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SOVA2
14 days ago
15

Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia

ride than Katie? Distance Rate Time Julia 20 1.2 Katie 20 1.6 4.2 mph 12.5 mph 15.4 mph 16.7 mph
Mathematics
2 answers:
PIT_PIT [3.9K]14 days ago
7 0
If Julia rides 20 miles in 1.2 hours, her speed is 20 divided by 1.2, equaling 16.667 miles per hour. Katie’s speed, covering 20 miles in 1.6 hours, is 20 divided by 1.6, which is 12.5 miles per hour. Therefore, Julia travels 16.667 minus 12.5 miles per hour faster than Katie, resulting in 4.167 mph difference.
Svet_ta [4.3K]14 days ago
5 0

Given that,speed = \frac{distance}{time}

Julia completes a 20-mile bike ride in 1.2 hours.

The distance Julia covers is 20 miles and her time taken is 1.2 hours.

Therefore, Julia's speed = \frac{20}{1.2} = 16.67 mph


Katie finishes the same 20-mile ride in 1.6 hours.

Katie’s distance is 20 miles and her time is 1.6 hours.

Hence, Katie's speed = \frac{20}{1.6} = 12.5 mph


To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.

Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.

Consequently, Julia cycles 4.2 mph faster than Katie.

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The sum of 48 and itself its half and half of the hal is added to 18​
babunello [3635]

Answer:

150

Step-by-step explanation:

We perform addition.

a) The total of 48 added to itself

= 48 + 48 = 96

b) Its half plus half of the half

= 96 + (1/2 × 48) + (1/2 × (1/2 × 48)

= 96 + 24 + (1/2 × 24)

= 96 + 24 + 12

= 132

c) plus 18

= 132 + 18

= 150

Thus, adding 48 to itself, its half, and half of that to 18 results in 150.

8 0
7 days ago
an element with mass 430 grams decays by 27.4% per minute. How much of the element is remaining after 19 minutes, to the nearest
Leona [4166]

Answer:

1.0 gram (rounded from.98)

Step-by-step explanation:

This is an exponential equation represented as a*b^x, where a denotes the initial quantity and b represents the rate of decay (or growth). The initial amount a is straightforward, being 430, but for b, ensure it's expressed in decimal form. To convert the percentage (like 27.4%) to decimal, simply move the decimal point two places to the left, yielding.274.

Next, with the equation 430*.274^x, we can apply the value of x as 19.

Also, be aware that if different units are involved, like if t represented a decay over 19 hours, those would need to be converted as well. I'm here to help if you require further clarification.

8 0
7 days ago
Write an addition equation that can help you find 9-6. Explain your answer.
Inessa [3907]
9 + (-6) seems like it will be effective.
4 0
7 days ago
Read 2 more answers
in one day annie traveled 5 times the sum of the number of hours brian traveled and 2. Together they traveled 20 hours. Find the
Leona [4166]
To tackle this mathematical issue, we should first gather and evaluate the known values alongside the unknowns posed by the problem. Annie traveled five times the total of the hours Brian traveled and an additional 2. Together, they totaled 20 hours. Calculate the individual hours.
Equation, <span><span>
1. </span><span> 5(y) + 2 = 20</span></span>
<span><span>2. </span><span> 5y = 20 – 2</span></span> <span><span>
3. </span><span> 5y = 18</span></span>
<span><span>4. </span><span> Y = 18 / 5</span></span> <span><span>
5. </span><span> Y = 3.6</span></span> <span><span>
6. </span><span> 5y = 5(3.6)</span></span> <span><span>
7. </span><span> Annie = 18</span></span>
Therefore, Annie traveled for 18 hours while Brian spent 3.6 hours traveling.  



8 0
8 days ago
In a group of 90 students, 65 watch rugby, 71 play a sport and 15 do neither.
Leona [4166]

Answer:

\frac{14}{75} A student who plays a sport but does not watch rugby is selected from those who engage in sports.

Step-by-step explanation:

"Determine the probability that a randomly selected student from the sports-playing group does not follow rugby."

90-15= 75 individuals either participate in sports OR follow rugby.

65+71-75=

136-75=

61 individuals play a sport AND are rugby watchers.

14 individuals are involved in sports but DO NOT follow rugby.

\frac{14}{75} is the probability of picking a student who is part of sports but does not watch rugby from the sports group.

4 0
9 hours ago
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