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Based on the given data, we can Reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

Based on the given data, we can make the following inferences:

b. Most knitters use some kind of specialty yarn:

Since the total number of knitters surveyed is 100, and each knitter was asked about their preference for specialty yarn, we can infer that most knitters (if not all) use some kind of specialty yarn. This is because all the surveyed knitters were specifically asked about their preference for specialty yarn, indicating that specialty yarn is commonly used among knitters.

c. More knitters like boucle yarn than other specialty yarns:

According to the data, 40 knitters preferred boucle yarn, which is more than the number of knitters who preferred any other specialty yarn. Therefore, we can infer that among the surveyed knitters, there is a higher preference for boucle yarn compared to other specialty yarns.

The other statements cannot be reasonably inferred from the given data:

a. The data does not provide information about the number of knitters using sequin yarns compared to fuzzy yarns. We only have information about the preference for boucle, mohair, and metallic yarns.

d. The data does not provide information about the preference of 500 knitters or the comparison of boucle yarn to other specialty yarns among a larger population.

e. The data does not provide information about the preference for metallic yarn compared to plain yarn among the surveyed knitters. The data only includes information about the preference for boucle, mohair, and metallic yarns.

In conclusion, based on the given data, we can reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

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Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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Answer:

a. YES

b. YES

c. NO

d. YES

Step-by-step explanation:

\(\frac{7^6}{7^3}\) simplifies to \(7^3\)

a:

Let's simplify this:

(\(7^9\))(\(\frac{1}{7^6}\))

Now:

\(\frac{7^9}{7^6}\)

Which equals:

\(7^3\)

So, YES

b:

Simplify this one:

\(\frac{1}{7^8} / \frac{1}{7^1^1}\)

Or:

\((\frac{1}{7^8})(7^1^1)\)

Which simplifies to:

\(7^3\)

So, YES

c:

Simplifies to:

\(\frac{7^8}{7^4}\)

Which equals:

\(7^4\)

So, NO

d:

This simplifies to:

\(\frac{1}{7^3} * 7^6\\\\ \frac{7^6}{7^3} \\\\7^3\)

So, YES

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

The distribution of the fruits is given as:

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is:

P = (Apple + Pineapple)/Total

This gives

P = (12 + 21)/(21 + 12 + 18)

Evaluate

P = 0.65

Hence, the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

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The correct option answer is; "Invest all the money you can in the beginning at the highest compounding interest rate possible, and then add money periodically".

Investment is an asset which set for a specific time period with the goal of generating income.

Given that, a statement "When investing in a savings plan, it is better to",

Considering the statement, we can say, that

When investing in a savings plan, it is better to - Invest all the money you can in the beginning at the highest compounding interest rate possible, and then add money periodically.

This is because, compound interest gains interest on interest. So, such compounding accounts are more beneficial than simple interest accounts.

Hence, invest all the money you can in the beginning at the highest compounding interest rate possible, and then add money periodically, is the correct answer.

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Complementary angles have sum 90°

\(\\ \rm\Rrightarrow 5x+7x-6=90\)

\(\\ \rm\Rrightarrow 12x-6=90\)

\(\\ \rm\Rrightarrow 12x=96\)

\(\\ \rm\Rrightarrow x=8\)

Answer:

x = 8

Step-by-step explanation:

Complementary angles are two angles with measures that sum to 90°

Given:

⇒ m∠C + m∠D = 90°

⇒ 5x + 7x - 6 = 90

⇒ 12x - 6 = 90

⇒ 12x = 96

⇒ x = 8

Answer:

Step-by-step explanation:

Typically yes you need to know

Mean

Median

Mode

and Range

Mean = average, add all numbers then divide by how many

Median = midpoint, middle number.  Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers

Mode = numbers that occurs the most in the list of numbers

Range = This is the largest number minus the smallest number.  

Answer:

B(6, 5), C(1, -7)

Step-by-step explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)

Answer:

Number = 34

Step-by-step explanation:

We are looking for our mystery "number". I will call this number N.

We can find out what our equation looks like based on what the question tells us.

"three times a number" is 3N

"added to 2" is + 2

Which so far is 3N + 2

"divided by the number plus 5" is ÷ \({N+5}\)

Combined with the first two parts to give us (3N + 2) ÷ (N + 5)

"the result is eight third" So the above equation is equal to 8/3

Combining all these comments together to get the following equation

(3N + 2) ÷ (N + 5) = 8/3

Rearrange by multiplying both sides of the = by (N+5)

3N + 2 ÷ (N + 5) × (N + 5) = 8/3 × (N + 5)

Simplify

3N + 2 = 8/3 × (N + 5)

3N + 2 = 8N/3 + 40/3

Bring the N numbers to one side and the non N numbers to the other side, by subtracting 2 from both sides of the =

3N + 2 - 2 = 8N/3 + 40/3 - 2

Simplify

3N = 8N/3 + 34/3

and then subtracting 8N/3 from both sides

3N - 8N/3 = 8N/3 - 8N/3 + 34/3

Simplify

1N/3 = 34/3

Simplify for our final answer by multiplying both sides of the = by 3

1N/3 x 3 = 34/3 x 3

N = 34

Many of these steps can be skipped when solving for yourself but I wanted to be thorough

Answer:

answer is 16/3

Step-by-step explanation:

let the number be x

1/4*x=4/3

x=4/3*4/1

x=16/3

now checking the answer .In place of x put 16/3

1/4*16/3

16/12

4/3

hence 16/3 times 1/4 is 4/3

Answer:

Step-by-step explanation:

prism A side area is square of side length

(2x + 3)² = 25x + 25

4x² + 12x + 9 = 25x + 25

4x² - 13x - 16 = 0

x = (13 ±√(13² - 4(4)(-16))) / (2(4))

positive answer is

x = (13 +√425)/8 which is approximately 4.20194...

so side length of B is

4((13 +√425)/8) + 6  which is approximately 22.80776...

Volume is side length cubed

V = (4((13 +√425)/8) + 6)³ which is approximately 11,864.4643...

V = 11,864 units³

Answer:

6.58 has the greatest value

6.362 < 6.5 < 6.537 < 6.58

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

The domain of this graph is

d. real numbers from 0 to 7

Step-by-step explanation:

from the graph you can see that all the possible x values are real numbers from 0 to 7

hope this helps!!

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Thank you, you are very sweet and kind!

Step-by-step explanation:

Have a good day!

Answer:

thx

Step-by-step explanation:

Answer:

C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period.

Step-by-step explanation:

Duran uses cost accounting technique to identify cost per unit for its products. The costing techniques allows us to identify the cost of unit that are not completely finished. It is not necessary that all unit must be completed in order to find out the cost per unit of the product. The process costing is the best method to identify cost per unit for products that are in process.

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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Notice that the graph of the function is a cubic polynomial. Also, the graph is moved one unit upwards, then, the function f(x) is:

now, we can see from the y and x intercepts, that if we evaluate x= 0 and x = 1, we get:

then, applying the inverse function on both sides (we can do this since f(x) is a polynomial function and they always have inverse function), we get the following:

we can see that the first point that is on the graph of the inverse function is (-1,0). Doing the same on the second equation, we get:

thus, the points that lie on the inverse function are (-1,0) and (0,1)

The measure of angle Z1 is equal to 3 times the value of x, and the measure of Angle Z2 is equal to x plus 72.

The measure of angle Z1 is equal to 3 times some value x, and the measure of angle Z2 is equal to the sum of that value x and 72.

To clarify, it seems that we are dealing with two angles, Z1 and Z2, and their measures are expressed in terms of a variable x.

the given information:

- mZ1 = 3x

- mZ2 = x + 72

These equations indicate that the measure of angle Z1 is equal to 3 times the value of x, and the measure of angle Z2 is equal to x plus 72.

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Answer:

9 days  

To solve the equation your would round 63,500 to 63000. Then divide 63000 by 7000 which gives you 9. We round 63500 to 63000 to use compatible numbers

Let's define

b: cost of a bagel

m: cost of a muffin

8 bagels and 6 muffins cost $13.80 means:

8b + 6m = 13.80 (eq. 1)

4 bagels and 12 muffins cost $18.60 means:

4b + 12m = 18.6 (eq. 2)

Multiplying equation 2 by 2, we get:

2(4b + 12m) = 2(18.6)

2(4b) + 2(12m) = 2(18.6)

8b + 24m = 37.2 (eq.3)

Subtracting equation 1 to equation 3:

8b + 24m = 37.2

-

8b + 6m = 13.80

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

18m = 23.4

m = 23.4/18

m = 1.3

Replacing m = 1.3 into equation 1:

8b + 6(1.3) = 13.80

8b + 7.8 = 13.80

8b = 13.8 - 7.8

8b = 6

b = 6/8

b = 0.75

Bagels cost $0.75 and muffins cost $1.3

The time that it will take until Noah and Andre meet is; 2.5 hours

Let t represent the time it would take for Noah and Andre to meet.

Formula to find distance is;

Distance = speed × time

Noah rides at a constant speed of 4 miles per hour. This tells us that the distance that Noah would cover in t hours is expressed as 4t.

Andre rides at a constant speed of 2 miles per hour. This tells us that the distance that Andre would cover in t hours is 2t

Since the total distance is 15 miles, then we can form the equation as;

4t + 2t = 15

6t = 15

t = 15/6

t = 2.5 hours

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The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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Answer:

120 miles

Step-by-step explanation:

9:am is time

12:00 pm is time

Distance, speed, and time are the hints to solving the problem

Plz mark Brainliest

Answer:

Here's a screenshot of the work i've done

Step-by-step explanation:

Your welcome

We can use the logarithmic identity log_a(b) + log_a(c) = log_a(bc) to simplify the left side of the equation:

log_2(x) + log_4(x+1) = log_2(x) + log_2((x+1)^(1/2))

Using the rule log_a(b^c) = c*log_a(b), we can simplify further:

log_2(x) + log_2((x+1)^(1/2)) = log_2(x(x+1)^(1/2))

Now we can rewrite the equation as:

log_2(x(x+1)^(1/2)) = 3

Using the rule log_a(b^c) = c*log_a(b), we can rewrite this as:

x(x+1)^(1/2) = 2^3

Squaring both sides, we get:

x^2 + x - 8 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 1, and c = -8. Plugging in these values, we get:

x = (-1 ± sqrt(1^2 - 4(1)(-8))) / 2(1)

x = (-1 ± sqrt(33)) / 2

x ≈ -2.54 or x ≈ 3.54

However, we must check our solutions to make sure they are valid. Plugging in x = -2.54 to the original equation results in an invalid logarithm, so this solution is extraneous. Plugging in x = 3.54 yields:

log_2(3.54) + log_4(4.54) = 3

0.847 + 0.847 = 3

So x = 3.54 is the valid solution to the equation.