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3 years ago

Solve the equation below. SHOW ALL WORK!!! −3(y + 2) = 21

Mathematics

1 answer:

Maurinko [17]3 years ago

6 0

Answer:

y=-9

Step-by-step explanation:

-3(y+2)=21

1st Open parenthesis

-3y-6=21

+6 +6

-3y=27

/-3 /-3

y=-9

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What is the ratio of 1400kg and 0.76kg

Goryan [66]

Answer:

35000:19

Step-by-step explanation:

→1400kg/0.76kg

→35000:19

8 0

2 years ago

Read 2 more answers

What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth

anyanavicka [17]

Answer:

$\dfrac{3}{2}$

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

$-\dfrac{3}{8}$

2nd fraction is negative one-fourth

i.e.

$-\dfrac{1}{4}$

We have to find the quotient when 1st fraction is divided by 2nd fraction.

<u>Definition</u> of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

$-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}$

$\div$ is converted to $\times$ and the 2nd fraction is reversed i.e.

if the fraction is $\frac{p}{q}$ it becomes $\frac{q}{p}$ and the sign $\div$ is changed to $\times$ .

Solving above:

$-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}$

So, the quotient is $\frac{3}{2}$ .

6 0

3 years ago

P L E A S E HELP FAST 30 POINTS

kramer

The answer to the question is b

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3 years ago

A farmer wants to build a rectangular pen and then divide it with two interior fences. The total area inside of the pen will be

irina [24]

Answer:

Dimensions of the pen:

x = 11 ft

y = 6 ft

Step-by-step explanation:

Let call "x" and "y" dimensions of the rectangular pen and x > y, so the interior fences will be equal to y.

The exterior length is 2*x + 2*y and its cost is (2*x + 2*y ) *20.40

The interior fences are 2*y and its cost is 2*y* 17

Total cost C = (2*x + 2*y ) *20.40 + 2*y* 17 (1)

Now area inside the pen is 66 ft² and it is equal to:

A = x*y ⇒ 66 = x*y ⇒ y = 66/x

Plugging that value in equation (1) will give C as a function of x

C(x) = [ 2*x + 2* (66/x) ]* 20.40 + 2* (66/x) * 17

C(x) = ( 2*x + 132/x ) 20.40 + 2244/x

C(x) = 40,80*x + 2692.8/x + 2244/x

C(x) = 40.80*x + 4936,8/x

Taking derivatives on both sides of the equation we get

C´(x) = 40.80 - 4936,8/x²

C´(x) = 0 ⇒ 40.80 - 4936,8/x² = 0 ⇒ 40.80 *x² = 4936,8

x² = 4936,8 / 40.80 ⇒ x² = 121 ⇒ x √121

x = 11 ft

And y = 66/x ⇒ y = 66/11 ⇒ y = 6 ft

3 0

4 years ago

a flomming tile has the shape of a parallelogram whose base is 24cm and height is 10 cm how many tiles are required to cove the

g100num [7]

Answer:

4 1/2 tiles are needed to cover this area

Step-by-step explanation:

Mathematically, the area of a parallelogram is the product of the base and the height

We have this as;

24 * 10 = 240 cm^2

So the area of a tile is this

The number of tiles that will cover the given area will be;

1080/240 = 4.5 tiles

4 0

3 years ago