B. We know the area of a triangle is 12cm? We also know the height is 6 cm. Find
1 answer:
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The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25
<em><u>Solution:</u></em>
Let d" be the price of 1 drink
Let "p" be the price of 1 pretzel
Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50
<em><u>Therefore, we can frame a equation as,</u></em>
3 x price of 1 drink + 10 x price of 1 pretzel = 54.50
3d + 10p = 54.5 ---------- eqn 1
Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25
9 x price of 1 drink + 5 x price of 1 pretzel = 57.25
9d + 5p = 57.25 ---------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Multiply eqn 1 by 3
9d + 30p = 163.5 ----- eqn 3
<em><u>Subtract eqn 2 from eqn 3</u></em>
9d + 30p = 163.5
9d + 5p = 57.25
( - ) -----------------------
25p = 106.25
p = 4.25
<em><u>Substitute p = 4.25 in eqn 1</u></em>
3d + 10(4.25) = 54.5
3d + 42.5 = 54.5
3d = 54.5 - 42.5
3d = 12
d = 4
Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25
Answer:
<h2>x = 3.1</h2>Step-by-step explanation:
<h3><u>To solve first take logarithm to both sides</u>
That's
<h3>But
<h3>So we have
<u>Write 1200 as a number with the factor 100</u>
That's
1200 = 100 × 12
So we have
<h3><u>Using the rules of logarithms</u>
That's
<h3>Rewrite the expression
That's
<h3>x = 3.079
So we have the final answer as
<h3>x = 3.1 to one decimal place</h3>Hope this helps you