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irakobra [83]
1 year ago
10

Gregory has 2/3 of an entire pizza. If he gives 1/4 of an entire pizza to his friend Marlene, what fraction of his partial pizza

did he give to Marlene?
Mathematics
1 answer:
Amiraneli [1.4K]1 year ago
3 0

Answer: 5/12

Step-by-step explanation:

because the denominators are not the same you have to multiply to get a common base and then you can subtract from there to see how much he has left.

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What is the ninth term in the binomial expansion of (X-2y)^13?
vlada-n [284]

Answer:

329472\cdot x^5\cdot y^8  

Explanation:

Binomial expansion is:

(a+b)^n=a^n+n\cdot a^{n-1}{\cdot b}+\frac{n(n-1)}{2}\cdot a^{n-2}\cdot b^2+------+b^n

Here in given expression we have a=x , b=-2y and n = 13

general formula for binomial expansion is:

T_{r+1} =^nC_r\cdot a^{n-r}\cdot b^r

Since, T_{r+1}

r should be one number less than the term we need to find so it will become the number we need to find like here we have to find 9th term so, r=8

substituting the values in the genral formula we will get

^13C_8\cdot x^{13-8}\cdot (-2y)^8

After substituting the values we will get

\frac{13!}{8!\cdot 5!}\cdot x^5\cdot (-2y)^8}

After simplification we will get

329472\cdot x^5\cdot y^8  which will be the 9th term of the expansion



5 0
1 year ago
Read 2 more answers
Central school is hosting a “central has talent” show. They will award various prizes for the best 3 acts in the show. First pla
Serjik [45]
Well you didn't post the expressions but let X be the amount of money for first place. This means X-50 would be the amount of second place because <span>each subsequent place after 1st wins $50 less than the previous place. Thirds, would be X-50-50 or X-100

Thus the total amount of money would be all of the values combined which is X+X-50+X-100=3X-150
</span>
8 0
2 years ago
He price of a visit to the dentist is calculated according to the formula 50+100n50+100n50, plus, 100, n where nnn is the number
weqwewe [10]
50(1+2)
(-1/2,0)
(0,50)
6 0
2 years ago
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PLS HELP ASAP I WILL IVE BRAINLIST ANSWER!!!!!Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using thi
Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

Hypotenuse^2=Base^2+Perpendicular^2

⇒ 5^2=3^2+4^2

Let a, b, c forms a Pythagorean triplet

a^2+b^2=c^2

Multiplied by 4 on both sides

⇒ 4a^2+4b^2=4c^2

⇒ {2a}^2+{2b}^2={2c}^2

Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

4 0
2 years ago
Read 2 more answers
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service Which equation
PilotLPTM [1.2K]

Answer:

c= 25+0.05m

Step-by-step explanation:

Given that,

The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service.

$25 is fixed here and charge $0.05 for each minute of service.

We need to find the equation that can be used to find the monthly charge based upon the number of minutes (m) of service each month.

c= 25+0.05m

Hence, this is the required equation.

5 0
1 year ago
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