please look at image and answer question.

Answer:

-5x + 7y

Step-by-step explanation:

2x - 7x = -5x

8y - y = 7y

Cost of tjhe donut: D

Cost of the large coffee: C

On Monday Harold picked up six donuts and two large coffees for the office staff, he paid $5.80:

On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02:

Use the next system of linear equations to find the value of D and C:

1. Solve D in the first equation:

2. Substitute the D in the second equation by the equation you get in step 1:

3. Solve C:

4. Use the value of C=0.86 to find D;

The solution fot the system is:

Given:

Circular playground with radius=7 feet

To find:

Fence for the playground

Solution:

To find the fence required for the circular playground, we will have to find the circumference of the ground.

Circumference =2πR ( where R is the radius of the circle)

= 2*3.14*7

= 44 feet

Therefore, the fence required is 44 feet.

To know more about circumference problems, click on https://brainly.com/question/20489969

C is the midpoint of BD, Therefore, BC = CD

Now, AD = AB + BC + CD = (6x +5) + (3x + 1) + (3x + 1) = 12x + 7 .... eqn 1

Also, AD = AE - DE = (12x + 31) - (7x + 3) = 5x + 28 ....... eqn 2

From Eqn 1 and Eqn 2,

12x + 7 = 5x + 28

⇒ 12x - 5x = 28 - 7

⇒ 7x = 21

⇒ x = 21/7

⇒ x = 3

So, AD = 12x + 7 = 12(3) + 7 = 36+7

⇒ AD = 43 units

To learn more about the Line segment, refer to:

https://brainly.com/question/25727583

#SPJ13

Using relations in a right triangle, it is found that:

1. Angelica's mistake is stating that we can find the length of AB, as we can only find the simplified length with the ratio, not the actual length.

2. Graziella mistake is stating that since we don't know the sides we cannot find the ratios.

3. The measures are as follows: sin(A) = 3/5, cos(A) = 4/5.

There are three relations in a right triangle, given as follows:

In this problem, we have that the tangent of angle A is of 3/4, hence the lengths are given as follows:

Applying the Pythagorean Theorem, the hypotenuse AB is given as follows:

x² = 3² + 4²

x² = 9 + 16

x² = 25

x = 5.

Then the sine and the cosine of A are given as follows:

This is a procedure in which we can find the smallest possible length of the hypotenuse, not the actual length, which is Angelica's mistake.

Even without knowing the actual length, we could find the ratios for the sine and for the cosine, which is Graziela's mistake.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

#SPJ1

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

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.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

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.

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.

Learn more about ordered pair

https://brainly.com/question/11139505

#SPJ9

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

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.

To learn more about percentage from given link

https://brainly.com/question/24877689

#SPJ9

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.

More can be learned about graphs and functions at https://brainly.com/question/29224176

#SPJ1

Answer: 15[tex]x^{4}[/tex]+21[tex]x^{3}[/tex]-4[tex]x^{2}[/tex]-13[tex]x[/tex]-5

Step-by-step explanation:

(5x² + 2x - 5) (3x² + 3x + 1)​  times the two brackets together.

15[tex]x^{4}[/tex] + 15[tex]x^{3}[/tex]+ 5[tex]x^{2}[/tex]+6[tex]x^{3[/tex]+6[tex]x^{2}[/tex]+2[tex]x[/tex]-15[tex]x^{2}[/tex]-15[tex]x[/tex]-5    simplified  =

15[tex]x^{4}[/tex]+21[tex]x^{3}[/tex]-4[tex]x^{2}[/tex]-13[tex]x[/tex]-5

Answer:

Step-by-step explanation:

I tried to put my hand through the computer but it didn't work! Lol

Anyways,

m<WZY= 70 degrees

35+35= 70

Answer:

70

Step-by-step explanation:

Angle WZX = 35

As ZX is a bisector, it cuts it down the middle and splits it in half. This means that angle WZX is half of the original angle, WZY.

35 * 2 = 70.

Answer:

Answer B

Step-by-step explanation:

B is:

[tex]3 (\sqrt{25} - 10) + 5 \\ 3(5 - 10) + 5 \\ 3 ( - 5) + 5 \\ - 15 + 5 = - 10[/tex]

The change in height of the parasail = 1/100.

Height of defined as the measurement that is taken for an object which starts from its base to the topmost point. This is usually measured in meters.

From the question,

The height of the parasail above the water level= 3/100

The height of the parasail above the water level after 5 minutes= 1/50

The change in height of the parasail is determined by finding the difference between the two heights.

That is, = 3/100 - 1/50

= 0.03- 0.02 = 0.01

When changed to fraction is = 1/100

Therefore, the change in height after 5 minutes is = 1/100

Learn more about height here:

https://brainly.com/question/28122539

#SPJ1

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 maximum height that the basketball reaches in its path is 8.48ft

A parabola is an approximately U-shaped, mirror-symmetrical planar curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

Then the path of the ball may be modeled by the parabola

                      y = (-16x^2/0.434v^2)+1.15x+8

Let x = 15

y = 10

Then, Substituting the value of x and y

                    10 = (-16(15)^2/0.434v^2)+1.15(15)+8

                    10 = (-16(225)/0.434v^2)+17.25+8

                    10 = (-3600/0.434v^2) + 25.25

Subtracting 25.25 both side we get

                    -15.25 = (-3600/0.434v^2)

Multiplying v^2 both side we get

                   -15.25v^2 = -3600/0.434

                    -15.25v^2 = -8294.93

Dividing -15.25 both side we get

                              v^2 = -8294.93/-15.25

                              v^2 = 543.93

                                 v = [tex]\sqrt{543.93}[/tex]

                                v = 23.32ft/sec

To find the maximum height we use

  max = -b/2a

Lets find out a and be by

y = (-16x^2/0.434(23.32)^2)+1.15x+8

y = 0.06779 + 1.15x + 8

where, a = 0.06779 and b = 1.15

Substituting the value

max = -1.15/2(0.06779)

max = 8.48 ft

Hence, The  maximum height that the basketball reaches in its path is 8.48ft

To learn more about Parabola click on the link

https://brainly.com/question/4061870

#SPJ13

Answer:

4 minutes

Step-by-step explanation:

A standard showerhead uses 2.5 gallons a minute, or 25 gallons for 10 minutes, therefore 10/2.5 = 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

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.

Learn more about interest on:

https://brainly.com/question/25793394

#SPJ1

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

Keandra travelled a total distance of 204.2 miles on her trip

Distance between Cincinnati and Dayton = 54 miles

Distance between Dayton and Toledo = 150.2 miles

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over"). For instance: - My office and house are 3 kilometres apart.

Total distance travelled by Keandra from Cincinnati to Toledo = Distance between Cincinnati and Dayton + Distance between Dayton and Toledo

= 54 + 150.2

= 204.2 miles

Learn more about distance:

https://brainly.com/question/15172156

#SPJ1

The cost of admission per student is given as 10 dollars to the museum

We have the following details that we would have to solve this problem with.

The number of people in this Mrs Shaughnessy’s class is 30 students

The number of persons in Mr Ruth's class is 20 students

The admission that is made to the planetarium is given as 12

we would have this equation

30 * 1/2x + 3 x 30

= 15x + 90

For the next equation we would have

20 x x + 2 x 20

= 20x + 40

We have to make the two equations to be equal

15x + 90 = 20x + 40

take the like terms

15x - 20x = 40 - 90

-5x = -50

divide through by -5 to get the value of x

x = -50 / -5

x = 10

Therefore the cost of admission per student would be 10 dollars

Read more on cost here:

https://brainly.com/question/2021001

#SPJ1

Answer:

d

Step-by-step explanation:

using the tangent ratio in the right triangle

tan61° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{3.8}[/tex] ( multiply both sides by 3.8 )

3.8 × tan61° = x , then

x ≈ 6.9 cm ( to the nearest tenth )

The value of f(g(x)) is f(g(x)) = 9x² + 33x + 36.

What are composite functions and how are they defined?
A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.
Mathematically, Let g: A→B and h: B→C denote two functions, then the composition of g and h denoted by hog: A→C given by hog(x) = h(g(x)) for all x ∈ A.

Given, f(x) = x² + x + 6 and g(x) = 3x + 5
Thus, following the above literature,
f(g(x)) = fog(x) = (3x + 5)² + (3x + 5) + 6 = 9x² + 33x + 36
Therefore, the required value of f(g(x)) is f(g(x)) = 9x² + 33x + 36.

To learn more about this, tap on the link below:
https://brainly.com/question/10687170

#SPJ9

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.)

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

Answer:

A right Triangle

Step-by-step explanation:

A right triangle has 3 angles and one of those angles measures 90 degrees.

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 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 .

To learn more about algorithm visit:

https://brainly.com/question/21172316

#SPJ1