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3 years ago

Determine the rate of change for 3/2x -5/4y = 15

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

6 0

Answer:

-6/5

Step-by-step explanation:

3/2x - 5/4y = 15

-5/4y = -3/2x + 15

multiply each side by (-4/5)

(-4/5)(-5/4y) = (-4/5)(-3/2x + 15)

y = -6/5x - 12

rate of change: -6/5

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Which is a better estimate for the weight of a double-decker bus

tia_tia [17]

Step-by-step explanation:

Coaches are typically sized to a height of 4.38 meters, whereas 'high-bridge' vehicles are usually around 20 centimeters higher. At an average height of 18.65 metres, integrated double-deckers are often permitted .

3 0

2 years ago

If DF = 9x -39 find EF

Klio2033 [76]

|DF| = |DE| + |EF|

|DF| = 9x -36

|DE| = 47

|EF| = 3x+10

Substitute:

9x - 39 = 47 + 3x + 10

9x - 39 = 3x + 57 |+39

9x = 3x + 96 |-3x

6x = 96 |:6

x = 16

Put the value of x to the equation |EF| = 3x + 10

|EF| = (3)(16) + 10 = 48 + 10 = 58

Answer: |EF| = 58

7 0

3 years ago

Read 2 more answers

Five hundred teenagers were sampled at random about their favorite movie genre. The results are listed in the table below. Out o

MaRussiya [10]

Answer:

924 teenagers

Step-by-step explanation:

154 / 500 ×3000

= 924

Since 154 teenagers out of 500 prefer action movies, you'll just divide them by their total number 500 multiplied by the other total number 3000 to get the others who prefer action movies.

trying the others too

sci- fi

116 / 500 × 3000

= 696

romance

109 / 500 × 3000

= 654

comedy

78 / 500 × 3000

= 468

drama

43 / 500 × 3000

= 258

putting all of them together should give u ur total number

924 + 696+ 654 + 468 +258

= 3000

5 0

2 years ago

If the total value of the coins is 36¢, what is the missing coin?

laiz [17]

Answer:

1 penny 3 nickels 2 dimes = 36 cents

quarter

Step-by-step explanation:

8 0

2 years ago

Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,

Dmitry_Shevchenko [17]

Answer:

$\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250$

Step-by-step explanation:

Given:

$T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}$

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

$T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}$

now we need to solve this integral!

$T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}$

$T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0$

$T = \left|-1250e^{-0.04t}\right|^{\infty}_0$

$T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})$

when any number has a power of negative infinity it is 0. because: $a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0$ , like something being divided by a very large number!

$T = (-1250(0))-(-1250e^0)$

$T = 1250$

this is the total amount of waste

6 0

2 years ago