If angle PQR and angle RQS form a linear pair and angle PQR =5x+5 and angle RQS =11x-65 then angle PQR=?

Answer:

150 sheets is the better buy.

Step-by-step explanation:

Cost of each sheet when buying 100 = $2.50 / 100 = $0.0250'

If you buy 150 cost per sheet =  $3.50 / 150 = $0.0233.....

So buying 150 sheets is the better buy.

Final answer:

After calculating the unit price for both options, the 150 sheets at $3.50 offer a lower unit price of approximately $0.0233 per sheet compared to $0.025 per sheet for 100 sheets at $2.50, making it the better buy.

Explanation:

To determine which is a better buy between 100 sheets of binder paper at $2.50 and 150 sheets at $3.50, we need to calculate the unit price for each option.

Comparing the two unit prices, the 150 sheets at $3.50 offer a lower unit price and thus represent a better value for your money.

Answer:

504 m²

Step-by-step explanation:

21 m * 24 m = 504 m²

So, the answer is 504 m²

The formula for the area of a rectangle is:

Length × Width

OR

L ×  W

In this case...

L = 24 m

W = 21

^^^Plug these numbers into the formula for the area of a rectangle

24 ×  21

504

The area of this class room is 504 [tex]m^{2}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Unit 4(circles) Lesson 2 (chords and arcs)

Step-by-step explanation:

1. The circles are congruent. Which conclusion can you draw?
answer: <AEB=<QUR

2. JG is the diameter of M. Which conclusion cannot be drawn from the diagram?
answer: KN=NI
3. For the following question, what is the value of x to the nearest tenth?
answer: 6.6

4. For the following question, what is the value of x to the nearest tenth?
answer: 11.5

5. If <AFB=<DFE what must be true
answer: AB=DE
hope this helpppss

The value of x to the nearest tenth by the Pythagoras theorem is 6.57.

It is given that

Length of the chord = 11

Distance of chord from the center of the circle = 3.6

As we know that perpendicular drawn from the center of a circle to its chord bisects the chord.

Using Pythagoras theorem

The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

[tex]x^{2} = 3.6^{2} + (11/2)^{2}[/tex]

[tex]x^{2} = 12.96 + 30.25\\\\x^{2} = 43.21\\\\x = 6.57[/tex]

Therefore, the value of x to the nearest tenth is 6.57.

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Answer:

90 because it’s a right angle and a right angle it 90 degrees

The two angles make up a right angle.

This means the two angles are complementary and need to equal 90 degrees.

X = 90 - 55.1 = 34.9

Answer:

B: 25%

Step-by-step explanation:

$90.00 - $67.50 = $22.5

$22.5 / $90 = 0.25 = 25%

Answer:

B: 25%

Answer:

25%

Step-by-step explanation:

Answer:

294

Step-by-step explanation:

so three family's and 14$ a day so

14*3=42

then take 42 and times it by how many days so 7

so 42*7=294

Answer:

The answer is d

Step-by-step explanation:

The probability that the first egg randomly selected will be white is 15/25, the correct option is D.

The chance that something will happen.

On Friday the farmer's hens laid 25 eggs.

There were 15 white eggs and 10 brown eggs.

The probability that the first egg randomly selected will be white is;

[tex]\rm Probability=\dfrac{White \ egg}{White \ egg + Brown \ egg}[/tex]

Substitute all the values in the formula

[tex]\rm Probability=\dfrac{White \ egg}{White \ egg + Brown \ egg}\\\\ Probability=\dfrac{15}{15+10}\\\\ Probability=\dfrac{15}{25}[/tex]

Hence, the probability that the first egg randomly selected will be white is 15/25, the correct option is D.

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Use substitution method

3a+9=54

3a+9-9=54-9

3a= 45

divide by 3

3a/3= 45/3

a= 15

Answer is a= 15

Answer:

a = 15

Step-by-step explanation:

3a + b = 54

3a + 9 = 54

3a + 9 - 9 = 54 - 9

3a = 45

3a divided by 3 = 45 divided by 3

a = 15

3 x 15 + 9 = 54

45 + 9 = 54

54 = 54

Answer:

THE ANSWER IS C.435

Step-by-step explanation:

Answer:

The correct answer would be option C, $435

Explanation:

In real financial banking transactions, Debits are basically the withdrawals and credits are deposits.  

Because the problem states that there was an over withdrawal on Thursday but not on Saturday, this means that the ending balance on Thursday was a negative balance. On Saturday, the remaining balance was a positive balance. 500 and 480 as a beginning balance doesn't give a negative balance on Thursday. 400 as a beginning balance gives a negative balance on Thursday as well as Saturday.

                    Debit    Credit    Balance

Sunday                                      435

Monday        158                        277

Tuesday        69          44           252

Wednesday  175                           77

Thursday       131         38             -16

                      25                          -41 Overdraft fee

Friday                          53              12

Saturday         22         14               4

So the correct answer is option C, $435

Answer:

-8

Step-by-step explanation:

When you factor, you just find two numbers that add to be the first number (16) and multiply to be the second number (64). 8 and 8 both do this. So when we factor, we also add the variable into each equation because it also has been divided into two equations, and we get: (p + 8)(p +8). Notice that the equations are "+8" and not "-8" because two +8s add to give us a +16 and multiply to give us a +64. After that, we just solve the two equations to find the solutions. Subtract 8 from each equation (we do the opposite operation because 8 is positive) to get -8. Because the answer for each equation is the same our answer is -8.

Answer:

That factors into:

(p +8) * (p +8) =0

Therefore, p = -8 and p = -8

Step-by-step explanation:

Answer: the median is 9

Step-by-step explanation:

Because we have to find but the in in the middle

Answer: 6

Step-by-step explanation: list numbers in normal order and go through to find middle

Answer:

B: 6x

Step-by-step explanation:

e^ln(6x) = 6x . . . . . . . . comes from the definition of the logarithm function

___

q = ln(p) is the value that makes e^q = p. That is, e^ln(p) = p.

In this problem, p=6x.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]3x+5y\leq 9[/tex] ----> inequality A

The solution of the inequality A is the shaded area below the solid line [tex]3x+5y=9[/tex]

[tex]2x+y\geq 5[/tex] -----> inequality B

The solution of the inequality B is the shaded area above the solid line [tex]2x+y=5[/tex]

Using a graphing tool

The solution of the system of inequalities is the shaded area indicated in the attached figure

Since

[tex]\csc(x)=\dfrac{1}{\sin(x)}[/tex]

we have

[tex]\csc(x)\sin(x)+\tan(x) = \dfrac{1}{\sin(x)}\cdot \sin(x)+\tan(x)=1+\tan(x)[/tex]

And since

[tex]\tan(x)=\dfrac{8}{15}[/tex]

we have

[tex]1+\tan(x) = 1-\dfrac{8}{15}=\dfrac{15}{15}-\dfrac{8}{15}=\dfrac{7}{15}[/tex]

The value of cscθ sinθ + tan θ is 7/15.

cscθ is the reciprocal of sinθ.

The expression is given by cscθ sinθ + tan θ.

We can simplify this expression before solving it.

Let the expression be y = cscθ sinθ + tan θ.

cscθ = 1/sinθ

y = sinθ * 1/sinθ + tan θ

y = 1 + tan θ

The value of tan θ is given as -8/15.

We can substitute this above:

y = 1 + tan θ

= 1 - 8/15

= (15-8)/15

= 7/15

The value of the expression cscθ sinθ+ tan θ is found to be 7/15.

Therefore, the value of cscθ sinθ + tan θ is 7/15.

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Answer:

A. 10%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

The new number is the increased wage, $8.25, and the old number is the original wage, $7.50.

percent change = ($8.25 - $7.50)/($7.50) * 100%

percent change = ($0.75)/($7.50) * 100%

percent change = 0.1 * 100%

percent change = 10%

Since the percent change is a positive number, it is a percent increase.

The percent increase was 10%.

Answer: A. 10%

Answer:

The population density of Shanghai is 2.98 times greater than the population density of Beijing

Step-by-step explanation:

we know that

To find the population density, divide the total number of people by the area

step 1

Find the population density of Beijing

[tex]\frac{20,700,000}{16,400}=1,262.2\frac{people}{km^{2}}[/tex]

step 2

Find the population density of Shanghai

[tex]\frac{23,700,000}{6,300}=3,761.9\frac{people}{km^{2}}[/tex]

step 3

Divide the population density of Shanghai by the population density of Beijing

[tex]3,761.9/1,262.2=2.98[/tex]

therefore

The population density of Shanghai is 2.98 times greater than the population density of Beijing

Answer:

(2u + 1)(u – 3) = 0 is equivalent to the given equation

For the second part of the question, the solutions to the equation are C and D, 7π/6 +2kπ and 11π/6 + 2kπ

Step-by-step explanation:

Answer:

A. [tex]x=6[/tex] or [tex]x=1[/tex]

Step-by-step explanation:

The given function is:

[tex]y=x^2-7x+6[/tex]

When y=0; we have:

[tex]x^2-7x+6=0[/tex]

[tex]x^2-6x-x+6=0[/tex]

Factor by grouping:

[tex]x(x-6)-1(x-6)=0[/tex]

[tex](x-6)(x-1)=0[/tex]

Either [tex](x-6)=0[/tex] or [tex](x-1)=0[/tex]

Either [tex]x=6[/tex] or [tex]x=1[/tex]

Answer:

21

Step-by-step explanation:

Since B is between A and C, we can simply add 8 and 13 to get the length of AC becauswe B is on line AC. This gives us 8+13 or 21 as the distance between A and C.

A and C is 6 because 2 sides have to be bigger than the other

Answer:

A set of parametric equations for the line y = 4x - 5 is;

x = t

y = 4t - 5

Step-by-step explanation:

To find a set of parametric equations for the line y = 4x - 5;

We can assign either variable x or y equal to the parameter t, in this case we can easily let x = t

We then substitute x = t in the original equation;

y = 4t - 5

Therefore, a set of parametric equations for the line y = 4x - 5 is;

x = t

y = 4t - 5

For this case we have by definition that if two lines are parallel, then their slopes are equal.

We have the following line:

[tex]-2x + 4y = 8[/tex]

Manipulating algebraically we have:

[tex]4y = 8 + 2x[/tex]

[tex]y = \frac {2x} {4} + \frac {8} {4}\\y = \frac {1} {2} x + 2[/tex]

Thus, the slope is [tex]m = \frac {1} {2}[/tex]

Then, a parallel line will be of the form:

[tex]y = \frac {1} {2} x + b[/tex]

We find the cut point "b" replacing the point:

[tex]-1 = \frac {1} {2} (- 5) + b\\-1 = - \frac {5} {2} + b\\b = -1 + \frac {5} {2}\\b = \frac {-2 + 5} {2}\\b = \frac {3} {2}[/tex]

Finally, the line is:

[tex]y = \frac {1} {2} x + \frac {3} {2}[/tex]

ANswer:

Option A

The lowest proportion would be 1 yard at .65¢

We can get this by dividing $3.90 by 6, since we divided 6 by 6 to get 1.

Answer:

any option which has 0.65 as a unit rate

Step-by-step explanation:

since 3.90/6=0.65

divide the $ by the amount of fabric and you should get 0.65, if u get 0.65 thats ur answer

hope this helps!

Step-by-step explanation:

i) An intersecting system of linear equations

A system of linear equations comprises of two or more linear equations. Linear equations are simply straight line equations with a given slope and a unique y-intercept .

Solutions to systems of linear equations can be determined using a number of techniques among them being;

Elimination method

Substitution method

Graphical method

The graphs of a system of linear equations will intersect at a unique single point if the lines are not parallel.

An example of intersecting system of linear equations;

y = 2x -5 and y =5x + 4

The two lines will intersect at a particular single point since the slopes are not identical. The attachment below demonstrates this aspect.

ii) A parallel system of linear equations

Two lines are said to be parallel if they have an identical slope but unique y-intercepts. Parallel lines never intersect at any given point since the perpendicular distance between them is always constant.

Thus a parallel system of linear equations has no solution. An example of parallel system of linear equations;

y = 3x - 4 and y = 3x + 8

The attachment below demonstrates this aspect.

iii) A coincident system of linear equations

A system of linear equations is said to be coincident if the two straight lines are identical. That is the lines have an identical slope and y-intercept. Basically, we are just looking at the same line. Two parallel lines can also intersect if they are coincident, which means they are the same line and they intersect at every point.

Therefore, this system of linear equations will have an infinite number of solutions.

Answer:

17 1

3

Step-by-step explanation:

= 675+ 3 x = 53

100 8 4

------------------------- × 1000

6,750+ 375x = 13,250

375x = 6,500

x = 6,500 = 260 = 52 = 17 1

375 15 3 3

Answer:

One solution graph is when the graphs of the equations intersect, then there is one solution that is true for both equations.  

One solution = lines intersect

No solution graph is when the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

No solution: lines are parallel

Infinitive solution graph is when the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Infinitive solutions: One line

Answer:

(- 5, 4)

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y) → (y, x)

Hence

G(4, - 5) → G'(- 5, 4)

If the vertex G is reflected across the line y= x, the resulting coordinate will be (-5, 4)

Reflection creates a mirror image of each other. If the coordinate (x, y) are reflected across the line y = x, the resulting coordinate is (y, x)

Given the coordinate G(4, -5). If the vertex G is reflected across the line y= x, the resulting coordinate will be:

G(4, -5) = G'(-5, 4)

Note that the coordinate points are only interrchanged

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Answer:

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

Step-by-step explanation:

The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.

It can be written as:

a(b+c) = ab + ac

or

a(b-c) = ab - ac

So, for the given question,

=>5(2x-1) = 5(2x) - 5(1)

Answer:

5(2x)+5(-1)

Step-by-step explanation: You need to distribute the numbers from left to right. : 5x2+5x-1

B) supplementary are two angles that add up to 180.

124+56= 180

Answer:

The best prediction for the number of questions that Amit will answer correctly is 5.

Step-by-step explanation:

Each question can be considered as an independent Bernoulli trial. This implies that we have 20 independent trials.

Now, the probability of making a correct guess on each question is;

1/4. This is because we have 4 choices per question and only 1 is correct.

If we now let the random variable X denote the number of questions that Amit will answer correctly, then X is a Binomial random variable with parameters;

20 and 1/4.

The expected number of correct answers is simply the product of these two values;

20 * (1/4) = 5

Therefore, the best prediction for the number of questions that Amit will answer correctly is 5