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VARVARA [1.3K]
3 years ago
8

Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items,

before tax. Exactly how many erasers did Stefanie buy?
Mathematics
1 answer:
melamori03 [73]3 years ago
5 0

Answer:

Stefanie bought 10 erasers

Step-by-step explanation:

We can establish the following equation:

TP = NP*PP + NE*EP

Where:

TP = Total price; (4.25)

NP = Number of pencil packages; (1)

PP = Pencil Package's Price; (1.75)

NE = Number of erasers; (What we are looking for)

EP = Erasers Price; (0.25);

Then:

4.25 = 1*1.75 + NE*0.25;

4.25 - 1.75 = NE*0.25;

2.5/0.25 = NE;

10 = NE.

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finlep [7]

Answer:

thats false the unit rate would be $0.5

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3 years ago
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Represent the following expressions as a power of the number a (a≠0): c ((a2)−2)5÷(a4a)3
s2008m [1.1K]

Answer:

1/a²⁷

Step-by-step explanation:

Given: $ \frac{((a^2)^{-2})^5}{a^4.a^3} $

We know that when the bases are same the powers can be added. i.,e.,

                                           (xᵃ)ᵇ = x ⁽ᵃ ⁺ ᵇ⁾

⇒ $ \frac{((a^2)^{-2})^5}{a^4.a^3} \implies \frac{(a^2)^{-10}}{a^7} $

$  \implies \frac{a^{-20}}{a^7} = a^{-20 - 7} = a^{-27} $

Also, $ \frac{x^a}{x^b} = x^{a - b} $

This is nothing but, $ \frac{1}{a^{27}} $.

Note that $ a $ cannot be zero here. The condition is provided in the question as well.

7 0
3 years ago
A worker’s total earning is $8.75 per hour plus a $10 tip; what are the hours worked if the worker earned $316.25 in one week?
Rus_ich [418]
First, you will subtract the $10 tip from the total earned, leaving you with $306.25 (earned from hours work). Your wage is $8.75/hr, so if you divide 306.25/8.75, you’ll get 35. You worked 35 hours to earn $306.25, and then got a $10 tip, bringing up your total to $316.25.
4 0
3 years ago
Tickets for a concert cost $29. 00. The greatest number of tickets one person can buy is 9.If 28 peopleeach buy 9 tickets for $2
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Answer: 7,308


Step-by-step explanation: 28 X 9 = 252

252 X 29 = 7,308


6 0
3 years ago
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|5x-4|>16 solutions
lions [1.4K]

Answer:

x >4                         or            x < -12/5

Step-by-step explanation:

An absolute value has 2 solutions, a positive and a negative.  Remember to flip the inequality for the negative solution

|5x-4|>16

5x-4 > 16        5x-4 < -16

Add 4 to each side

5x-4 +4> 16+4   or     5x-4+4 < -16+4

5x > 20                or        5x < -12

Divide each side by 5

5x/5 > 20/5          or         5x/5 < -12/5

x >4                         or            x < -12/5

5 0
3 years ago
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