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Tomtit [17]
3 years ago
14

Again I need this question answered I can’t do math

Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

B. 2\frac{1}{4} pounds of sauce will be used if the restaurant uses 1 pound of dough.

Step-by-step explanation:

Step 1:

The restaurant needs 1\frac{1}{2} ounces of sauce for every \frac{2}{3} pounds of dough.

To determine the amount of sauce needed for a pound of dough, we divide the 1\frac{1}{2} with the \frac{2}{3}.

Step 2:

The sauce needed for 1 pound of dough =\frac{1 \frac{1}{2} }{\frac{2}{3} }.

We must convert the mixed fractions into improper fractions. To do that we multiply the number with the denominator and add with it the numerator whereas the denominator remains the same. To convert the fraction 1\frac{1}{2} = \frac{(1)(2)+1}{2} = \frac{3}{2}  .

So the sauce needed for 1 pound of dough =\frac{\frac{3}{2} }{\frac{2}{3} } = (\frac{3}{2} )(\frac{3}{2} )= \frac{9}{4} .

\frac{9}{4} can also be written as 2\frac{1}{4}. So 2\frac{1}{4} pounds of sauce is used for a pound of dough.

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Methods of solving distance between two points
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The distance formula is an algebraic expression used to determine the distance between two points with the coordinates (x1, y1) and (x2, y2).

<span><span>D=<span><span>(<span>x2</span>−<span>x1</span><span>)2</span>+(<span>y2</span>−<span>y1</span><span>)2</span></span><span>−−−−−−−−−−−−−−−−−−</span>√</span></span><span>D=<span>(<span>x2</span>−<span>x1</span><span>)2</span>+(<span>y2</span>−<span>y1</span><span>)2</span></span></span></span>

Example

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This problem is solved simply by plugging our x- and y-values into the distance formula:

<span><span>D=<span><span>(3−(−1)<span>)2</span>+(4−1<span>)2</span></span><span>−−−−−−−−−−−−−−−−−−</span>√</span>=</span><span>D=<span>(3−(−1)<span>)2</span>+(4−1<span>)2</span></span>=</span></span>

<span><span>=<span><span>16+9</span><span>−−−−−</span>√</span>=<span>25<span>−−</span>√</span>=5</span><span>=<span>16+9</span>=25=5</span></span>

Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.

If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:

<span><span>(<span><span><span>x1</span>+<span>x2</span></span>2</span>,<span><span><span>y1</span>+<span>y2</span></span>2</span>)</span><span><span>(<span><span><span>x1</span>+<span>x2</span></span>2</span>,<span><span><span>y1</span>+<span>y2</span></span>2</span>)</span><span>
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