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A company has a total of 209 employees in the marketing and sales offices. For every 5 people employed in sales, there are 14 employed in marketing.

How many people in the office work in marketing?

How many people in the office work in sales?

Answer:

This is not the answer but if u have Spanchat you can go to the AI and ask him to fill in the table using this function rule, list x, and then put the equation and he'll give you the table

Step-by-step explanation:

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★Refer the attachment mate!! Follow for more★

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

$18

Step-by-step explanation:

Ratios are numerical proportions among different values.

Eg. 1 : 4 is 1 to 4.

Given Total Shares = 1 + 4 = 5 = $90

Jacob gets 1 share.

1 Share = $90 ÷ 5 = $18

Therefore Jacob gets $18.

The circumference (c) is the dependent variable.

The radius (r) is the independent variable.

An independent variable is a variable that does not depend on any other variable for its value

A dependent variable is a variable depend on any other variable for its value.

In the rule c = 6.3r, the circumference (c) of a circle depends on the  radius for its value while the radius (r) does not depend on the circumference for its value.

Thus, the circumference (c) is the dependent variable while the radius (r) is the independent variable

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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We conclude that the interval in which the function decreases is (1.5, 3]

The ball is decreasing when the graph, reading from left to right, is going downwards.

Particularly, in this parabola that opens downwards, the graph will decrease after the vertex.

And we can see that the vertex is at x = 1.5

And we also see that the graph of the function ends at x = 3.

Then we conclude that the interval in which the function decreases is (1.5, 3]

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Step-by-step explanation:

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Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

Step-by-step explanation:

the answer is in the image above

Answer:

The volume of the sphere is \(V\approx101.212 \:in^3\).

Step-by-step explanation:

A sphere is a 3-D figure in which all of the points in a plane are the same distance from a given point, the center of the sphere.                      

A sphere with radius r has a volume of

                                                          \(V=\frac{4}{3} \pi r^3\)

and a surface area of

                                                         \(S=4\pi r^2\)

To find the volume of the sphere we use the fact that the surface area of the sphere is 105 \(in^2\) and we use it to find the radius.

\(105=4\pi r^2\\\\4\left(\pi \right)r^2=105\\\\r^2=\frac{105}{4\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{105}{4\pi }},\:r=-\sqrt{\frac{105}{4\pi }}\)

The radius cannot be negative. Therefore,

\(r=\sqrt{\frac{105}{4\pi }}=\frac{\sqrt{105}\sqrt{\pi }}{2\pi }\approx 2.891 \:in\)

Now, that we know the radius we can find the volume

\(V=\frac{4}{3} \pi (2.891)^3=\frac{96.65053\dots \pi }{3}=\frac{303.63661\dots }{3}\approx101.212 \:in^3\)

Answer:

56

Step-by-step explanation:

Answer:

y=2x-3

Step-by-step explanation:

Slope intercept form : y=mx+b

where m is the slope, and b is the y-intercept

For slope intercept form, the only values that we need to find is m and b, so we just need to plug in 2 for the slope and the ordered pair for x and y to find b.

\(y=mx+b\\y=2x+b\\-1=2(1)+b\\-1=2+b\\-2 -2\\-3=b\\\\answer: y=2x-3\)

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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Divide price by size of each and compare the u it price:

2.99/32 = 0.0934 per ounce

1.59/18 = 0.0883 per ounce

The 18 ounce do $1.59 has a lower cost per ounce so is the better buy

Answer:

80,4856

Step-by-step explanation:

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Answer:

24 ft^2

Step-by-step explanation:

Surface area is the total area on the surface of the figure.

One side of the cube is 4 ft^2 (2ft*2ft)

there are 6 sides.

4ft^2 * 6 sides is 24 ft^2

The probability that the next chew Nevach removes from the bag will be pineapply or peach is given as follows:

0.81.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The outcomes for this problem are given as follows:

Hence the probability is of:

p = 44/54

p = 0.81.

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Answer:

D

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

10/18 = 8/(x + 8)                      Cross multiply

10(x + 8) = 8 * 18                     Simplify both sides

10x + 80 = 144                        Subtract 80 from both sides

10x + 80 - 80 = 144 - 80

10x = 64                                   Divide by 10

10x/10 = 64/10

Answer: x = 6.4

Answer:

FALSE

Step-by-step explanation:

<E in ∆AED ≅ <E in ∆CEB.

Both are 90°.

Side ED ≅ Side EB

Side AD ≅ Side CB.

Thus, two sides (ED and AD) and a non-included angle (<E) of ∆AED are congruent to corresponding two sides (EB and CB) and a non-included angle (<E) of ∆CEB. Therefore, by A-S-S Congruence Theorem, both triangles are congruent to each other not by SSS.

Answer:

C. x = 15 and x = -7

Step-by-step explanation:

move 6 to the other side

|x - 4| = 11

now apply absolute rule which is

|u| = a, a > 0 then u = a or u = -a

so...

x - 4 = 11 or x - 4 = -11

x = -7 or x = 15

[Answer] C. x = 15 and x = -7

PLEASE RATE!! I hope this helps!!

If you have any question comment below

Answer:

43.96ft

Step-by-step explanation:

In the hint, you are given the equation \(C = 2\pi r\).

Here, \(C\) is the circumference, \(r\) is the radius, and \(\pi\) is a constant (a value that doesn't change). In this question, you are told to assume the value of \(\pi\) is 3.14.

You are told the radius is 7, therefore, \(r\) = 7.

Now we have these values, let's substitute them into the equation:

\(C = 2 * 3.14 *7\)

For clarification, the stars mean multiplication.

So, the product of those values will give us our circumference, \(C\).

In this case, you get an answer of 43.96ft.

Based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.

To determine the distance between Houston, TX and Dallas, TX using the given scale, we can set up a proportion using the distances on the map and the actual distances.

Let's denote the distance between Houston and Dallas as "x" (in miles).

According to the scale provided, 2.3 centimeters on the map represents a distance of 348 miles. This can be expressed as:

2.3 cm / 348 miles = 1.6 cm / x miles

To find the value of "x," we can cross-multiply and solve the equation:

(2.3 cm) * (x miles) = (1.6 cm) * (348 miles)

2.3x = 556.8

Divide both sides by 2.3 to isolate "x":

x = 556.8 / 2.3

x ≈ 242.0869565

Therefore, based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.

Please note that this is an approximation based on the given scale and the assumption that the scale is linear and consistent throughout the map. Actual distances may vary and should be verified using more accurate measurements or reliable sources.

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Answer:

The values of b are \(\mathbf{b=\pm18}\)

Step-by-step explanation:

We need to find the value of b will cause \(27x^2+ bx +3 = 0\) to have one real solution.

If it has one real solution, the discriminant is zero.

The formula of discriminant is: \(b^2-4ac\)

In our case: \(b^2-4ac=0\)

We have a=27, b=b and c=3

Putting values to find b

\(b^2-4ac=0\\b^2-4(27)(3)=0\\b^2-324=0\\b^2=324\\Taking \ square root \ on \ both \ sides\\\sqrt{b^2}=\sqrt{324}\\b=\pm18\)

So, the values of b are \(\mathbf{b=\pm18}\)

The side lengths for the triangle are given as follows:

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Then the length AC is given as follows:

\(AC = \sqrt{(5 - (-7))^2 + (0 - 3)^2}\)

AC = 12.4.

The length AB is given as follows:

\(AB = \sqrt{(-3 - (-7))^2 + (6 - 3)^2}\)

AB = 5.

The length BC is given as follows:

\(BC = \sqrt{(5 - (-3))^2 + (6 - 0)^2}\)

BC = 10.

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M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).  Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.

Abigail and Curtis Siebert have a $270,000 mortgage at an interest rate of 7% for a term of 20 years.

To calculate the monthly mortgage payment, we can use the formula for an amortizing mortgage:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),

where M is the monthly mortgage payment, P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of monthly payments.

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is 7% divided by 12, which is approximately 0.5833%.

The total number of monthly payments is the term of the mortgage multiplied by 12. In this case, it's 20 years * 12 months, which equals 240 months.

Now, we can substitute the values into the formula:

M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).

Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.

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Answer:

0

Step-by-step explanation:

-9+3+3+3=0

Answer:what is this

Step-by-step explanation: