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Daniel [21]
3 years ago
10

Help please solve for the given variable -8 (7k - 5) + 7(7k - 7) = 1 - 5k - k - 7

Mathematics
1 answer:
cluponka [151]3 years ago
8 0
- 8(7k-5) + 7(7k-7) = 1 - 5k - k - 7
- 56k + 40 + 49k - 49 = 1 - 6k - 7
13k = 3
k = 3/13

i am a mathematics teacher. if anything to ask please pm me
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The equation of the line with slope = 3, going through point (2, 4) is:
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2 years ago
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David bought 3 dvds and 4 books for $40 at a yard sale. Anna bought 1 dvd and 6 books for $18. How much did each dvd and book co
Ber [7]

Answer:

A book is worth $1 and a DVD is worth $12.

Step-by-step explanation:

The equations (2 unknowns and two equations, d is for a DVD and b is for a book):

For David: 3d+4b=40

For Anna: d+6b=18

Now multiply the second equation with -3 and add to the first equation:

3d+4b=40

−3d−18b=−54

Combined equation: −14b=−14 and b=1 (means that each book is worth $1).

 

Now for DVD price, use the second equation:

d=18−6 or d=12 (means that each DVD  is worth $12).

A book is worth $1 and a DVD is worth $12.

8 0
3 years ago
Is the sum the sum of the arithmetic 1635?​
horsena [70]

Answer:

1199

Step-by-step explanation:

There are 22 terms in the sum:

23 + 26 + 29 + ... + 80 + 83 + 86 =

= (23 + 86) + (26 + 83) + ... + (53 + 56)

= 109 + 109 + ... + 109

= 11(109)

= 1199

7 0
3 years ago
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The diagonal length of a rectangle is 25 inches, and the length of the rectangle is 9 inches.
diamong [38]

Answer:

Option C is the right answer.

Step-by-step explanation:

Given that:

Length of diagonal = 25 inches

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Width of rectangle will be one of the two legs of right angled triangle and the diagonal will be the hypotenuse.

Using Pythagorean theorem;

a^2+b^2=c^2\\(9)^2+w^2=(25)^2\\81 + w^2 = 625 \\w^2 = 625-81\\w^2 = 544

Taking square root;

\sqrt{w^2}=\sqrt{544}\\w=23.3

Therefore,

Option C is the right answer.

3 0
3 years ago
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notsponge [240]

Answer:

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Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 45 = x/2

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sqrt(2) =x

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3 years ago
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