a container was 1/2 filled with water. When 200 ml of water was poured out, it became 1/3 full. Find the capacity of the container in milliliters.

Answers

Answer 1

Answer: x=whole capacity
(x/2)=original amount
orginal amount-200=x/3
so
(x/2)-200=x/3
subtract x/2 from both sides
-200=(x/3)-(x/2)
make denomenators same
x/3 times 2/2=2x/6
x/2 tiimes 3/3=3x/6
now we have
-200=2x/6-3x/6
-200=-x/6
multiply both sides by 6
-1200=-x
multiply -1
1200=x

capacity is 1200 ml

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We found that Juan’s investment account can be modeled by the function, c(x) = 7x2 - 6x + 5, in thousands of dollars. What was Juan’s initial investment?$5
$10
$5,000
$10,000

Answers

Answer:

Option (a) is correct.

The Juan’s initial investment is $ 5

Step-by-step explanation:

Given : Juan’s investment account can be modeled by the function, $c(x)=7x^2-6x+5$ , in thousands of dollars.

We have to find the Juan’s initial investment.

Since, Juan’s investment is modeled by function

$c(x)=7x^2-6x+5$

Since initial investment is when he start the investment and is given by when

x = 0

Thus, $c(0)=7(0)^2-6(0)+5$

Simplify , we get,

c(0) = 5

Thus, the Juan’s initial investment is $ 5

initial investment was when x=0, when no change had occured

c(0)=7(0)^2-6(0)+5
c(0)=5

this is in thousands
5*1000=5000
answer is $5000 is initial

A 6 ounce bag of raisians cosr$2.46 and a 8 ounce bag cost $3.20 which is better deal

Answers

If you divide 2.46/6=0.41
If you divide 3.20/8=0.40
Which is a better deal?

how many solutions does the graph above show?
a. one
b. none
c. Infinite

Answers

Answer:

None

Step-by-step explanation:

I said this because i usually don't find any solutions for graphs until i find out that there are infinite or one

b. no solution

explain: if they are parallel, there are no solutions

2x^2 + 108 = 42x NEED HELP SOLVING QUADRATIC EQUATION

Answers

Answer:

x = 18

x = 3

Step-by-step explanation:

2x² - 42x + 108 = 0

common factor is two, so take it out to simplify equation

2 (x² - 21x + 54) = 0

0/2 = 0

x² - 21x + 54 = 0

Factors of 54 which add up to 21 is 18 and 3

(x - 18)(x - 3) = 0

Hence,

x = 18

x = 3

Translate the following sentence into an equation. Subtracting 5 from the quotient of a number and 6 gives 37.

Answers

Subtracting 5 from the quotient of a number and 6 gives 37 is to the following:

n / 6 -5 = 37 (Note: / = divided)

$(x / 6) - 5 = 37$

Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the interest rate is 10 percent per year?

Answers

20,000 = P ( 1 + 0.1 )^4
20,000 = P * 1.1^4
20,000 = P * 1.461
P = 20,000 : 1.461 ≈ $13,689.25
Answer: Miranda needs to put now in the bank $13,689.25

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