A textbook store sold a combined total of 375 chemistry and sociology textbooks in a week. The number of chemistry textbooks sold was two times the number of sociology textbooks sold. How many textbooks of each type were sold?

The salvage value of the PS 5 system after 6 years will be $640.

The formula for the depreciation;

Depreciation per year = (cost of asset - salvage value)/ (useful life of assets)

For the stated question-

12 = (712 - salvage value)/ (6)

salvage value = 712 - 12x6

salvage value = $640.

Thus, the salvage value of the PS 5 system after 6 years will be $640.

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Answer: the answer is 21

Step-by-step explanation:

If one angle measures 170°, and another angle measures (6k + 44)° and both are vertical angles that means the second angle should be the same as the first angle.

Vertical angles are congruent meaning they have an equal measure.

Now we have to find k

(6k + 44) = 170

subtract 44 - 44 and 170 - 44

(6k) = 126

divide 6 by 6, that leaves with just k on the left.

126 divided by 6  equals to 21

k = 21

Hope this helps!

Answer:

q= 1.09

Step-by-step explanation:

the works there its a little messy tho

Answer:

y = 9

Step-by-step explanation:

The line that has a slope of 0: y = 0*x + ?

pass through the point (9,-4): 9 =0*(-4) + ?, we can get 9.

So the answer is y = 9.

Answer: y=0x-4

Step-by-step explanation:

y=mx+b

-4 = (0)(9)+b

b = -4

y = -4

The quadratic equation with the given x-intercepts and that passes through the point (1, 192) is the one in option D.

y = -8x^2 -64x + 264

If a quadratic equation has x-intercepts x₁ and x₂ and a leading coefficient a, we can write the quadratic equation as:

y = a*(x - x₁)*(x - x₂)

Here we know that the x-intercepts are -11 and 3, replacing that in the equation above we will get:

y = a*(x + 11)*(x - 3)

We also know that the line passes through the point (1, 192), replacing the values in the quadratic equation we will get:

192 = a*(1 + 11)*(1 - 3)

192 = a*12*-2

192 = -24*a

192/-24 = a

-8 = a

So the quadratic equation is:

y = -8*(x + 11)*(x - 3)

Expanding this, we will get:

y = -8x^2 -64x + 264

So the correct option is D.

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The total cost of the meal plus tip and tax was more than 122% of the cost of the bill.

What is percent?

A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.

Indigo goes out to lunch.

The bill, before tax and tip, was $10.85.

A sales tax of 3% was added on.

Indigo tipped 18% on the amount after the sales tax was added.

The amount after adding sales tax is,

$10.85 x 3% = 0.3255

⇒ $10.85 + 0.3255 = $11.1755

Now to find the amount after tipped 18% on the amount after the sales tax was added.

$11.1755 x 18% = 2.01159

⇒ $11.1755 + 2.01159 = $13.18709

Hence, the amount  after tipped 18% on the amount after the sales tax was added is $13.18709.

Let x be the percent of more than the cost of the bill of $13.18709.

⇒

[tex]\frac{10.85(x)}{100} = 13.18709\\ x = \frac{100 (13.18709)}{10.85}\\ x = 121.54[/tex]

Hence, the total cost of the meal plus tip and tax was more than 122% of the cost of the bill.

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Answer:

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ΔABC and ΔXYZ are congruent triangles.

Corresponding angles map as per the order of vertices:

The congruent pairs of angles are:

This is matching option C.

The statement which shows that polynomials are closed under addition when two polynomials 4x² - 8x - 7 and -5x + 16 are added include the following: C. 4x² - 13x + 9 will be a polynomial

In Mathematics, a polynomial function can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:

Next, we would add the two (2) given polynomials as follows;

(4x² - 8x - 7) + (-5x + 16)

4x² - 8x - 7 - 5x + 16

Rearranging the given polynomials by combining like terms, we have;

4x² - 8x - 5x + 16 - 7

4x² - 13x + 9

Therefore,  the given polynomials are closed under addition.

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Complete Question:

Which of the following shows that polynomials are closed under addition when two polynomials 4x² - 8x - 7 and -5x + 16 are added?

a. 4x^2 - 13x + 9 may or may not be a polynomial

b. 4x^2 + 13x -23 may or may not be a polynomial

c. 4x^2 -13x + 9 will be a polynomial

d. 4x^2 + 13x - 23 will be a polynomial

The value of m in the equation is 30.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

It is a relationship between two expressions that is expressed as an equality on either side of the equal to sign. An equation would be 3 = 18, for instance.

In this case, the person must pay a $75 one-time fee plus a charge of $30 per month.

This will be illustrated in the equation as:

y = 75 + 30x

where

x = the time in months and

y = the total cost in dollars.

The value of m is 30.

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a. Using the graph, the estimated solution is: (-2, -0.6).

b. Solving algebraically, the exact solution is: (-2, -4/6).

The solution 0f a system of equations is that point of intersection where the lines of the two equations meet when they are plotted on a graph.

a. Given the graph of the equations, 2x - 3y = -2 and x + 1.5y = -3, the estimated solution, which is the point of the intersection of both lines can be, (-2, -0.5)

b. To get the exact solution, we would solve algebraically as shown below:

2x - 3y = -2 --> eqn. 1

x + 1.5y = -3 --> eqn. 2

Rewrite eqn. 2:

x = -3 - 1.5y --> eqn. 3

Substitute the value of x into eqn. 1:

2(-3 - 1.5y) - 3y = -2

-6 - 3y - 3y = -2

-6 - 6y = -2

-6y = -2 + 6

-6y = 4

y = 4/-6

y = -4/6

Substitute the value of y into eqn. 3:

x = -3 - 1.5(-4/6)

x = -3 + 1

x = -2.

The exact solution is (-2, -4/6).

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The graphed two lines will have one solution.

Any line that isn't twisted or bent is said to be straight.

Intersecting lines are two or more lines that have exactly one point in common. The point of junction is this central location that connects all of these lines.

A system of Intersecting Lines will have one unique solution

Lines that are parallel to one another on a plane do not overlap or meet at any point. They are always parallel and equally spaced from one another.

A system of Parallel Lines will have no solution

Here we have

System of equations

Given that the two lines are not parallel line

As we can see that both lines meet at a point

So here we can conclude that both lines are Intersecting Lines

Therefore,

The graphed two lines will have one solution.

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Money market accounts allow for the creation of savings for current or upcoming requirements.

Savings for immediate or future needs can be made in money market accounts. To maintain your emergency savings in a convenient and secure location, for instance, you can think about opening a money market account. You desire to earn an APY similar to CDs without locking up your money for months.

You can get instant access to your money using money market accounts almost whenever you need it. A common feature of MMAs is the availability of check writing and debit card cash access. Also, be aware that you can often withdraw funds without being charged a fee, just like you could with a certificate of deposit (CD).

Therefore, the correct answer is option A. want to make numerous transactions and earn interest.

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Answer:

5/9 In fraction form. In decimal form 0.51 and in percentage form %51

Step-by-step explanation:

To find the ratio of the number of female runners to the total number of runners, we can divide the number of female runners by the total number of runners and express the result as a fraction. There are 25 female runners, and there are a total of 24 men + 25 women = 49 runners. Therefore, the ratio of the number of female runners to the total number of runners is 25/49. This fraction can be reduced to 5/9.

The function g(x) = (x - 5)² has a translation of 5 units to the right.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over x-axis, (-x, y).

-f(x) = Reflection over y-axis, (x, -y).

The parent function is a quadratic f(x) = x².

Now, The transformed function g(x) = (x - 5)² is a horizontal transformation of 5 units to the right.

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The value of a comic book in dollars has been found to be 0.20y + 1.50, where y is the number of years since it was released. is  

(a)  [tex]0.2$[/tex]

(b) [tex]1.5$[/tex]

[tex]0.2 y+1.5 \longleftarrow \text { initial value }[/tex]

[tex]when $y$ increase one. the value increase $\$ 0.2$[/tex]

Travelling to movies and television programmes. An element of a comic book being in a popular film or television programme is a major factor in its value rising. Characters' comic book appearances have become far more valuable as they are integrated into the Marvel Cinematic Universe.

Marvel's first comic book just sold for $1.26m. Movies have contributed to the enduring popularity of superheroes, bringing in new audiences. The printed comic is still big business, worth over $1bn in North America alone.

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The time for each of them to cover 1 mile is; Evian = 10 min, Toby = 9 min and Jillian = 12 min. The fastest is Toby and No, Jillian can't make the team.

A unit rate means a rate for one of something.

Given that, Students at Polk Middle School are given a fitness test.

The fitness test result is;

Evian can run [tex]1\frac{1}{2}[/tex] miles in 15 minutes, Toby can run 2/3 miles in 6 minutes and Jillian can run 3/4 miles in 9 minutes

a) The rate of running in 1 mile = (total miles covered)/(total time taken)

Evian =

3/2 miles in 15 minutes

1 mile = 15x2/3

1 mile = 10 minutes

Toby =

2/3 mile in 6 minutes

1 mile = 6x3/2

1 mile = 9 minutes

Jillian =

3/4 miles in 9 minutes

1 mile = 9x4/3

1 mile = 12 minutes.

b) Since, Toby is covering 1 mile in the least minutes in comparison with other two, therefore Toby is fastest among them.

c) Jillian's rate = 1 mile in 12 minutes

Speed = 1/9 miles per minute

Therefore, she will cover 7/2 miles in = 12x7/2 = 42 minutes

That means, she can't make the team.

Hence, the answers are a) Evian = 10 min, b) Toby = 9 min and Jillian = 12 min, the fastest one is Toby and Jillian can't make the team.

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Answer:

-m + 13

Step-by-step explanation:

The equation obtained from the expressions of the cost of using the daily and annual pass indicates that the least number of times to visit the zoo to make the annual pass the better deal is 4 times

An equation consists of two mathematical expressions linked with an equals to '=' sign.

The cost of the annual pass to the local zoo = $40.00

The daily pass to the zoo = $12.00

The least number of times to visit the annual pass to make it a better deal

Let x represent the number of times of visiting the zoo, at the first visit, we get;

Cost of visiting the zoo using the annual pass = $40.00

Cost of visiting the zoo using the daily pass = $12 ×1 = $12

Therefore, at the very first visit, it cost more using the annual pass to visit the zoo

When the cost of visiting the zoo is the same using the annual and the daily pass, we get;

Where x = The number of days of visiting the zoo

Therefore;

x = 40.00 ÷ 12.00 = 3.[tex]\overline{3}[/tex]

Therefore, after the third visit, or on the fourth visit, it becomes the better deal to make use of the annual pass.

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The relation (10, 8), (7, 9), (9, 13), (8, 5) is representing a function. (option B)

A function defines relations between input and output, where all input has a distinct output.

Given are the relations,

A) (14, 12), (10, 12), (-13, 7), (11, 15)

In this, two inputs 14 and 10 have same output 12, so it can not be a function.

B) (10, 8), (7, 9), (9, 13), (8,5)

In this, we can see, every input have distinct outputs, so it can be considered as a function.

Hence, (10, 8), (7, 9), (9, 13), (8,5) is a function.

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Answer:

The last answer is correct

Step-by-step explanation:

3x = 24  Divide both sides by 3

x = 8

A pair of shoes cost $8

The scale factor from B to A is 5/8. Since the scale-up and scale-down of A and B are reciprocal to each other. I.e, scaling of geometry can be reversed by the reciprocal of its scale factor.

The scale factor for the given shape to transform from A to B is 8/5.

So, the original shape is A and it is scaled up by the factor 8/5 and named B.

(Scaled up since scale factor (8/5 = 1.6) > 1)

So, the scaling from B to A is the reverse process of scale-up. That means scale-down. For this, the scale factor is reduced by taking its reciprocal. So, that the shape gets reversed.

The scale factor for scaling down from B to A is 1/(8/5) ⇒ 5/8.

Therefore, the scale factor from B to A is 5/8.

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Answer:

22

Step-by-step explanation:

Y is midpoint of WR.

Hence,

YR = 1÷2 of WR ( Half of WR )

So,

WR = 2YR

= 2×11

= 22

Answer:

The perimeter is approximately 6.40.

Step-by-step explanation:

To find the perimeter of a triangle with vertices X (1, 3), Y (-4, -1), and Z (4, -1), we can first find the distance between each pair of points using the distance formula.The distance between points X and Y is:

$d(X,Y) = \sqrt{((1 - (-4))^2 + (3 - (-1))^2)} = \sqrt{25 + 16} = \sqrt{41}$

The distance between points Y and Z is:$d(Y,Z) =

\sqrt{((-4 - 4)^2 + ((-1) - (-1))^2)} = \sqrt{0 + 0} = 0$

The distance between points X and Z is:

$d(X,Z) = \sqrt{((1 - 4)^2 + (3 - (-1))^2)} = \sqrt{9 + 16} = \sqrt{25}$

We can then find the perimeter of the triangle by adding up the lengths of the sides. In this case, the perimeter is $d(X,Y) + d(Y,Z) + d(X,Z) = \sqrt{41} + 0 + \sqrt{25} = \sqrt{41} + \sqrt{25} = 6.40\ldots$.

Rounded to two decimal places, the perimeter is approximately 6.40.

The equation of the line, in slope-intercept form,  that passes through the given points, (6,-4) and (6,5) is: x = 6.

An vertical line can be written in slope-intercept form as x = a, because the line has no y-intercept and the change in x values in the slope formula is equal to zero.

The value of a in the equation is the point on the x-axis where the vertical line intercept, irrespective of the change in y-values up the line.

Given the line goes through the points, (6, -4) and (6, 5), it means the line is a horizontal line because they both have the same x-value, 6.

Therefore, the value of a is 6. The equation of the line would be x = 6.

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Answer: 27, 65, 29, 77, 37

Step-by-step explanation:

The number of diagonals of an [tex]n[/tex]-gon is [tex]\frac{n(n-3)}{2}[/tex].

The number of apothems of an [tex]n[/tex]-gon is [tex]n[/tex].

Answer:

Step-by-step explanation:

The points where the inequality x+ 5y <-30 intercepts is ( 30, 0 ) and (0,6).

Here given the inequality.

x + 5y ≤ 30

To find the x-intercepts.

We have to substitute 0 for y and solve x to determine the x-intercepts.

x + 5 × 0 = 30

By solving the equation.

x = 30

( 30, 0 ) is the x-intercepts.

To find the y-intercepts.

By substituting 0 for x and solving y will get the y-intercept(s).

0 + 5y = 30

5y =30

y = 30/5

y = 6

In the point form, y-intercept.

Y-intercept(s): ( 0, 6 )

(30, 0) is the x-intercept.

Y-intercepts at : ( 0, 6 ).

The points in which the inequality x+ 5y <-30 intercepts is (30, 0) and (0,6).

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Approximate percent increase in how much the student pays with Optin 2 versus Option is 20%

$540 plus 15% sales tax now.=$515

Pay exactly $120 now and then $58 each month for 9 months=$642

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The probability that we will draw 4 kings from the 52-card deck be 1/270725.

Given, we draw 4 cards from a standard 52-card deck

we have to find the probability that we draw 4 kings

As, we know that the deck of cards contain 4 kings of two red and two black.

we have to choose 4 kings from 4 kings in the deck

Number of ways to choose 4 kings from the deck of cards =  C(4 , 4)

Now, total number of ways in which 4 cards can be chosen be,

C(52 , 4)

So, the probability of drawing 4 kings from the deck of cards be,

P(E) = C(4 , 4)/C(52 , 4)

P(E) = 4×3×2 / 52×51×50×49

P(E) = 1 / 13×17×25×49

P(E) = 1/270725

Hence, the required probability be 1/270725

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Answer:

ede 5 years old er = wife 25 Ed 34