What is this answerSimplify to create an equivalent expression. \qquad{8k-5(-5k+3)}8k−5(−5k+3)

Mathematics

2 answers:

Licemer1 [7]3 years ago

6 0

Answer:

33k - 15

Step-by-step explanation:

Given expression,

$\qquad{8k-5(-5k+3)}$

By the distributive property,

$=8k-5(-5k) - 5(3)$

$=8k+25k-15$

By combining like terms,

$=33k-15$

∵ Further simplification is not possible,

Hence, the required simplified form of the given expression is,

$33k-15$

marissa [1.9K]3 years ago

3 0

Answer:

33k-15

Step-by-step explanation:

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Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$