9514 1404 393
Answer:
1 mile
Step-by-step explanation:
5 × (1/5 mi) = 5/5 mi = 1 mi
The students ran 1 mile in all.
Answer:
24' 2 "
Step-by-step explanation:
12'11"
+ 11'3"
‾‾‾‾‾‾
23 ' 14 "
But we know there are 12 inches in a foot so subtract 12 inches and add 1 ft
14-12 = 2"
23+1 = 24 ft
24' 2 "
Answer:
= 18 red marbles
Step-by-step explanation:
Let x be the number of red marbles that must be added
Therefore;
New number or red marbles = x+12
Total marbles will be x+32
Thus;
The probability of selecting a red marble = (x+12)/(x+32)
Therefore;
(x+12)/(x+32)=3/5
5(x+12)=3(x+32)
5x+60+3x+96
2x=36
x=18
Answer:
x = 5, x = 
Step-by-step explanation:
Given
+
= 3 
= 
= 
=
( cross- multiply )
10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides
10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides
4x² - 30x + 50 = 0 ( divide through by 2 )
2x² - 15x + 25 = 0 ← in standard form
(2x - 5)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 
x - 5 = 0 ⇒ x = 5
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