Answer:
Lola was in lead for
of a mile.
Step-by-step explanation:
We have been given that Lola and Brandon had a running race. They ran 3/10 of a mile. Lola was in the lead for 4/5 of the distance.
To find the fraction of a mile for which Lola was in the lead, we need to find 4/5 of 3/10 as:




Therefore, Lola was in lead for
of a mile.
Answer:
18
Step-by-step explanation:
Sum the parts of the ratio, 3 + 4 = 7
Divide the amount of marbles by 7 to find the value of one part of the ratio
42 ÷ 7 = 6 ← value of 1 part of the ratio, thus
red marbles = 3 × 6 = 18
Answer:
3V/b = h
Step-by-step explanation:
Step 1: Write equation
V = 1/3bh
Step 2: Multiply both sides by 3
3V = bh
Step 3: Divide both sides by b
3V/b = h
Answer:
x= 0 ,
, 
Step-by-step explanation:
Given, equation is
+
=
. →→→ (1)
Now, by cubing the equation on both sides, we get
(
+
)³ = (
)³
⇒ (15x-1) + (13x+1) + 3×
×
(
+
) = 64 x.
⇒ 28x + 3×
×
(
) = 64x.
(since from (1),
+
=
)
⇒ 12×
×
(
)= 36x.
⇒ 3x =
.
Now, once again cubing on both sides, we get
(3x)³ = (
)³.
⇒ 27x³ = (15x-1)(13x+1)(x).
⇒ 27x³ = 195x³ + 2x² - x
⇒ 168x³ + 2x² - x = 0
⇒ x(168x² + 2x -1) = 0
⇒ by, solving the equation we get ,
x = 0 ; x =
; x = 
therefore, solution is x= 0 ,
, 
The possible outcomes for the coin is 2 out of 1 since a coin has 2 sides the coin may only land on 1 side but the chances are between both sides having a 50/50 chance to land on either side.