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Lisa [10]
3 years ago
6

Suppose that r varies directly with s and inversely with t, and r = 2 when s = 3 and t = 12. What is the value of r when s = 5 a

nd t = 4?
A. 2/5
B.32/5
C.10
D.20
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0
The statement suppose <span>that r varies directly with s and inversely with t is best represented as:

r </span>α s/t

To make it into equality, we insert a proportionality constant, k:

r = ks/t

Using the initial conditions, we solve for k.

r = ks/t
<span>r = 2 when s = 3 and t = 12

2 = k(3)/12
k = 8

Thus, when </span><span>s = 5 and t = 4,
</span>
r = 8(5)/4
r = 10 -----> OPTION C
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Anyone help me pls :(
Elis [28]

Answer:

1 - G;

2 - R;

3 - E;

4 - D;

5 - T;

6 - J;

7 - O;

8 - B;

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) * 180 ∘ where n is the number of sides.

1) (4 - 2) * 180 = 360 therefore X + 100 + 118 + 53 = 360  =>  X = 360 - 100 - 118 - 53 = 89   =>   X = 89

2) (5 - 2) * 180 = 540  => 90 + 90 + X + 128 + X = 540 => 2*X = 540 - 90 - 90 - 128 = 232   =>   X = 116

3) (6 - 2) * 180 = 720 => 101 + 126 + X + 96 + 147 + 135 = 720 => X = 720 - 101 - 126 - 96 - 147 - 135 = 115   =>   X = 115

4) (9 - 2) * 180 = 7 * 180, since all angles are equal the answer is 7 * 180 / 9 = 7 * 20 = 140    =>   X = 140

5) (5 - 2) * 180 = 540 => 90 + 131 + 102 + X + 145 = 540 => X = 540 - 90 - 131 - 102 - 145 = 72   =>   X = 72

6) Since the sum of the linear pair angles equal 180, X = 180 - 70 = 110 => X = 110

7) (4 - 2) * 180 = 360; Linear pair angle for 73 is 180 - 73 = 107, that means X + 102 + 39 + 107 = 360  =>  X = 360 - 102 - 39 - 107 = 112   =>   X = 112

8) (5 - 2) * 180 = 540;  Linear pair angle for 84 is 180 - 84 = 96;  Linear pair angle for 79 is 180 - 79 = 101;  Linear pair angle for 34 is 180 - 34 = 146; so X + 90 + 96 + 101 + 146 = 540   =>   X = 540 - 90 - 96 - 101 - 146 = 107  => X = 107

4 0
2 years ago
Emily claims that y = 2x^2 —3 is a linear function.
Veseljchak [2.6K]
The anser is that what i think
5 0
2 years ago
Please help me thanks :)
Lina20 [59]

Answer:

A

Step-by-step explanation:

To sovle this we must combine the numbers togther and the variables togther.

We have:

8c+6-3c-2

Lets take out the c's and combine them:

8c -3c

=

5c

Now lets take out the numbers:

6-2

=

4

Now lets put these back together and we get the expression:

5c+4

This looks like A.

Hope this helps! :D

8 0
2 years ago
HELP I GIVE BIG BRAIN!!! see attachment
Evgesh-ka [11]
Evet canım çok teşekkür ederim canım benim için çok teşekkür ederimmm
4 0
2 years ago
In a hospital there are 56 TB patients. The patients are grouped with respect to their ages.
zalisa [80]
<span>Table:

Class Boundaries         Frequency

5-10                              8

10-15                            9

15-20                          15

20-25                          10

25-30                           8

30-35                           6
                                ----------
total                           56

Average =

[5+10]/2*8+[10+15]/2*9+[15+20]/2*15+[20+25]/2*10+[25+30]/2*8+[30+35]/2*6
---------------------------------------------------------------------------------------------------
</span>                                                      56

That is 1075 / 56 = 19.2

Answer: 19

5 0
3 years ago
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