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3 years ago

Evaluate the expression when a=2 and b=20. 50a - 2b + 6 = [ ? ]

Mathematics

1 answer:

masha68 [24]3 years ago

3 0

Hey there! I'm happy to help!

Let's plug in the values for a and b.

50(2)-2(20)+6

If a number is next to the parentheses you multiply.

100-40+6

60+6

Have a wonderful day! :D

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Which best explains whether a triangle with side lengths 2in , 5in , 4in. is an acute triangle

lutik1710 [3]

So we know that 3,4 and 5 are pythagorean triplet and these result from a right triangle sides length
- than 3,4 and 5 mean right triangle so 2,5 and 4 mean acute triangle sure or you can prove it in this way too
- than 3^2 +4^2 =5^2 => a right triangle so than
2^2 +4^2 < 5^2 => an acute triangle

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3 years ago

Solve this step by step

Kaylis [27]

Step-by-step explanation:

the formula to calculate a circumference is

$x \times \pi$

(consider x as the diameter)

so I'll be noting the circumference as C alongside the circle's ranking

$ca = 6 \times 22 \div 7 \\ = 44 \div 7$

$cb = 7 \times 22 \div 7 \\ = 154 \div 7 \\ = 22$

$cc \: = 4 \times 22 \div 7 \\ = 88 \div 7$

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3 years ago

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

$\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}$

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3 years ago

Find the midpoint M of the line segment joining the points S = (1, -2) and T = (-7,-6).

mafiozo [28]

Answer:

(-3 ,-4)

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2 years ago

What is the difference of 56.45 and 49.26

vodomira [7]

Answer:

7.19

Step-by-step explanation:

56.45

- 49.26

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

07.19

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3 years ago

Read 2 more answers

Evaluate the expression when a=2 and b=20. 50a - 2b + 6 = [ ? ]​

Evaluate the expression when a=2 and b=20. 50a - 2b + 6 = [ ? ]