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ASHA 777 [7]
2 years ago
12

A local bookstore has a sale on all their paperbacks giving a 10% discount. You also received a coupon in the mail for $4 off yo

ur purchase. If you buy 2 paperbacks at $8 each, is it less expensive for you to apply the discount before the coupon or after the coupon?
Mathematics
1 answer:
oee [108]2 years ago
3 0

Answer:

Discount before the Coupon

Step-by-step explanation:

The cost of two paperbacks at $8 each=2 X $8 =$16

First, we determine for the case in which the coupon is applied first.

If the $4 Coupon is applied,

Cost=$16-$4 = $12

If the 10% discount is further applied,

Amount to be paid = $12-(10% of $12) =$12-1.2= $10.8

However if the discount is applied first,

Book Cost=$16-(10% of $16)=16-1.6=14.4

If the Coupon is then applied,

Amount to be paid= $(14.4-4)=$10.4

Since $10.4 is less than $10.8, we conclude therefore that it is less expensive to apply the discount first.

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Jay earns $5.90 per hour working at the ice cream parlor after school. He needs at least $236 for a stereo system. Choose the in
Fed [463]
The answer would be B) 5.90x > 236
This is because Jay needs at least 236 therefore the money he earns from working at the ice cream parlor would need to be higher than 236.
8 0
2 years ago
Find the area of the shape below.
lawyer [7]

9514 1404 393

Answer:

  164π cm²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...

  1/2A = (1/2)(π)(d/2)² = (π/8)d²

The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.

The total area will be ...

  area of largest + area of middle-size - area of smallest

  = (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²

The area of the shape is 164π cm².

4 0
1 year ago
Four gallons of paint are used to paint 20 chairs and 5 small tables.if each chair and table used the same amount of paint, how
Vinil7 [7]

Answer:

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

Step-by-step explanation:

we know that

Four gallons of paint are used to paint 20 chairs and 5 small tables.

if each chair and table used the same amount of paint

then

sum the total pieces of furniture

20+5=25 pieces

Find the unit rate

Divide the total gallons of paint used by the total pieces

\frac{4}{25}=0.16\ \frac{gallons}{piece}

therefore

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

7 0
2 years ago
Prove the following using a proof by contradiction:The average of four real numbers is greater than or equal to at least one of
skelet666 [1.2K]

Answer:

By contradiction it can be proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

Step-by-step explanation:

Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.

As a result, we prove the fact.

Here, let the four number be:

p, q, r, s

The average will be Sum of all numbers divided by count of numbers.

\dfrac{p+ q+ r+ s}4

Now, let us assume the opposite that the average is less than all the numbers.

i.e.

\dfrac{p+ q+ r+ s}4

\dfrac{p+ q+ r+ s}4

Now, let us add all of them:

\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4  < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4

Which can never be possible hence, our assumption is contradicted.

our assumption is wrong.

Therefore, by contradiction it is proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

8 0
2 years ago
19x+rx=-37+w <br><br><br> solve for x
ipn [44]

Factor the left side:-

x (19 + r) = -37 + w

x = ( -37 + w) / (19 + r) Answer


3 0
2 years ago
Read 2 more answers
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