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andrew-mc [135]
3 years ago
11

The advertised mpg for new cars is based on a speed of 55 mph. As speed increases above 55 mph, the efficiency reduces dramatica

lly (MPG for speed, 2014). 3% less efficient at 60 mph 17% less efficient at 70 mph. Make sure that you fill in each answer area before checking "How Did I Do?". Compare the efficiency of a Toyota Camry (33 mpg highway) versus a Toyota Prius (48 mpg highway) at speeds of 55 mph, 60 mph, and 70 mph.
Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

The efficiency of Toyota Camry is 33 mpg highway.

At speeds of 55 mph, Toyota Camry's efficiency is 33 mpg highway.

At 60 mph, the efficiency of Toyota Camry will reduce 3%, that is (100 - 3) = 97% of 33 = \frac{97\times33}{100} = 32.01 mpg highway.

At 70 mph, the efficiency of Toyota Camry will reduce 17%, that is (100 - 17) = 83% of 33 = \frac{33\times83}{100} = 27.39 mpg highway.

At speeds of 55 mph, the efficiency of Toyota Prius is 48 mpg highway.

At 60 mph, the efficiency of Toyota Prius will reduce 3%, that is (100 - 3) = 97% of 48 = \frac{97\times48}{100} = 46.56 mpg highway.

At 70 mph, the efficiency of Toyota Prius will reduce 17%, that is (100 - 17) = 83% of 48 = \frac{83\times48}{100} = 39.84 mpg highway.

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Two dice are tossed together. What is the probability of getting an odd number on the second die and a total of five?
wolverine [178]

Probability = (number of ways to succeed) / (total possible outcomes) .

The total possible results of rolling two dice is

   (6 on the first cube) x (6 on the second one) = 36 possibilities.

How many are successful ?  I need you to clarify something first.
You said that the 'second die' shows an odd number.  When a pair
of dice is rolled, the problem usually doesn't distinguish between them. 
And in fact, you said that they're "tossed together" (like a spinach and
arugula salad ?) so I would understand that they would lose their identity
unless they were, say, painted different colors, and we wouldn't know
which one is the second one.

Oh well, I'll just work it both ways:

First way: 
Two identical dice are tossed.
The total is 5 and ONE cube shows an odd number.

How can that happen ?

1 ... 4
4 ... 1
3 ... 2
2 ... 3         

Four possibilities.  Probability = 4/36 = 1/9 = 11.1% .

=======================================

Second way:
 
A black and a white cube are tossed together.
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How can that happen:

B ... W
4 .... 1
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3 0
3 years ago
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4 0
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The measure of an angle is 9°. what is the measure of a complementary angle?
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8 0
3 years ago
Solve the equation 58 - 10x ≤ 20 + 9x
drek231 [11]

Answer:

x≥2

Step-by-step explanation:

First, write out the equation as you have it:

58-10x\leq20+9x

Then, add 10x to both sides:

58-10x+10x\leq20+9x+10x\\58\leq20+19x

Next, subtract 20 from both sides:

58-20\leq20-20+19x\\38\leq19x

Finally, divide both sides by 19:

\frac{38}{19}\leq\frac{19x}{19}\\2\leq x

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x\geq 2

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6 0
3 years ago
Please look at the picture. I answered b but it was incorrect. <br> Please help.
LuckyWell [14K]

9514 1404 393

Answer:

  d.  14 -3x

Step-by-step explanation:

If you want to substitute for y in the second equation, you must use the first equation to find an expression for y.

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This gives you the expression for y that you want to use for substitution. It matches the expression of choice D.

  y = 14 -3x . . . . matches D

6 0
3 years ago
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