All categories

3 years ago

A pile of 55 coins consisting of nickels and dimes is worth $3.90 . Find the number of each.

Mathematics

1 answer:

Step2247 [10]3 years ago

7 0

Answer:

Answer:

Answer is: 32 nickels and 23 dimes.

x - number of nickels .

y -number of dimes.

two equations in two unknowns:

1) x + y = 55

2) 0,05x + 0,1y = 3,90.

nickel is a five-cent coin.

dime is a ten-cent coin.

solve equation 1) for x and substitute for x in equation 2)

x = 55 - y

0,05·(55 - y) + 0,1y = 3,902,75 - 0,05y + 0,1y = 3,90

0,05y = 1,15

y = 23.

x = 55 - 23 = 32.

You might be interested in

What is the product (-6a^3b+2ab^2

Irina-Kira [14]

you have to apply this formula (a+b)(c-d)=ac-ad+bc-bd

-6a^3*b*5a^2+6a^3b*2ab+6a^3b*b+2ab^2*5a^2-2ab^2*2ab-2ab^2*b=

-30a^5*b+12a^4b^2+6a^3b^2+10a^3b^2-4a^2b^3-2ab^3

4 0

3 years ago

You are buying a home for $158,950. You have an annual interest rate of 3.72% over the next 30 years. How much is the final cost

jeka57 [31]

The answer is $475,484 I believe

7 0

3 years ago

Evaluate log 2 over 3

svetoff [14.1K]

Log 2 over 3 = 0.10034333188

7 0

3 years ago

26,) If y varies inversely as x, and y = 5 as x = 6, find y for the x-value of 10.

melisa1 [442]

Answer:

Step-by-step explanation:

the initial statement is

y ∝ 1 /x

to convert to an equation multiply by k the constant

of variation

y = k × 1 /x = k /x

to find k use the given condition

y = 5 when x = 6

y = k/ x ⇒ k = y x = 5 × 6 = 30

y = 30 /x

when

x = 10

then

y = 30 /10 = 3

4 0

2 years ago

Read 2 more answers

Evaluate n+2x2 when n=3 and x=−2.

krok68 [10]

Answer:

When n=3 and x=−2 the answer is 11.

Step-by-step explanation:

Given:

Let p (n,x) be the function such that

$p (n,x) = n + 2x^{2}$

To Find:

p (n,x) = p ( 3, -2) = ?

Solution:

$p (n,x) = n + 2x^{2}$

Substituting n = 3 and x = -2 we get

$p (3, -2) = 3 + 2(-2)^{2}$

Negative square gives positive number therefore (-2)²=4

$p (3, -2) = 3 + 2\times 4$

$p (3, -2) = 3 + 8\\p (3, -2) = 11$

When n=3 and x=−2 the answer is 11.

7 0

3 years ago