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Mumz [18]
3 years ago
10

1 2/5 divided by 2 3/4

Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0

The answer is 28/55.

In order to find this, the easiest thing to do is to make both of the terms improper fractions. To do that for any term, you need to multiply the big number by the bottom of the fraction (denominator) and then add that to the top number (numerator). Then this can be expressed over the original bottom number.

\frac{WHOLE*BOTTOM + TOP}{BOTTOM}

\frac{1*5 + 2}{5}

\frac{7}{5}

Now do the same for the second fraction.

\frac{WHOLE*BOTTOM + TOP}{BOTTOM}

\frac{2*4 + 3}{4}

\frac{11}{3}

Now that we have both in that way, we can flip the second fraction and multiply. This is the same as dividing when you are using fractions.

\frac{7}{5} / \frac{11}{4}

\frac{7}{5} * \frac{4}{11}

\frac{28}{55}

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Answer:

Option C is correct.

The equation f(x)= -\frac{1}{2}x +4 represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points (x_1, y_1) and  (x_2, y_2) the equation of line is given by:

y -y _1 = m(x-x_1) ......[1] ;where m is the slope given by:

m = \frac{y_2-y_1}{x_2-x_1}

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

m = \frac{y_2-y_1}{x_2-x_1}= \frac{4-2}{0-4}

m = \frac{2}{-4} = -\frac{1}{2}

Now, substitute in equation [1]  we have:

y - 2 = -\frac{1}{2} (x-4)

Distributive property i.e,  a\cdot (b+c) = a\cdot b + a\cdot c

y -2 = -\frac{1}{2}x +2

Add both sides 2 we get;

y -2+2 = -\frac{1}{2}x+2+2

Simplify:

y = -\frac{1}{2}x+4

Since, y= f(x)

f(x)= -\frac{1}{2}x +4

therefore, the equation f(x)= -\frac{1}{2}x +4 represents the function.


8 0
3 years ago
Amelia needs to buy some cat food. At the nearest store, two bags of cat food cost $7.50. How much would Amelia spend on three b
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Answer:

♡Henlo friend~♡

2 bags of cat food is $5.50, multiply that by three and get six bags for $16.50♡

Therefore, the answer is $16.50.

Have a great day! ʕ •ᴥ•ʔ

~ Clara

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Step-by-step explanation:

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The first step in solving any word problem is to read the problem carefully.

Steps would be as follows:
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