Answer:
DF = 57
Step-by-step explanation:
DE + EF = DF
(4x + 10) + (2x - 1) = 9x - 15
Combine like terms on the left side
6x + 9 = 9x - 15
Subtract 6x on both sides
9 = 3x - 15
Add 15 on both sides
24 = 3x
Divide by 3 on both sides
x = 8
DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57
Checking:
(4(8) + 10) + (2(8) - 1) = 9(8) - 15
(32 + 10) + (16 - 1) = 72 - 15
58 - 1 = 72 - 15
57 = 57
Zero and six hundred thirty two thousandths
Answer:
C. 28 = (2x - 1)(x)
Step-by-step explanation:
There is a rectangular swimming pool.
Width of swimming pool is x
Length is one less than twice the width
Area of the swimming pool is 28 sq ft.
To Find : Equation could be used to model the area of the swimming pool.
Solution:
Since we are given that Length is one less than twice the width.
And width is x (given)
So, length = 2x-1
Area of the swimming pool is 28 sq ft.
Now ,
Formula of area of rectangle : Length*Width
⇒28= (2x-1)(x)
So, equation used to model the area of the swimming pool: 28= (2x-1)(x)
Hence Option c is correct.
Answer:
26.24, 13.12, 6.56, 3.28
Step-by-step explanation:
Divide the previous term with 2 to get next term. here is another pattern that is ending with 3.28
Answer:
52 cubic units
Step-by-step explanation:
1. Divide the shape into 2 parts:
The first one: a 2 by 4 by 6 rectangular prism.
The second one: a 1 by 4 by 1 rectangular prism.
2. Find the volumes of the prisms.
2*4*6=48
1*4*1=4
3. Add the two volumes
48+4=52 cubic units (or units^3)