What is the value of the expression 4x−y2y+x when x = 3 and y = 3? −31918

What Is The Value Of The Expression 4xy2y+x When X = 3 And Y = 3? 31918

Answers

Answer 1

7 ( 1 + 3 )

Solve the sum inside the parentheses ( 1 + 3 = 4 )

7 ( 4 )

multiply

7*4 = 28

Since the sum must equal 28

7 + 21 = 28

Correct option = 7+21


Related Questions

hello im stuck on this hw problem and need help ty

Answers

The amount of money that Abdul is going to donate to the City Youth Fund is denoted by x, and the amount of money that Abdul is going to donate to the Educational Growth Foundation is denoted by y.

Since Abdul will donate up to $500, the sum of those amounts must be less or equal to 500.

[tex]x+y\leq500[/tex]

It is not possible to donate less than zero, therefore, we also have the following constrains

[tex]\begin{gathered} x\geq0 \\ y\geq0 \end{gathered}[/tex]

Abdul wants the amount of money donated to the Educational Growth Foundation to be at least 4 times the amount of money donated to the City Youth Fund, therefore, we have our final constrain

[tex]4x\leq y[/tex]

Combining those four regions, the solution is their interception, which is

the equation 5x+7=4x+8+x-1 is true for all real numbers substitute a few real numbers for x to see that this is so and then try solving the equation

Answers

The equation  5x+7 = 4x+8+x-1 is true for all real numbers.

Solution for the equation is 5x + 7 = 5x + 7.

Given,

The equation;  5x+7 = 4x+8+x-1

We have to find the solution for this equation.

Here,

5x + 7 = 4x + 8 + x - 1 = 5x + 7

The equation is true for all real numbers;

Lets check;

x = 6

 5 x 6+7 = 4 x 6 + 8 + 6 - 1

30 + 7 = 24 + 13

37 = 37

x = 15

 5 x 15 + 7 = 4 x 15 + 8 + 15 - 1

75 + 7 = 60 + 22

82 = 82

That is,

The equation 5x + 7 = 4x + 8 + x - 1  is true for all real numbers.

The solution for the equation is  5x + 7 = 5x + 7.

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Find the equation for thefollowing parabola.Vertex (0,0)Focus (2, 0)A. 2x^2 = yB. y^2 = 8x2C. X^2 = ByD. y^2 = 8x

Answers

To answer this question we need the equation of a parabola that uses the distance from the focus to the vertex.

This formula is,

[tex]4p(y-k)=(x-h)^2[/tex]

where,

p is the distance from the focus to the vertex, and the point (h,k) is the vertex.

[tex]\begin{gathered} \text{focus (2,0)} \\ \text{Threrefore} \\ p=2 \end{gathered}[/tex][tex]\begin{gathered} \text{vertex (0 , 0)} \\ \text{Therefore,} \\ h=0 \\ k=0 \end{gathered}[/tex]

Let us now substitute the data into the equation of the parabola,

[tex]\begin{gathered} 4\times2(y-0)=(x-0)^2 \\ 4\times2(y)=x^2 \\ 8y=x^2 \end{gathered}[/tex]

Hence, the equation for the parabola is, x² = 8y.

Option C is the correct answer.

3) An experiment is designed to compare the average salaries in a particular Position in two competing companies. The null hypothesis is assumed to be that there is no difference in the average salaries of empoty employees in a particular position in the two companies. What is the alternative hypothesis?

Answers

Given:

There are two competing companies.

Required:

We need to find the alternative hypothesis

Explanation:

If the null hypothesis assumes equal average salaries (i.e. no difference), then the alternative can take on three cases:

A)

One mean is greater than the other

B)

One mean smaller than the other

C)

The means are not equal

Now here A and B sound the same, so I shoukd be more precise,

PLEASE HELP I WILL MARK BRAINLIEST!!Which of the following equations is a linear function?A) 2x + 3y = 6B) y = x^2 + 1C) y=x^3D) x^2 + y^2 = 9

Answers

Given data:

The given sets of equations.

The polynomial in which degree of the variable is 1 is said to be linear expression.

The first option 2x+3y=6 is only linear function.

Thus, the option (A) is correct.

Which describes a number that cannot be irrational?A. a number that represents the ratio of the circumference to the diameter of a circle B. a number that can be written as the ratio of two integers C. a number that can be used to solve an algebraic equation D. a number that represents the length of the diagnostic of a square

Answers

a number that can be written as the ratio of two integers (option B)

Explanation:

Irrational number cannot be written in the fractional form

Rational numbers can be written in the form of fraction

Checking the options:

a) Circumference = πd

where d = diameter

π = Circumference/diameter

π is an irrational number

b) A number written as ratio of two intergers can be written in the form of fraction

Hence, it is rational

c) A number that we can use in solving an algebraic equation can be any real number.

From a real number, we have rational and irrational numbers. So, there is the likelihood we get an irrational number

d) side of a square = a

diagonal² = a² + a²

length of diagonal of a square = √(a² + a²) = √2a²

This can also yield either irrational or rational numbers.

A number that cannot be irrational means a number that is rational.

From the option, the only one without doubt that it is rational is a number that can be written as the ratio of two integers (option B)

Haven’t done this type of math before could use some help:)

Answers

Third row:

The balance stays the same as the previous row ($337.52).

We have 12 days between 9/7 and 9/18, so we can calculate the product/sum as:

[tex]S=12\cdot337.52=4050.24[/tex]

NOTE: the product/sum will be used to calculate the average balance for the month.

Fifth row:

The balance stays the same as the previous row ($399.78).

We have 11 days between 9/20 and 9/30.

Then, the product/sum is:

[tex]S=399.78\cdot11=4397.58[/tex]

Total:

The total product/sum is:

[tex]S_{\text{Total}}=1937.60+337.52+4050.24+399.78+4397.58=11122.72[/tex]

Average daily balance:

We can take the total product/sum and divide by the total amount of days.

[tex]\text{average daily balance}=\frac{11122.72}{30}=370.76[/tex]

Finance charge:

[tex]\text{ finance charge}=\frac{1.25}{100}\cdot370.76=4.63[/tex]

New balance:

[tex]\begin{gathered} \text{New balance = previous balance - payment/credits + finance charge + new purchases} \\ \text{New balance = }387.52-50+4.63+62.26=404.41 \end{gathered}[/tex]

The new balance is $404.41.

Sharon's house, the library, and Lisa's house are all on the same straight road. Sharon has to ride her bike 1 3/5 miles to get from her house to the library and another 2 3/4 miles to get from the library to Lisa's house. How far does Sharon live from Lisa? Explain how you got your answer.

Answers

Sharon lives [tex]4\frac{7}{20}[/tex] miles away from Lisa .

In the question ,

it is given that

distance between Sharon and Library is [tex]1\frac{3}{5}[/tex] miles .

distance between Library to Lisa's house is [tex]2\frac{3}{4}[/tex] miles .

So according to the question

distance between Sharon's house and Lisa's house = (distance between Sharon and Library) + (distance between Library to Lisa's house) .

On substituting the values from above ,

we get ,

distance between Sharon's house and Lisa's house = [tex]1\frac{3}{5}[/tex] + [tex]2\frac{3}{4}[/tex]

= (5+3)/5 + (8+3)/4

= 8/5 + 11/4

taking LCM as 20 and solving further we get

= 32/20 + 55/20
= 87/20

= [tex]4\frac{7}{20}[/tex]

Therefore , Sharon lives [tex]4\frac{7}{20}[/tex] miles away from Lisa .

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The answers available are SSS SAS CPCTC and definition of congruence

Answers

Solution

The diagram below will be of help

From the above, we have two sides to be equal and an angle to be equal

Therefore, the answer Side, Angle, Side (SAS)

In 2001, Rodney Hampton earned $75,200 as a self-employed worker. He also earned $41,350 as an employee. How much FICA tax did he pay for both earnings? Note:Self-employed tax rate is 15.3% and the employee tax rate is 7.65%.$14,668.88$14,577.25$14,324.09$14,225.50None of these choices are correct.

Answers

Step 1: Rodney Hampton earned $75,200 as a self-employed worker

% tax rate for self employed = 15.3%

[tex]\begin{gathered} =15.3\text{ \% of \$75200} \\ =\frac{15.3}{100}\text{ x \$75200} \\ =11505.6 \\ =\text{ \$11505.6} \end{gathered}[/tex]

Step 2: Rodney Hampton earned $41,350 as a employee worker

%tax rate for employee = 7.65%

[tex]\begin{gathered} =\text{ 7.65\% of \$41350} \\ =\text{ }\frac{7.65}{100}\text{ x \$41350} \\ =\text{ 3163.3} \\ =\text{ \$3163.3} \end{gathered}[/tex]

Step 3: FICA tax paid for both earnings = $11505.6 + $3163.3

= $14668.875

=$14668.88

Hence FICA tax paid for both earnings = $14668.88

A figure is made up of a triangle and a square. The square andthe triangle have the same base of 9 inches. The triangle has aheight of 7 inches, what is the total area of the figure?

Answers

To solve the exercise, it is helpful first to draw the situation that the statement describes:

The total area of ​​the figure will be

[tex]A_{\text{total}}=A_{\text{square}}+A_{\text{triangle}}[/tex]

Then, we can calculate the area of ​​the square using the following formula:

[tex]\begin{gathered} A_{\text{square}}=s\cdot s \\ \text{ Where s is one side of the square} \end{gathered}[/tex]

So, we have:

[tex]\begin{gathered} s=9in \\ A_{\text{square}}=s\cdot s \\ A_{\text{square}}=9in\cdot9in \\ \boldsymbol{A}_{\boldsymbol{square}}\boldsymbol{=81in}^{\boldsymbol{2}} \end{gathered}[/tex]

Now, we can calculate the area of the triangle using the following formula:

[tex]\begin{gathered} A_{\text{triangle}}=\frac{b\cdot h}{2} \\ \text{ Where b is the base and} \\ h\text{ is the height of the triangle} \end{gathered}[/tex]

So, we have:

[tex]\begin{gathered} b=9in \\ h=7in \\ A_{\text{triangle}}=\frac{b\cdot h}{2} \\ A_{\text{triangle}}=\frac{9in\cdot7in}{2} \\ A_{\text{triangle}}=\frac{63in^2}{2} \\ \boldsymbol{A}_{\boldsymbol{triangle}}\boldsymbol{=31.5in}^{\boldsymbol{2}} \end{gathered}[/tex]

Finally, we calculate the total area of ​​the figure

[tex]\begin{gathered} A_{\text{total}}=A_{\text{square}}+A_{\text{triangle}} \\ A_{\text{total}}=81in^2+31.5in^2 \\ \boldsymbol{A}_{\boldsymbol{total}}\boldsymbol{=112.5in}^{\boldsymbol{2}} \end{gathered}[/tex]

Therefore, the total area of the figure is 112.5 square inches, and the correct answer is option C.

A point is chosen at random in the square shown below. Find the probability that the point is in the shaded circular region. Each side of the square is 6in, and the radius of the circle is 3in.Use the value 3.14 for π. Round your answer to the nearest hundredth.

Answers

We will have the following:

First, we determine the area of the square and of the shaded region, that is:

[tex]\begin{gathered} A_s=6in^2\Rightarrow A_s=36in^2 \\ \\ A_c=\pi(3)^2\Rightarrow A_c=9\pi in^2 \end{gathered}[/tex]

Now, we will have that the probability will be of:

[tex]P=\frac{9\pi}{36}\Rightarrow P=\frac{\pi}{4}\Rightarrow P\approx0.79[/tex]

So, the probability is approximately 79%.

Hi, can you help me answer this question please, thank you!

Answers

[tex]\begin{gathered} t=\frac{(\bar{x_1}-\bar{x_2})}{\sqrt[]{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}_{}_{}}} \\ \end{gathered}[/tex]

From the problem we have

[tex]\begin{gathered} n_1=50 \\ n_2=30 \\ \bar{x_1}=2.31 \\ \bar{x_2}=2.02 \\ s_1=0.89 \\ s_2=0.61 \end{gathered}[/tex]

We replace in t

[tex]\begin{gathered} t=\frac{(2.31-2.02)}{\sqrt[]{\frac{(0.89)^2_{}}{50_{}}+\frac{(0.61)^2_{}}{30_{}}_{}}} \\ t=\frac{0.29}{\sqrt[]{0.028245_{}_{}}} \\ t=1.725 \\ t=1.73 \end{gathered}[/tex]The answer is t=1.73

Two towns are 1050 miles apart, a group of hikers start from each town and walk the trail toward each other. They meet after a total hiking time of 200 hours. If one group travels 1 1/2 miles Per hour faster than the other group, find the rate of each group

Answers

Answer:

Rate of the faster group = 3.38 miles per hour

Rate of the slower group = 1.88 miles per hour

Explanation:

Let x = rate of the slower group

Therefore the rate of the faster group will be x + 1 1/2 = x + 3/2 = x + 1.5

From the question, we're told that the two groups traveled for a total hiking time of 200 hours.

We know that distance = rate x time

So the distance of the slower group will be = 200x

And the distance of the faster group will be = 200(x + 1.5)

So if the distance between each town is 1050, we can then solve of x as shown below;

[tex]\begin{gathered} 200x+200(x+1.5)=1050 \\ 200x+200x+300=1050 \\ 400x=750 \\ x=\frac{750}{400} \\ x=1.88\text{ mph} \end{gathered}[/tex]

Therefore the rate of the faster group = 1.88 + 1.5 = 3.38 mph.

Terry invested $2,200 in the stock market for 2 years. If the investment earned 12%, how muchmoney did Terry earn in 2 years?

Answers

We will have that $2200 represent the 100%, then how much money does 12% represent.

In order to solve for the ammount of money we multiply the invested ammount ($2200) times the percentage we want to know (12%) and divide it by 100%, that is:

[tex]m=\frac{2200\cdot12}{100}\Rightarrow m=264[/tex]

Here we can see, he earned $264 in those 2 years.

Circumference of a circleThe radius of a circle measures 16 m. What is the circumference of the circle?Use 3.14 for, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Solution:

Given:

[tex]\text{radius of a circle, r = 16m}[/tex]

The circumference (C) of a circle is given by;

[tex]\begin{gathered} C=2\pi r \\ \text{where;} \\ C\text{ is the circumference of the circle} \\ r\text{ is the radius} \end{gathered}[/tex]

Hence,

[tex]\begin{gathered} r=16m \\ \pi=3.14 \\ C=\text{?} \end{gathered}[/tex]

Thus,

[tex]\begin{gathered} C=2\pi r \\ C=2\times3.14\times16 \\ C=100.48m \end{gathered}[/tex]

Therefore, the circumference of the circle is 100.48m

HELP PLEASEEEEE!!!!!!

Answers

The two rational number D and point R are found as 2/7 and 4/7 respectively.

What is meant by the term rational number?Rational numbers are those that can be specified in the type p/q, for which p and q are integers and q≠0 is a negative number. The distinction among rational numbers as well as fractions is that fractions cannot include a negative denominator or numerator. As a result, the denominator and numerator of a fraction were all numbers (denominator  q≠0), whereas the denominator and the numerator of rational numbers are integers.

For the given question.

The number line is given with the rational number D and R to be plotted.

There are 7 units between the points 4 and 5.

D point is 2 units right of 4.

Thus, D = 2/7

R point is 4 units right of point 4.

Thus, R = 4/7

Thus, the two rational number D and R are found as 2/7 and 4/7 respectively.

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MEASUREMENT Choosing metric measurement units Fill in the blanks below with the correct units. (a) Amanda bought a candy bar. Its mass was about 50 ? (b) A dollar bill is about 15 ? long (c) The can of soda held about 350 .

Answers

Explanation

We are asked to fill in the missing blanks

Part 1

The weight of a Candy bar is in grams

So the answer will be

Amanda bought a candy bar. Its mass was about 50 grams

Part 2

A dollar bill should be about 15 centimeters

Therefore, the answer is

A dollar bill is about 15 centimeters long

Part 3

A can of soda should a capacity in mililiters

Therefore, the answer will be

The can of soda held about 350 mililiters

Which number line shows the correct solution to 4y - 82-20 ? H 4 -3 -2 -1 0 1 2 3 4 5 HHH O > & -3 -2 -1 0 1 2 3 4 5 HH H -4 -3 -2 -1 0 1 1 2 3 4 5 H → -3 -2 -1 0 1 2 3 4 5

Answers

To find which of the lines represent the solution we first need to solve the inequality:

[tex]\begin{gathered} -4y-8\ge-20 \\ -8+20\ge4y \\ 12\ge4y \\ \frac{12}{4}\ge y \\ 3\ge y \end{gathered}[/tex]

the last line is equivalent as:

[tex]y\leq3[/tex]

Now that we have the solution we can look at the line that represents it. The solution tells us that y is less or equal to 3, this means that the solutions are to the left of the number 3. Now, since the inequality is not an exact one that means that the 3 is also a solution, which also means that the circle over the 3 has to be a solid one.

With this in mind we conclude that the line representing the solution is the third option.

i need help with this asap please check work when done

Answers

Given the parent function

[tex]y=\cos x[/tex]

From the graph,

The range of the function is best modelled by the interval

Comparing the function with general equation of the cosine function,

[tex]B=1[/tex]

The formula for the period is,

[tex]T=\frac{2\pi}{B}[/tex]

There

Choose the scenarios that demonstrate a proportional relationship for each person's income.
Millie works at a car wash and earns $17.00 per car she washes.
Bryce has a cleaning service and charges $25.00 plus $12.50 per hour.
Carla makes sandwiches at her job and earns $7.85 per hour.
Tino is a waiter and makes $3.98 per hour plus tips.

Answers

Choose the scenarios that demonstrate a proportional relationship for each person's income.

Millie works at a car wash and earns $17.00 per car she washes.

Bryce has a cleaning service and charges $25.00 plus $12.50 per hour.

Carla makes sandwiches at her job and earns $7.85 per hour.

Tino is a waiter and makes $3.98 per hour plus tips.

Segment RS is translated by (x+1, y-2) and then reflected over the x-axis. The resulting segment R" S" has coordinates R" (7,3) and
S" (2,7). What are the coordinates of the segment RS?

can someone pls help meee

Answers

The coordinates of segment RS are obtained as R(6, -1) and S(1, -5) for the given translation.

What is termed as the reflection over the axis?The line of reflection is the point at which the image satisfy the axis of reflection. There are two kinds of reflections: x-axis reflections and y-axis reflections. Vertical reflections are reflections that cross the x-axis. Horizontal reflections are reflections that cross the y-axis.

For the given question;

Segment RS is translated by (x+1, y-2).

Then, the image formed is again reflected over the x-axis to form R" S" has coordinates R" (7,3) and S" (2,7).

To find the measure of R and S, first find the x -axis reflection of R" S".

R" (7,3) = R'(7, -3)and S" (2,7) = S'(2, -7)

As,  RS was translated by (x+1, y-2).

Then, subtract 1 and add 2 to its coordinates.

R'(7, -3) = R (7 - 1, -3 + 2) = R(6, -1)S'(2, -7) = S(2- 1, -7 + 2 ) = S(1, -5)

Thus, the coordinates of segment RS are obtained as R(6, -1) and S(1, -5).

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The sides of triangle ABC are: AB = 6 cm,BC = 12 cm, AC = 10cm. K, M and P arethe midpoints of the sides AB, BC and AC respectivelyare the midpoints of the sides and the midpoints of the sides. Calculate the perimeter of KMP.

Answers

Answer: By inspecting the triangle we can come up with the following relationships, using the proportionality:

[tex]\begin{gathered} \frac{12}{10}=\frac{6}{x}\rightarrow(1) \\ \frac{12}{6}=\frac{6}{y}\rightarrow(2) \\ \frac{6}{12}=\frac{3}{z}\rightarrow(3) \end{gathered}[/tex]

Solving the three equations, (1) (2) and (3) gives the answer for x,y,z which are the three sides of the smaller triangle, the steps are as follows:

[tex]\begin{gathered} x=KM=5 \\ y=MP=3 \\ z=KP=6 \end{gathered}[/tex]

Therefore the perimeter is as follows:

[tex]\begin{gathered} P=x+y+x=5+3+6=14 \\ P_{(KMP)}=14 \end{gathered}[/tex]

Graph the line by plotting any two ordered pairs with integer value coordinates that satisfy the equation.- 21 = 0AnswerKeypadKeyboard ShortcutsPoints can be moved by dragging or using the arrow keys. Any lines or curves will be drawn once allrequired points are plotted and will update whenever a point is moved.10SI10310101

Answers

We are given the following equation of a line.

[tex]-2x=0[/tex]

Let us first solve the above equation for x.

Divide both sides of the equation by -2

[tex]\begin{gathered} -2x=0 \\ \frac{-2x}{-2}=\frac{0}{-2} \\ x=0 \end{gathered}[/tex]

So, the solution is x = 0

This means that the two ordered pairs must contain the x-coordinate 0 and the y-coordinate can be any value you like.

For example:

(0, -5) and (0, 5)

Here the x-coordinate is 0 and the y-coordinate is -5 and 5.

Let us plot these ordered pairs and the line on the given graph.

A periodic deposit is made into an annuity with the given terms. Find how much the annuity will hold at the end of the specified amount of time. Round your answer to the nearest dollar.Regular deposit:$1300Interest rate:4.2%FrequencyannuallyTime:17 yearsFuture value: $

Answers

SOLUTION

We will use the formula

[tex]FV=P\lbrack\frac{(1+r)^n-1}{r}\rbrack[/tex]

Where FV represents the future value annuity

P = Periodic payment = 1300

r = interest rate = 4.2% = 0.042

n = number of periods = 17 years.

So we have

[tex]\begin{gathered} FV=P\lbrack\frac{(1+r)^n-1}{r}\rbrack \\ FV=1300\lbrack\frac{(1+0.042)^{17}-1}{0.042}\rbrack \\ FV=1300\lbrack\frac{(1.042)^{17}-1}{0.042}\rbrack \\ FV=31,341.485 \end{gathered}[/tex]

Hence, the answer becomes $31,341 to the nearest dollar

Multiply. (−5 2/5)⋅3 7/10. −19 49/50. −15 7/25. −9 1/10. -1 7/10

Answers

[tex](-5\frac{2}{5})\cdot3\frac{7}{10}=[/tex]

To perform this multiplication, first, we have to transform the mixed numbers into fractions as follows:

[tex]-5\frac{2}{5}=-\frac{5\cdot5+2}{5}=-\frac{27}{5}[/tex][tex]3\frac{7}{10}=\frac{3\cdot10+7}{10}=\frac{37}{10}[/tex]

Substituting these values into the multiplication, we get:

[tex]\begin{gathered} (-5\frac{2}{5})\cdot3\frac{7}{10}= \\ =(-\frac{27}{5})\cdot\frac{37}{10}= \\ =-\frac{27\cdot37}{5\cdot10}= \\ =-\frac{999}{50} \end{gathered}[/tex]

This result can be expressed as a mixed number as follows:

[tex]-\frac{999}{50}=-\frac{950+49}{50}=-(\frac{950}{50}+\frac{49}{50})=-(19+\frac{49}{50})=-19\frac{49}{50}[/tex]

The owner of a movie theater was countingthe money from 1 day's ticket sales. He knewthat a total of 150 tickets were sold. Adulttickets cost $7.50 each and children's ticketscost $4.75 each. If the total receipts for theday were $891.25, how many of each kind ofticket were sold?

Answers

65 adult's ticket and 85 children's ticket was sold

Explanation:

Let the number of tickets for children = x

Let the number of adults ticket = y

Total tickets = 150

x + y = 150 ....equation 1

The cost of tickets per child = $4.75

The cost of tickets per adult = $7.50

Total revenue from tickets = $891.25

Total revenue from tickets = The cost of tickets per child × number of children ticket +

The cost of tickets per adult * number of adults ticket

891.75 = 4.75(x) + 7.5(y)

891.75 = 4.75x + 7.5y ...equation 2

x + y = 150 ....equation 1

891.75 = 4.75x + 7.5y ...equation 2

Using substitution method by making x the subject of formula in equation 1:

x = 150 - y

Substitute for x in equation 2:

891.25 = 4.75(150 - y) + 7.5y

891.25 = 712.5 - 4.75y + 7.5y

891.25 = 712.5 + 2.75y

891.25 - 712.5 = 2.75y

178.75 = 2.75y

y = 178.75/2.75

y = 65

Substitute for x in equation 1:

x + 65 = 150

x = 150 - 65

x = 85

Hence, 65 adult's ticket and 85 children's ticket was sold

Algebra Find the value(s) of the variables in each kite.

Answers

56º,34º

1) A kite is a quadrilateral that according to the following theorem:

2) And examining that picture, we can tell that the angle labeled as 8x is congruent to its opposite counterpart.

3) In addition to this, but not less important that bigger diagonal bisects that the other pair of opposite angles. So we can sketch the following

So we can pick one triangle and write out the following according to the Triangle sum theorem:

[tex]\begin{gathered} 8x+(5x-1)+90=180 \\ 8x+5x-1+90=180 \\ 13x+89=180 \\ 13x=180-89 \\ \frac{13x}{13}=\frac{91}{13} \\ x=7 \end{gathered}[/tex]

4) Finally, let's plug into each one the quantity of x and get the measure of those angles:

The functions and are defined as follows.

r(x)= -x+1
s(x)= x^2+2

Find the value of r(s(5))

Answers

Answer: [tex]r(s(5))=-26[/tex]

Step-by-step explanation:

[tex]s(5)=5^2 +2=27\\\\r(s(5))=r(27)=-27+1=-26[/tex]

6. ΔABC is mapped onto ΔA'B'C' by a dilation at D. Complete the statement: The dilation of 4/3 is _____. a. a reduction b. an enlargement

Answers

Dilation involves adjusting the size of an object or a figure, without altering its shape.

The object can be increased or decreased depending on its scale factor.

A scale factor less than 1 results in a figure of reduced dimensions whereas, a scale factor greater than 1 results in a figure or an object of enlarged dimensions.

In the ΔABC, a dilation of 4/3, which is greater than 1, will thus result into an enlargement.

The correct option is B.

Other Questions
a street light is at the top of a ft. tall pole. a man ft tall walks away from the pole with a speed of feet/sec along a straight path. how fast is the tip of his shadow moving when he is feet from the pole? Using at least five (5) of the performance indicators, what can management do to improve the firm's profitability? Find the length of the third side. If necessary, write in simplest radical form. 9 5 Submit Answer Answer: Use your knowledge of area and perimeter to complete the following problems.Use 3.14 forand round to the nearest hundredths place, whenever necessary.Show all work.Part 1:A farmer bought 30 feet of fencing to build a circular pen for his pigs.What is the diameter of the pen he can build with 30 feet of fencing?The farmer also needs to buy a certain type of seed for the grass in the pen.Each bag of seed can cover 50 square feet of land.How many bags of seed will the farmer need to buy? A store had 896 swimsuits that were marked to sale at $44.95/swimsuit. Each suit was marked down $16.90. Find the reduced price using the formula M = S - N, where M is the markdown, S is the original selling price, and N is the reduced price. The reduced price is ? assuming sales prices and cost behavior remain unchanged, when variable costing is used, when does net income change in response to changes in unit sales? Josephine bought a bag of garri forN320.00 and sold it for N400.00.What was her percentage profit Point Pis on line segment OQ.Given OQ = 4s 10, OP = 23, and PQ = I,determine the numerical length of OP. Which element of the Constitution most reflects an Anti-Federalist belief?O A. The First Amendment protects the freedoms of speech andreligion. B. Article I establishes a bicameral legislature to create federal laws. C. Article V creates a process for amending the Constitution in thefuture.OD. The preamble outlines important principles for the Constitution. I need help with this practice I am new to this subject of mathematics (algebra) Can you show me how to solve this STEP-BY-STEP? When reconciling petty cash, you determine that the total withdrawals according the petty cash slips is $169.00. Since the fund started with $200.00, there should be $31.00 remaining in the petty cash box. When the cash is counted, there is $31.00. How is this entered in the journal? Will mark brailiestA. Since the difference between the established amount and the total cash and withdrawals is zero, each account the disbursements are charged to is debited to total $31.00 and the Cash account is credited $31.00 to replenish the fund. No entry is needed in the Cash Over and Short account.B. Since the difference between the established amount and the total cash and withdrawals is zero, each account the disbursements are charged to is debited to total $169.00 and the Cash account is credited $169.00 to replenish the fund. No entry is needed in the Cash Over and Short account.C. Since the difference between the established amount and the total cash and withdrawals is zero, each account the disbursements are charged to is debited to total $169.00 and the Cash account is credited $31.00 to replenish the fund. No entry is needed in the Cash Over and Short account.D. Since the difference between the established amount and the total cash and withdrawals is zero, each account the disbursements are charged to is debited to total $169.00 and the Cash account is credited $200.00 to replenish the fund. No entry is needed in the Cash Over and Short account. find the natural logarithm of7.56 How do I find the slope and Y-intercept of the line x+2y=-2 Which is not a statistical question? * 1 point how much did the corn plants grow last week? what is the height of the tallest corn plant? how much water did the corn plants get each day last month? how tall are the corn plants? the purpose of zoning laws is to: multiple choice assist real estate agents in finding homes for sale. reduce real estate property taxes. minimize people moving from an area. encourage new housing development. restrict property use. A hot air balloon is cruising at an altitude of 150 meters above the ground when it begins its descent. The balloon descends at a rate of 5.5 meters per minute. Write an equation to model when the balloon will reach an altitude of 95 meters above the ground. Use n to represent the unknown 1. describe the end behavior. 2. determine whether it represents an odd degree or an even degree function.3. state the number of real zeroes If an object that weighs 50 N displaces a volume of water that weighs 10 N,what is the buoyant force on the object? please help ASAP thank you! a 23-year old woman presents to the emergency room with lethargy, nausea, and vomiting. she is tachypneic on physical exam and has a fruity odor to her breath. her urine shows 4 ketones and glucose and her fingerstick glucose reveals a blood glucose level of 650 mg/dl. what should be the initial therapy in this patient?