a) The total cost of Lisa's purchase was 2x. The individual cost of Dave's purchase was (x-3.50), so his total cost was 4(x-3.50). These costs were equal, so an approriate equation is
... 2x = 4(x -3.50)
b) Eliminate parentheses, subtract 2x, divide by 2.
... 2x = 4x -14.00
... 0 = 2x -14.00
... 0 = x - 7.00
Add 7 to show the value of x
... 7.00 = x
c) Lisa's total purchase was 2x = 14.00. Dave's items cost 7.00 -3.50 = 3.50 each, and the 4 of them came to 4×$3.50 = $14.00, the same as Lisa's total.
d) The cost of one of Lisa's shirts was $7.00; the cost of one of Daves shorts was $3.50.
If you connect those 7 points, it makes a heptagon.
Answer:
p=12
Step-by-step explanation:
the expression 3(12+n) = 3(n+p) is equivalent only when p=12
Answer is A because the number line is going by 2
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Answer:
b. 55°
Step-by-step explanation:
Complementary angles have a sum of 90°.
∠ABC +∠CBD = 90° . . . . . . the given relation
∠ABC + 35° = 90° . . . . . . . . . substitute the given value
∠ABC = 55° . . . . . . . . . . . . . . subtract 35° from both sides
∠ABC = ∠EBF = 55° . . . . . . vertical angles are congruent