<span>If set X is made up of the possible ways five students, represented by A, B, C, D, and E, can be formed into groups of three, then the set X consists of such triples {ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE} (note that triple ABC is the same as triple ACB, or BCA, or BAC, or CAB, or CBA). The set X totally contains 10 elements (triples). The first statement is true.
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<span>If set
Y is made up of the possible ways five students can be formed into
groups of three if student A must be in all possible groups, then </span><span>the set Y consists of such triples {ABC, ABD, ABE, ACD, ACE, ADE} and contains 6 elements. The second statement is also true.
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<span>If person E must be in each group, then there can be only one group is false statement, because you can see from the set X that triples which contains E are 6.
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<span>There are three ways to form a group if persons A and C must be in it. This statement is true and these groups are ABC, ACD, ACE.</span>
Answer:
a) 4 people ordered streak dinner
b) 3 people ordered chicken dinner
Step-by-step explanation:
Let the number of people that ordered steak dinner be x
and the number of people that ordered chicken dinner be y
From the question,
There are 7 people in your family
Hence, we can write that
x + y = 7 ...... (1)
Also from the question
Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.
We can then write that
13y + 18x = 111 ...... (2)
From equation (1)
x + y = 7
Then,
x = 7 - y ...... (3)
Put this into equation (2)
13y + 18x = 111
13y + 18(7 - y) = 111
13y + 126 - 18y = 111
-5y = -15
5y = 15
y = 15 / 5
y = 3
Put the value of y into equation (3) to get x
x = 7 - y
Then
x = 7 - 3
x = 4
Hence, 4 people ordered streak dinner
and 3 people ordered chicken dinner
a) 4 people ordered streak dinner
b) 3 people ordered chicken dinner
Answer:
Sure but what grade are you in.
Step-by-step explanation:
Answer:
Step-by-step explanation:
they want the values of y and x.
DA=BC
DC=AB
so we can tell that given that E is an intersection:
DE=BE
CE=AE
Answer:
<u>The triangular prism shown has 2 triangular faces and 3 lateral faces.</u>
- The triangles are on the ends, and there are three rectangular faces, which are the "lateral" faces because they're not bases.
<u>The area of one triangular face is 7.5 square millimeters.</u>
- Area of triangle = 1/2 b*h = 1/2* 6*2.5 = 1/2*15 = <u>7.5 square millimeters</u>
<u>The surface area of the triangular prism is 135 square millimeters.</u>
- Lateral face area = the sum of the three lateral faces. = 8*6.5 + 8*2.5 + 6*8 = 120 square millimeters
- Surface area = 2(triangle area) + sum of lateral faces = 2(7.5) + 120 = <u>135 square millimeters</u>