0.65 by 50.
<span>140 x 0.65 = 91.

3. Since you are decreasing 140 by 65%, subtract 140 by 91. 
140-91= 49


</span><span>(If you feel that my answer has helped you, please consider rating it and giving it a thank you! Also, feel free to make the best answer, the brainliest answer!)
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<span>Thank you! :D</span>


7 0
3 years ago
(a) find parametric equations for the line of intersection of the planes x + y + z = 2 and x + 7y + 7z = 2
nlexa [21]
Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2

and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>

The cross product n1 x n2
vl=
 i  j  l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>

By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.

Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t

3 0
3 years ago
An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000,
Fynjy0 [20]

Answer:

C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

\text{Machine A}=10\cdot 120(\$40)\\\text{Machine A}=\$48,000

\text{Machine B}=10\cdot \$100(\$40)\\\text{Machine A}=\$40,000

Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:

\text{Overall cost of machine A}=\$40,000+\$48,000+\$30,000

\text{Overall cost of machine A}=\$118,000

\text{Overall cost of machine B}=\$50,000+\$40,000+\$20,000

\text{Overall cost of machine B}=\$110,000

Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.

6 0
3 years ago
What expression is equivalent to 9(3x + 8)? *
Nat2105 [25]

Step-by-step explanation:

This is what it is equal to:

9×3x=27x

9×8=72

Therefore it will be:

27x + 72

hope it helps!

8 0
3 years ago
Read 2 more answers
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