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3 years ago

If you would help me with this, I would be very grateful!

Mathematics

1 answer:

son4ous [18]3 years ago

5 0

Answer:

https://mathworld.wolfram.com/RuffinisRule.html

This may help you

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Andra travels 90 miles at an average speed of 70 mph.

spayn [35]

Answer:

54mph

Step-by-step explanation:

$\textsf {\underline {To find :-}}$

The average speed at 2nd departure.

⠀

$\textsf{ \underline {Given :-}}$

The speed during 90 miles travel = 70mph

The average speed during the entire journey = 63mph

The distance in second departure = 70 miles

⠀

$\textsf {\large{ \underline{ Solution :-}}}$

⠀

The distance travelled in the entire journey

= 90 + 70 = 160 miles.

⠀

Then the time taken in entire journey will be

$\sf \large = \frac{total \: distance}{average \: speed} \\ \\ \sf \large = \frac{160}{63} \\ \\ \sf \large = 2 \frac{37}{63}hours \\ \\ \sf \large = 2 \: hours \: 35 \: minutes$

⠀

Time taken at first departure

$\sf \large = \frac{distance}{speed} \\ \\ \sf \large = \frac{9 \cancel0 }{7 \cancel0} \\ \\ \sf \large = 1 \frac{2}{7} \: hours \\ \\ \sf \large = 1 \: hour \: 17 \: minutes$

⠀

Time taken in second departure

= 2 hours 35 minutes - 1 hour 17 minutes

= 1 hour 18 minutes

⠀

Speed at second departure will be

$= \sf \large \frac{distance}{time} \\ \\ \sf \large = \frac{70}{1 \frac{18}{60} } \\ \\ \sf \large = \frac{70}{1.3} \\ \\ \sf \large = 53.84 \: mph \\ \\ \sf \large = 54 \: mph$

⠀

The average speed at second departure was 54mph.

6 0

2 years ago

How many people are between the ages of 20 and 49?

oksian1 [2.3K]

Just add the numbers of the groups 20-34 years and 35-49 years

4 0

3 years ago

Gia bought a computer that was 20% off the regular price of $1,280. If a 9% sales tax was added to the cost of the computer, wha

garik1379 [7]

1280*.8=1024
1024*1.09=1116.16
Tax is the last thing added, savings before tax since

8 0

3 years ago

Read 2 more answers

The band is selling snacks during lunch. Nachos are $2 each and burgers are $4 each. You want to buy at least 5 items. You want

lesya [120]

Answer:

2 nachos , 3 burgers is one possible solution.

1 nacho , 4 burger is another possible solution.

Step-by-step explanation:

Cost of nachos = $2 each

Cost of Burgers = $4 each

Hence, the variables are defined as:

Let x be the total number of nachos purchased.

and y be the number of burgers purchased.

According to the question, system of inequalities are:

x + y ≥5

and, 2x + 4y ≤ 16

Now, solving for x and y,

as x + y = 5 ⇒ y = 5 -x

Substitute in the second equation, we get

2x + 4(5-x) = 16

or, 2x + 20 - 4x = 16

or, x = 2 and therefore y = 5-x = 5-2 = 3

So, x = 2 , y=3 is one possible solution.

x = 1 , y = 4 is another possible solution.

6 0

3 years ago

Question 5

vladimir1956 [14]

9514 1404 393

Answer:

$10.50 per hour

Step-by-step explanation:

Let r represent your regular hourly pay. Then your holiday pay is ...

8(2r) +50 = 218

16r = 168 . . . . . . . . subtract 50

r = 10.50 . . . . . . . . .divide by 16

Your regular hourly pay rate is $10.50 per hour.

6 0

3 years ago