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Alik [6]
2 years ago
13

3 less than the quotient of 18 and a number m in algebraic expression

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
5 0

Answer:

18/m - 3

Step-by-step explanation:

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When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam. They had 504 chocolates altogether. How m
IgorLugansk [536]

Answer:

315 chocolate

Step-by-step explanation:

Let Sam's chocolate be S

Let Clariss's chocolate be C

When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.

This can be written as:

C = 5S

The sum of their chocolate is 504 i.e

S + C = 504

Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:

S + C = 504

But: C = 5S

S + 5S = 504

6S = 504

Divide both side by 6

S = 504/6

S = 84.

C = 5S = 5 x 84 = 420

Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.

Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:

Amount of chocolate that Clarissa has a first = 420 – 105 = 315

Therefore, Clarissa had 315 chocolate at first.

3 0
3 years ago
if an external point of a circle is at a distance equal to the diameter of the circle from the center of the circle, the length
jeka57 [31]

Let the radius of the circle be r. Then the line from the external point through the center of the circle which extends to the far point on the circle has length 3r .By the tangent - secant theorem

t^2 = 3r * r = 3r^2 ( where t is the length of the tangent).

So t = √(3r^2) = √3r answer.

7 0
3 years ago
What are factors of 112? Explain your reasoning.
blondinia [14]

Answer:

1,2,4,7,8,14,16,28,56,112

Step-by-step explanation:

12 is a composite number. 112 = 1 x 112, 2 x 56, 4 x 28, 7 x 16, or 8 x 14

3 0
3 years ago
Really need this todayyyyyy
Bond [772]

Answer:

Q3: x1=2+i, x2=2-i Q4: x1=-3/2+i, x2=-3/2-i

Step-by-step explanation:

x^{2} - 4x + 5 =0

( 4± \sqrt{16 - 4*1*5} ) / 2 = (

x1= 2+i

x2= 2-i

2x^{2} +6x + 5 =0

( -6 ± \sqrt{36 - 4*2*5} ) / 4 = (-6 ± \sqrt{-4} )/4= (-3 ± i)/2

x1 = -3/2 +i

x2 = -3/2 -i

7 0
3 years ago
Read 2 more answers
Use Fermat's Little Theorem to determine 7^542 mod 13.
m_a_m_a [10]

a^{p-1} \equiv 1 \pmod p where p is prime, a\in\mathbb{Z} and a is not divisible by p.

7^{13-1}\equiv 1 \pmod {13}\\7^{12}\equiv 1 \pmod {13}\\\\542=45\cdot12+2\\\\7^{45\cdot 12}\equiv 1 \pmod {13}\\7^{45\cdot 12+2}\equiv 7^2 \pmod {13}\\7^{542}\equiv 49 \pmod{13}

4 0
3 years ago
Read 2 more answers
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