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3 years ago

Which fraction is NOT equivalent to 8/12 and why?

Mathematics

2 answers:

spin [16.1K]3 years ago

7 0

8/12 simplifies to 2/3 by dividing the top and bottom by 4

24/36 divide top and bottom by 12= 2/3

4/6 divide top and bottom by 2 = 2/3

6/10 divide top and bottom by 2 = 3/5

Choice D

nlexa [21]3 years ago

5 0

look at the numerator and denominator. if you can use the same number to multiple or divde to get it

B is equivalent because 8/12 becomes 24/26 if I times by 3/3

The answers is A btw

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Arthur hs 20/8 cups of dish wahing detergent, he uses 1/4 cup for each load, how many loads can he do

scoray [572]

Answer:

Step-by-step explanation:

4 0

3 years ago

Which ordered pair would form a proportional relationship with the point graphed below? (60,-20)

valentina_108 [34]

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

$y\propto x$

$y=kx$

$\dfrac{y}{x}=k$

Where, k is the constant of proportionality.

For the given point,

$k=\dfrac{-20}{60}$

$k=\dfrac{-1}{3}$

For option (A),

$k=\dfrac{30}{-10}$

$k=-3\neq \dfrac{-1}{3}$

For option (B),

$k=\dfrac{-15}{30}$

$k=-\dfrac{1}{2}\neq \dfrac{-1}{3}$

For option (C),

$k=\dfrac{10}{-30}$

$k=\dfrac{-1}{3}$ .

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

7 0

3 years ago

Write the following sum using summation notation -2/5+3/6-4/7........11/14

horrorfan [7]

Answer:

$\sum_{n=1}^{10}(-1)^n\left ( \frac{n+1}{n+4} \right )$

Step-by-step explanation:

Given: $\frac{-2}{5}+\frac{3}{6}-\frac{4}{7}+...+\frac{11}{14}$

To write: the given expression using summation notation

Solution:

Summation notation helps to write a long sum as a single expression.

In the summation notation, the variable $\sum$ is called the index of summation.

Let $x_1,x_2,x_3,...,x_n$ denote a set of n numbers.

Then in summation notation,

$x_1+x_2+x_3+...+x_n=\sum_{i=1}^{n}x_i$

$\frac{-2}{5}=(-1)^1\left ( \frac{1+1}{1+4} \right )\\\frac{3}{6}=(-1)^2\left ( \frac{2+1}{2+4} \right )\\\frac{-4}{7}=(-1)^3\left ( \frac{3+1}{3+4} \right )\\.\\.\\.\\\frac{11}{14}=(-1)^10\left ( \frac{10+1}{10+4} \right )\\\therefore \frac{-2}{5}+\frac{3}{6}-\frac{4}{7}+...+\frac{11}{14}=\sum_{n=1}^{10}(-1)^n\left ( \frac{n+1}{n+4} \right )$

3 0

3 years ago

Approximately 70% of high school graduates attend college. If Smith Town has a graduating class of 300 students, how many can be

Ann [662]

Answer:

210

Step-by-step explanation:

Multiply by the total amount by the decimal equivalent of 70% (0.7) to get your answer.

7 0

3 years ago

HELP DUE IN 2 HOURSSS

tekilochka [14]

Answer:

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Step-by-step explanation:

m = y2 - y1/ x2 - x1 (It doesn't matter which you choose to be y2 and y1, just make it consistent)

m = 4.2 - 2.1/ 4 - 2

m = 2.1 / 2

m = 1.05

6 0

3 years ago