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Leokris [45]
3 years ago
6

Evaluate the expression. 202 + 6(9 + 3)

Mathematics
2 answers:
Yakvenalex [24]3 years ago
7 0

Answer:

= 274

Step-by-step explanation:

202 + 6(9 + 3)

= 202 + 9 * 12

= 202 + 72

= 274

andrew11 [14]3 years ago
5 0

Answer:

Step-by-step explanation:

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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
In june 2005, Peter mailed a package from his local post office in Fayetteville North Carolina to a friend in Radford, virginia
den301095 [7]

The total price that Peter paid for the local parcel = $2.07

The rate per ounce at that time was = $0.23/ounce

Total weight of Peter's package = Total price paid by peter/ rate per ounce

Total weight of Peter's package = $2.07/$0.23 per ounce

We now have to divide 2.07/0.23 = 207/23 (Shifting both numerator and denominator by 2 decimal places) = 9

Total weight of Peter's package = 9 ounces



8 0
3 years ago
Shelly has a roll of fabric and decides to make some scarves for her friends. The roll contains 623
swat32

Total length of the fabric is 6\frac{2}{3} =\frac{20}{3}

We need to find the number of scarves can she make if she needs 5/6 of a yard for each scarf.

Let she needs x scarves. So, ATQ

Hence, she can make 8 scarves.

5 0
2 years ago
The length of a rectangle is four times its width. If the perimeter of the rectangle is 20 feet, how many feet long is the recta
Gemiola [76]
Largeur = x
longueur = 4 x 

2 ( x + 4 x) = 20
2 x + 8 x = 20 
10 x =20
x = 2

largeur  = 2 et longueur = 8
8 0
3 years ago
If 20% of a number is 10, what is the whole number?​
vagabundo [1.1K]

Answer:

100

Step-by-step explanation:

20%-10

20%*5=100%--10*5=100

4 0
3 years ago
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