Rochelle found the quotient of an integer, x, and 13. Is her quotient a rational number

Answers

Answer 1

It helps, in this case, to ask what exactly a rational number is, and how they come up. The various number systems we work with in math come up in response to different kinds of algebraic problems. The natural numbers (sometimes abbreviated N) are the most basic, and they include all of the "counting numbers" you learn in early gradeschool - 1, 2, 3, 4, etc. - and occasionally 0. If we add or multiply any two natural numbers together, we get another natural number, so we don't need to worry about creating any new numbers when we're just working with those operations. Subtraction poses a few issues, though. If we take an expression like 3 - 4, our answer is going to be outside of N. Rather than throwing our hands up and calling it a day at this point, we create a new set of numbers to deal with this situation.

The integers (abbreviated Z) contain all of the natural numbers, and add negative numbers, too (-1, -2, -3, etc.). Multiplication, addition, and subtraction work fine now, and no matter which integers we use, those operations will always give us back another integer. It's not all perfect, though; division gives us a bit of a hassle now. Expressions like 6/3 are fine, since they just produce another integer (2, in this case), but there's no integer result for something like 2/5 or 3/8, so again, we have to create a new set of numbers to compensate.

That set of numbers is what we refer to as the rational numbers (abbreviated Q), named after the fact that all of them are expressed as ratios. By expanding our number system with these, we gain the ability to express every integer as a rational number by putting it over 1 (6 = 6/1, 5 = 5/1, etc.).

So, getting back to the original question, "is the quotient of an integer x and 13 a rational number?" Yes. The quotient of two integers can always be represented as a rational number.

Related Questions

which of the following represents the factorization of trinomal below

Answers

A is the correct answer.......

Here is the work shown:

x^2-x-20

A is the correct answer because when using the distributive property it is the only example that results in x^2-x-20.

(x+4)(x-5)

x*x=x^2, x*-5=-5x, 4*x=4x, 4*-5=-20. Now combine all alike terms for your final answer. x^2-x-20..

please vote my answer brainliest. thanks!

Divide and give the answer in scientific notation.
8.4 x 10^7
----------------
3 x 10^3

Answers

Salutations!

[tex](8.4 * 10^7)/ (3*10^3)[/tex]

Divide 8.4 by 8

[tex]8.4/3=2.8[/tex]

Now, we have to work out the powers ---

The power have 2 positive signs, but in division we would always subtract.

[tex]10^7^-(^+^3) = 10^{4}[/tex]

Lets form it into standard form ---

[tex]2.8*10^{4}[/tex]

Hope I helped (:

Have a great day!

it should be 2.8 x 10^4 i took ze test

a consumer purchased a computer after a 15% price reduction. if x represents the computer's original price, the reduced price can be represented by

Answers

The answer represented by x X .15

How do I figure this out?

Answers

1/10 is half of 1/5
1/5 × 1/2 = 1/10

3 pieces × 2 = 6 pieces that are 1/10

so, he is using 3 of the 1/5 strips to get a 3/5, 1/5 + 1/5 + 1/5 = 3/5

now, he wants to model the same fraction, but with a different fashion, with a denominator of 10, one-tenth, yet equivalent.

the cheap answer is, multiply top and bottom by 2.

[tex]\bf \cfrac{3}{5}\cdot \cfrac{2}{2}\implies \cfrac{3\cdot 2}{5\cdot 2}\implies \cfrac{6}{10}\qquad thus\\\\ -------------------------------\\\\ \cfrac{1}{10}+\cfrac{1}{10}+\cfrac{1}{10}+\cfrac{1}{10}+\cfrac{1}{10}+\cfrac{1}{10}\implies \cfrac{6}{10}\implies \cfrac{3}{5}[/tex]

Write the rate as a unit rate
A Jockey had 1053 wins in 31 years of riding
The unit rate is win per year

Answers

33.967741935483870967741935483871 just divide the years into the wins and you will have wins per year. This answer has to be rounded but I like to give the entire answer as if you did this yourself
Hope this helps some

I REALLY NEED HELP WITH MY CALC CORRECTIONS. THIS IS THE THIRD TIME IVE POSTED THIS. I NEED HELP ASAP PLS!! I HATE CALC 1

Answers

1. As x approaches 1, f(x) approaches 3-1, that is 2.

If a = 2 and b = 3, f(1) = 2(1)^2 + 3(1) = 5

So there is a 'jump' in values of x at x = 1. So its not continuous at x=1.

2. For continuity at x = 1, ax^2 + bx must = 2 that is when a + b = 2.

3. for continuity at x = 2 , ax^2 + bx must be = 0 that is when a*2^2 + 2b = 0

- that is 4a + 2b = 0.

4. we have system of equations:-

a + b = 2
4a + 2b = 0

this gives a = -2 and b = 4 So f(x) is continuous when a = -2 and b = 4.

Let a and b be events in a sample space s such that p(a) = 0.41, p(b) = 0.46 and p(a ∩
b.= 0.14. find p(a | b).

Answers

B the answer to the problem

Final answer:

The conditional probability that event a will occur given that event b has occurred, denoted as p(a | b), is approximately 0.3 or 30%.

Explanation:

The question is asking for the conditional probability of the event a given that event b has occurred, written as p(a | b). In probability theory, the formula for conditional probability is p(a | b) = p(a ∩ b) / p(b). Here, we already know that p(a ∩ b) = 0.14 and p(b) = 0.46. Substituting these values into the formula gives us:

p(a | b) = 0.14 / 0.46 = 0.304347826.

So, the probability of event a occurring given that event b has occurred is approximately 0.3 or 30%.

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Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. if it is not, enter none. f(x, y) = (yex + sin y) i + (ex + x cos y) j

Answers

The given field is
[tex]f(x,y) = (y \ e^{x} + sin(y) \hat{i} + (e^{x}+x \, cosy) \hat{j}[/tex]

Note that if the field is of the form
[tex]\vec{f} = P\hat{i} + Q\hat{j}[/tex]
then the condition for the field to be conservative is that
[tex] \frac{\partial P}{\partial y} = \frac{\partial Q}{\partial x} [/tex]

For the given field,
[tex] \frac{\partial P}{\partial y} =e^{x} + cos y \\ \frac{\partial Q}{\partial x} = e^{x}+cosy [/tex]

Because the condition is satisfied, the given field is conservative.
To find the function that satisfies
[tex]f= \bigtriangledown f[/tex]

[tex]f(x,y) = \int P(x,y)dx = ye^{x} + x\, siny + g(y)[/tex]
Because [tex] \frac{\partial P}{\partial y} = \frac{\partial Q}{\partial x} [/tex], therefore
[tex] \frac{\partial f}{\partial y} =e^{x} + x \, siny + g'(y)[/tex]
Because [tex] \frac{\partial f}{\partial y} =Q = e^{x} + x \, cosy [/tex]
therefore
g'(y) = 0
g = c (constant).

Answer:
(a) The given function is conservative.
(b) The function is
[tex]f(x,y) = ye^{x} + x \, siny + c[/tex]
where c = constant.

Final answer:

The vector field f(x, y) = (yex + sin y) i + (ex + x cos y) j is conservative because its curl vanishes everywhere. The function F such that ∇F = f is yex + cos y + C.

Explanation:

To determine if the given function f(x, y) = (yex + sin y) i + (ex + x cos y) j is a conservative vector field, we need to see if the curl of the vector field vanishes everywhere. The curl of a vector field in two dimensions is the partial derivative of the j component with respect to x minus the partial derivative of the i component with respect to y.

For f(x, y), the partial derivative of the j component (ex + x cos y) with respect to x is ex + cos y, and the partial derivative of the i component (yex + sin y) with respect to y is ex + cos y. Both derivatives are equal, implying the curl is zero. Hence, f(x, y) is a conservative vector field.

Next, to find a function F such that ∇F = f, we need to integrate. The potential function, F, can be obtained by integrating the i component of f with respect to x (since it does not involve y), and the j component of f with respect to y (since it does not involve x): ∫yex dx + ∫sin y dy = yex + cos y + C. This is the function F such that ∇F = f.

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Makayla's local movie theater has a moviegoer club that charges an annual registration fee of 25 dollars.However, movie tickets are discounted for members at 6 dollars per ticket, instead of 9 dollars per ticket.Let m equal the number of movie tickets Makayla purchases in a year. Write a function to model the amount of money Makayla spent going too the movies during the year she joined the club. C(m)=6x+25 The domain is best represented by: A)integers B)whole numbers C)rational numbers D)real numbers Algebra chestercat

Answers

domain is the value of x, in this case, the number of tickets. you cannot cut a whole ticket into fractions of pieces, it cannot be negative wither, so the number of tickets has to be a whole number.

Sarah polled 40 randomly selected students at her high school and found that 20% ( = 0.2) are happy with the quality of the cafeteria food. With a desired confidence level of 99%, which has a corresponding z*-score of 2.58, what is the approximate margin of error of Sarah’s poll? Remember, the margin of error, E, can be determined using the formula E = z*

Answers

Given:
n = 40, sample size
Confidence level = 99% => z* = 2.58
[tex]\hat{p} = 20\%=0.2[/tex], sample proportion.

By definition, the margin of error is
[tex]z^{*} \sqrt{ \frac{\hat{p}(1-\hat{p})}{n} } = 2.58 \sqrt{ \frac{(0.2)(0.8)}{40} }= 0.1632[/tex]

Answer:
According to Sarah's poll, she can conclude with 99% confidence level that 20% of the high school population is happy with the quality of the cafeteria food, with a margin of error of +/- 16.3%.

A video editor takes 15 hours to add a

Answers

so the Level III editor does it in 15 hours, the Level II(slower) does it in 25 hours and the Level I(even slower), does it in 34 hours.

now, since the Level III one does it in 15 hours, in 1 hour alone, how much has it done? well, it only has done 1/15 of the whole work.

the Level II has 1 hour done only 1/25 of the whole work then, and the Level I has only done 1/34 of the whole work.

now, say they all do it in "t" hours, so how much have they edited in 1 hour altogether then? well, they have only done 1/t.

[tex]\bf \stackrel{\textit{Level III rate}}{\cfrac{1}{15}}+\stackrel{\textit{Level II rate}}{\cfrac{1}{25}}+\stackrel{\textit{Level I rate}}{\cfrac{1}{34}}~~=~~\stackrel{\textit{total work done}}{\cfrac{1}{t}} \\\\\\ \textit{doing a quick prime factoring, we end up with an LCD of }\underline{2550}~thus[/tex]

[tex]\bf \cfrac{1}{15}+\cfrac{1}{25}+\cfrac{1}{34}=\cfrac{1}{t}\implies \cfrac{170~+~102~+~75}{2550}=\cfrac{1}{t}\implies \cfrac{247}{2550}=\cfrac{1}{t} \\\\\\ 247t=2550\implies t=\cfrac{2550}{247}\implies t=10\frac{80}{247}\implies t\approx 10hrs,~19min[/tex]

If rectangle ABCD is resized with a central point (−1, 1) and scale factor 3, what are the coordinates of D'?

A)(−3, 3)B)(−10, −5)C)(−5, −10)D)(−15, −15)

Answers

its B) (-10,-5). I had this test.

What does it mean to say that lim n → ∞ an = ∞? the terms an become small as n becomes large. the terms an approach zero as n becomes large. the terms an become large as n becomes large. the terms an become small as n becomes small. the terms an become large as n becomes small?

Answers

The limit [tex]\lim_{n \to \infty} a_n = \infty[/tex] means that the term [tex]a_n[/tex] becomes large as n becomes large

The limit of a function describes the behavior of such function as the independent variable approaches a certain value

Infinity [tex]\infty[/tex] represents a very large number

In the limit, both n and [tex]a_n[/tex] tend to infinity

The given limit is:

[tex]\lim_{n \to \infty} a_n = \infty[/tex]

The limit above describes the behavior of [tex]a_n[/tex] as n approaches infinity

As n approaches infinity [tex]a_n[/tex] also approaches infinity

Therefore, the description of the limit [tex]\lim_{n \to \infty} a_n = \infty[/tex] is that the term [tex]a_n[/tex] becomes large as n becomes large

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Final answer:

The statement 'lim n → ∞ an = ∞' means that the terms an become large as n becomes large.

Explanation:

The statement lim n → ∞ an = ∞ means that the terms an become large as n becomes large.

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on Monday 2/3 of the team practiced Tuesday 7/8 Wednesday 1/2 and Thursday 3/4 on which date were the most team members present at practice

Answers

On Wednesday because half of the team was there

Find common denominator to compare fractions. Use 24
Monday =2/3 (8/8)=16/24 16 out of 24 showed
Tuesday=7/8 (3/3)=21/24 21 out of 24 showed
Wednesday=1/2 (12/12)=12/24 12 out of 24 showed
Thursday =3/4 (6/6)=18/24 18 out 24 showed

On Tuesday, 21 out of 24 players showed up and that is the most team members showed up.

The perimeter of a college athletic field is 104 meters and the length is 16m more than the width find the length and width

Answers

Attached a solution and showed work.

The length and width of the rectangle will be 19 meters.

What is the perimeter of the rectangle?

The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.

Then the perimeter of the rectangle will be

Perimeter of the rectangle = 2(L + W) units

The perimeter of a college athletic field is 104 meters and the length is 16 meters more than the width.

L = 14 + W

Then the length and width of the rectangle will be

P = 2(L + W)

104 = 2(14 + W + W)

52 = 14 + 2W

2W = 38

W = 19 meters

The length and width of the rectangle will be 19 meters.

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if f'(2) = 3.1 and g'(2)=7.3 then the graph of f(x)+g(x) has slope 10.4 at x=2.True or false

Answers

For functions, its derivative on a certain variable is its slope. This means that the slope of f(2) is 3.1 and that of g(2) is equal to 7.3.

To determine the slope of the f(x) + g(x) in terms of x is equal to,
f'(x) + g'(x)
Then, substitute x with 2,
f'(2) + g'(2)
Substituting the known values,
3.1 + 7.3 = 10.4

Hence, the answer is TRUE.

Final answer:

The statement is true, as the slope of the graph of f(x)+g(x) at x=2 is the sum of the slopes of f and g at that point, which equals 10.4.

Explanation:

The statement is true.

In calculus, the derivative of a function at a particular point measures the rate at which the function is changing at that point. It is analogous to the slope of the tangent line to the graph of the function at that point.

When we are given that f'(2) = 3.1 and g'(2) = 7.3, these values represent the slopes of the functions f and g at x = 2, respectively.

To find the slope of f(x) + g(x) at x = 2, we simply add the slopes of f and g at that point. This is based on the rule that the derivative of the sum of two functions is the sum of their derivatives, or symbolically, (f+g)' = f' + g'.

Therefore, the slope of the graph of f(x)+g(x) at x=2 is indeed 10.4 (3.1 + 7.3).

A family paid 23,100 as a down payment for a home if this represents 14% of the price of the home find the price of the home

Answers

The answer is $42966

What you put on social media matters. Why does it matter and how will you ensure your social media postings reflect you professionally?

Answers

It matters because what you post is a type of reflection on you and if it’s something bad or law worthy you could get into a lot of trouble.. just because you delete something doesn’t mean it’s gone, your future jobs check your social media and anything about you before they hire you.. you ensure what you post reflects you professionally by thinking about it before you post it and if it’s something you don’t want your parents or even police or if you start feeling uncomfortable or iffy about posting don’t post it and you should be fine.

Answer:

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

As a professional what you put on social media matters a lot. Social Media postings show all what you are thinking or doing to hundreds, thousands, or even millions of people. If you are an artist you depend on those people (fans) to continue supporting you and your art so a single wrong post can turn a lot of people against you.

If you work for a company you are not only representing yourself through your posts but the company as well. This is because a company hires you for the person that you are therefore it is seen through the public eye that they share your way of thinking.

The best way for your postings to reflect you professionally, is to post only things relating to your own career and journey. While leaving out any opinions, personal information, and controversial topics.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Jane saved $ 800. Her sister has 10 times as much money. How much money does Jane's sister have? Use number or words to explain your answer.

Answers

10 times ad much money means to multiply. so 800 times 10 is 8,000

A father is three times as old as his son, and the sum of their age is 76 years old. How old is the son?

Answers

Father's age = 3x

Son's age = x

3x + x = 76

4x = 76

x = 76/4

x = 19

The son is 19 yeats old.

Age of son = 19 years

Age of father = 57 years

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

A father is three times as old as his son

Sum of their age is 76 years

Let age of son is x, age of father = 3x

x + 3x = 76

4x = 76

x = 76/4

x = 19

Age of son = 19 years

Age of father = 3×19 = 57 years

Hence, 19 years is the age of son and

57 years is the age of father.

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What is the probability that x is between $34 and $38?

Answers

The probability that ( x) is between $34 and $38 is 0.6826 or 68.26%.

To find the probability that a random variable ( x) is between $34 and $38, we need to use the probability density function (PDF) if ( x) follows a continuous distribution. Let's assume ( x ) follows a normal distribution with a mean [tex]($ \mu $)[/tex] of $36 and a standard deviation [tex]($ \sigma $)[/tex] of $2.

Calculate the z-scores for $34 and $38:

[tex]\[ z_1 = \frac{34 - 36}{2} = -1 \][/tex]

[tex]\[ z_2 = \frac{38 - 36}{2} = 1 \][/tex]

Look up the z-scores in the standard normal distribution table:

[tex]\[ P(z_1 < Z < z_2) = P(-1 < Z < 1) \][/tex]

Find the probabilities corresponding to these z-scores:

[tex]\[ P(Z < 1) = 0.8413 \][/tex]

[tex]\[ P(Z < -1) = 0.1587 \][/tex]

Subtract the two probabilities:

[tex]\[ P(-1 < Z < 1) = P(Z < 1) - P(Z < -1) = 0.8413 - 0.1587 = 0.6826 \][/tex]

So, the probability that ( x) is between $34 and $38 is 0.6826 or 68.26%.

The weight of 1000 identical samples of a substance is 10 pounds. What is the weight of 10 samples?

Answers

Help?? I need that question to but just that the weight instead of being 1000 is 2000

First find the weight of 1 sample. 10/1000= 0.01 so each sample weights .01 pound. So what is the weight of 10 samples. Well we multiply 10 * .01 = .1 pounds

What is the distance between 0.5 to -1.5

Answers

7.07 is the distance between the two points

the difference is one

find the percent of each number 30% of 35

Answers

30% of 35 = 0.3 × 35 = 10.5 hippie this helps you.

2+1.25f=10−2.75f solve for f

Answers

Hey there!

2 + 1.25f = 10 - 2.75f
Add 2.75f to both sides.

1.25f + 2.75f = 4f

4f + 2 = 10
Subtract 2 from both sides.

4f = 8
Divide both sides by 4 to solve for f.

f = 2

I hope this helps!

The value of f is 0.02.

What is an expression ?

Expression is a formation of numbers and variables with mathematical operations.

According to the given question we have to solve for f or we can say we have to find the value of f for the given expression which is

2+1.25f=10−2.75f (lets multiply each term by 100 to remove

decimals )

∴ 200 + 125f = 1000 - 275f

125f + 275f = 1000 - 200

400f = 800

f = 800/400

f = 2.

As we have multiplied by 100 we have to divide by 100 we obtain the exact result.

So, 2/100 is = 0.02

f = 0.02.

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rewrite y^2(9y^2+4y-9) in standard form

Answers

y²(9y² + 4y - 9)

Simplify.

(y² · 9y²) + (y² · 4y) + (y² · -9)

Simplify.

9y⁴ + 4y³ - 9y²

~Hope I helped!~

2/3 x 5/8 in simplest form

Answers

2
3
x5
8
=
1
12
x5
is how its done

5/12 is the answer
hope it helped!

A scientist placed 22.854 grams of sodium chloride in a beaker. He then added five times as much calcium chloride as sodium chloride. Finally, he divided the mixture evenly into four dishes.

How much of the mixture did each dish contain?

A .28.5675 g
B. 34.2810 g
C. 137.1240 g
D. 548.4960 g

Answers

The answer is B. 34.281
22.854 + 5(22.954) = 137.124
137.124 divided by 4 = 34.281 = 34.2810

Prove or disprove that the product of two irrational numbers is irrational

Answers

Hi. The statement you gave is somewhat true, but not always. I disprove this and there are tons of websites that can help you with more in depth explanation. Have a good day.

The product of two irrational numbers can be either rational or irrational.

The product of two irrational numbers is not always irrational. To understand this, let's consider an example and a counterexample.

Example of an Irrational Product

Take the square root of 2 (\/(2)) and the square root of 3 (\/(3)). Both of these numbers are irrational. Their product is:

\/2 × \/3 = \/6

Since \/6 cannot be expressed as a fraction of two integers (making it irrational), this is an example where the product of two irrational numbers is irrational.

Counterexample of a Rational Product

Now, consider another example with \/(2) and \/(2). Since both are irrational, their product is:

\/2 × \/2 = 2

Here, 2 is a rational number because it can be written as a fraction (2/1). Therefore, this is a counterexample where the product of two irrational numbers is rational.

In summary, the product of two irrational numbers can be either rational or irrational depending on the specific numbers involved.

Let f(x) = 3x+2 and g(x) = 7x+6. find f×x

Answers

Its basically telling you to multiply 3x+2 × 7x+6
21x^2+18x+14x+12
21x^2+32x+12

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A researcher wishes to know, with 98% confidence, the percentage of women who wear shoes that are too small for their feet. a previous study conducted by the academy of orthopedic surgeons found that 80% of women wear shoes that are too small for their feet. if the researcher wants her estimate to be within 3% of the true proportion, how large a sample is necessary? Justin, with a mass of 30 g, is going down a 8.0 m high water slide. he starts at rest, and his speed at the bottom is 11 m/s. how much thermal energy is created by friction during his descent The purchase of which territory doubled the size of the United States and provided control of the Mississippi River?the Louisiana Purchasethe Florida Territorythe annexation of the Texas Territorythe Wisconsin Territory Which of the following represents the zeros of the function g(x) = x3 - 9x2 + 2x + 48 ? A. x= -8, x= 2 , and x= -3 B. x = 8, x = -2 , and x = 3 C. x = 6, x = -4 , and x = 9 D. x = -6, x = 4 , and x = -9 Each class at briarwood elementary collected at least 54 cans of food lduring the food drive.If tbere are 29 clases in the school what was the least numbet of cans collected? Find 3 consecutive odd integers whose sum is 117 if STU is similar to XYZ the sides of STU must be congruent to the corresponding sides of XYZ A;true B;false If you put all the flowers together end to end, what would be the total length of all the flowers? Does marijuana have a long term effect or short term effect? Please help! THE CAT AND THE MOON4 QUESTIONS! PLEASE ANSWER ALL How does the physical setting of the story reflect the moral decay of the characters and, indeed, of the whole society presented in this story? Over the last three evenings, Raina received a total of 83 phone calls at the call center . The first evening, she received 7 more calls than the third evening. The second evening, she received 2 times as many calls as the third evening. How many phone calls did she receive each evening ? The ara operon is controlled by a regulator protein that exerts ________. Which situation is the best example of dramatic irony in macbeth What kind of reasoning is found in the just cause principle? What is the layer of the sun through which energy is transferred away from the core by radiation Read this passage: The creek he knew was frozen clear to the bottom, no creek could contain water in that arctic winter, but he knew also that there were springs that bubbled out from the hillsides and ran along under the snow and on top the ice of the creek. He knew that the coldest snaps never froze these springs, and he knew likewise their danger. They were traps. They hid pools of water under the snow that might be three inches deep, or three feet. Sometimes a skin of ice half an inch thick covered them, and in turn was covered by the snow. Sometimes there were alternate layers of water and ice-skin, so that when one broke through he kept on breaking through for a while, sometimes wetting himself to the waist. What can you infer based on this passage from "To Build a Fire"?A. He knew that the springs below the creek never froze. B. He was about to send the dog out over the ice. C. He had heard of people falling through the ice. D. He came upon a creek that was mostly frozen. The volume of a ball was measured at 500.0 cm3, and then mass was measured on this triple beam balance. what would be the most accurate reading for the mass of the ball? g using this mass, what would be the most accurate calculation of density for the ball? g/cm3 **Please check my first 2 answers**8 19A. (8 10) + (8 1)B. (8 20) (8 1) (I choose this)C. (8 20) 1D. (8 10) (8 1)=========2(9 + 3)A. (2 9) (2 3)B. (2 9) + (9 3)C. (2 9) + 3D. (2 9) + (2 3) (I choose this)====================For questions 34, simplify using the Distributive Property.7 48A. (7 50) (7 2) = 350 14 = 336B. (7 40) + 8 = 288C. (7 50) 2 = 348D. (7 40) + (7 x 8) + 7 = 343==============9 81A. (9 80) + 1 = 721B. (9 80) (9 1) 711C. (9 80) + (9 1) =729D. (9 90) (9 x 1) = 801 Complete each sentence below with a or de and the appropriate form of the definite article.Cuando necesito comer voy _____ cafetera.A) a laB) alC) de laD) del Steam Workshop Downloader