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GaryK [48]
1 year ago
14

Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break duri

ng her ride. So, d(4) = . This means that after , Joanna .
Mathematics
1 answer:
finlep [7]1 year ago
5 0

Answer:

68

Step-by-step explanation:

Total mile cycled, d(t) ;

d(t) = 12t + 20

At d(4)

t = 4 ;

We have;

d(4) = 12(4) + 20

d(4) = 48 + 20

d(4) = 68

After, 4 hours of cycling, Joanna cycled a total distance of 68 miles

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One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone
nevsk [136]

Answer:

a) 6 gigabytes

b) $100

Step-by-step explanation:

Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

For the first smartphone

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.

Equation =

c = 52 + 8d

For the Second smartphone

A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.

Equation =>

c = 82 + 3d

How many gigabytes would have to be used for the plans to cost the same?

We would equate both cost to each other

52 + 8d = 82 + 3d

Collect like terms

8d - 3d = 82 - 52

5d = 30

d = 30/5

d = 6

Therefore,

a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.

b) The cost of both plans if 6 gigabytes is used =>

c = 52 + 8d

c = 52 + 8 × 6

c = $100

3 0
2 years ago
What is 1345/99 rounded to the nearest integer
ludmilkaskok [199]
1345/99 = 15.5858
15.5858 round up because 5+ is round up while 4- is round down.
Your answer is 16.
7 0
2 years ago
Read 2 more answers
A 4-column table with 3 rows. Column 1 has entries run, do not run, total. Column 2 is labeled lift weights with entries 40, bla
alexandr1967 [171]

Answer:

A Totals row in Access helps you see, at a quick glance, what the totals are for columns on a datasheet. For example, in a table of purchase information, we can show the sum of the price, or units purchased, or a total count of the items by adding a Totals row to the datasheet:

Step-by-step explanation:

5 0
2 years ago
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Olivia drives 90 miles in 2 hours. She drives 225 miles in 5 hours. She writes an equation in the form y=mx to represent the num
saul85 [17]

Answer:

y=270\textrm{ miles}

Step-by-step explanation:

Given:

Number of miles is represented by y and number of hours is represented by x.

The equation to show the relationship between x and y is y=mx

Now, for x=2,y=90

Plug in the above equation and solve for m. This gives,

90=m(2)\\m=\frac{90}{2}=45\textrm{ mi/h}

Hence, the equation is y=45x.

Now, if the line passes through (6,y), then x = 6.

So, y=45(6)=270\textrm{ miles}

Therefore, the value of y is 270 miles.

5 0
2 years ago
There is a safety fence around a circular pool with a gate. The gate is 150 cm wide. What is the length of the fence not includi
Zolol [24]

Answer:

The length of the fence is 6.28x-150 cm.

Step-by-step explanation:

Let the circular pool has the radius (r ) = x cm.

Since the pool is in a circular shape so the circumference will be the length of the fence. Moreover, there is a 150cm wide so we have to subtract the 150 cm from the value of circumference in order to get the actual length of the fence.

Length of fence  = Circumference of the pool – width of the gate.

Length of fence = 2 π r – 150

Length of fence = 2 × 3.14 × x – 150

Length of fence = 6.28x – 150 cm.

4 0
2 years ago
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