Bob purchased a case of soft drinks (24 cans per case) for $30, what is the unit rate per can?

Answer: 6π

Step-by-step explanation: First find circumference. radius is 4 so 4x2=8. 8π is circumference. You need to find 3/4 of circumference os 3/4x8π=6π

Answer:

1= 123°

2=123°

3= 57°

Step-by-step explanation:

Answer:

FG = 9.3 feet

Step-by-step explanation:

cos 52° = 5.7/FG

0.6157 = 5.7/FG

FG = 9.26 feet

Answer:

divided by 100

Step-by-step explanation:

8,000 / 100 = 8 in the tens, or 80

Answer:

x=4

Step-by-step explanation:

Answer:

2 + i and + √5

Step-by-step explanation:

Since P(x) is a quartic equation, it has 4 roots.

Since 2 - i and -√5 are two of its roots, then its conjugate pairs of 2 + i and + √5 are its other two roots.

So, its other two roots are 2 + i and + √5

Answer:

84%

Step-by-step explanation:

21 correct + 4 wrong = 25 questions in total

[tex]\frac{21}{25}[/tex] x 4 = [tex]\frac{84}{100}[/tex]

[tex]\frac{84}{100}[/tex] = 0.84

0.84 = 84%

Answer:

The answer is B because add a zero to make it equivalent

Answer:

I think question should change like this.

(5a-4b)(5a+4b)

(5a)(5a+4b) + (-4b)(5a+4b)

25a² + 20ab - 20ab -16b²

25a²- 16 b²

Step-by-step explanation:

Answer:

Hello hello

Step-by-step explanation:

Answer:

a square does not have a radius

Step-by-step explanation:

but you can find the area by squaring one side

Answer:

The length is 30 cubic yards.

Step-by-step explanation:

To find volume you use equation V=LxWxH

Since we already know the height, width, and volume we can input them into the equation.

18,720=L x 24 x 26

As you can see, the length is still unknown.

To figure it out though, you can multiply the height and width of the prism,

24 x 26 = 624

And then divide the volume, 18,720 by it.

18,720/624 = 30

Thus, your length is 30 cubic yards.

Answer:

20 kids

Step-by-step explanation:

so that totals to 11 (parents and kids)

55/11=5

4x5=20

20 kids

Answer:

3(-3+1)=

3(-2)=

-6

Answer is - 6

Answer:

option B is correct

Step-by-step explanation:

Hope it helps you

Answer:

20 ft

Step-by-step explanation:

Keep in mind that, both ratios are the same, let the length of the shadow be x, then you can make an equation that 30/ 40 = 15 / x, then 30x = 15 * 40 = 600, so x = 20.

Answer:

250-400

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 10 numbers representing the selling prices of paintings.

List the numbers in the ascending order:

Median of the lower half is:

Median of the upper half is:

The IQR is the difference between the upper and lower medians:

Answer:

[tex]v = \frac{5.4mT}{6T - 37}[/tex]

[tex]v = -1.701*10^8[/tex]

Step-by-step explanation:

Given

[tex]T = \frac{37v}{6v-5.4m}[/tex]

Solving (a): Make v the subject

[tex]T = \frac{37v}{6v-5.4m}[/tex]

Cross Multiply:

[tex](6v-5.4m)T = 37v[/tex]

Open bracket

[tex]6vT - 5.4mT = 37v[/tex]

Collect Like terms

[tex]6vT - 37v= 5.4mT[/tex]

Factorize:

[tex](6T - 37)v= 5.4mT[/tex]

Make v the subject

[tex]v = \frac{5.4mT}{6T - 37}[/tex]

Solving (b):

[tex]T = 4.5[/tex]

[tex]m = 7 * 10^7[/tex]

So, the expression becomes:

[tex]v = \frac{5.4mT}{6T - 37}[/tex]

[tex]v = \frac{5.4*7*10^7*4.5}{6*4.5 - 37}[/tex]

[tex]v = \frac{170.1*10^7}{27 - 37}[/tex]

[tex]v = \frac{170.1*10^7}{-10}[/tex]

[tex]v = -17.01*10^7[/tex]

[tex]v = -1.701*10*10^7[/tex]

[tex]v = -1.701*10^8[/tex]

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

the answer might be 125,000 yards maybe

Answer:

12.6ft³

Step-by-step explanation:

Hey There!

So the first thing we need to do is find the formula for volume of a cone

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

r = radius

h = hypotenuse

Now all we have to do is plug in the hypotenuse and the radius

[tex]V=\pi 2^{2} \frac{3}{3}[/tex]

2²=4

[tex]\frac{3}{3} =1[/tex]

4xπ=12.5663706144

And now we just round to the nearest tenth

so we can conclude that the volume of the cone is 12.6ft³

Answer:

A = 40.0 (3 sig. fig)

C = 40

c = 15

Step-by-step explanation:

Using sin law,

sinA/15 = sin100/23

A = 40.0 (3 sig. fig)

Using angle sum of triange,

C = 180 - 40.0 - 100 = 40

Since angleA = angleC, by side equal opp angles, c = 15

Answer:

Step-by-step explanation:

C = 147 ft.  The relevant formula is C = 2(pi)r, and here C = 147 ft = 2(pi)r.

The relevant area formula is A = (pi)r^2.  If we solve the above formula for r we get

         147 ft

  r = ------------    and so  r^2 (needed to calculate the area) is

           2pi

          147^2 ft^2

r^2 = ------------------

                4(pi)

                                      147^2 ft^2

and so the area is  A = ---------------- = 7203/pi

                                           3 pi

                                                                    C                           C^2

Alternative method:  C = 2pi*r so r = -------------- and r^2 = -------------

                                                                 2 pi                           4pi^2

                                                                               C^2             C^2

then the area of the circle is A = pi(r^2) or pi*-------------- = ---------------

                                                                             4pi^2               4pi

                                                                        (147 ft)^2

and in this case the area of the circle is A = --------------

                                                                              4 pi

or A = 1720 ft^2

Answer:

a = 1, b = 2, and c = 3

Step-by-step explanation:

5 ÷ 8 ÷ 3 ÷ 8

5 ÷ 8 × 8 ÷ 3

The 8 cancels out.

5 ÷ 3 or 5/3

5/3 = 1 and 2/3

Look at the image for another method.

Answer:

Step-by-step explanation:

Use the triangle inequality which states that for any triangle, the sum of the lengths of any two sides must be greater than to the length of the remaining side.

Combine the above three inequalities:

Answer:

[tex]x > 14[/tex]

Step-by-step explanation:

By triangle inequality;

[tex]2x + 1 + x + 16 > 2x + 31 \\ 2x + x - 2x > 31 -17 \\ x > 14[/tex]

The possible values of x is any number above 14, that is, x=[ 15, 16, 17, 18, .....}, if x is integer.