How do the expressions 72 divided by 9 and Negative 72 divided by (negative 9) compare when they are evaluated?

A woman drives an SUV that gets 11 mi/gal (mpg). Her husband drives a hybrid that gets 65 mpg. Every week, they travel the sam

SOVA2 [1]

Answer:

The correct solution is " $(45.5>39) \ mpg$ ". A further explanation is provided below.

Step-by-step explanation:

The above query seems to be incomplete. Below is the attachment of the complete question is attached.

Given that,

For SUV,

= 11 (mpg)

For hybrid ghost,

= 65 mpg

Now,

Option 1:

After tuning, the mileage of SUV will be:

= $11+2$

= $13 \ mpg$

Average mileage will be:

= $\frac{13+65}{2}$

= $\frac{78}{2}$

= $39 \ mpg$

Option 2:

Given:

Mileage of new hybrid,

= 80 mpg

Now,

Average mileage will be:

= $\frac{11+80}{2}$

= $\frac{91}{2}$

= $45.5 \ mpg$

Thus we can say that the second option gives better mpg as compared to the first one.

i.e.,

⇒ $(45.5>39) \ mpg$

4 0

2 years ago

A basketball team scored 78 points in their championship win over their rival. The team scored 25 baskets worth 2 points and mad

solong [7]

25(2) + 7(1) + 3x = 78....x represents the number of 3 point shots
50 + 7 + 3x = 78
57 + 3x = 78
3x = 78 - 57
3x = 21
x = 21/3
x = 7....so there were 7 three-point shots made

3 0

2 years ago

15q – 4r = 62 5q + 8r = 86

KIM [24]

Answer:

q = 6; r = 7

Step-by-step explanation:

3 0

3 years ago

Mr. Chase is having a party for his teachers. If the pizzeria cuts their pies into eight slices and each teacher is eating 1/8 o

Ivanshal [37]

6 pies.

If 8 teachers finish one whole pie, and they need to feed 47, then they need 6 pies with 8 slices each aka 48 slices total, there will be one slice leftover for the principal :D

6 0

1 year ago

A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete t

Aleksandr [31]

Answer:

y = -190 cos(π t / 120) + 195

Step-by-step explanation:

General form of a sinusoidal function: y = A cos(Bt - C) + D

Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.

A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.

2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.

C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.

D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.

Your final function will be:

y = -190 cos(π t / 120) + 195

7 0

2 years ago