5 less than a number is equlvalent to 1 more than three times the number what is the number

James can earn $1287 for a month, if the commission rate is 2.2%.

The word "percent" comes from the Latin per centum, which means "hundred" or "by the hundredth." The symbol for "percent" emerged gradually from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and eventually vanished. The "cento" symbol was simplified to two circles divided by a horizontal line, from which the contemporary "%" symbol was formed.

The abbreviation "pct.", "pct," and sometimes "pc" are also used. A % is a dimensionless (pure) number with no unit of measurement.

Given,

James is a timeshare salesman. He made $58,500 in sales last month.

Also given that commission rate for James is 2.2%

58500×2.2%

=58500×(2.2/100)

=585×2.2

=$1287

Therefore, James can earn $1287 for a month.

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Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

1/10 times 1/10 is 1/100

Step-by-step explanation:

this is the same as 0.1

The product when you multiply tenths by tenths will become hundredths.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

For instance, since the challenge asks us to determine one-tenth of eight-tenths, 0.1 x 0.8 = 0.08 One tenth of eight-tenths equals eight hundredths because a tenth (or a tenth repeated by a tenth) is equal to a hundredth.

Repeated addition is what multiplication is. Put a 0 at the end of the number when combining whole numbers by 10.

The product when you multiply tenths by tenths will become hundredths.

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Answer: (1 11/12)(x2)

Step-by-step explanation: hope this helps!

Answer:

The answer is 43°

Step-by-step explanation:

137+137+x+43=360°

x+317=360

x=360-317

x=43°

Answer:

the solution set is -11 > 1 + a?

a > -10

a -12

a < -10

Given:

The expression is:

\(p^3\cdot p^2\cdot p\)

To find:

The value of the given expression.

Solution:

We have,

\(p^3\cdot p^2\cdot p\)

According to the product property of exponents,

\(a^m\cdot a^n=a^{m+n}\)

Using the product property of exponents, we get

\(p^3\cdot p^2\cdot p=p^{3+2+1}\)

\(p^3\cdot p^2\cdot p=p^{6}\)

Therefore, the value of given expression is \(p^6\).

Answer:

C π/2

Step-by-step explanation:

Amplitude: 1

Period: π2

Phase Shift: None

Vertical Shift: None

The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments

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

The table of values

For the membership application, we have the following features

So, the function is

f(x) = 600 - 10x

For the membership available, we have the following features

So, the function is

g(x) = 20/3x

So, the functions are f(x) = 600 - 10x & g(x) = 20/3x

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Answer:

30

Step-by-step explanation:

6(3 + 2) + (8 - 2 × 4)

Always apply the law of BIDMAS when solving an expression

6(3 + 2)

18 + 12

30

(8 - 2 × 4)

= 8

8 - 8 = 0

30 + 0 = 30

x⁴ - 8x² + 17 is the function that represents the fog(x).

To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):

g(f(x)) = g(x² - 4)

Now, we can substitute the expression for g(x) into the above expression:

g(f(x)) = (x² - 4)² + 1

Expanding the squared term, we get:

g(f(x)) = x⁴ - 8x² + 17

Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.

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Complete question:

f(x) = x² - 4 and g(x)= x^2 + 1  find fog(x).

Answer:

x-(-1)=6

-x=6

-x/-1 6/-1

x=-6

Answer:

Therefore, the solution of the system of equations will be:

\(x=5,\:y=-1\)

Step-by-step explanation:

Given the system of equations

\(x-y=6;\:y=-1\)

solving

\(\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}\)

\(\mathrm{Subsititute\:}y=-1\)

\(\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}\)

\(\begin{bmatrix}x+1=6\end{bmatrix}\)

Isolate x for \(x+1=6\)

\(x+1=6\)

\(x=5\)

Therefore, the solution of the system of equations will be:

\(x=5,\:y=-1\)

The inequality that represents p, the number of people the theater can seat is p ≤ 25

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

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Answer:

0.56

Step-by-step explanation:

Since 1/10 is 0.1 as a decimal you will then change it to 5.6 x 0.1 which would equal 0.56

Hope this helps :)

Answer:

5.6×1/10=0.56

Hope that helps

Have a good day :)

Answer:

study :)

Step-by-step explanation:

Answer:

20200

Step-by-step explanation:

As you're in a hurry, I can give it later? xx

Answer:

Perpendicular = 1

parallel = -1

Step-by-step explanation:

Parallel -  you must have the same slope, so it is -1

then, for a perpendicular line, the slope is the opposite, so 1

Answer: $35x 12= $420 so that's for the remaining 12 months. $420+ 75=$495. The next step is to multiply $25 and 6. $25x6= $150.

$495+$150= $645 per month.

Step-by-step explanation:

Answer:

it is 5xy........................

Answer:

so X x 5 x y

that would equal 5xy

hope this helped

Step-by-step explanation:

The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

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The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept

From the information given,

m = - 3

c = 4

The equation would be

y = - 3x + 4

Answer:

Measure of third angle = 80°

Step-by-step explanation:

Property of an isosceles triangle,

Opposite angles of the equal sides of an isosceles triangle are equal in measure.

Since, base angles of an isosceles triangle are equal,

(3x + 2) = (5x - 30)

5x - 3x = 2 + 30

2x = 32

x = 16

Now measure of the base angles will be = (3×16) + 2 = 50°

Let the measure of third angle = y°

Since, sum of interior angles of a triangle = 180°

50° + 50° + y° = 180°

y + 100 = 180

y = 80°

Therefore, measure of third angle is 80°.

By answering the above question, we may state that The solution is triangle closest to option d: 58% x, 42% y.

A triangle is a polygon because it contains four or more parts. It features a simple rectangular shape. A triangle ABC is a rectangle with the edges A, B, and C. When the sides are not collinear, Euclidean geometry produces a single plane and cube. If a triangle contains three components and three angles, it is a polygon. The corners are the points where the three edges of a triangle meet. The sides of a triangle sum up to 180 degrees.

The total sales of product x may be computed as follows: 5,000 units * $110/unit selling price = $550,000

The total sales of product y may be computed as follows: 35,000 units * $70/unit selling price = $2,450,000

The total sales of both goods are as follows: $550,000 + $2,450,000 = $3,000,000

Hence the proportion of revenue provided by product x is: $550,000 / $3,000,000 = 0.1833 or 18.33%

And the proportion of sales produced by product y is: $2,450,000 / $3,000,000 = 0.8167 or 81.67%

As a result, Rusty Co.'s sales mix was 18.33% x and 81.67% y last year.

The solution is closest to option d: 58% x, 42% y.

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Answer:yes

Step-by-step explanation:

We can start by finding the equation of the line passing through the given points. Using the point-slope form of the equation of a line, we have:

y - y1 = m(x - x1)

y - (-1) = (1 - (-1)) / (-4 - (-3)) * (x - (-4))

y + 1 = 2(x + 4)

y = 2x + 9

The graph of the line passes through the points (-4, -1), (-3, 1), (-2, 3), (-1, 5), (0, 7), and so on.

To find the equation of the function g(x) = f(x+3), we can substitute x+3 for x in the equation of the line, which gives:

y = 2(x+3) + 9

y = 2x + 15

This is the equation of a line with slope 2 and y-intercept 15. We can use this equation to answer the questions:

The value of g(-5) is 3:

To find g(-5), we substitute x = -5 into the equation of g(x):

g(-5) = 2(-5) + 15 = 5

Therefore, the statement "The value of g(-5) is 3" is false.

The value of g(-1) is 2:

To find g(-1), we substitute x = -1 into the equation of g(x):

g(-1) = 2(-1) + 15 = 13

Therefore, the statement "The value of g(-1) is 2" is false.

The x-intercept of g(x) is to the left of the x-intercept of f(x):

The x-intercept of f(x) is approximately (-4.5, 0). To find the x-intercept of g(x), we set y = 0 in the equation of g(x):

0 = 2x + 15

x = -7.5

Therefore, the x-intercept of g(x) is to the left of the x-intercept of f(x), and the statement "The x-intercept of g(x) is to the left of the x-intercept of f(x)" is true.

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Answer:

We can solve this problem using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs (the sides adjacent to the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).

Let's let "h" be the height of the tree before it broke, and "x" be the distance from the base of the tree to where it broke. Then, we can set up the following equation using the Pythagorean theorem:

h^2 = x^2 + (h-7)^2

We also know that the top of the tree rests 23 feet from the base of the tree, so we can set up another equation:

x + 23 = h

Now we have two equations with two unknowns, which we can solve simultaneously. Rearranging the second equation, we get:

x = h - 23

Substituting this into the first equation, we get:

h^2 = (h-23)^2 + (h-7)^2

Expanding the squares and simplifying, we get:

0 = -46h + 552

Solving for h, we get:

h = 12

Therefore, the height of the tree before it broke was approximately 12 feet. Since none of the answer choices match this result, we cannot cross out any of the choices.

The proof that line n is perpendicular to both a and b is proved below using definition of right angle and perpendicular transversal theorem.

We are given that;

Line a is parallel to line b

Line m is parallel to line n.

A) We want to prove that line a is perpendicular to n.

From the image, we see that there is a right angle sign on the opposite side of ∠1 facing m.

Now, we know that by definition of a right angle that ∠1 will also be a right angle.

Since angle 1 is a right angle, then we can say the line transversal a is perpendicular to line m.

B) We want to prove that line b is perpendicular to n.

The definition of the perpendicular transversal theorem, states that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Thus, b will be perpendicular to n.

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Answer:

Hotdogs are $12.00 for the dozen or $1.00 each

Bratwursts are $18.00 for the dozen or $1.50 each

Step-by-step explanation:

Answer: 11/23

Step-by-step explanation:

I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.

The largest fraction will be 11/23.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

All the fractions are,

⇒ 9/19, 5/11, 7/15, and 11/23

Now,

Since, All the fractions are,

⇒ 9/19, 5/11, 7/15, and 11/23

Here, The values are,

⇒ 9 /19 = 0.47

⇒ 5/11 = 0.45

⇒ 7/15 = 0.46

⇒ 11/23 = 0.48

Thus, The largest value of the fraction = 11/23

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Answer:

3x-9

Step-by-step explanation:

Answer:

does this help?........