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2 years ago

8

Your city is having a sneaker convention! A pair of Ground Morgans is 20% less expensive than a pair of Elite Butterflies, Elite

Butterflies are 30% more expensive than Cloud Trainers, and Cloud Trainers are 50% less expensive than Floating Jumps. What percent of the cost of a pair of Floating Jumps is a pair of Ground Morgans?

1 answer:

sashaice [31]2 years ago

8 0

The percent of the cost of a pair of Floating Jumps is a pair of Ground Morgans is 48% Expensive.

<u>Explanation:</u>

Let the cost of Ground Morgans be 100

Cost of Ground Morgans = Cost of Elite Butterflies – 20% Cost of Elite Butterflies

100 = 0.8 X Cost of Elite Butterflies

125 = Cost of Elite Butterflies

Similarly,

Cost of Cloud Trainers = 96.15

Cost of Floating Jumps = 192.3

Hence % of Floating Jumps to Ground Morgans = (192.3 – 100)/192.3 = 47.99 = 48%

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The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted up 3 units. What is its equation

Aliun [14]

For this case, the parent function is given by:
$G (x) = x ^ 2
$
Applying the following transformation we have:
Vertical displacement
Assume k> 0,
To graph y = f (x) + k, move the graph k units up.
We have then:
$F (x) = G (x) + 3

F (x) = x ^ 2 + 3$
Answer:
the equation of F (x) is given by:
$F (x) = x ^ 2 + 3$

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2 years ago

Robert was able to travel 292.0 miles in 4.000 hours and used 38 liters of gasoline. What was robert's speed in feet per second?

torisob [31]

Distance traveled by Robert = 292 miles

Time taken by Robert to cover this distance = 4 hours.

Now converting miles in feet.

1 mile = 5280 feet

so, 292 feet = 292 * 5280 = 1541760 feet

Now converting 4 hours in seconds.

1 hour = 3600 seconds

so, 4 hours have 3600 * 4 = 14400 seconds.

Now the question says, we have to find the speed in feet per second

$speed = \frac{distance}{time}$

equals,

$\frac{1541760}{14400}$

= 107.067 feet per second

8 0

2 years ago

Find the probability of rolling divisors of 12

AVprozaik [17]

If you're talking about dice than there are six sides of a die, right? 5 of those 6 numbers are divisors of 12. 1,2,3,4, and 6. 5/6 is 0.833... which is 83% of 6. So the probability of rolling divisors of 12 is 83%.

5 0

2 years ago

Read 2 more answers

World poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year. Assume tha

dezoksy [38]

Answer:

A) $P(t)=77.2\cdot e^{0.016t}$

B) 89.157 million tons.

C) In year 2017.

Step-by-step explanation:

We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.

A). We know that a continuous growth function is in form $y=a\cdot e^{kx}$ , where,

a = Initial value,

k = Growth rate in decimal form.

$1.6\%=\frac{1.6}{100}=0.016$

Upon substituting our given values, we will get:

$P(t)=77.2\cdot e^{0.016t}$

Therefore, our required function would be $P(t)=77.2\cdot e^{0.016t}$ , where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.

B) To find the world poultry production in the year 2013, we will substitute $t=2013-2004=9$ in above formula as:

$P(9)=77.2\cdot e^{0.016(9)}$

$P(9)=77.2\cdot e^{0.144}$

$P(9)=77.2\cdot 1.1548841085249135$

$P(9)=89.1570531781\approx 89.157$

Therefore, the world poultry production in the year 2013 would be 89.157 million tons.

C) To find the number of years it will take for world poultry production to be over 95 million tons, we will equate our function with 95 as:

$95=77.2\cdot e^{0.016t}$

Divide both sides by 77.2:

$1.2305699481865285=e^{0.016t}$

Take natural log of both sides:

$\text{ln}(1.2305699481865285)=\text{ln}(e^{0.016t})$

$\text{ln}(1.2305699481865285)=0.016t\text{ln}(e)$

$0.20747743456981035=0.016t*1$

Divide both sides by 0.016:

$t=12.9673396606$

$t\approx 13$

Therefore, 13 years after in 2017 world poultry production goes over 95 million tons.

4 0

2 years ago

The minimum distance from Earth to the Sun is 91.4 million miles. The maximum distance is 94.5 million miles write a absolute va

d1i1m1o1n [39]

Solution :

The minimum distance from Earth to the Sun is 91.4 million miles

The maximum distance is 94.5 million miles

$d_{min} = 91.4, d_{max} = 94.5$

$d=\frac{d_{min} + d_{max}}{2}$

$d=\frac{91.4 + 94.5}{2}$

d=92.95

$d_{sol}=\frac{d_{max} - d_{min}}{2}$

$d_{sol}=\frac{94.5 - 91.4}{2}$

$d_{sol} =1.55$

Absolute Value Equation:

|x - d| = $d_{sol}$

|x - 92.95| = 1.55

5 0

2 years ago