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max2010maxim [7]
4 years ago
10

A scientist mixes water (containing no salt) with a solution that contains 35 % salt. She wants to obtain 245 ounces of a mixtur

e that is 5 % salt. How many ounces of water and how many ounces of the 35 % salt solution should she use?
Mathematics
1 answer:
Misha Larkins [42]4 years ago
8 0

Answer:

Step-by-step explanation:

W = Water

S = 40% salt (if available)

-------------

W + S = 200

w*0 + s*40 =(w+s)*s

40s=5W + 55

5w = 355

w=200 -s

5(200-s) =355

1000 - 5 s =35s

40s =1000

s= 25

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I please need help with this question. Thank you
Diano4ka-milaya [45]

Part (A)

The input variable is the shoe size because it is along the horizontal axis, or x axis. It's not clear what the units for the shoe size are, but it's possible the units are in inches.

The output variable is the y value, which in this case is the height. The units for the height is in inches.

====================================================

Part (B)

We have a positive trend. We determine this visually by noting the regression line, or trend line, is going upward as we move from left to right.

Algebraically, the equation for the trend line has a positive slope, which leads to a positive trend.

A positive trend is where x and y increase together. As shoe size goes up, height goes up as well.

While not all the points are on the line, there is a tendency for the points to go uphill as we move from left to right.

As for the strength of the correlation, that part is subjective. If we knew the correlation coefficient r, then we could be more certain; however, we don't know this value. So instead we have to eyeball the given graph and give an estimate. Based on the graph, I'd say there's a moderate positive correlation going on. It's somewhere in the middle of weak and strong positive correlation because the data points are somewhat scattered randomly, but they trend upward nonetheless.

====================================================

Part (C)

The rate of change is the slope. The slope is the coefficient of the independent variable x. In this problem, the slope is 1.728

So the rate of change is 1.728 inches per shoe size.

In other words, as the shoe size increases by 1 unit (1 inch perhaps?), the height will increase by roughly 1.728 inches.

---------------------------------------------------------

Extra info:

The equation

Height = 51.46 + 1.728(Shoe Size)

is the same as

y = 51.46 + 1.728x

where x is the shoe size and y is the height

We can rearrange that into

y = 1.728x + 51.46

So that it matches with the familiar y = mx+b slope intercept form. This is optional.

3 0
3 years ago
I need help on this please. I've been stuck on it for a half an hour!!
lisov135 [29]

Answer:

20%

Step-by-step explanation:

4 + 6 + 2 + 2 = 14

3 + 4 + 6 + 3 = 16

14 + 16 = 30

6/30 = 0.2

4 0
3 years ago
Calculate the final total amount of money you could put toward saving or another experience
prisoha [69]

Answer:

105.29

Step-by-step explanation:

629.75-225=40475

404.75-149.49=255.29

255.29-50=205.29

205.29-100=105.29

3 0
3 years ago
Which statement is true?
Lady_Fox [76]

Answer:

An irrational number may show terminating digits after the decimal

Step-by-step explanation:

Examples of Rational Numbers

Number 9 can be written as 9/1 where 9 and 1 both are integers.  0.5 can be written as ½, 5/10 or 10/20 and in the form of all termination decimals.  √81 is a rational number, as it can be simplified to 9 and can be expressed as 9/1.  0.7777777 is recurring decimals and is a rational number

Examples of Irrational Numbers

Similarly, as we have already defined that irrational numbers cannot be expressed in fraction or ratio form, let us understand the concepts with few examples.

5/0 is an irrational number, with the denominator as zero.

π is an irrational number which has value 3.142…and is a never-ending and non-repeating number.

√2 is an irrational number, as it cannot be simplified.

0.212112111…is a rational number as it is non-recurring and non-terminating.

There are a lot more examples apart from above-given examples, which differentiate rational numbers and irrational numbers.

Properties of Rational and Irrational Numbers

Here are some rules based on arithmetic operations such as addition and multiplication performed on the rational number and irrational number.

#Rule 1: The sum of two rational numbers is also rational.

Example: 1/2 + 1/3 = (3+2)/6 = 5/6

#Rule 2: The product of two rational number is rational.

Example: 1/2 x 1/3 = 1/6

#Rule 3: The sum of two irrational numbers is not always irrational.

Example: √2+√2 = 2√2 is irrational

2+2√5+(-2√5) = 2  is rational

#Rule 4: The product of two irrational numbers is not always irrational.

Example: √2 x √3 = √6 (Irrational)

√2 x √2 = √4 = 2 (Rational)

5 0
3 years ago
7. Kristen has $500 in her bank account. Last month
Sav [38]
Down here is the solution to the question
It’s a simple calculation where for the first question you will need to add the money going into her account and the money in the account then subtract the withdrawal from the sum you got
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5 0
2 years ago
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