In a chemistry lab, acid and water are mixed in the ratio 1 : 5. A bottle contains 228 ml of the mixture. How much water were needed to make this amount of mixture?

Answer:

slope is m. Parallel means it has the same slope as the line it's parallel to. Let's say the slope of line 1 is 3, and your y intercept is 12. The equation would then be y = 3x + b and b would be 12 bc x would be 0 at y intercept making the equation become y = (0)x+b and for y to be 12, b has to be 12 in this case. So y = 3x + 12

Given:

The series is

[tex]2x+2x^2+2x^3+...+2x^n[/tex]

To find:

Whether the given series is arithmetic, geometric, both, or neither.

Solution:

We have,

[tex]2x+2x^2+2x^3+...+2x^n[/tex]

Difference between consecutive terms are:

[tex]d_1=a_2-a_1[/tex]

[tex]d_1=2x^2-2x[/tex]

[tex]d_1=2x(x-1)[/tex]

And,

[tex]d_2=a_3-a_2[/tex]

[tex]d_2=2x^3-2x^2[/tex]

[tex]d_2=2x^2(x-1)[/tex]

Here, [tex]d_1\neq d_2[/tex].

So, the given series is not an arithmetic series.

Ratio between consecutive terms are:

[tex]r_1=\dfrac{a_2}{a_1}[/tex]

[tex]r_1=\dfrac{2x^2}{2x}[/tex]

[tex]r_1=x[/tex]

And,

[tex]r_2=\dfrac{a_3}{a_2}[/tex]

[tex]r_2=\dfrac{2x^3}{2x^2}[/tex]

[tex]r_2=x[/tex]

Similarly upto last pair of consecutive terms.

[tex]r_{n-1}=\dfrac{a_n}{a_{n-1}}[/tex]

[tex]r_{n-1}=\dfrac{2x^n}{2x^{n-1}}[/tex]

[tex]r_{n-1}=x[/tex]

Since, [tex]r_1=r_2=...=r_{n-1}[/tex], so the given series have a common ratio.

Therefore, it is a geometric series.

Answer:

-18/3

Step-by-step explanation:

Multiply the denominator and numerator by the same whole number.

Answer:

26.92 min

if I'm not wrong!

Answer:

The first one is B because 5 times 7 is 35 and you put it as a fraction and the second one is B  because the answer is 35/16 and if you simplify it the answer would be 2 3/16

Step-by-step explanation:

Answer:

My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.

Step-by-step explanation:

Answer:

1170

Step-by-step explanation:

hey there,

(the other person just calculated each number themselves then added them up which i guess is okay but not in the long term for when you're taking a test for example or your teacher asks you this kind of question so it's better to memorize a formula.)

< There are two types of sequences: arithmetic and geometric. So also two formulas for finding sums of each. This situation is an arithmetic sequence.

Formula for the sum of an arithmetic sequence: [tex]S_n=\frac{n}{2} (a_1+a_n)[/tex]

We know there are 30 total rows so n = 30. a1 is the very first term of a sequence so this is 10 in this situation. Before we fill in the formula, we should find what an is equal to.

For this, we will use the basic formula you learned previously: [tex]a_n=dn+c[/tex]

d (the common difference) = a2-a1 = 12-10=2

c (the common ratio) = a1-d = 10-2 = 8

an = dn + c = 2(30) + 8 = 68

Now that we have found what a_n is equal to, we can plug everything into the sum equation.

[tex]S_n = \frac{30}{2} (10+68)=1170[/tex]

So 1170 is your final answer. >

Hope this helped! Feel free to ask anything else.

Answer:

island C

Step-by-step explanation:

island C is 14 units away from island A, whereas island B is 20 units away

hope this helps!! :)

Answer:

$892.50 ( Eight Hundred Ninety Two dollars and fifty cents)

Step-by-step explanation:

Just subtract 15% from 1050 (you also can check calculator if you want second opinion!)

(have a nice day)

Answer: 8x + 6

Step-by-step explanation: Multiply the like terms. 4x times 2x is 8x, and 2 times 3 is 6. That equals 8x+6

Answer: They are the same or equal to each other.

Step-by-step explanation:

Hope this helps.

Answer:The answer is - 1.

Step-by-step explanation:

Answer:

j=816 inch

Step-by-step explanation:

J^+K^+L^=180° (sum of int. angles of triangle)

L^+11+63=180

L^=106°

j/sinJ=l/sinL

j/sin63=880/sin106

j*sin106/sin106=880*sin63/sin106

j=815.6

j=816 inch

Answer:

4 DLLS

Step-by-step explanation:

Answer: 40 burgers

Step-by-step explanation: Since we know the ratio is 2:3, and an equal ratio for the first number is 16, we can multiply both sides by 8, (2 x 8 = 16, 3 x 8 = 24) and add them together to get 40.

Answer:

683.24

Step-by-step explanation:

Im pretty sure PLEASE give BRAINLIEST I NEED IT

All you have to do is 899 times .24 and then get that answer and subtract

Answer:

its $683.24

as we first took out 24%of $899 i.e215.76 then we subtracted it from $899

Answer:

5%

Step-by-step explanation:

I = PRT/100  where I = interest, P = initial deposit, R = the rate in %, T = number of years.

So substituting the given values:

6000 = 10000*R* 12/100

10000*12*R =  100*6000

R =  100*6000 / (10000 * 12)

R = 600000/120000

= 5%

Answer:

Yes.

Step-by-step explanation:

A function is a set of relations without repetitive domains.

From the given relation, there are no repetitive domains. Thus our relation here is a function.

Example of Function

{(1,1), (2,2), (3,3), (4,4), (5,5)}

Example of Non-Function

{(1,1), (1,2), (2,3), (3,4), (4,5)}

From this relation, there are two repetitive domains which are 1's. Thus not making the relation a function.

Answer:

(a). Music and dance.

(b). Three students.

(c). Hong, Ryan, Lena and Mai

Step-by-step explanation:

a) Hong is not a member of i. music and Dance

b) 2 students which is Eric and Omar

c). Mai , Hong,Ryan and lena

Answer:

the new price of the t-shirt is $24.84

Step-by-step explanation:

The computation of the new price of the t-shirt is shown below

= Price of the t-shirt × (1 + increased percentage)

= $23 × (1 + 0.08)

= $23 × 1.08

= $24.84

Hence, the new price of the t-shirt is $24.84

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

96 people

Step-by-step explanation:

24÷100 × 400=96

Answer:

1.A

2.D

3.C

4.C

Step-by-step explanation:

Answer:

(2x+5)(x-1)

Step-by-step explanation:

2x²+3x-5= 2x²+5x-2x-5=x(2x+5)-1(2x+5) = (2x+5)(x-1)

Answer:

198 hamburgers

Step-by-step explanation:

Because the additive inverse of multiplication is division and since the cheeseburger are three times the number of hamburgers you should divide by three to get how many hamburgers were sold. Hope this helps

Answer:

The answer is 11 PM

Step-by-step explanation:

1,440,000 minutes is the same as 24,000 hours. Then, you add that to 10pm of that day and you get 11 pm. It is the same as multiplying 24 x 1000 hrs. it is like adding 1000 days to that since it is 24 hrs in one day. Hope this helped!!

Answer:

11:00 pm

Step-by-step explanation:

1,440,000 minutes, convert it into hours and you get 24,000 hours. Since 24 hours equal a day 24,000 is 1,000 days. Attach 10:00 pm since its exactly 1,000 days after and you get 11:00 pm.

Answer:

Step-by-step explanation:

since the question does not have a given slope you can just put the point into the point slope formula   y-y1 = m(x-x1)  

y-5 = m(x-(-2))

y-5 = m(x+2)

since the slope is not given, leave it like that

Answer:

Greater than 4.256

Step-by-step explanation:

Because 24 is a whole number and so is the 4 in 4.256. So Because 24 is larger than 4 it is automatically greater than 4

Answer:

11+p-3 or 3+p-11

Step-by-step explanation:

depending if the p is negative or positive

Answer:

17/190

Step-by-step explanation:

Its correct

Answer:

D

Step-by-step explanation:

1 x 17 = 17

10 x 18=180

so it's 17/180