Which of the following equations correctly represents the set-up to solve for x?

A: x-6+2x=10
B: x-6+2x=90
C: x-6=2x-8
D: x-6+2x-8=180

The value of d if, The measure of the angles of a triangle are 2dº, 98°, and (2d+ 2)°, is 20.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The measure of the angles of a triangle are 2dº, 98°, and (2d+ 2)°,

Calculate the value of d as shown below,

2d + 98 + 2d +2 = 180  (The sum of the interior angle of the triangle is 180)

Do arithmetic operations as shown below,

4d + 100 = 180

4d = 180 - 100

4d = 80

d = 80 / 4

d = 20

Thus, the value of d is 20.

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the maximum dimensions of the box would be 60 cm x 60 cm x 60 cm in order to have the maximum allowable volume while still meeting the airline's luggage restrictions.

If the length and width of the box are equal, we can call the length and width x. Then, the height of the box would also be x in order to maximize the volume.

The sum of the length, width, and height of the box would be:

x + x + x = 3x

We know that the sum of the length, width, and height must be less than or equal to 180 cm. So:

3x ≤ 180

Simplifying, we get:

x ≤ 60

Therefore, the maximum dimensions of the box would be 60 cm x 60 cm x 60 cm in order to have the maximum allowable volume while still meeting the airline's luggage restrictions.

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Dimensions, the sum of the length, width, and height is 360 cm.

Let's assume that the length, width, and height of the box are all equal to

x cm. Since the length and width are equal, we can write:

Length = Width = x

The volume of the box can be expressed as:

Volume = Length x Width x Height

Volume = x × x × (180 - 2x) (since the height is equal to 180 - length - width)

To find the dimensions of the box that would give us the maximum volume, we need to differentiate the volume function with respect to x and set it equal to zero:

\(dV/dx = 3x^2 - 360x = 0\)

Solving this equation, we get:

x = 0 or x = 120

Since x cannot be zero, the only possible value for x is 120 cm. Therefore, the dimensions of the box should be:

Length = Width = Height = 120 cm

With these dimensions, the sum of the length, width, and height is:

Length + Width + Height = 120 + 120 + 120 = 360 cm

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Answer:

a trapezoid

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

Perimeter =  sum of lengths of sides of a trapezoid

Answer:

d) the line crosses the y-axis above the origin

Step-by-step explanation:

your welcome

Answers:

Positive slopes:

Y = 8x - 6 with a slope of 8.

30x - 5y = 25 with a slope of 6.

Negative slopes:

-3x + 3y = 18 with a slope of -1.

Y = -3x + 7 with a slope of -3.

20x + 10y = 90 with a slope of -2.

Step-by-step explanation: Have a great day! :)

Answer:

Positive Slopes

2) y = 8x - 6

3) y = 6x - 5

5) y = 1x + 6

Negative Slopes

1) y = -3x + 7

4) y = -2x + 9

(Bold numbers indicate the slopes)

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

y = mx + b

m ~ slope of the line

b ~ intercept of the line

\(3) \: \: 30x - 5y = 25 \\ 30x - 25 = 5y \\ \frac{30x - 25}{5} = \frac{5y}{5} \\ 6x - 5 = y \\ \\ y = 6x - 5\)

\(4) \: \: 20x + 10y = 90 \\ 10y = - 20x + 90 \\ \frac{10y}{10} = \frac{ - 20x + 90}{10} \\ y = - 2x + 9 \\ \)

\( 5) \: \: - 3x + 3y = 18 \\ 3y = 18 + 3x \\ \frac{3y}{3} = \frac{18 + 3x}{3} \\ y = 6 + x \\ \\ y = x + 6\)

The dimensions of the package with the maximum volume are:
Radius ≈ 7.86 inches
Length ≈ 104.95 inches

To maximize the volume of a cylindrical package with a given combined length and girth, we will use calculus to find the optimal dimensions.

Given that the maximum combined length and girth is 141 inches, let's denote the radius of the cross-sectional circle as r and the length of the cylinder as L. The girth is the perimeter of the circular cross section, which is given by 2πr. So, we have the constraint:

L + 2πr = 141

The volume of the cylinder V is given by the formula:

V = πr²L

We want to maximize V subject to the constraint. To do this, we can solve the constraint equation for L:

L = 141 - 2πr

Now, substitute this expression for L into the volume formula:

V(r) = πr²(141 - 2πr)

To find the maximum volume, we'll take the derivative of V(r) with respect to r and set it equal to 0:

dV/dr = π(282r - 6πr² - 2r³) = 0

We can use numerical methods to solve for r:

r ≈ 7.86 inches

Now, we can find the corresponding length L:

L ≈ 141 - 2π(7.86) ≈ 104.95 inches

So, the dimensions of the package with the maximum volume are:
Radius ≈ 7.86 inches
Length ≈ 104.95 inches

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Answer:

6 minutes

Step-by-step explanation:

3 hours = 180 minutes

180 minutes / 30 windows= 6 minutes per window

To find the probability that the diameter of a selected ball bearing is greater than 127 millimeters, we can use the normal distribution.

Given that the diameter of ball bearings is normally distributed with a mean of 133 millimeters and a variance of 16, we can calculate the probability using the standard normal distribution table or a statistical calculator.

Since the diameter of ball bearings is normally distributed, we can standardize the value 127 using the formula z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. In this case, the standard deviation is the square root of the variance, which is 4.

Plugging in the values, we get z = (127 - 133) / 4 = -1.5. Now, we can find the probability using the standard normal distribution table or a statistical calculator. The probability of the diameter being greater than 127 millimeters is equal to 1 minus the cumulative probability up to -1.5.

By looking up the cumulative probability for -1.5 in the standard normal distribution table or using a calculator, we find that the cumulative probability is approximately 0.0668. Therefore, the probability that the diameter of a selected ball bearing is greater than 127 millimeters is approximately 0.0668 or 6.68% (rounded to four decimal places).

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Answer:

26, 29, 32

Step-by-step explanation:

Each term is 3 more than the previous term.

5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, ...

The variance of the PantherCorp stock returns over the past five years is 0.0190.

To calculate the variance, we need to follow a few steps. First, we find the average (mean) return of the stock by summing up the individual returns and dividing by the number of observations:

Average Return = (13% - 10% + 7% - 6% + 4%) / 5 = 1.6%

Next, we calculate the difference between each individual return and the average return, and square those differences:

(13% - 1.6%)^2 = 144.00
(-10% - 1.6%)^2 = 158.76
(7% - 1.6%)^2 = 20.25
(-6% - 1.6%)^2 = 80.64
(4% - 1.6%)^2 = 4.00

Then, we find the average of these squared differences:

Average of Squared Differences = (144.00 + 158.76 + 20.25 + 80.64 + 4.00) / 5 = 81.73

Finally, the variance is the average of squared differences:

Variance = 81.73 / 100^2 = 0.0190

Therefore, the variance of the PantherCorp stock returns is 0.0190, which represents the volatility or dispersion of the returns over the five-year period.

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Answer:

Two million nine hundred seventeen thousand and seven

Step-by-step explanation:

SOLUTION:

Total number of surved people = 450

Percentage of people that prefer vacation in Florida = 66%

We are to find the number preferring vacation in Florida;

CONCLUSION:

The number people preferring vacation in Florida is 297 people.

In response to the question, we may say that Therefore, the cost of a equation calculator is $10.7 and the cost of a protractor is $1.9.

Let the cost of one calculator be c and the cost of one protractor be p. Then we can write two equations based on the information given:

40c + 30p = 485 (Equation 1)

20c + 20p = 252 (Equation 2)

We can simplify Equation 2 by dividing both sides by 20:

c + p = 12.6 (Simplified Equation 2)

Now we can solve this system of equations using substitution. Solving Equation 2 for c, we get:

c = 12.6 - p

Substituting this expression for c into Equation 1, we get:

40(12.6 - p) + 30p = 485

Expanding and simplifying:

504 - 40p + 30p = 485

Solving for p:

-10p = -19

p = 1.9

Substituting this value for p into Simplified Equation 2, we get:

c + 1.9 = 12.6

Solving for c:

c = 10.7

Therefore, the cost of one calculator is $10.7 and the cost of one protractor is $1.9.

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An expression which does not represent the perimeter of the rug in feet include the following: C. 2(6 7/8) + w.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W) or P = 2L + 2W

Where:

Substituting the given parameters into the perimeter of a rectangle formula, we have the following expressions;

Perimeter, P = 2(6 7/8 + W)

Perimeter, P = 2(6 7/8) + 2W = 2W + 13 6/8

Perimeter, P = 6 7/8 + W + 6 7/8 + W

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Answer:

Our two selected points:

-3, 3

2, -4

-4 -(3)           7

_____ = - _____ = -7/5, D is your answer

2 - (-3)         5

Answer:

I think we have to count circumference of this wheel.

C=D*π=250*3,14=785ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = x² - 8

put x= 9   you have  y =  (9)² - 8 =81-8 = 73

Answer:

\(y=15x+8\)

Step-by-step explanation:

Step one:

guaranteed base pay=  $80 each day

$15 commission for every computer sale

let the number of computers he sales be x

and let the total amount he makes be y

Step two:

Required

the expression for the total

The total can be modeled after the equation of a line

\(y=mx+c\)

\(y=15x+8\)

The value which the four digit number is divisible by 5 is 608

What is Divisibility?

By looking at the digits of an integer, a divisibility rule can be used to quickly and conveniently determine if it can be divided by a specific number.

The given four-digit number is divisible by 5:

3040

To find the value from which the four digit number is divisible by 5

3040 ÷ 5

= 3040/5

= 608

Hence, The value of the be so that this four-digit number is divisible by 5 is 608

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Answer:

$180

Step-by-step explanation:

.3 * 600

Answer:

He earned $180.

Step-by-step explanation:

Multiply 600 by .30 to get 180. Hope this helps!

Answer:

nicholas' score is -120 points

Step-by-step explanation:

-85-35=-120

The probability of winning $600 or less if you play the game 10 times, assuming that each game is independent IS 0.5630.

A popular probability distribution known as the binomial distribution simulates the likelihood of getting one of two outcomes given a set of parameters. It totals the number of trials when each trial has an equal chance of producing a particular result. The probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials are multiplied to create the binomial distribution.

Given,

Cash prize = $100

Probability of winning the game = 0.7

Using binomial distribution,

P(4 ≤X≤ 6) = P( X = 4) + P( X = 5) + P( X = 6)

P( 4 ≤ X ≤ 6)

= 1/4(0.6)⁴(0.4)⁴ + 10/5 (0.6)⁵(0.4)⁵ + 10/6 (0.6)⁶(0.4)⁶

= 0.1115 + 0.2007 + 0.2508

= 0.5630

The probability of winning $600 or less if you play the game 10 times, assuming that each game is independent IS 0.5630.

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Answer:

6 sides, hexagon

Step-by-step explanation:

If you count the sides you see there are 6, and 6 sided figures are hexagons.

There are 6 subgroups of order 7 in Z/28Z. To find them, you need to identify which elements of Z/28Z generate a group of order 7.

These elements are 1, 7, 13, 19, 25, and 27. Each element creates a subgroup of order 7. These subgroups are:

1) {1, 7, 13, 19, 25, 27, 28}
2) {1, 7, 13, 19, 25, 27}
3) {1, 7, 13, 19, 25}
4) {1, 7, 13, 19}
5) {1, 7, 13}
6) {1, 7}

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Answer:

Each cookie costs $1.30

Step-by-step explanation:

7x+2=11.10

Subtract 2 from both sides

7x=9.10

Divide both sides by 7

x=1.30

The mean of a discrete random variable generalizes the concept of an average value or expected value of the outcomes of a random experiment where the possible outcomes are discrete and random. A discrete random variable is a variable that can only take on specific, isolated values, and the mean of this variable represents the weighted average of all possible values, with each value being weighted by its probability of occurrence. Therefore, the mean of a discrete random variable provides a measure of central tendency that summarizes the distribution of the variable.
Hi! The mean of a discrete random variable generalizes the concept of an "expected value." In this context, "discrete" refers to a finite or countable number of distinct values, "random" indicates the variable's outcomes depend on chance, and "variable" represents a quantity that can vary.

The expected value is a weighted average of all possible values that a discrete random variable can take on, with each value being multiplied by its respective probability. It provides a measure of the "central tendency" or the long-term average outcome of the random variable.

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This question is incomplete

Complete Question

Joe needs to transfer 28 quarts of oil into gallons containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Answer:

7 gallons is the correct answer

Joe needs to transfer 28 quarts of oil into 7 gallons

Step-by-step explanation:

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Correcting Joe's error, we have:

4 quarts = 1 gallon

28 quarts = x

Cross Multiply

4 quarts × x = 28 quarts × 1 gallon

x = 28 quarts × 1 gallon/ 4 quarts

x = 7 gallons

= 28 quarts/x gallons × 1 gallon/4 quarts

= (28 × x)/ ( 1 /4) = 7 gallons

Therefore, Joe needs to transfer 28 quarts of oil into 7 gallons