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Ainat [17]
2 years ago
11

At noon, the temperature was 77 degrees, but by midnight, it had dropped to 52 degrees. What percent change is that?

Mathematics
1 answer:
Andreyy892 years ago
8 0

The percentage change in temperature is approximately: -32.5%.

<h3>What is Percentage Change?</h3>

Percentage change = (final value - initial value)/initial value × 100.

Given the following:

  • Initial temperature = 77 degrees
  • Final temperature = 52 degrees

Percentage change = (52 - 77)/77 × 100

Percentage change ≈ -32.5%.

Learn more about percentage change on:

brainly.com/question/809966

#SPJ1

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How many Solutions does this system have? (1 point)
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The given system of equation that is 2x+y=3 and 6x=9-3y has infinite number of solutions.

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<u>Solution:</u>

Need to determine number of solution given system of equation has.

\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}

Let us first bring the equation in standard form for comparison

\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}

\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

To check how many solutions are there for system of equations a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0, we need to compare ratios of \frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}

In our case,  

a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3

a_{2}  = 6, b_{2} = 3,\text{ and }c_{2} = -9

\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}

As \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}, so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

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