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nordsb [41]
3 years ago
14

The cost of a hamburger is $1.15 more than an order of large fries bill bought two hamburger ms and an order of large fries for

a total of $8.60 what is the price of each item
Mathematics
1 answer:
lilavasa [31]3 years ago
6 0

Answer:

The cost of an order of large fries is \$ 2.10 and the cost of a hamburger is \$3.25.

Step-by-step explanation:

Let the cost of an order of large fries be \$ x.

Then, the cost of a hamburger is \$ x+\$1.15.

Bill bought two hamburgers and an order of large fries for a total of \$ 8.60.

So, 2(x+1.15)+x=8.60

\Rightarrow 2x+2.30+x=8.60

\Rightarrow 3x=8.60-2.30

\Rightarrow 3x=6.30

\Rightarrow x=\frac{6.30}{3}

\Rightarrow x=2.10

So, the cost of an order of large fries is \$ 2.10.

And, the cost of a hamburger is \$2.10+\$1.15=\$3.25.

Hence, the cost of an order of large fries is \$ 2.10 and the cost of a hamburger is \$3.25.

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Marta Perez sells coffee beans to local coffee shops. She earns a 10% straight commission on all sales. In November, her sales t
ruslelena [56]
The answer is $3,850 and have a very nice day
7 0
3 years ago
g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufactur
sdas [7]

Answer:

The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

Step-by-step explanation:

A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.

Recall that the volume for a cylinder is given by:

\displaystyle V = \pi r^2h

Substitute:

\displaystyle (300) = \pi r^2 h

Solve for <em>h: </em>

\displaystyle \frac{300}{\pi r^2} = h

Recall that the surface area of a cylinder is given by:

\displaystyle A = 2\pi r^2 + 2\pi rh

We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.

First, substitute for <em>h</em>.

\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r}  \end{aligned}

Find its derivative:

\displaystyle A' = 4\pi r - \frac{600}{r^2}

Solve for its zero(s):

\displaystyle \begin{aligned} (0) &= 4\pi r  - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}

Hence, the radius that minimizes the surface area will be about 3.628 centimeters.

Then the height will be:

\displaystyle  \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2}  \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm}   \end{aligned}

In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

7 0
3 years ago
What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
Marat540 [252]

Answer: 63%

Step-by-step explanation:

<u>First step</u>

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10}  = 38\\\\x  = 380 - 343\\\\x = 37

x = 37%

<u>Second step - Survival rate</u>

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

7 0
3 years ago
The Movie House gives away a $5 coupon for every 4 movies purchased.How many movies would you have to purchase in all before rec
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Answer:

5 movies because for 4 movies equals a coupon

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3 years ago
20 points!!!!
valentinak56 [21]
No, because the sample was not random
8 0
3 years ago
Read 2 more answers
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