Exercise

1. If we multiply by three the numerator of a fraction and add 12 to the denominator, the value of the fraction is three quarters, and if the numerator increases in 7 and the denominator trebles the value of the fraction is a way, finds the fraction.

Please I am grateful for them to him very much thank you for the given attention...:)

Answers

Answer 1

Answer: x - nominator
y - denominator

$(3x)/(y+12)=(3)/(4)\n (x+7)/(3y)=(1)/(2)\n\n 3(y+12)=12x\n 2(x+7)=3y\n\n 3y+36=12x\n 2x+14=3y\n\n 2x+14+36=12x\n 10x=50\n x=5\n\n 3y=2\cdot5+14\n 3y=10+14\n 3y=24\n y=8\n\n (x)/(y)=\boxed{(5)/(8)}$

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Which statement is true? A.
–14 + 21 = –24 + 17

B.
16 + (–6) > 24 + (–13)

C.
–14 + (–10) > 2 + (–28)

D.
–10 + (–8) > –12 + (–4)

Answers

A) -14 + 21 = -24 + 17 is false. There is no solution.
B) 16 + (-6) > 24 + (-13) is false. There is no solution.
C) -14 + (-10) > 2 + (-28) is true. It has infinite solutions.
D) -10 + (-8) > -12 + (-4) is false. There is no solution.

Answer: C

HELP PLEASEEE!!! BRAINLIEST!!!Which expression correctly shows 20x^4−25x^3+60x^2−75x factored completely over the integers?

(x^2+3)(4x−5)
5x^2(x+4)(3x−5)
5x(x^2+3)(4x−5)
5x(x^2−3)(4x+5)

Answers

The expression correctly shows 20x⁴-25x³+60x²-75x will be 5x(x²+3)(4x-5).Option C is correct.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

The expression is,

=20x⁴-25x³+60x²-75x

Take 5x³ from the first two terms and 15x from the third and fourth terms as

=20x⁴-25x³+60x²-75x

=5x³(4x-5) + 15x(4x-5)

=(5x³+15x)(4x-5)

Thus, the expression correctly shows 20x⁴-25x³+60x²-75x will be 5x(x²+3)(4x-5). Option C is correct.

Learn more about the equation here,

brainly.com/question/10413253

#SPJ2

Step-by-step explanation:

The third option: 5x(x^2+3)(4x-5)

because FOIL first, inner, outter, last

The two parentheses become (4x^3-5x^2+12x)

then 5x outside multiplys that whole parentheses. To get your correct expression

Please help me!
5/6 x 138

Answers

The correct answer would be 115.

$1,200, 3.9%, 8months

Answers

Answer:

$1231

Step-by-step explanation:

Given,

Principal amount = $1200

Rate of interest = 3.9%

Time = 8 months or (8/12) 0.666667 years

Formula of simple interest = $A=P(1+rt)$

$A=1200(1+(3.9* 0.666667)/(100))$

A = 1200(1+(0.039 × 0.666667))

A = 1200 (1+0.026)

A = 1200 (1.026)

A = $1231

1,200(1.039)^.66666
1200(1.02583386437)
$1231.00

The exponential function f(x) = 215e^0.0325x models the Siberian tiger population of China, f(x), x yearsafter 1990. If this trend continues, predict the Siberian tiger’s population in Chins in the year
2030.