Write the equation of the line in slope intercept form that has the given slope and the y-intercept

Sid needs 0.6 meters of canvas material to make a carry-all bag for his wheelchair. If canvas is $9.49 per meter, how much wi

asambeis [7]

The amount of money Sid would spend to make a carry-all bag for his wheelchair is $5.694.

Given the following data:

Length of canvas material = 0.6 meter.

Cost of canvas per meter = $9.49

To calculate the amount of money Sid would spend to make a carry-all bag for his wheelchair:

<h3>How to solve a word problem.</h3>

In this exercise, you're required to determine the total cost required to make a carry-all bag for Sid's wheelchair, if the canvas is $9.49 per meter and 0.6 meters of it is needed. Thus, we would multiply the cost of canvas by the length of canvas material that is required.

Mathematically, this is given by this expression:

$Total\;cost = 0.6 \times 9.49$

Total cost = $5.694.

Read more on word problems here: brainly.com/question/13170908

8 0

3 years ago

If y varies directly as x, and y = 10 when x = 9, find y when x = 1/9

Vinvika [58]

Answer:

10/81

Step-by-step explanation:

let,

y=kx

y=10 when x=9

so,

10=k×9

or, k=10/9

when x=1/9

y=kx

or, y=(10/9)×(1/9)

or, y=10/81

5 0

3 years ago

Rosalie is organizing a circus performance to raise money for a charity. She is trying to decide how much to charge for tickets.

Ray Of Light [21]

Answer:

she should charge $7.395 per ticket in order to make the most money.

Step-by-step explanation:

From the given information:

If Rosalie charges $5 then 1175 people will attend the circus performance

If Rosalie charges $7 then 935 people will attend the circus performance

Let x be the cost and y to be the number of people that will attend the performance . Then, we will have two points which are;

(5, 1175) and (7, 935)

The slope(m) of this points = $\dfrac{\Delta y}{\Delta x}$

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

$=\dfrac{935-1175}{7-5}$

Slope (m) = $\dfrac{-240}{2}$

Slope (m) = -120

However; we can now have the linear equation:

$y-y_1 = m(x-x_1)$

$y-1175= -120(x-5)$

$y-1175= -120x+600$

$y= -120x+600+1175$

$y= -120x+1775$

The linear function is : y = -120x + 1775

Now; the total amount of money she can now earn is:

f(x) = xy

f(x) = x(-120x + 1775)

f(x) = -120x² + 1775x

The above expression is a quadratic equation; Using the quadratic formula; we have:

$=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$

where; a = -120 ; b = +1775 and c = 0

$=\dfrac{-(1775) \pm \sqrt{(1775)^2-4(-120)(0)}}{2(-120)}$

$=\dfrac{-(1775) + \sqrt{(1775)^2-4(-120)(0)}}{2(-120)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) -\sqrt{(1775)^2-4(-120)(0)}}{2(-120)}$

$=\dfrac{-(1775) + \sqrt{(1775)^2}}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) -\sqrt{(1775)^2}}{(-240)}$

$=\dfrac{-(1775) + (1775)}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) - (1775)}{(-240)}$

$=\dfrac{0}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-3550}{(-240)}$

= 0 OR 14.79

Since; we are considering the value greater than zero

x = 14.79

maximum value of x = 14.79/2 = 7.395

Thus ; she should charge $7.395 per ticket in order to make the most money.

6 0

3 years ago

HELP ASAP will give brainliest

Natalka [10]

Average rate of change is 0

Interpretation: The crop yield did not change from year 5 to year 15

Solution:

The function that models the yield is:

$f(x) = -x^2 + 20x + 75$

The average rate of change of f(x) from x = a to x = b is given by the formula:

$\text{ average rate of change }=\frac{f(b)-f(a)}{b-a}$

Find and interpret the average rate of change from year 5 to year 15

$f(5) = -(5)^2 + 20(5) + 75\\\\f(5) = -25 + 100 + 75\\\\f(5) = 150$

$f(15) = - (15)^2 + 20(15) + 75\\\\f(15) = -225 + 300 + 75\\\\f(15) = 150$

Thus average rate of change:

$\text {average rate of change}=\frac{f(15)-f(5)}{15-5}$

$\text {average rate of change}=\frac{150-150}{10}=0$

Thus Average rate of change is 0

Interpretation: The crop yield did not change from year 5 to year 15.

7 0

3 years ago

Read 2 more answers

A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. How many total possible outcomes

asambeis [7]

Answer:

4, because if you chose any one from the 4 green marble the answer is 1 because all are same coloured, you can chose one green or one red or one blue or one yellow

Step-by-step explanation:

.

8 0

3 years ago