In march, a customer spent $8.55 at an office-supply store for some 12-packs of pens. At that time, the store was selling packages of one dozen pens for $1.35. Any customer who bought more than 4 packages, received a discount of $0.30 on the price of each package in excess of 4 packages. In september, the same customer went back to the store to buy the same number of pens. By then, the price per 12-pack of pens had been raised to $1.50 each, with the same discount for more than 4 packages. How much more did the customer have to pay in September than in March?

Answers

Answer 1
Answer: We can start by making an equation from the information given on the month of March to find how many packs he bought.
4(1.35)+x(1.05)=8.55 This equation shows that for the first 4 packs he bought, he payed $1.35. Then, consequently, for each pack after that, he payed $0.30 less, and we don't know how many more he bought, so we set it up as shown. Finally, we set it all equal to $8.55 since that's how much he payed that month. We get that x=3, meaning that he bought a total of 7 packs of pens that month.
Knowing this, we can now make an equation for the month of September.
4(1.50)+3(1.20)=x This time, we know the entire left side, that he paid $1.50 for the first 4 packs and $0.30 less for the last 3. We get x=$9.60
Knowing this, we can subtract the amount he paid in September by the amount he paid in March to get the answer... $9.60-$8.55=$1.05

I hope this helped!

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What is the most direct use of a compass in geometric constructions?A) to draw congruent angles


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Answers

The most direct use of a compass in geometric constructions is to draw arcs of a given size.

What is the compass in geometry?

In geometry, a compass is a tool for drawing circles and arcs.

It consists of two arms, one with a pointed end and the other with a pencil or pen.

We have,

A compass is a tool used for drawing circles and arcs.

By adjusting the distance between the two arms of the compass, it can be used to draw circles and arcs of various sizes.

While a compass can also draw congruent angles and perpendicular lines, these constructions often require additional steps beyond simply drawing an arc of a given size.

Drawing straight lines typically requires using a straightedge, which is a different tool than a compass.

Thus,

The most direct use of a compass in geometric constructions is to draw arcs of a given size.

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(B) To draw arcs of a given size

Which fraction is equivalent to 7/8 ?

Answers

So from 7/8 = 35/40 , 35 is the answer
Many fraction equivalent to 7/8
7/8•2=7/4
7/8•3=21/8
7/8•4=7/2
7/8•5=35/8
7/8•6=21/4
7/8•7=49/8
7/8•8=7
7/8•9=63/8
7/8•10=35/4

30% of a number equals 30. what is the number?

Answers

it would be 100! 30% of 100 is 30
100 cuz 30% of 100 is 30;)

What is the answer to this proplem in the picture.

Answers

Answer:y\leq3x-1
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A group of children, 6 to 10 years old, were asked how many video games they owned. The scatter plot shows the results.What is the child’s age for the outlier?

Answers

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What is the value of 6P6?  A.1  B.36  C.720  D.46,656

Answers

the\ permutationon:\ \ n\ P\ x= (n!)/((n-x)!) \n \n6\ P\ 6= (6!)/((6-6)!) = (6!)/(0!)= (2\cdot3\cdot4\cdot5\cdot6)/(1)=720

Ans.\ C

The value of 6P6 permutation is 720 .

To calculate the value of 6P6 ( permutation of 6 objects taken 6 at a time ), we can use the formula :

nPn = n !

where n is the total number of objects .

In this case, n = 6. So, substituting it into the formula :

6P6 = 6 !

Calculating the factorial of 6 :

6! = 6 × 5 × 4 × 3 × 2 × 1

= 720

Therefore, the value of 6P6 is 720 .

Hence, the correct answer is C . 720 .

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