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Lady_Fox [76]
4 years ago
14

Which scenario is modeled by the equation (x)(0.6) = $86.46?

Mathematics
2 answers:
belka [17]4 years ago
4 0

Answer: A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10.


Step-by-step explanation:

Given equation: (x)(0.6)=\$86.46

To find x, divide 0.6 on both sides, we get

x=\frac{\$86.46}{0.6}\\\Rightarrow\ x=\frac{\$864.6}{6}\\\Rightarrow\ x=\$144.10

Also 0.6=0.6\times100=60\%

Thus, 60\%\ of\ \$144.10=\$86.46

So the best scenario modeled by the above equation is

"A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10."

wlad13 [49]4 years ago
3 0

Answer:

c

Step-by-step explanation:

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A forestal station receives the locations of two fires, one of them in a forest located 11 Km heading N69°W from the station. Th
loris [4]

Answer:

  30.7 km

Step-by-step explanation:

The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...

  c = √(a² +b² -2ab·cos(C))

The angle measured between the two fires is ...

  180° -(69° -35°) = 146°

and the distance is ...

  c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015

  c ≈ 30.74

The straight-line distance between the two fires is about 30.7 km.

8 0
2 years ago
You discovered you can deduct medical expenses over 6% of your income. Your income is $42,000 and you had medical expenses of $5
iren2701 [21]

No portion of your medical expenses you can deduct

Step-by-step explanation:

You discovered you can deduct medical expenses over 6% of

your income

Your income is $42,000

You had medical expenses of $567

We need to find the portion of your medical expenses you can deduct

∵ Your income = $42,000

∵ You can deduct medical expenses over 6% of your income

- Find the 6% for your income

∵ 6% of the income = \frac{6}{100} × 42,000 = $2520

∴ 6% of your income is $2520

∵ You can deduct medical expenses over 6% of your income

∴ If your medical expenses greater than $2520, then you can

   deduct the value greater than it, but if your medical expenses

   smaller than $2520, then you can not deduct any value

∵ You had medical expenses of $567

∵ $567 < $2520

∴ There is no value you can deduct from your medical expenses

No portion of your medical expenses you can deduct

Learn more:

You can learn more about percentage in brainly.com/question/12960754

#LearnwithBrainly

4 0
3 years ago
Please help! I’ll give brainliest to whoever answers first :)
Tanya [424]

Answer:

Step-by-step explanation:

a triangles angles add up to 180

subtract 102 from 180

180-102

that’s 78

a and b are equal so divide 78 by 2 to get 39

a and b are both 39

6 0
3 years ago
Read 2 more answers
Please help me ASAP
Tasya [4]
The answer to the question is d
8 0
3 years ago
What is the sum of the first eight terms of the series?
Ray Of Light [21]
Observe that as the series progresses, the term decreases by 1/4. To show this, observe the first four terms of the series below.

-200 = (1/4)(-800)
-50 = (1/4)(-200)
-12.5 = (1/4)(-50)

Since we have a common ratio, r, of 1/4, we can use the properties of a geometric series to find the 8th term of the series.

Recall that to find the sum of the nth term of a geometric series, we have

S_{n} = a(\frac{1-r^{n}}{1-r})

where a is the first term of the series and r is the ratio.

So, for the first eight terms, we have

S_{8} = -800(\frac{1-(\frac{1}{4})^8}{1- \frac{1}{4}})
S_{8} \approx -1066.65

Therefore, the sum of the 8th series is approximately -1066.65. 

Answer: -1066.65
3 0
3 years ago
Read 2 more answers
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