Let: eq 1:2x+5y=-55
eq 2:y=3x+6
by substituting eq 2 in eq 1 we get,
2x+5(3x+6)=-55
2x+15x+30+55=0
17x + 85=0
x=-85/17
x=-5
By substituting x value in eq 2,
we have,
y=3(-5)+6=-15+6=-9
Answer:
x = 10
Step-by-step explanation:
Using the Pythagorean theorem:
8² + 6² = x²
64 + 36 = x²
x² = 100
x = 10
Answer:
= 8.33 inches
Step-by-step Explanation
First add 49 + 16, which equals 65, and subtract that result from 180, since a triangle equals 180 degrees and you find out angle C is equal to 115 degrees.
Now using the formula sinA/a = sinB/b = sinC/c, plug in values and you'd get the equation sin49 x 10/sin115. After solving the equation you'd get about 8.32729886047258 inches.
= 8.33
The exponential equation that gives the number of bees in week 12 is of:
<h3>What is an exponential function?</h3>
It is modeled by:
In which:
In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:
Hence, after 12 weeks, the expression is:
More can be learned about exponential equations at brainly.com/question/25537936
The solution of the given inequality is:
x ≤ 15.24
<h3>
How to solve the inequality?</h3>
We know that the maximum that she can spend on gasoline is the 12% of $400.
That is:
(12%/100%)*$400 = 0.12*$400 = $48
Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:
x*$3.15 ≤ $48
To solve the inequality, we need to divide both sides by $3.15
x ≤ $48/$3.15
x ≤ 15.24
So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).
If you want to learn more about inequalities:
brainly.com/question/18881247
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