What is the solution to the equation 7(a – 10) = 13 – 2(2a 3)?
2 answers:
You might be interested in
Answer:
a.
b. $0.15 per can of pineapple
Step-by-step explanation:
a. 1. Here we need to make a variable () that represents the unknown cost of one single can of pineapple, then multiply
by the total number of cans, which we are told is 44.
2. The second term is the cost of the 11 bottes of mayonnaise, which we know to be $2.89. We add this to the first term.
3. We know that the total of these two numbers should be equal to the total amount of money that Tom spent. This number will be the amount he gave the cashier ($10) MINUS the change the cashier gave back to him ($0.35)
4. Now that we have formed an equation, we just need to solve for .
Equation
Simplify parentheses on the right and subtract 2.89 from both sides.
Simplify on the right side again to find 6.76, then divide both sides by 44.
Simplify and give this value units ($) to find your final answer to question b.
Answer:
A
Step-by-step explanation:
Since DE is parallel to AB and intersects the other 2 sides, it divides those sides proportionally, that is
=
Note that AD = 33 - 22 = 11
Substitute values into the ratio
=
=
( cross- multiply )
2x = 16 ( divide both sides by 2 )
x = 8
To find y use similar triangles
Δ ABC is similar to Δ DEC, thus ratios of corresponding sides are equal
=
, substitute values
=
=
( cross- multiply )
3y = 36 ( divide both sides by 3 )
y = 12
Thus y = 12, x = 8 → A