Find the area of 2x-9 + x+5

Answer:

[tex]m[/tex]perpendicular = 6

Step-by-step explanation:

Hope this helps! :))

Explanation:

Take any two whole numbers you want. Multiplying them together always result in some (other) whole number.

Examples:

In other words,

(whole number)*(whole number) = whole number

This is why we consider the set closed under multiplication.

Answer:

x = 4

Step-by-step explanation:

a line with an undefined slope is a vertical line parallel to the y- axis, with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (4, 6 ) with x- coordinate 4 , then

x = 4 ← equation of line

Let the rectangle with side as x and y.

Determine the area of the rectangle.

The sides of the rectangle is increased by twice means that new sides are 2x and 2y.

Determine the area of new rectangle.

So new area is four times the previous rectangle.

Thus correct answer is option A quadruples.

Step-by-step explanation:

Solve for y: -2 = y + 5/6

-2 = y + 5/6 subtract 5/6 from both sides:

-2 - 5/6 = y + 5/6 - 5/6

-2 - 5/6 = y

combine left side:

-17/6 = y

so:

y = -17/6

OR:

[tex]y = -2\frac{5}{6}[/tex]

Answer:

-152

Step-by-step explanation:

1. Parenthesis

2. Exponents

3. Multiplication/Division (left to right)

4. Addition/Subtraction (left to right)

Always look left to right.

The first thing is 9x24=216 (3. multiply)

10-216/8x6

Then 216/8=27 (3. divide)

10-27*6

Then 27*6=162 (3. multiply)

10-162

Then finally 10-162=-152 (4. subtract)

The expression 10 - 9 x 24/8 x 6 following (PEMDAS/BODMAS) is 5.5.

We have,

To solve the expression using the order of operations (PEMDAS/BODMAS), follow these steps:

Perform multiplication and division from left to right:

10 - 9 x 24/8 x 6 can be rewritten as 10 - (9 x 24) / (8 x 6).

Perform the multiplication inside the parentheses:

10 - (9 x 24) / (8 x 6)

10 - 216 / (8 x 6).

Perform the multiplication in the denominators:

10 - 216 / (8 x 6)

10 - 216 / 48

Perform the division:

10 - 216 / 48

10 - 4.5

Perform the subtraction:

10 - 4.5

5.5

Therefore,

The expression 10 - 9 x 24/8 x 6 following (PEMDAS/BODMAS) is 5.5.

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Average speed is 35.56 mph.

Calculating average speed involves dividing the whole distance travelled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time. Average speed refers to the average speed during the course of a journey.

We have to find the average speed of the whole journey.

First we have to find total distance for whole journey and then total time for whole journey.

Total distance for whole journey = 30 miles + 50 miles = 80 miles

Time for 30 miles = distance/speed = 30/40 = 3/4 hrs  = 0.75 hrs

Total time = 1.5 + 0.75 hrs = 2.25 hrs

Average speed =  total distance/ total time

= 80/2.25

= 35.56 mph.

The average speed is 35.56 mph.

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Answer:

x=15

Step-by-step explanation:

5x+25=100

Subtract 25 from both sides.

5x+25−25=100−25

5x=75

Divide both sides by 5.

5x÷5=75÷5

x=15

[tex]5x+25=100\\x=[/tex]

Subtract 25 from both sides:

[tex]5x+25-25=100-25\\5x=75[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5} =\frac{75}{5}[/tex]

[tex]\fbox{x=15}[/tex]

Answer:

4th option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{2}{3}[/tex] x + 8 ← is in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 6, 2 ) into the partial equation

2 = - 9 + c ⇒ c = 2 + 9 = 11

y = [tex]\frac{3}{2}[/tex] x + 11 ← equation of perpendicular line

Answer:

I miss you

Step-by-step explanation:

Answer:

The missing angle in Triangle A is 66 degrees

The missing angle in Triangle B is 34 degrees

Because Triangle A has measures of 34 degrees, 80 degrees, and 66 degrees

and

Triangle B has measures of 80 degrees, 66 degrees, and 34 degrees, we can conclude that THEY ARE SIMILAR TRIANGLES

Explanation:

The sum of angles in a triangle is 180 degrees.

Given that triangle A has m<1 = 34 degrees, m<2 = 80 degrees. Let the missing angle be x, then

x + 34 + 80 = 180

x + 114 = 180

Subtract 114 from both sides

x = 180 - 114

= 66 degrees

Triangle B has m<1 = 80 degrees, m<2 = 66 degreess. Let the missing angle be y, then

y + 80 + 66 = 180

y + 146 = `180

Subtract 146 from both sides

y = 180 - 146

= 34 degrees

Triangles A and B are similar, since they have similar measure of angles.

EXPLANATION

Let's see the facts:

Temperature at sunrise = 48 °F

Rate = 6°F/h

The equation is given by the following expression:

Let's call "x" to the number of hours elapsed

y = 48 + 6x

The graph is given by the following representation:

The largest possible whole-number length for the third side of the triangle is 23.

The total of any two sides in a triangle with sides a, b, and c MUST be less than the length of the third side.  

You have a line segment, not a triangle if the third side's length equals the sum of the other two sides' lengths.  

Here, the sum of the two sides of the triangle is 12 + 12 = 24.  

Therefore, the length of the third side should be less than 24, and the whole number which is less than 24 is 23.  

Hence, the length of the third side is 23.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Earnings:

January = $2350

February = january + $500

March = twice as much (february)

Step 02:

March's earnings:

February = $2350 + $500 = $2850

March = 2 * $2850 = $5700

The answer is:

She earned $5700 in March

Step 1

The measures of variance include;

Step 2

For a bar chart, we have that;

Answer: y = 1

Step-by-step explanation:

Given

7 + y = 5(2y - 1) + 3y ← distribute and simplify right side

7 + y = 10y - 5 + 3y

7 + y = 13y - 5 ( subtract y from both sides )

7 = 12y - 5 ( add 5 to both sides )

12 = 12y ( divide both sides by 12 )

1 = y

PLUG IN THE VALUES OF THE VARIABLES IN THE RIGHT POSITIONS AND SIMPLIFY.

[tex] \frac{1}{2} (12 - 4) \times \frac{1}{4} \\ = \frac{1}{2} (8) \times \frac{1}{4} \\ = \frac{8}{2} \times \frac{1}{4} \\ = \frac{8}{8} \\ = 1[/tex]

THE ANSWER IS OPTION B.

Answer:

35

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

divide 63 by 9 to find the value of 1 part of the ratio

63 ÷ 9 = 7 , then

4 parts = 4 × 7 = 28

5 parts = 5 × 7 = 35 ← larger share

Answer:

11

Step-by-step explanation:

How to find the arithmetic mean:

Add all numbers together, and divide by the amount of numbers.

Ans: 15 + 7 = 22

22 ÷ by amount of numbers =

22 ÷ 2 =

11

Ans = 11

Answer:

Round 1350 to decimal form and your answer should be 1.35 kg.

Based on the slope of the line and the y-intercept, when graphed, the points that will appear on the graph will be:

The equation of a line takes the form:

y = mx + b

m = slope

b = y - intercept

This line would therefore take the equation form:

y = - 3x + 2

When graphed, the graph would be as attached.

As shown by the graph, the points that will appear include:

(0 , 2) (1 , - 1)

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∠I ≅∠L

1) Given that the triangles are similar, then we can write:

Notice that the sides are proportional to k=3/2.

2) Since we need to prove that these triangles are similar under SAS -Side, Angle Side, examining the picture we can state that one of their corresponding angles are congruent so

3) Having one of these angles as congruent would fit to prove that these triangles are similar by SAS similarity.

Answer:

∠I ≅∠L

Step-by-step explanation:

Answer: The identity property of multiplication states that multiplying a number by one will result in the original number. 1 * x = x

Step-by-step explanation:

a)

12 +15 = 3 *9

27= 27

1

B) 15=15

=1

c) 3*20=12*5

60=60

=1

d)  4=4

=1

Answer:

x ≈ 3.33

Step-by-step explanation:

given y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y = 6 , x = 10

6 = [tex]\frac{k}{10}[/tex] ( multiply both sides by 10 )

60 = k

y = [tex]\frac{60}{x}[/tex] ← equation of variation

when y = 18 , then

18 = [tex]\frac{60}{k}[/tex] ( multiply both sides by k to clear the fraction )

18k = 60 ( divide both sides by 18 )

k = [tex]\frac{60}{18}[/tex] ≈ 3.33 ( to 3 significant figures )

The people who waited in line for the new roller coaster that day is 9215?

From the information, forty two percent of the people wanted to ride the new roller coaster and twenty-three percent of those people decided not to ride the coaster because the line was too long.

The percentage of those who waited will be:

= 42% - 23%

= 19%

Since there were 48,500 people at an amusement park on Monday, those who waited will be:

= Percentage × Total number

= 19% × 48,500

= 9215

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Answer:

+ 9

Step-by-step explanation:

x²+ 6x

to complete the square

add ( half the coefficient of the x- term )² to x² + 6x

x² + 2(3)x + 3²

= x² + 6x + 9

= (x + 3)² ← a perfect square

The function is given below

What is a function?

The value of a function f at an element x of its domain is indicated by f(x); the numerical value resulting from the function evaluation at a given input value is expressed by substituting x with this value; for example, the value of f at x = 4 is denoted by f(x) (4). When the function is not named and is represented by an expression E, the function's value at, say, x = 4 can be expressed by E|x=4. In science, engineering, and the bulk of the mathematical disciplines, functions are commonly used. Functions are claimed to be "the central objects of research" in most branches of mathematics.

The given function is

f(x) = x - 6/2

The function in gf is

g{f(x)} = √(x - 6/2) - 4

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The value of the required composite function is [tex]g(f(x))=\sqrt{x-\frac{6}{2} } -4[/tex].

What is a composite function?

When the result of one function is utilized as the input for another, a composite function is created.

Given that:

[tex]f(x)=x-\frac{6}{2}[/tex] and [tex]g(x)=\sqrt{x}-4[/tex]

To find the composite function [tex]g(f(x))[/tex], it is required to use the output of the first function as the input of the second function. It means that replace [tex]x[/tex] by  [tex]f(x)[/tex]  in the second function as:

[tex]g(x)=\sqrt{x}-4\\g(f(x))=\sqrt{f(x)}-4[/tex]

Now, substitute the value of  [tex]f(x)[/tex] on the right side of the above equation as:

[tex]g(f(x))=\sqrt{x-\frac{6}{2}}-4[/tex]

Hence, the required answer is:

[tex]g(f(x))=\sqrt{x-\frac{6}{2}}-4[/tex]

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The Null hypothesis will be expressed as u = 0.79 whereas the Alternative hypothesis will be expressed as. u > 0.79

The null hypothesis (H0) may be used to show that there exists no significant variation between variables or that a single variable is not different than its mean. While an alternative Hypothesis (Ha) is a theory that attempts to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean. According to the question we can say that the

Null hypothesis (H0): u = 0.79

Alternative hypothesis (Ha): u > 0.79

Where u may be called as the proportion of their reader that owns a personal computer.

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The sampling strategy used in this problem is an example of:

Sampling is when a subset of an entire population is studied, to verify whether characteristics of the sample can be expanded to the entire population.

The sample has to be representative of the population, that is, large enough, hence it should contain all the subsets of the population.;

In the context of this problem, the chain sees about 500 customers a week and they receive the responses from 50 of them. This is a not large enough sample size, hence it could cause biased results, meaning that the perspective of the entire population will not be considered.

In the context of this problem, the survey are anonymous, and the objective of a survey is generally not to reward the participants, hence the last two options are false.

The options are given as follows:

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Answer:

C

Step-by-step explanation:

8.5 - 5.6666= 2.83

Answer:

C. 2 5/6

Step-by-step explanation:

8 1/2 - 5 2/3    1. convert mixed numbers into an improper fraction

17/2 - 17/3       2. convert fractions into 2 numbers that can be subtracted

51/6 - 34/6      3. subtract

17/6                 4. convert to mixed number

2 5/6