Mathematics High School

Line QR bisects angle PQS. Solve for x and find measure PQS:
m

Answers

Answer 1
full question is as follow

Line QR bisects angle PQS. Solve for x and find measure PQS:
m<PQS = 4x - 6, m<PQR = x + 11 ...?

 m<PQR  = (1/2) (m<PQS) = (1/2)( 4x - 6)

    so  x + 11 = 2x - 3 implies x =14

and then m<PQS = 4x - 6 =50°


Related Questions

Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $28.30

If x represents the number of quarters in the jar, what is an equation that can be used to find the number of quarters? &How many quarters and how many nickels are there? ...?

Answers

Based on the given details above, here are the answers to your question.
If x represents the number of quarters in the jar, the equation that can be used to find the number of quarters is this 0.25x + 0.05(150 x) = 28.30.
Then, for the how many quarters and how many nickels are there, the answer is  46 quarters; 104 nickels. Hope this answer helps. 

Pam is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car A is 0.46, and the probability that she will purchase car B is 0.34. What is the probability that she will not purchase either car A or car B?
0.12
0.40
0.20
0.80

Answers

.80
its a very simple if im doing it right you add your two percentage then devide by two 


The probability that Pam will not purchase either car A or car B is 0.20.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Probability that she will purchase car A = 0.46

Probability that she will purchase car B = 0.34

The probability that she will purchase either car A or car B is

⇒ [tex]0.46+0.34[/tex]

⇒ [tex]0.80[/tex]

Thus the probability that she will not purchase either car A or car B is

⇒ [tex]P(A)=1-0.80[/tex]

⇒ [tex]P(A)=0.20[/tex]

Hence we can conclude that the probability that Pam will not purchase either car A or car B is 0.20.

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49 % is what of 70 and why do you get the answer of my question.

Answers

The answer is 0.49 because 70% of 40 is 0.49

Determine the value c so that each of the following
functions can serve as a probability distribution of
the discrete random variable
X:(a)
f(x) =c(x2+ 4), for x= 0,1,2,3;
(b)f(x) =c(choose x from2)(choose 3 from 3-x) for x= 0,1,2.

Answers

Final answer:

The value of c, which must be determined for a discrete random variable to serve as a probability distribution, should be 1/30 for the function f(x) = c(x^2 + 4) and 1/3 for the function f(x) = c(choose 2 from x)*(choose 3 from 3-x).

Explanation:

The value of c for a probability distribution needs to be determined such that the total sum of the probabilities is equal to 1. For this, we need to calculate the sum of all possible outcomes and then normalize it to 1.

For the function f(x) = c(x2 + 4), where x = 0, 1, 2, 3, the total sum of the outcomes without the multiplying factor, c, is (02+4) + (12+4) + (22+4) + (32+4) = 4 + 5 + 8 + 13 = 30. The factor c then must be 1/30 for the probabilities to sum up to 1.For the function f(x) = c(choose 2 from x)*(choose 3 from 3-x), where x = 0, 1, 2, the total sum of outcomes without c is (choose 2 from 0)*(choose 3 from 3) + (choose 2 from 1)*(choose 3 from 2) + (choose 2 from 2)*(choose 3 from 1) = 0 + 0 + 3 = 3. Therefore, the factor c for this function must be 1/3.

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highest common factor of 24 and 56

Answers

highest common factor is 8

which equation when graph has x intercepts at (2,0) and (4,0) and a y-intercept of (0,-16)?
A. F(x)= -(x-2)(x-4)
B. F(x)= -(x+2)(x+4)
C. F(x)=-2(x-2)(x-4)
D. F(x)= -2(x+2)(x+4)

Answers

The correct answer is C. if you plug zero in for 'x' you will get the y-intercept.
-2(0-2)(0-4)= -2(-2)(-4)=-16
Next set each factor equal to zero to get the x-intercepts.
(x-2)=0 x = 2 (2,0)
(x-4) = 0 x = 4 (4,0)

I hope this helps

Answer:

The answer is C. on Edgenuty.

which is bigger 0.07 or 0.005?

Answers

0.07 is the larger number out of the two

An 8-pound bag of tomatoes costs $5.60. At the same rate, what would be the cost of 11 pounds of tomatoes?
A. $8.50
B. $7.00
C. $7.70
D. $6.50 ...?

Answers

Here is the solution to the given problem above.
Given that for an 8 pound bag of tomatoes costs $5.60, we would want to know how much will it be for 11 pounds. First, we should know how much does it cost per pound. So 5.60 divided by 8 is 0.7. So per pound of tomatoes costs $0.7. Now to know how much for 11 pounds, we multiply 0.7 by 11 and we get $7.70. The correct answer therefore would be option C. $7.70. Hope this answer helps.

At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, $430 worth of strawberries and peaches were sold, and a total of 23 baskets were sold. If x represents baskets of strawberries and y represents baskets of peaches, how many baskets of peaches were sold on Saturday?

20x+18y=430
x+y=23

8 baskets
11 baskets
12 baskets
15 baskets

Answers

Final answer:

To find the number of baskets of peaches sold on Saturday, we can set up a system of equations and solve it using elimination or substitution. The answer is 15 baskets Option Dof peaches.

Explanation:

To solve this problem, we need to use a system of equations. Let's call the number of baskets of strawberries x and the number of baskets of peaches y. We can set up the following equations:

20x + 18y = 430 (equation 1)

x + y = 23 (equation 2)

We can solve this system of equations using substitution or elimination. Let's use elimination:

Multiply equation 2 by 18 to make the coefficients of y in both equations cancel:

18x + 18y = 414 (equation 3)

Subtract equation 3 from equation 1 to eliminate y:

(20x + 18y) - (18x + 18y) = 430 - 414

2x = 16

Divide both sides of the equation by 2:

x = 8

Substitute x = 8 into equation 2 to find y:

8 + y = 23

y = 23 - 8

y = 15

Therefore, 15 baskets of peaches were sold on Saturday.

Sam decides to build a square garden. If the area of the garden is 9x2 − 24x + 16 square feet, what is the length of one side of the garden?

(3x + 4) feet

(3x − 4) feet

(4x − 3) feet

(4x + 3) feet ...?

Answers

(3x − 4) feet

Solve as a square:
(3x - 4)(3x - 4) = 9x² − 24x + 16

Answer:  The correct option is (B) [tex](3x-4).[/tex]

Step-by-step explanation:  Given that Sam decides to build a square garden whose area is as follows:

[tex]A=9x^2-24x+16~\textup{square feet}.[/tex]

We are to find the length of one side of the garden.

Since the given garden is of a square shape, so the length of each side is same.

That is, the area of the garden must be a perfect square trinomial.

We have

[tex]A\\\\=9x^2-24x+16\\\\=(3x)^2-2\times 3x\times 4+4^2\\\\=(3x-4)^2.[/tex]

Since the area of a square is (length)², so the length of one side of the garden is [tex](3x-4)~\textup{feet}.[/tex]

Thus, (B) is the correct option.

There are 24 children in a class, 16 brown-haired and 8 black-haired. Two students are randomly selected for a stage performance. Find the probability of the following selection. P(2 black haired children)

Answers

The answer is 7/69.

There are 8 black-haired children among 24 children. The probability of randomly selecting black haired children for the first time is:
P1 = 8/24 = 1/3

Now, there are 7 black-haired children left among 23 children. The probability of randomly selecting black haired children for the second time is:
P2 = 7/23

Since we want both of these events to occur together, we will multiply their probabilities:
P = P1 * P2 = 1/3 * 7/23 = 7/69

Given: 2x + 3y = 6.

What is the y-intercept?

(0, 3)
(2, 0)
(0, 2)
no intercept

Answers

(0,2) is the y-intercept

Answer:

(0 , 2) .

Step-by-step explanation:

Given : 2x + 3y = 6.  

To find : What is the y-intercept.

Solution : We have given that 2x + 3y = 6.

y- intercept : Value of y on which x = 0.

Then x = 0

2 (0) + 3y = 6

0 + 3y = 6

On dividing by both side by 3

y = 2.

y - intercept is 2

Then (0 , 2)

Therefore,  (0 , 2) .

For the demand equation, express the total revenue R as a function of the price p per item.
q = −5p + 500
R(p) = ?

Answers

Revenue, R = quantity sold * price

price = p

quantity sold = q = -5p + 500

R(p) = q*p = (-5p + 500) * p = -5p^2 + 500p

Answer: R(p) = -5p^2 + 500p

That is a quadratic function (parabola), which opens downward, so it has a maximum value, which represents the maximum revenue that can be obtained.

That point is the vertex of the parabola. It tells the price and the number of items sold to obtain the greatest revenue. You can obtain the vertex by several ways.

One is finding the roots of the quadratic function; then the vertex is at the middle of the roots.

-5p^2 + 500p = -5p(p-100) => p = 0 and p =100 => vertex is at p = 50 and maximum R = -5(50^2) + 500(50) = 12,500

 
Final answer:

The total revenue (R) can be expressed as a function of the price (p) per item by multiplying the price by the quantity demanded (q). Given the demand equation q = -5p + 500, the total revenue equation is R(p) = -5p^2 + 500p.

Explanation:

The total revenue (R) can be expressed as a function of the price (p) per item by multiplying the price by the quantity demanded (q).

Given the demand equation q = -5p + 500, we can substitute q in the total revenue equation with -5p + 500:

R(p) = p * (-5p + 500)

Simplifying, we distribute p to both terms inside the parenthesis:

R(p) = -5p^2 + 500p

So, the total revenue (R) as a function of price (p) is R(p) = -5p^2 + 500p.

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Which of the following is the solution to the compound inequality below

Answers

I hope this helps you

The answer is, x> -31/15

Convert the radical below into a fractional exponent The square root of 4^3

Answers

when exponents are in fraction form it is always power/root so in this case it would be
root=2 power(exponent)= 3
so you would get 4^3/2

increase 160km by 30%

Answers

There are two ways you could do this:

1. (if you have a calculator) This is called decimal multipliers, and basically all you do is multiply 160 by 1.3 because 1.3 is 1 (160) and 0.3 (30%) so you would get 208.

2. (without a calculator) This is the 'long way'. You do 160 ÷ 10 = 16 = 10%, and then 16 × 3 = 48 = 30%. After this you just add 48 on to 160 to get 208.

Hope this helps!

(11a^3+6)-(-7a^3+7) Solve

Answers

11a^3 + 6 - (-7a^3 + 7)....distribute the - through the parenthesis
11a^3 + 6 + 7a^3 - 7....combine like terms
18a^3 - 1 <===

In a 5 point star, what is the sum of the measure of angles A, B, C, D, and E, if each point of the star represent each angle? ...?

Answers

180 degrees, this is a standard rule of 5 pointed stars

The diagram contains contradictory information. Explain the contradiction.

Answers

The contradiction is that in statements A and B they affirm that the angles DEH and GHJ are consecutive interior angles, while in statements C and D they state that these angles are corresponding angles.

The true is that those angles are corresponding angles.

Additionaly statements C and D are contradictroy to each other, because on says that the sum of the corresponding angles is 180 and the other says that they are congruent.

The rigth statement is D: given that angles DEH and GHJ are corresponding angles, they are congruent  

12 less than the quotient of a number and seven is negative two find the number

Answers

x/7 - 12 = -2
x/7 = -2 + 12
x/7 = 10...multiply both sides by 7
x = 7 * 10
x = 70 <== ur number
12 less than the quotient of a number and seven: x/7 -12
 is negative two: = -2

x/7 -12 = -2
      +12   +12

x/7 = 10

Get x by itself, so: (7) x/7 = 10(7)

x = 70


What is the total area of a covered box with a length of 4 ft, a width of 3 ft, and a height of 6 ft?

Answers

Surface Area=2(4x3)+2(3x6)+2(6x4)

108 ft²

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?
4x < h < 10x
10x < h < 4x
h = 4x
h = 10x

Answers

Since it the measurements of the other sides are already given, the value that we are going to find would be the height. The length of the side of a triangle is greater than the difference of the lengths of the other two sides and less than the sum of the lengths of the other two sides. So given that the two lengths are 3x cm and 7x cm, the height should be more than 4x but less than 10x. Therefore, the answer is the first option: 4x < h < 10x. 

Answer with explanation:

In a triangle sum of two sides , should always be greater than the third side.

Sides of the given triangle are, 3 x cm, 7 x cm and h cm.

1.

3 x + 7 x > h

→ 10 x > h

2.

3 x+ h > 7 x

→h > 7 x -3 x

→h> 4 x

3.

7 x + h > 3 x, which will be always true.

Combining 1, 2 and 3 we get

→4 x < h < 10 x

Option A

Justin is considering two websites for downloading music.The costs are detailed here.

Website 1: a yearly fee of $30 and $1.50 for each download

Website 2: $2 for each download

What is a system of equations to represent the costs for one year?

Express your equations in the form of y=mx+b where x is the number of downloads for the year and y is the total cost for the year.

Enter your equations in the boxes.
Website 1: ____

Website 2: ​____
​

Answers

website 1. y=1.50x+30.
website 2. y=2

What is 12 345 to the nearest thousand

Answers

that would be 12,000. Hope this helps 

To round numbers to the nearest thousand, make the numbers whose last three digits are 001 through 499 into the next lower number that ends in 000. For example, 6424 rounded to the nearest thousand is 6000. Numbers that have the last three digits of 500 or more should be rounded up to the next even thousand. The number 8788 rounded to the nearest thousand is 9000.

So the answer for 12, 345 is 12, 000.

PLEASE MARK BRAINLIEST!!!!!!! Thx

Original price is 45.00 and the markup is 57%

Answers

57 percent of 45 is 25.65.

45 + 25.65 = 70.65

Final price with markup is $70.65
$70.65 cuz 57% of 45 is $25.65 and when u add the $45, since it's a markUP not a markdown you get $70.65

if you were ask to load 225 boxes onto a truck abd the boxes are crated, with each containing nine boxes how many creates would you need to load

Answers

We have 225 boxes. And each crate can handle 9 boxes. 
Let x = the number of crates to be loader.

9x = 255

Divide both sides by 9

x = 25
The answer is 25 crates.    :) Hoped I helped!

Which ratio is proportional to 10/24

A 20/36
B 5/8
C 35/84
D 5/6

Answers

35/84 is equivalent to 10/24 among them.

So, option C is your answer.

Hope this helps!

How many times does 50,000 go into 374,000,000,000?

Answers

So you need to divide 374000000000 by 50,000 and you get 7480000
An easy way to do this problem is to make it smaller by canceling out matching zeros. 3740000/5 = 7,480,000

10 POINTS!!!

Five added to 2 times a number is equal to 7 less than 4 times the number. What is the number?


A.
–3

B.
–6

C.
6

D.
3

Answers

2n + 5 is Five added to 2 times a number 

4n - 7 is 7 less than 4 times the number 

set the expressions equal and solve... 

2n + 5 = 4n - 7 
2n = 12 
n = 6 

The required number is 6.

What is subtraction?

The process of subtracting one number from another is known as subtraction.

Let the number be x.

Given that, 5 added to 2 times the number, x, is equal to 7 less than 4 times the number, which is:

2x + 5 = 4x - 7

2x - 4x = -7 - 5

-2x = -12

x = 12/2

x = 6

Hence, the required number is 6.

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Optimization problem: what are the dimensions of the lightest open-top right circularcylindrical can that will hold a volume of 1000cm3?Compare the result with the result in example 2. ...?

Answers

So Volume of cylinder is pi*r^2*h = 1,000 

Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h 

So now you have 2 equations, so: 

h = 1,000/(pi*r^2) 
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r 

Derivative of SA is then 2pi*r -2,000/r^2. Set to 0 

2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3) 

Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h 
h = 10 / pi^(1/3)
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