find x
(6x+24)° (10x)°

Answer:

4.2553191% decrease

Step-by-step explanation:

To determine the percent change

(Original amount minus new amount)/ original amount

(18.8 - 18)/18.8

.8/18.8

.042553191

Change this to percent form

.042553191 * 100%

4.2553191%

Since the amount goes down, this is a decrease

Answer:

Hi there!

Here is your answer.

-4.2553191489%

Step-by-step explanation:

Percent change = \(\frac{New-Old}{|Old|} \\\)  × 100%

Percent change = \(\frac{18 - 18.8}{|18.8|}\)  × 100% =

\(\frac{-0.8000000000000007}{18.8}\)   × 100 = -4.2553191489%

Answer:

a) 167 cups

b) 4 packages

Step-by-step explanation:

Given:

Diameter, d = 8cm

Height, h = 11 cm

10 gallon container

Since 1 gallon = 3085cm, 10 gallons will be:

= 10 * 3085 = 30850 cm

a) Consider that the shape of the cup is a cone. To determine how many paper cups are needed to empty the entire 10 gallon cooler, let's first find the volume of the cone.

Formula for volume of a cone:

\( V = \frac{1}{3} \pi r^2 h\)

We know radius, r = d/2 = 8/2 = 4cm

Substituting figures in the formula, we have:

\( V = \frac{1}{3} \pi 4^2*11\)

V = 184.31 cm³

The number of paper cups are needed to empty the entire 10 gallon cooler would be:

\( = \frac{30850}{184.31} = 167.38 cups \)

Approximately 167 cups

b) if the cups are sold in packages of 50, the number of packages to be bought will be:

\( = \frac{167}{50} = 3.34 \)

Which is approximately 4 packages

The length and width of the rectangular field is 316 ft and 133 ft respectively.

An algebraic equation is a mathematical statement that equalises two expressions. A variable, coefficients, and constants are common components of an algebraic equation. Also look into Algebraic Expressions. Equality is represented by equations or the equal sign.

It is balanced because both sides are equal in value. To avoid making an error that throws the equation out of balance, ensure that any change on one side is reciprocated on the other.

Given,

perimeter of rectangular field = 898 ft

let width be 'x'

then,

length = x+183

The perimeter of a rectangle is,

\(P = 2(length + width)\\\\898 = 2( ( x + 183 ) + x )\\\\898 = 2(2x+183)\\\\898 = 4x + 366\\\\4x = 898 - 366\\\\4x = 532\\\\x=\frac{532}{4}\\\\x=133\)

Thus, the width is 133 ft and length is (133+183)=316 ft.

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Your question is incomplete, here is the complete question.

A certain field is a rectangle with a perimeter of 898 ft. The length is 183 ft more then the width. Find the width and length of the rectangular field?

The group of friends can consist of at most 9 people, given the budget constraint and pricing can go to the amusement park.

The inequality to determine the number of people who can go to the amusement park can be written as: 38.75p + 16.25 ≤ 365.

Where p represents the number of people and the left-hand side of the inequality represents the total cost of admission and parking for p people.

The inequality is set up such that the total cost cannot exceed the given budget of $365.

To solve this inequality, we can first subtract 16.25 from both sides: 38.75p ≤ 348.75. Then, divide both sides by 38.75: p ≤ 9

To determine the maximum number of people who can go to the amusement park with a given budget,

we can write and solve an inequality based on the cost of parking and admission per person.

In this case, the inequality is 38.75p + 16.25 ≤ 365, and the solution is p ≤ 9.

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Time is the independent variable as it can be treated as a controllable constant against which changes in a system can be measured. How much time you spend effects how much time you study, making studying the dependent.  

The diagram represents a degenerate triangle due to the fact that it illustrates the use of a strict inequality.

A degenerate triangle simply means a triangle that's formed by here collinear points. It looks like a line segment.

In this case, the diagram represents the case of a degenerate triangle because 4.25 + 4.75 = 9.

The case of a degenerate triangle justifies the use of strict inequality symbols in the triangle Inequality theorem.

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The 95% confidence interval for the true mean weight of all packages received by the parcel service is: 17.17 to 18.63 pounds.

The formula to find the 95% confidence interval for the true mean weight of all packages received by the parcel service is:

Confidence Interval = sample mean ± (critical value * standard error)

The standard error (SE) is calculated using the formula:

SE = standard deviation/√sample size

The parameters are given as:

Sample mean weight: x' = 17.9 pounds

Standard deviation: σ = 2.1 pounds

Sample size: n = 32

Thus:

SE = 2.1/√32

SE ≈ 0.3717

The critical value for a 95% confidence level with a sample size of 32 is: z = 1.96

Thus:

Confidence Interval = 17.9 ± (1.96 * 0.3717)

Lower bound = 17.9 - (1.96 * 0.3717) = 17.17

Upper bound = 17.9 + (1.96 * 0.3717) = 18.63

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Complete question is:

32 packages are randomly selected from packages received by parcel service. the sample has a mean weight of 17.9 pounds and a standard deviation of 2.1 pounds. What is

The value that makes the ratios equal is \(\frac{8}{9}\) .

Step 1: Set up the proportion.
The given ratio is 63:8, and we want to find the value that makes it equal to the ratio 7:x (where x is the unknown value). So, the proportion can be written as:
\(\frac{63}{8}\)= \(\frac{7}{x}\)
Step 2: Solve for x.
To solve for x, cross-multiply:
63 × x = 8 × 7
Step 3: Simplify the equation.
63x = 56
Step 4: Isolate x.
Divide both sides of the equation by 63:
x = \(\frac{56}{63}\)
Step 5: Simplify the fraction.
Both 56 and 63 are divisible by 7, so simplify the fraction:
x = (\(\frac{56}{7}\))/(\(\frac{63}{7}\))
x = \(\frac{8}{9}\)

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Answer: 6

Step-by-step explanation:

When solving this problem, it is important to remember the rules for when we add a negative and subtract a negative. When we add a negative (+ -), we are essentially going to keep the sign attached to the number. In this case, we would still subtract. When subtracting a negative (- -), the signs cancel out, so will add the number instead. With that in mind, we can rewrite the equation and solve it as follows:

13 - 12 + 5

1 + 5

6

Hope this helps!

The correct answer is d) To avoid a large number of classes with very small frequencies.

Unequal class intervals are sometimes used in a frequency distribution to avoid a large number of classes with very small frequencies. This can occur when the data range is very large or when there is a lot of variability in the data.

For example, if we have a dataset with values ranging from 0 to 1000, using equal class intervals of size 100 would result in 10 classes. However, if the data is skewed and most of the values fall in the lower range, many of the classes may have very small frequencies. Using unequal class intervals can help group the data in a way that results in more meaningful class frequencies.

Additionally, unequal class intervals can be used to better represent the distribution of the data. For example, if there is a cluster of values around a certain range, using a smaller class interval around that range can provide more detail and information about the data distribution.

Therefore, the correct answer is d) To avoid a large number of classes with very small frequencies.

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The height of water in the cylinder for the second rain gauge, with an opening 10 times the area of the first rain gauge, is 1 cm.

In the second rain gauge, with an opening 10 times the area of the first rain gauge (B: 200 cm^2), and a collection cylinder with the same opening as the rain gauge in (A: 20 cm^2), we need to determine the height of water in the cylinder for a rainstorm of 10 cm.

To find the height of water in the cylinder, we can use the principle of conservation of volume. The volume of water collected in both rain gauges should be the same since it is from the same rainstorm.

The volume of water collected in the first rain gauge (A) can be calculated using the formula:

Volume = Area * Height

Given that the area of the opening is 20 cm^2 and the height of the water collected is 10 cm, we can find the volume of water collected in rain gauge (A).

Now, let's calculate the volume of water collected in the second rain gauge (B). Since the opening is 10 times the area of the first rain gauge (200 cm^2), we need to find the height of water in the cylinder to maintain the same volume as in rain gauge (A).

By using the formula Volume = Area * Height, we can rearrange it to solve for the height:

Height = Volume / Area

Substituting the volume of water collected in rain gauge (A) and the area of the opening in rain gauge (B), we can calculate the height of water in the cylinder for the second rain gauge.

By performing the calculations, we find that the height of water in the cylinder for the same rainstorm of 10 cm is XXX cm in the second rain gauge.

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A professional rain gauge (B) that is more precise has an opening that is 10 times the area (i.e. 200 cm^2  ). The collection cylinder is the same 20 cm^2  opening as the rain gauge in (A) (i.e. 20 cm^2 ) but a funnel ensure all the water ends up in the collection cylinder. In this second rain gauge, what is the height of water in the cylinder for the same rainstorm of 10 cm rain? ( 2 points)

By finding a common denominator between the fractions we will see that the sum is equal to -17/60

To add fractions directly, we need to find common denominators for them, so we need to find common multiples between 5, 4, and 3.

Particularly in this case, we can use as a common denominator:

5*4*3 = 60

Then we can rewrite all the fractions as follows:

4/5 = (4*12)/(5*12) = 48/60

3/4 = (3*15)/(4*15) = 45/60

1/3 = (20*1)/(3*20) = 20/60

So the sum becomes:

48/60 - 45/60 - 20/60 = (48 - 45 - 20)/60 = -17/60

That is the outcome.

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Answer:

Value of the longest of the four side lengths is 28 cm

Step-by-step explanation:

Let the lengths of the 4 sides be (2x), (2x+2), (2x+4) and (2x+6)

Perimeter = Sum of all sides

=> 100 = 2x + 2x + 2 + 2x + 4 + 2x + 6

=> 100 = 8x + 12

=> 8x = 88

=> x = 11

∴ Value of the longest of the four side lengths = 2x + 6

= 2(11) + 6

= 22 + 6

= 28 cm

Hope it helps :)

Please mark my answer as the brainliest

Answer:

28

Step-by-step explanation:

22+24+26+28=100

Hope this helps!

Answer: There are only two variables, x and r

we have the expression

Group similar terms

Combine like terms

Answer:

60cm and 100cm

Step-by-step explanation:

12 parts in total

240/12 is 20

each part is 20

3x20 is 60 and 5x20 is 100

Answer:

The coordinates of the focus are \(F(x,y) = (-1,0)\) anf the equation of the directrix is \(x = 1\), respectively.

Step-by-step explanation:

Let be \(y^{2} = -4\cdot x\), which represents a parabola with a horizontal axis of symmetry. To find the location of the focus and to determine the equation of the directrix we must find the distance between focus and vertex (\(p\)), dimensionless, a value than can be extracted from the following definition:

\((y-k)^{2} = 4\cdot p \cdot (x-h)\) (Eq. 1)

Where:

\(x\) - Independent variable, dimensionless.

\(y\) - Dependent variable, dimensionless.

\(h\), \(k\) - Coordinates of the vertex, dimensionless.

By direct comparison, we get the following coincidences:

\(h = 0\)

\(k = 0\)

\(4\cdot p = -4\) (Eq. 2)

From (Eq. 2) we get that distance between focus and vertex is:

\(p = -1\)

Which is consistent with the fact parabola has an absolute maximum.

Now, the location of the focus is:

\(F(x,y) = (h+p, k)\) (Eq. 3)

If know that \(h = 0\), \(k = 0\) and \(p = -1\), coordinates of the focus is:

\(F(x, y) = (0-1, 0)\)

\(F(x,y) = (-1,0)\)

And the equation of the directrix is represented by:

\(x = -p\) (Eq. 4)

(\(p = -1\))

\(x = 1\)

The coordinates of the focus are \(F(x,y) = (-1,0)\) anf the equation of the directrix is \(x = 1\), respectively.

Answer:

The general formula for this parabola is y2 = 4px.

Therefore, the value of p is  

✔ –1

.

The coordinates of the focus are  

✔ (–1,0)

.

The equation of the directrix is  

✔ x = 1

.

Step-by-step explanation:

The correct answer is (D) The full length to which it can be extended.

The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.

This helps users determine if the ladder will be long enough for their specific needs when working at height.

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Answer:

40 minutes

Step-by-step explanation:

rate = distance/time = miles/hr

rate = 240 mi/2 hr = 120 mi/hr

time = distance / rate = (80 mi)/(120 mi/hr) = 0.67 hr = 40 minutes

(0.67 hr)(60 min/hr) = 40 minutes

Answer:

8

Step-by-step explanation:

hope this helps.

15028 is not a perfect square.

15028 is not a perfect square.

Smallest number by which 15028 can be divided to make it perfect square is 13.

If, we divide 15028 by 13, answer is 1156.

Therefore,

√1156 = 34.

Answer:

<5 = 132°

<7 = 132°

<8 = 48°

Step-by-step explanation:

aAgle 2 and angle 5 are supplementary which means their sum is 180° so angle 5 is 180 - 48 = 32°

Angle 5 and angle 7 are congruent so their measures are equal 132°

Angle 8 and angle 2 are congruent and equal to each other as well

Answer:

The market equilibrium price is approximately $36.43 per barrel.

Step-by-step explanation:

To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).

Given:

QS = -250 + 7P

QD = 260 - 7P

Setting QS equal to QD:

-250 + 7P = 260 - 7P

Now, let's solve for P:

Add 7P to both sides:

-250 + 7P + 7P = 260 - 7P + 7P

Combine like terms:

14P - 250 = 260

Add 250 to both sides:

14P - 250 + 250 = 260 + 250

Simplify:

14P = 510

Divide both sides by 14:

14P/14 = 510/14

Simplify:

P = 36.43

The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.

In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:

-250 + 7P = 260 - 7P

Simplifying the equation, we get:

14P = 510

Dividing both sides by 14, we find:

P = 36.43

Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.

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Answer:

extract-7/4

decimal-1.75

mixed number-1 3/4

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

B = 56

Step-by-step explanation:

A + B = 90 degrees

(6x - 8) + (5x + 21) = 90

6x - 8 + 5x + 21 = 90

(6x + 5x) + (-8 + 21) = 90

11x + 13 = 90

11x + 13 - 13 = 90 - 13

11x = 77

11x/11 = 77/11

x = 7

Plug into (5x + 21).

5(7) + 21 =

35 + 21 = 56

B = 56

Answer:

8/27

Step-by-step explanation:

The triplicate ratio of 2:3 is 2^3/3^3 = 8/27

HAVE A GREAT DAY!

Answer:

x=55

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal

3x-60 = x+50

Subtract x from each side

3x-60-x = x+50-x

2x-60 =50

Add 60 to each side

2x-60+60=50+60

2x=110

Divide by 2

2x/2 =100/2

x =55

Cluster sampling method subdivides the population into categories sharing similar characteristics and then selects a sample from each​ subdivision

In the probability sampling technique known as cluster sampling, you split a population into groups, such as districts or schools, and then randomly choose a sample from among these groups. As far as possible, each cluster ought to be a miniature representation of the community as a whole.

Cluster sampling is also referred to as multi-stage sampling since additional items are collected from the sample clusters that were chosen in the first step.

When studying large, dispersed populations, cluster sampling is most effective since interviewing every individual would be expensive, time-consuming, and sometimes impossible. By using cluster sampling, it is possible to create smaller, more comparable clusters that represent the population being studied.

Cluster sampling is method of sampling in which samples re subdivided into categories sharing similar characteristics and then selects a sample from each​ subdivision. These groups are called clusters.

For equal sample sizes cluster sampling provide less precision than,simple random sampling and stratified sampling. On the other hand when travel costs between clusters are high, cluster sampling is more cost-effective than the other methods.

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Answer:

I think 21

Step-by-step explanation: