Answer:
5x+3y+(-x)+6z
5x+(-x)+3y+6z
4x+3y+6z
The facts to apply is PEMDAS which is parenthesis,exponents, multiplication,division,addition and subtraction.
Then group like terms if there are any.
You finally get to a simplified answer if there are no like terms
Answer:
Dharma and Jorge should purchase a group plan.
They could save $9.55
Step-by-step explanation:
A group plan will cost an average of $135.95 per month.
An individual plan will cost an average of $72.75 per month.
Two individual plans will cost an average of
per month.
Since $145.50 > $135.95, Dharma and Jorge should purchase a group plan.
They could save
Answer:
1:500000
Step-by-step explanation:
1 mm (map) equals 500 m (actual) .
Let's convert 500 m to mm.
1m = 1000mm
500m = 500000 mm
So 1mm to 500000mm on a scale is
1:500000
So it's all about converting the metre to million metre then doing the ratio.
In this case we are not to divide anything because it's already in 1.
So it's 1mm on paper then 500000mm on actual.
Thank you
Answer:
<h2>58°</h2>
Step-by-step explanation:
We will use the tangent function since we know the opposite and adjacent sides.
Tangent = opposite/adjacent
Tan(e) = 16/10
Tan(e) = 1.6
Use the inverse tangent function to find the angle.
Arctan (1.6) = 57.9946168
Rounding this we get: 58°
To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.
We get the volume of the cuboid by multiplying the base by the width by the length:
Volume of cuboid = 6 x 6 x 4
= 144m³
Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.
Volume of pyramid = 6 x 6 x 8 ÷ 3
= 96m³
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Answer:
Now that we know the two volumes, we simply add them together:
144 + 96 = 240m³
So the volume of the composite sold is 240m³
