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guajiro [1.7K]
3 years ago
15

The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance

at 60 miles per hour, how long will it take to travel the same distance at 50 miles per hour?
Select one:
a. 6.6 h
b. 6.9 h
c. 4.6 h
d. 4.2 h
Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0

Answer:

6.6h

Step-by-step explanation:

  • So it takes 5.5 hours going at a speed of 60 miles per hour, multiply these two and we get a distance of 330 miles
  • Use this distance to find the time if speed is 50 miles per hour, so time is derived by dividing the distance by the speed
  • 330 miles divide by 50 miles per hour gives 6.6 hours
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The house has a form of a rectangle with one side two and a half times as long as the other side. a Construct the expression for
Nookie1986 [14]

Answer: A=2.5x^{2}


Step-by-step explanation:

1. Let's write the following formula for calculate the area of a rectangle:

A=yx

Where y is the lenght (the longer side) and x is the width (the shorter side).

2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:

y=2.5x

3. So, you must substitute y into the equation for calculate the area of the rectangle and then you must simplify.

4. Then, you obtain the following expression:

A=(2.5x)(x)\\A=2.5x^{2}


4 0
3 years ago
-2/3x + 2.8 = -8.2 what is x
JulsSmile [24]
-2/3x + 2.8 = -8.2 what is x
Add 2.8 on both side of the equation
-2/3x=-11
Divide both side by -2/3
x=33/2

Check: -2/3(33/2)+ 2.8 = -8.2
-11+2.8=-8.2
-8.2=-8.2

Answer is x=33/2
6 0
3 years ago
Given that f(–2.4) = -1 and f(-1.9) = -8, approximate<br> f'(-2.4).<br> f'(-2.4)
lora16 [44]

Answer:

f'(-2.4) ≈ -14

General Formulas and Concepts:
<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)

Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Functions

  • Function Notation

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the <em>tangent</em> <em>line</em>.

<u>Step 1: Define</u>

<em>Identify.</em>

f(-2.4) = -1

f(-1.9) = -8

<u>Step 2: Differentiate</u>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.

  1. [Derivative] Set up [Slope Formula]:                                                           \displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}
  2. Substitute in coordinates:                                                                           \displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}
  3. Evaluate:                                                                                                       \displaystyle f'(-2.4) \approx -14

---

Learn more about derivatives: brainly.com/question/17830594

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

6 0
2 years ago
Trina has a total of 32 crayons.how many boxes of crayons did she buy
Sever21 [200]
Well it depends on the type of crayon box that she buys. For instance, some crayon boxes have a 24 pack box of crayons while others have 64 or maybe even a 16 pack box of crayons. So it all depends on what kind of box she bought.
4 0
3 years ago
Read 2 more answers
at party the pumpkin pie is cut into 14 slices and the cherry pies cut into seven slices if the host wants to serve identical pl
Lyrx [107]

Answer:

The host can only prepare 7 plates

Step-by-step explanation:

7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)

7 0
3 years ago
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