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2 years ago

Reniel saves 30% of every paycheck his paycheck last week was 560 how much did he save last week

Mathematics

1 answer:

Lynna [10]2 years ago

4 0

Solution:

we are given that Reniel saves 30% of every paycheck.

His paycheck last week was 560$.

we have been asked to find that how much Reniel saved last week?

So we will find 30% of 560 and that value will give the last week savings as below:

$560 \times \frac{30}{100}=56*3=168$

It mean Reniel saved 168$ last week.

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Solve: p+2÷6 -p-3÷3 = p

Xelga [282]

Answer:

p = - $\frac{2}{3}$

Step-by-step explanation:

you have to simplify the left side of the problem first
the 2 p's cancel each other out
now you have to do order of operations

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

2 ÷ 6 = 1/3
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1/3-1 = p

p= - $\frac{2}{3}$

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2 years ago

What is the quotient of -3/8 and -1/3?

OverLord2011 [107]

(-3/8) / (-1/3)
= (<span>-3/8) x (-3)
= 9/8
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2 years ago

Solve the equation on the interval [0,2π]

WARRIOR [948]

$\bf 16sin^5(x)+2sin(x)=12sin^3(x)
\\\\\\
16sin^5(x)+2sin(x)-12sin^3(x)=0
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\stackrel{common~factor}{2sin(x)}[8sin^4(x)+1-6sin^2(x)]=0\\\\
-------------------------------\\\\
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$\bf 8sin^4(x)+1-6sin^2(x)=0\implies 8sin^4(x)-6sin^2(x)+1=0$

now, this is a quadratic equation, but the roots do not come out as integers, however it does have them, the discriminant, b² - 4ac, is positive, so it has 2 roots, so we'll plug it in the quadratic formula,

$\bf 8sin^4(x)-6sin^2(x)+1=0\implies 8[~[sin(x)]^2~]^2-6[sin(x)]^2+1=0
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~~~~~~~~~~~~\textit{quadratic formula}
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\begin{array}{lcccl}
& 8 sin^4& -6 sin^2(x)& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
sin(x)= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}
\\\\\\
sin(x)=\cfrac{-(-6)\pm\sqrt{(-6)^2-4(8)(1)}}{2(8)}\implies sin(x)=\cfrac{6\pm\sqrt{4}}{16}
\\\\\\
sin(x)=\cfrac{6\pm 2}{16}\implies sin(x)=
\begin{cases}
\frac{1}{2}\\\\
\frac{1}{4}
\end{cases}$

$\bf \measuredangle x=
\begin{cases}
sin^{-1}\left( \frac{1}{2} \right)
sin^{-1}\left( \frac{1}{4} \right)
\end{cases}\implies \measuredangle x=
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\frac{\pi }{6}~,~\frac{5\pi }{6}\\
----------\\
\approx~0.252680~radians\\
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\approx~14.47751~de grees\\
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180-14.47751\\
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3 years ago

Why do you divide each term in the sum by the same factor that you pull out of the sum?

arsen [322]

We do so to follow the rule of divisibility of each term(numbers).

<h2 /><h3><u>The Rule of Divisibility:</u></h3>

The rule of divisibility of numbers is a method applied in mathematics used to determine if a number or set of numbers is divisible by a particular integer without any remainder.

Let assume that we have a series of numbers;

2, 4, 6, 8, 10

From the rule of divisibility, since all the numbers are multiples of 2;

We can deduce that 2 can be the factor that is pulled out from the series to divide each term in the sum.

Learn more about the rule of divisibility here:

brainly.com/question/840412

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A little help? A set of numbers is given below. √72, 9.25, √83, 2, 8.7 Which list correctly orders the numbers from least to gre

myrzilka [38]

Answer:

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2, 72^1/2, 8.7, 83^1/2, 9.25 from least to greatest

Step-by-step explanation:

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