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 dimes are there in the piggy bank?

Answers

Answer 1

Answer: the value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60

then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8

we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60

now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60

then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60

then we can add 0.40 to both sides
0.25d = 6.00

then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes

then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64

therefore we have
64 nickels
and
24 dimes

Answer 2

Answer:

Answer:

24 dimes

64 nickels

Step-by-step explanation:

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how?

Answers

Answer:

see explanation

Step-by-step explanation:

using the identity

cos²x = 1 - sin²x

consider the left side

$(1-cosx)/(sinx)$

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= $((1-cosx)(1+cosx))/(sinx(1+cosx))$ ← expand numerator

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How many solutions does the nonlinear system of equations graphed belowhave?A. TwoB OneO C. ZeroO D. Four

Answers

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What is 2/5 x 15 and what is 7 x 3/7

Answers

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Five more than “n” is equal to 9.

Answers

Answer:

whats the question?

Step-by-step explanation:

Answer:

n=4

Step-by-step explanation:

To write this equation, we know that five more than n equals 5. The word "more" implies we are adding. So we can write n+5=9 as our equation. We need to isolate the variable, so we get only n on one side. So we subtract 5 from each side to isolate. 9-5=4. So our new equation is n=4. This is also our answer!

I hope this has helped you!

Consider the quadratic equation y = –3x2 – 2x + 4. A. Find the value of the discriminant. B. How many real roots does the equation have? C. Does the vertex of the graph of the equation lie above, on, or below the x-axis?

Answers

A. discriminant = 52;
B. 2, because 52 > 0
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Complete the pairs of corresponding parts if △ RST ≅ △ TXY. ∠ R =
∠ XYT
∠ XTY
∠ TXY

Answers

Solution:

Given: △ RST ≅ △ TXY

We are given ΔRST and ΔTXY are congruent to each other.

If two triangles are congruent to each other then their corresponding parts are equal.

Please see the attachment of two triangles.

∠R is corresponding to ∠T

∵ ∠R=∠T By CPCT

∠XYT is corresponding to ∠STR

∵ ∠XYT=∠STR By CPCT

∠XTY is corresponding to ∠SRT.

∵ ∠XTY=∠SRT By CPCT

∠TXY is corresponding to ∠RST

∵ ∠TXY=∠RST By CPCT

CPCT: Congruent part of congruence triangle.

So, two triangles are similar. Ordering of letters matters when you are writing this down. So, RST~TXY, then ∠R = ∠T, or ∠TRS = ∠YTX = ∠XTY

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