County

Mathematics

1 answer:

Ray Of Light [21]2 years ago

4 0

Answer:

$0.60

Step-by-step explanation:

Tax of Delaware is 7.25%

Tax of Fairfield is 6.5%

In decimal that would be:

Tax in Delaware = 7.25/100 = 0.0725

Tax in Fairfield = 6.5/100 = 0.065

We find respective percentages of $80 and add it to get final price. Then we find HOW MUCH MORE is cost in Delaware THAN FairField.

<u>Delaware Cost:</u>

80 + (0.0725)(80) = $85.80

<u>Fairfield Cost:</u>

80 + (0.065)(80) = $85.20

It costs more by:

85.80 - 85.20 = $0.60

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Vera_Pavlovna [14]

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2 years ago

9. Mark is filling up crates with watermelons for the food drive. He has large watermelons that weigh 10 pounds each and smaller

abruzzese [7]

9. 10x + 5y is the equation for larger watermelons + smaller watermelons (you did not provide information about the medium watermelons, so we must assume given the options you miswrote one of them). We can hold NO MORE than 500 pounds, so 10x + 5y must be smaller than 500. The best answer is C assuming that "5y" represents your "Medium Watermelons"- because smaller watermelons are stated to be 5 and medium ones should therefore be between 5 and 10, the option provided by A wouldn't make since because 3 pounded watermelons are not "medium" in comparison to the "small ones" that are heavier/bigger. Your best option is C, 10x + 5y < 500, the exact answer technically would be 10x + 5y <= 500.

4 0

2 years ago

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$