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A student has a 2% salt water solution and a 7% salt water solution. To best imitate salt water at a local beach, he needs 1 lit

FromTheMoon [43]

Let

x-------> the amount of $2\%$ solution

y--------> the amount of $7\%$ solution

we know that

$2\%=0.02\\7\%=0.07\\3.5\%=0.035$

so

$x+y=1$

$y=1-x$ -------> equation A

$0.02x+0.07y=0.035$ -------> equation B

substitute equation A in equation B

$0.02x+0.07(1-x)=0.035$

$0.02x+0.07-0.07x=0.035$

$0.05x=0.035$

$x=0.7\ liters$

find the value of y

$y=1-x$

$y=1-0.7=0.3\ liters$

therefore

The student need $0.7\ liters$ of $2\%$ solution and $0.3\ liters$ of $7\%$ solution

the answer is

A) The percent values were written incorrectly in the equation

B) The amount of 7% solution should be written as 1 – x, not x – 1.

8 0

2 years ago

Read 2 more answers

If b < 0 and a/b > c/b, then what is the relationship between a and c?

serg [7]

Answer:

a < c

Step-by-step explanation:

Given inequality:

a/b > c/b

Since b is negative, when multiplied by b, the inequality changes to opposite direction:

b(a/b) < b(c/b)
a < c

3 0

2 years ago

Eq 1 X+Y=16 Eq 2 6x+9y=120 Solve by substitution Solve step by step

Alexxx [7]

Answer:

X = 8, Y = 8

Step-by-step explanation:

Step 1) Solve for Y w/ bottom equation to yield - y = -2/3x + 40/3.

Step 2) substitute equation into x + y = 16 to get 1/3x + 40/3 = 16 multiply by 3 to clear the fractions and get x + 40 = 48 - subtract 40 by both sides to get x = 8.

Step 3) Plug x = 8 into the bottom equation to get 48 + 9y = 120, subtract 48 by both sides to get 9y = 72 and then divide by 9. The product is y = 8.

7 0

1 year ago

A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be

maw [93]

Answer:

Only vowels and odd numbers:

$P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}$

Spells math:

$P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}$

Step-by-step explanation:

We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)

Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.

So the final probability would be:

$P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}$

To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:

$P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}$

6 0

2 years ago

Please help! (Answer and explanation, NO LINKS!)

blsea [12.9K]

Answer: primeter is 20

Area :

Step-by-step explanation:

Height : 4

Base : 6

Prim - 6+6+4+4=20

Area - 6x4=24

8 0

2 years ago