Answer:
Option D is the correct answer.
Explanation:
A girl has 3 different swimsuits, 4 different shorts and 3 different pairs of flip-flops.
Different ways can this girl wear a swimsuit, a pair of short and a pair of flip-flops = 3P₁ x 4P₁ x 3P₁
= 3 x 4 x 3
= 36
Different ways can this girl wear a swimsuit, a pair of short and a pair of flip-flops = 36
Option D is the correct answer.
Question 7
(37,065 - 26, 102)/(37, 065) = P/100
(10, 963)/(37, 065) = P/100
37, 065P = (10, 963)(100)
37,065P = 109, 630
P = 109, 630 ÷ 37, 065
P = 2.9577768785
P = 295.78%
Do likewise for the rest of the questions.
To change from decimal to percent, move the decimal point two places to the right and then add the percent symbol (%).
Answer: The length of the shortest piece is 16 inches
The length of the medium piece is
20 inches
The length of the longest piece is 25 inches.
Step-by-step explanation:
Total length of the party sandwich is 61 inches. This length is to be cut into three different pieces.
Let x= the size of the longest piece.
Let y = the size of the medium piece.
Let z = the size of the shortest piece.
The middle piece will be 4 inches longer than the shortest piece. This means that
y = z + 4 - - - - - - 1
The shortest piece will be 9 inches shorter than the longest piece. This means that
x = z +9 - - - - - - -2
Since total length of the party sandwich is 61 inches, it means that
x + y + z = 61 - - - - - - -3
We will substitute equation 1 and equation 2 into equation 3. It becomes
z + 9 + z + 4 + z = 61
13 + 3z = 61
3z = 61 - 13 = 48
z = 48/3 = 16
y = z + 4 = 16 + 4
y = 20
x = z + 9 = 16 + 9
x = 25
Answer:
4 meters
Step-by-step explanation:
Assuming that the garden is a rectangular garden, its area would be length ×width.
Let the length be L meters and the width be W meters.
Area= L ×W
48= LW -----(1)
Given that the length is 3 times the width,
L= 3W -----(2)
Substitute (2) into (1):
48= 3W(W)
3W²= 48
Divide both sides by 3:
W²= 48 ÷3
W²= 16
Square root both sides:
W= 4 (reject negative as width cannot be a negative number)
Thus, the width of the garden is 4 meters.
