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MrMuchimi
3 years ago
8

Rosemarie drove from Philadelphia, Pennsylvania, to Pittsburgh, Pennsylvania. The distance between Philadelphia and Pittsburgh i

s 305 miles. Rosemarie reached Pittsburgh 5 hours after she left Philadelphia. What is the speed at which she drove her car?
Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0

Answer:

The speed was 61\frac{miles}{hour}

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s------> the speed in miles per hour

d ----> the distance in miles

t ----> is the time in hours

we know that

s=\frac{d}{t}

we have

d=305\ miles

t=5\ hours

substitute

s=\frac{305}{5}

s=61\frac{miles}{hour}

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Answer:

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Step-by-step explanation:

u move the decimal place left 2 spaces and u would get 0.024

3 0
3 years ago
How to answer this on descending powers of x please help pretty please
zheka24 [161]

Answer:  25x² - 64

<u>Step-by-step explanation:</u>

  (5x + 8)(5x - 8)

=        5x(5x - 8)   +    8(5x - 8)

=      25x² - 40x    +    40x - 64

=      25x²         + 0x           - 64

=              \large\boxed{25x^2-64}

NOTE: descending powers means the biggest exponent goes first, then the next biggest exponent, etc.

For example: x⁴ then x³ then x² then x then the number (which is actually x⁰)

4 0
3 years ago
Mr. Monasterio ran to the store for burritos at 4 miles per hour. On the way back, he increased his speed to 6 miles per hour. I
sveticcg [70]

Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)

Back from the store:

s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)

We are told that total time (t₁ + t₂) = 2 hours

t₁ + t₂ = eqn (1) + eqn (2)

\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles

∴ length of trip to the store = t₁

from eqn (1)

t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours

7 0
3 years ago
Find the zeros of y = x + 6x- 4 by completing the square.
dsp73

Answer:

\large\boxed{x=-3\pm\sqrt{13}}

Step-by-step explanation:

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Classify by degree and number of terms:
tester [92]

Answer:

cubic binomial is your answer

6 0
3 years ago
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