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Allushta [10]
1 year ago
8

Lila needs a custom frame for a painting that her friend made for her. I’ve Been Framed is offering 50 percent off plus an addit

ional 10 percent off their regular price of $115. The Framers is offering 30 percent off plus an additional 40 percent off their regular price of $120. Which location is offering the better price and how much cheaper is it?
Mathematics
1 answer:
nikklg [1K]1 year ago
7 0

Answer:

The location offering the better price is The Framers. It is cheaper by $1.35

Step-by-step explanation:

I've Been Framed:

50% of $115 = $57.5

10% of $57.5 = $5.75

$57.5 - $5.75 = $51.75

Total: $51.75

The Framers:

30% of $120 = $36

$120 - $36 = $84

40% of $84 = $33.6

$84 - $33.6 = $50.4

Difference: $1.35

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In Virginia, 120 lame dogs were tested for arthritis and Lyme disease. The results showed that 42 of the dogs had Lyme disease,
miskamm [114]

Answer:

The number of dogs that had both Lyme disease and arthritis is 18

Step-by-step explanation:

Let x represent dogs that have both Lyme disease and arthritis

Dog with only Lyme disease = 42 - x

Dog with only arthritis = 96 - x

The sum of the 3 category should give 120

x + (42 - x) + (96 - x) = 120

Collect like terms and solve

x - x - x + 42 + 96 = 120

-x + 138 = 120

138 - 120 = x

x = 18

Dog with only Lyme disease = 42 - x = 42 - 18 = 24

Dog with only arthritis = 96 - x = 96 - 18 = 78

Therefore, the number of dogs with both Lyme disease and anthritis is 18.

4 0
2 years ago
Davi has 75 flower seeds. He wants to plant the seeds in pots so that every seed is planted, and every pot has
Vlada [557]

Answer:

15 pots

Step-by-step explanation:

If you divide 75 by 5 then you get 15. So if you plant 5 seeds per pot then you will need 15 pots to plant all of the seeds.

Hope this is what you wanted.

4 0
2 years ago
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Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
STatiana [176]

Answer:

D. 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4

Step-by-step explanation:

9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =

= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4

= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4

4 0
1 year ago
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Given that a rectangle with length $3x$ inches and width $x + 5$ inches has the property that its area and perimeter have equal
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Answer:

First, we need to know how to calculate the area and the permiter of a rectangle.

To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.

Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:

3x * (x+5) = 3x + 3x + x + 5 + x + 5

Now we solve the equation:

3x^2 +15x = 6x + 2x + 10

3x^2+15x =8x + 10

3x^2+15x-8x-10=0

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As the negative result doesn't have sense, we only pick the second one: 1.

If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches

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2 years ago
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