If P and S are rational numbers and R and Q are irrational numbers, which of these statements is true?
A The product of R and Q is always an irrational number.
B The product of P and S is always a rational number.
C The sum of R and Q is always an irrational number.
D The sum of P and Q is always a rational number.

Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75

Answer: The number is 192

Step-by-step explanation:

Answer:

The GCF, or greatest common factor, of 36 and 48 is 12.

Step-by-step explanation:

Answer:

The GCF, or greatest common factor, of 36 and 48 is 12.

Answer is 12.

I hope it's helpful!

The value of tan∠A form the right angled triangle ABC is 1.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:

tan∠A = (tan∠B)⁻¹ = 1

The value of tan∠A form the right angled triangle ABC is 1.

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Answer:

8

Step-by-step explanation:

Answer:

I think Teresa needs 6 tablespoons of butter..

Step-by-step explanation:

Hope this right...but if it's not,im so sorry

Answer:

-69

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

The area of the triangle ABC is 34.2 square centimeters

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

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Answer:

45 inches

Step-by-step explanation:

If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.

Answer:

Step-by-step explanation:

6(k + 2) + 1 = 13 (distribute 6 around the k+2)

6k + 12 + 1 = 13 (add 12 and 1)

6k + 13 = 13 (subtract 13 from both sides)

6k = 0 (divide by 6)

k = 0

Answer:

6( k + 2 ) + 1 = 13

6k + 12 + 1 = 13

6k + 13 = 13

6k = 0

k = 0/6

so it will 0

Answer:

Step-by-step explanation:

[tex]\frac{x+2}{x+10}=\frac{1}{2}\\ \\ 2(x+2)=x+10\\ \\ 2x+4=x+10\\ \\ 2x-x=10-4\\ \\ x=6[/tex]

Answer:

22 bags

Step-by-step explanation:

Multiply 5 1/2 by 4 and you'll get 22

Answer:

22 bags

Step-by-step explanation:

5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4

Using translation concepts, it is found that graph A is equivalent to the graph of g(x)=-f(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The transformation g(x)=-f(x) is a reflection over the x-axis of function f(x), which is given by graph A.

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Answer:

[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]

Alternative method:

[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]

Answer:

thr percent decrease is 15%

Step-by-step explanation:

you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%

Answer:

Step-by-step:

51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)

50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

got it right on ed

My father is 42 years old as obtained from the cubic polynomial's real root.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

let my age be x years.

So, My mother is (x + 25) and my father is (x + 28) years.

∴ {x(x + 25)(x + 28) = 32130.

(x² + 25x)(x + 28) = 32130.

x³ + 53x² + 700x = 32130.

x³ + 53x² + 700x - 32130 = 0.

Now solving this has only one real solution x = 17.

So, My father is (17 + 25) = 42 years old.

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Answer:

B.) 42.9

Step-by-step explanation:

The percent that we are trying to find out is 12/28

I know this because if you add the 12 and 16 which is the total amount of people given then it leaves us with an amount of 28 people. Since we are trying to find the percent of the number of people who like fish we have to divide the total by 12 (the number of people who like fish)

Anyways 12 divided by 28 = 42.857etc.

If we simplify this then that gives us our answer of B.) 42.9

Answer:5w=36

Step-by-step explanation:

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Answer:

To the find slope in slope-intercept form (y=mx+b) you just find the m of the equation for example: y=4x+8 the 4 is the slope since it is replacing the m

To find the slope in two points (x1,y1) (x2,y2) follow this formula

y2-y1/x2-x1

For example: Find the slope of (4,9) and (9,19)

19-9/9-4 Which is 10/5 simplify: 2

The slope is 2

Step-by-step explanation:

Answer:

n=15

Step-by-step explanation:

subtract 8 from both sides to get 3n=45

divide both sides by 3 to solve for n to get n=15

Answer:

n = 15

Step-by-step explanation:

3n + 8 = 53

the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting

3n = 45

next step, we are going to isolate the n by dividing by 3 on both sides of the equation

3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer

Answer: x=6

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

volume = πr²h = π·3²h = 63π

h = 7 cm

The height of the given cylinder is 7 cm. Therefore, option D is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the volume of a cylinder is 63π cm³ and the radius is 3 cm.

We know that, the formula to find the volume of a cylinder is πr²h.

Now, πr²h=63π

π×3²×h=63π

h= 7 cm

Therefore, option D is the correct answer.

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Answer:

si yo lo sé tú también cierto

Answer:

I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee

Step-by-step explanation:

Answer:

a) how many stamps are worth $0.10 and how many are worth $0.20

b) x + y = 15

   .10x + .20y = 2.40

Step-by-step explanation:

Answer:

you said This first is the average, and Abd al-Dahan stressed the job of his party, 09 Jira Tazmalt in Al-Ram, in Dam / Rud, for the first time: The Turbo Foundation organized a trip to Jeddah 64) The Bedouin was cruel to the production of your blood every way

Step-by-step explanation:

thank for the info