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Scrat
11 days ago
15

Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second. The distance dd (i

n feet) of the car from you after tt seconds is given by the equation ​d=|300−48t|​d=|300−48t|. At what times is the car 60 feet from you?​
Mathematics
2 answers:
Svet_ta [4.3K]11 days ago
7 0
To this problem, the solution is 5 seconds.

In this scenario, you have the initial distance of 300 feet, a car speed of 48 feet per second, and a final distance of 60 feet. You also have the equation for calculating the distance, which should simplify the problem. You're asked to find out when the distance equals 60 feet. Thus, the calculation would be:

distance= 300-48t
60 = 300ft - 48t
48t = 300 - 60 = 240
t = 5
Zina [3.9K]11 days ago
6 0

We understand that

The car's distance d (in feet) from you after a time period of t seconds is represented by the equation

d=\left|300-48t\right|

Determine the times t for d=60\ feet

insert the value of d into the equation

60=\left|300-48t\right|

Calculate t

There are two possible outcomes

First Outcome

60=+(300-48t)

60=300-48t

48t=300-60

48t=240

t=240/48

t=5\ sec

Second Outcome

60=-(300-48t)

60=-300+48t

48t=300+60

48t=360

t=360/48

t=7.5\ sec

thus

the solution is

At the instance t=5\ sec and at the instance t=7.5\ sec

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What is the empirical formula of an oxide of chromium that is 48 percent oxygen by mass?
Svet_ta [4321]

Answer:

CrO₃.

Step-by-step explanation:

First, we will find the chromium percentage in the oxide by using the following process:

Oxygen (O) = 48%

Chromium (Cr) =?

The oxide consists solely of chromium and oxygen, and its chromium percentage is calculated as:

Cr = 100 – percentage of oxygen

Cr = 100 – 48

Cr = 52%

Next, we will determine the empirical formula for the oxide:

Chromium (Cr) = 52%

Oxygen (O) = 48%

Now, we divide by their molar mass:

Cr = 52/52 = 1

O = 48/16 = 3

Now, divide by the lowest value:

Cr = 1/1 = 1

O = 3/1 = 3

Thus, the empirical formula for the oxide is CrO₃.

4 0
8 days ago
Max rides his scooter toward Kim and then passes her at a constant speed. His distance in feet, d, from Kim t seconds after he s
tester [3916]
Max's initial distance from Kim
Max's consistent velocity
5 0
7 days ago
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10 times as many as blank hundreds or 60 hundreds is blank thousands
Svet_ta [4321]

The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.

Explanation

This can be simplified as follows:

  • 10 times a given quantity of _____ hundreds results in 60 hundreds
  • 60 hundreds convert to _____ thousands

We will divide this into two segments:

\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }... Equation-1

\boxed{ \ 60 \times 100) = M \times 1,000 \ }... Equation-2

This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.

Initially, let's focus on Equation-1.

We will move the variable M to one side of the equation in order to isolate it and solve for its value.

\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }

\boxed{ \ 1,000 \times N = 6,000 \ }

Both parts will be divided by 1,000, essentially being multiplied by \frac{1}{1,000}.

\boxed{ \ \frac{1}{1,000} \times 1,000 \times N = \frac{1}{1,000} \times 6,000 \ }

Thus, we conclude with \boxed{\boxed{ \ N = 6 \ }}

Next, we process Equation-2 to derive M's value.

\boxed{ \ 60 \times 100) = M \times 1,000 \ }

\boxed{ \ 6,000 = M \times 1,000 \ }

Rearranging this equation to place M on the left side appears as follows:

\boxed{ \ M \times 1,000 = 6,000 \ }

Again, both sides undergo division by 1,000, which translates to multiplication by \frac{1}{1,000}..

\boxed{ \ \frac{1}{1,000} \times M \times 1,000 = \frac{1}{1,000} \times 6,000 \ }

This results in \boxed{\boxed{ \ M = 6 \ }}

- - - - - - -

Alternative approach for the second step:

60 hundreds equals to __ thousands

\boxed{ \ 6 \times 10 \ hundreds = \ M \ thousands} \ }

\boxed{ \ 6 \times thousands = \ M \ thousands} \ }

\boxed{\boxed{ \ M = 6 \ }}

Additional resources

  1. A more detailed version of this topic
  2. 2 thousands 7 tens divided by 10 equals what?
  3. 100 is equivalent to 1/10 of which number?

Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange

4 0
11 days ago
Read 2 more answers
Value of expression 6 3/4(-11.5)
Inessa [3907]

Answer:

6 * 3/4 = 4.5 = 9/2 = 412

Step-by-step

6 * 3/4 = 6/1  3*4 = 18/4 = 9/2

2 · 2 = 9/2

Both the numerators and denominators are to be multiplied. Retain the resulting fraction with the lowest possible denominator; GCD(18, 4) = 2. In this intermediate calculation, cancelling by the common factor of 2 results in 9

2

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In summary - six times three quarters equals nine halves.

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pat made a total of 48 pottery plates and cups if she made twice as many plates as cups how many plates did she make?
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48 divided by 3 equals 16 (cups)
Adding 16 and 16 gives 32 (which is double the number of cups)
Thus, the number of plates is 16.
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