Question 9
The table shows the ingredients needed to make one batch of homemade slime.
Ingredient
Amount (fl oz)
Glue
Liquid Starch
Water
4
Dodi has 2 cups of liquid starch and will use the entire amount. She plans to store the slime in containers that each hold a maximum of 6 fluid
ounces. How many containers will she need? Write an argument to defend your solution. (Hint: 2 cups = 16 fluid ounces)
Dodi will need
containers.
Dodi has
fluid ounces, of liquid starch, so she will make
batches of slime. Each batch makes 4 x 3, or 12 fluid ounces, so she will make a total of
containers to hold all of the slime.
will need
4
4
+4, or
fluid ounces of slime

Answer:

1000

Step-by-step explanation:

n x 5 = 5000

n = 5000/5

n = 1000

Answer:

(m + 3)/(3 m + 1)

Step-by-step explanation:

\(\frac{2( \frac{m + 1}{m - 1}) - 1 }{2( \frac{m + 1}{m - 1}) + 1}\)

\(\frac{ \frac{2(m + 1)}{(m - 1)} - 1}{ \frac{2(m + 1)}{(m - 1)} + 1}\)

\( \frac{ \frac{2( m+ 1) - (m - 1)}{( m- 1)} }{ \frac{2( m+ 1) + (m - 1)}{( m- 1)}} \)

\( \frac{ \frac{2m+2-m+1}{( m- 1)} }{ \frac{2m+2+m-1}{( m- 1)}} \)

Denominator cancel each other

then

\( \frac{2m+2-m+1}{2m+2+m-1} \)

\( \frac{m+3}{3m+1} \)

The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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Answer:

10

Step-by-step explanation: Because 10x2=20

so in this case if they were to push the tables togther only 1 can sit at one square table if there pushed together

unless each table held 2 people like one on one side and one on the other it would be the same formula because 10 on one side of the tables and 10 on the other side would be 10x2

10+10=20 or 10x2=20

ethier one would be the same

hope this helps you!

Answer:

P = 0.309

Step-by-step explanation:

Using the weighted mean, the coordinates of the point are given as follows:

B. P(-1.6, -0.2).

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

For this problem, the points are given as follows:

The x-coordinate of the mean point is given as follows:

x = (-3 x 4 + 4 x 1)/5 = -1.6.

The y-coordinate of the mean point is given as follows:

y = (4 x -1 + 3 x 1)/5 = -0.2.

The coordinates of the point are given as follows:

B. P(-1.6, -0.2).

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Answer:

I believe it could be 25

Step-by-step explanation:

Eight angle = 90

1. 38 + 27 = 65

2. 90 - 65 = 25

I haven't done angles for a long time, but I hope my memories serves well. Sorry if it may be wrong, but this is what I remember from doing angles in Year 7

Answer:
24 studens

3 students and 1 adult - \( \frac{3}{1}

24 students and x adults - \(\frac{24}{x}

After solving the answer is 8 adults to 24 kids

Step-by-step explanation:

Answer:

18 and 29 are the following terms in the series pattern as a result.

Step-by-step explanation:

The series pattern 1, 3, 4, 7, and 11 is given, and the two next numbers in the series is to be found

Let's find the logic behind the series pattern arrangement

Term one is one, and term two is three.

The third term appears to be the sum of the first and second terms

= 3+4 = 7                                                                                            

The fourth term appears to be the sum of previous two terms

= 4+7 = 11

Accordingly, the following term should be equal to the sum of the two terms before it, which is 7+11 = 18 , using the same pattern.

Similarly Next term is = 11+18 = 29 , using the same pattern.

18 and 29 are the following terms in the series pattern as a result.

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Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

\(P = (7, -\frac{3}{5})\)

Step-by-step explanation:

Given

\(A = (-9,5)\)

\(B = (11,-2)\)

\(m : n = 4 : 1\)

Required

Point P

This is calculated as:

\(P = (\frac{m * x_2 + n * x_1}{m + n}, \frac{m * y_2 + n * y_1}{m + n})\)

So, we have:

\(P = (\frac{4 * 11 + 1 * -9}{4 + 1}, \frac{4 * -2 + 1 * 5}{4+1})\)

\(P = (\frac{35}{5}, \frac{-3}{5})\)

\(P = (7, -\frac{3}{5})\)

An estimaor is C. a statistic that is used to ''guess'' the value of a parameter

A statistic (that is, a function of data) used to infer the value of an unknown parameter in a statistical model is referred to as a "estimator" or "point estimate." "The estimator is the approach chosen to obtain an estimate of an unknown parameter," as one popular way of putting it.

In mathematics, a parameter is a variable whose range of possible values indicates a group of unique cases in a problem. A parametric equation is one that is represented in terms of parameters.

Therefore, based on the information given, the correct option is C.

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Answer:

depends upon the degree of the angle

Step-by-step explanation:

vertically opposite angles are always equal like

80 = 80 sum is equal to 160 degrees not equal to 90

45 = 45 , sums equal to 90 degrees ,equal to 90

30 = 30 sum is equal to 60 degrees, not equal to 90

so we can say it depends what is the no of degrees if it is  45 only we can say  the vertically opposite angles are  complementary angle

Answer:

The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.

In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:

The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.

The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.

The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.

Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).

Answer: 525

Step-by-step explanation:

3 km =30 hm

35hm*15=525

Answer:

20200

Step-by-step explanation:

As you're in a hurry, I can give it later? xx

The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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Hello there! :)

954 is even

69 is odd

58 is even

41 is odd

486 is even

15.66-4.9=10.76 gallons were used up.

Hope it helps you!

#HaveAnAmazingDay

\(GraceRosalia\)

9514 1404 393

Answer:

  24 liters

Step-by-step explanation:

Let x represent the number of liters of 35% solution required. Then the total quantity of vinegar in the mix is ...

  0.10×6 + 0.35x = 0.30(6+x)

  0.05x = 1.2 . . . . . . . . . . . . . . subtract 0.30x+0.60 from both sides

  x = 24 . . . . . . . . . . . . . . . divide by 0.05

The mixture required 24 liters of the 35% solution.

The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.

Let the amount of money loaned at 9% be x

the amount of money loaned at 11% be y

According to the question,

Total money loaned = 20,500

Thus the equation formed is,

x + y = 20,500 ------ (i)

Simple interest is calculated by

I = P * r * t

where I is the simple interest

r is the rate of interest

t is the time

Thus, the interest on x = 0.09x

the interest on y = 0.11y

Total interest gained = 2,225

Thus the equation formed is,

0.09x + 0.11y = 2225 -------(ii)

Multiply (i) by 0.09

0.09x + 0.09y = 1845

Subtract the above from (ii)

0.02y = 380

y = 19000

x = 1500

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Answer:

81 / 40

Step-by-step explanation:

The Maclaurin expansion of sin x is:

sin x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ⁺¹ / (2n+1)!

sin x = x − x³/3! + x⁵/5! − x⁷/7! + ...

Substituting this into the limit:

lim(x→0) [sin(3x) − 3x + ⁹/₂ x³] / x⁵

lim(x→0) [(3x − (3x)³/3! + (3x)⁵/5! − (3x)⁷/7! + ...) − 3x + ⁹/₂ x³] / x⁵

lim(x→0) [(3x − ⁹/₂ x³ + 3⁵x⁵/5! − 3⁷x⁷/7! + ...) − 3x + ⁹/₂ x³] / x⁵

lim(x→0) (3⁵x⁵/5! − 3⁷x⁷/7! + ...) / x⁵

lim(x→0) (3⁵/5! − 3⁷x²/7! + ...)

3⁵/5!

243 / 120

81 / 40

Answer:bottom line: 13 line on right: 6 1/2 Diagonal line: 13

Part (a)

We have some unknown number x which is a placeholder for a positive whole number (eg: x = 4).

What's happening to x are these two things, in this exact order

We multiply first, then add. The order is important. We're following the order of operations PEMDAS here. If we knew what x was, then we'd go forward in the PEMDAS chain; however, we don't know what x is. So we go backwards in the chain to isolate x. This will undo every operation applied to x.

So,

C = 85x+60

C-60 = 85x

85x = C-60

x = (C-60)/85

In the second step, I subtracted 60 from both sides to undo the "plus 60" operation. Then in the last step, I divided both sides by 85 to undo the multiplication.

===============================================================

Part (b)

How many ski trips can we take if we spend $315? We simply plug in C = 315 into that equation we just found at the end of part (a).

Doing so gets us...

x = (C-60)/85

x = (315-60)/85

x = 255/85

x = 3

We can take 3 ski trips if we spent a total of $315

Repeat the same steps for C = 485

x = (C-60)/85

x = (485-60)/85

x = 425/85

x = 5

We can take 5 ski trips if we spent a total of $485

Note how plugging something like x = 5 into the original equation yields:

C = 85x+60

C = 85*5+60

C = 425+60

C = 485

Showing that x = 5 leads to C = 485. This helps confirm the second answer. I'll let you check the first answer.

Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

<95141404393>

Answer:

c. Cluster sampling

Step-by-step explanation:

Taking into account that the exercise researcher is looking with limited resources to study a population that is divided, her best option is cluster sampling, which is a method applicable to this type of population, we could select in each group randomly her sample, the observational study is discarded because she does not have much availability of time or resources, nor would the stratified study be useful because she should select subgroups and create them to take samples and this would take more time and resources and sampling systematic is not adequate because it must have all the individuals and after having the list select the sample, but as we know, it is a process that will study the number of individuals so this option is not feasible.

Answer:

Cluster sampling

Step-by-step explanation:

Cluster sampling is almost always more economical or more practical than stratified sampling or simple random sampling as it reduces costs by increasing sampling efficiency. Due to the fact that she has limited resources, this method is better to observe clusters of units in a population than randomly selected distributed in the local nature preserve and this method is more economical and quick.

A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.

In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.

A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.

Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.

Option A: 200 respondents

This represents only 1% of the population.

While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.

Option B: 20 respondents

This represents only 0.1% of the population.

With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.

Option C: 2000 respondents

This represents 10% of the population.

While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.

The study may provide reasonably reliable results, but there is room for potential sampling error.

Option D: 2 respondents

This represents an extremely small sample size, accounting for only 0.01% of the population.

With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.

Based on the options provided, option C with 2000 respondents would be the most reliable study.

Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.

However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.

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Answer:

2*6*3

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

base 1 = 11 cm

base 2 = 6 cm

height = 8 cm

the formula is \(\frac{base 1 + base 2}{2}\) x height

so \(\frac{11 + 6}{2}\) x 8

which is 68

Answer:

• 68 cm ^2

Step-by-step explanation:

Here,

\(h = 8\)

\(b1= 6\)

\(b2 = 11\)

Area= 1/2*h*(b1+b2)

\( \cfrac{1}{2} \times 8 \times (6 + 11)\)

\(4 \times 17\)

\( = 68 {cm}^{2} \)

hope it helps!!!