What is the value of 3 + (-1/4)² ÷ 1/2?<br><br> A. 6 1/8<br> B. 21 1/8<br> C. 7<br> D. 3 1/8

You have total coins for a total of $. . You only have quarters and dimes. Let represent the number of quarters and represent th

Sonja [21]

Answer:

$Quarters = 41$

$Dimes = 18$

Step-by-step explanation:

Given

$Coins = 59$

$Worth = \$12.05$

$d = dimes$

$q = quarters$

Required

The number of each coin

The total coins can be represented as:

$d + q = 59$

$1\ quarter = \$0.25 \\ 1\ dime = \$0.10$

So, the worth of the coin is:

$0.25q + 0.10d = 12.05$

The equations to solve are:

$0.25q + 0.10d = 12.05$

$d + q = 59$

Make d the subject in: $d + q = 59$

$d =59 - q$

Substitute $d =59 - q$ in $0.25q + 0.10d = 12.05$

$0.25q + 0.10(59 - q) = 12.05$

$0.25q + 5.9 - 0.10q = 12.05$

Collect like terms

$0.25q - 0.10q = 12.05 - 5.9$

$0.15q = 6.15$

Solve for q

$q=\frac{6.15}{0.15}$

$q=41$

Substitute $q=41$ in $d =59 - q$

$d = 59 - 41$

$d = 18$

So:

$Quarters = 41$

$Dimes = 18$

5 0

3 years ago

How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid?

tiny-mole [99]

My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution)
in simple terms: %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x) simplify/ distribute
0.6x + 12 = 25 +0.5x get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13 divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.

8 0

3 years ago

Read 2 more answers

Which expression is a trinomial of degree 1?<br> A. x^3+x^2-x<br> B. xy^2<br> C. 6+x-y<br> D. 3x-y

ki77a [65]

C

Trinomial means three parts
A and C or trinomial's but the degree on a is at three and the degree of C is a one

7 0

3 years ago

Read 2 more answers

If Gage gets 40 bucks a month how much months would it take him to get 300 bucks.

USPshnik [31]

Answer:

7 to 8 months / most probably 8 months

7.5 months to be exact

Step-by-step explanation:

Hi there!! Let's work!

So lets Break it down,

Given: $40 every month

Prove: How many months till he has in total $300

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

<h2>We need to multiply the number of months to 40 to get 300</h2>

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<h3>So lets refer to a multiplication chart to make it easier:</h3>

||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

<h3>Here is an example of the equation we will use:</h3>

<u>400 x (months) = $300 / (or how much ever we get)</u>

```````````````````````````````````````````````````````````````````````````````````````````````````````````````````````

We have 2 final equations because we don't have a straight forward answer. (Refer to explanation below)

40 x 7 = 280

and

40 x 8 = 320

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

So in problems like these we have to think like we would in real life, if you have an option you can write 7 to 8 months or you should write 8 instead of seven since they may be asking for a specific amount of months and after 8 months Gage will reach (surpass) his goal of $300 by $20.

`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````

If you learned from my answer please rate it below from a scale of 1 to 5 using the stars to let me know how well you learned from my answer.

Make sure to also press the like button (Thanks button) if you really liked my answer / explanation

If it was incorrect or you didn't learn from it please review my answer accordingly (report if incorrect)

`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````

I only want to spread knowledgeable and truthful information let me know if it is incorrect or not helpful so I / Brainly can take it down.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<h3>Lastly, If your the owner of this question please mark me Brainliest if you really learned from my answer I really do appreciate it.</h3>

<h2>THANK YOU :) </h2>

8 0

3 years ago

Find the difference 12-20.5

myrzilka [38]

The difference is 8.5

7 0

3 years ago

Read 2 more answers

What is the value of 3 + (-1/4)² ÷ 1/2? A. 6 1/8 B. 21 1/8 C. 7 D. 3 1/8