Please Help!
Solve each inequality:

1) P=a+b+2c

2) y=2ab-C

Answer:

-6a - 48

Step-by-step explanation:

−6(a + 8)

= -6a - 48

So, the answer is -6a - 48

Answer: -6a - 48

Step-by-step explanation: distribute -6

Answer:

Step-by-step explanation:

We need to find the least common multiple (LCM) of 3 and 4, which will give us the number of days after which both Julio and Larry will wear a blue shirt on the same day again.

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, ...

We can see that the least common multiple of 3 and 4 is 12, because it is the smallest number that appears in both lists.

This means that Julio and Larry will wear a blue shirt on the same day every 12 days.

Since they both wore blue shirts on April 12, the next date that they will both wear a blue shirt is 12 days later, on April 24.

Answer:

To find the next date that they will both wear a blue shirt, we need to find the least common multiple (LCM) of 3 and 4, which is 12.

So, Julio will wear a blue shirt on April 12, 15, 18, 21, and so on.

Larry will wear a blue shirt on April 12, 16, 20, 24, and so on.

The next date they will both wear a blue shirt is when their dates coincide, which is April 24.

Therefore, Julio and Larry will both wear a blue shirt again on April 24.

Step-by-step explanation:

Answer: 135x

Step-by-step explanation: I did this and got it right

Answer:

The answer is 135

Step-by-step explanation:

Always use PEMDAS when solving so this id what you do

P (parenthesis): 12-2 = 10

E (exponent): [tex]3^{3}[/tex] = 3x3x3 = 27

M (multiply): 10x27= 270

D (divide): 270 divided by 2 = 135

*There is no addition and subtraction in the equation so you dont have to use them*

I hope this helped you!!

The average rate of change on that interval is r = 7/3.

For any function f(x), we define the average rate of change on an interval [a, b] as

r = ( f(b) - f(a))/(b - a)

here, we have,

In this case, the interval is [0, 6], using the graph we can find the values of the function for these inputs:

f(0) = -8

f(6) =6

Replacing that we get:

r = (6 - (-8))/(6 - 0)

r = (6 + 8)/6

r = 14/6

r = 7/3

The average rate is 7/3.

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The garden must be at least 17 feet wide.

Let's use w to represent the garden's breadth.

The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width.

Assuming that the length is 11 feet, the expression for the perimeter can be written as follows:

P = 2(11) + 2w = 22 + 2w

The perimeter is stated to be at least 56 feet and not to exceed 76 feet. Hence, we can create the inequality shown below:

56 ≤ 22 + 2w ≤ 76

When we take 22 out of every aspect of the inequality, we get:

34 ≤ 2w ≤ 54

By multiplying every aspect of the inequality by 2, we obtain:

17 ≤ w ≤ 27

Thus, the garden must be at least 17 feet wide.

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The statistical measures for this set of data are as follows:

Minimum: 3

First Quartile (Q1): 8

Median: 13

Third Quartile (Q3): 16

Maximum: 17

Data is information that has been collected and organized to be used for a purpose. It can include numbers, words, images, or any other type of information. Data is used to answer questions, solve problems, and inform decisions. Data can come from a variety of sources such as surveys, experiments, and observations.

A box and whiskers plot can be used to display the distribution of the data set. The box and whiskers plot will use the minimum, maximum, Q1, median and Q3 values to create a visual representation of the data set. The box in the box and whiskers plot is bound by the Q1 and Q3 values, with the median value being represented as a horizontal line inside the box. The whiskers are lines that extend from the box to the minimum and maximum values. The points outside the whiskers are considered outliers in the data set.

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We can write the function f(x) = (- x³ - 2) at {x} = 5 as -

f(5) = - 127.

An expression is a term made up of both constants and variables.

Given is the function as -

f(x) = - x³ - 2

We can write f(5) as -

f(5) = - (5)³ - 2

f(5) = - 125 - 2

f(5) = - 127

Therefore, we can write the function f(x) = (- x³ - 2) at {x} = 5 as -

f(5) = - 127.

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Step-by-step explanation:

328×5×3÷100

100÷5=20

20÷2=10

328÷2=164

The value of 29% of the number 10 will be 2.9.

The part of any product is given as though it was a ratio of a hundred. The ratio can be represented as a quarter of 100. The phrase % decrypts to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The value of 29% of 10 is calculated as,

⇒ 29% of 10

⇒ 0.29 x 10

⇒ 2.9

The value of 29% of the number 10 will be 2.9.

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Measure of ∠K in triangle KLM by open mouth theorem is ∠K < 90°.

The open mouth theorem states that if two sides of a triangle are congruent with two sides of another triangle, and the included angle of the first triangle is greater than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.  

Given,

two triangles KLM and NOP

KL≅NO and KM≅NP

LM = 7, OP = 9

LM < OP

By open mouth theorem

m∠K < m∠N

m∠N = 90°

m∠K < 90°

Hence, m∠K < 90° is the value of angle K, in triangle KLM

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Dennis must work for at least 10.81 hours to earn at least $100.

What is inequality in mathematics?

An inequality in mathematics is a statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

For example, x < 5 is an inequality that says that the value of x is less than 5. Another example is y ≥ 2x + 3, which is an inequality that says that the value of y is greater than or equal to 2 times x plus 3.

Inequalities are often used to describe ranges of values, such as the set of all numbers that are less than or equal to 5 (written as x ≤ 5) or the set of all numbers that are greater than 2 and less than 7 (written as 2 < x < 7). Inequalities can be solved, graphed on a number line, and used to make comparisons between values or expressions.

Let's start by writing an expression for the total amount of money Dennis earns in x hours:

Total earnings = 1.75x + 7.5x

Simplifying this expression, we get:

Total earnings = 9.25x

Now, we want to find the inequality that represents the number of hours Dennis must work to earn at least $100. We can set up the inequality as follows:

9.25x ≥ 100

This inequality states that Dennis must earn at least $100, which is represented by the value on the right-hand side of the inequality. The left-hand side of the inequality represents Dennis's earnings, which we found to be 9.25x. Since we want to find the minimum number of hours Dennis must work to earn at least $100, we need to solve for x:

9.25x ≥ 100

x ≥ 100/9.25

Simplifying the right-hand side of the inequality, we get:

x ≥ 10.81

Therefore, the inequality that represents the number of hours Dennis must work to earn at least $100 is:

x ≥ 10.81

This means that Dennis must work for at least 10.81 hours to earn at least $100.

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x= 3 and y = 4

so :

x + y = 3 + 4 = 7

Answer : 7

Answer:198

Step-by-step explanation:

15+15+15+!5

f(6)=72

Explanation:

to evaluate f(6) substitute x = 6 into f(x)

f(6)=2/3×(6x6x6x6x6x6)+(8×6)

=2/3×36+48

24+48=72

72 is your answer

Answer: no

Step-by-step explanation: an integer is a number that is not a fraction or a decimal

Answer:

nope

Step-by-step explanation:

it's a decimal, so by definition, it's not an integer.

Answer:

1.8

Step-by-step explanation:

6 is 10% of 60, which means 3% of 60 is 1.8.

Volume of the cone is 1/3 of the volume of the cylinder, so volume of the cone = 40in³.

One-third of the volume of a cylinder is the formula for the volume of a cone. The product of the base area and the height is used to calculate a cylinder's volume. As a result, the formula for a cone's volume is given as V = (1/3) r²h, where "h" stands for the cone's height and "r" for its base radius.

A cylinder's volume is determined by how many unit cubes (cubes of the same length) can fit inside of it. It is the area the cylinder takes up, just as any three-dimensional shape's volume is the area it occupies.

We are aware that a circle serves as the base of a right circular cylinder and that r² is the area of a circle of radius r. As a result, using the formula above, V = r²h is the right circular cylinder's volume.

Now in the given question, volume of the cylinder = 120in³.

Volume of cone = 1/3(volume of the cylinder)

= 1/3 × 120

40in³.

Therefore, volume of the cone = 40in³.

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The diameter and height in the picture are 2/5D and 2/5H, respectively

From the question, we have the following parameters that can be used in our computation:

Container = 2/5 smaller than in reality

This means that

Scale factor = 2/5

So, we have

Diameter = 2/5D where D = diameter in reality

Also, we have

Height = 2/5H where H = height in reality

Hence, the height in picture is 2/5H

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Answer:

d

Step-by-step explanation:

As you can tell by the graphs the relative minimum is -14 since that is where the curve ends and -3 is the maximum due to the top curve being at -3

Answer:

d)  relative minimum = −14, relative maximum = −3

Step-by-step explanation:

The relative minimum and maximum values are the minimum and maximum y-values of the points in the domain of the function.

From inspection of the given graph, the minimum y-value in the interval [1, 5] is -14 and the maximum y-value in the interval [1, 5] is -3.

Therefore:

The standard deviation for the dataset is 28.89.

What is the standard deviation?

When we measure diversity in a data set, it is called standard deviation. We have to calculate the variance first. The square root of variance gives the standard deviation. The formula to calculate standard deviation is:

s= [tex]\sqrt{\frac{(x1-xm)^{2} + (x2-xm)^{2} +........+ (xn-xm)^{2} }{n-1} }[/tex]

First, we will calculate the mean of the data, xm

[tex]xm=\frac{18+22+39+48+77+89}{6}[/tex]

      [tex]=48.83[/tex]

Then, we will calculate the following:

[tex](x1-xm)^{2}=(18-48.83)^{2} \\\\(x2-xm)^{2}=(22-48.83)^{2} \\\\(x3-xm)^{2}=(39-48.83)^{2} \\\\(x4-xm)^{2}=(48-48.83)^{2} \\\\(x5-xm)^{2}=(77-48.83)^{2} \\\\(x6-xm)^{2}=(89-48.83)^{2} \\[/tex]

The summation comes out to be 4174.83.

Therefore, the standard deviation becomes = [tex]\sqrt{\frac{4174.83}{5} }[/tex]

                                                                           =28.89

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The number of cups or juice in this container hole if 1 cup=14.44in³ is 23.49 cups.

Volume refers to the unit of a three-dimensional measure of space that comprises a length, a width and a height. It is measured in units of cubic centimeters in metric, cubic inches or cubic feet.

Volume of a cylinder = πr²h

Where,

π = 3.14

r = diameter/2

= 6 in/2

= 3 in

h = 12 in

So,

Volume of a cylinder = πr²h

= 3.14 × 3² × 12

= 339.12 cubic inches

Recall,

Hint: 1 cup=14.44in³

Therefore,

No of cups in the container hole = 339.12 cubic inches/ 14.4 cubic inches

= 23.49 cups

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Answer: The empirical rule for normal distributions states that for a normal distribution with mean μ and standard deviation σ:

Approximately 68% of the data falls within one standard deviation of the mean, i.e., in the interval (μ - σ, μ + σ).

Approximately 95% of the data falls within two standard deviations of the mean, i.e., in the interval (μ - 2σ, μ + 2σ).

Approximately 99.7% of the data falls within three standard deviations of the mean, i.e., in the interval (μ - 3σ, μ + 3σ).

In this problem, the mean is μ = 20 points and the standard deviation is σ = 3 points. To estimate the probability that the player scored less than 26 points, we need to find the z-score for the value 26, which is given by:

z = (x - μ) / σ = (26 - 20) / 3 = 2

Using the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Therefore, the probability that the player scored less than 26 points is approximately:

P(X < 26) = P(Z < 2) ≈ 0.9772

Converting to a percentage and rounding to one decimal place, we get:

P(X < 26) ≈ 97.7%

Therefore, the estimated probability that the player scored less than 26 points in a randomly selected game is 97.7%.

Step-by-step explanation:

By answering the above question, we may state that We still have the expressions same problem because this result is negative once more.

In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.  

Sheila began with five metres of ribbon and chopped off two and a half to wrap a gift. This may be written as a mixed number:

[tex]2 3/4 = (2 * 4 + 3)/4 = 11/4[/tex]

So, she still has 5 to 11/4 metres of ribbon.

She takes off 0.9 metros of the bracelet's ribbon before cutting it.

She now has the following total quantity of ribbon left:

[tex]5 - 11/4 - 0.9 = 20/4 - 11/4 - 9/10 = (100 - 110 - 36)/20 = -46/20 = -23/10[/tex]

In light of the issue, the outcome is negative, which is illogical.

[tex]5 - 2 3/4 - 0.9 = 5 - 11/4 - 9/10 = (100 - 110 - 36)/20 = -46/20 = -23/10[/tex]

We still have the same problem because this result is negative once more.

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Answer:

212.5ft^2

Step-by-step explanation:

First, go ahead and find the area of the total square. To do this, multiply the length by the height (15*15) to get 225. This is not our final answer, but it will help us solve the problem later.

Next, we need to find the area of the lower-left triangle that is cut off. To do this, we will find the side lengths of just that section. Because the left side of the square and the right side are the same total length, we can just subtract 10 from 15 to get a length of 5.

Now, to find the area of the triangle we will use b*h/2:

5*5/2=12.5

All that's left is to subtract this area from the initial area (225) to get our final answer of 212.5ft^2.

Answer:

The percentage increase is  21.4% increase

Given Data

Initial temperature =  12 1/4°F = 49/4 = 12.25°F

Final Temperature =  15 3/5°F = 78/5 = 15.6°F

We know that the expression for percentage increase is given as

Percent Increase = Increase/Final *100

Percent Increase = 15.6-12.25/15.6 *100

Percent Increase = 3.35/15.6 *100

Percent Increase = 0.214 *100

Percent Increase = 21.4%

Hence there is a 21.4% increase

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Answer:

lansing Michigan has more rain

Step-by-step explanation:

Answer:

this question is knd a hard

x = y

4x + 9y = -39

4x + 9x = -39

13x = -39 /÷13

x = -3

∴ x = -3, y = -3

Answer:

False.

Step-by-step explanation:

The equation f(x) = [tex]-x^4[/tex] + 3 has a maximum interval of (0, 3).

First simplify the equation:

f(x) = [tex]-4x^3[/tex]

Then find the intervals:

Increasing -∞<x<0, Decreasing 0>x>∞

Plug x = 0 into [tex]-x^4[/tex]+3: 3

Therefore the maximum interval of [tex]f(x) = -x^4 + 3[/tex] is (0, 3)

Answer:4

Step-by-step explanation:12/3

Answer:

Expanding the expression, we have:

-4.8y - 2(6.35y + 4.65)

= -4.8y - 12.7y - 9.3 (distributing the -2)

= -17.5y - 9.3

Step-by-step explanation: