${ \tt{ \sqrt[3]{27 {a}^{5} } }} \\ \\ = { \rm{( {3}^{3} {a}^{5}) }^{ \frac{1}{3} } } \\ \\ = { \rm{( {3}^{3} ) {}^{ \frac{1}{3} }( {a}^{5}) {}^{ \frac{1}{3} } }} \\ \\ = { \boxed{ \boxed{ \tt{ \: \hookrightarrow \: 3 {a}^{ \frac{5}{3} } \: \hookleftarrow}}}}$

3 0

3 years ago

The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 28 ft2 . find the dimensions

Minchanka [31]

Let the width = w.
Then the length is 3w - 5.
The area = LW = 28

w(3w - 5) = 28

3w^2 - 5w = 28

3w^2 - 5w - 28 = 0

(3w + 7)(w - 4) = 0

3w + 7 = 0 or w - 4 = 0

w = -7/3 or w = 4

The width of a rectangle cannot be a negative number, so we discard w = -7/3.

The width is 4 ft.
The length is 3w - 5 = 3(4) - 5 = 12 - 5 = 7
The length is 7 ft

Answer: The dimensions are length 7 ft and width 4 ft.

6 0

4 years ago

Addison sells plants. She sold 7 times as many as tomato plants as pepper plants, for a total of 64 plants sold. How many pepper

s344n2d4d5 [400]

She sold 8 pepper plants.

From this problem I made the equation
7p+p=64

I knew that it needed to be 7 times however many pepper plants she sold, so I substituted p until it equaled 64.

7*8+8=64
56+8=64
64=64

So she sold 8 pepper plants and 56 tomato plants for a total of 64 plants.

7 0

3 years ago

Read 2 more answers

How to do this helppp ! i need this for my finals

ruslelena [56]

Answer:

9. 168

10.

$3 {x}^{2} - 14x - 24$