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r-ruslan [8.4K]
3 years ago
12

Paul has a collection of nickels and

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

Answer:

#nickels = 50

#dimes = 100

Step-by-step explanation:

system of equations:

n + d = 150

.05n + .10d = 12.50

let n = '150 - d' and substitute this into the second equation

.05(150-d) + .10d = 12.5

7.5 - .05d + .10d = 12.5

.05d = 5

d = 5/.05

d = 100

n = 50

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There were 30 students in the gym. 70% of the students in the gym were playing basketball. How many students in the gym were pla
seropon [69]

Answer:

21

Step-by-step explanation:

you multiply 30 by 0.7 and you get 21.

6 0
3 years ago
Read 2 more answers
My mother is 12 years more than twice my age.after 8 years she will be 20 years less than three times my age...find my age and m
Mnenie [13.5K]
You are correct for the first part, you would be 16 and your Mom would be 44. After 8 years, you would be 24 and your mother would be 52. You solve the second part by adding 8 to 16 which equals 24. Then multiply 24 times 3 which equals 72. Lastly, subtract 20 from 72 to find your mother's new age. Which would be 52.

Hope this helps !

4 0
3 years ago
A cylindrical can and a cone-shaped paper cup have the same radius and weight. If you use the cone to fill the van with water ho
Marta_Voda [28]

Answer:

3 cones

Step-by-step explanation:

It is given that there is a cylindrical shaped can and also a coned shaped paper cup. The radius and height of both the cylindrical can and the cone shaped paper cup are same.

So when we fill the cylindrical can with the full coned paper cup, it will take three cones of the paper cup to fill the can with water. This because the volume of a cone is $\text{one-third}$ of the volume of a cylinder that have the same base radius and height.

3 0
3 years ago
A solar panel dealer acquires is used panel for $9,000, with terms FOB shipping point. Compute total inventory cost assigned to
malfutka [58]

Answer:

Total inventory cost is $9,965.

Step-by-step explanation:

The terms free on board FOB shipping point implies that the delivery of a good is taken by the buyer after it left the supplier's shipping dock. Therefore, any other relevant cost incurred afterwards will be paid by the buyer.

From the all the cost listed in the question, the $1,500 for sales staff salaries, $110 for online advertising, and $300 for lawn care are NOT related to the inventory cost because they are administrative and sales expenses.

Therefore, the total inventory cost can be calculated using the following relevant cost:

Acquisition cost = $9,000

Transportation-in by train = $280

Shipping insurance = $135

Used panel restoration = $550

Therefore, we have:

Total inventory cost = Acquisition cost + Transportation-in by train + Shipping insurance + Used panel restoration = $9,000 + $280 + $135 + $550 = $9,965.

3 0
3 years ago
23. * MULTIPLE CHOICE Which is the correct factorization of -45x^2 + 20y^2
skad [1K]

Answer:

c)-5(3x+2y)(3x-2y)

Step-by-step explanation:

1) lets find out if -45 and 20 have a GCF

-45 and 20 are both dividable by -5 so

-5(9x^2-4y^2)

1) you can see that 9 and -4 are perfect square so:

-5(3x+2y)(3x-2y)

            Recheck:

1) lets use FOIL to see if this is right(if its right we will get back our original equation)

-5(9x^2-6xy+6xy-4y^2)

-5(9x^2-4y^2)

-45x^2+20y^2

hope this helps!

7 0
3 years ago
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