3. Timmy has a total of 15 dimes and nickels in his pocket. He has 7 more
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612 students attended and 325 adults attended the play
<h3><u>Solution:</u></h3>Let "s" be the number of students attended the play
Let "a" be the number of adults attended the play
Cost of 1 adult ticket = $ 2
Cost of 1 student ticket = $ 0.75
<em><u>Given that total 937 people attended the play</u></em>
number of students + number of adults = 937
s + a = 937 ---------- eqn 1
<em><u>The total ticket sales amounted to $1,109</u></em>
number of adults x Cost of 1 adult ticket + number of students x Cost of 1 student ticket = 1109
2a + 0.75s = 1109 ---- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
s = 937 - a -------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
2a + 0.75(937 - a) = 1109
2a + 702.75 - 0.75a = 1109
1.25a = 1109 - 702.75
1.25a = 406.25
From eqn 3,
s = 937 - 325
<h3>s = 612</h3>Thus 612 students attended and 325 adults attended the play
The length of ED is half the length of AB.
<h3>What is the length?</h3>- Distance is measured by length.
- Length is a quantity with the dimension distance in the International System of Quantities.
- Most measurement systems use a base unit for length from which all other units are derived.
- The meter is the foundation unit of length in the International System of Units.
Reasons:
The given parameters are;
In ΔABC, point E is the midpoint of AC
The midpoint of BC is the point D
Segment ED = s
Segment CE = p
Segment EA = r
Segment CD = q
Segment DB = t
Segment ED = s
Segment AB = u
Required:
The expression that represents the value of .
Solution:
CE = 0.5 × AC Definition of midpoint
CD = 0.5 × CB Definition of midpoint
Therefore, we have;
Therefore, given that ∠C ≅ ∠C, by the reflexive property, we have;
ΔABC is similar to ΔCDE by Side-Angle-Side similarity
Which gives;
ED = s and AB = u which gives;
Which gives:
The expression that represents the value of s is; s = one-half u
Therefore, the length of ED is half the length of AB.
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The question you are looking for is here:
If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of s? triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED, CE equals p, EA equals r, CD equals q, DB equals t, ED equals s, and AB equals u s equals p over q s = one half s equals q over p s = 2u