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sesenic [268]
2 years ago
6

Fill in the blanks 3/4 (12x-16) = 1/3 (?x-?)

Mathematics
1 answer:
Marina CMI [18]2 years ago
3 0

Answer:

Step-by-step explanation:

3/4 * 12 = 9

3/4 * 16 = 12

So rewriting the left side, you get

9x - 12

The numbers written on either side of the x when multiplied by 1/3 must equal 9 and 12

9*3 = 27

12*3 = 36

The answer is

1/3 ( 27x - 36)

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When Mei does 17 push-ups and 6 sit-ups, it takes a total of 35 seconds. In comparison, she needs 41 seconds to do 20 push-ups a
Romashka [77]

Answer:

It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

Step-by-step explanation:

Given:

Let the time taken for push-ups be 'x'.

Let the time taken for sit-ups be 'y'.

Now Given:

17 push-ups and 6 sit-ups, it takes a total of 35 seconds.

So we can say that;

17x+6y=35 \ \ \ \ equation \ 1

Also Given:

41 seconds to do 20 push-ups and 7 sit-ups.

so we can say that;

20x+7y=41 \ \ \ \ equation \ 2

Now Multiplying equation 1 by 7 we get;

7(17x+6y)=35\times7\\\\119x+42y= 245 \ \ \ \ equation \ 3

Now Multiplying equation 2 by 6 we get;

6(20x+7y)=41\times6\\\\120x+42y = 246 \ \ \ \ equation\ 4

Now Subtracting equation 3 from equation 4 we get;

120x+42y-(119x+42y)=246-245\\\\120x+42y-119x-42y=1\\\\x=1\ sec

Now substituting the value of x in equation 1 we get;

17x+6y=35\\\\17\times1+6y=35\\\\17+6y=35\\\\6y=35-17\\\\6y= 18\\\\y=\frac{18}6 = 3\ seconds

Hence It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

7 0
2 years ago
20 POINTS ASAP 16 = 2^x − 2 <br><br>a)2 <br><br>b)4 <br><br>c)6 <br><br>d)8
Lilit [14]

Answer:

4

Step-by-step explanation:

Exact Form:

x

=

ln( 18)

---------

ln (2)

Decimal Form:

x=4.16992500

…

8 0
3 years ago
Raffle tickets are being sold for a fundraiser. The function a(n) relates the
Vlada [557]

Answer:

If the function is

A(n) = 4n -25

and we wish to get the inverse function N(a)

We let

A(n) = a

n = N(a)

Plugging in the values

a = 4 N(a) - 25

Arranging the equation:

4 N(a) = a + 25

N(a) = (a + 25) /4

The answer is

N(a) = (a + 25) /4

Step-by-step explanation:

8 0
3 years ago
Needs help with linear equations got 10 questions in all the picture posted is the first one.
madreJ [45]
Your equation would be T=.002n.
5 0
3 years ago
Find the midpoint of points A(-3,9) and B(0, 1) graphically.
Studentka2010 [4]

Answer:

(-\frac{3}{2} , 5)

Step-by-step explanation:

The graph is in the image

Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2})  \\\\Simplify\\\\(-\frac{3}{2} , 5)\\

7 0
3 years ago
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