Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years

Answer:

[tex]x=6/13[/tex]

Step-by-step explanation:

So we have:

[tex]\frac{2}{3}x+\frac{3}{7}=1-\frac{4}{7}x[/tex]

Remove all the fractions to make things simpler. To do so, we can multiply by the LCM of the denominators.

The denominators are 3 and 7.

The LCM of 3 and 7 is 21. Thus, multiply everything by 21:

[tex]21(\frac{2}{3}x+\frac{3}{7})=21(1-\frac{4}{7}x)[/tex]

Distribute:

[tex]\frac{42}{3}x+\frac{63}{7}=21-\frac{84}{7}x[/tex]

Simplify the fractions:

[tex]14x+9=21-12x[/tex]

Add 12x to both sides:

[tex]26x+9=21[/tex]

Subtract 9 from both sides:

[tex]26x=12[/tex]

Divide both sides by 26:

[tex]x=12/26[/tex]

Reduce:

[tex]x=6/13[/tex]

And that's our answer :)

Answer: x = 6/13

find the common denominator (21);

14/21x + 9/21 = 21/21 - 12/21x

move your variable to one side and your constants to the other:

26/21x = 12/21

multiply all by 21/26 to get a lone x:

x = 12/26

simplify:

x = 6/13

Answer:

1. His percentage score is 65%

Answer:

The quotient of 4 and 9 raised to the power of r.

Step-by-step explanation:

The verbal translation of  [tex]r^{\frac{4}{9} }[/tex]  is r to the power four-tenths.

Given,

[tex]r^{\frac{4}{9} }[/tex]

We have a number r with power 4 / 9.

we need to translate it into verbal form.

If a number is expressed in this form - [tex]A^{B}[/tex]

A = base and B = exponents.

We can say that a number has base A with exponents B.

There are many ways to verbally express a given number.

Example:

3 / 2 = 3 divide by 2.

[tex]6^{2}[/tex] = six to the power two.

3 x ( 3 + 2 ) = three multiplied with the addition of three and two.

7 x [tex]8^{3}[/tex] =  seven multiplied by 8 to the power three.

[tex]3^{\frac{1}{7} }[/tex] = three to the power of one-tenths.

We are given,

     [tex]r^{\frac{4}{9} }[/tex]

We can say that the base is r and the exponent is 4/9.

or

we can also say r to the power four-tenths.

Thus the verbal translation of  [tex]r^{\frac{4}{9} }[/tex]  is r to the power four-tenths.

Learn more about verbal translation here:

https://brainly.com/question/16713965

#SPJ2

Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  2

Answer:

x=2

Step-by-step explanation:

7/8(-32)-7/8(48x)+36=2/3(-33x)-2/3(18)-10x  

= -224/8-336x/8+36

=-66x/3-36/3-10x.  

Simplifying the fractions

-28-42x+36=-22x-12-10x.  

Combining like terms

-42x+8=-32x-12.  

Add 32x to both sides:  

-42x+8+32x=-32x-12+32x

-10x+8=-12.  

Subtract 8 from both sides:  

-10x+8-8=-12-8

-10x=-20.  

Divide both sides by -10:  

-10x/-10 = -20/-10

x=2.

Answer:

y = [tex]\frac{4}{5}[/tex] x + 2

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 )

Here m = [tex]\frac{4}{5}[/tex] , thus

y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = [tex]\frac{4}{5}[/tex] x + 2 ← equation of line in slope- intercept form

Answer:

11 cm, 11 cm

Step-by-step explanation:

Let the length and width of the rectangle be x cm and y cm respectively.

Therefore,

Perimeter of rectangle = 44 cm

2(x + y) = 44

x + y = 44/2

x + y = 22...... (1)

Area of rectangle = xy

When length is increased by 4 cm and breadth is increased by 2 cm.

New length = (x + 4) cm

New width = (y + 2) cm

New area of rectangle = original area + 72.. (given)

Therefore,

(x + 4) (y + 2) = xy + 72

xy + 2x + 4y + 8 = xy + 72

2x + 4y = 72 - 8

2x + 4y = 66

2(x + 2y) = 66

x + 2y = 66/2

x + 2y = 33.... (2)

Subtracting equation (1) from equation (2)

x + 2y - (x + y) = 33 - 22

x + 2y - x - y = 11

y = 11

Substituting y = 11 in equation (1)

x + 11 = 22

x = 22 - 11

x = 11

Thus, the dimensions of the rectangle are 11 cm and 11 cm.

Answer:

It would be exactly 99.4194 mph

Step-by-step explanation:

For an for an approximate result, divide the kilometer speed value by 1.609

Answer:

100miles/hour

Step-by-step explanation:

1mile = 1.6km

Answer:

Use a graphing calculator.

Step-by-step explanation:

Use at least 3 points to graph.

Use a graphing calculator

Answer:88%

Step-by-step explanation:

Percent means out of hundred. If you try to find what percentage something is out of a larger number, you multiply the fraction by 100%.

Our fraction in this case is 44/50.

(44/50) × 100% simplifies to (using a common factor of 2) (22/25) × 100% (2 goes into 44 twenty-two times, and into 50 twenty-five times). 100 and 25 share a common factor of 25, so this fraction can further be simplified to (22/1) × 4% (25 goes into itself once, and into 100 four times). 22/1 is the same as 22. 22 × 4% = 88%. And that's your answer.

The answer would be -fg  But, I'm not so sure about the graph so sorry!

Answer:

2 terms

Step-by-step explanation:

Terms are nothing but the mixtures of co-effecients and their variables..

Here, 9a is one term while 11p is the other

Answer:

2

Step-by-step explanation:

9a is a term and 11p is a term.

Answer:

22 minutes

Step-by-step explanation:

The number of minutes and number of people are inversely proportional but the number of people, minutes painted and walls painted are directly proportional. Therefore, it takes 10 people 22 / 10 = 2.2 minutes to paint 1 wall and 2.2 * 14 = 30.8 minutes to paint 14 walls. To find the time it takes 14 people to paint 14 walls, we can set up the following equation:

14 * x = 30.8 * 10 (where x is our answer)

x = 30.8 * 10 / 14 = 22 minutes

Additionally, an easier way to do this is to recognize that 1 person paints 1 wall when 10 people paint 10 walls in 22 minutes so as long as the number of people and walls are the same, it will always take 22 minutes.

Answer:

96

Step-by-step explanation:

.25x + .125x + 24 = 60

.25x + .125x = .375x

.375x + 24 = 60

60 - 24 = 36

.375x = 36

36/ .375

x = 96

Answer:

96

Step-by-step explanation:

I TOOK IT ON EDGGGGGGG

If you meant to say (3x+2)^2, then the answer is 9x^2+12x+4

=============================================

Explanation:

You would use the FOIL rule to get

(3x+2)^2

(3x+2)(3x+2)

(3x)*(3x) + (3x)(2) + 2(3x) + 2*2

9x^2 + 6x + 6x + 4

9x^2 + 12x + 4

Answer:

104 degrees

Step-by-step explanation:

90 + 54 + 132 = 276

360 - 276 = 104

Answer:

C) -38

Step-by-step explanation:

[tex]-5=y-7/9\\-5+7/9=y-7/9+7/9\\-38/9=y[/tex]

I guess closest answer is C

Answer:

3x-21

Step-by-step explanation:

3(x-7)  you must do distributive property

3x - 21

Answer:

the answer is £833

Step-by-step explanation:

Mary have £5000.

8 friends + Mary = 9 people

flight = £279 × 9

= £2511

accomodation = £184 × 9

= £1656

flight + accomodation = £4167

£5000 - £4167

= £833

Step-by-step explanation:

The mean is the average.

(8.3 + 6.8 + 9.4) / 3

≈ 8.2

Answer:

the third 1 ( his car is slowing down)

Answer:

5x-2y=7

Step-by-step explanation:

Here's a tip: The subtraction symbol in the equation indicates that the line on the graph is slanted to the right; /

And an addition symbol in an equation like this indicates that the line on the graph is slanted to the left; \

This tip will make better sense with simple equations like the ones in the picture or y = mx+b equations.

Answer:

5x-2y=7

Step-by-step explanation:

5x-2y=7

when x=0,then -2y=7,  y=-7/2

when y=0,  5x=7, x=7/5

Answer:

Solution : 600 gallons

Step-by-step explanation:

Let's say that x is the gallons of 90% antifreeze solution. Let's start by converting each percent to decimal form.

90% = 0.9

20% = 0.2

80% = 0.8

Knowing that we have the following set up,

0.9(x) + 0.2(100) = 0.8(x + 100) ⇒ 0.8 is associated with " x + 100 " as it is a mixture of the gallons of the 90% antifreeze solution, and the gallons of the 20% antifreeze solution

We can solve for x in this equation, and receive our solution. This is represented by the following attachment. It proves that there are 600 gallons of the 90% antifreeze solution.

Answer:

Step-by-step explanation:

A conclusion is 2-3 closing sentences to wrap up your essay.  You should start with a transition word, like "To conclude," and then state your controlling idea.  Or, the reason why you are writing this essay.  Then, you need to end with a closing sentence, which is pretty hard to do.  This can be a question or a statement.  If you pick a question, then you need to say something like this:

Why do you think masks and social distancing are effective during these hard times?

If you pick a statement, then it needs to end something like this:

I wonder....

Now, I am going to let you figure this out, because people should learn.  Good luck and I hope this helps!

Answer:

13

Step-by-step explanation:

[tex](4, 6) = (x _1 , y_1) \\ (3, -7) = (x_2 \: y_2) \\ \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } [/tex]

Plug in the given values

[tex]d = \sqrt{(3 - 4)^{2} + ( - 7 - 6)^{2} } \\ d = \sqrt{( - 1)^{2} + {( - 13)}^{2} } \\ d = \sqrt{1 + 169} \\ d = \sqrt{170} = 13.0[/tex]

Greetings from Brasil...

Here is the graphical explanation in the annex.

A = (-4; 3)

B = (3; 2)

(segment BLUE)

After reflection on F(X) we will get the segment GREEN

note that the length M = M and N = N