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Monica [59]
3 years ago
11

Sam was still finishing his breakfast when his brother Leo left for school. Sam started to run after Leo when Leo was already 10

0 meters away. How soon will Sam catch up, if he is running at a speed of 105 meters per minute while Leo is walking at a speed of 65 meters per minute?
Mathematics
2 answers:
natka813 [3]3 years ago
8 0
Leo Sam
After 1 minute: 65 105
After 2 minutes: 130 210
After 3 minutes: 195 315
Now there is a difference from 100 meters
So after 3 minutes he will catch up Leo
Alla [95]3 years ago
6 0

Answer:

Sam will catch up his brother in 2.5 minutes

Step-by-step explanation:

Two equations can be written to represent the problem.

Sam: y1 = 105*t

Leo: y2 = 100 + 65*t

where y represent position, in meters, and t is time in minutes. That is, after 1 minute after Sam started to run, Sam will be at 105 meters of distance from the house, and Leo will be at 165 meters of distance from the house.

When Sam catch up Leo, the distance travelled by both equals:

y1 = y2

105*t = 100 + 65*t

105*t - 65*t = 100

40*t = 100

t = 100/40

t = 2.5 minutes

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Carter Road his bike 9/10 of a mile from his house to his grandmothers house. On his way back home, he rode 3/8 of a mile before
jek_recluse [69]

Answer:

Step-by-step explanation:

Carter rode his bike 9/10 of a mile from his house to his grandmothers house. This means that the distance from Carter's house to his grandmother's house is 0.9 miles. On his way back home, he rode 3/8 of a mile before the tyre on his bike went flat. This means that he rode 0.375 miles before his tyre went flat. The distance he must walk before he gets home will be the total distance from home minus the distance that he rode. It becomes

0.9 - 0.375 = 0.575 miles

3 0
3 years ago
A tractor was purchased for $30,000 six years ago. what is the value of the tractor today if the depreciation rate was 2.5%?
MrRissso [65]
Initial cost = $30,000
Depreciation rate = 2.5%

Depreciation expense per year = 30,000*2.5/100 = $750
In six years,
Depreciation = 6*750 = $4,500

Value of the tractor = Initial cost - Depreciation = $30,000 - $4,500 = $25,500
6 0
3 years ago
Round 6893.209 to the nearest whole number
mixer [17]

Answer:

6893

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write 2^8 * 8^2 * 4^-4 in the form 2^n
Eva8 [605]

The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.

<h3>What are exponential forms?</h3>

The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.

<u>For example:</u>

If we have a*a*a*a, it can be written in exponential form as:

=a^4

where

  • a is the base, and
  • 4 is the power.

The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power. 

From the information given:

We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:

\mathbf{= 2^8\times (2^3)^2 \times (2^2)^{-4} }

\mathbf{= 2^8\times (2^6) \times (2^{-8}) }

\mathbf{= 2^{8+6+(-8)}}

\mathbf{= 2^{6}}

Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.

Learn more about exponential forms here:

brainly.com/question/8844911

#SPJ1

4 0
2 years ago
Find the Area &amp; Circumference of a circular pizza with a diameter of 22.0cm.
nirvana33 [79]

Answer:

  • Circumference = 69.14cm
  • Area = 380.29cm²

Step-by-step explanation:

Circumference.

Circumference of a circle is calculated by the formula:

= Pie * diameter

= π * diameter

= 22/7 * 22

= 69.14 cm

Area

Area of circle:

= Pie * radius ²

Radius = diameter/2

= 22/2

= 11 cm

Area = 22/7 * 11²

= 22/7 * 121

= 380.29 cm²

6 0
3 years ago
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