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ANEK [815]
2 years ago
15

Bob's bill for dinner at surefire steak house was $45. In addition he piad 5°\° of the bill in tax and he left a tip for 15°\° o

f the bill how much did Bob spend for tax and tip combined how much did Bob spend in all?
Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
5 0

Answer:

$54

Step-by-step explanation:

First

45 times .05= 2.25

Second

45 plus 2.25

Third

45 times .15= 6.75

Fourth

45+2.25+6.75

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The revenue function for a dog food company is modelled by the function R(d) = - 40d^2 + 200d, where d is the price for a can of
marysya [2.9K]

Answer:

The breakeven prices are d_1=4.225 and d_2=1.775.

Step-by-step explanation:

The break even point represents the point in which the profit is zero. In other words, where the revenue equals the cost.

We have functions that describe both the revenue and the cost. The brackeven price is such that R(d)=C(d):

R(d) = - 40d^2 + 200d\\\\C(d) = 300-40d\\\\\\R(d)=C(d)\\\\-40d^2+200d=300-40d\\\\-40d^2+240d-300=0\\\\\\d=\dfrac{-240\pm\sqrt{240^2-4(-40)(-300)}}{2(-40)}\\\\\\d=\dfrac{-240\pm\sqrt{57600-48000}}{-80}\\\\\\d=\dfrac{-240\pm98}{-80}=3\pm1.225\\\\\\d_1=3+1.225=4.225\\\\d_2=3-1.225=1.775

4 0
2 years ago
Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9. Write the division problem
Sveta_85 [38]

Answer:

The required division problem he must solve is:

\frac{2}{3} \div \frac{-3}{8} =\frac{2}{3}\times\frac{-8}{3}=\frac{-16}{9}

Step-by-step explanation:

Consider the provided information.

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9.

As we know that the quotient of the number is a negative number.

Therefore, the sign of both numbers must be different,

Thus we can concluded he must select \frac{2}{3} as one of the card, so that product is a negative number.

Let the selected card be x.

\frac{2}{3} \div x =\frac{-16}{9}\\\\x=\frac{2}{3}\div\frac{-16}{9}\\\\x=\frac{2}{3}\times\frac{-9}{16}\\\\x=\frac{-3}{8}

Hence, the two cards should be \frac{2}{3} and \frac{-3}{8}

The required division problem he must solve is:

\frac{2}{3} \div \frac{-3}{8} =\frac{2}{3}\times\frac{-8}{3}=\frac{-16}{9}

3 0
2 years ago
A puppy finds a rawhide bone and begins to pull it with a force, Ft. The free-body diagram is shown. A free body diagram with 4
Drupady [299]

Answer:

  • <em><u> It begins to move toward the right</u></em>

Explanation:

The given information can be summarized in this way:

  • First force vector: Fg = - 8N (vertical down)
  • Second force vector: Ft = 6N (horizonal right)
  • Third force vector: FN = 8N (vertical up)
  • Fourth vector: Ff = - 4N (horizontal left)

Following Newton's second law, net force equal mass times acceleration:

  • Net force = mass × acceleration

To predict the motion, you apply Newton's second law in each direction (vertical and horizontal)

  • <u>Vertical force balance:</u>

        Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.

  • <u>Horizontal force balance:</u>

         Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.      

6 0
2 years ago
The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate what is the cost of: 9 b
Alexandra [31]

Answer:

$26.91

Step-by-step explanation:

11.96 divided 4 = 2.99

2.99 x 9 = $26.91

4 0
2 years ago
Read 2 more answers
How do you use a number line to solve 235+123
Novosadov [1.4K]
<span>Number line refers to a mathematical process of solving the equation with the use of lines.
=> 235 + 123
Starting from 0 you count 1 up to 235. Then starting from 235 you additionally count another 123.
Then from zero start counting the total number to the line you stopped when adding 123 to 235.

This simply equals to
=> 235 + 123
=> 358.
Pls. see attached image for illustration of number line.</span>Answer here

6 0
2 years ago
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