Find the surface area of the sphere shown below.

Answer:

[tex]8b+3.25p\leq 80[/tex]

Step-by-step explanation:

Each bag of popcorn costs $8

Each pretzel costs $3.25.

Skylar has a total of $80 to spend on both items. This means that she can either spend less than or exactly $80.

i.e Total Cost [tex]\leq \$80[/tex]

Skylar's Total cost on popcorns and pretzels =8b+3.25p

Therefore:

[tex]8b+3.25p\leq 80[/tex]

Therefore, an inequality that would represent the possible values for the number of bags of popcorn purchased, b, and the number of pretzels purchased, p will be:

[tex]8b+3.25p\leq 80[/tex]

Answer:

[tex]\frac{5(x-2)}{x+1}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{5(x-2)}{x+1\\}[/tex]

Step-by-step explanation: pls mark me brainliest if you think i am. i need it to level up!!

Answer:

20,701 feet

Step-by-step explanation:    

29,028-8,327= 20,701

Step 1) Find the total circumference

C = pi x d

d = r x 2

d = 5 x 2 = 10

C = pi x 10 = 10pi

Step 2) Find 1/4 of the circumference

10pi / 4 = 2.5pi = 7.85

Step 3) Add the two radii sides to the 1/4 circumference

7.85 + 5 + 5 = 17.85

C = 17.85 feet

Hope this helps! :)

Answer:

17.85ft

Step-by-step explanation:

the quarter circle is 90 degrees, so use this to find the length of the arc (the curve), by doing:

[tex]\frac{90}{360}[/tex]x2x3.14x5

this will give you the answer of 7.85 ft

once you got the length of the arc, add 10 (the two radiuses), to get 17.85ft

hope this helps

Answer:

£442.78

Step-by-step explanation:

There are 100 pence in 1 Pound (£)

We want to determine the value of 44277·6 pence in pounds.

Expressing it as a ratio

100:1 = 44277·6:x

[tex]\dfrac{100}{1}=\dfrac{44277.6}{y} \\$Cross multiply\\100y=44277.6\\Divide both sides by 100\\\dfrac{100y}{100}=\dfrac{44277.6}{100}\\y=442.776\\y=\£442.78$ (to the nearest penny)[/tex]

44277·6 pence=£442.78 (to the nearest penny)

Answer:

The amount in pounds  ≈ £ 442.78

Step-by-step explanation:

The total cost of the electricity in the school in January was 44277.6 pence. The cost of the electricity bill in pounds can be represented below.

Let us find the number of pence that makes a pounds (£).

1 pence sterling = £ 0.01

44277.6 pence  = ?

cross multiply

44277.6 ×  0.01

44277.6 ×  0.01 = 442.776 pounds

The amount in pounds  = £442.776

Rounding to the nearest penny ≈ £442.78

Answer: 1.16

Step-by-step explanation:

So we know [tex]\frac{3}{6} + \frac{3}{6}[/tex] will equal 1.

Now, let's take apart [tex]\frac{1}{6}[/tex] and divide it...

1 ÷ 6 = 0.16

1 + 0.16 = 1.16

[tex]\frac{3}{6} + \frac{3}{6} + \frac{1}{6} = 1.16[/tex]

I hope this helps!

Answer:

Step-by-step explanation:

Question 6)

sin Y= m

sin Y = m/1

So, hypotenuse is 1

Since sine is opposite over hypotenuse

So XZ= m and YZ = 1

Similarly, cos Y = k

cos Y = k/1

So adjacent side of angle Y is k

So XY = k

cos z - sin z = [tex]\frac{XZ }{YZ } - \frac{XY}{YZ}[/tex]

cos z - sin z = [tex]\frac{m }{1 } - \frac{k}{1}[/tex]

cos z - sin z = m - k

Question 7)

the relationship between sine, cosine, and tangent.

tan(x) = sin(x)/cos(x) = (11/61)/(60/61)

tan(x) = 11/60

Question 8)

Start with where the shorter leg is. It must be opposite the smallest angle.

In a 30 - 60 - 90 degree triangle you have the hypotenuse to be twice as long as the shortest side. You have to read that a couple of times to make sure you understand it. 

That being said, if the shortest side is x, the hypotenuse will be 2x.

Since in this case the shortest side is 11, the hypotenuse will be 2*11 = 22

The answer is 22

The answer is 5 units

Step-by-step explanation:

Kachow

Step-by-step explanation:

3/8 = 15/40= 75/200

2/5 = 16/40 = 80/200

-> 4 rational numbers between 75/200 and 80/200 are 76/200, 77/200, 78/200, 79/200

Answer:

F(1) = 7

F(2) = 14 = 7 x 2^1

F(3) = 28 = 7 x 2^2

F(4) =56 = 7 x 2^3

...

F(10) = 7 x 2^9

Hope this helps!

:)

Answer:

the five is not is left in the diagram

Answer:

i think its 2nd , 3rd and last one but im not sure

Step-by-step explanation:

Answer:

$90

Step-by-step explanation:

3% $500= $15

$15 times 6yrs = $90

Answer:

97.03

Step-by-step explanation:

the other guy is wrong.

Answer:

take x=2.515834 and r=14.31386

Step-by-step explanation:

Let us call the the lenght of the side of the square as x. The total lenght of the wire is 100. Note that if we have a square of side x, it has a perimeter of 4x. That means, that we need a wire of length 4x to build a square of side x. Note that if we take a wire of length 4x, we have that the remainder is 100-4x. We will use this to form a circle. As for the square, since we are using the wire of length 100-4x to build a circle, it must happen that the perimeter of the circle is 100-4x.

Recall that the perimeter of a circle of radius r is [tex]2\pi r[/tex], so in this case , we have that [tex] 2\pi r = 100-4x[/tex] which implies that [tex]r =\frac{100-4x}{2\pi}[/tex].

Now, recall that the area of a square of side x is [tex]x^2[/tex]. Also, recall that the area of a circle of radius r is [tex]\pi r^2[/tex]. In our case, the area of the circle is given by

[tex] \pi r^2 = \pi (\frac{100-4x}{2\pi})^2[/tex]

Also, we are given that the sum of the areas of both figures is 650. That is

[tex] x^2 + \pi (\frac{100-4x}{2\pi})^2 = x^2+\frac{(100-4x)^2}{4\pi}=650[/tex]

By substracting 650 on both sides and multiplying by [tex]4\pi[/tex] this equation is equivalent to

[tex]4\pi x^2 + (100-4x)^2-650\cdot 4\pi =0[/tex]

if we expand [tex](100-4x)^2[/tex] and then group each term of x, x^2 we get :

[tex](4\pi+16)x^2-800x+100^2-650\cdot 4\pi =0[/tex]

Recall that given a cuadractic equation of the form [tex]ax^2+bx+c=0[/tex] the solution is given by

[tex] x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}[/tex]

In this case, the existence of a real solution is given by the expression [tex]b^2-4ac[/tex]. For it to have a real solution, it must happen that [tex]b^2-4ac\geq 0[/tex]

In this case, b=-800, c = 100^2-650\cdot 4\pi, a = 4\pi+16[/tex]

For this values, we get that [tex]b^2-4ac = 430681\geq 0[/tex], so the is a solution for our problem.

In this case,

[tex] x = \frac{-b - \sqrt[]{b^2-4ac}}{2a}= 2.515834[/tex]

and [tex] x = \frac{-b + \sqrt[]{b^2-4ac}}{2a}= 25.4891[/tex] are the two possible solutions for this problem. We can check that this values of x fulfill our restrictions. Note that if x=25.4891, by replacing in the value of r, we get that r=-0.3113853. Since r is the radius of the circle, it must be positive. Hence, x=25.4891 is discarted.For x=2.515834 we get a value of r=14.31386, so this is the answer

Answer:

x² + 27x + 180

Step-by-step explanation:

(12 + x)(15 +x) = 12*15 + 12x + 15x + x² = x² + 27x + 180

Answer:

I think it is A, I might be wrong.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Amount of halloween candy bought by Jack = 5pounds

Amount he gave trick = 3pounds

Amount jack ate = 10ounces

Before we can determine the amount of halloween candy that Jack has left, we need to convert the pounds to ounces in order to make the units consistent.

given 1pound = 16ounces

5pounds = 16* 5 ounces

5pounds = 80ounces

Also;

3pounds = 16*3 ounces

3pounds = 48ounces

Total amount of halloween used up by Jack = 48ounces + 10ounces

= 58ounces

Amount of ounces of candy left = Total amount of candy bought -amount used up

Amount of ounces of candy left = 80ounces - 58ounces

Amount of ounces of candy left = 22ounces

Answer:

Perimeter of square = [tex]12\sqrt{2}\,\,inches[/tex].

None of the given options is correct

Step-by-step explanation:

Given: Length of diagonal of the square = 6 inches

To find: perimeter of square

Solution:

Let x denotes side of square

Diagonal of square = [tex]\sqrt{2}x[/tex]

Also,  length of diagonal of the square = 6 inches

So,

[tex]x=\frac{6}{\sqrt{2}}\\=\frac{6}{\sqrt{2}}\left ( \frac{\sqrt{2}}{\sqrt{2}} \right )\\=3\sqrt{2}[/tex]

Perimeter refers to the distance around a two-dimensional shape.

Perimeter of square = 4×side

=[tex]4(3\sqrt{2})=12\sqrt{2}\,\,inches[/tex]

So, none of the given options is correct.

Answer:

x=-1      x=5

Step-by-step explanation:

f(x) =−3(x+1)(x−5)

0 = −3(x+1)(x−5)

Using the zero product property

x+1 = 0     x-5=0

x=-1      x=5

Step-by-step explanation:

4 + 3x -20 = 0

3x - 16 = 0

3x = 16

x = 16/3

Answer:

y=4

Step-by-step explanation:

4*4*4=64

[tex]4^{3}[/tex]=64

Answer:

y = 4

Step-by-step explanation:

y^3 = 64

Rewriting 64 as 4^3

y^3 = 4^3

When the powers are the same, the bases need to be the same

y = 4

Answer:

Step-by-step explanation:

I hope it helps

Answer:

an = 1.2 + (n - 1) 1.5

Step-by-step explanation: opt A on edg

Answer:

A) 2a + 4c = 38.00

B) 3a + 3c = 40.50

We multiply A) by -1.5

A) -3a -6c = -57 then we add B)

B) 3a + 3c = 40.50

-3c = -16.50

c = 5.50

a = 8.00

Step-by-step explanation:

Answer:

118 degrees; 30 degrees

Step-by-step explanation:

2x+14=1/2((6+14x)-58)

2x+14=1/2(-52+14x)

2x+14=-26+7x

40=5x

x=8

6+14(8)=6+112=118

2(8)+14=16+14=30

Answer:

Step-by-step explanation:

Amount he will pay in the next five years = Principal + Interest

Given Principal =  $35,000

Simple Interest = PRT/100

R is the rate = 3%

T is the time in years = 5years

SI = 35,000 * 3 * 5/100

SI =  $5,250

Amount =  $35,000  +  $5,250

Amount =  $40,250

Ruben will have to pay $40,250 after 5years

Answer:

Reuben would pay $40574.59 in 5 years time

Step-by-step explanation:

The present value of the car, P = $35,000

Rate per year, R = 3% = 0.03 (Note that the rate is given per year and not for the whole 5 years, this means that the rate cannot be used over a period of 5 years)

Amount = P + RP = P (1 + R) = P ( 1+0.03)

Amount = 1.03P

Total time = 5 yrs

After year 1:

A = 1.03 * 35000 = $36,050

After year 2:

A = 1.03 * 36050 = $37,131.5

After year 3:

A = 1.03 * 37131.5 = $38,245.445

After year 4:

A = 1.03 * 38,245.445 = $39,392.808

After year 5:

A = 1.03 * 39,392.808 = $40574.59

Answer:

150 degrees

Step-by-step explanation:

Let's start off by looking at what we are working with in this specific problem:

We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)

Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.

Now that we've got all of that out of the way, let's set up a simple algebraic equation:

angle L + angle M = 180

We also know that angle L is 30 degrees so let's add it into the equation we have just created:

30 + angle M = 180

We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.

180 - 30 = angle M

Now we are left with:

150 degrees = angle M

Answer:

irrational

Step-by-step explanation:

√2 is irrational

Answer:

It would be and irrational number!