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3 years ago

Deepa finds some dimes and quarters under the couch cushions. How much money

Mathematics

1 answer:

sergiy2304 [10]3 years ago

8 0

Answer:

$2.25

Step-by-step explanation:

10*0.10= $1.00

5*0.25= $1.25

1+1.25= $2.25

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Is y=9x proportinal?

igor_vitrenko [27]

Answer:

yeah it is

y is directly proportional to x

proportionality constant is 9

7 0

3 years ago

Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use

QveST [7]

$\bf 27\implies 3^3\\\\
i^3\implies i\cdot i\cdot i\implies i^2\cdot i\implies -1\cdot i\implies -i\\\\
-----------------------------\\\\
x^3-27i=0\implies x^3+3^3(-i)=0\implies x^3+(3^3i^3)=0
\\\\\\
x^3+(3i)^3=0\\\\
-----------------------------\\\\
\textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3\\\\
-----------------------------\\\\$

$\bf (x+3i)[x^2-3ix+(3i)^2]=0\implies 
\begin{cases}
x+3i=0\implies \boxed{x=-3i}\\\\
x^2-3ix+(3i)^2=0
\end{cases}
\\\\\\
\textit{now, for the second one, we'd need the quadratic formula}
\\\\\\
x^2-3ix+(3i)^2=0\implies x^2-3ix+(3^2i^2)=0
$

$\bf x^2-3ix+(-9)=0\implies x^2-3ix-9=0
\\\\\\
\textit{quadratic formula}\\\\
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}\implies x=\cfrac{3i\pm\sqrt{(-3i)^2-4(1)(-9)}}{2(1)}
\\\\\\
x=\cfrac{3i\pm\sqrt{(-3)^2i^2+36}}{2}\implies x=\cfrac{3i\pm\sqrt{-9+36}}{2}
\\\\\\
x=\cfrac{3i\pm\sqrt{27}}{2}\implies \boxed{x=\cfrac{3i\pm 3\sqrt{3}}{2}}$

7 0

3 years ago

A washer and dryer cost a total of $1280. The cost of the washer is three times the cost of the dryer. Find the cost of each ite

nexus9112 [7]

Answer:

Dryer = 320

Washer = 960

Step-by-step explanation:

Washer + Dryer = 1280

Let,

Dryer = x

Washer = 3x

3x + x = 1280

4x = 1280

x = 320

Washer = 3x = 3(320)=960

960 + 320 = 1280

Thus,

Dryer = 320

Washer = 960

<u><em>~lenvy~</em></u>

7 0

3 years ago

The sum of two numbers is 30. their product is 176 what are the two sums

ivolga24 [154]

Answer:

8 and 22

22+8=30

22x8=176

6 0

3 years ago

You work 40 hours/week for 50 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e

yaroslaw [1]

33,000 a year

17 x 40 x 50 = 34, 000 a year

33,000 x 110 % = 36,300 a year

17 x 40 x 50 + 2,000 = 36,000 a year

The situation that will earn the most will be the third situation

hope this helps

3 0

3 years ago

Read 2 more answers