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V125BC [204]
3 years ago
13

1. Bob’s age is twice that of his sister. When you add Bob's age to his sister's age, you get 24. How old is Bob and his sister?

(a) Write an equation that represents the situation. Explain any variable used. (b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence
Mathematics
2 answers:
zmey [24]3 years ago
7 0

Answer:

8 and 16

Step-by-step explanation:

16 + 8 = 24

yawa3891 [41]3 years ago
3 0

Answer:

a: equation is x +2x = 24 here x is the variable used for age of Bob's sister thrn Bob's age is represented by 2x.

b: x + 2x= 24

3x= 24

x = 24/3

x= 8

So Bob's sister is 8 years old and Bob is 2x = 2× 8 = 16 years old.

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P(-3,6), Q(-3,-6) and R(6,-2) are the vertices of a triangle. Calculate the perimeter of this triangle.​
Eva8 [605]

Answer:

33.89

Step-by-step explanation:

the side lengths are the distances between the corner points of the triangle.

P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.

PQ = 6 - (-6) = 6 + 6 = 12

QR and RP are trickier.

we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.

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QR = sqrt(97) ≈ 9.848857802

RP :

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3 0
3 years ago
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