A café has 60 tables. 35% of the tables have 2 chairs at each table. The remaining 65% of the tables have 4 chairs at each table. How many tables have 4 chairs?

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

So, first we divide the equation by 9 on both sides to get: [tex]\frac{9\left(x+2\right)}{9}=\frac{72}{9}[/tex]

Then, we simplify to get [tex]x+2=8[/tex]

Now, to leave x alone we subtract 2 from both sides ([tex]x+2-2=8-2[/tex]) to get our final answer of [tex]x=6[/tex]

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Answer:

y > - x - 4

Step-by-step explanation:

1) Find the equation of the line

2) The equation of the line is y = - x - 4

3) Identify where the graph is shaded

4) It is shaded above and to the right of the line

5) This means that it is more positive/ greater than the unshaded areas

6) Switch the = sign to > to signify the inequality

7) All done!

Step-by-step explanation:

the delimiter line is going through the points (-4, 0) and (0, -4).

the line function

y = mx + b

m is the slope of the line, b is the y-intercept (the y value when x = 0).

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to another.

so, for the 2 found points :

x changes by +4 (from -4 to 0)

y changes by -4 (from 0 to -4).

the slope m is then

-4/+4 = -1

and the y-intercept is -4 (as explained).

so, the line is

y = -x - 4

and the graphic says that all values greater than our equal to the line values are valid, so

y >= -x - 4

The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).

According to the information presented in the figure, we know the following function:

Hence, the correct form of the regression line is:

[tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D)

The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).

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Answer:

D: logTime=0.699 + 0.500

Step-by-step explanation:

0.699 is the x value which can be found in data under Coef and Constant. The y value can be found under coef and log(length)

Answer:

x=-1/2

Step-by-step explanation:

2x+2=4x+3

-1=2x

x=-1/2

Answer:

-7

Step-by-step explanation:

a=9 a2=2 a3=-5 a4=-12

d = a4-a3 ,a3-a2, a2-a.

so:

d = -12-(-5) =-12+5 =-7

also;

d = -5-2 = -7

and

d= 2-9 =-7

so the common difference is -7

Answer:

-7

Step-by-step explanation:

We know that

Common difference = a2 - a1

=> 9 - 2

=> -7

Answer:

Probability 29%

Step-by-step explanation:

Answer:

65/139

Step-by-step explanation:

Just did this problem

Answer:

  -3+ √3 or -3- √3

Step-by-step explanation:

Answer:

D is correct

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

After doing long division we then know that 2,952 ÷24 = 123

We 1st follow pemdas knowing this we solve the equations in parenthesis 1st

(2,400 ÷ 24) + (480 ÷ 24) + (72 ÷ 24)

2,400 ÷ 24 = 100

480 ÷ 24 = 20

72 ÷ 24 = 3

We can then rewrite the equation as

100 + 20 + 3   We then solve left to right

100 + 20 = 120

120 + 3 = 123

The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:

Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

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Answer:

8

Step-by-step explanation:

The answer is 8 because there are 2 possibilities for each coin you flip heads and tails  so if you flip three coins all at once you get 2*2*2, which equals to 8.

I hope this help!

11/12

Answer:

1. find the least common denominator (LCD) of 2/3, 1/4 in other words, find the Least Common Multiple (LCM) of 3,4

Least Common Multiple (LCM) of 3,4 LCD = 12

Least Common Multiple (LCM) of 3,4 LCD = 122.

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__3 x 4 4x3

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__3 x 4 4x33. Simplify denominators are Now The Same.

8/12 + 3/12

4. join the denominators

__8+3_____

12

5. Answer 11/12

Btw the Lines are Just For Separating numbers.

Answer:

2 years= 12 months

12÷18×100= 66.67%( approx)

2) 20cm=200mm

225÷200×100

=112.5%

Step-by-step explanation:

Answer:

2 years= 12 months

12÷18×100= 66.67%( approx)

Step-by-step explanation:

[tex]sin = \frac{opposite}{hypotenuse} = \frac{3}{5} = 0.6\\\\cos = \frac{adjacent}{hypotenuse} = \frac{4}{5} = 0.66666666666666666666666666666667\\\\tan = \frac{opposite}{adjacent} = \frac{3}{4} = 0.75\\\\hypotenuse = 5[/tex]

HOPE THIS HELPS :)

Answer:

[tex]80+25x\geq 300[/tex]

Step-by-step explanation:

Since she already has 80$ in the account it will be the starting point.

To those 80$ she adds 25$/w.

Since the amount of week is what needs to be determined we'll refer to it as x.

So far we have 80 + 25x.

Now since she only wants to withdraw once she has at least 300$, it means that the amount has to be either equal to 300 or more than 300.

Which gives us [tex]80+25x\geq 300[/tex]

Answer:

y=1.09x

Step-by-step explanation:

Answer:

4.62 cm to nearest hundredth.

Step-by-step explanation:

If the parallel sides are x and y then:

x + y = 2*8 = 16

x + y = 16

If we drop a perpendicular line from one of the upper points on the trapezoid we have the height.  Let the upper point be C and the point on the base be A. Let the point on right of the base be B.

AC is the height of the trapezoid.  AB is the baseline of the triangle CAB.

In triangle CAB the angle B is 30 degrees.

As this is a 30-60-90 degree triangle

AC/AB = 1/√3 so AC = AB/ √3.

As the trapezoid is isosceles:

AB = x + 0.5(y - x)

AB = 0.5x + 0.5y

So AC = 1 /√3 (0.5x + 0.5y)

           = 1 /√3 (0.5x + 0.5(16 - x))   (Substituting for x)

            = 1 /√3 (0.5x + 8 - 0.5x)

             =8 / √3    

.              = 4.6188 cm

Answer:

a) x+3x/2y or (3x+2xy)/2y

b) b^12

c) 4^3 or 64

Step-by-step explanation:

we need the image to solve the problem

Answer:

  b.  256 m²

  d.  324 cm²

  f.  35 in²

Step-by-step explanation:

The shaded area is the difference between the areas of the outer rectangle and the inner one:

  A = (24 m)(12 m) -(8 m)(4 m) = 288 m² -32 m² = 256 m²

__

The steps are all the same height and width. Their height is (18 cm)/3 = 6 cm, so the height of the middle step is 2×6 cm = 12 cm. The area of the figure will be the product of the base and the average step height:

  A = (27 cm)(12 cm) = 324 cm²

You might be able to visualize this as cutting off the top step even with the middle on and placing it on top of the bottom step.

__

The triangle area formula applies.

  A = 1/2bh = 1/2(4" +10")(5") = 35 in²

_____

Additional comment

The formula for area of a rectangle is ...

  A = LW . . . . . the product of length and width

Answer: 240 gumdrops

Step-by-step explanation:

1 house: 15 gumdrops

16 houses : 240 gumdrops

1 x 16 = 16

15 x 16 = 240

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x-4)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x+4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x+4  = 0 and calculate its properties

Step-by-step explanation:

Answer:

8,5

Step-by-step explanation:

BC=AD-AB

BC=10,5-2

BC=8,5

The equation of the distance of the plane from the city in Ecuador is a

linear  equation that has a constant rate of change.

Reasons:

The equation that estimates the distance of the plane from the city in

Ecuador is d = 2565 - 500·t

Where;

d = The distance in miles from the city in Ecuador

t = The time in hours after taking off from the city in Pennsylvania

Required:

The meaning of -500 in the context of the problem.

Solution:

By using dimensional analysis, we have;

Given that d is in miles and t is in hours, 2,565 is in miles, and 500 × t is in

miles.

Therefore, -500 is in miles per hour, which is the speed of the plane.

The -500 therefore, in the context, is the number of miles, the rate, by

which the plane becomes closer to the city in Ecuador every hour.

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We can  analice through a  dimensional evaluation, every term in any equation.

Solution is:

The term - 500 × t

represents, the quantity of miles travel in the time t

Looking carefully each term in the equation:

d = 2565 - 500×t

And knowing:

We are able to answer the question.

Then in the expression

d = 2565 - 500×t

As d is in miles, we must understand that 2565 is the total distance of the trip, also in miles, should and the product  -500×t must also be in miles. According to that, the number 500 is necessarily in miles/hours (the speed of the plane),  and the negative sign for 500 means that the total distance 2565 miles should be subtracted from the total time of travel.

For instance if t = 1 hour

d = 2565 miles - 500 (miles)/hour × 1 (hour)

As we can see we are able to determine the total time of fly, as the total distance between the cities is 2565, and 500 is the speed of the plane (constant during the whole trip).

For the whole trip

d = 2565 miles    then total fly time is:

2565 (miles)/ 500 (miles/hour)×t

To get .  t = 5.13 h

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The missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

As we know,

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.

From the graph of two parallel lines:

r ║ s

The slope is the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Thus, the missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.

Learn more about the distance formula here:

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so tan = me sun bathing for 2.5 second

Answer:

3 lbs of coffee

Step-by-step explanation:

$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)

24.12/8.04 = 3

Answer:

3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.

Answer:

(-3,1)

Step-by-step explanation:

2/2 x (-5,1)

Then the circle is (-3,1)