1. The ratio of diamonds to stars was 3 to 11, and three times the number of diamonds was 2 less than the number of stars. How m
1 answer:
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Step 1
<u>Find the equation in function notation</u>
Let
h-------> the number of hours
y-------> the function for the walker fee in dollars
we know that
the hourly rate is
in this linear equation
the independent variable is the variable h
the dependent variable is the variable y
<u>Convert to function notation</u>
Let
Step 2
Find how much does the dog walker charge for a 45 minute walk
Convert the time in hours
substitute in the equation
For
therefore
<u>the answer is</u>
the dog walker charge for a 45 minute walk
<u>Statements</u>
Step 3
<u>The dependent variable is the number of hours true or false</u>
The statement is false,
because the independent variable is the number of hours and the dependent variable is the walker fee in dollars
Step 4
<u>The function for the walker fee is f(h)= 30h+6 true or false</u>
The statement is True --------> see the Step 1
Step 5
<u>The dog walker charges $22.5 for a 45 min walk true or false</u>
The statement is False
Because the dog walker charges for a 45 minute walk
Answer:
The values of x and y in the diagonals of the parallelogram are x=0 and y=5
Step-by-step explanation:
Given that ABCD is a parallelogram
And segment AC=4x+10
From the figure we have the diagonals AC=3x+y and BD=2x+y
By the property of parallelogram the diagonals are congruent
∴ we can equate the diagonals AC=BD
That is 3x+y=2x+y
3x+y-(2x+y)=2x+y-(2x+y)
3x+y-2x-y=2x+y-2x-y
x+0=0 ( by adding the like terms )
∴ x=0
Given that segment AC=4x+10
Substitute x=0 we have AC=4(0)+10
=0+10
=10
∴ AC=10
Now (3x+y)+(2x+y)=10
5x+2y=10
Substitute x=0, 5(0)+2y=10
2y=10
∴ y=5
∴ the values of x and y are x=0 and y=5