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Svet_ta [14]
2 years ago
13

3 3/5 + 9 3/5 answer with a mixed number in simplest form

Mathematics
1 answer:
Romashka [77]2 years ago
3 0

Both fractions have the same denominator so it's going to be easy. First set up your equation:

3 \frac{3}{5} + 9 \frac{3}{5}

Add the whole numbers:

3 + 9 = 12

Now add the fractions:

\frac{3}{5} + \frac{3}{5} = \frac{6}{5}

add both together:

12 + \frac{6}{5} = 12 \frac{6}{5}

\frac{6}{5} is an improper fraction so change it:

12 \frac{6}{5} = 13 \frac{1}{5}

Since 6 is one more than 5, add 1 to the whole number and subtract the numerator and denominator(6 - 5 = 1) and make the remaining the new numerator. That leaves you with 13 \frac{1}{5}

Your answer is 13 \frac{1}{5}

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Write an equation for the work necessary to stretch the spring from the relaxed state to distance x1
AveGali [126]
The equation stems from the principle concept of Hooke's Law. After derivation, the general equation for finding the work of a stretch spring is written below:

W = k[(x₂ - x₁) + (x₁ - xn)]
where
k is the spring constant
xn is the natural length of the spring
x₁ is the length after stretching
x₂ is the length after stretching even further

Suppose the spring was only stretched once, then x₁ = x₂. The equation is simplified to:
<em>W = k(x₁ - xn)</em>
3 0
3 years ago
Geometry - Triangle d) In the given figure, BE = EC and CE is the bisector of ZACB. Prove that ZBEC = ZACD. E B D С​
Llana [10]

Answer:

Let m∠BCE = x

Then m∠ACE = x as well since CE is bisecting ∠ACB.

  • m∠ACD + x + x = 180° ⇒
  • m∠ACD = 180° - 2x

Consider ΔBEC

<u>Since BE = EC, the opposite angles are congruent:</u>

  • ∠BCE ≅ ∠CBE

<u>Then:</u>

  • m∠CBE = m∠BCE = x

<u>Find the angle BEC:</u>

  • m∠BEC = 180° - (x + x) = 180° - 2x

<u>Comparing the above we see that:</u>

  • m∠BEC = m∠ACD
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8 0
2 years ago
Find the values for a and b that would make the following equation true (ax^2)(-6x^b)=12x^5
dedylja [7]

Answer:

x^b=x^3

Step-by-step explanation:

(ax^2)(-6x^b)=12x^5

(a)(6)=6a or a6

(x^2)(x^b)=x^5

x^3 because

(a^b)(a^c)=a^b+c

Hope this helped.

3 0
2 years ago
Please delete my all question​
PolarNik [594]

Answer: what do you mean ?

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Let's try an application problem!
mamaluj [8]

Answer: 5 ft

Step-by-step explanation:

Area of a rectangle (which is the shape of a regular flag) = L* W.

W = Area/L = 9.5/1.9 = 5ft.

8 0
2 years ago
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