You manage inventory for Swim Chem, a large distributor of chemicals for indoor and outdoor pool companies. Your division sold 2.4 tone of chlorine on Monday, 4.4 on Tuesday, 1.8 on Wednesday, and 2.8 on Thursday. If last week's sales totaled 14.4 tons, how much chlorine sold on Friday?

Answer:

30

Step-by-step explanation:

Note that, when two negative signs are directly next to each other, they mean addition. Note the rule:

A positive sign & A positive sign = Positive number.

A positive sign & A negative sign = Negative number.

A negative sign & A negative sign = Positive number.

In this case:

- (-15) = + 15

Simplify. Combine like terms:

15 + 15 = 30

30 is your answer.

~

Answer:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. In a trapezoid the parallel sides are called bases. ... A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid. This conjecture tells us that the base angles of an isosceles trapezoid are equal in measure

Step-by-step explanation:

Answer:

A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.

The answer choice that matches the box plot you draw would be B.

A box plot can be used to represent the distribution of a data set using the five-number summary. The five-number summary include the following:

To plot a box plot for the given data, we need to determine the value of each of the five-number summary of the data set.

Given:

12, 14, 17, 23, 25, 30, 32, 37, 38, 40, 41

The minimum: Lowest data value in the data set is the minimum = 12

The maximum: Highest data value = 41

Median: The middle data value (the 6th data point) = 30

First Quartile: The middle value of the first part of the data set before the median (the 3rd data point) = 17

Third Quartile: The middle value of the second part of the data set after the median (the 9th data point) = 38

Next is to plot the five-number summary on a box plot.

Min value, 12, is displayed and represented by the whisker you have at your far left.

Max value, 41, is displayed and represented by the whisker you have at your far right.

Median value, 30, is displayed and represented by the vertical line that divides the rectangular box into two you.

Q1 value, 17, is displayed and represented at the beginning of the rectangular box.

Q3 value, 38, is displayed and represented at the end of the rectangular box.

The box plot of the given data when drawn would match the following as shown in the attachment below.

Therefore, the answer choice that matches the box plot drawn is B.

Learn more about box plot here:

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Answer:

$409.86

Step-by-step explanation:

230 is the before markup

We must apply the markup (or even discount) before the tax is applied.

Marked up 65% means we must do .65(230)  <---This will tell us how much more the tent is going to sell for

.65(230)=149.5

So we started with 230 and it is going up by 149.5, so the new price before tax is 230+149.5=379.5

Now the tax is applied to what you are paying (before tax).

So 8% of 379.5 is .08(379.5)=30.36

So new price + tax is the total cost

    379.5        +30.36

=409.86

Answer:

The additive inverse is equal to [tex]-2a-b[/tex]

Step-by-step explanation:

we know that

The additive inverse of a number is equal to its opposite ( the sum of a number and its additive inverse is equal to zero)

so

we have

[tex]2a+b[/tex]

Multiply by -1

[tex]-1(2a+b)=-2a-b[/tex]

therefore

The additive inverse is equal to [tex]-2a-b[/tex]

Answer: the answer is C. (1, 2)

Step-by-step explanation: because the origin is 0 and slope is rise over run. so if you start at 0, go up one, and over two, your point is at (1,2) .

Answer:

Option D.

Step-by-step explanation:

A line will be in the form of y = mx + c

Where m = slope of the line and c = y-intercept

In this question slope of the line is given as [tex]\frac{1}{2}[/tex] and it passes through origin.

Since line passes through origin then there will be no y-intercept that means c=0

So equation will be y = [tex]\frac{1}{2}[/tex]x

Now check each option that satisfy the equation of the line.

Option A. ( 0, [tex]\frac{1}{2}[/tex] )

                 y = 0 ≠ [tex]\frac{1}{2}[/tex] so invalid option

Option B. ( [tex]\frac{1}{2}[/tex], 1 )

               y = [tex](\frac{1}{2})[/tex] [tex](\frac{1}{2})[/tex] = [tex](\frac{1}{4})[/tex] ≠ 1 Invalid option

Option C. ( 1,2)

               y = [tex](\frac{1}{2})[/tex] × 1 = [tex](\frac{1}{2})[/tex] ≠ 2 Invalid option

Option D. ( 2, 1 )

              y = [tex](\frac{1}{2})[/tex] × 2 = 1 correct option

Option D. is the correct answer.

I think you mean the value of 'm' not 'b' as there is no 'b' variable given in the equation.

Assuming you meant 'm' then,

5 - 10m = 3m

   + 10m    + 10m

5 = 13m

/13   /13

0.384615385 = m

Answer:

It is 10. I know you are trying to apply it with the quadratic formula.

Step-by-step explanation:

Answer:

2nd and 3rd options are correct

Step-by-step explanation:

Option 1 is wrong because there are obviously 13 scores

Option 2 is correct (quite obvious, just count the number of scores larger than 75)

Option 3 is correct. The method to find the median is to arrange all the numbers in ascending value (this is already done for you), and then locating the middle number. This happens to be 82.

Option 4 is wrong because the only 2 scores between 90 and 100 are 93 and 99

Option 5 is not necessarily true. The max score could be 99? or 102?, or 150? we just don't know. Hence this does not apply.

Answer:

0.75m/s

Step-by-step explanation:

Speed formula: ⇒ [tex]S=\frac{V}{T}[/tex]

Divide by the numbers from left to right.

S=18

T=24

18/24=0.75

0.75m/s is the correct answer.

I hope this helps you, and have a wonderful day!

[tex]\frac{3}{4}[/tex] millimeter per second

You simply need to divide [tex]\frac{18}{24}[/tex].  This is a fraction, so you can just simplify it.

Divide the numerator and the denominator each by 6, which is the greatest common factor.  [tex]\frac{\frac{18}{6}}{\frac{24}{6}} = \frac{3}{4}[/tex]

This is as simple as the result can get, so [tex]\frac{3}{4}[/tex] millimeter per second is the final answer.

Answer:

The side of the square = x/√2

Step-by-step explanation:

All the sides of a square are equal. All the angles are equal to 90°

To find the side of a square

From the figure attached with this answer shows a square.

Let 'x' be the diagonal of the square.

The diagonal make two right angled triangle with angle 45°, 45° and 90°

Therefore the sides are in the ratio 1 : 1 : √2

Here diagonal = x

 side : side : x= side : side : √2

Therefore one side length = x/√2

Answer:

Area = x²/2 square units

Step-by-step explanation:

The key to solving this question is to understand that:

a) the sides of a square are the same length

b) the length of the diagonal may be calculated via Pythagoras' theorem (c² = a² + b², where c is the length of the hypotenuse of a triangle and a and b the lengths of the other two sides)

1. Now, let's call the sides of the square length y and the diagonal is length x.

Using c² = a² + b², we can substitute our values to get:

x² = y² + y²

x² = 2y²

2. Stepping away from Pythagoras' theorem for a little bit, let us think of the general formula for the area of a square:

A (for Area) = a², where a is the length of the sides of the square (which are all of equal length)

Given that we defined our square as having length y, let us substitute this value in to get:

A = y²

3. Now we have two formulas that we can work with:

1) x² = 2y²

2) A = y²

4. Given that A = y², we can say that 2y² = 2A

Therefor, if x² = 2y², then x² = 2A

Thus, if we want to find the formula for area in terms of x, we need to simply rearrange the given formula to make A the subject, giving us:

A = x²/2 square units

Hope that helps :)

Answer:

B. 37.5 sq. units

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the length of the base and  h is the height

A = 1/2 (5 * 15)

A =37.5 units^2

Answer:375 units

Hope this helps

Answer:

r=3

Step-by-step explanation:

24π=2π(r^2+r)

Divide each side by 2 pi

24π/2π =2π/2π(r^2+r)

12 = r^2 +r

Subtract 12 from each side

12-12 = r^2 +r -12

0 =  r^2 +r -12

Factor

What number multiply to -12 and add to 1

4*-3 = -12

4-3 = 1

0= (r+4) (r-3)

Using the zero product property

r+4 =0          r-3 =0

r+4-4 =0-4   r-3+3=0+3

r = -4           r = -3

Assuming r is the radius, r must be positive

r =3

Answer: Option C

[tex]y=5[/tex], [tex]x=10[/tex]

Step-by-step explanation:

If the lines m and n are parallel then the large triangle and the small triangle are similar triangles, because they have equal angles.

By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a', b',  c'  then:

[tex]\frac{a}{a'}=\frac{b}{b'} =\frac{c}{c'}[/tex]

In this case

[tex]a = 12\\a' = 4\\c = 15\\c' = y[/tex]

So:

[tex]\frac{12}{4}=\frac{15}{y}[/tex]

Now solve the equation for the variable y

[tex]3=\frac{15}{y}[/tex]

[tex]y=\frac{15}{3}[/tex]

[tex]y=5[/tex]

We know that

[tex]x+y=15[/tex] and  [tex]y=5[/tex]

Then

[tex]x+5=15[/tex]

[tex]x=10[/tex]

Finally the answer is:

[tex]y=5[/tex], [tex]x=10[/tex]

Answer:

6a^2

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Factor by the numbers from left to right.

[tex]64^\frac{1}{3}[/tex]

[tex]64=4^3[/tex]

[tex](\frac{4}{3})^\frac{1}{3}=4^3^*^\frac{1}{3}=4[/tex]

It changes to positive to negative.

-4

-4 is the correct answer.

Answer:

65

Step-by-step explanation:

To solve this equation, we should simplify it as much as possible, which means multiply everything together.

[tex]65*92*17=101660[/tex]

[tex]92*17*x=1564x[/tex]

Now we can solve for [tex]x[/tex] by dividing each side by the coefficient.

[tex]101660=1564x[/tex]

[tex]x=65[/tex]

The equation to show how many dogs Ida walked Saturday is A.10x = 70

A system of linear equations exists usually a set of two linear equations with two variables.

A linear equation only includes one or two variables. No variable in a linear equation exists raised to a power greater than 1 or utilized as the denominator of a fraction. When you discover pairs of values that create a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

Given,

Ida gets paid $10 for every dog walked and made a total of $70 on Saturday.

It will be A. She earned 10 dollars per hour 10x= 70.

Hence, the correct answer is option A. 10x = 70

To learn more about the System of linear equations refer to:

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Answer:

y-6 = -3(x+1)

Step-by-step explanation:

The point-slope form of a line is the following:

y-yo = m(x-xo), where 'm' is the slope and (xo, yo) is any point where the line passes through.

In this case, m=-3 and (xo, yo) = (-1, 6).

Therefore: y-yo = m(x-xo) = y-6 = -3(x+1)

In conclusion, the point-slope form of the equation that represents the line that passes through the point (-1, 6) and has a slope of -3 is:

y-6 = -3(x+1)

For this case we have that the equation of a line in the point-slope form is given by:

[tex](y-y_ {0}) = m (x-x_ {0})[/tex]

Where:

m: It's the slope

[tex](x_ {0}, y_ {0})[/tex]: It is a point through which the line passes

According to the data we have to:

[tex]m = -3\\(x_ {0}, y_ {0}) = (- 1,6)[/tex]

So the equation is:

[tex](y-6) = - 3 (x - (- 1))\\(y-6) = - 3 (x + 1)[/tex]

Answer:

[tex](y-6) = - 3 (x + 1)[/tex]

Answer:

Look at the picture

Step-by-step explanation:

I don't know what the option choices were, but I graphed the equation on a website called desmos.com so the answer is the one that looks like this graph:

-3 is classified as the following:

Rational number

Whole number

Integer

A positive number and a negative number with the same digits are opposite.

13 + -13 = 13 -13 = 0

13 to 0 is 13 units, -13 to 0 is also 13 units.

The answers are:

They are opposites.

Their sum is 0.

They are the same distance from zero on the number line.

Answer:

They are opposites.

Their sum is 0.

They are the same distance from zero on the number line.

Step-by-step explanation:

They are opposites.   True  

- -13 = 13

Their sum is 0.   True

-13+13=0

They are the same distance from zero on the number line.   True

|-13| = |13|

They are equivalent.  False

-13 does not = 13

Answer:

Step-by-step explanation:

b gtbrtegb hvn by

Answer:

47.6 cm

Step-by-step explanation:

Since the triangle is equilateral then the 2 inclined sides = 7.2 cm

Perimeter is then the sum of the 5 sides

P = 13 + 7.2 + 13 + 7.2 + 7.2 = 47.6 cm

Answer:

47.6 cm

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

We can just try and find what works! since we can subtract 12 from -2 and get -14, we might try subtracting 12 every time. After we test it out, we see that is is correct!

Answer:

10-12n

Step-by-step explanation:

Answer:

h = 147 - 16t^2.

Step-by-step explanation:

Use the following equation of motion

h = ut + 1/2 gt^2    where  h = height, u = initial velocity , g = acceleration due to gravity and t = the time.

So here we have:

h = 14t + 1/2 * -32 * t^2

h = 14t - 16t^2

Answer:

Height of jump, s(t) = 14t - 16.09t²

Step-by-step explanation:

We have equation of motion s = ut + 0.5 at².

For the this vertical motion we have

              s = height of jump

              u = initial velocity = 14 ft/s

               t = time

               a = acceleration due to gravity = -32.17 ft/s²

Substituting

                 s = 14 x t + 0.5 x (-32.17) x t²

                 s = 14t - 16.09t²

Height of jump, s(t) = 14t - 16.09t²

Answer:

x = 0, 6, -1

Step-by-step explanation:

We need to set f(x) = 0 to find the values of x for this expression.

So

[tex]x^3-5x^2-6x=0[/tex]

We will factor out an x and do middle term factorization to arrive at our answer for x (there will be 3 x values):

[tex]x^3-5x^2-6x=0\\x(x^2-5x-6)=0\\x(x-6)(x+1)=0\\x=0,6,-1[/tex]

These are the 3 values for x.

[tex]3(2x+5) = 3x+4x\\6x+15=7x\\x=15[/tex]

Answer:

x = 15

Step-by-step explanation:

Given

3(2x + 5) = 3x + 4x ← collect like terms

3(2x + 5) = 7x ← distribute parenthesis on left side by 3

6x + 15 = 7x ( subtract 6x from both sides )

15 = x ⇒ x = 15