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puteri [66]
2 years ago
7

Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $600 item is $42, what is the s

ales tax on a $930 item?
Mathematics
1 answer:
Dafna11 [192]2 years ago
4 0
Answer: $65.10

Step-by-step work:

1.Set the ratio
\frac{600}{42}  =  \frac{930}{x}
2.Cross-multiply
600x = 930(42)
600x = 39060
3.Divide to single out x
600x \div 600 = 39060 \div 600
x = 65.10


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Ella completed the following work to test the equivalence of two expressions.
MrRa [10]
Answer:

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

Step-by-step explanation:

Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.

Two algebraic expressions are said to be equivalent if their values obtained by substituting any values of the variables are same.

Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,

3f + 2.6 = 3.1 + 2.6 = 3 + 2.6 = 5.6

2f + 2.6 = 2.1 + 2.6 = 2 + 2.6 = 4.6

5.6 = 4.6

Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.

3f + 2.6 = 2f + 2.6

3f = 2f

3f - 2f = 0

f = 0

This is true only when f=0.

Hence,

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
6 0
2 years ago
Read 2 more answers
30 POINTS!!! Jade decided to rent movies for a movie marathon over the weekend. The function g(x) represents the amount of money
Airida [17]

Answer:

B. No the input is not feasible

because you cannot rent 6,5 movies  :p

6 0
2 years ago
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PLZ HELP! Oliver is 8 feet above the surface of the water. There is a school of fish 10 feet below the surface. A ledge with som
qwelly [4]

Answer:

26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:

8 feet added to 18 feet will be your answer.

8 0
2 years ago
∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.)
Anastasy [175]

Answer:

x = 11, y = 8

Step-by-step explanation:

ΔABC and ΔFDE are congruent by the postulate SSS

Equate the congruent sides in the 2 triangles

BC = ED, that is

x + 3 = 14 ( subtract 3 from both sides )

x = 11

-------------------------------------

DF = AB, that is

x - y = 3 ← substitute x = 11

11 - y = 3 ( subtract 11 from both sides )

- y = 3 - 11 = - 8 ( multiply both sides by - 1 )

y = 8

6 0
2 years ago
Read 2 more answers
A pie is made using 2 cups of sugar for every 3 cups of flour. Max knows he needs 15 cups of flour to make enough pies. How many
PolarNik [594]

Answer: 10 cups of sugar

Step-by-step explanation:

Cups of sugar : Cups of flour

                    2 : 3

                    ? : 15

Cross multiply

3? = 15 × 2

3? = 30

Divide both sides by 3

? = 10

He needs 10 cups of sugar.

8 0
2 years ago
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