Answer:
PA) 8
PB) 45
Step-by-step explanation:
PA) Find the prime factors of each term in order to find the greatest common factor (GCF).
8
PB)
Step 1:
(8 x 5) + (16 x -1)
Step 2: Multiply
40 + 15
Step 3: Add
45
Answer:
Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.
Step-by-step explanation:
First, we need to <em>divide</em> 927.8 miles by 5.
927.8 ÷ 5 = 185.56 is her daily mileage, including the detour.
Since her detour <em>added </em>17.3 miles to her <em>daily mileage</em>, we need to <em>subtract </em>this from her current daily mileage.
185.56 - 17.3 = 168.26 is her daily mileage when there is no detour.
Now, in order to find her mileage for 5 days, we need to <em>multiply</em> this number by 5.
168.26 x 5 = 841.3
Therefore, Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.
Answer:
Step-by-step explanation:
1) 7x - 14 = 2x + 11 {Add 14 to both sides}
7x - 14 +14 = 2x + 11 +14
7x = 2x + 25
7x - 2x = 2x + 25 - 2x
5x = 25 {Divide both sides by 5}
5x/5 = 25/5
x = 5
2) 6x + 5 = 3x + 14
6x = 3x + 14 - 5
6x = 3x + 9
6x - 3x = 9
3x = 9
x = 9/3
x = 3
3) 12x + 5 = 4x +37
12x = 4x + 37 - 5
12x = 4x + 32
12x - 4x = 32
8x = 32
x = 32/8
x = 4
4) 3x + 8 = 2x + 21
3x = 2x + 21 - 8
3x = 2x + 13
3x - 2x = 13
x = 13
5) 5x + 3 = x + 11
5x = x + 11 -3
5x = x + 8
5x - x = 8
4x = 8
x= 8/4
x = 2
Answer:
168 cm³
Step-by-step explanation:
The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.
So, the third side of the triangle = 
cm.
{Since we have applied the Pythagoras theorem.}
Hence, the area of the base triangle is 
cm².
Therefore, the volume of the prism is = 
cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}
(Answer)
