All categories

3 years ago

Solve 27 = 3^4x + 1? a) 1/4 b)1/2 c)2 d)4

Mathematics

2 answers:

lukranit [14]3 years ago

7 0

Answer:

$x=1/2$

Step-by-step explanation:

$27 = 3^{4x+1}$

$3^3 = 3^{4x+1}$

$3=4x+1$

$2=4x$

$2/4=x$

Artemon [7]3 years ago

5 0

Answer:

Step-by-step explanation:

27 = 3^3

3 = 4x + 1

2 = 4x

x = 1/2

You might be interested in

Carl has 1,064 legos. sharon has 19 time the amount of legos. how many legos does sharon have

Tasya [4]

1064 x

________

20216 legos

Sharon has 20216 legos

8 0

3 years ago

ariana takes a handful of cookies and divides them evenly between her 3 kids. then she grabs one more cookie for each kid. if ea

Virty [35]

Answer:

9 cookies in her original handful

Step-by-step explanation:

3 times 4 equals 12

12-3=9

4 0

3 years ago

How do the expressions 72 / 9 and -72/ (-9) compare when they are evaluated?

Artemon [7]

Answer:

Step-by-step explanation:

72/9=8

-72/-9=8 because negative/negative=positive.

7 0

3 years ago

Read 2 more answers

Which is a true statement about the data shown in the tables?

myrzilka [38]

Answer:

Step-by-step explanation:

Neither table os a linear relation

8 0

3 years ago

Read 2 more answers

A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th

Rufina [12.5K]

Answer:

Part 1) The base is $25\ in$ and the height is $10\ in$

Part 2) The base is $7.5\ in$ and the height is $18.75\ in$

Step-by-step explanation:

case 1) Right isosceles triangle of the left

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

$y+x+y=45$

$2y+x=45$ ----> equation A

$\frac{x}{y} =\frac{5}{2}$

$x=2.5y$ -----> equation B

substitute equation B in the equation A

$2y+2.5y=45$

$4.5y=45$

$y=10\ in$

Find the value of x

$x=2.5(10)=25\ in$

case 2) Right isosceles triangle of the right

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

$y+x+y=45$

$2y+x=45$ ----> equation A

$\frac{y}{x} =\frac{5}{2}$

$y=2.5x$ -----> equation B

substitute equation B in the equation A

$2(2.5x)+x=45$

$6x=45$

$x=7.5\ in$

Find the value of y

$y=2.5(7.5)=18.75\ in$

3 0

3 years ago