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Annette [7]
3 years ago
6

Our family road trip to Yellowstone required driving approximately 610 miles. After 4 hours of driving we stopped for lunch and

found we had traveled 252 miles. At this rate, how much longer (in hours) will the remainder of our trip take? Round your answer to the nearest tenth of an hour. PLEASE HELP
Mathematics
1 answer:
Sonja [21]3 years ago
7 0
Less then 10hrs but more then 9hrs not sure exactly
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areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,
maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles:40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

A(n)=40\cdot1.5^{2(n-1)}

We want to determine which triangle has an area greater than 15000cm^2.

When A(n)=15000

40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31

Therefore, the 9th triangle has an area greater than 15000cm^2.

5 0
3 years ago
A car company is designing a car that uses 12% less steel than
Olin [163]

Answer:

180 pound

Step-by-step explanation:

<h3><u>p</u><u>e</u><u>r</u><u>c</u><u>e</u><u>n</u><u>t</u><u>a</u><u>g</u><u>e</u><u>:</u></h3>

<u>t</u><u>h</u><u>e</u><u> </u><u>v</u><u>a</u><u>l</u><u>u</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>1</u><u>2</u><u>%</u>

  • 12% of 1500 pounds
  • 12/100 × 1500
  • 18,000/100
  • 180

much steel will the new car model use is 180 pound

5 0
2 years ago
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
almond37 [142]
Zinc = 7/18
Divide 4.9 by 7 = 0.7
Multiply by 18 = 12.6

The answer is 12.6 lbs of alloy. Sorry if I'm wrong
6 0
3 years ago
I dont understand this question <br>-32=8m<br><br><br><br>​
lorasvet [3.4K]

Answer:

m= -4

Step-by-step explanation:

the question is asking you to make the variable 'm' by its self and find what it is equal to. you divide 8 by both sides. this gets 'm' alone and -32 divided by 8 is -4.

6 0
3 years ago
4x-8=12 when x=-2<br> verify the solution of the equation and explain.
mojhsa [17]

Answer:

Solve in terms of the arbitrary variable x . x = 5 5 = − 2

Step-by-step explanation:

7 0
2 years ago
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