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Vlad [161]
2 years ago
6

Need help quick!! Cant figure this out

Mathematics
1 answer:
sladkih [1.3K]2 years ago
5 0

Answer:

The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.

Step-by-step explanation:

Physically speaking, average speed (\bar v), measured in miles per hour, is the distance travelled (\Delta s), measured in miles, divided by time (\Delta t), measured in hours. That is:

\bar v = \frac{\Delta s}{\Delta t} (1)

The time needed by the vehicle is:

\Delta t = 72\,min\times \frac{1\,h}{60\,min}

\Delta t = 1.2\,h

If we know that \Delta s = 143\,mi and \Delta t = 1.2\,h, then the average velocity of the car is:

\bar v = \frac{143\,mi}{1.2\,h}

\bar v = 119.167\,\frac{m}{s}

The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.

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Determine the equation of the line given by the graph. A) y = 5 3 x − 4 B) y = 3 5 x − 4 C) y = − 5 3 x + 4 D) y = − 3 5 x + 4
GalinKa [24]

Answer:

Where is the Graph?

Step-by-step explanation:

3 0
2 years ago
A painter starts with a blank 24-inch by 12-inch piece of rice paper. The painter wants to leave a uniform border x inches wide
ddd [48]

Answer:

a. A = x² - 36x + 288

b. If x = 2; A = 220 in²

Step-by-step explanation:

<h2>a.</h2>

In this scenario, 'x' represents the width of the border. A "uniform border" means that the border has the same width all around.

The area of the paper that can be painted does not include the border. Since the border is on the original rice paper (not added to it), you subtract 'x' from each side of the rice paper.

The area of a rectangle is A = lw (Area is length times width). <u>Each length and width is reduced by 'x'.</u>

If the original rice paper's area is: 24 X 12, then,

the Area that can be painted is:

A = (24 - x) (12 - x)

A polynomial in standard form means the most expanded version of an expression, ordering the terms (numbers) from greatest to least degree. (The degree of a term is the value of its exponent).

Expand the expression. Multiply the numbers from each bracket in the order FOIL (first, outside, inside last):

A = (24 - x) (12 - x)

= 288 - 24x - 12x + x²        Collect like terms (-24x - 12x = -36x)

= 288 - 36x + x²        Rearrange ordering greatest to least exponent value

= x² - 36x + 288        Standard form polynomial

<h2>b.</h2>

The width of the margin is the same thing as the width of the border. Since 'x' is the width of the border,

x = 2

Using either the expanded or factored equation for area of that can be painted, substitute 'x' for 2.

I will use the factored form.

A = (24 - x) (12 - x)        Substitute x for 2

= (24 - 2) (12 - 2)          Solve inside each bracket first by subtracting

= (22) (10)             Multiply

= 220                 Area that can be painted

Remember to include the units: 220 in²

Therefore if the margin is 2 inches wide, then the area that can be painted in 220 square inches.

5 0
3 years ago
when the driver is in the empty truck, the mass is 2948.35 kilogram. the mass of 1 box of paper is 22.5 kilograms. the driver de
marishachu [46]

Answer:

  0 boxes minimum

Step-by-step explanation:

The mass of the truck and paper must satisfy ...

  22.5b + 2948.35 ≤ 4700 . . . . total truck mass cannot exceed bridge limits

  22.5b ≤ 1751.65

  b ≤ 77.85

The driver can take a minimum of 0 boxes and a maximum of 77 boxes of paper over the bridge.

_____

The question asks for the <em>minimum</em>. We usually expect such a question to ask for the <em>maximum</em>.

7 0
2 years ago
acme lumber purchased 13.145 pine wood and 16.903 cedar wood to sell in the store. after 6 months they had sold7.589 pounds of l
11111nata11111 [884]

Answer:

22.459 pounds of wood

Step-by-step explanation:

Total amount of wood in store = amount of pine wood purchased + amount of cedar in the store

Total amount of wood in store = 13.145 pine wood + 16.903 cedar wood

Total amount of wood in store = 30.048 pounds of wood

If acme lumber had sold 7.589 pounds of lumber after 6 months, the amount of pounds of woods that the company have left to sell = Total amount in store initially - amount sold after 6 months

Amount of pounds of woods that the company have left to sell  = 30.048 - 7.589

The amount of pounds of woods that the company have left to sell  = 22.459 pounds of wood

4 0
3 years ago
7 times the sum of a number and 4 is the same as 8 decreased by 3 times the number. Find the number
Marrrta [24]

Answer:

7(x4) = 8-x

Step-by-step explanation:

4 0
3 years ago
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