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2 years ago

12

A farmer packs 26 apples into trays for market. Each tray holds 6 apples. How many apples are in the partly filled tray? 32 chil

dren are going camping. Three children can sleep in one tent. How many tents are needed for all the children?

1 answer:

Tom [10]2 years ago

3 0

2 apples in the partly filled tray, 11 tents are needed for all the children

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Solving an exponential equation

sammy [17]

Answer:

To solve an exponential equation, take the log of both sides, and solve for the variable.

Step-by-step explanation:

Example 1: Solve for x in the equation tex2html_wrap_inline119 .

Solution:

Step 1: Take the natural log of both sides:

displaymath121

Step 2: Simplify the left side of the above equation using Logarithmic Rule 3:

displaymath123

Step 3: Simplify the left side of the above equation: Since Ln(e)=1, the equation reads

displaymath127

Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80)..

Check: Check your answer in the original equation.

displaymath131

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2 years ago

24cm long 16cm wide whars the ratio

Andrej [43]

24:16 which is simplified by dividing both sides by 8 so it becomes:
3:2

Hope this helps :)

3 0

2 years ago

The Cunninghams are moving across the country. Mr. Cunningham leaves 3 hours before Mrs. Cunningham. If he averages 40mph and sh

svp [43]

Recall your d = rt, distance = rate * time

now, if say, by the time they meet, Mr Cunningham has travelled "d" miles, that means Mrs Cunningham must also had travelled "d" miles as well.

However, he left 3 hours earlier, so by the time he travelled "d" miles, and took say "t" hours, for her it took 3 hour less, because she started driving 3 hours later, so, she's been on the road 3 hours less than Mr Cunningham, so by the time they meet, Mrs Cunningham has travelled then "t - 3" hours.

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Mr Cunningham}&d&40&t\\
\textit{Mrs Cunningham}&d&80&t-3
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=40t\\
d=80(t-3)\\
----------\\
\boxed{40t}=80(t-3)
\end{cases}
\\\\\\
\cfrac{40t}{80}=t-3\implies \cfrac{t}{2}=t-3\implies t=2t-6\implies 6=2t-t
\\\\\\
6=t$

5 0

2 years ago

What the slope of(7,3) (6,-2)

antoniya [11.8K]

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$slope = \frac{ - 2 - 3}{6 - 7} \\$

$slope = \frac{ - 5}{ - 1} \\$

$slope = 5$

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6 0

2 years ago

What is the volume of the prism that can be constructed from this net?<br><br><br> units3

kirza4 [7]

3×9=27
27×7=189 units³

I hope this helped!!!:)

4 0

2 years ago

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