Let t and p represent the numbers of turtles and pelicans, respectively.
... 2p + 4t = 114 . . . . . . . the number of legs is 114
... p + t = 34 . . . . . . . . . the number of animals is 34
Divide the first equation by 2 and subtract the second.
... (2p +4t)/2 - (p +t) = (114)/2 - 34
... t = 23 . . . . . . . . . . . . . . . . . . . . . . simplify
Then p = 34 - t = 11
There are 11 pelicans and 23 turtles.
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You can get to the same answer by considering the number of legs you would have if all the animals were pelicans. That would be 34*2 = 68. The is 46 fewer legs than there actually are. Each turtle that replaces one of those 34 pelicans adds 2 legs to the total, so to add 46 legs, we must replace 46/2 = 23 pelicans with turtles. That is, there are 23 turtles and 11 pelicans.
Answer: <em>Multiply the original price by the decimal form of the percent and subtract that from the original price.
</em>
<em>37*0.85=31.45
</em>
<em>37-31.45=5.55
</em>
<u><em>Answer: New price is $5.55</em></u>
Full question:
Linear Functions: Taking a Taxi
You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial, your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled. If you have $11 in your pocket, will you be able to take the cab 5 miles?
Answer:
Cannot go 5 miles having just $11
Step-by-step explanation:
Since the cost varies linearly with the distance that you traveled, to model the linear function for this problem we know that
1 mile = $4.75
And so to go x miles, we require $4.75x
Equation can therefore be modelled thus :
y=4.5x
Where y = total cost of transport in dollars
x= cost in dollars per mile
To find out if we can go 5 miles just having $11, we plug in 5 miles for x into the equation to find total cost of transport going 5 miles
y=4.5*5
y= $22.5
Therefore we cannot go 5 miles just having $11
Answer:
10x - 18a + Cx - 33d
Step-by-step explanation:
Emma needs to invest $55,050.14.
<h3><u>Compound interest </u></h3>
Given that Emma is going to invest in an account paying an interest rate of 2.6% compounded quarterly, to determine how much would Emma need to invest, to the nearest cent, for the value of the account to reach $66,000 in 7 years, you should perform the following calculation:
- Principal amount x (1 + rate / number of annual compositions)^(years x number of annual compositions) = Interest
- X x (1 + 0.026/4)^(7x4) = 66000
- x x (1 + 0.0065)^28 = 66000
- x x 1.0065^28 = 66000
- x x 1.198907 = 66000
- X = 66000 / 1.198907
- X = 55050.14
Therefore, Emma needs to invest $55,050.14.
Learn more about compound interest in brainly.com/question/7420113
