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4vir4ik [10]
3 years ago
11

The neighborhood ice cream truck driver has to pay $650.00 a week to rent his truck. Each ice cream cone costs $0.75 to make and

sells for $1.60. Set up equation to figure out how many ice creams cones must be sold to make a profit of $100.00 for the week.
Mathematics
2 answers:
tia_tia [17]3 years ago
7 0
650- (1.60-.75)x=100

agasfer [191]3 years ago
6 0

Answer: 1.60x-.75x-650=100

Step by step explanation:

Ice cream truck rent $650.00 a week  

Each ice cream cone costs $0.75  

Sells Ice cream cone for $1.60

How many ice cream cones must be sold to make a profit of $100.00 for the week = x

Capital amount per week = $650 + $0.75 (per cone)

Profit per cone: $1.60 – $0.75 = $0.85

In order to make $100 profit, the expression would be:

$0.85x – $650 = $100

So if you solve the equation:

$0.85x =$100 + $650

x = $882

$0.85  ($882) - 650 = $100


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The radius of the large sphere is double the radius of the small sphere. How many times does the volume of the large sphere than
pshichka [43]

Answer:

8 times larger.

Step-by-step explanation:

The radius of the large sphere is double the radius of the small sphere.

Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

<u>Let radius of the small sphere = </u>x<u />

<u>As the radius of the large sphere is double the radius of the small sphere:</u>

Then, radius of the large sphere = 2x

To find that how many times is the volume of the large sphere than the small sphere, we will <em><u>divide the volume of large sphere by  volume of small sphere:-</u></em>

For smaller sphere: Radius = x

Volume \ of \ sphere = \frac{4}{3} \pi r^{3}

                             =\frac{4}{3} \pi x^{3}

For larger sphere: Radius = 2x

Volume \ of \ sphere = \frac{4}{3} \pi r^{3}

                             =\frac{4}{3} \pi (2x)^{3}

Now, we will divide volume of the larger by the smaller one:

=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\  \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\  \times\frac{1}{x^{3} }

\frac{4}{3}\pi\   is \ canceled\  by\  \frac{3}{4\pi } \ and\ also\ x^{3} is\ canceled\ by \ \frac{1}{x^{3} }

<u>Now, we have</u>

= \frac{8}{1}

Therefore, the volume of the large sphere is 8 times larger than the smaller sphere.

7 0
3 years ago
Read 2 more answers
Which of the following functions is quadratic? f(x)=3(x-4)(x+3), f(x)=5^2, f(x)=2/x, f(x)=2x^3+3x^2-5
DENIUS [597]
In B 5^2 = 25. There is no x anywhere.
In C f(x) = 2/x is a function of a reciprocal, not a quadratic.
In D f(x) = 2x^3 + 3x^2 - 5 is a cubic. A cubic is not a quadratic. The highest power of a quadratic is x^2

That leaves A. When you expand the brackets, you get
3(x^2 + 3x- 4x - 12)
2(x^2 - x - 12) when you remove the brackets you get
2x^2 - 2x - 24. The highest power of x is x^2. This is your quadratic.

A<<<< answer.
8 0
3 years ago
Calculate the price with VAT of the following case.
AlekseyPX

Answer: $427140

Step-by-step explanation:

Firstly, we'll add MP to the profit and this will be:

= Rs 400000 + Rs 20000

= Rs 420000

Since there is a discount of 10%, this will then be:

= 420000 - (10% × 420000)

= 420000 - 42000

= $378000

With a VAT of 13%, then the final price will be:

= $378000 + (13% × $378000)

= $378000 + (0.13 × $378000)

= $378000 + $49140

= $427140

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It would be 4 business owners will gift their employees
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