How do I write an equation in standard form for a line that passes through (2,2) and (0,-3)

How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?

kolbaska11 [484]

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution is added

so, we get solution as

$=\frac{60}{100}\times x$

$=0.6x$

we are given

40 liters of a 20% alcohol solution is

$=40\times\frac{20}{100}$

$=8$

so, total alcohol solution is

$=8+0.6x$

now, we can find total solutions

total solutions is

$=x+40$

now, it is making 50% solution

so, we get

$\frac{8+0.6x}{x+40} =\frac{50}{100}$

now, we can solve for x

$\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50$

$800+60x=50x+2000$

$10x=1200$

$x=120$

So,

120 liters of 60% alcohol solution is needed

4 0

3 years ago

What is the volume of a hemisphere with a radius of 3.4 cm, rounded to the nearest tenth of a cubic centimeter

vredina [299]

Answer: 82.28 cm^3

Step-by-step explanation:

$Formula: V=\frac{2}{3}\pi r^3$

$V=\frac{2}{3}(3.14)(3.4)^3\\ V=82.28cm^3$

6 0

3 years ago

Tremaine: wants a one bedroom townhouse in a trendy new development downtown; average cost is $145,000 is preapproved for a 4.38

Lina20 [59]

Using the monthly payment formula, it is found that the amount he will have to pay each month is of $649.45.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

In this problem, considering that the down payment does not count for interest, the parameters are given as follows:

P = 130000, r = 0.0438, n = 30 x 12 = 360.

Then:

r/12 = 0.0438/12 = 0.00365 -> 1+r = 1.00365.

Then the monthly payment is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$A = 130000\frac{0.00365(1.00365)^{365}}{(1.00365)^{365} - 1}$

A = 649.45.

More can be learned about the monthly payment formula at brainly.com/question/2151013

#SPJ1

3 0

2 years ago

((I RAISED THE POINTS AND THIS IS MULTIPLE CHOICE))

NeTakaya

Answer:

B and D

Step-by-step explanation:

Geometric sequences and series. A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

an = ar^(n-1)

d) 1/3, 2/3, 4/3, 8/3, 16/3, . . . .

1/3 * 2 = 2/3

2/3 * 2 = 4/3

4/3 * 2 = 8/3

where r = 2, constant multiplier is 2. //Answer

b) 320, 80, 20, 5, 1.25, . . . . .

320 * 1/4 = 80

80 * 1/4 = 20

20 * 1/4 = 5

r = 1/4 //Answer

Answer: B and D

//Hope this helps.

4 0

3 years ago

A square sandbox in Trisha's backyard has an area of 81 square feet. Find x, the diagonal length of the sandbox.

Nikolay [14]

9 × 9 would be the answer or just 9. Since 9 × 9 = 81. So, I believe you could put 9 if there is only one x spot but if there is 2 you can put 9 × 9. Hope this helps! c:

4 0

3 years ago