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3 years ago

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Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

4 0

Answer:

The answer to the question provided is 5 units.

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There are 4 red marbles and 7 blue marbles in a bay.

Brilliant_brown [7]

Answer:

a: 11:7

b: 11:

I hope this helped :)

3 0

3 years ago

Read 2 more answers

a rectangle has an area of 240 square centimeters and a length of 32 centimeters. what is the width of the rectangle? use the fo

oksano4ka [1.4K]

Answer:

7.5

Step-by-step explanation:

8 0

3 years ago

A candle on pauline’s dresser is 10 inches tall and burns at a rate of 0.75 inches per hour. how many hours will it take for the

Natalija [7]

Using a linear function, it is found that it will take 13 hours for the candle to burn down to a height of .25 inches.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the situation described, the y-intercept is of 10 while the slope is of -0.75, hence the height of the candle after t hours is given by:

h(t) = 10 - 0.75t

The height will be of 0.25 inches when h(t) = 0.25, hence:

0.25 = 10 - 0.75t

0.75t = 9.75

t = 9.75/0.75

t = 13 hours.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0

2 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

jonny [76]

Answer:

x = $36 , y = $ 838

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

$y = -x^2 + 72x -458$

We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).

From the properties of a parabola equation of the form:

$y = ax^2 + bx + c$

The vertex ( turning point ) or maximum/minimum point is given as:

$x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36$

The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:

$y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838$

The maximum profit would be y = $838

4 0

3 years ago

Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.

Feliz [49]

we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x$

3 0

2 years ago