Suppose in the triangle ABC below, AC is 5 and CD is 4. Find as many values as you can among the following:

timofeeve [1]

Answer:

$y=448-28x$

Step-by-step explanation:

Let x be the number of miles.

We have been given that Sully's car has an average fuel economy of 28 miles per gallon. The capacity of the fuel tank is 16 gallons.

Let us find the number of miles that Sully can drive with 16 gallons.

$\text{Number of miles Sully can drive}=\text{16 gallons}\times \frac{\text{28 miles}}{\text{gallon}}$

$\text{Number of miles Sully can drive}=\text{16}\times \text{28 miles}$

$\text{Number of miles Sully can drive}=448\text{ miles}$

This means that initially Sully's car has can drive 448 miles, so at x equals 0, y will be 448.

As the car consumes 1 gallon for each 28 miles driven, so the gallons of fuel consumed in traveling x miles will be 28x. As each gallon of fuel will decrease with each 28 miles traveled, so slope of our function will be -28.

Upon substituting slope and y-intercept in slope-intercept form (y=mx+b), we will get our function as:

$y=448-28x$

Therefore, our required function will be: $y=448-28x$ .

4 0

2 years ago

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(2 points) Consider the linear system y⃗ ′=[−35−23]y⃗ . Find the eigenvalues and eigenvectors for the coefficient matrix. ????1=

oksian1 [2.3K]

Answer:

Please see the attached file for the complete answer.

Step-by-step explanation:

Download pdf

6 0

2 years ago

Ribbon is only sold by the spool. A spool contains 25 yards of ribbon. Shannon needs 58 yards of ribbon to wrap all the presents

ella [17]

Answer:

$\boxed{\text{3 spools}}$

Step-by-step explanation:

$\text{1 spool =25 yd}\\\text{Spools needed } = \text{58 yd} \times \dfrac{\text{1 spool}}{\text{25 yd}} = \text{2.32 spools}\\\\\text{However, Shannon can't buy part of a spool. She must $\textbf{round up}$ to the next integer.}\\\text{Shannon must buy $\boxed{\textbf{3 spools}}$ of ribbon}$

6 0

2 years ago

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Please help! Tim and Jane both work at a company that sells boxes of breakfast cereal. The boxes of cereal cost £3.00 and the am

patriot [66]

Answer: Jane needs to reduce the price by 20%

Step-by-step explanation: The first thing to note is the original price of the cereal and that is given as £3 for every 160 grams.

The change proposed by Tim is as follows;

Put 25% more cereal in the box (and do not change the price). That means 160 g plus 25%. Mathematically, this can be expressed as;

New weight = 160 + (160 * 25%)

New weight = 160 + (160 * 0.25)

New weight = 160 + 40

New weight = 200

Hence, Tim's idea would result in a cereal box with 200 grams that still cost £3. At this rate, each gram would cost

1 gram = Price / Total grams

1 gram = 3/200

1 gram = 0.015

However, Jane has proposed that the amount of cereal in the box should not be changed, which means the box of cereals should remain 160 grams. The price should be reduced to give the same value as Tim's idea. This means 160 g of cereals should now sell for £0.015 per gram. That would bring the price of 160 g to,

1 gram = 0.015

160 grams = 0.015 * 160

160 grams = 2.4

With Jane's proposal, a 160 g box of cereal should now be sold at £2.4 each. That is a reduction of £0.6

Therefore, the percentage reduction can be calculated as follows;

% decrease = (0.6/3) * 100

% decrease = (1/5) * 100

% decrease = 20

From the results above, Jane should reduce the price (£3 per 160 g) by 20%.

7 0

3 years ago

What is the rate of change of the amount earned with respect to hours worked for this function?

aleksley [76]

Question:

The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour

Answer: 13 dollars per hour

Step-by-step explanation:

The rate of change (ROC) for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :

Point a = (5, 65) = (x2, y2)

Point b = (2, 26) = (x1, y1)

Calculating the gradient or slope :

Rate of change = (y2 - y1) / (x2 - x1)

Rate of change = (65 - 26) / (5 - 2)

Rate of change = 39 / 3

= 13 dollars per hour

4 0

2 years ago

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