I need help with number 7 the first question on the top of the page please

I Need Help With Number 7 The First Question On The Top Of The Page Please

Answers

Answer 1

SK= 13x-5

KY= 2x+9

SY=36-x

By looking at the line segment we can state:

SY = SK+KY

Replacing with the values, and solving for x:

36-x=13x-5+2x+9

Sum and subtract alike terms

36+5-9=13x+2x+x

32= 16x

Divide both sides by 16:

32/16=16x/16

2=x

Replace the value of x in each expression:

SK= 13x-5=13(2)-5=26-5=21

KY= 2x+9=2(2)+9=4+9=13

SY=36-x =36-(2)=34

So, the answers are:

x=2

SK=21

KY=13

SY=34


Related Questions

Find the surface areaDo not round pleaseFormula: SA= 2 * 3.14 * r * h + 2 * 3.14 * r^2

Answers

Given:

The radius of cylinder is r = 2 yd.

The height of cylinder is h = 7.

Explanation:

The formula for the surface area of cylinder is,

[tex]S=2\pi rh+2\pi r^2[/tex]

Substitute the values in the formula to determine the surface area.

[tex]\begin{gathered} S=2\cdot3.14\cdot2\cdot7+2\cdot3.14\cdot(2)^2_{} \\ =87.92+25.12 \\ =113.04 \end{gathered}[/tex]

Answer: 113.04

Name Samantha cebolos Date 3/8/202 Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solse each inequality and graph its solution. 2) Ip+4158 1 onls 18 -12 -10 - - - belzaalila -8LPtube -2 -1 0 1 2 8 -BHL PLO

Answers

Let's begin by identifying key information given to us:

[tex]\begin{gathered} |5x|\le10 \\ \Rightarrow5x\le10 \\ =\frac{5}{5}x\le\frac{10}{5} \\ =x\le2 \\ \\ OR \\ |5x|\le10 \\ \Rightarrow-5x\le10 \\ =\frac{-5}{-5}x\le\frac{10}{-5} \\ =x\le-2 \\ \\ \therefore x\le\pm2 \end{gathered}[/tex]

x is lesser than or equal to plus or minus 2

We will proceed to plot the graph

13. Michael found that the difference
between two numbers is 259.
What could the two numbers be?
How did you find the numbers?

Answers

The numbers whose difference are calculated could be 300 and 41

How to determine the two numbers?

From the question, we have the following statement that can be used in our computation:

The difference between two numbers is 259

Represent the two numbers with x and y

So, we have the following representation

x - y = 259

Make x the subject of the formula

This gives

x = 259 + y

Assume y is 41

So, we have

x = 259 + 41

Evaluate the sum

x = 300

Hence, the numbers are 300 and 41

Read more about difference at

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solve the polynomials in standard form1) y=4x^4+7x^3-2x^3+5x^52) y=(x-3)^2-3(x-4)

Answers

The standard form of a polynomial contains no like terms and the exponents are in descending order (largest to smallest).

[tex]\begin{gathered} y=4x^4+7x^3-2x^3+5x^5 \\ \text{Std Form:} \\ y=5x^5+4x^4+7x^3-2x^3 \end{gathered}[/tex]

Elisa is driving at a speed of 65 miles per hour. Let h represent the number of hours that Elisa drives at this speed. Write an algebraic expression to represent the number of miles that Elisa travels during this time.(I NEED HELP NOW , I AM IN RISK OF A WHOOPING)

Answers

We have

Elisa travels 65 miles per hour

h is the number of hours

the al

A pet store has 8 cats, 12 dogs, and 3 rabbits. The ratio 8:23 compares Irby Pets 1 dogs to cats 2 cats to dogs 3 rabbits to cats 4 cats to all animals

Answers

The ratio for each animal between the stores is the divition of pet store with Irby Pets so:

For cats is going to be:

[tex]\frac{8}{2}=4[/tex]

So the ratio is 4:1

for dogs is going to be:

[tex]\frac{12}{3}=4[/tex]

So the ratio is again 4:1

So the total ratio will be 4:1

In how many ways can a committee of three men and two women be formed from a group of eight men and seven women?

Answers

By counting principle rule, we have

[tex]\begin{gathered} \text{three men out of eight} \\ \binom{8}{3} \end{gathered}[/tex][tex]\begin{gathered} \text{two women out of seven} \\ \binom{7}{2} \end{gathered}[/tex]

Then the ways a committee of three men and two women can be formed is

[tex]\binom{8}{3}\cdot\binom{7}{2}=1176[/tex]

Therefore, there are 1176 possible ways.

15. Which of the following is the equation of the graph below? (2 points) y - - 3 2 -10 1 2 3 4 5 (A) y = -2x + 4 (B) y = 2x + 4 (C) y = -x - 2 (D y = -2x - 2

Answers

[tex]\begin{gathered} \text{ We see that the y-intercept is 4, } \\ \text{and the slope is} \\ m=\frac{4-0}{0-(-2)} \\ m=\frac{4}{2}=2 \\ \\ \text{Thus the equation is } \\ y=2x+4 \end{gathered}[/tex]

Identify the factors of the expression x^3 +4x^2-16x-64.

Answers

Solution:

Consider the following polynomial:

[tex]x^3+4x^2-16x-64[/tex]

By grouping terms, we get that the above polynomial is equivalent to the following expression:

[tex](x^3+4x^2)+(-16x-64)[/tex]

Now, we can apply common factor:

[tex]x^2(x^{}+4^{})-16(x+4)[/tex]

again, applying a common factor, we get:

[tex](x^2-16)(x+4)[/tex]

Note that the left factor is a difference of squares, therefore, the above expression is equivalent to:

[tex](x-4)(x+4)(x+4)[/tex]

this is equivalent to:

[tex](x-4)(x+4)^2[/tex]

So that, we can conclude that the factors of the given expression are:

[tex](x-4)[/tex]

and

[tex](x+4)^{2^{}}[/tex]

and we can conclude that:

[tex]x^3+4x^2-16x-64=(x-4)(x+4)^2[/tex]

arch
Convert the following equation
into slope-intercept form.
-8x + y = -9
0
y = [? ] x + [
Copyright © 200g-2022 International Academy of Science. All Rights Reserved
Enter
0

Answers

The slope-intercept form of the given equation is y = 8x - 9

What is slope intercept form?

Using a straight line's slope and the location of its y-axis intersection, the slope-intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope-intercept form.

The slope-intercept form is y=mx+b, where

m is the slope and

b is the y-intercept.

Here, we have

Given equation = -8x + y = -9

Rewrite in slope-intercept form.

Add 8x on both sides of the equation and we get

y = -9 + 8x

y = 8x - 9

Hence, the slope-intercept form of the given equation is y = 8x - 9

To learn more about the slope-intercept form from the given link

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Marks wants to paint a mural. He had 1 1/5 gallons of yellow paint, 1 1/6 gallons of green paint and 7/8 gallon of blue paint. Mark plan to use 3/4 gallons of each paint color. How many gallons of paint will he have left painting the mural?

Answers

Yello paint: 1 1/5

Green paint: 1 1/6

Blue paint: 7/8

After using 3/4 of each paint color, we have

- Yellow:

[tex]\begin{gathered} 1+\frac{1}{5}-\frac{3}{4} \\ \frac{5}{5}+\frac{1}{5}-\frac{3}{4} \end{gathered}[/tex]

The least common multiple of 5 and 4 is 20, then...

[tex]\begin{gathered} \frac{5\cdot4}{5\cdot4}+\frac{1\cdot4}{5\cdot4}-\frac{3\cdot5}{4\cdot5} \\ \frac{20}{20}+\frac{4}{20}-\frac{15}{20} \\ \frac{20+4-15}{20} \\ \frac{9}{20} \end{gathered}[/tex]

So, for yellow paint, we will have 9/20 gallons

- Green:

[tex]\begin{gathered} 1+\frac{1}{6}-\frac{3}{4} \\ \frac{6}{6}+\frac{1}{6}-\frac{3}{4} \end{gathered}[/tex]

The LCM of 6 and 4 is 12

[tex]\begin{gathered} \frac{6\cdot2}{6\cdot2}+\frac{1\cdot2}{6\cdot2}-\frac{3\cdot3}{4\cdot3} \\ \frac{12}{12}+\frac{2}{12}-\frac{9}{12} \\ \frac{12+2-9}{12} \\ \frac{5}{12} \end{gathered}[/tex]

So, for green paint, we will have 5/12 gallons

- Blue:

[tex]\frac{7}{8}-\frac{3}{4}[/tex]

LCM of 4 and 8 is 8

[tex]\begin{gathered} \frac{7}{8}-\frac{3\cdot2}{4\cdot2} \\ \frac{7}{8}-\frac{6}{8} \\ \frac{7-6}{8} \\ \frac{1}{8} \end{gathered}[/tex]

So, for blue paint, we will have 1/8 gallons

Now, we add them upp in order to obtain our anwser:

[tex]\frac{9}{20}+\frac{5}{12}+\frac{1}{8}[/tex]

The LCM of 8, 12 and 20 is 120

[tex]\begin{gathered} \frac{9\cdot6}{20\cdot6}+\frac{5\cdot10}{12\cdot10}+\frac{1\cdot15}{8\cdot15} \\ \frac{54}{120}+\frac{50}{120}+\frac{15}{120} \\ \frac{54+50+15}{120} \\ \frac{119}{120} \end{gathered}[/tex]

In conclusion, he will have left 119/120 gallons of paint

In summery, explain in your own words the steps to SOLVE for x.

Answers

To solve for x in any specific equation, we need to isolate x in one side of the equation. we can do that by adding, subtracting, multiplying, or dividing by a specific number on both sides of the equation.

For example:

X + 3 = 7

X + 3 - 3 = 7 - 3

X = 4

We solve for x when we subtract 3 on both sides of the equation.

Hello, is it possible to help me understand this question a little better?

Answers

[tex]\begin{equation*} x^2-2x+3-\frac{8}{3x+2} \end{equation*}[/tex]

1) Since the degree of the denominator is lower than the numerator's we can divide these expressions through long division that way:

As we can see in each step the aim is to cancel the leading coefficient.

2) Note that a Long Division, has a way to write its answer so we can tell that this is the answer:

[tex]\frac{3x^3-4x^2+5x-2}{3x+2}=\quad x^2-2x+3-\frac{8}{3x+2}[/tex]

Note that the remainder is written above the divisor on the final answer.

The area of the triangle below is 24.75 square centimeters. What is the length of the base?

Answers

Okay, here we have this:

Considering the provided figure and information, we are going to calculate the requested measure, so we obtain the following:

So to calculate the length of the base, we will solve in the formula for the area of the triangle, we have:

Triangle Area=(Base*height)/2

Triangle Area*2=Base*height

Base=(Triangle Area*2)/height

Let's replace:

[tex]\begin{gathered} Base=(24.75cm^2\cdot2)\frac{\placeholder{⬚}}{5.5cm} \\ =\frac{49.5cm^2}{5.5cm} \\ =9cm \end{gathered}[/tex]

Finally we obtain that the length of the base of triangle is 9 cm.

Two-thirds of the people on a hike are adults. If there are 36 adults, what isthe total number of people on the hike?

Answers

You have the following information:

- Two-thirds (which means 2/3) of the people on a hike are adults.

- There are 36 adults

In order to calculate the number of people, you consider that 36 is 2/3 of the total people. If you name x as the total people, the number of adults is 2/3x. Thus, you can write the following algebriac expression:

2/3 x = 36

you solve the previoues equation for x. First, you multiply both sides by 3 and you divide both sides by 2.

x = 36(3/2) = 108/2 = 54

Hence, the number of people on the hike is 54

How would I solve this. Since I’m not sure what formula I could be using to solve this or how?

Answers

Answer:

[tex]\begin{gathered} a)\text{ 23 \%} \\ b)\text{ w\lparen t\rparen= 90e}^{0.23t} \end{gathered}[/tex]

Explanation:

a)We have the general representation as follows:

[tex]w(t)\text{ = ae}^{kt}[/tex]

when t = 3, we have the value doubling

Thus: w(t) = 2 * 90 thousand = 180 thousand megawatts

Thus:

[tex]\begin{gathered} 180\text{ = 90e}^{3k} \\ e^{3k}\text{ = 2} \\ k\text{ = }\frac{ln\text{ 2}}{3}\text{ = 0.231} \end{gathered}[/tex]

This means we have the continuous growth rate at 23%

b) Writing w as a function of t, we have it that:

[tex]w(t)\text{ = 90e}^{0.23t}[/tex]

A shirt retails for $22.40. A 10% tax is then applied to the original. What is the final price after tax? $20.16 $24.64 $22.50 $32.40 $22.30

Answers

To solve this question, follow the steps below.

Step 01: Find the value of the tax.

If a tax of 10% is applied, then the tax is:

[tex]\begin{gathered} tax=\frac{10}{100}*22.40 \\ tax=2.24 \end{gathered}[/tex]

Step 02: Find the final price.

The final price is the original price + tax.

Then, the final price is:

[tex]\begin{gathered} final\text{ }price=22.40+2.24 \\ final\text{ }price=24.64 \end{gathered}[/tex]

Answer: $24.64.

ze space below the questo8. Each of the 10 floors in the largebuildings has 8 windows on the front andon the back and 4 windows on each ofthe 2 sides. A cleaning contractor willwash the windows for $6 each. What isthe cost of washing all the windows inthe 22 large buildings?

Answers

Step 1

Find the number of windows on each floor

In a large building, there are 10 floors, each floor has the following;

[tex]\begin{gathered} 8\text{ windows }in\text{ the front} \\ 8\text{ windows in the back} \\ 4\text{ windows on the side to the right} \\ \text{and} \\ 4\text{ windows to the side on the left} \\ \text{Therefore, each floor has 24 windows} \end{gathered}[/tex]

Step 2

Find the number of windows in a large building

[tex]\begin{gathered} \text{There are 10 floors,} \\ \text{Number of windows in each large building = 10 }\times24\text{ = 240 windows} \end{gathered}[/tex]

Step 3

Find the cost the cleaning contractor will take to clean the windows in each building.

[tex]\text{\$}6\text{ }\times240\text{ = \$}1440[/tex]

Step 4

Find the cost of cleaning all the windows in 22 large buildings

[tex]22\times\text{ \$}1440=\text{ \$}31,680[/tex]

Hence, the cost of washing all windows in the 22 large buildings = $31,680

Mr.Foltz has a box for gym class. In the box are 5 basketballs, 9 softballs, 12 volleyballs, and 23 soccer balls. what is the ratio of the vollyballs to basketballs?

Answers

[tex]\begin{gathered} In\text{ the box,} \\ \text{Basketball}\Rightarrow5 \\ \text{softball}\Rightarrow9 \\ \text{Volleyball}\Rightarrow12 \\ \text{Soccer}\Rightarrow23 \\ \text{Ratio of Vollyball to basketballs is as} \\ \frac{\text{Volleyball}}{\text{basketball}}=\frac{12}{5} \\ So,\text{ the option d is correct.} \end{gathered}[/tex]

What is the value of the expression below? 64 + 16 A. 4 C. - 4 B. 1 D. 8

Answers

We want to find the value of the expression:

[tex]\frac{64}{16}[/tex]

Since 2 is a common factor of both numerator and denominator, we divide by 2s:

[tex]\frac{64}{16}=\frac{32}{8}=\frac{16}{4}=\frac{8}{2}=\frac{4}{1}=\text{ 4}[/tex]

The answer is 4. (Option A)

I need to do the “use vocabulary in writing part” But if I can get help with all that would be much appreciated

Answers

• The same-side interior angles ∠A, and ∠B are congruent orderly to ∠D and ∠F.

And the Remote interior angle ∠C from ΔABC is congruent to the Remote Interior angle ∠D of triangle ΔDEF.

1) As congruent triangles have three congruent angles and sides in order, then we state that, using this specific vocabulary:

2) Δ ABC is congruent to ΔDEF, because

• The same-side interior angles ∠A, and ∠B are congruent orderly to ∠D and ∠F.

And the Remote interior angle ∠C from ΔABC is congruent to the Remote Interior angle ∠D of triangle ΔDEF.

3) Hence, that's the answer.

1+1 I dont know what's the answer

Answers

We are given the following operation

[tex]1+1[/tex]

The result of this operation is the addition of one and another one that is by definition 2, we represent it like thio

What is the value of x?

Answers

SOLUTION

The principle behind the Exterior Angle Theorem is that:

the sum of two interior angles is equal to one exterior angle.

In this question, we have that :

X + ( X - 48 ) = X + 50

Collecting like terms, we have that:

2 X - 48 = X + 50

2X - X = 50 + 48

X = 98 Degrees.

CONCLUSION: The value of X = 98 Degrees.

Question 3 of 5Select the correct answer from each drop-down menu.The graph of function p represents the profit, in dollars, from concert ticket sales when the tickets are sold for x dollars each.

Answers

In order for the concert to make money, the graph must be above the x-axis, because they y-axis represents the profit. This happens in the interval:

[tex](20,120)[/tex]

For the concert to lose money, the graph must be below the x-axis. This happens in two intervals:

[tex](0,20)\cup(120,\infty)[/tex]

DO ev ew 1 A local business is installing a ramp to the back door of t the ramp is 80 inches while the vertical height of the ran What is the approximate degree measure of the angle of 2

Answers

Using the given information, let's make a diagram

To find x, we just have to use the sine function which is equivalent to the ratio between the opposite leg and the hypotenuse.

[tex]\begin{gathered} \sin x=\frac{20}{80}=\frac{1}{4} \\ x=\sin ^{-1}(\frac{1}{4}) \\ x\approx14 \end{gathered}[/tex]Hence, the angle of elevation is 14°.

Rewrite the expression using the distributed Property and for the final answer cant have Double signs/operations

Answers

Distributive Property

The distributive property of the product with respect to the sum states that if a product and a sum are to be operated like follows:

x* ( y + z )

Then the result is the product of x by each term separately:

x* ( y + z ) = x*y + x*z

Now, we have the expression:

8 ( 2m + 1 )

Applying the distributive property:

8 * 2m + 8 * 1

16m + 8

A data set of monthly expediture rounded to the nearest dollar and cure at coffee shop by a sample of 700 household has a minimum value of 4 and a maximum value of 210 suppose we want to group these data into 6 classes of equal with assuming we take the lower limit of the 1st class as one and the upper limit of the sick class as 210 determine the class limit boundaries and midpoint for a group quantitive data table

Answers

EXPLANATION

Number of households = 700

Minimum value = $4

Maximum value = $210

Dividing this by the upper limit by by the needed number of classes: 210/ 6 = 35

The width of each class is 35.

Class width = 35

Class Limits Lower Boundary Upper Boundary Class midpoint

1 to 35 0.5 35.5 36/2 = 18

36 to 70 35.5 70.5 106/2= 53

71 to 105 70.5 105.5 176/2= 88

106 to 140 105.5 140.5 246/2= 123

141 to 175 140.5 175.5 316/2= 158

176 to 210 175.5 210.5 386/2= 193

The length of a rectangle is 2 meters less than 3 times the width. The perimeter is 60 meters. Find the width.The width ismeters.

Answers

Step 1

Let x= the width

[tex]3x-2=length[/tex]

(because the length is 2 meters less than 3 times the width)

Step 2

The perimeter of a rectangle is given as;

[tex]\begin{gathered} P=2length+2width \\ P=2(3x-2)+2x \\ P=60 \end{gathered}[/tex][tex]\begin{gathered} 60=6x-4+2x \\ 60=8x-4 \\ 60+4=8x \\ x=8m \end{gathered}[/tex]

Answer;

[tex]Width=8m[/tex]

Jessica was just offered a position as the Head Makeup Consultant. As a manager she will not earncommission or overtime. Her starting salary will be $38,500 per year and is based on a 40 hour workweek paid biweeklyDetermine Jessica's hourly rate. Will Jessica earn more as an hourly paid employee or manager?How much more or less? Show work for credit.

Answers

Assuming there are 52 woking weeks in a year (Since it is the standard used by companies). And in week Jessica can have a maximum of 40 hours, we can conclude that;

[tex]\begin{gathered} \text{Hourly rate (H) =}\frac{38,500\text{ per year}}{52\text{ we}eks\text{ per year (40 hours per we}ek\text{)}} \\ \text{Hourly rate (H) = }\frac{38,500}{52(40)} \\ H\text{ = 18.51} \end{gathered}[/tex]

Therefore Jessica's hourly rate is $18.51.

And by calculating her salary per year if she is paid hourly, let us again assume that there are 52 working weeks in a year and she works 8 hours per day 5 times a week as the standard working hours. We get;

[tex]\begin{gathered} \text{Yearly Salary (paid by hour) = 18.51/hour x 52 w}eeks\text{ x 8 hours/day x 5 days/w}eek \\ \text{Yearly Salary (paid by hour) = 18.51 x 52 x 8 x 5} \\ \text{Yearly Salar (paid by hour) = 38,500.80} \end{gathered}[/tex]

Therefore Jessica's salary per year if she is paid hourly is $38,500.80, so there is a $0.80 difference between her initial salary.

how to determine maximum or maximum point without using a graph

Answers

you could calculate the derivative and equalize it to zero,then you can evaluate the function in the boundary points of the domainand compare them to the ones found in the last step to find the maximum of a given function.

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