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mario62 [17]
3 years ago
7

Fishing adventures rents small fishing boats to tourists for day-long fishing trips. Each boat can hold at most eight people. Ad

ditionally, each boat can only carry 900 pounds of weight for safety reasons.
a) Let p represent the total number of people. Write an inequality to describe the number of people that a boat can hold. Draw a number line diagram that shows all possible solutions.

b) Let w represent the total weight of a group of people wishing to rent a boat. Write an inequality that describes all total weights allowed in a boat. Draw a number line diagram that shows all possible solutions.
Mathematics
1 answer:
IgorLugansk [536]3 years ago
4 0

i dont get it either

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What is the equation of the following line written in slope intercept form? (-5,-1)
solmaris [256]

Answer:

\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}

Put it to the equation in slope-intercept form:

y=-\dfrac{2}{3}x+b

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

-1=-\dfrac{2}{3}(-5)+b

-1=\dfrac{10}{3}+b         <em>subtract 10/3 from both sides</em>

-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}

Finally:

y=-\dfrac{2}{3}x-\dfrac{13}{3}

4 0
4 years ago
GIVING OUT FREE BRAINLIEST!!!!!!!!!!!!!!!!
Karolina [17]

Answer:

6 is the answer hope it helps:)

4 0
2 years ago
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A rectangle has an area of 18cm^2. The lengths of the sides are whole numbers. How long can each of the sides be? Give all the e
babymother [125]

Answer:

Area of rectangle = l x b

18 = l x b

Factors of 18 =

1 x 18 = 18

2 x 9 = 18

3 x 6 = 18

So each of the sides can be either 1cm and 18 cm, 2cm and 9cm and 3cm and 6cm.

6 0
3 years ago
Using only words solve 8x+3=27 step by step​
erik [133]

Answer:

X=3

Step-by-step explanation:

Subtract 3 from both sides

Simplify 27-3 to 24

Divide both sides by 8

Simplify 24/8 to 3

5 0
3 years ago
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I need help. this is the problem x^2/3+10=7x^1/3
Arlecino [84]

\it x^{\frac{2}{3}}+10=7x^{\frac{1}{3}} \Leftrightarrow  (x^{\frac{1}{3}})^2-7x^{\frac{1}&#10;  {3}} +10=0 &#10;\\\;\\&#10;We\ note\ x^{\frac{1}{3}} =t \ \ and \ the \ equation \ will \ be:&#10;\\\;\\&#10;t^2-7t+10 = 0 \Leftrightarrow t^2 -2t-5t+10=0 \Leftrightarrow t(t-2) -5(t-2)=0

\it \Leftrightarrow (t-2)(t-5)=0 &#10;\\\;\\&#10;t-2=0 \Rightarrow t=2 \Rightarrow x^{\frac{1}{3}}=2 \Rightarrow (x^{\frac{1}{3}})^3 =2^3 \Rightarrow x = 8&#10;\\\;\\&#10;t-5=0 \Rightarrow t=5 \Rightarrow x^{\frac{1}{3}}= 5  \Rightarrow (x^{\frac{1}{3}})^3 = 5^3 \Rightarrow x = 125

S = {8; 125}


7 0
4 years ago
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