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2 years ago

Does this represent quntitites that are proportional

Mathematics

1 answer:

Yuki888 [10]2 years ago

6 0

Answer:

Step-by-step explanation:

Not all of the pairs represent the same ratio

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Helen determined she walks about 1,800 steps per 4/5 mile. How many steps did she take if she walked 3 miles?

olga_2 [115]

$1,800\ steps\ \ \rightarrow\ \ \frac{4}{5} \ mile\\ x\ \ \rightarrow\ \ 3\ miles\\ \\\frac{4}{5} \cdot x=1,800\cdot 3\ /\cdot\frac{5}{4} \\ \\x=1,800\cdot\frac{5}{4}\cdot3 \\ \\x=450\cdot15\\ \\x=6750\ [steps]$

3 0

3 years ago

Read 2 more answers

HELP ILL GIVE U BRAINLESS I NEED THIS ANSWER FAST! I’ll make u art tol

lapo4ka [179]

1: 80% The reason why is because if you do 4/5, you get .80, move the decimals to places to the right, and you get 80%

2: 95% Process of Elimination, and Educated Guess.

3: 33 1/3% If you do 50/150, you get 0.33333... Like I said, move the decimal point two places to the right, and you get 33.33...%

I hope this helps, and Happy Holidays! :)

4 0

3 years ago

Factor completely x^3 + 1/8

maksim [4K]

Answer:

((2 x + 1) (4 x^2 - 2 x + 1))/8

Step-by-step explanation:

Factor the following:

x^3 + 1/8

Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:

(8 x^3)/8 + 1/8

(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:

(8 x^3 + 1)/8

8 x^3 + 1 = (2 x)^3 + 1^3:

((2 x)^3 + 1^3)/8

Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):

((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8

1^2 = 1:

((2 x + 1) ((2 x)^2 - 2 x + 1))/8

Multiply each exponent in 2 x by 2:

((2 x + 1) (2^2 x^2 - 2 x + 1))/8

2^2 = 4:

Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8

5 0

3 years ago

Read 2 more answers

its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai

brilliants [131]

$T = \frac{-9}{2}x + 103$ is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

Solution:

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain

Given, when c = 6 thousand ft and $T = 76^{\circ}$ fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c ----- (ii)

Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain

Given, when c = 12 thousand ft and $T = 49^{\circ}$ fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

$c = \frac{-9}{2}$

Substituting the value of c in (ii) we get

$k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103$

Substituting the value of c and k in (i)

$T = \frac{-9}{2}x + 103$

Where "x" is in thousands of feet

Thus the required linear equation is found

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3 years ago

What is 2a - 8a = 12 - 8a

kicyunya [14]

2a-8a=12-8a
now add 8a to both side and you get

2a= 12

divide both sides by 2 and you get

a=6

6 0

3 years ago

Read 2 more answers