Liters of 10% acid solution and liters of 70% acid solution

Answer:

Step-by-step explanation:

[tex]\displaystyle\\p=10^m;q=10^n;p^n*q^m=100\\\\p^n*q^m=(10^m)^n*(10^n)^m=10^{mn}*10^{nm}=10^{2mn}=100^{mn}=100\\\\\Rightarrow\ mn=1[/tex]

Answer:

not sure but I know the answer

Step-by-step explanation:

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Answer: Ren first make a mistake in his work at step 1

Step-by-step explanation:

Step 1 :     2x/3   <   36 Step 2  :     x   <   54Step 3  :  

 A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shadedMistake is in 1st step it self which is cascaded in further stepsCorrect would be 2x/3   > 36  as more than 36 employees stated their preference  hence 2x/3 must be greater than 36

Answer: Its a correct me if i'm wrong

Step-by-step explanation:

A portion of a square and a portion of a circle were used to create this figure. The perimeter of the figure is 36.28 units.

Given that,

A portion of a square and a portion of a circle were used to create this figure.

We have to find the perimeter of the figure.

Three linear sides are measured in units of 4, 8, 8, 4.

Radius of the circular part = 4 units

Measure of a polygon's circumference equals the polygon's perimeter.

From the figure we can see,

Figure perimeter equals the sum of the lengths of the three straight lines and the circumference of the quarter circle.

Measure of linear sides = 4 + 8 + 8 + 4 = 24 units

Circumference of the quarter circle = 1/4(2πr)

=1/2×π×4

=2×π

=2×3.14

=6.28 units.

Perimeter of the figure is 30+6.28

=36.28 units.

Therefore, the perimeter of the figure is 36.28 units.

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Answer:

1/4

Step-by-step explanation:

2m/8m = 1/4

Answer:

1/4

Step-by-step explanation:

2m ÷8m

Divide

2m

----

8m

Cancel like terms

2

---

8

Divide the top and bottom by 2

2/2

------

8/2

1

-----

4

Answer:

Step-by-step explanation:

Hi:

First determine those without brown hair:

40-22=18 don't have brown hair.

18/40 don't have brown hair:

Divide by 2

9/20

Multiply by 5 to get percent

45/100= 45 percent don't have brown hair

Considering the cost of 3 bell peppers are $2.05, 4 tomatoes are $1.09, 2 onions are $0.65 and 5 potatoes are $0.33, and Giorgio used all these vegetables for his dinner, then his meal costed a total amount of $4.45.

As per the question statement, no information about the vegetables Gorgio used for his dinner or their prices are provided in the question statement, and thus we are considering that, Gorgio used 3 bell peppers that costed $2.05, 4 tomatoes at $1.09, 2 onions at $0.65 and 5 potatoes at $0.33 in his dinner recipe.

We are required to calculate how much does Gorgio's dinner meal cost.

To solve this question, we simply have to add up the prices of the ingredients and we will obtain our desired answer.

That is, Gorgio's  meal costed a total amount of $(2.05 + 1.09 + 0.65 + 0.33)

                                                                             = $4.45

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we have that

Applying the Pythagorean Theorem

c^2=a^2+b^2

substitute given values

c^2=7^2+24^2

c^2=49+576

c^2=625

Tom should choose the bank that gives the highest interest rate on savings accounts

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR.

A savings account or certificate of deposit earnings at a bank or credit union may also be subject to an interest rate (CD). The interest received on these deposit accounts is measured in annual percentage yields. In this case, the one that gives the best rate is the best option to choose.

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Answer:

Tom should choose the bank that offers the highest interest rate on savings accounts. Since the principal and time would be the same for each bank, the higher the interest rate, the more money Tom would earn.

Step-by-step explanation:

this was the sample answer on edge. I hate edge

The number of empty seats based on the arithmetic sequence in 6 minutes is 28.

It should be noted that an expression simply means the function that's given to show the relationship between the variables.

From the information, the movie theatre currently has 49 empty seats. 3 people enter every minute to fill those seats. The scenario is modeled by the arithmetic sequence:

= 46 − 3m.

In this case m = number or minutes.

The empty seats in 6 minutes will be:

= 46 - 3m

= 46 - 3(6)

= 46 - 18

= 28

There are 28 empty seats.

The complete question is written below.

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A movie theatre currently has 49 empty seats. 3 people enter every minute to fill those seats. The scenario is modeled by the arithmetic sequence

= 46 − 3m. Find the numberof empty seats in 6 minutes.

1. Point slope form
2. y = -2x + 25

The formula for point slope form is:

y − y1 = m(x − x1), which is exactly what y-7=-2(x-9) is, as y1 is 7, m is -2 and x is 9.

To get this into slope intercept form, we have to solve for y/ isolate it.

y - 7 = -2 (x-9)

First, distribute the -2.

y - 7 = -2x + 18

Then add 7 on both sides to get rid of the -7.

+ 7 + 7

y = -2x+25

Answer:

d. 11.4, 3.4

Explanation:

Given

Required

Determine the zeros

The best way to solve this is to apply the graphical method.

First, we plot the graph of:

See attachment

Next, we write out all values of x when the line crosses the y-axis.

From the attached graph, the points are (approximately):

Option (d) is the closest to the above values.

Hence, the zeros are: -1.4 and 3.4

active attachment

Answer:

13.11

Step-by-step explanation:

[tex]\frac{x}{5\frac{7}{10} }[/tex] = 2 [tex]\frac{3}{10}[/tex] ( multiply both sides by 5 [tex]\frac{7}{10}[/tex] to clear the fraction

x = 5 [tex]\frac{7}{10}[/tex] × 2 [tex]\frac{3}{10}[/tex] = 5.7 × 2.3 = 13.11

Answer:

2

Step-by-step explanation:

substitute x = 3 into h(x)

h(3) = - 3 + 5 = 2

Answer:

Step-by-step explanation:

I haven't done percentages in a while but the answer after I did it would 15 dollars from where I rounded it. You multiply 15 by 270% which is 2.7 and that's the closest to 40. So Kelly would have 15 dollars.

(Fact check me math people)

Using percentage, we calculated that the total number of employees in the company equals 45954.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.

Given,

34.6% of the employees in the company equals 15,900

Let the total number of employees in the company = x

According to the given question,

34.6 / 100 × x = 15,900

⇒ x = 15900 × 1000 / 346

⇒ x = 45954

∴ Total employees in the company equals 45954.

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Answer:

First and Third

Step-by-step explanation:

The graphs obey the function equations but the intervals are marked incorrect in #s 2 and 4

One thing to keep in mind is that when you have a piecewise function valid on certain intervals, the circle shape denoting the beginning of the interval is very important

If it is a filled circle it denotes a ≤ (or ≥) inequality

If it is an unfilled (hollow) circle it denotes a < (or >) inequality

Looking at the second graph we see that

f(x) = -1 for -∞ < x < -1
Assuming the interval is correctly defined, that solid circle at x = -1, y = -1 should be a hollow circle not a filled circle

Similarly for f(x) = 3x² + 3, the interval is given as -1 ≤ x < ∞ but the starting circle for this interval is an unfilled circle, it should be a filled circle

A similar situation applies to the fourth choice and you should be able to figure that out yourself

[tex]9x+4y=4\implies 4y=-9x+4\implies y=\cfrac{-9x+4}{4} \\\\\\ y=\cfrac{-9x}{4}+\cfrac{4}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{9}{4}}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

An inequality  | 2n -(- 1) | ≥ 10

                          | 2n + 1 | ≥ 10

after solving the inequality we get the value of n, n ≥  4.5  and n  ≤ - 5.5                                          

According to the question, given that

An inequality which has twice a number n is no less than 10 units from −1.

then inequality : | 2n -(- 1) | ≥ 10

                             | 2n + 1 | ≥ 10

So, 2n + 1 ≥ 10                   or              2n + 1  ≤ - 10

    2n  ≥  10 - 1                                      2n  ≤ - 10 - 1

    2n ≥  9                                              2n  ≤ - 11

    n ≥  4.5                                               n  ≤ - 5.5

Therefore, we get the value n, n ≥  4.5 and n =  ≤ - 5.5  after solving inequality.

Algebraic expressions are contrasted in a mathematical statement known as an inequality using the greater-than (>), less-than (), and other inequality symbols. A pair of inequalities connected by and or or form a compound inequality. In this lesson, linear and compound inequalities in one variable will be resolved using the properties of inequalities. After this, the study of absolute-value equations and inequalities continues.

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The value of the expression using algorithm is 493.29 .

An algorithm is a finite sequence of exact instructions used to solve a class of particular problems or carry out a calculation in mathematics and computer science.

The given expression is 27.405 x 18

This can be computed using algorithm of multiplication to get the result 493.29 .

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Answer:

5) ¾, The slope is ¾ since the cost increases by 3 dollars for every 4 games Robert and his family play.

6) 12, The y-intercept is 12 since Robert had to pay an entrance fee of 12 dollars in order to enter the arcade.

7) y=¾x+12

The equation of a line into slope-intercept form is represented as:

y = mx + c

where m = slope of the line

c = y-intercept of the line

On simplifying 8x - 20y = 40, the equation will be:

⇒ 2 (4x - 10y) = 2 (20)

⇒ 4x - 10y = 20

⇒ 2x - 5y = 10

⇒ 2x - 10 = 5y

⇒ 5y = 2x + (-10)

⇒ y = 2x/5 + (-10/5)

⇒ y = 2x/5 + (-2)

The slope of this line = 2/5

y-intercept of the line = -2

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Answer:

-5x + 7y

Step-by-step explanation:

2x - 7x = -5x

8y - y = 7y

The value of f(0) is '-1'.

Let's see the step-by-step solution:

Step 1:

For f = -x -1

substitute the x with 0

So, f(0) = -0-1

Step 2:

Simplifying it: -0-1: -1

Thus, the value of f(0)= -1

The point (-8,-30) is ordered pair which is the correct solution to y=3x-6.

The position of a point on the coordinate plane with respect to the origin is represented by an ordered pair in coordinate geometry. Two parallel intersecting lines, with one line being the x-axis and the other being the vertical, form a coordinate plane (y-axis).

The origin is the place where the two axes meet. An ordered pair (x, y), where x is known as the x-coordinate and y is known as the y-coordinate, is used to represent each point on the coordinate plane.

To find the solution of the  y = 3x - 6 we will simply use the trial and error method to find if the given the ordered pair are correct or incorrect.

(-4,18)

y = 3x - 6

18 = 3(-4) - 6

18 = -12 - 6

18 = -18

Incorrect solution

(5,24)

y = 3x - 6

24 = 3(5) - 6

24= 15 - 6

24= 9

Incorrect solution

(7,-45)

y = 3x - 6

-45 = 3(7) - 6

-45 = 21 - 6

-45 = 15

Incorrect solution

(-8,-30)

y = 3x - 6

-30 = 3(-8) - 6

-30 = -24 - 6

-30 = -30

Correct solution

Thus, The point (-8,-30) is ordered pair which is the correct solution to y=3x-6.

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1. Slope of the line is: c. -3/2.

2. (4, 0) lies on the line.

3. The angle relationship is congruent angles.

4. x = 19

5. m<A = 39

6. The angle relationship is corresponding angles.

7. a. congruent angles.

8. x = 12

9. m<A = 72°

10. m<B = 43°

The slope of a line = change in y/change in x

Angle relationships is used to determine the measures of angles depending on how the two angles relate, whether they are congruent or supplementary angles. For example, corresponding angles are congruent, linear pair angles are supplementary.

1. Slope of the line that passes through (-7, 3) and (-5, 0):

Slope (m) = (3 - 0)/(-7 -(-5)) = 3/-2

Slope (m) is: c. -3/2.

2. The graph of the equation y = 1/2x - 2 is shown in the attachment, which shows that the point that lies on the line is:

(4, 0)

3. The angle relationship is congruent angles.

4. 39 = 2x + 1

39 - 1 = 2x

38 = 2x

38/2 = x

x = 19

5. m<A = 2x + 1 = 2(19) + 1

m<A = 39

6. The angle relationship is corresponding angles.

7. They are: a. congruent angles.

8. 38 = 3x + 2

38 - 2 = 3x

36 = 3x

36/3 = x

x = 12

9. m<A = 180 - 108 [supplementary angles]

m<A = 72°

10. m<B = 180 - 65 - 72

m<B = 43°

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Represent the situation by using a function. If Sue swims 1.5 laps per minute, the equation that represents this situation is

Where y is the number of laps and x is the time in minutes

With this equation you can make a table

Finally, make the graph

The correct statement regarding whether each graph represents a function is given as follows:

a. Represents a function, as each input is mapped to only one output.

b. Does not represent a function, as there are inputs mapped to two outputs.

A graph will represent a function if the graph contains no vertically aligned points, that is, each value of x is mapped to only one value of y.

Vertically aligned points mean that a value of the input x is mapped to multiple values of the output y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.

In the context of this problem, we have that:

On the continuous graph, a vertical line is drawn and shown at the end of the answer, representing visually when does a graph does not represent a function, as the vertical line crosses the function at multiple points.

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Answer:

1

Step-by-step explanation:

Comment

This is a very interesting question.

The first statement says

1/3 girls =  1/6 of the total      Multiply both sides by 3

3(1/3) girls = 3(1/6) total

girls = 1/2 of the total

The boys must be 1/2 as well because all the students who are not girls must be boys.

Ratio (boys / girls) = 1/2 // 1/2 = 1

The ratio is 1

Answer:

  37.26 units

Step-by-step explanation:

You want to know the perimeter of the pentagon defined by the points (-5.5, 0), (-5.5, 7), (0, 9.7), (5.5, 7), and (5.5, 0).

The attached graph shows the points and the distances between them. The perimeter is the sum of those distances.

  7 +6.13 +6.13 +7 + 11 = 37.26

The perimeter of the polygon is about 37.26 units.

__

Additional comment

The length of the slant edges can be found using the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²) = √((0 -5.5)² +(9.7 -7)²) = √(30.25 +7.29)

  = √37.54 ≈ 6.12699

The lengths of the horizontal and vertical edges can be found by differencing the x- and y-coordinates of the points, respectively. (The distance formula can be used, as well.)