MATHEMATICS HIGH SCHOOL

A certain solution contains 4.3 grams of salt per liter.How much salt is there in 11 liters of the solution?
Round your answer, if necessary, to the nearest tenth.

Answers

Answer 1
Answer:

Answer:

47.3 grams

Step-by-step explanation:

Given: A solution contains 4.3 grams of salt per liter.

To find: Amount of salt in 11 liters of the solution

Solution:

Amount of salt in 1 liter of the solution = 4.3 grams

So, amount of salt in 11 liters of the solution = 11 × Amount of salt in 1 liter of the solution = 11 × 4.3 = 47.3 grams

Hence, 11 liters of the solution contains 47.3 grams of salt.
Answer 2
Answer:

Answer: 47.3

Step-by-step explanation: Khan Academy

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The probability that a student takes a history class and a sociology class is 0.051. The probability that a student takes a history class is 0.32. What is the probability that a student takes a sociology class, given that the student is taking a history class?0.051
0.159
0.269
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Answers

I believe the answer would be B. 0.159.. Need explanation?

Ur Answer is B. 0.159

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In a game for 24 groups, the average number of children was 16. When one more group of children was formed to join in the game, the average number of children became 18. The number of boys to girls who had just joined in the game was in the ratio 5:6. If there were 220 boys at first, how many more boys than girls were in the end?

Answers

Answer:

50 boys

Step-by-step explanation:

The number of groups = 24

The average number of children = 16

The new average number of children when one group is added = 18

The ratio of boys to girls in the group that just joined = 5:6

The initial number of boys = 220

Let the initial number of children

The initial total number of children = 24 × 16 = 384

The initial number of girls = 384 - 220 = 164

The final number of children = 25 × 18 = 450

The number of children in the group that joined in the game = 450 - 384 = 66

The ratio of boys to girls in the group = 5:6

Therefore, we get;

The number of boys = 66 × 5/11 = 30

The number of girls = 66 - 30 = 36

The number of boys at the end = 220 + 30 = 250

The number of girls at the end = 164 + 36 = 200

The number of more boys than girls at the end = 250 - 200 = 50

The number of more boys than girls at the end = 50 boys

The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other square. What is the length of each side of the larger square?

Answers

a - side of the square
a₁ - arm the small square
a₂ - larger side of the square
2a₁ = a₂  we put into the equation 2
(a₁)² + (a₂)² = 45cm²

2a₁ = a₂
(a₁)² + (2a₁)² = 45cm²
(a₁)² + 4(a₁)² = 45cm²
5(a₁)² = 45cm²
(a₁)² = 9cm²
a₁ = √(9cm²) = 3cm
a₂ = 2a₁ = 2*3cm = 6cm
A₁ = (a₁)² = (3cm)² = 9cm²
A₂ = (a₂)² = (6cm)² = 36cm²
A₁ + A₂ = 9cm² + 36cm² = 45cm²

38 is what percent of 40

Answers

Hi there! ;) The answer you are looking for is 95%. To get the answer, this is what I did: 38 divided by 40 and you get 0.95 or 95% (Because they are the same value.)

Hope it helped!:D I hope this made sense to you.

How would you write y = –3x2 + 12x – 21 in vertex form?

Answers

The vertex form of that expression would be y = 3 ( x +2 )squared - 25. This is done by transporting first the -21 to the other side then simplifying the 3(x2 + 4x). Then making the "x2 + 4x" a perfect binomial we need to add 4 and that makes it "x2 + 4x + 4". Then after that we now have the vertex form of y = 3 ( x +2 )squared - 25 

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation(x – 8)2 = 144, x represents the side measure of the original lawn.

What were the dimensions of the original lawn?

4 feet by 4 feet
8 + feet by 8 +
8 feet by 8 +
20 feet by 20 feet

Answers

The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.

Answer:

D

Step-by-step explanation:

20x20
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