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3 years ago

What is the value of x?

Mathematics

1 answer:

Ratling [72]3 years ago

4 0

Answer:

4x+7 = 5x-20

(reason: vertical angles are congruent; property used: distributive)

7 = 1x-20

1x = 7+20

1x = 27

x = 27

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Water is placed in a cellular bucket on a bench The book has a diameter of 12 in and a height of 12 in The bucket is capable of

Ilya [14]

Answer:

bucket of water = 50.397 lbs

Step-by-step explanation:

Pi(r^2)(h) = volume

3.14(6^2)(12) = 1356.48 in^3 = volume of bucket

one ft^3 = 12 x 12 x 12 = 1728 in^3

1356.48/1728 = 0.785 ft^3 (volume of bucket)

0.785(64.2) = 50.397 lbs

6 0

2 years ago

A motor vehicle has a maximum efficiency of 39 mpg at a cruising speed of 40 mph. The efficiency drops at a rate of 0.1 mpg/mph

svp [43]

Answer:

38 mpg

Step-by-step explanation:

Initial efficiency = 39 mpg

Initial speed = 40 mph

Final speed = 50 mph

The efficiency drop between 40 mph and 50 mph is given by:

$E_d = 0.1 \frac{mpg}{mph}*\Delta V$

The total efficiency drop from 40 to 50 mph is:

$E_d = 0.1 \frac{mpg}{mph}*(50-40)mph\\E_d = 1\ mpg$

Therefore, the efficiency at 50 mph is:

$E_{50} = E_{40} -E_d\\E_{50} = 39 -1\\E_{50} = 38\ mpg$

5 0

3 years ago

Ariana builds wooden furniture in her wood shop. Her most popular product is an oak glider. There is a proportional relationship

sesenic [268]

10 days - 5 days = 5 days.

6 gliders - 3 gliders = 3 gliders.

They make 3 gliders in 5 days: 3/5 = 0.6 gliders per day.

y = 0.6x

The answer is A.

5 0

2 years ago

Find the difference quotient of the exponential function, f(x) = e^x

Orlov [11]

Answer:

Step-by-step explanation:

The difference quotient in general looks like

$\frac{f(x+h)-f(x)}{h}$ Sometimes the symbol "delta x" $\Delta x$ is used instead of h.

For the exponential function, the difference quotient is

$\frac{e^{x+h}-e^x}{h}$

5 0

2 years ago

I made a 3.5 hour phone call, it cost $10. How much would 1 hour be?

Vlad1618 [11]

Answer:

1 hour would cost $0.35.

Step-by-step explanation:

Divide 3.5 by 10.

8 0

2 years ago