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3 years ago

Which numbers are necessary to solve this problem?

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

A: 3 times a week, 45 minutes, 15 minutes, 4 weeks

In the beginning of the word problem it says Brian goes to the gym 3 times a week. We need to know that because you have to use that number later for multiplication.

The 45 minutes are important because he spends 45 minutes at the gym each visit.

The 15 minutes are important because you have to subtract that from 45 because 15 of the 45 minutes are spent on weights, the rest of the time is spent on the treadmill, and we need to know how long Brian is on the treadmill in 4 weeks.

So the equation should be: [(45-15)* 3]*4

Solution step-by-step:

45-15= 30 minutes for treadmill

30*3=90 minutes per week

90*4= 360 minutes in 4 weeks

Convert into hours:

360 minutes/60 minutes= 6 hours

Hope this helps!!! :D

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3 and 11

Step-by-step explanation:

Given 2 sides with third side x , then

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2 years ago

What is the sum of this infinite geometric series

nordsb [41]

You probably know that for $|r|$ , we have

$\displaystyle\sum_{i=0}^\infty ar^i=\dfrac a{1-r}$

Your sum starts at $i=1$ , so it's equivalent to

$\displaystyle\sum_{i=1}^\infty 12\left(\dfrac12\right)^i=\sum_{i=0}^\infty 12\left(\dfrac12\right)^i-12\left(\dfrac12\right)^0=\dfrac{12}{1-\frac12}-12=12$

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3 years ago

3 + (-3)^2 - (9 +7)^0

MatroZZZ [7]

Answer:

Step-by-step explanation:

3+(−3)^2−(9+7)^0

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=12−(9+7)^0

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3 years ago

Read 2 more answers

Adam started to run at a rate of 6 mph from city A towards city B, which is 18 miles away. Ten minutes later, Benjamin started t

amm1812

Answer:

<u>Benjamin's rate in mph was 6.44</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Rate or speed of Adam = 6 mph
Ten minutes later, Benjamin started to run from city B towards city A
Simultaneously, Caroline started to bicycle at a rate of 11 mph from city A towards city B

2. If Caroline caught up to Benjamin 50 minutes after passing Adam, what was Benjamin's rate in mph?

A. Let's calculate when Caroline caught up Adam:

Adam's rate = 6 mph

Caroline's rate = 11 mph

10 minutes = 1/6 of an hour

Distance covered by Adam when Caroline started to bike = 6 * 1/6 = 1 mile

t = Time it took Caroline to catch up to Adam

Therefore, we can solve for t, this way:

11t = 6t + 1

11t - 6t = 1

5t = 1

t = 1/5 of an hour

t = 12 minutes

Caroline passed Adam after biking 12 minutes, therefore she caught up to Benjamin 50 minutes later, or after 62 minutes.

B. Let's calculate the distance she covered after 62 minutes, this way:

62 minutes = 1 hour and 2 minutes or 1 2/60 or 1.03

Distance covered by Caroline = Time * rate

Replacing with the values we have:

Distance covered by Caroline = 1 2/60 * 11

Distance covered by Caroline = 11 11/30 or 11.37 miles

Let's recall the distance from city A to city B is 18 miles, therefore Benjamin covered 6.63 miles (18 - 11.37) when Caroline caught up to him

C. Finally let's calculate Benjamin's rate, this way:

Rate = Distance/Time

Replacing with the values we know:

Rate = 6.63/1.03

<u>Rate = 6.44 mph (rounding to the next hundredth)</u>

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3 years ago