what is the area of the figure ? answers a. 12 units2 b. 17 units 2 c. 16 units 2 d. 24 units2 e. none

Answer:300

Step-by-step explanation:

225 is 3/4 of the answer

225/3 =75

225+75=300

300*.25=75

Answer: 300

Step-by-step explanation:

We will set up an equation to help us solve. Let n be the number. Please note that a percent (25%) divided by 100 becomes a decimal (0.25).

Equation:

    n - 0.25n = 225

Subtract:

    0.75n = 225

Divide both sides of the equation by 0.75:

    n = 300

Answer:,

Step-by-step explanation:,

Answer: 80

Step-by-step explanation:

⇒  −(8 − 12) + 60 + (−4)²

⇒ -(-4) + 60 + 16

⇒ 4 + 60 + 16

⇒ 80

Answer:

x=-2

Step-by-step explanation:

answer attached

Using the normal distribution, the area underneath the shaded region between the two z-scores is given by:

C. 0.6766.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Hence, for this problem, the area is the p-value of z = 0.75 subtracted by the p-value of z = -1.3.

Looking at the z-table, the p-values are given as follows:

Then:

0.7734 - 0.0968 = 0.6766.

Which means that option C is correct.

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Answer: 3/8

Step-by-step explanation:

cuz it is

System of liner equation \(x+3y-z=2\),\(x+y-z=0\) and \(3x+2y-3z=-1\) has no solution.

What do you mean by system of linear equation?

A set of two linear equations with two variables is a system of linear equations.

Given:

\(x+3y-z=2\)           ---1

\(x+y-z=0\)             ---2

\(3x+2y-3z=-1\)     ---3

Rearranging the equation 2

\(z=x+y\)   ---4

Putting equation 4 in equation 1

⇒ \(x+3y-(x+y)=2\)

⇒ \(x+3y-x-y=2\)

⇒ \(2y=2\)

⇒ \(y=1\)

Putting equation 4 in equation 3

⇒ \(3x+2y-3(x+y)=-1\)

⇒ \(3x+2y-3x-3y=-1\)

⇒ \(-1y=-1\)

⇒ \(y=1\)

Putting value of y above

⇒ \(1=1\)

Therefore, system of liner equation has no solution.

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The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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Answer:

They are all true.

Step-by-step explanation:

If we substitute each letter with the number that they correspond to, then it should be easy math.

Answer 1: C (100) > L (50). This is true.

Answer 2: XXX (30) < XL (40). This is also true.

Answer 3: IX (9) < XIV (14). This is true.

I do not know what your teacher wants you to put, but there is not an incorrect answer among these. Is there a fourth answer?

Answer:

the answer is Y=5

hope this helps☺

Answer:

Mick Cornett was the mayor of Oklahoma when the city entered the list showing the cities with the highest number of obese in the USA. Oklahoma reached the top of the list, which left the mayor uncomfortable and concerned about the health of citizens. He decided to promote healthier ways of life in cities, including for him, who was also overweight. For Cornett an efficient city has a healthy population and it is the duty of the government to encourage this lifestyle. To this end, he stipulated the creation of public policies that made it easier for people to walk and that discouraged the use of cars. It also promoted the practice of sports and healthy eating.

Step-by-step explanation:

Answer:What was the overall response to Cornett’s plan to put his city on a diet, both locally and nationwide? What were some things that occurred as a result of the coverage and his website.

Step-by-step explanation:

Answer:

51 ft

Step-by-step explanation:

Answer:

Answer is 51 feet or 51'..........

Answer:

x = 19

Step-by-step explanation:

(5x + 18)° and 113° are corresponding angles and are congruent, so

5x + 18 = 113 ( subtract 18 from both sides )

5x = 95 ( divide both sides by 5 )

x = 19

-32/9 feet/min fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall. So the option a is correct.

In the given question, a 5 foot person walks at 40 feet per minute on a level path toward a vertical wall.

A light on the ground directly behind the person casts a shadow of the person on the wall.

The light is loo feet from the wall.

We have to find how fast the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall.

From the diagram given below;

dx/dt = 40 feet/min

y/100 = 5/x

Multiply by 100 on both side, we get;

y = (5×100)/x

y = (500)/x

dy/dt = -500/x^2(dx/dt)

Now putting the value of dx/dt

dy/dt = -500/x^2 *40

dy/dt = -20000/x^2

from the diagram given below, x = 75 feet

Now putting the value of x

dy/dt = -20000/(75)^2

dy/dt = -32/9 feet/min

Hence, -32/9 feet/min fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall. So the option a is correct.

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The correct equation is  there are 7 boys in the class and 12 girls that is 2n + 5 = 19.

The correct equation that accurately depicts the word problem is:

n + (n + 5) = 19

This equation represents the fact that the total number of pupils in the class is 19, and that there are five more girls than boys. By using n to represent the number of boys, we can express the number of girls as n + 5. Adding the number of boys and girls together gives us the total number of pupils, which is 19.

Simplifying the equation, we get:

2n + 5 = 19

Subtracting 5 from both sides, we get:

2n = 14

Dividing both sides by 2, we get

n = 7

Therefore, there are 7 boys in the class and 12 girls (7 + 5). This equation accurately represents the relationship between the number of boys and girls in the class, and can be used to solve similar problems.

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The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

Yes for:

x = 30

Step-by-step explanation:

Since 31 = x+1

Simplifying, 1 is deducted from 31 to get 30

This gives the two sides of the equation as 30 = x

Therefore, x = 30

This is a simple equation.  It can easily calculate the value of x given the value on the other side of the equation.  Therefore, x is a dependent variable in this system of equation.  And just like every system of equation, the simple equation problem requires that the two sides of the equation are always kept in balance or equilibrium.

Answer:

6x+18

Step-by-step explanation:

6(x + 3).

Distribute

6x+6*3

6x+18

Answer:

24×20×30=14,400 minutes

Answer:

teds sister is 60 years old, ted is 120 some how, and joe is 123.

Step-by-step explanation:

half of a century is 50 because a century is 100 years and plus 10 years equals 60 and 60 times 60 equals 120 and 120 plus 3 years equals 123 so that's how I got the answers. At first this answer looks complicated you just have to read the question carefully.

Answer:

depends on the size of the house

let's say the house is 10 square meter then you would need 5 gallons

let's the house is 60 square meter then you would need 30 gallons

Step-by-step explanation:

whatever the square meter just divide it with 2 and that should be your answer

The maximum profit the company can make given these constraints is; $1360

We are given that;

Its dealers demand at least 30 skateboards per day and 20 pairs of in-line skates per day. The factory can make at most 60 skateboards and 40 pairs of in-line skates per day. The total number of skateboards and pairs of in-line skates cannot exceed 90. The profit of each skateboard is $12 and the profit on each pair of in-line skates is $19

Thus, the inequalities are as follows;

Let x represent number of skateboards

Let y represent in-line skates

Thus;

x ≥ 30

y ≥ 20

x ≤ 60

y ≤ 40

x + y ≤ 90

y ≤  -x + 90

f(x, y) = 12x + 19y

At (30, 20), f(30, 20) = 12(30) + 19(20) = $740

At (30, 40), f(30, 40) = 12(30) + 19(40) = $1120

At (50, 40), f(50, 40) = 12(50) + 19(40) = $1360

At (60, 20), f(60, 20) = 12(60) + 19(20) = $1100

At (60, 30), f(60,30) =  12(60) + 19(30) = $1290

Thus, the maximum profit the company can make given these constraints is; $1360

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Answer:

84 is a solution.

Step-by-step explanation:

To find out if 84 is a solution or not, we plug in the value and simplify.

Therefore, 84 is a solution.

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

the sum of the values of a and b such that f(x) = \(2ax^2 + bx + 3\) has a relative extremum at the point (-1,2) is 2.5.

If the function f(x) = \(2ax^2 + bx + 3\) has a relative extremum at the point (-1,2), then the derivative of the function must be zero at x = -1. This is because at a relative extremum, the slope of the tangent line is zero.

So, we need to find the derivative of f(x) and set it equal to zero at x = -1:

f'(x) = 4ax + b

f'(-1) = 4a(-1) + b = -4a + b = 0

Solving for b, we get:

b = 4a

Now, to find the sum of a and b, we just need to substitute b = 4a into the expression for f(x) and use the fact that f(-1) = 2:

f(x) = \(2ax^2 + bx + 3\)

f(-1) = \(2a(-1)^2 + b(-1) + 3 = 2\)

Substituting b = 4a, we get:

2a(1) - 4a + 3 = 2

2a - 4a + 3 = 2

-2a = -1

a = 1/2

Then, using b = 4a, we get:

b = 4(1/2) = 2

So, the sum of a and b is:

a + b = 1/2 + 2 = 2.5

Therefore, the sum of the values of a and b such that f(x) = \(2ax^2 + bx + 3\)has a relative extremum at the point (-1,2) is 2.5.

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