Answer:
8/5
Step-by-step explanation:
The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the number of months.
For Caroline's hair:
Length = (1/5)x + 7
For Trinity's hair:
Length = (1/10)x + 10
For Caroline's hair to be at least as long as Trinity's hair, hence:
(1/5)x + 7 ≥ (1/10)x + 10
The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10
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The answer is 25:1 or 25 to 1. They are the same thing thought.
Answer:
Step-by-step explanation:
The driveway has the shape of a cuboid. The formula for determining the volume if a cuboid is expressed as
Volume = L × W × H
Where
H represents the thickness of the gravel to be added to the driveway.
W represents the width of the driveway.
L represents the length of the driveway.
From the information given,
L = 15 yards
W = 3 yards
H = 6 inches.
36 inches = 1 yard
6 inches = 6/36 = 0.167 yard
Therefore, the volume of gravel required would be
V = 15 × 3 × 0.167 = 7.515 cubic yards
Answer:
A. Infinitely many solutions.
Step-by-step explanation:
The row and column numbers are equal in the echelon. This rows have 0001 numbers which indicates that there is free variable at the end. The reduced row echelon has equal number of rows and columns. There are infinitely many solution as the numbers in the rows are zero ending of the free variable 1. If there is no free variable then there will be no solution.
