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svetoff [14.1K]
3 years ago
15

The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool

at a rate of 150 gallons per minute. Use paper to show your work for the questions below
Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

answer: 5

Step-by-step explanation:

this is simple soo yea

you divided 150 and 30 and it will give you 5

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In the coordinate plane, line p has a slope of 8 and y-intercept (0,3). What are the slope and y-intercept of line r?
Aleksandr [31]

Answer:

y  = 8x + 3

Step-by-step explanation:

The line we are describing here is line p;

 slope of line p = 8

  y- intercept = (0,3)

y-intercept of a line is the point where it crosses the y-axis. At this point, the x = 0

So;

  Slope of the line = 8

   y-intercept  =  3

Equation of the line;

       y  = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

      y  = 8x + 3

6 0
2 years ago
Area of a triangle with points at (-9,5), (6,10), and (2,-10)
Ann [662]
First we are going to draw the triangle using the given coordinates. 
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula: d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Distance from point A to point B:
d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}
d_{AB}= \sqrt{(6+9)^2+(10-5)^2}
d_{AB}= \sqrt{(15)^2+(5)^2}
d_{AB}= \sqrt{225+25}
d_{AB}= \sqrt{250}
d_{AB}=15.81

Distance from point A to point C:
d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}
d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}
d_{AC}= \sqrt{11^2+(-15)^2}
d_{AC}= \sqrt{121+225}
d_{AC}= \sqrt{346}
d_{AC}= 18.60

Distance from point B from point C
d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}
d_{BC}= \sqrt{(-4)^2+(-20)^2}
d_{BC}= \sqrt{16+400}
d_{BC}= \sqrt{416}
d_{BC}=20.40

Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
s= \frac{AB+AC+BC}{2}
s= \frac{15.81+18.60+20.40}{2}
s= \frac{54.81}{2}
s=27.41

Finally, to find the area of our triangle, we are going to use Heron's formula:
A= \sqrt{s(s-AB)(s-AC)(s-BC)}
A=\sqrt{27.41(27.41-15.81)(27.41-18.60)(27.41-20.40)}
A= \sqrt{27.41(11.6)(8.81)(7.01)}
A=140.13

We can conclude that the perimeter of our triangle is 140.13 square units.

3 0
2 years ago
Carl throws a single die twice in a row. For the first throw, Carl rolled a 2; for the second throw he rolled a 4. What is the p
siniylev [52]

Answer:

1 over 12.

Step-by-step explanation:

The probability of Carl rolling a 2 is one out of six. The probability of him rolling a 4 is one out of six. but they need to happen one right after the other, so you add them.

6 0
3 years ago
What is the range of a sine function?
vesna_86 [32]

Answer:

All real numbers between -1 and 1, including -1 and 1

Step-by-step explanation:

7 0
3 years ago
(08.05)The box plot shows the number of years during which 24 colleges have participated in a local college fair:
svet-max [94.6K]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
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