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sladkih [1.3K]
3 years ago
12

Alexander started with 40 pieces of candy and gave away x pieces. Tristen started with 65 pieces of gum and gave away twice as m

any pieces as Tristen did. How many pieces of gum was given away if they had the same number of pieces of gum left?
Mathematics
1 answer:
KengaRu [80]3 years ago
4 0

Answer:

35

Step-by-step explanation:

x + 2x=3x        65+40=105

105/3x=35

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Answer:

s = 2t₁ + t₂

3 possible combinations:

t₁ = 0 min , t₂ = 8 min

t₁ = 1 min , t₂ = 6 min

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Step-by-step explanation:

The distance covered by a body in uniform motion is given by the following equation:

s = vt

where,

s = distance

v = speed

t = time

For running:

s = s₁

t = t₁

v = 2 miles/min

Therefore,

s₁ = 2t₁

For walking:

s = s₂

t = t₂

v = 1 miles/min

Therefore,

s₂ = t₂

And the total distance will be:

s = s₁ + s₂

<u>s = 2t₁ + t₂</u>

where,

s = total distance covered in miles

t₁ = running time in min

t₂ = walking time in min

Now, the total distance is given as 8 miles:

8 = 2t₁ + t₂

So, the 3 possible combinations of time to satisfy this equation can be:

<u>t₁ = 0 min , t₂ = 8 min</u>

<u>t₁ = 1 min , t₂ = 6 min</u>

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Which value must be added to the expression x^2+12x to make it a perfect-square trinomial?
Studentka2010 [4]

Answer:

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Step-by-step explanation:

A perfect square is a trinomial that factors into the form (x+a)^2. To find the value to add to it divide 20 by 2 and square it.

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This means c=36. The factored form is (x+6)^2.

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Step-by-step explanation:

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Answer:

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