I guess the chef is making the mixture for the sheriff... Let <em>x</em> be the amount of dressing with 5% vinegar that is required, and <em>y</em> the amount of 15% vinegar dressing (both amounts in mL).
The sheriff wants 390 mL of the mixed dressing, so that
<em>x</em> + <em>y</em> = 390
<em>x</em> mL of the 5% dressing contains 0.05<em>x</em> mL of vinegar, while <em>y</em> mL of the 15% dressing contains 0.15<em>y</em> mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means
0.05<em>x</em> + 0.15<em>y</em> = 35.1
Solve for <em>x</em> and <em>y</em> :
<em>y</em> = 390 - <em>x</em>
0.05<em>x</em> + 0.15 (390 - <em>x</em>) = 35.1
0.05<em>x</em> + 58.5 - 0.15<em>x</em> = 35.1
23.4 = 0.10<em>x</em>
<em>x</em> = 234
<em>y</em> = 156
Draw a picture of a building and a one mile (or 5280 feet) distance to a point from the base of the building.
The angle of elevation is given as 11° and we want the height of the building or x.
tan(11°) = x/5280
5280 tan(11°) = x
1026.3 feet = x
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Answer:
D) 2/3 x - 8
E) -4x + 11
Step-by-step explanation:
y ∈ R | -∞ < y < ∞ just means that the range for y is all real numbers in a function. For y to be all real numbers, the function, when graphed, has to have no top or bottom limit. The only graphs without top or bottom limits are D and E.
A has a bottom limit
B has a bottom limit
C has a top limit
The amount of butterscotch chips needed by proportional reasoning according to the task content is; 75oz.
<h3>What is the quantity of butterscotch chips needed according to the task content?</h3>
It follows from the task content that the proportion premise given is that; 3 times as many chocolate chips as butterscotch chips is required.
On this note, it follows that when 25oz of chocolate chips is needed, the number of butterscotch chips needed will be; 3 × 25oz
= 75oz of butterscotch chips.
Read more on proportions;
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It's true, assuming that angles 1 and 2 are are at the intersection of line t and l/m
