A company needs earnings of greater than $3000 this month.

The company will earn $2400 from existing customers this month. The company will earn $125 PER new customer this month.
Which inequality represents this situation?
1. 2400x + 125 > 3000
2. 2525x > 3000
3. 2400 + 125x > 3000

Answer:

B is the answer

Step-by-step explanation:

Distribute and Combine Like Terms

Step-by-step explanation:

3(7/5x + 4)-2(3/2-5/4x)

21/5x + 12 - 3 + 5/2*

21/5x + 5/2 + 12 - 3

67/10x + 9

the correct answer is b

Answer:

see explanation

Step-by-step explanation:

(a)

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180° for B

∠ B = 180° - (90 + 63)° = 180° - 153° = 27°

(b)

Using the sine ratio in the right triangle

sin63° = \(\frac{opposite}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{15}{x}\) ( multiply both sides by x )

x × sin63° = 15 ( divide both sides by sin63° )

x = \(\frac{15}{sin63}\) ≈ 16.8 ( to 1 dec. place )

(c)

Using the tangent ratio in the right triangle

tan63° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{15}{y}\) ( multiply both sides by y )

y × tan63° = 15 ( divide both sides by tan63° )

y = \(\frac{15}{tan63}\) ≈ 7.6 ( to 1 dec. place )

Answer:

Factored is 3(3x+1)

Simplified is 9x+3

I'm not sure which one you need.

Answer:

2/9 ; 4/9

Step-by-step explanation:

______SPINNER A_____

_____ 2 ____ 4 _____ 6

1 ____ 2 _____4 _____6

3____ 6 _____12____ 18

5____10_____20____30

4 * 3 = 12 ; 5 * 2 = 10 ; 5 * 6 = 30

Probability of scoring a total of 6 :

From the sample space ; Number of 6's = 2

Total sample space = 9

Recall : probability = required outcome / Total possible outcomes

P(total of 6) = 2 / 9

P(total greater than 10) :

Required outcome ; > 10 = (12, 18, 20, 30) = 4

P(total > 10) = 4 / 9

Step-by-step explanation:

b) what is the probability of scoring a total of 6?

b) = 2/9

C) what is the probation scoring a total greater than 10

c)= 3/9

Answer:

30 degrees

Step-by-step explanation:

(75 degrees x 2) = 150 degrees

180 degrees - 150 degrees = 30 degrees

angle 1 = 30 degrees

Answer:

7,8

Step-by-step explanation:

Distance Formula:

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:

d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Calculate Distance

To calculate the distance between 2 points, (X1, Y1) and (X2, Y2), for example, (5, 6) and (-7,11), we plug our values into the distance formula:

d=(−7−5)2+(11−6)2−−−−−−−−−−−−−−−−−√

combining terms inside parentheses we get:

d=(−12)2+(5)2−−−−−−−−−−−√

squaring both terms we get,

d=144+25−−−−−−−√

adding the 2 results,

d=169−−−√

finally,

d=13

Answer:

B. 1800 degrees.

Step-by-step explanation:

Just took the quiz on Edg (2020-2021)!!

answer: -1 17/20

work is in the picture hope this helps

Answer (different ways to say):

1  and 17/20

37/20

1.85

Step-by-step explanation ^in my own words^:

Combine the whole numbers and fractions together, then find the least common multiple (LCM) of 5 and 4 is 20. (5 x 4) Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM. After doing that: Now that the fractions have like denominators, subtract the numerators. Put the whole number and fraction together and you get your answer

The constraint(s) to ensure that the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is:

3X3 <= 4X2

This constraint states that the number of 3 bedroom rentals (X3) must be less than or equal to four times the number of 2 bedroom rentals (X2). This ensures that the ratio of 3 bedroom rentals to 2 bedroom rentals does not exceed 4 to 1.

For example, if there are 10 2 bedroom rentals (X2), the constraint would be:

3X3 <= 4(10)
3X3 <= 40

This means that the number of 3 bedroom rentals (X3) cannot exceed 40.

The constraint to ensure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is 3X3 <= 4X2.

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The time that it will take a group of 4 workers to do the same job, if each worker performs at the same rate is D. 15.

It should be noted that an expression simply illustrates the relationship between the variables that are given.

In this case, the group of 3 workers needs 20 days to do a certain job. Let the time taken for the 4 workers be x. This will bee illustrated as:

3/4 = x/20

Cross multiply.

4x = 3 × 20

4x = 60

Divide

x = 60 / 4

x = 15

They will use 15 days to to the job.

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Answer:

about 83

Step-by-step explanation:

The equation that provides the number of years since the car was purchased in terms of its value is (v/2000) - 8.5

In algebra questions, values that are ambiguous or subject to change are represented by letters or symbols.

When it comes to solving for an unknown variable, algebra becomes very useful.

For example, how much money will I save if item retailing for $20 is offered at a 10% discount?

Savings = Full Price * Discount = $20 * 10% = $2

or I spent $30 on items, with each item costing $5, how many items should I have?

Total = No. Items * Item Price

$30 = No. Items * $5

No. Items = Total / Item Price

No. Items = 6

Let the number of years = t

v = 17000 - 2000t

Value = 17000 by row/year

(v - 17000)/2000 = t

Therefore,

t = (v/2000) - 8.5

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Answer:

Chesa will make 4 gallons of soup this year.

Step-by-step explanation:

If you multiply 32 times 2 you will get 64. You then find out how many cups are in a gallon. If 16 cups are in a gallon, you then divide 64 by 16. Your answer should be 4.

Answer:

Chesa will make 4 gallons of soup this year.

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

P(B) is given to you in the question.

Answer:

Somewhere between three months and six months of basic living expenses in your emergency fund.

Average Monthly Expenses

$1,000.00

Existing Liquid Savings (Excluding Retirement)

$2,500.00

Easy: Three months, Average: Six months, Difficult: Nine months, Very Difficult: 12 months

The boats are approximately 9.4 units apart.

To find the distance between two points in a coordinate plane, we can use the distance formula:

distance =\(\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

Using this formula, we can find the distance between Boat A at (4.2, -2) and Boat B at (-5.2, -2):

distance = \(\sqrt{((-5.2 - 4.2)^2 + (-2 - (-2))^2)}\)

distance = \(\sqrt{((-9.4)^2 + (0)^2)}\)

distance =\(\sqrt{(88.36)}\)

distance ≈ 9.4

Therefore, the boats are approximately 9.4 units apart.

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The value of cosθ is 24/25

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

cosθ = adj/hyp

sinθ = opp/hyp

Tanθ = opp/adj

This ratio is only applicable to right angle triangle.

In the triangle taking the acute angle as a reference, the opposite side to the angle is 7 and the adjascent is 24 while the hypotenuse is 25

Therefore ;

cosθ = adj/hyp

= 24/25

Therefore the value of cosθ is 24/25

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Answer:

44

Step-by-step explanation:

* means multiply

put 8 where the x is

6 * 8 - 4

48 - 4

44

Answer:

3

Step-by-step explanation:

92x0.2=18.4

18.4 is between 15 and 20

(i × j) × k = 0, is the vector, not with determinants, but by using properties of cross products.

The procedure for multiplying two vectors is called the cross product of the two vectors. The sign(×) of multiplication between two vectors indicates a cross product. It is a three-dimensional system-defined binary vector operation.

A cross product in three dimensions is a binary operation on two vectors. It generates a vector that is parallel to both vectors. A and B together form a vector product, which is represented by the symbol a b. The vector that results from it is parallel to both a and b. Cross products and vector products are similar terms.

As we know,

i × j = | i | × | j | × sin 90° × k

or, i × j = 1 × 1 × 1 × k

or, i × j = k

thus,  (i × j) × k = k × k

or,  (i × j) × k = 0

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when a = 6 and b = 3.60555, the value of c is approximately 7, according to the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we are given the lengths of the two sides, a = 6 and b = 3.60555. We need to find the length of the hypotenuse, which is denoted by c.

Applying the Pythagorean theorem, we have:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\)

Substituting the given values, we get:

\(c^{2}\) = 36 + \(3.60555^{2}\)

Simplifying the equation:

\(c^{2}\) = 36 + 13.014

\(c^{2}\) = 49.01

To find the value of c, we take the square root of both sides:

c = √49.014  , c ≈ 7

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First, we can use the points (4,3) and (20,15) to find the slope of the line:

Now we can find the relation function using the point (4,3) and the slope s=3/4

therefore, the equation to describe the relationship between J and M is m=3/4j

so basically i dont know

In a class of 50 students, there are 365! / 315! ways that no two students will have the same birth date.

The total number of outcomes of two or more independent events equals the product of the number of outcomes of each individual event, according to this concept. A youngster, for example, who chooses six flavors of ice cream and three types of cones will have 6 x 3 = 18 distinct icecream options. According to the fundamental counting principle, if there are p ways to do one thing and q ways to do another, then there are pq ways to accomplish both.

Here,

There are 365 ways to choose the first student's birth date, 364 ways to choose the second student's birth date (since it can't be the same as the first student's), and so on, down to 316 ways to choose the 50th student's birth date (since it can't be the same as any of the first 49 students' birth dates).

So, the number of ways to choose the birth dates of 50 students so that no two are the same is,

= 365 × 364 × ... × 316

= 365! / (365 - 50)!

= 365! / 315!

There are 365! / 315! ways that no two students will have the same birth date in a class of size 50.

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Answer:

Step-by-step explanation:

6x-10=20

6x=20+10

x=30/6

x=5

to prove 6x-10=30

substitute the value of x

6x-10

6*5-10

30-10

20

20=20  hence proved.

The solution for x + 3 is greater than or equal to 2x - 6 is x ≤ 9.

Given,

x + 3 is greater than or equal to 2x - 6

That is,

x + 3 ≥ 2x - 6

Solve for x in this solution.

So,

x + 3 ≥ 2x - 6

Here,

6 + 3 ≥ 2x - x

Then,

9 ≥ x

That is,

The solution for x + 3 is greater than or equal to 2x - 6 is x ≤ 9.

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Answer:  x ≥ 4.50

Because the cost is at least $4.50 per pound