2. Noah said the equation 1. 20(d+5)=42 also represents the situation. Do you agree with Noah? Explain your reasoning ✓ Share with Class​

Answer:

9, after being converted to a mixed number

Step-by-step explanation:

Just divide 27 by 3, it’ll equal 9

yw :)

hope i helped, reach out if it’s wrong (it’s not lol)

Have a great day :3

Answer: 9

Step-by-step explanation:

since fraction means we divide the numerator by denominator, we divide 27 by 3

⇒27/3

⇒27 ÷ 3

⇒9 answer

hope that helps ...

Answer:

triangle) 1/2

Step-by-step explanation:

let me know if this is incorrect

Answer:

At max, Julie can buy 12 pencils. She will have 32 cents left.

Step-by-step explanation:

I did 0.39x10=3.90. Next, I did 0.30x13=5.07. I went down by one and ended up with 0.39x12=4.68.

The expression represents a polynomial with three terms.

A polynomial is an expression consisting of variables (often denoted by x, y, z, etc.) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Polynomials can be used to express a wide range of algebraic equations, from simple linear equations to more complex equations. Polynomials can also be used to construct functions with properties that are useful for solving real-world problems.

The expression represents a polynomial with three terms.

The constant term is -1, and the leading coefficient is 8. The leading term is 8x³.

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2a³b⁻⁴/3a⁵b⁻² =  2/3(ab)²

The exponent of a number shows how many times the number is multiplied by itself.

Example: 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power."

In general, xⁿ means that x is multiplied by itself for n times.

Properties of exponents:

Law of Product: a ^m × a ^n = a ^(m + n)

Law of Quotient: a ^m/a ^n = a ^(m - n)

Law of Negative Exponent: a^-m = 1/a ^m

Law of Power of a Product: (ab)^m = a ^m . b ^m

Law of Power of a Quotient: (a/b) ^m = a ^m/b ^m

Given expression

2a³b⁻⁴/3a⁵b⁻²

= 2/3 . a³/a⁵ . b⁻⁴/b⁻²

Law of Negative Exponent: [tex]a^{-m} = 1/a^{m}[/tex]

= 2/3 . a³/a⁵ . b²/b⁴

Law of Quotient: [tex]a^{m} /a^{n} = a^{m-n}[/tex]

= 2/3 . a³⁻⁵ . b²⁻⁴

= 2/3 . a⁻² .b⁻²

Law of Power of a Product: [tex]a^{m} .b^{m}= (ab)^{m}[/tex]

= 2/3 . (ab)⁻²

Law of Negative Exponent: [tex]a^{-m} = 1/a^{m}[/tex]

= 2/3 . 1/(ab)²

= 2/3(ab)²

Hence the simplified expression of 2a³b⁻⁴/3a⁵b⁻² is  2/3(ab)².

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Answer: This is a geometric sequence and the common ratio is equal to 1/3.

Step-by-step explanation:

The given sequence is a geometric sequence with the common ratio 1/3.

Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.

This ratio is common ratio.

The given sequence is 9, 3, 1, .......

Arithmetic sequence is a sequence where the numbers are arranged in an order such that the difference of two consecutive numbers, called common difference, is a constant.

3 - 9 = -6

1 - 3 = -2

Difference is not constant, so not an arithmetic sequence.

3/9 = 1/3

1/3 = 1/3

Ratio is constant.

So the sequence is geometric sequence.

And the common ratio in the simplest form is 1/3.

Hence the sequence is geometric with common ratio 1/3.

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The distance between town a and b is 175 mi.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given that, a map drawn move to the scale 2 cm : 100 mi. on the map town b is 3.5 centimeters from town a and town c is 2 centimeters past town b

Since, 2 cm = 100 mi

1 cm = 50 mi

Therefore, 3.5 cm = 50×3.5 = 175 mi

Hence, the distance between town a and b is 175 mi.

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Answer:

Least Common Denominator for the following fraction is 2

Hope this helps, have a great day!

Answer:

the answer is 56 (pls think)

Answer:

Expression: 2s + 6

# of Pages Friend Read: 14 pages

Step-by-step explanation:

Let's call the number of pages your sister has read, s, and the number of pages your friend has read, f. We will make our equation first. If your friend has read 6 more than twice as many pages as your sister has, your equation would look like this:

f = 2s + 6

That is your equation for how many pages your friend read, your expression would be just 2s + 6. Now, we will substitute in 4 for s, and we get:

f = 2 * 4 + 6

Multiplying gives:

f = 8 + 6 = 14

So your friend has read 14 pages.

Hope this helped!

Answer:

60%

Step-by-step explanation:

48 + 12 = 60

There is a 60% chance you randomly choose a medium out of 100 customers.

Answer:

D

Step-by-step explanation:

i think you know this already but it's D!

Answer:

x=30m

Step-by-step explanation:

Smaller triangle of sizes 26m and 10m...

using Pythagoras rule...let the middle line that so the triangle be y...

26² = 10²+y²

26²-10²=y²

y²=676-100

y²=576

y=√576

y=24m

the middle line is now 24m

now the larger triangle of sizes 18m, 24m and x...

using Pythagoras rule...

x²=24²+18²

x²=576+324

x²=900

x=√900

x=30m

A linear system has infinite solutions if it consists of exactly the same equations.

The 3  possible solutions of a linear system are:

- Unique or one solution

- Infinite solutions

- No solution

- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

Example:

3x + 2y = -4  ..... (equation 1)

6x = -4y - 8   ..... (equation 2)

Add 4y to both sides of equation 2:

6x + 4y = -8

Divide both sides by 3:

3x + 2y = -4

Hence, equation 2 is exactly the same as equation 1. If we plot their graphs, they will share the same graph. Any solution of equation 1 is also solution of equation 2. Therefore, this linear system has infinite solutions.

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Answer:

the answer to this problem is 165.85.

Step-by-step explanation:

Answer:

315

Step-by-step explanation:

88.2 × 3.5742 = 315.24444

Answer: 315

Answer: He received $3.51 in change.

Step-by-step explanation:

To get the answer we can subtract the amount Felix paid ($20) by the cost of the dinner ($16.49).

It will look like this:

$20.00 - $16.49 = $3.51

Answer:3 dollars and 51 cents

Step-by-step explanation:

If the recycling facility picks up 96 full barrels on each trip then there is 9 days gap between each pickup.

Recycling is the practice of reusing materials in existing products to create new ones. This can be accomplished in expected ways—such as using recycled paper as packaging material—or unexpected ways—such as using recycled glass to make artificial turf. Recycling helps to conserve limited resources, and—its proponents argue—it has other environmental benefits as well.

Since the recycling facility picks up 96 barrels on each trip

and each barrel contains 30 quarts of effluent.

Thus, the total volume of wastewater is 30 x 96, or 2880 quarts.

Each barrel is filled at a rate of 13 quarts per hour.

So 2880 quarts filled in hours.

We can now change 221.54 hours to days.

= 9.23 days

There are so 9 days in between pickups.

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Answer: The teacher's claim is that there will be at least three numbers on the whiteboard whose digits have the same sum, no matter what the students write. To see if this claim is true, we can consider different cases for the number of students in the class.

If there are only two students in the class, the teacher's claim is not true. The two students can write any two different two-digit numbers, and it's not guaranteed that the digits in those numbers will have the same sum.

If there are three students in the class, the teacher's claim is true. The three students can write any three different two-digit numbers, and at least one of those numbers is guaranteed to have digits that have the same sum as one of the other numbers.

If there are more than three students in the class, the teacher's claim is true. No matter what numbers the students write, there will always be at least three numbers whose digits have the same sum.

Therefore, the smallest number of students for the teacher's claim to be true is three students.

It's worth mentioning that the teacher's claim is not necessarily true for all cases, it's only true that any three numbers picked out of the two-digit numbers set, will have digits with the same sum.

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

The linear equation that shows a proportional relationship is y equals two thirds times x.

A proportional relationship is a relationship between two variables in which one variable is a constant multiple of the other. In other words, if y is directly proportional to x, then y = kx for some constant k. This can also be written as y/x = k, where k is the constant of proportionality.

The linear equation that shows a proportional relationship is y = 2/3x.

It shows a direct relationship because the coefficient of x (2/3) is constant, and there is no constant term (y-intercept) which breaks the proportionality.

The other equations do not show a proportional relationship because they have a coefficient that varies with x or a constant term.

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Answer:

The second graph

Step-by-step explanation:

take x = 3 for instance, we can see that on the graph both lines intersect on y = 8

if we try it with our equations:

-2 * 3 + 14 = 8

2 * 3 + 2 = 8

Hope thi helps, please give brainliest thanks

The formula yields the radius $r$ of a circle that is inscribed within three circles with radii $a$, $b$, and $c$ that are mutually external tangents.

[tex][\frac{1}{r} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c}][/tex]

The radius of the inscribed circle is related to the radii of the three mutually externally tangent circles using a method known as the radical centre formula. According to this equation, the reciprocals of the radii of the three externally tangent circles add up to the radius of the circle that is inscribed.

The power of point theorem states that the product of the distance between the point and the three points of tangency is equal to the product of the distance between the point and the centres of the circles. This formula is based on the fact that the circles are mutually externally tangent and their centres are collinear. It is crucial to note that the formula can only be used if the circles are mutually externally tangent; otherwise, it is invalid.

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Answer:

Step-by-step explanation:

Parallel algorithms are not always faster than sequential algorithms. In general, the speed of an algorithm depends on a variety of factors, including the complexity of the algorithm, the hardware it is running on, and the specific problem it is trying to solve.

There are some cases where a parallel algorithm can be faster than a sequential algorithm. For example, if an algorithm can be easily divided into smaller subproblems that can be solved independently and then combined to get the final result, it may be possible to speed up the overall computation by using a parallel algorithm to solve the subproblems in parallel. This can be particularly effective if the subproblems are large and can be solved using multiple processor cores or distributed across multiple computers.

However, there are also cases where a sequential algorithm may be faster than a parallel algorithm. For example, if the problem is relatively small and can be solved efficiently using a single processor, it may not be worth the overhead of dividing the problem into smaller subproblems and coordinating their solution in parallel. In addition, some algorithms may be more difficult to parallelize, or may not lend themselves well to a parallel solution, in which case a sequential algorithm may be a better choice.

Overall, it is important to carefully consider the specific problem and available hardware when deciding whether to use a parallel or sequential algorithm.

Answer:

He is wrong. The right answer is 56.35. Or 56 7/20

Step-by-step explanation:

So lets go over what we know.

The width is 5 3/4ft.

The length is 9 4/5 ft.

The square feet is l*w, otherwise known as area.

So in this, we multiply 5 3/4 by 9 4/5.

Before we multiply however, lets put this into decimal form. Its easier to think of it this way.

3/4, or 3 divided by 4, is 0.75 So 5 3/4 is actually 5.75

4/5, or 4 divided by 5, is 0.80. So 9 4/5 is actually 9.8

Now lets multiply:

5.75*9.8

This might seem a bit confusing, but here is a step by step way of how I multiplied:

5*9 is 45. 5 times 8 is 40. Move the decimal since we used 8 instead of .8 its now:

45 and 4.0

Which is 49.

Now lets multiply 9.8 by the 0.75

3/4ths of 9 is 6.75. 3/4 of 8 is 6. Again, move over the decimal since we used 8 instead of .8 its now:

6.75 and .6

This is 7.35

Add that to 49:

56.35

So this is your answer.

Now, this is not what Mr.Klimek got.

So he is wrong.

The real answer is 56.35

To find the fractional form of this, we can take the decimal 35 and put it over 100:

35/100

Then simplfy. In this case 5 goes into both numbers. So:

7/20

So we have 56 7/20.

Now, the final question, what did Mr.Klimek do wrong?

Well, he added his length and width, instead of multiplying.

We already know what our two numbers equal: 9.8 and 5.75.

Lets add these:

9 plus 5 is 14. 0.8+0.75 is 1.55.

14+1.55=15.55

Using the method of transfering  fractions I spoke of above:

55/100

5 goes into both numbers:

11/20

So adding the lenght and width, we got 15 11/20. This is what Mr.Klimek did.

So to sum up each answer:

Hope this helps! :D

Answer:

#1 multiply

#2 divide

#3 subtract

#4 subtract

#5 divide

Answer:

12

Step-by-step explanation:

3 + 4 + 5 = 12

Lines running horizontally and vertically are parallel. So, angles A, B, and C are right angles by definition of perpendicular lines. All right angles are equal. Therefore, △ABC ~ △DEF by the SAS similarity theorem.

Given that startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half

Step 1: Multiply both sides of the equation by de:

a/b * de = bc/ef * de

Step 2: Simplify the left side of the equation:

ade = bcde

Step 3: Divide both sides of the equation by ad:

a/d = b/e

Step 4: Multiply both sides of the equation by be:

ab/d = be/e

Step 5: Simplify the left side of the equation:

ab = be

Step 6: Divide both sides of the equation by be:

a/b = 1/e

Step 7: Multiply both sides of the equation by ef:

a/b * ef = 1/e * ef

Step 8: Simplify the left side of the equation:

aef = ef

Step 9: Divide both sides of the equation by ef:

a/b = 1/e

Conclusion: startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half

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Answer:

perpendicular

b and e

congruent