A cat weighs 3.5 ounces when born. The cat grows 0.5 ounces each week. After
2 answers:
Answer: 26 weeks
Step-by-step explanation:
This is an example of an arithmetic sequence.
The first term = 3.5
common difference = 0.5
Using the formula for calculating the nth term of an arithmetic sequence :
= a + (n - 1 ) d
Therefore :
16.5 = 3.5 + ( n - 1 ) x 0.5
16. 5 = 3.5 + 0.5n - 0.5
16.5 = 3 + 0.5n
16.5 - 3 = 0.5n
13.5 = 0.5n
n = 13.5/0.5
n = 27
Therefore , it will take the cat (n-1) weeks to weigh 16.5 ounce, which will be 27 - 1 = 26
check:
3.5 + 26 ( 0.5)
= 3.5 + 13
= 16.5
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The teacher spend some amount on buying costumes and microphones for 6 cast members.
<u>GiveN</u><u>:</u>
- Cost of each costume = $38
- Cost of each microphone = $c
- Total money spent = $354
Let's frame the equation. Total money is the total amount spent for 6 cast members.
Money spent on costumes = $38 × 6
Money spent on microphone = $c × 6
<u>Equation:</u>
Taking 6 as common,
Dividing 6 from both sides,
Solving further,
So, the cost of each microphone = <u>$21</u>
The teacher spent this much on each microphone.
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Answer:
A) 15 hours
B) 108 hours
C) 2073.45 miles
Step-by-step explanation:
The earth rotates fully 1 time in 24 hours. Fully rotate means that it goes through 360 degrees in 24 hours.
A)
For this, we can set up unit ratio to solve.
<em>"If earth rotates 360 degrees in 24 hours, 225 degrees take how much time (let it be x)?"</em>
So , it takes 15 hours.
B)
Here, the rotation is given in radian, NOT degrees. We know that 2π radians is 360 degrees, thus we can say:
<em>"If earth rotates 2π radians in 24 hours, 9π radians take how much time (let it be y)?"</em>
So, it take 108 hours.
C)
The point on the equator is on the "outside" of the earth. So we need to figure out the circumference of the earth, given diameter is approximately 7920.
Circumference formula is C = 2πr, where C is the circumference, r is the radius (half of diameter, which is 7920/2 = 3960)
Hence
C = 2πr = 2π(3960) = 7920π
Hence, is 24 hours, a point travels 7920π miles. 2 hours is 1/12th of 24 hours, so in 2 hours the point will travel 1/12th the distance is travels in 24 hours. So:
Thus, it will travel 2073.45 miles in 2 hours.