What's an equation in slope intercept that passes through (-7,-4) and is perpendicular to y=1/2x+9

A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o

ladessa [460]

X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%? well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution? well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that? well, (20/100) * 10, or 2 liters.

$\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}$

$\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}$

how much of the 40% solution? well y = 10 - x

3 0

3 years ago

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!

LUCKY_DIMON [66]

Answer:

3- False,
4- True

Step-by-step explanation:

<h3>Garden A</h3>

<u>Rectangle with sides</u>

Width ⇒ 2x - 3 feet
Length ⇒ 5(2x - 3) = 10x - 15

<u>Perimeter is</u>

2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36

<h3>Garden B</h3>

<u>Triangle with sides</u>

5x + 5, 4x + 2, 8x - 8

<u>Perimeter is</u>

5x + 5 + 4x + 2 + 8x - 8 = 17x - 1

<h3>Statement 3</h3>

<u>The difference in perimeters is the difference is fencing:</u>

24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35

Since it is different from 7x - 37 the statement is FALSE

<h3>Statement 4</h3>

Garden A is surrounded by a path of 2.5 ft wide

It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft

<u>So the perimeter is going to be:</u>

24x - 36 + 20 =
24x - 16

This statement is TRUE

7 0

3 years ago

Can anyone help me with this problem by factoring and list the steps please

jok3333 [9.3K]

Answer:

$m=2, m=0$

-ˋˏ✄┈┈┈┈┈┈┈┈┈┈┈┈┈

$20m^2-40m=0$

<u>Use quadratic formula:-</u>

᠃ ⚘᠂ ⚘ ˚ ⚘ ᠂ ⚘ ᠃

$m_1,_2=\frac{-(-40) -+\sqrt{x} (-40)^2-4*20*0}{2*20}$

$\sqrt{(-40)^2-4*20*0}=40$

$m_1,_2=\frac{-(-40)-,+40}{2*20}$

$m_1=\frac{-(-40)+40}{2*20},m_1=\frac{-(-40)-40}{2*20}$

$m=\frac{-(-40)+40}{2*20}:2$

$m=\frac{-(-40)-40}{2*20}:0$

$m=2, m=0$

˱ ┈ ┈ ┈ ┈ ˲

hope it helps...

have a great day!!

6 0

2 years ago

10 points to whoever answers this CORRECTLY and QUICKLY. Thanks

Ainat [17]

1 solution

x = -1/2

-------------------------------------

4 0

2 years ago

Blank% of 50 shirts is 35 shirts

Alex787 [66]

Answer: 70%

Step-by-step explanation:

A percentage is a way of writing a fraction, but with a denominator of

100

Asking the question a different way makes it easier to understand.

What percent is

35

shirts out of

50

?

This indicates that there is a fraction.

35

50

Make the denominator

100

35

50

×

2

=

70

100

=

70

%

Or to make a percent:

fraction

×

100

%

35

50

×

100

2

%

=

35

×

2

=

70

%

7 0

2 years ago