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goblinko [34]
2 years ago
7

You Just received a 6 percent raise in allowance or an increase of 312.00 per year how much per year were you earning before the

RAISE
Mathematics
1 answer:
Alona [7]2 years ago
6 0

before the raise you were earning 100% of "x", we also know that 6% of "x" is 312, since that is what you've got in the raise, therefore

\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 312&6 \end{array}\implies \cfrac{x}{312}=\cfrac{100}{6}\implies \cfrac{x}{312}=\cfrac{50}{3} \\\\\\ 3x=15600\implies x = \cfrac{15600}{3}\implies \boxed{x = 5200}

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After a 2 1/2 hour rainstorm, there are 5 inches of water in a bucket outside. What is the rate per inch?
xeze [42]

Answer:

2 inches per hour

Step-by-step explanation:

2 1/2 hours is equivalent to 150 minutes.

Set up a proportion; let x equal inches of rain

\frac{5}{150}=\frac{x}{60}

Cross multiply -> 150x=300

Divide both sides by 150 to get -> x=2

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3 years ago
Consider the linear equation x- 3/2y = 2
Allisa [31]

Answer:

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Step-by-step explanation:

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7 0
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6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1
jeka57 [31]

Answer:

111111 \times 1111110 is the simple expression.

Step-by-step explanation:

The expression to be solved:

\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}

First of all, let us solve the first term:

\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111

Now, the right term:

\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111

So, the expression to be solved becomes:

1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110

3 0
3 years ago
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oee [108]

Answer:

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x = sin^-1 (24/30) = 53.13

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aksik [14]
X/3 - 5 is the answer
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