Answer:
Box 1. 2x
Box 2. -13 (1/3) or (-40/3)
Box 3. 2x
Box 4. (2/3)x
Box 5. 3
Box 6. 3
Box 7. -20
Box order left to right.
Step-by-step explanation:
(5/3)x + (1/3)x = 13 (1/3) + (8/3)x
add numberator ( top number ); keep the denominator the same ( bottom number )
Line 1. (6/3)x or 2x = 13 (1/3) + (8/3)
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Line 2. -13 (1/3) = (8/3)x - 2x
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Ex. 3 × (-13) = 39 - 1 = (-40/3)
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Line 3. (-40/3) = (2/3)x
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Line 4. (3) (-40/3) = (2/3)x (3)
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-40 = 2x
÷2 ÷2
Line 5. -20 = x
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Sorry if this is a little confusing. I hope this helped!
Answer: Yes they form a proportion. The given equation is a true equation.
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Explanation:
The idea is that if we have
a/b = c/d
then that it is the same as
a*d = b*c
This is known as cross multiplication. We'll use this rule to get
15/12 = 4.5/3.6
15*3.6 = 12*4.5
54 = 54
We got the same value on both sides, meaning that the last equation is true. Consequently, it means the first equation is true as well (all three equations are true).
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You could also use your calculator to see that
15/12 = 1.25
4.5/3.6 = 1.25
showing that 15/12 = 4.5/3.6 is a true equation and the ratios form a proportion.
Answer:
The answer is the first
Amie should have multiplied 54 by 2/3
Step-by-step explanation:
* Lets start with the rule of the volume of each solid
∵ Volume the sphere = 4/3 π r³
∵ Volume the cylinder = π r² h
∵ The radii and the heights of the sphere and the cylinder are equal
∴ The ratio between there volumes are
4/3 π r³ : π r² h
- Lets divide each part by π r²
∴ 4/3 r : h
∵ The height of the sphere = the diameter of it = 2r
∴ The height of the cylinder = 2r
∴ The ratio will be:
4/3 r : 2r
- Now divide each part by 2r
∵ (4/3)r ÷ 2r = 2/3
∵ 2r ÷ 2r = 1
∴ The ratio is 2/3 : 1
∴ The volume of the sphere = 2/3 the volume of the cylinder
∵ The volume of the cylinder = 54 m³
∴ The volume of the sphere = 2/3 × 54 = 36 m³
∴ The answer is Amie should have multiplied 54 by 2/3
Answer:
A and C
Step-by-step explanation:
Functions are accurate through having one x intercepts which is how you can find which are functions or not.
Answer- B,D,E
