A car salesman earns a base salary plus commission for every car he sells. The expression shows the amount a salesperson earns, if he sells x cars in a month.2,000 + 1,000x

How much does he earn for each car sold?

A) $0
B) $1,000
C) $2,000
D) $3,000

Answers

Answer 1
Answer:

The answer is 2,000.

Answer 2
Answer: The car salesman makes a base salary of $2,000. He also gets $1,000 for every car he sells. And it asks us, "How much does he earn for each car sold?"
 
The variable x is how many cars he sold. In this one.

Now the equation is this: 2000 + 1000(1)
Now solve.
2000 = 1000(1) = 2000 + 1000 = 3000

So our car salesman would have made $3,000 in a month.

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Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank.

Answers

Final answer:

Considering a gas tank's full capacity of 14.5 gallons, after using 1.5 gallons, subtract this from the initial amount to find how much gasoline remains. This leaves us with an inequality 0 ≤ G ≤ 13, where G represents the gasoline left in the tank.

Explanation:

The subject of this question is the calculation of quantities in everyday life, specifically in regards to gasoline use for a car. We start with an initial total fuel capacity of 14.5 gallons. We then subtract the amount of fuel used for a trip to the grocery store, which is 1.5 gallons. This subtraction operation shows how much gasoline remains in the tank.

Step-by-step, the solution could be described like this:

  • Establish the maximum capacity of the gas tank, which is given as 14.5 gallons.
  • Account for the fuel used on the trip, in this case, 1.5 gallons.
  • Subtract the used fuel from the tank's capacity. This would be 14.5 gallons - 1.5 gallons = 13 gallons.

Therefore the inequality representing the amount of gasoline left in the gas tank is 0 ≤ G ≤ 13, where G is the amount of gasoline left in the tank.

Learn more about Inequality here:

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What is the midpoint of the line segment with endpoints (3.5, 2.2) and (1.5, –4.8)?

Answers

Answer:

A midpoint is a point on a line segment that divide the segment into two equal segments.

Formula for finding midpoint with any two endpoints is;

(x, y) = ((x_1+x_2)/(2) , (y_1+y_2)/(2) )

Given two end points:

(3.5 , 2.2) and (1.5 , -4.8).

Let P(x, y) be the midpoint of (3.5 , 2.2) and (1.5 , -4.8).

By midpoint formula we have;

(x, y) = ((3.5+1.5)/(2) , (2.2-4.8)/(2) )

(x, y) = ((5)/(2) , -(2.6)/(2) )

Simplify:

(x, y) = (2.5 , -1.3)

Therefore, the midpoint of the line segment with given endpoints is, (2.5, -1.3)


X₁ + X₂ / 2   & Y₁ + Y₂ / 2 ------------- This is the formula to plug in the coordinates.


3.5 + 1.5 / 2= 2.5      2.2 + (-4.8) / 2= -1.3

Answer = (2.5,-1.3)

The points (-5, -14) and (4, r) lie in a line with slope 4. Find the missing coordinate r.

Answers

Answer: r = 22

Step-by-step explanation:

    To answer this question, we can create a point-slope form equation.

         y - y1 = m(x - x1)

         y - r = 4(x - 4)

         y - r = 4x - 16

         y = 4x - 16 + r

    Then, we will substitute the given point to solve for r.

         y = 4x - 16 + r

         (-14) = 4(-5) - 16 + r

         (-14) = -20 - 16 + r

         -14 = -36 + r

         22 = r

Find 10.5 in plus 7.35 in and use the correct number of significant digits in the sum

Answers

I don't really understand what is your question saying but the answer is 17.85, the work is the following:

     10.50
  + 07.35
________
     17.85

after 3/4 of a minute a sloth has moved just 3/8 of a foot. what is the sloths speed on feet per minute.

Answers

V=(s)/(t),where\ V-speed,\ s-distance\ ,t-time\n\nv=((3)/(8))/((3)/(4))=(3)/(8)*(4)/(3)=(4)/(8)=\n\n0,5(feet)/(minute)\n\nSpeed\ is\ equal\ to\ 0,5(feet)/(minute).

Answer:

V=\frac{s}{t},where\ 
V-speed,\ s-distance\ ,t-time\\\\
v=\frac{\frac{3}{8}}{\frac{3}{4}}=\frac{3}{8}*\frac{4}{3}=\frac{4}{8}=\\\\0,5\frac{feet}{minute}\\\\
Speed\ is\ equal\ to\ 0,5\frac{feet}{minute}.

Step-by-step explanation:

362. Найдите корень уравнения:-
1) 0,4x (5x – 6) + 7,2 = 2x (x + 0,6);
2) x (3x+2)-9 (x²-7x)=6x (10-x);
3) 12 (x³ - 2) -7x (x² − 1) = 5x³ +2x+6.

Answers

Answer:

Давайте рассмотрим каждое уравнение по очереди:

Уравнение: 0.4x(5x - 6) + 7.2 = 2x(x + 0.6)0.4x(5x−6)+7.2=2x(x+0.6)

Раскроем скобки:

2x^2 - 2.4x + 7.2 = 2x^2 + 1.2x2x

2

−2.4x+7.2=2x

2

+1.2x

Теперь выразим все в одну часть уравнения:

-2.4x + 7.2 = 1.2x−2.4x+7.2=1.2x

3.6x = 7.23.6x=7.2

x = 2x=2

Уравнение: x(3x+2) - 9(x^2 - 7x) = 6x(10 - x)x(3x+2)−9(x

2

−7x)=6x(10−x)

Раскроем скобки:

3x^2 + 2x - 9x^2 + 63x = 60x - 6x^23x

2

+2x−9x

2

+63x=60x−6x

2

Теперь выразим все в одну часть уравнения:

3x^2 - 9x^2 + 2x - 63x - 60x + 6x^2 = 03x

2

−9x

2

+2x−63x−60x+6x

2

=0

-3x^2 - 59x = 0−3x

2

−59x=0

x(-3x - 59) = 0x(−3x−59)=0

Отсюда получаем два возможных значения xx: x = 0x=0 или x = -\frac{59}{3}x=−

3

59

.

Уравнение: 12(x^3 - 2) - 7x(x^2 - 1) = 5x^3 + 2x + 612(x

3

−2)−7x(x

2

−1)=5x

3

+2x+6

Раскроем скобки:

12x^3 - 24 - 7x^3 + 7x = 5x^3 + 2x + 612x

3

−24−7x

3

+7x=5x

3

+2x+6

Теперь выразим все в одну часть уравнения:

5x^3 - 2x^3 + 7x - 2x - 24 - 6 = 05x

3

−2x

3

+7x−2x−24−6=0

3x^3 + 5x - 30 = 03x

3

+5x−30=0

Это уравнение не имеет очевидного решения, поэтому придется использовать численные методы для его решения.