A salesperson's weekly paycheck is 25% more than a second salesperson's paycheck. The two paychecks total $1075. Find the amount of each paycheck. (Round your answers to the nearest cent.)

Answer:

y+9=1/5(x+4)

Step-by-step explanation:

plug into the formula

We are required to find the unit rate, that is, miles per hour

Read more:

https://brainly.com/question/8406966

Answer:

Step-by-step explanation:

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

7x + 15 + 15 = 17x

30 = 10x

x = 3

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

check

7×3+15+15=17×3

21 + 30 = 51

51=51

the answer is good

Answer:

17x=30+7x

Step-by-step explanation:

Answer:  Jenny was faster by 116.17

Step-by-step explanation: Jenny: 809.03 meters a minute

Johnny: 692.86 meters a minute

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

For more questions on Cyclists .

https://brainly.com/question/3807925

#SPJ8

Answer:

9 eggs, 3/4 cup water, 3/4 cups of water

EXPLANATION:so 1/4×3, 3 is 3/1 as a fraction

you just multiply 1/4 and 3/1 first 1×3=3 then 4×1=4 so 3/4

Answer:

-15.6666667

Step-by-step explanation:

first of all divide both side then minus the divide number

In the triangle, The lengths of FD, AD, AG, BG, and BF are: FD = 6, AD = 0, AG = 6, BG = 6, BF = 12

A closed, two-dimensional geometric shape known as a triangle is made up of three lines that link three non-collinear points. The line segments are known as sides, and the spots where the line segments intersect are known as vertices. The sides and angles of a triangle can be used to categorize it. By side, a triangle can be categorized as being scalene, isosceles, or equilateral (all sides are equal) (no sides are equal). A triangle can be categorized as acute (all angles are under 90 degrees), right (one angle is precisely 90 degrees), or obtuse (one angle is exactly 90 degrees) (one angle is greater than 90 degrees). In various mathematical and practical contexts, including trigonometry, geometry, and engineering, triangles are used.

First, let's draw a diagram of the triangle ABC and label the given points:

          A

          / \

         /   \

        /     \

     F-------B

    /  \       /

   /    \    /

  /      \ /

D-------C

Since AB = AC and angle A is 120 degrees, triangle ABC is an isosceles triangle with AB = AC = 12 and angle BAC = 120 degrees. To find the lengths of FD, AD, AG, BG, and BF, we can use the following steps:

Step 1: Find the length of BC.

Since triangle ABC is isosceles, we can find the length of BC using the law of cosines:

\(cos(120) = (BC^2 + 12^2 - 2(BC)(12)) / (2(BC)(12))\\-0.5 = (BC^2 + 144 - 24BC) / (24BC)\\BC^2 - 24BC - 288 = 0\\(BC - 12)(BC + 24) = 0\\BC = 12 or BC = -24\\\)

Since BC cannot be negative, we have BC = 12.

Step 2: Find the lengths of FD and BF.

Since F and D are the midpoints of sides AC and BC, respectively, we have FD = (AC)/2 = 6 and BD = (BC)/2 = 6. Therefore, BF = BD + DF = 6 + 6 = 12.

Step 3: Find the length of AD.

Since D is the midpoint of BC, we have AD parallel to FC and AD = 2(DC). Since triangle ABC is isosceles, we have DC = (BC - AC)/2 = (12 - 12)/2 = 0. Therefore, AD = 2(0) = 0.

Step 4: Find the length of AG.

Since G is the intersection of AD and BF, we can use similar triangles to find AG. Specifically, triangle ABG is similar to triangle CFD, so we have:

AG/BG = FD/CD

AG/12 = 6/(BC/2)

AG/12 = 6/(12/2)

AG/12 = 1/2

AG = 6

Step 5: Find the length of BG.

Since G is the intersection of AD and BF, we can use similar triangles to find BG. Specifically, triangle ABG is similar to triangle CFD, so we have:

BG/AG = BD/FD

BG/6 = 6/6

BG = 6

Therefore, the lengths of FD, AD, AG, BG, and BF are:

FD = 6

AD = 0

AG = 6

BG = 6

BF = 12

To know more about intersection visit:

brainly.com/question/14217061

#SPJ1

True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.

Summarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.

This process enables the reader to grasp the core message of the text quickly and efficiently.

By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.

More on summary can be found here: https://brainly.com/question/24839707

#SPJ1

Answer:

Step-by-step explanation:

It looks, by the markings, that ABC is equilateral.

That means that all three sides should be equal.

4x - 30 = 3x - 5             Subtract 3x from both sides

4x-3x - 30 = - 5             Combine

x - 30 = -5                      Add 30 to both sides

x = - 5 + 30

x = 25

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

To confirm, you need to involve BC

3x - 5 = 2x + 20            Subtract 2x from both sides

3x - 2x - 5 = 20             Add 5 to both sides

x = 20 + 5

x = 25

Conclusion: x = 25

Answer: 168

Step-by-step explanation: A scale factor is simply the ration between two corresponding units, therefore you can just divide the units by each other. There are 12 inches in a foot, 84 in 7 feet. 85/.5=168

The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the Inequality y≤ 1/2 x -4.

Now, we plot the inequality on the Graph as shown by the red region.

As, the inequality intersect the axis at (0, -4) and (8, 0).

Thus, the solution is (0, -4) and (8, 0).

Learn more about Inequality here:

https://brainly.com/question/27895856

#SPJ9

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

For such more questions on conditions

https://brainly.com/question/18395678

#SPJ8

Step-by-step explanation:

Degree of polynomial is the highest degree of the polynomials.

hence, 2 is the highest so

degree of the polynomial is 2.

and it's a Binomial option B.

hope this answer helps you dear...take care and stay safe!

Answer:

x=17/9

Step-by-step explanation:

-7x-(-5-x)=-9(2x-1)

= -7x+5x+x= -18x+9

= -x= -18x+9

  +18x +18x

=17x=9

     x= 17/9

Hope this helps!

Answer:

-7x -(-5-x)=9(2x-1)

-7x+5x+x=18x+9

-x=-18x+18x

17x=9

x=17/9

Step-by-step explanation:

hopes this help

Answer:

No motion in either direction

C.

Step-by-step explanation:

Based on the provided data, the population standard deviation is 6.0 and the population variance is 36.0.

To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, follow these steps:

1. Press the "STAT" button, and then select "Edit" to enter the data.

2. Enter the ages of the students into a list. For example, you could enter the ages into list L1.

3. Once you have entered the data, press the "STAT" button again, and then select "CALC."

4. Choose "1-Var Stats" and enter the list name that contains the data (L1 in this case). Press "ENTER" to see the result.

5. The calculator will display a list of statistics, including the population standard deviation (σx) and the population variance (σx²). Round these values to one decimal place.

To know more about Standard deviation:

https://brainly.com/question/23907081

#SPJ4

We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

Learn more about Pythagorean theorem

brainly.com/question/14930619

#SPJ13

The conclusion of the hypothesis testing is that; there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.

Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.

Let us first define the hypothesis in this problem;

Null Hypothesis; H₀: μ_d = 0

Alternative Hypothesis; Hₐ: μ_d ≠ 0 (Claim)

The degree of freedom is;

DF = n - 1

DF = 6 - 1

DF = 5

At a significance level of α = 0.10, with a DF of 5, the critical values are ±2.015.

Using a computer software, we can calculate the mean from the attached table as;

D' = ∑d/n

D' = 100/6 = 16.7

Similarly, the standard deviation is calculated from the formula;

S_d = √(n∑d² - (∑d)²)/(n(n - 1))

s_d = √(6.489 - 100²)/(6(6 - 1))

s_d = 25.4

The test statistic is gotten from the formula;

t = (D' - μ_d)/(s_d/√n)

t = (16.7 - 0)/(25.4/√6)

t = 1.610

This is less than the critical value and we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.

Read more about Hypothesis Testing at; https://brainly.com/question/15980493

#SPJ1

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

For similar question on diameter.

https://brainly.com/question/28162977

#SPJ8

The magnitude of the acceleration is a constant value of 18

Each part of the location vector's second derivative must be calculated.

Given:

x = 402 + 8t

y = 2 cos(3t)

z = 2 sin(3t)

The position vector r(t) = (x, y, z)

First, let's find the velocity vector v(t) by taking the first derivative of each component:

v(t) = (dx/dt, dy/dt, dz/dt)

v(t) = (8, -6 sin(3t), 6 cos(3t))

Next, let's find the acceleration vector a(t) by taking the first derivative of each component of the velocity vector:

a(t) = (d²x/dt², d²y/dt², d²z/dt²)

a(t) = (0, -18 cos(3t), -18 sin(3t))

Finally, we can find the magnitude of the acceleration vector:

|a(t)| = √[(d²x/dt²)² + (d²y/dt²)² + (d²z/dt²)²]

|a(t)| = √[0² + (-18 cos(3t))² + (-18 sin(3t))²]

|a(t)| = √(324 cos²(3t) + 324 sin²(3t))

|a(t)| = √324 (cos²(3t) + sin²(3t))

|a(t)| = 18

Therefore, the magnitude of the acceleration is a constant value of 18.

Learn more about magnitude of acceleration here : brainly.com/question/30337362

#SPJ1

From the given parameters the magnitude of the acceleration is  18

Recall that the magnitude of acceleration is a physical term defined as the ratio of velocity variation to time, represented by the equation a = v/t. It is a vector quantity that includes both magnitude and direction

x = 402 + 8t

y = 2 cos(3t)

z = 2 sin(3t)

The position vector r(t) = (x, y, z)

But, the velocity vector v(t) by taking the first derivative of each component:

v(t) = (dx/dt, dy/dt, dz/dt)

v(t) = (8, -6 sin(3t), 6 cos(3t))

And  the acceleration vector a(t) by taking the first derivative of each component of the velocity vector:

a(t) = (d²x/dt², d²y/dt², d²z/dt²)

a(t) = (0, -18 cos(3t), -18 sin(3t))

Now, the magnitude of the acceleration vector:

|a(t)| = √[(d²x/dt²)² + (d²y/dt²)² + (d²z/dt²)²]

|a(t)| = √[0² + (-18 cos(3t))² + (-18 sin(3t))²]

|a(t)| = √(324 cos²(3t) + 324 sin²(3t))

|a(t)| = √324 (cos²(3t) + sin²(3t))

|a(t)| = 18

In conclusion,  magnitude of the acceleration is 18.

Learn more about the magnitude acceleration on https://brainly.com/question/20115074

#SPJ1

3. 3 hope this will help you

Answer: D

Step-by-step explanation: 210 mile per 3.5 hour = 60.0 mile per hour.

Answer:

The answer is 40 degrees.

Step-by-step explanation:

We know that a right angle (the square on the bottom triangle) is 90 degrees. We also know that triangles always add up to 180 degrees.

90 + 50 = 140

180 - 140 = 40

So, your answer would be 40 degrees.

Hope that I helped! This was my first answer, I'm glad I could be there!

The number of revolutions made by the wheel is 5.24 ≅ 5.  

One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.    

Here we have

A wheel rotated by 1888°  

As we know One complete revolution is equal to 360 degrees

Hence, the angle can be rotated by the wheel in 1 rotate = 360°  

Let the wheel make 'x' revolution to make 1888°  

=> 360(x) = 1888

=> x = 1888/360

=> x = 5.24

Therefore,

The number of revolutions made by the wheel is 5.24 ≅ 5.    

Learn more about Revolutions at

https://brainly.com/question/6292216

#SPJ1

The given statement is a reasonable probability model because it fulfills the 4 conditions of binomial distribution.

The conditions for binomial distribution are;

1: The number of observations n must be fixed.

2: Each observation must be independent.

3: Each observation must represent one of two outcomes ("success" or "failure").

4: The probability of "success" p must be the same for each outcome.

Now, we are given the statement;

Joey buys a Virginia lottery ticket every week. x is the number of times in a year that he wins a prize.

From that statement, we can tell that the number of observations is fixed at 52 weeks since a year is made up of 52 weeks.

Secondly, we can say that there could be success by winning a price or failure by not winning the price.

Each weekly observation is independent.

The probability is the same for each outcome.

Thus, we conclude that since it fulfills all the four conditions then it is a binomial model.

Read more about Binomial distribution at; https://brainly.com/question/15246027

#SPJ1

Answer:

Set your calculator to Degree mode.

55^2 = 90^2 + 50^2 - 2(90)(50)cos(C)

3,025 = 10,600 - 9,000cos(C)

-7,575 = -9,000cos(C)

cos(C) = 101/120

C = cos^-1 (101/120) = 32.7°

Answer:

t(-6,2)

Step-by-step explanation:

t(-6,2)

t+2>-4

t+2<4

t>-6

t+2<4

t>-6

t<2