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3 years ago

What is the value of x?

Mathematics

2 answers:

user100 [1]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

Inga [223]3 years ago

3 0

Answer: x = 1/2

Step-by-step explanation too lazy to write that

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An element with a mass of 990 grams decays by 16.9% per minute. To the nearest Minute, how lon will it be until there are 80 gra

Igoryamba

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3 years ago

There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are lo

Alexxx [7]

Answer:

176 books

Step-by-step explanation:

Let's call the number of fiction books 'F', and the number of non-fiction books 'N'. Then, we can write the following system of equations:

eq1:

$F = 3N$

eq2:

$2*(F - 122) = (N - 24)$

$2F - 244 = N - 24$

$2F = N + 220$

Using the 'F' value from the first equation, we have:

$6N = N + 220$

$5N = 220$

$N = 44\ books$

$F = 3N = 132\ books$

The total number of books is:

$F + N = 132 + 44 = 176\ books$

5 0

3 years ago

Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind of coins does she have?

Nookie1986 [14]

Answer:

There would be 24 dimes and 76 quarters.

Step-by-step explanation:

In order to find this, start by defining the number of dimes by x and the number of quarters as y. Now we can create a system of equations. Make the first about the total number of coins.

x + y = 100

Make the second about the amount of money.

.10x + .25y = 21.40

Now we can solve using elimination by multiplying the second equation by -4 and adding through.

x + y = 100

-.40x - y = -85.60

-----------------------

.60x = 14.4

x = 24

Now we can use the amount of dimes we have to find the number of quarters.

x + y = 100

24 + y = 100

y = 76

3 0

3 years ago

in 15 years Pam hope to have $30,000to make a down payment on a house. how much would she need to invest right now in a mutual f

Goryan [66]

Answer:

She needs to invest $13,636.36 right now

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$