The perimeter of a square is 80-64y units. Which expression can be used to show the side length of one side of the square?

The equations below represent the numbers y of tickets sold after x weeks for two different local music festivals

Anton [14]

Assuming you mean y=10x+150 and y=20x+115, you need to use a simultaneous equation, because you have two equations with two unknowns (x and y)

rearrange so
10x-y=-150
20x-y=-115

multiply the top by -1, so that if we add the two lines together, the y will cancel out
-10x+y=150
20x-y=-115

add the two lines together
10x=35
x=3.5

so the time is 3 and a half weeks

then we can sub in x to find y
20x-y=-115
20(3.5)-y=-115
70-y=-115
-y=-185
y=185

so 185 tickets were sold !
you can sub these values into your original equations to check your answer :)

5 0

2 years ago

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Train A traveled 173 miles in five hours. For Train B, y = 31.35x represents its rate of speed over the same five hours. Which t

kap26 [50]

D) Train A by a factor of 1.1
Train A: 17/35 = 34.6

Train B: Rate is the slope of the equation, 31.35

Thus,34.6/31.35 = 1.1036

4 0

2 years ago

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Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches. What is

NNADVOKAT [17]

Answer:

The probability that the man is greater than 74 inches is 0.1587

Step-by-step explanation:

The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values

The standard normal variate factor (Z) is given by

$Z=\frac{x-\bar {X}}{\sigma }$

where

$\bar{x}$ is mean of the data

$\sigma$ is the standard deviation of the data

Thus corresponding to x = 74 the Z factor equals

$Z=\frac{74-70}{4}=1$

Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals

0.1587

6 0

2 years ago

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

So

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$