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adell [148]
3 years ago
14

A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and d

imes are there in the piggy bank? The piggy bank has nickels and dimes. NextReset
Mathematics
2 answers:
Fantom [35]3 years ago
8 0
There are 24 dimes and 64 nickles
Vlad1618 [11]3 years ago
3 0

Answer:

64 nickels and 24 dimes

Step-by-step explanation:

Let there be x nickels and y dimes

The number of nickels is 8 less than 3 times the dimes

i.e. x = 3y-8

Value of the coins = 5x+10y

= 560 cents (given)

Substitute x value in the second equation

5(3y-8)+10y = 560\\25y = 600\\y =24\\

Substitute in

x = 3y-8\\=64

There are 64 nickels and 24 dimes.

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vlada-n [284]
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6 0
4 years ago
Find the nth term of each of the sequences.<br> (a) 16, 19, 22, 25, 28, ...<br> (b) 1,3,9,27,81,...
juin [17]

Answer:

a) 16, 19, 22, 25, 28, 31, 34, 37, 40

b) 1, 3, 9, 27, 81, 243, 729, 2187

<h3>Explanation:</h3>

a) Add 3 on every number.

b) Multiply every number by 3.

6 0
3 years ago
Please help with #1 and explain your answers! Thank you
sashaice [31]

1a) False. A square is never a trapezoid. A trapezoid has only one pair of parallel sides while the other set of opposite sides are not parallel. Contrast this with a square which has 2 pairs of parallel opposite sides.

1b) False. A rhombus is only a rectangle when the figure is also a square. A square is essentially a rhombus and a rectangle at the same time. If you had a Venn Diagram, then the circle region "rectangle" and the circle region "rhombus" overlap to form the region for "square". If the statement said "sometimes" instead of "always", then the statement would be true.

1c) False. Any rhombus is a parallelogram. This can be proven by dividing up the rhombus into triangles, and then proving the triangles to be congruent (using SSS), then you use CPCTC to show that the alternate interior angles are congruent. Finally, this would lead to the pairs of opposite sides being parallel through the converse of the alternate interior angle theorem. Changing the "never" to "always" will make the original statement to be true. Keep in mind that not all parallelograms are a rhombus.

8 0
3 years ago
Read 2 more answers
Given 2x^2=-8, x is<br><br> A.-2<br> B. 2<br> C. 2i or -2i<br> D. 4i or -4i
Lera25 [3.4K]

Answer:

2i or -2i

Step-by-step explanation:

2x² = -8     First, clear x.

x² = -8/2    Solve

x² = -4        Now, eliminate the square of x by solving the square root of -4.

x = √-4

x = 2i or -2i Is an imaginary number.

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