Answer:
Joe's wife must drive at a rate of 45km/hour.
Step-by-step explanation:
We are given that Joe leaves home and bikes at a speed of 30km/hour. Joe's wife leaves home five minutes later by car, and we want to determine her speed in order for her to catch up to Joe in 10 minutes.
Since Joe bikes at a speed of 30km/hour, he bikes at the equivalent rate of 0.5km/min.
Then after five minutes, when his wife leaves, Joe is 5(0.5) or 2.5 km from the house. He will still be traveling at a rate of 0.5km/min, so his distance from the house can be given by:
Where <em>t</em> represents the time in minutes after his wife left the house.
And since we want to catch up in 10 minutes, Joe's distance from the house 10 minutes after his wife left will be:
Let <em>s</em> represent the wife's speed in km/min. So, her speed times 10 minutes must total 7.5 km:
Solve for <em>s: </em>
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Thus, Joe's wife must drive at a rate of 0.75km/min, or 45km/hour.
This is the equations,
Tee Company: 9.65x + 43
Shirtz Company: 8.40x + 58
If you were to buy one shirt from each company these would be the prices,
Tee Company: $52.65
Shirtz Company: $66.40
I would recommend the Tee Company since the price per shirt is cheaper.
Answer:
8f+4g
Step-by-step explanation:
2•4f=8f, 22g=4g, 8f+4g=8f+4g
Answer:
Scale = 5ft/in
Step-by-step explanation:
Given
Scale Measurement = 6in.
Actual Width = 30ft
Required
Scale Ratio.
The scale ratio can be calculated as thus:
Scale Ratio = Actual Measurements ÷ Scale Measurements
Scale Ratio = 30ft ÷ 6in
Scale Ratio = 30ft/6in
Simplify to lowest terms
Scale Ratio = 5 ft/1 in
Scale Ratio = 5ft/in
This can also be represented as follows;
Scale Ratio = 5ft : 1in
This means that 5 ft on the actual measurements is represented by 1inch on the scale.
Answer:
see the attached
Step-by-step explanation:
Each digit goes in the place corresponding to its place value.
When no digit has a given place value, a placeholder is used. That is the purpose of zero, a great invention in the history of mathematics. It makes place-value number systems possible.
