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2 years ago

13

The ratio of lemon to water in 80 fluid ounces of lemonade id 3:1 the lemonade was diluted futher if the ratio was 3:2 how much

was added to dilute the lemonade

1 answer:

andriy [413]2 years ago

4 0

Answer:

I think 53.334 ounces were added to dilute the lemonade

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A runner finished a total of 1,500 kilometers in races before retiring . She finished thirty-two 15-kilometer races . The rest o

Sindrei [870]

Answer:

32*15 = 480

1500-480 = 1020

1020/10

102 races

Step-by-step explanation:

5 0

3 years ago

in a AP the first term is 8,nth term is 33 and sum to first n terms is 123.Find n and common difference

allsm [11]

I believe there is no such AP...

Recursively, this sequence is supposed to be given by

$\begin{cases}a_1=8\\a_k=a_{k-1}+d&\text{for }k>1\end{cases}$

so that

$a_k=a_{k-1}+d=a_{k-2}+2d=\cdots=a_1+(k-1)d$

$a_n=a_1+(n-1)d$

$33=8+(n-1)d$

$21=(n-1)d$

$n$ has to be an integer, which means there are 4 possible cases.

Case 1: $n-1=1$ and $d=21$ . But

$\displaystyle\sum_{k=1}^2(8+21(k-1))=37\neq123$

Case 2: $n-1=21$ and $d=1$ . But

$\displaystyle\sum_{k=1}^{22}(8+1(k-1))=407\neq123$

Case 3: $n-1=3$ and $d=7$ . But

$\displaystyle\sum_{k=1}^4(8+7(k-1))=74\neq123$

Case 4: $n-1=7$ and $d=3$ . But

$\displaystyle\sum_{k=1}^8(8+3(k-1))=148\neq123$

8 0

3 years ago

Write an equation of the line with the given slope and y-intercept,(4,3) and (0,1)

PSYCHO15rus [73]

Answer:

y=1/2x+1

Step-by-step explanation:

First use slope formula.

$\frac{y2-y1}{x2-x1}$

Plug in the information needed.

$\frac{1-3}{0-4}=\frac{-2}{-4}=\frac{1}{2}$

The slope is $\frac{1}{2}$ .

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information needed.

y-3=1/2(x-4)

y-3=1/2x-2

y=1/2x+1

The equation of the line in slope-intercept form is y=1/2x+1.

Hope this helps!

If not, I am sorry.

5 0

2 years ago

What is 4,226 - 2,958

Vinvika [58]

Answer:

1,268

Step-by-step explanation:

8 0

3 years ago

The sum of three numbers is 18. If every number is a prime number, what are the three numbers?

sleet_krkn [62]

The three numbers are 2, 5, and 11.

The sum of 3 numbers is 18. 2 + 5 + 11 = 18

Since the problem states that every number is a prime number, then the number must be a natural number greater than 1 that has no positive divisors other than 1 and itself.

2 / 1 = 2 OR 2 / 2 = 1 These numbers are prime numbers because their divisors
5 / 1 = 5 OR 5 / 5 = 1 are 1 and itself.
11/1 = 11 OR 11/11 = 1

4 0

3 years ago

Read 2 more answers