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damaskus [11]
3 years ago
15

Sebastian studies from 3:15 - 4:45. His sister, Sasha studies from 4:30 - 6:15. Who studied longer and by how much

Mathematics
2 answers:
Alenkasestr [34]3 years ago
8 0
Sabastian: 1.5 hrs

Sasha : 1.75 hrs

Sasha studies .25 hrs longer (15 minutes)
Levart [38]3 years ago
7 0

Answer:

Step-by-step explanation:

Sebastian studies from 3 : 15 to 4 : 45.

the time of Sebastian's studies

  4 : 45

<u> - 3 : 15  </u>

<u>    1 : 30  </u>     hours

Sasha studies from 4:30 to 6:15.

The time of Sasha's studies

  6 : 15

<u> - 4 : 30  </u>

<u>   1  : 45 </u>       hours

Sebastian studied 1 hour 30 minutes and Sasha studied 1 hour 45 minutes.

Difference in time of study = 1 : 45

                                             <u> - 1 : 30  </u>

                                              <u>   0 : 15  </u> hours

Sasha studied longer than Sebastian by 15 minutes.

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Robert owns two dogs. Each day, one dog eats
KATRIN_1 [288]

Answer:

2/3 scoop

Step-by-step explanation:

1/6 + 1/6 = 2/6 = 1/3

Answer: 2/3 scoop

4 0
2 years ago
What is the result of dividing the distance around a circle by the distance across the same circle? What number can you use as a
tekilochka [14]

Answer: The result of the division is the number pi.

And the approximation of pi is: pi = 3.14

Step-by-step explanation:

The distance around a circle is called the perimeter of the circle.

The distance across a circle (This is a line that starts on one point of the circle, go through the center of the circle, and end in the next time it intersects the circle) is called the diameter of the circle.

The quotient between these two quantities is maybe one of the most famous numbers in the world, is the number pi, written as:

π = 3.14159265358979...

Is an irrational number, which means that the decimals keep going infinitely.

Then we can conclude that:

"The result of dividing the perimeter by the diameter, is equal to the number pi = π = 3.14159265358979..."

Because this is an irrational number and is actually impossible to write it, we usually use pi = 3.14 to aproximate it.

6 0
3 years ago
Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a
9966 [12]

Answer:

D. 3x + 1

Step-by-step explanation:

Perimeter of Rectangle ABCD = 9x + 3

Perimeter of Rectangle PQRS = 6x + 2

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

(9x + 3) - (6x + 2)

Open Parentheses

9x + 3 - 6x - 2

Collect like terms

9x - 6x + 3 - 2

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8 0
3 years ago
Which is a stretch of an exponential decay function?
Marta_Voda [28]

Answer:

The correct option is C. The function f(x)=\frac{5}{4}(\frac{4}{5})^x is a stretch of an exponential decay function.

Step-by-step explanation:

The general form of an exponential function is

f(x)=ab^x

where, a is the initial value and b is the growth factor.

If b<1, then it represents a decay function and if b>1, then it represents a growth function.

Let k be a stretch and compression factor.

g(x)=kf(x)

If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.

In third function

f(x)=\frac{5}{4}(\frac{4}{5})^x

k > 1

b < 1

Therefore the function f(x)=\frac{5}{4}(\frac{4}{5})^x is a stretch of an exponential decay function.

4 0
2 years ago
The solution to -2[1 - 4x] = 3x + 8 is
kvasek [131]

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

________________________

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0
3 years ago
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