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Debora [2.8K]
3 years ago
7

True or False? The quotient to this expression is negative 9/10 ÷ (−6/12) (9/10 and 6/12 are fractions.)

Mathematics
1 answer:
Jlenok [28]3 years ago
5 0

Answer:

Hello! Your answer is, True

Step-by-step explanation:

Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥

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How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
beks73 [17]
So, how much acid is there in 6 gallons?  well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it?  (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
3 0
3 years ago
The number of students of 7 more than 5 times the number of teacher. there are 12 theacher. how many students are there?
Alborosie

students =7+5*teachers

students = 7+5*12

students = 7+60

students = 67

5 0
3 years ago
Sally is 10 years older than one fifth of her mother’s age. If Sally is 20 years old, how old is her mother?
slamgirl [31]

S = Sally

M = Mother

S = M/5 + 10

20 = M/5 + 10

20 - 10 = M/5

10 = M/5

M = 10 * 5

M = 50

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

Her mother is 50 yo

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

50 : 5 + 10 = 20

the answer is good

4 0
3 years ago
There were 60 seventh grade students who signed up for soccer tryouts last year. This year, 48 seventh graders signed up for try
Lubov Fominskaja [6]

Answer:

20%

Step-by-step explanation:

(60 - 48) / 60 = 0.2    (20%)

3 0
3 years ago
.Solve the system of equations. Use elimination
Elina [12.6K]

Answer:

a) (-9,3)

Step-by-step explanation:

   x + 2y = -3

- (x -    y = -12)

<u />

x + 2y = -3

<u>- x + y =  12</u>

       3y =  9

          y = 3

x - y = -12

x- 3 = -12

x= - 9

(-9, 3)

6 0
3 years ago
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