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VashaNatasha [74]
3 years ago
14

Which is the best buy?

Mathematics
1 answer:
sesenic [268]3 years ago
8 0
3 bottles of juice
6.72/3 = $2.24 < amount paid for each bottle

11 bottles of juice
24.86/11 = $2.26 <amount paid for each bottle

9 bottles of juice
20.25/9 = $2.25 < amount paid for each bottle

16 bottles of juice
35.68/16 = $2.23 < amount paid for each bottle

*the best buy would be to get 16 bottles for $35.68*




10 bars of soap
23.20/10 = $2.32 < amount for each bar of soap

16 bars of soap
36.48/16 = $2.28 < amount for each bar of soap

13 bars of soap
29.51/13 = $2.27 < amount paid for each bar of soap

12 bars of soap
27.60/12 = $2.30 < amount for each bar of soap

*the best buy would be to get 13 bars of soap for $29.51*

hope this helps :)



















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The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumferenc
avanturin [10]

9514 1404 393

Answer:

  2πr cm

Step-by-step explanation:

The circumference of a circle of radius r is ...

  C = 2πr

For a radius of (r cm), the circumference is ...

  A = 2π(r cm) = 2πr cm

For a radius of (2r cm), the circumference is ...

  B = 2π(2r cm) = 4πr cm

Then the difference between the circumferences is ...

  B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference

3 0
3 years ago
A rocket is launched straight up from the ground with an initial velocity of 192 feet per second. The equation for the height of
Ivenika [448]

The equation for the height of the rocket at time t given

h= -16t^2+192t

We have to find the time t, when the rocket reaches 560 feet.

That means we have to find t when h = 560 ft. we will place 560 in the place of h to find t now.

h= -16t^2+192t

560 = -16t^2+192t

In the right side, we can check -16 is the common factor. So we will take out -16 from the rigbht side.

560 = -16(t^2 - 12t)

To get rid of -16 from the right side and move it to left side, we will divide both sides by -16.

560/-16 = -16(t^2-12t)/-16

-35 = t^2 -12t

Now we will move -35 to the righ side by adding 35 to both sides.

-35+35 = t^2-12t+35

0 = t^2 -12t+35

t^2-12t+35 = 0

We will factorize thee left side to find the values of t now. We need to find a pair of factors of 35 that by adding them we will get -12.

The pair of factors of 35 are -5 and -7 and by adding -5-7 we will get -12.

t^2-12t+35 =0

(t-5)(t-7) =0

So by using zero product property we will get

t-5 =0

t-5+5 = 0+5

t=5

Also t-7 =0

t-7+7 = 0+7

t=7

So we have got the rocket reaches at 560ft when t = 5 seconds and also when t = 7 seconds.

Now part b.

When the rocket completes its trajectory and hits the ground then the height or h = 0. So we will place h = 0 there in the equation.

h= -16t^2+192t

0= -16t^2 + 192 t

0 = -16(t^2-12t)

-16(t^2-12t) = 0

We will move -16 to the other side by dividing it to both sides.

-16(t^2-12t)/-16 = 0/-16

t^2-12t = 0

We will take out the common factor t from the left side. By taking out t we will get,

t(t-12) = 0

We will use zero product property now. By using that we will get,

t = 0

ans also t-12 = 0

t-12+12 = 0+12

t = 12

When the rocket completes its trajectory and hits the ground the time t can not be 0. When t =0, the rocket starts the trajectory.

So when the rocket completes its trajectory and hits the ground ,

then t = 12seconds.

So we have got the required answers.

6 0
3 years ago
Use the distributive property to simplify the following expression: -3(-x - 3y)
alexandr402 [8]

Step-by-step explanation:

-3(-x -3y) = 3( x +3y) = 3x+9y

7 0
3 years ago
Please help ASAP 15 POINTS BRAINIEST ANSWER!!
maxonik [38]
1) around 1300

2) around 30

3) a. about 500
    b. about 2600

Hope this helps you!
7 0
3 years ago
Convert Y = -7/2x-11 to Standard Form​
monitta

Answer:

7x + 2y = -22

Step-by-step explanation:

Standard form looks like Ax + By = C.

Start with Y = -7/2x-11.  Better to write that as Y = (-7/2)x - 11 to emphasize that the coefficient of x is the fraction -7/2.

Move the (-7/2)x term to the left:

(7/2)x + y = -11

Multiply all terms by 2 to eliminate the fractions:

7x + 2y = -22 (answer)

6 0
3 years ago
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