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9966 [12]
3 years ago
7

Talia spent \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction of this week's allowance on candy. Of the money she sp

ent on candy, \dfrac56 6 5 ​ start fraction, 5, divided by, 6, end fraction was spent on gummy bears. What fraction of this week's allowance did Talia spend on gummy bears?
Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Answer:

\frac{5}{8}

Step-by-step explanation:

We have been given that Talia spent \frac{3}{4} of this week's allowance on candy. Of the money she spent on candy \frac{5}{6} was spent on gummy bears.

To find the fraction of this week's allowance spent on gummy bears, we will multiply both fractions as:

\text{Fraction of this week's allowance spent on gummy bears}=\frac{3}{4}\times \frac{5}{6}

\text{Fraction of this week's allowance spent on gummy bears}=\frac{3*5}{4*2*3}

\text{Fraction of this week's allowance spent on gummy bears}=\frac{5}{8}

Therefore, Talia spent \frac{5}{8} of this week's allowance on gummy bears.

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What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3

\implies \dfrac{6!}{3!3!}a^{3}b^3

\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3

\implies \left(\dfrac{120}{6}\right)a^{3}b^3

\implies 20a^3b^3

7 0
2 years ago
If the area of the blue square is 144 units2 and the area of the pink square is 1225 units2, then the length of the hypotenuse i
navik [9.2K]

Answer: 37 units

Step-by-step explanation:

Blue=144units^2 This also works as the height of the triangle.

Pink=1225units^2 This also works as the base of the triangle.

Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.

To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.

Formula: A=s^2

s=\sqrt[]{A}

Let's work with Blue.

s=\sqrt[]{144units^2} \\s=12units

Now Pink.

s=\sqrt[]{1225units^2}\\s=35units

So we have a triangle with a base of 35 units and a height of 12 units.

Now let's use the pythagoream's theorem to solve.

c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units

7 0
3 years ago
Whats 4n = 880.4's solution??
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Answer:

n = 220.1

Step-by-step explanation:

  • 4n = 880.4
  • n = 880.4 ÷ 4
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the value of n is 220.1

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2 years ago
The probability of a certain plant growing taller than 4 meters is 1/3. If I plant 2 of these plants, find the probability that
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\frac{1}{3}^2\\\frac{1}{3}*\frac{1}{3}\\\frac{1}{9}

1 / 9
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tigry1 [53]

Answer:

I am a student who’s studying in a prestigious college in Bangalore city. It’s a city where I grew up. I live in a town with my family. The school I studied till 12th is also in the town.

Things I am good at

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I have always been energetic and lively. While many people feel awkward and weird, making me friends, I have no problems with making new friends. I can talk to everyone quickly and know them.

This is not about me took it from the web!!

Hope it helps!!!

8 0
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