Answer:
Solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 we get x=2 and y=-3
Solution set = {2,-3}
Step-by-step explanation:
We need to solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7
let:
Finding value of x from equation 2 and putting in eq(1)
Putting value of x in eq(1)
So, we get y=-3
Now put value of y in equation 2 to find value of x
So, we get value of x =2
So, solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 we get x=2 and y=-3
Solution set = {2,-3}
Answer:
24
Step-by-step explanation:
Answer:
14.7 quarts
Step-by-step explanation:
Use the given equivalence figures to write a proportion. Solve the proportion for the unknown value.
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quarts/liters = x/14 = 1/0.95 . . . . . the conversion is given as 1 qt = 0.95 L
Multiply by 14 to find x.
x = 14(1/0.95) ≈ 14.7
There are about 14.7 quarts in 14 liters.
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<em>Additional comment</em>
You are given a value in liters (14 liters) and asked for the equivalent in quarts. That means you want to change the units from liters to quarts. To do that, you can multiply the given value (14 liters) by a conversion factor that has quarts in the numerator and liters in the denominator. That is what the fraction 1/0.95 is in the above. You will note that units of liters cancel in this equation.
This rule, "use a conversion factor that divides by the units you don't want and multiplies by the units you do want" applies to any units conversion problem. The conversion factor you use should <em>always</em> have <em>equal quantities</em> in the numerator and denominator. (Here, the equal quantities are 1 quart and 0.95 liters.)
You will notice that we treat units just like any variable. They can be multiplied, divided, cancelled, raised to a power. Only terms with like units can be added or subtracted.
Answer:
14.60
Step-by-step explanation:
Note that there are 100 centimeters in 1 meter. The plant is 13 meters tall, and grows 8 centimeter every month. It is asking you for 20 months worth (x = 20) of growth.
First, solve for the amount of centimeters total in 20 months:
8 centimeter per month x 20 months = 160 centimeters per 20 months.
Remember, there are 100 centimeters in every meter. Therefore:
160 centimeter/ 100 centimeters per meter = 1.60 meters.
Add the growth to the original height:
13.00 + 1.60 = 14.60
14.60 meters is your answer.
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Answer:
Step-by-step explanation:
Given
Intersecting lines
Required
Find x
To do this, we make use of:
--- angle on a straight line
Collect like terms
Divide both sides by 3
