Suppose y varies directly with x. If y = −12 when x = −4, find x when y = 24.

Answer:

9.50x+130 > 700

Step-by-step explanation:

Answer:

9.50x+130> 700 I believe is the right answer.

Step-by-step explanation:

You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.

x equals how may hours

9.50x + 130 > 700

The question is incomplete. The complete question is :

Two companies modeled their profits for one year.

Which statement describes the relationship between the profits, predicted be the models, of the two companies?

Solution :

For one year, the two companies A and B modeled their profits.

It is given that :

Company A uses function [tex]$P(t) = (1.8)(1.4)^t$[/tex] in order to represent the monthly profit of the company in hundreds of dollars after a time [tex]t[/tex].

But the company B uses the data in the table in order to write the linear model to represent their monthly income.

We know the linear function is given by :

[tex]$P(t)=mt+c$[/tex]

Here, m = slope of line

          c = y-intercept

According to the data from the table , we see that the two points [tex](3.5)[/tex] and [tex](4.10)[/tex] lies on the line so that the slope of the line is represented by :

[tex]$\frac{y-y'}{x-x'}=\frac{10-5}{4-3}=5$[/tex]

The point [tex](3.5)[/tex] passes through the given line.

∴ [tex]$5=5(3)+c$[/tex]

[tex]$5=15+c$[/tex]

[tex]$c=5-15$[/tex]

[tex]$c=-10$[/tex]

Therefore, the function will be [tex]$P(t) = 5t-10$[/tex]

So, at [tex]t=4[/tex],

the profit of the company A is [tex]$P(4)=(1.8)(1.4)^4$[/tex]

                                                          = 6.91

the profit of the company A is [tex]$P(4)=5(4)-10$[/tex]

                                                           = 20 - 10

                                                            = 10

Therefore,  [tex]t=4[/tex], the profit of the company B is more than the profit of company A.

Now at [tex]t=12[/tex],

Profit of company A is [tex]$P(12) =(1.8)(1.4)^{12}$[/tex]

                                               = 102.05

Profit of company B is [tex]P(12)=5(12)-10[/tex]

                                               [tex]$=66-10$[/tex]

                                               = 56

Therefore, the profit of company A is more that that of company B at the end of the year one.

Thus, company B had a greater profit for the fourth month and ended the year with the greater monthly profits than company A.

Option (B) is the correct answer.

1-opposite angles are congruent

2-consecutive angles are supplementary

3-diagonals of a parallelogram divide the parallelogram into two congruent triangles

4-diagonals of a parallelogram bisect each other

Answer:

V= 36 9/16 or (decimal form) 36.5625

Step-by-step explanation:

V=length x width x height

Answer:

.065

Step-by-step explanation:

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18

P(1st black) = Black/total = 5/18

You keep the marble

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17

P(2st black) = Black/total = 4/17

Multiply the probabilities together

P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065

Answer:

379.94 m²

Step-by-step explanation:

3.14×11²= 379.94 m²

Step-by-step explanation:

The area of a circle is

π[tex]r^{2}[/tex]

The r is 11 so we get 11^2 * π

121π is our exact area,

380.13 m^2 is our approximate area

Answer:

A

Step-by-step explanation:

Log poperties

Answer:

11

Step-by-step explanation:

1. First do the brackets because BEDMAS

So, (12÷4+1) = 4

2. 15 - 1 x 4

3. 15 - 4

4. 11

Hope this helps! :)

Use the symbolab website/app it's really helpful

Answer:    0.5 liquid gallon

Step-by-step explanation:      Have a great day

Answer:

2. Isosceles

4. 25, 65, 90

Step-by-step explanation:

Isosceles triangles have two equivalent sides

All the interior angles of triangles always add up to 180 degrees

ANSWER:

200 millimetre

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

Work Shown:

1 meter = 100 cm

3 meters = 300 cm (multiply both sides by 3)

15 boxes are 300 cm tall combined, so 300/15 = 20 cm is the height of each box.

------------

Unfortunately 20 cm isn't listed as an answer choice, but we can convert to km and see what happens

20 cm * (1 m/100 cm)*(1 km/1000 m) = 20/(100*1000) = 0.0002 km

It's close, but off by a digit. Choice B has two zeros while 0.0002 has three zeros between the decimal point and the '2'.

------------

Let's convert to mm and see what happens

20 cm * (10 mm/1 cm) = 200 mm

Through trial and error, we arrived at the final answer.

Answer:

B. y= -½x + 11

Step-by-step explanation:

_______________

Step-by-step explanation:

the arithmetic mean are 14

Answer:

20

Step-by-step explanation:

We are to determine the lowest common multiple of 4 and 5

the first six multiple of 4 are = 4, 8, 12, 16, 20, 24

the first six multiple of 5 are = 5, 10, 15, 20, 25

the multiple they both have in common is 20

Answer:

B

Step-by-step explanation:

V = 4/3 * radius^3 * pi = 4/3 * 4^3 * pi = 256 /3 * pi

Answer:

n = 12.89

Step-by-step explanation:

Add 9.02 + 3.87

Answer:

x-intercept: 15

y-intercept: -6

The slope is positive because 2/5 (the slope) is positive.

Step-by-step explanation:

The x-intercept is where the line crosses the x-axis.

The y-intercept is where the line crosses the y-axis.

Answer:

class b

Step-by-step explanation:

because the mean and median are approximately the same

Answer:

Total Area: 60

Step-by-step explanation:

The area of the rectangle is the easiest to find. Just multiply 12x4.

12x4=48

For the triangle. You can subtract 4 from the height of 10ft.

The height of the triangle is now 6ft.

To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.

Btw the image was really small. Kind of hard to see the numbers.

Answer:

For question A)  y = -6 , b = 12

For question B) x = 2

Step-by-step explanation:

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

6 - 2x = 3

(You have to subtract 6 on both sides so it can cancel out)

6 - 6 - 2x = 3 - 6

-2x = -3

(Now, you divide -2 on both sides to isolate the x)

-2/(-2)x = -3/(-2)

x = 3/2

Answer:

(x+3)² + (y+2)² = 49

Step-by-step explanation:

To graph the circle that has centre of (-3,-2) with a point (-3, -9) on it.

First, let us write the equation of the circle

The equation is expressed as;

(x-a)² + (y-b)² = r²

(a, b) is the centre

r is the radius

r = √(-9-(-2))² +(-3-(-3))²

r = √(-9+2)² +(-3-(-3))²

r = √(-7)²

r = √47

r = 7

Get the equaton

(x-(-3))² + (y-(-2))² = 7²

(x+3)² + (y+2)² = 49

This gives the required equation

Answer:

1/4

Step-by-step explanation:

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

[tex]S_{47}[/tex] = [tex]\frac{47}{2}[/tex] [ (2 × - 215) + (46 × 14) ]

     = 23.5 (- 430 + 644)

    = 23.5 × 214

    = 5029

Answer:

3.56 pints

7.125 cups

57 oz

Step-by-step explanation:

water = 1 quart = 32 oz

lemon juice = 1 pint = 16 oz

honey = 9 oz

lemonade = 32 + 16 + 9 = 57 oz

Now 16 oz = 1 pint

So, 57 oz = 3.56 pint

As, 1 cup =  8 oz

So, 57 oz = 7.125 cups