a textbook store sold a combined total of 392 biology and psychology textbooks in a week. the number of psychology textbooks sold was 48 less than the number of biology textbooks sold. how many textbooks of each type sold?

The possible values of X are that if n is even X can takes even integers from [-n, n], and if n is odd, X can takes odd integers from [-n, n]

To solve this question, we can use X to represents the difference between the number of heads and the number of tails obtained when a coin is tossed X times, the possible values of X are now obtained below:

Let H be the no. of heads and T be the no. of tails, since the coin is tossed n times, we have:

H+T=n

now, X = H-T ,

X=H-(n-H)

X=2H-n

Now,

H takes values {0,1,2,3 ......,n-2, n-1,n}

2H takes values {0,2,4,6,.....,2n-4,2n-2,2n}

2H - n takes values {-n,-(n-2),-(n-4), -(n-6),.............,n-4, n-2,n}

X takes values {-n,-(n-2), -(n-4),-(n-6),.............,n-4, n-2, n}

therefore, if n is even X can takes even integers from [-n, n]

and, if n is odd, X can takes odd integers from [-n, n]

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The formula for the volume of a sphere is 4/3πr³. The formula for r is d/2. We know d, so we can substitute this for r.

4/3(3.14)(32/2)^3
4/3(3.14)(16)^3
4/3(3.14)4096
4.19(4096
17612.24 cm^3

[tex]\huge\boxed{\sf 17157.28} \\\\\\\displaystyle \sf Converting\ the\ diameter\ to\ radius\\\\r=\frac{d}{2} =\frac{32}{2} =16\\\\Finding\ the\ volume \\\\V=\frac{4}{3} \pi r^{3}=\frac{4}{3} \pi \times 16^{3} \approx 17157.28 \\\\[/tex]

The number of seats in Section A is 26000 ,The number of seats in Section B is 14800 and, The number of seats in Section C is 11200.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

Let the number of seats in Section A is "a".

Let the number of seats in Section B is "b".

and, Let the number of seats in Section C is "c".

Now using the statement "stadium has 52,000 seats"

we can make equation: a + b + c = 52000  

Now using the statement "Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C" and "stadium takes in$1,307,200 from each sold out event".

we can make equation: 28a + 24b + 20c = $1,307,200

Now using the statement "he number of seats in Section A equals the total number of seats in Sections b and C"

we can make equation: a = b + c

Solving these three equations. We get,

a = 26000 , b = 14800 and c = 11200

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Answer: 40

Step-by-step explanation:

A unit rate is the amount of a quantity at the rate of one.

The number of hours per week to earn approximately 190 is

22 hours 45 minutes

A unit rate is the amount of a quantity at the rate of one.

It is written as a ratio with a denominator of one. 

Example:

If 3 miles in 3 minutes then 1 mile in 1 minute.

We have,

The amount earned per hour = 8.35

This can be written as:

1 hour = 8.35

Multiply 190/8.35 on both sides.

190/8.35 x 1 hour = 190/8.35 x 8.35

22.75 hours = 190 ____(1)

1 hour = 60 minutes

0.75 hour = 45 minutes

From (1) we get,

22 hours 45 minutes = 190

Thus,

The number of hours per week to earn approximately 190 is

22 hours 45 minutes.

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The license plate can be made in 1,757,600,000 ways

For the license plate, we need 3 letters out of 26 letters of the English alphabet and 5 digits out of 0-9

For the alphabet:

So, the first letter can be chosen in 26 ways

The second letter can be chosen in 26 ways

The third letter can be chosen in 26 ways

For the digits:

The first number can be chosen in 10 ways

The second number can be chosen in 10 ways

Similarly, the remaining three numbers can be chosen in 10 ways each

So, total ways = 26*26*26*10*10*10*10*10 = 1,757,600,000

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Answer: I think the answer is 6.70$ or 6.66666667

Step-by-step explanation:6.70 x 3 = 20.1

But You Multiply 6.66666667 x 3 = 20

The amount she earned this week is £325

Shirley earns £52 for an 8 hour shift at a call centre.

Therefore,

8 hours = £52

1 hour = ?

cross multiply

1 hour earning = 52 / 8

1 hour earning = £6.5

Therefore,  In one week, Shirley works fifty hours at the call centre. The amount she earns during the week is as follows:

Hence,

amount she earns this week = 6.5 × 50

amount she earns this week = £325

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Answer:

Step-by-step explanation:

Use a distributive property.

Distributive property:

A(B+C)=AB+AC

A(B-C)=AB-AC

First, expand by distributive property from multiply the numbers from left to right.

-9j=-9(j-20)

-9(j-20)

-9*j=-9j

9*20=180

=-9j+180

-9j=-9j+180

Add by 9j from both sides.

-9j+9j=-9j+180+9j

Solve.

0=180

No solution.

Therefore, the correct answer is A. no solution.

I hope this helps, let me know if you have any questions.

The first number in the range of the function is 7

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

The function is given as

f(x) = -2x - 3

Also, we have the domain to be

(-5,-1,3,5)

The first value in this domain is

x = -5

So, we have

f(-5) = -2 x -5 - 3

Evaluate

f(-5) = 7

This represents the first number in the range

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Answer:

3 seconds

Step-by-step explanation:

The height of the rocket when it hits the ground will be zero meters.

Therefore, set the equation to zero and solve for t by using the quadratic formula.

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Given equation:

[tex]-4.9t^2+14t+2.1=0[/tex]

Therefore:

[tex]a=-4.9, \quad b=14, \quad c=2.1[/tex]

Substitute the values into the quadratic formula:

[tex]\implies t=\dfrac{-14 \pm \sqrt{14^2-4(-4.9)(2.1)}}{2(-4.9)}[/tex]

[tex]\implies t=\dfrac{-14 \pm \sqrt{196+41.16}}{-9.8}[/tex]

[tex]\implies t=\dfrac{-14 \pm \sqrt{237.16}}{-9.8}[/tex]

[tex]\implies t=\dfrac{-14 \pm15.4}{-9.8}[/tex]

Therefore:

[tex]\implies t=\dfrac{-14 +15.4}{-9.8}=\dfrac{1.4}{-9.8}=-\dfrac{1}{7}[/tex]

[tex]\implies t=\dfrac{-14-15.4}{-9.8}=\dfrac{-29.4}{-9.8}=3[/tex]

As time is positive, t = 3 s only.

Therefore, it will take 3 seconds for the rocket to hit the ground.

The simplest radical form of the hypotenuse of the given right-angled triangle is therefore discovered to be [tex]6\sqrt{2}[/tex] units.

The Pythagorean Theorem states that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the triangle's legs.

If the number or algebraic expression under the radical has no factors that are perfect nth powers, then the radical is said to be in its simplest radical form.

The given right angled triangle has sides 6 units each.

We need to determine the hypotenuse using the Pythagorean theorem.

Hypotenuse = [tex]\sqrt{(side 1)^{2} + side 2)^{2} }[/tex]

                      [tex]=\sqrt{6^{2} + 6^{2} } \\\\= \sqrt{72}\\ \\= 6\sqrt{2}[/tex]

Therefore, the hypotenuse of the given right angled triangle is found to be [tex]6\sqrt{2}[/tex]  units which is the simplest radical form.

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The solution of the equation 4 = 13 – 3x is x = 3 which is the correct answer would be an option (B).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given an equation as

4 = 13 – 3x

Rearrange the terms non-variables and variables,

3x = 13 - 4

Apply the subtraction operation,

3x = 9

x = 9/3

Apply the division operation, and we get

x = 3

Therefore, the correct answer would be an option (B).

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Answer:

A. 3

Step-by-step explanation:

45 + 15 + 25 = 85

There are 85 flowers.

There are 25 roses, 45 tulips, an 15 roses.

What are all 3 of these divisible by?

5!

That means that there will be 5 bouquets.

Let's divide each number by 5 to find out how many of each type of flower is in each bouquet.

25/5 = 5

5 roses in each bouquet

45/5 = 9

9 tulips in each bouquet

15/5 = 3

3 snapdragons in each bouquet

5 + 9 + 3 = 17

There are a total of 17 flowers in each bouquet.

Out of those 17 flowers, 3 are snapdragons.

A. 3

Answer: 9, 144, 225, 10,000

Step-by-step explanation:

9=3x3

144=12x12

225=15x15

10,000=100x100

Answer:

x = 3

Step-by-step explanation:

[tex]{ \rm{5x + 2 = 7x - 4}}[/tex]

- First, using equality order by collecting like terms of x together and constants together;

[tex]{ \rm{(5x + 2) { \green{- 2}} + = (7x- 4){ \green{ - 2}}}} \\ { \rm{5x = 7x - 6}}[/tex]

[tex]{ \rm{5x - { \blue{7x}} = (7x - 6) - { \blue{7x}}}} \\ { \rm{ - 2x = - 6}}[/tex]

- Using division property of equality, by dividing -2 on both sides;

[tex]{ \rm{ \frac{ - 2x}{ \orange{ - 2}} } = \frac{ - 6}{ \orange{ - 2}} } \\ \\ { \rm{x = 3}}[/tex]

[tex]{ \boxed{ \red{ \delta}}}{ \underline{ \mathfrak{ \: \: creed}}}[/tex]

Answer:

Step-by-step explanation:

What’s x??

Solve for x

5x+2=7x-4

2 + 4 = 7x - 5x

6 = 2x

x = 6 : 2

x = 3

--------------

check

5 * 3 + 2 = 7 * 3 - 4

17 = 17

The graph of the inequality is attached below to represent the solution.

To solve this problem, we can simply plot the graph of the inequality using a graphing calculator. To do this, we can simply input the value of both inequalities and then plot the values.

In the graph below, the the red broken line represents the first equation which is "<" or less than and the second equation which is the straight blue line which represents the ">" or greater than sign.

Kindly find the attached image below.

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price change: 125 - 200 = -75 coins

percent of change = price change/original price *100 = -75/200*100 = -37.5%

that is, a discount of 37.5%

i solved it

you graph it :)

Answer: 3.5 batches is correct.

Step-by-step explanation: Take 28 and divide that by 8 and that equals 3.5

Hope this helps!

The number of batches of cookies that can be made using 28 ounces of chocolate chips is 3.5 batches.

The correct answer option is option a

Equation:

y = 8x

Where,

If there are 28 ounces of chocolate chips:

y = 8x

28 = 8 × x

28 = 8x

x = 28/8

x = 3.5 batches

So therefore, the

So therefore, 3.5 batches of cookies can be made using 28 ounces of chocolate chips.

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The correct description regarding each table is given as follows:

1. Rate of change of 4, linear.

2. Rate of change of -2/3, linear.

3. Rate of change of 1/4, linear.

4. Rate of change of -1, linear.

5. Not linear.

6. Rate of change of 3, linear.

A linear function has the definition presented as follows:

y = mx + b.

In which:

A data-set will only be classified as linear if the rate of change is constant.

Hence the tables in this problem are classified as follows:

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group of friends have $150 to spend on the amusement park admission and parking.

150 - 13.50 = 136.50

136.50 / 22.75 = 6

x = 6

13.50 + 22.75x = 150

13.50 + 22.75(6) = 150

22.75 * 6 = 136.50

136.50 + 13.50 = 150

Answer:

[tex]D=\sqrt{29}[/tex]

Step-by-step explanation:

Answer:

p>-1/3

Step-by-step explanation:

-3p-4<6

+4 +4

-------------

-3p<10

Divide -3 on both sides and you get something like p>-1/3 because you have to flip the sign.

Answer:

Option F

Step-by-step explanation:

According to given information

1) You had F fruits and took 4 pieces out of a bag, it is:

2) Then you have 12 pieces of fruit remained:

This equation matches the answer choice F.

The answer of the given question of radicals is -1.

What is radicals?
A surd or radical is an unresolved root, particularly one that employs the radical symbol. A radical expression is any expression that contains a radical, whether it is a square root, a cube root, or a higher root, while an algebraic expression is any statement that does not contain any transcendental functions or transcendental numbers. The root test is used to determine the radius of convergence of a power series. The nth roots of 1 are known as roots of unity, and they play an important role in many areas of mathematics, including number theory, equation theory, and the Fourier transform.

Given, ∛-1

if we evaluate this radical then,

∛-1 = -1

because 1 perfect cube.

Hence, the answer is option(a) i.e, -1

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We have in total 432 students.

8.

We know that 23% of the students want to be a teacher, this means that:

99 students want to be a teacher.

9.

We know that 13% of the students want to be doctor or nurses, this means that 26% of them want to be one of those, then:

112 students want to be doctor or nurses.

10.

Since 9% of the students want to be lawyers, this means that 91% of them did not want to be lawyers, then:

393 students does not want to be lawyers.

Answer:

393 students do not want to be lawyers.

Step-by-step explanation:

Answer:

A = 15

B = 3

Step-by-step explanation:

Since Team A has 12 more points than team B, then,

A - 12 = B

A = B + 12 ( equation 1 )

team A has 5 times as many points as team B, so,

5B = A. ( equation 2 )

Substitute equation 1 into equation 2

A = B + 12

5B = B + 12

5B - B = 12

4B = 12

B = 3

we'll substitute the answer into equation 2

5B = A

5(3) = A

A = 15

I hope this helps :D

have a nice day dear...