The area of the following rectangle is 30 square units. What is the value of x

a.6.4 units
b.8 units
c.27 units
d.12 units

The total of students in 11th and 12th grade is 30% + 10% = 40% of the students at the school.

The total of students in the 9th and 10th grade is 20% + 40% = 60% of the students at the school.

The difference between the groups is 60% - 40% = 20% of the students at the school. That difference is 100 students, so 20% of the student body is 100 students. Multiplying by 5 tells us 100% of the student body is 500 students.

Specific mathematical expressions are needed to determine which has an estimated product of 60, for instance, combinations like 10 times 6 or 15 times 4.

The question relates to estimating the product of numerical expressions to determine which one is closest to 60. However, the provided information contains unrelated data and does not present clear mathematical expressions that we can evaluate to find an estimated product of 60. Thus, to accurately answer this question, we would need specific expressions to consider. In general, an expression likely to have an estimated product of 60 would be the multiplication of two numbers whose product is close to 60. For instance, numbers like 10 and 6 or 15 and 4 could be suitable factors in such expressions.

Answer:

1 output for 1 input

Step-by-step explanation:

A relation is a function if there is exactly one output for each input.

Hence, Option 3 is true.

We know that;

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

A relation is a function.

Hence, We get;

A relation is a function if there is exactly one output for each input.

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Answer:

taken

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

on algebra nation, it would be B

Answer:

Step-by-step explanation:

The graph is a straight line.

The line does not pass through the origin.  

The y-intercept of the line is 2.

Answer:

He sold the house for $325,120.

Step-by-step explanation:

A realtor earns a 3.25% commission on the sale of each house.

He earned his commission on a house sell = $10,566.40

Let the price on which he sold a house be 'p'

Therefore, 3.25% × p = $10,566.40

0.0325 × p = 10566.40

p = [tex]\frac{10,566.40}{0.0325}[/tex]

p = $325,120

He sold the house for $325,120.

Answer:

The correct option is 4.

Step-by-step explanation:

Given information:

Bring lunch : 46 males, 254 females

Buy lunch   : 176 males, 264 females

Total number of peoples is

[tex]46+254+176+264=740[/tex]

Total number of males is

[tex]46+176=222[/tex]

The probability of male is

[tex]P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3[/tex]

Since probability of males is 0.3, therefore options A and C are incorrect.

Total number of persons who buys lunch is

[tex]176+264=440[/tex]

The probability of persons who buys lunch is

[tex]P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}[/tex]

We need to find the probability of P(male | buys lunch).

According to the conditional probability, we get

[tex]P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}[/tex]

P(male | buys lunch)[tex]=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}[/tex]

P(male | buys lunch)[tex]=\frac{\frac{176}{740}}{\frac{22}{37}}[/tex]

P(male | buys lunch)[tex]=\frac{2}{5}=0.4[/tex]

Therefore the correct option is 4.

Answer: it’s D

Step-by-step explanation:

Now lemme get on tik tok dang

The equation -2/3 - (-1 1/3) simplifies to -2/3 + 4/3, which ultimately equals 2/3. To solve this, we convert mixed numbers to improper fractions and add, since subtracting a negative is the same as adding a positive. The correct option is B.

To solve the equation -2/3 - (-1 1/3), we need to subtract a negative number, which is the same as adding its positive equivalent. First, convert the mixed number -1 1/3 to an improper fraction. Since 1 is equal to 3/3, -1 1/3 is the same as -1 - 1/3, or -3/3 - 1/3, which simplifies to -4/3. Now we have -2/3 - (-4/3), which is the same as -2/3 + 4/3. Combining these fractions gives us 2/3, which is the positive solution to the equation.

The mixed number 5 1/6 can be converted into a rational number. This is done by multiplying the whole number by the denominator, adding the numerator, and then placing this value over the denominator. Thus, 5 1/6 as a rational number is 31/6.

The number 5 1/6 is a mixed number. You can convert it to a rational number, which is a number that can be expressed as a quotient or division of two integers. A rational number is represented by 'p/q' where p and q are integers and q is not equal to 0.

To convert 5 1/6 into a rational number, you would first multiply the whole number (5) by the denominator of the fraction (6), then add the numerator of the fraction (1). This gives you the new numerator. The denominator remains 6. The calculation would look like this: (5×6 + 1)/6 = 31/6.

So, 5 1/6 as a rational number is 31/6.

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Answer:

Perimeter = 4L = 4(2x+3y) = 8x+12y

Step-by-step explanation:

Given:

square with area A(x,y) = 4x^2+12xy+9y^2

Find perimeter.

A(x,y) = (2x+3y)^2

Length of each side

L = sqrt( A(x,y) ) = sqrt((2x+3y)^2) = 2x+3y

Perimeter = 4L = 4(2x+3y) = 8x+12y

The graph of the function y = 5x + 4 with domain x ≤ 0 is shown below.

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

The given function is,

y = 5x + 4

And the domain of the function is x ≤ 0.

To draw the graph of the line y = 5x + 4

The slope of the line m = 5.

And y intercept at x = 0

y = 5(0) + 4

y = 4

Also, the domain is x ≤ 0.

So the graph can be represented as given below.

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Answer:

m=-2

b=2  

Equation in Slope-Intercept Form: y= -2x+2

Step-by-step explanation:

The slope-intercept form, y = mx + b of the given line will be y = -2x + 2.

A line section that can connect two places is referred to as a segment.

The slope of a line is tan of the angle from the positive x-axis.

In other words, the slope is just the intensity of inclination of any curve at a point for example x = sinx has 0 inclination at x = 0.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that the points are  (–3, 8) and (4, –6).

Slope m = difference in y coordinate/difference in x coordinate

m = (-6 - 8)/(4 +3 ) = -2

So our equation will be

y = -2x + n

Now for b put  (4, –6) than

n = 2 so

The equation will be y = -2x +2 hence it will be the correct answer.

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Answer:

The percentage of people surveyed that were satisfied with the car is 55%.

Step-by-step explanation:

The statement indicates that in a survey 1,100 people of 2,000 surveyed said that they would buy the car they have again and from this, you can inferred that they are satisfied with the car. So, to calculate the percentage of people surveyed that were satisfied with the car you have to divide 1,100 by 2,000 that is the total number of people surveyed and then, multiply the result by 100:

1,100/2,000=0.55*100= 55%