MATHEMATICS HIGH SCHOOL

Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.Which equation can be used to determine c, the unknown concentration?

Answers

Answer 1
Answer: Taking the 3 solutions as 3 different terms, we can create an equation as follows:

Solution 1 : 10mL with 20% acid
Solution 2 : 30mL with x% acid
Solution 3 : 40mL with 32% acid

Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:

10(0.2) + 30(x) = 40(0.32)
2 + 30x = 12.8

To solve for the unknown concentration x, we subtract 2 from both sides:
2 + 30x - 2 = 12.8 - 2
30x = 10.8

Dividing both sides by 30:
30x/30 = 10.8/30
x = 0.36

Therefore the unknown solution is 36% acid.
Answer 2
Answer:

Answer:

Therefore the unknown solution is 36% acid.

Step-by-step explanation:

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You can find the __________ parts of two congruent triangles by aligning them perfectly on top of each other.A. complementary
B. similar
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D. supplementary

Answers

Answer:

You can find the CORRESPONDING parts of two congruent triangles by aligning them perfectly on top of each other.

Step-by-step explanation:

We know that when two congruent triangles are placed over each other then the congruent sides corresponding to both the triangles also align on each other.

Since, when two triangles are congruent then all corresponding angles and sides  of the two triangles are also congruent.

             Hence, the answer is:

                   Option: C

             C.  corresponding

You can find the C. corresponding parts of two congruent triangles by aligning them perfectly on top of each other.

How is this true for triangles ?

Corresponding parts of two congruenttriangles are the parts that have the same relative position. For example, the corresponding parts of triangle ABC and triangle DEF are AB and  DE , ∠A and ∠D, and ∠B and ∠E.

If two triangles are congruent, then their corresponding parts are congruent. This means that if we align two congruent triangles perfectly on top of each other, then the corresponding parts will coincide.

In conclusion, option C is correct.

Find out more on corresponding parts at brainly.com/question/29592419

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Find the 95% confidence interval for a sample of size 358 with 13% successes. A) (0.0973, 0.1627) B) (0.1156, 0.1444) C) (0.1257, 0.1343) D) (0.1378, 0.1222)

Answers

Answer:

A.

Step-by-step explanation:

0.0973, 0.1627.

100 POINTS!!!!!!!! HELP IMMEDIETELY!!

Answers

Answer:

Step-by-step explanation:

The straight, black, dashed line does not resemble the actual (green) line at all, and so it is pointless to compare slopes and y-intercepts here.

However, the pattern of black dots, which represent the measurements obtained through the experiment, do exhibit characteristics comparable to the solid green line.  The green line has been drawn so that it is roughly in the middle of the dot pattern, which in turn indicates that the slope of this pattern is close to that of the green line.  Because this pattern and the green line have similar positive slopes, we can say that the pattern and the line are positively linearly coordinated.  The correlation coefficient is in the range 0.8 - 1.0, which is considered to be a "moderate positive correlation."

Answer:

Step-by-step explanation:

The straight, black, dashed line does not resemble the actual (green) line at all, and so it is pointless to compare slopes and y-intercepts here.

However, the pattern of black dots, which represent the measurements obtained through the experiment, do exhibit characteristics comparable to the solid green line.  The green line has been drawn so that it is roughly in the middle of the dot pattern, which in turn indicates that the slope of this pattern is close to that of the green line.  Because this pattern and the green line have similar positive slopes, we can say that the pattern and the line are positively linearly coordinated.  The correlation coefficient is in the range 0.8 - 1.0, which is considered to be a "moderate positive correlation."

Turner's scores for nine video games are 140, 180, 200, 170, 180, 150, 160, 130, and 121. The mean, median, and mode of his scores are given below.mean = 159
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mode = 180
Which value gives Turner's game average?

Answers

Answer:

The mean gives Turner’s game average.

Step-by-step explanation:

The median describes the number in the middle from lowest to greatest. The mode describes the number that appears the most. The mean describes the average of the data set.

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Answers

Answer:

81%-82%

Step-by-step explanation:

Find the sum 1/5+3/8

Answers

The answer to your question is 23/40.
1/5 + 3/8

= 1/5 * 1 + 3/8 * 1

= 1/5 * 8/8 + 3/8 * 5/5

= 8/40 + 15/40

= 23/40
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