What is the equation of the line that passes through the point (7,-6)(7,−6) and has a slope of -2−2?

What is the value of x?<br> 2 units<br> 3 units<br> 5 units<br> 8 units

irinina [24]

Answer:B

Step-by-step explanation:

5 0

3 years ago

Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg lesss strawberries in the morning tha in the afte

Tpy6a [65]

Answer:

$3\frac{13}{20}=3.65$ kg.

Step-by-step explanation:

Let S be amount of strawberries picked in the afternoon.

We have been given that Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg less strawberries in the morning than in the afternoon and the strawberries picked in morning are $2\frac{1}{4}$ kg.

To find the amount of strawberries picked by Sheldon in the afternoon we will add $2\frac{1}{4}$ and $1\frac{2}{5}$ :

$S= 2\frac{1}{4}+1\frac{2}{5}$

Upon converting our given mixed fractions into improper fraction we will get,

$S= \frac{9}{4}+\frac{7}{5}$

Now let us have a common denominator.

$S=\frac{9*5}{4*5}+\frac{7*4}{5*4}$

$S=\frac{45}{20}+\frac{28}{20}$

$S=\frac{45+28}{20}$

$S=\frac{73}{20}$

$S=3\frac{13}{20}$

$S=3.65$

Therefore, Sheldon picked $3\frac{13}{20}=3.65$ kg of strawberries in the afternoon.

3 0

3 years ago

On a certain route, an airline carries 8000 passengers per month, each paying $70.A market survey indicates that for each $1

son4ous [18]

Answer:

The maximum revenue is $661,250.

Step-by-step explanation:

The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:

R = N * P = 8000 * 70 = $560,000

For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:

R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2

R = -50*x2 + 4500*x + 560000

The value of x that gives the maximum value of a quadratic function is found using the formula:

x = -b/2a

where a and b are coefficients of the quadratic equation (in our case, a = -50 and b = 4500)

So the value of x that gives the maximum revenue is:

x = -4500 / (-100) = 45

Using this value in the revenue equation, we have that the maximum R is:

R = -50*45^2 + 4500*45 + 560000 = $661,250

(To get this revenue, the ticket will cost 70+45 = $115 and there will be 8000-50*45 = 5750 passengers)

3 0

3 years ago

one day 176 people visited a small art museum. the ratio of memebers to non members that day was 5to11 what is the proporrition

lilavasa [31]

Sorry I'm not to sure

3 0

3 years ago

As a part of their weather unit, Anoki’s science class took a hot air balloon ride. As they passed over a fenced field, the angl

yulyashka [42]

Please refer to the figure attached for the diagram of this problem.

Steps needed to find the width of the field (CD):

First, we should note that angle d would be equal to 27 degrees because there are two parallel lines that are cut by a transversal. Furthermore, angle a would be equal to 5 degrees since we just need to subtract 27 from 32.

We then subtract 27 and 5 from 180 to get angle c. $180-27-5=148$ . Angle c is therefore 148 degrees.

Next, we need to find angle e which is just the supplementary of angle c. Angle e therefore measures $180-148=32$ degrees.

For the next step we use sine law to find the length of segment AC:
$\frac{sin(32)}{800} = \frac{sin(90)}{AC}$
$AC=1509.66$

Lastly, we need to utilize the sine law again to find the length of segment CD or the width of the field:
$\frac{sin(27)}{1509.66} = \frac{sin(5)}{CD}$
$CD=290$

ANSWER: The width of the field is 290 ft.

7 0

3 years ago