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Lilit [14]
3 years ago
14

Kacie bought x, number of pencils. She paid $0.91, including tax, per pencil. She gave the cashier $10 and received $6.36 back i

n change. How many pencils did she purchase?
Mathematics
2 answers:
Vikki [24]3 years ago
6 0

Answer: 4 pencils

Step-by-step explanation:

From the question, Kacie bought x, number of pencils. She paid $0.91, including tax, for a pencil and gave the cashier $10 and received $6.36 back in change.

Let the number of pencils bought be x.

Since she paid $0.91 per pencil, and gave the cashier $10 and collected $6.36 as change, this will be:

10 - 0.91x = 6.36

Collect like terms

0.91x = 10 - 6.36

0.91x = 3.64

x = 3.64/0.91

x = 4

She bought 4 pencils

wel3 years ago
4 0

Answer:

She purchased 4 pencils

Step-by-step explanation:

Here, we are to calculate the number of pencils bought given the information in the question.

The amount per pencil is $0.91. The total amount of this since she bought x number of pencils is $0.91 * x = $0.91x

Now, after paying $10, she was given $6.36 as change

what this means is that what the pencils cost is 10-6.36 = $3.64

Now we equate the cost in terms of x to this;

0.91x = 3.64

x = 3.64/0.91

x = 4 pencils

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The product of 9 and the quantity 5 more that a number,t, is less that 6
Pepsi [2]

The inequality is 9 ( t + 5 ) < 6.

In mathematics, an inequality is a relation that makes a non-same comparison between two numbers or different mathematical expressions. It is used most often to examine numbers on the quantity line by using their length.

Inequality, In mathematics, is a declaration of an order relationship—greater than, extra than or same too, much less than, or much less than or identical to—between numbers or algebraic expressions.

The definition of inequality is a difference in length, amount, exceptional, social function, or another component. An instance of inequality is if you have ten of something and a person else has none.

Let t be the number.

We know that,

The phrase "5 more than a number t" is equal to adding the number t and 5

(t+5)

The phrase "the product of 9 and the quantity 5 more than a number t" is equal to multiplying 9 by (t+5)

9(t+5)

Less represent the symbol " < ".

Therefore,

The inequality that represents this problem is 9(t+5) < 6.

Learn more about inequality here brainly.com/question/11613554

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7 0
1 year ago
Which equation has no solution?
emmainna [20.7K]

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7 0
3 years ago
How much lemon juice did Damon use in the lemonade
OverLord2011 [107]

from the picture in every cup there are 1/5 of lemon + 4/5 of water.

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3 years ago
Taryn conducted a science experiment on saturation. She added sugar to sugar water solution at different intervals. The graph sh
dusya [7]
Equation of a line:
y=mx+c

m = gradient: The difference between two y points and two x points.
m= \frac{\Delta y}{\Delta x}

c = y-intercept: Where the line crosses the y-axis (x=0)

You have:
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so you are missing the m and the c.

To calculate m find two y coordinates -you have (12, <u>7</u>) and (0, <u>1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>12</u>, 7) and (<u>0</u>, 1)- This gives:

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To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

c=1

When you plug these values into the equation you get your answer:

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Answer:

If it took the motorcycle 2 hours to cover 20km, then the average speed is 10km per hour.

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