A steel company sells 144 tons of steel every 3 years.

At this rate, what is the unit rate for the amount of steel sold every year. You can make a ratio table to help you think through this problem.

Step-by-step explanation:

[tex] \frac{1}{2} (11ft + 17ft) \times 12ft \\ \frac{1}{2} \times 28ft \times 12ft \\ divide \: 28 \: by \: 2 \\ 14ft \times 12ft = 168 {ft }^{2} \\ answer = 168 {ft}^{2} [/tex]

Answer:

10.2

Step-by-step explanation:

I stuck it into a calculator the exact number is ~10.295630141

The number of cans that can be recycled in 16 days, written in scientific notation is 2.6 x 10⁹.

The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5x 10¹².

Given to us

Average 113,204 aluminum cans are recycled in a minute.

Firstly, in order to find the number of cans that can be recycled in 16 days, we need to find the number of minutes in 16 days. we know that 1 day has 24 hours where each hour has 60 minutes. therefore,

Number of minutes in 16 days = 16 x 24 x 60

Number of minutes in 16 days = 23,040 minutes

As it is given that on an average 113,204 number of cans can be recycled in a minute, therefore,

Total number of can that can be recycled = 113,204 x 23,040

                                                                      = 2,608,220,160

                                                                       = 2.6 x 10⁹

Hence, the number of cans that can be recycled in 16 days, written in scientific notation is 2.6 x 10⁹.

Learn more about Scientific notation:

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[tex]3^{-4}=\dfrac{1}{3^4} =\dfrac{1}{81}[/tex]

Answer:

28 miles

Step-by-step explanation:

308/11 = 28 miles per gallon of gas

Answer:

[tex]a \times b \\ (4y + 12)6x \\ 24xy + 72x \\ = 24x(y + 3)[/tex]

A:

4 seconds per centimer:

30cms               15 cms

----------------       -------------

2 minutes           1 minute

1 minute= 60 seconds

15 cms                       1cm

-----------------     =     ----------------

60 seconds              4seconds

B: 15 cms per minute

30cms/2minutes

(divide by 2 to get speed for one minute)

15cm/1 minute

Answer:

Step-by-step explanation:

14 - 5 = 9

9 - 5 = 4

4 - 5 = - 1

................

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 5

Answer:

width = 50 cm

Step-by-step explanation:

The volume (V) of a rectangular box is calculated as

V = lwh ( l is length, w is width and h is height )

Since V is given in cm³ then dimensions must be in cm

l = 1 m = 100 cm , then

100 × w × 75 = 375000

7500w = 375000 ( divide both sides by 7500 )

w = 50

the width of the box is 50 cm

Answer:

x= - 8/3

Step-by-step explanation:

1- Multiply the monomials

2- Combine like terms

3- Rearrange variables to the left side of the equation

4- Divide both sides of the equation by the coefficient of the variable

5- Cross out the common factor

Answer:

D

Step-by-step explanation:

the odds are less than .24 so it must be 0.12

The domain of the function is the real number and the range of the function is (-∞, 6].

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The function f(x) = -x² - 4x + 2

The function can be written as

[tex]\rm f(x) = -x^2- 4x +2\\\\f(x) = -x^{2}- 4x - 4 + 4 +2 \\\\f(x) = -(x^{2} +4x +4) + 6\\\\f(x) = -(x+ 2)^2 + 6[/tex]

The domain is the real number and the range is (-∞, 6].

More about the function link is given below.

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Answer:

4 X 3= 12

6 X 3= 18

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Answer:

12

Step-by-step explanation:

View the question mark as x then cross multiply

18×4= 6×x

72= 6x

x is 12

Answer:

6 meters

Step-by-step explanation:

[tex]A=a^2+2a\sqrt{\frac{a^2}{4}+h^2} [/tex]is the formula that you use

h=vertical altitude and

a=side length of the base

[tex]85=5^2+(2*5)\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]85-25=10\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]\frac{60}{10}=\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]6=\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]36=\frac{25}{4}+h^2[/tex]

[tex]36-\frac{25}{4}=h^2[/tex]

[tex]36-6.25=h^2[/tex]

[tex]29.75=h^2[/tex]

Vertical altitude (h) and [tex]\frac{1}{2}a[/tex] and the slant height form a right triangle with the slant height being the hypotenuse

[tex]h^2+(2.5)^2=s^2 [/tex]where s=slant height

[tex]29.75+6.25=s^2[/tex]

[tex]36=s^2[/tex]

s=6 meters

Answer:

slant height = 6 meters

Step-by-step explanation:

surface area of pyramid: 2bs + b²

2*5*s + 5² = 85

10s = 85 - 25

10s = 60

s = 6

The slant height is 6 meters.

Answer:

x = 18

Step-by-step explanation:

So there is two ways, but I'm going with the way I remember

1/6 x = 3

1x/6 = 3 multiply by 1

x/6 = 3 then multiply by 6

x = 18

Answer:

1. 1/5  1/3  4/6

2. 3/5  3/4  7/8

3. 87 nickels

4. 150 minutes

5. 2

6.  3/4

Step-by-step explanation:

1.  least to greatest:  1/5  1/3  4/6

2.  least to greatest:  3/5  3/4  7/8

3. 1 nickel = 5 cents

So 485 ÷ 5 = 87 nickels

4. Total number of minutes = 50 x 2 = 150 minutes

5. A composite number is a whole number that can be made by multiplying other whole numbers.

3 x 3 = 9  ⇒  composite number

3 x 5 = 15  ⇒  composite number

3 x 7 = 21  ⇒  composite number

Therefore 2 is NOT a composite number (it is a prime number)

6. 6/8 = 3/4

Answer:

10 terms

Step-by-step explanation:

equate the sum formula to 55 and solve for n

[tex]\frac{1}{2}[/tex] n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )

n(n + 1) = 110 ← distribute parenthesis on left side

n² + n = 110 ( subtract 110 from both sides )

n² + n - 110 = 0 ← in standard form

Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)

the factors are + 11 and - 10 , since

11 × - 10 = - 110 and 11 - 10 = + 1 , then

(n + 11)(n - 10) = 0 ← in factored form

equate each factor to zero and solve for n

n + 11 = 0 ⇒ n = - 11

n - 10 = 0 ⇒ n = 10

However, n > 0 , then n = 10

number of terms which sum to 55 is 10

graph of the linear function y = 5 is attached below. which is true for all the values of x.

a function whose equation is of the form y = ax + b, where a and b are constants, a does not equal zero, and x is any real number, and whose graph is a straight line.

Given a linear function y = 5 here

The graph of that linear function will be a straight line that is attached below.

this function will be the same for all the values of x. since it is not dependent on the variable x

it will pass through points (0, 5),  (1, 5),  (-6, 5),  (5, 5),  (-9, 5),.... and so on.

therefore, Below is a graph of the linear function at y = 5. This holds true regardless of x's value.

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Answer:

It should look like the graphs above.

Hope this helps!

Answer:

2x² - 3x

Step-by-step explanation:

multiply the outside with the inside brackets

x × 2x = 2x²

x × (-3) = -3x

Answer:

x(2x-3)

Step-by-step explanation:

x(2x-3)

x times 2x equals 2x².

x times -3 is -3x.

2x²-3x.

The 12th term of the given geometric sequence is equal to -8,388,608.

Given the following sequence:

A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.

Mathematically, a geometric sequence is given by the expression:

[tex]a_n =a_1r^{n-1}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]a_{12} =2 \times -4^{12-1}\\\\a_{12} =2 \times -4^{11}\\\\a_{12} =2 \times -4194304[/tex]

12th term = -8,388,608.

Read more on geometric sequence here: brainly.com/question/12630565

Answer:

[tex]-26x^2+56x-15[/tex]

Step-by-step explanation:

[tex]3x(-2x + 7) - 5(x - 1)(4x - 3)[/tex]

Expand the brackets:

[tex]\implies -6x^2+21x-5(4x^2-7x+3)[/tex]

[tex]\implies -6x^2+21x-20x^2 +35x-15[/tex]

Collect like terms:

[tex]\implies -6x^2-20x^2+21x +35x-15[/tex]

Combine like terms:

[tex]\implies -26x^2+56x-15[/tex]

Answer:

Step-by-step explanation:

This is late reply. You can try searching online next time you need an answer in a hurry - most questions have been asked before: like here https://brainly.com/question/11412899

3x(-2x + 7) - 5(x - 1)(4x - 3)

= (-6x^2 + 21x) - 5(4x^2- 7x +3)

= -6x^2 + 21x - 20x^2 + 35x - 15

= -26x^2 + 56x -15

Answer:

having a sticky surface

Step-by-step explanation:

Just took the tests

Answer:

184cm^2

Step-by-step explanation:

(5+5+6) * 10 = 160

6*4 = 24

160+24=184

there are 2 triangles so I am assuming they have the same dimensions

Answer:

[tex]x-11[/tex]

Step-by-step explanation:

Let the number be x

Then we have,

x-11

Answer:

10 A. Quadrent 2

10 B. Quadrent 3

Step-by-step explanation:

Image