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Karolina [17]
3 years ago
6

Number 8 please help me

Mathematics
2 answers:
Cloud [144]3 years ago
8 0

Answer:

.70 8.40 divided by 12 because a dozen is equal to 12

Anit [1.1K]3 years ago
3 0

Answer:

<h2>8. 70¢ per hot dog</h2><h2>10. 21 words per minute</h2>

Step-by-step explanation:

8. To solve this, we divide the cost by 12 to get the cost for one hot dog.

$8.40 ÷ 12 = $0.70

70¢ per hot dog

10. To find the unit rate multiply both sides by 3/2, because that multiplied by 2/3 = 1.

14 × 3/2 = 21

21 words per minute

(I know that I didn't have to solve 10, but I saw another question with that one wanting to be solved, and figured I'd give you both answers in one)

I'm always happy to help :)

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Match the pairs of equations that represent concentric circles. Tiles
Darina [25.2K]
I will explain you and pair two of the equations as an example to you. Then, you must pair the others.

1) Two circles are concentric if they have the same center and different radii.

2) The equation of a circle with center xc, yc, and radius r is:

(x - xc)^2 + (y - yc)^2 = r^2.

So, if you have that equation you can inmediately tell the coordinates of the center and the radius of the circle.

3) You can transform the equations given in your picture to the form (x -xc)^2 + (y -yc)^2 = r2 by completing squares.

Example:

Equation: 3x^2 + 3y^2 + 12x - 6y - 21 = 0

rearrange: 3x^2 + 12x + 3y^2 - 6y = 21

extract common factor 3: 3 (x^2 + 4x) + 3(y^2 -2y) = 3*7

=> (x^2 + 4x) + (y^2 - 2y) = 7

complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 7

=> (x + 2)^2 + (y - 1)^2 = 12 => center = (-2,1), r = √12.

equation: 4x^2 + 4y^2 + 16x - 8y - 308 = 0

rearrange: 4x^2 + 16x + 4y^2 - 8y = 308

common factor 4: 4 (x^2 + 4x) + 4(y^2 -8y) = 4*77

=> (x^2 + 4x) + (y^2 - 2y) = 77

complete squares: (x + 2)^2  - 4 + (y - 1)^2 - 1 = 77

=> (x + 2)^2 + (y - 1)^2 = 82 => center = (-2,1), r = √82

Therefore, you conclude that these two circumferences have the same center and differet r, so they are concentric.
5 0
3 years ago
Two numbers have a sum of 68 and a difference of 46
monitta

Answer:

57 and 11

Step-by-step explanation:

57+11=68

57-11=46

3 0
3 years ago
Read 2 more answers
Oliver is buying his new soccer uniform his jersey was $21.50 his cleats for $44.95 and his water bottle was $12 if you paid wit
Anon25 [30]

Answer:

$21.55

Step-by-step explanation:

21.50 + 44.95 + 12 = $78.45

100 - 78.45= $21.55

8 0
3 years ago
Read 2 more answers
the least square yard is 15 yards by 15 yards. how many feet of fencing will they need to buy to fence in all four sides
vekshin1
The answer is 225

plz mark as brainliest. i really need it
6 0
3 years ago
I need help for solving 4.8(x+4)=2.16
Bas_tet [7]
I hope this helps you



4,8 (x+4)=2,16



48 (x+4)=21,6


x+4=21,6/48


x+4= 0,45


x=0,45-4


x= -3,55


5 0
3 years ago
Read 2 more answers
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