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Elena-2011 [213]
4 years ago
13

How much of a spice that is 30% salt should be added to 175 ounces of a spice that is 65% salt in order to make a spice that is

50% salt?
Mathematics
1 answer:
klasskru [66]4 years ago
5 0
\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{30\% spice}&x&0.30&0.30x\\
\textit{65\% spice}&175&0.65&(175)(0.65)\\
-----&-----&-------&-------\\
mixture&x+175&0.50&(x+175)(0.50)
\end{array}

so.. as you can see, we use the decimal notation for the percentages... 65% is just 65/100 and 50% is just 50/100 and so on

so.. whatever the salted amounts are, we know they'll add up to (x+175)(0.50)

thus  (0.30x) + (175)(0.65) = (x+175)(0.50)

solve for "x"
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What is the slope of the line?
White raven [17]

Answer:

-\frac{2}{3} x

Step-by-step explanation:

Hey there!

To find slope, you take \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case

y2: 6

y1: 4

x2: -3

x1: 0

Now we plug in this information

\frac{6-4}{-3-0} \\\\\frac{2}{-3} \\\\-\frac{2}{3}

Since this is the slope, you have to add a "x"

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5 0
3 years ago
PLEASE HELP!!! I need the answer and the work to go along with it.
Masja [62]
----------------------------------------------------------------------------------------------------
Check the picture attached.

the secants of the circle, BA and DC, intersect at point P, as shown.

i)
let m(P)=a

ii)
let m(CDA)=b, then the measure of ar CA is 2b, as "the measure of an inscribed angle is half the measure of the arc it intercepts"

iii)
m(DAB)= m(P)+m(CDA)= a+b, as DAB is an exterior angle of the triangle PAD.

iv)
then the measure of arc DB is 2m(DAB)=2(a+b)=2a+2b

v)
m(P)= \frac{(2a+2b)-2b}{2}= \frac{m(DB)-m(CA)}{2}

This is always true,
----------------------------------------------------------------------------------------------------

In our problem, there is a slight difference, we have 1 secant and one tangent, but it is just a special case and nothing changes.

As an exercise, we can repeat the steps of the general proof, by first joining U and T.
----------------------------------------------------------------------------------------------------

by the theorem we just proved,

m(R)=(m(TU)-m(SU))/2

30°=(100°-m(SU))/2

60°=100°-m(SU)

m(SU)=40°

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3 years ago
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viva [34]
Every term is 3 times the previous onenote that 1/9 times 3/1=3/9=1/3 which is the next term
so 1 times 3=next term=3
next term is 3

5 0
3 years ago
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