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gulaghasi [49]
3 years ago
6

Stefan says he cannot simplify the expression

20%20%20" id="TexFormula1" title=" \frac{p^{c}}{r^{c}} " alt=" \frac{p^{c}}{r^{c}} " align="absmiddle" class="latex-formula">. Complete the statement about Stefan's claim.
Stefan (can, cannot) simplify this expression because the two parts (have, do not have) the same (base, exponent).

\frac{p^{c}}{r^{c}} is the same as:
(p * c)/(r * c)
(p/r)^c
p * c - r * c
(p/r)^c/c
no other expression

Mathematics
2 answers:
Len [333]3 years ago
6 0

1. Stefan CAN  simplify this expression because the two parts HAVE the same EXPONENT .

2. p^c/r^c is the same as (P/R)^C

I did it on TTM.

Please mark me brainliest!

stich3 [128]3 years ago
4 0

Answer:

Can; have; exponent; (p/r)^c

Step-by-step explanation:

Raising a fraction to a power means that we raise both the numerator and denominator to that same power.

The converse is also true.  If we have two powers, both of which have the same exponent, in fraction form, we can write this as the fraction made by the bases with the entire fraction raised to the power.

This means since p^c and r^c have the same exponent, we can write this as

(p/r)^c

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(50 POINTS - WILL GIVE BRAINLIEST TO MOST HELPFUL ANSWER)
cricket20 [7]

Answer:

Part A:

x + y = 80

x + 20 = y

Part B:

Pam spends 30 minutes practicing math every day.

Part C:

It is not possible for Pam to have spent 60 minutes practicing dance because this means she must have practiced math for 40 minutes (60 - 20 = 40). This would total out to 100 minutes of total practice, not 80 minutes. Therefore, this is impossible.

Step-by-step explanation:

Part A:

"She spends 80 minutes every day practicing dance and math."

x + y = 80

"She dances for 20 minutes longer than she works on math."

x + 20 = y

Part B:

Solve for x:

x + 20 = y

Isolate variable x:

x = y - 20

Plug in this new value for the first equation:

y - 20 + y = 80

Combine like terms:

2y - 20 = 80

Isolate variable y:

2y = 100

y = 50

Plug in the new value of y into any equation:

x + 50 = 80

Isolate variable x:

x = 30

Part C:

x + 20 = y

x + 20 = 60

x = 40

x + y = 80

40 + 60 = 80

100 = 80

Impossible.

8 0
3 years ago
Read 2 more answers
A town doubles its size every 8 years. If the population is currently 2,000, what will the
Semmy [17]

Answer:

8,000

Step-by-step explanation:

First there's 2,000 and if they double every 8 years. That means in the first 8 years it will double into 4,000. Lastly, the next 8 years it would double into the population being 8,000.

8 0
3 years ago
The length of a rectangle is twice as long as the width. The area is 200ft to the power of 2. Find the length and the width of t
zimovet [89]

Answer:

Length = 20feet

Width = 10feet

Step-by-step explanation:

Area of a rectangle = LW

Perimeter P= 2(L+W)

L is the length

W is the width

If the length of a rectangle is twice as long as the width, then;

L = 2W

Substitute into the foemula

A  = (2W)W

A=  2W²  

If the area is 200ft², then;

200 = 2W²

100 = W²

W = √100

W = 10ft

Since L = 2W

L = 2(10)

L = 20ft

Hence the length of the rectangle is 20feet and the Width is 10feet

6 0
3 years ago
Triangular tortilla chips have interior angles labelled A, B, and C. The measure of interior angle A is 90∘.If the measure of in
vredina [299]
Angle B = 50°

90 + 50 + 40 = 180
6 0
3 years ago
What are the solutions to the equation (x + 2)^2 = 49?
Mekhanik [1.2K]

Answer:

X= 5, -9

Step-by-step explanation:

(X+2)² =49

Expand the bracket,


(X+2) (X+2)= 49

Apply the distributive property;

X(X+2) +2 (X+2) =49

X²+2X+2X+4=49

X²+4X+4=49

Move 49 to the left side of the equation;

X²+4X+4-49=0

X²+4X-45=0

Apply Factorisation method;

Consider the form

a²+bx+c=0  

Find two numbers whose sum is equal to b and whose product is equal to c.
Comparing with our equation;

B =4 and C =45

We can use 9 and -5, this is because ;

9+(-5)=4 and 9*(-5)= 45.

Replace X +4X-45=0 with (X-5) (X+9)=0

Therefore;

X-5=0

X+9=0

Moving to the left side of the equation;

Therefore X= 5 and -9

8 0
3 years ago
Read 2 more answers
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