A, B and C are points on the line 2x+y=8

DCE is a straight line.
AB:BC=2:1
EC:DC=1:2

Work out the ratio Area of triangle AEC : Area of triangle BCD

Give your answer in its simplest form.

The number of aluminum cans that will be recycled in 16 days in scientific notation is 2.61 × 10⁹.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

On average 113,204 aluminum cans are recycled in a minute approximately.

Then the number of cans can be recycled in 16 days.

[tex]\rm Number \ of \ cans = 113,204 \times 24 \times 60 \times 16 \\\\Number \ of \ cans = 2.608 \times 10^9 \approx 2.61 \times 10^9[/tex]

More about the multiplication link is given below.

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Answer:

its not C just took test and it didnt tell me answer

Step-by-step explanation:

The equation y = 3x - 2 is a linear equation

Points (0,2), (1,1) and (2,4) are on the line y = 3x - 2

The rule is given as:

y = 3x - 2

Set x = 0

y = 3(0)- 2 = -2

Set x =1

y = 3(1)- 2 = 1

Set x = 2

y = 3(2)- 2 = 4

The above means that (0,2), (1,1) and (2,4) are on the line y = 3x - 2

See attachment for the graph of the line y = 3x - 2

Read more about linear equations at:

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Answer:

27

Step-by-step explanation:

So in the triangle, we've got the angle as 64°. And, there's only an opposite value and the hypotenuse value therefore the trig function is sin.

  According to SOHCAHTOA,

sin=opp/ hyp

sin 64°=x / 30

Cross- multiply, then

x= 30 × sin 64°

x= 26.963

x= 27.0(nearest tenth)

Answer: 2/21

Step-by-step explanation:

6/63= 2/21

Answer:

9330

Step-by-step explanation:

6x × 8y + 27x - 6y + 3 = 18 × 536 + 81 - 402 + 3 =

9330

Answer:

The answer is 9330

Hope it helps

✧GHOSTOFSPARTA✧

[tex]n=\dfrac 45 (m+7)\\\\\implies 5n = 4(m+7)\\\\\implies 5n = 4m+28\\\\\implies 4m = 5n-28\\\\\implies m = \dfrac{5n-28}{4}[/tex]

Step-by-step explanation:

8500× 8

8500

× 8

52000

so,

I will complete your answer

you can any doubt please ask to me

the interest rate per year is = 52000 answer

Answer:

x = 4 ± [tex]\sqrt{3}[/tex]

Step-by-step explanation:

x² - 8x + 16 = 3 ← the left side is a perfect square

(x - 4)² = 3 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{3}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{3}[/tex]

Answer:

pretty sure its y = 2x +1

Step-by-step explanation:

Here is how it is graphed:

The degree of a polynomial is categorized by its highest power of its leading variable.

Given the following polynomial functions, we are to classify them based on their degrees and the number of terms

For the polynomial function 5x^4 - 7x + 9

The degree is 4 being quartic and there are three terms in the expression

For the polynomial  2x3 + 3 < 3, the degree is 3 (cubic) with three terms in the expression.

For a Quintic quadnomial​, the degree of the polynomial is 5.

Learn more on polynomials here: https://brainly.com/question/4142886

Answer:

[tex] - 18 {x}^{2} {y}^{7} [/tex]

Step-by-step explanation:

[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]

Answer:

[tex]\text { The volume }=288 \mathrm{ft}^{3}[/tex]

Step-by-step explanation:

let V be the volume of the prism

    B The area of the base which is a triangle

    h is the height of the prism

______

Formula:

V = B × h

________

[tex]\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}[/tex]

h = 16

Now we calculate:

[tex]\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}[/tex]

Step-by-step explanation:

27° + c = 180° ( supplementary angle )

c = 180° - 27

c = 153°

Now,

b = c ( vertically opposite angle )

b = 153°

Answer:

[tex]\boxed{\dfrac{y}{x}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\dfrac{1}{x} }{\dfrac{1}{y} } \ \text{can also be written as} \ \dfrac{1}{x} \div \dfrac{1}{y}[/tex]

-------------------------------------------

[tex]\rightarrow \dfrac{1}{x} \div \dfrac{1}{y}[/tex]

Simplifying the expression using "a ÷ b = a x 1/b"

[tex]\rightarrow \dfrac{1}{x} \times y[/tex]

[tex]\rightarrow \boxed{\dfrac{y}{x}}[/tex]

Answer:

I don't understand the question

Answer:

Step-by-step explanation:

a)

The total amount coffee beans

b)

The total amount of market price

Answer:

a)   750a + 1200r = 1000000

b)   1065a + 876r = 1000000

Step-by-step explanation:

Define the variables:

Part (a)

Given:

If the plantation yields 1,000,000 kg of coffee:

⇒ 750a + 1200r = 1000000

Part (b)

Given:

If the price of Arabica beans is $1.42 per kg, and Arabica yields about 750 kg per hectare, then the price per hectare of Arabica coffee beans is:

⇒ $1.42 × 750 = $1065 per hectare

If the price of Robusta beans is $0.73 per kg, and Robusta yields about 1200 kg per hectare, then the price per hectare of Robusta coffee beans is:

⇒ $0.73 × 1200 = $876 per hectare

Therefore, if the plantation produces coffee worth $1,000,000:

⇒ 1065a + 876r = 1000000

~Denki Kaminari here~

Answer:

JGH

Step-by-step explanation:

it can be proven because there is the measurement of "P".

hope this helps :D

Answer:

124

Step-by-step explanation:

4*5*3

+

2*4*8

=124

Formula for volume of a rectangular prism is base x height.

The given quadratic equation 3x^2 – 24x + 10 can be written in vertex form that is f(x) = 3(x – 4)2 – 38.

A quadratic equation is an equation of degree 2 and the standard form of a quadratic equation [tex]ax^{2} +bx+c[/tex] where x is the variable and a,b, c are real numbers.

Following the steps already shown to transform the given function into the vertex form,

[tex]f(x) = 3(x^{2} - 8x + 16) + 10 - 3(16)\\f(x) = 3(x - 4)(x - 4) + 10 - 48\\f(x) = 3(x - 4)2 - 38[/tex]

Therefore, the function written in vertex form is f(x) = 3(x – 4)2 – 38.

Learn more about quadratic equations;

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Answer:

The answer is D!

Step-by-step explanation:

The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.

The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,

[tex]n=\dfrac{15}{100}\times360,920\\n=54138[/tex]

The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,

[tex]C=54138\times68\\C=3681384[/tex]

Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

Learn more about the percentage here;

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Answer:

[tex]7y=-5x-11[/tex]

Step-by-step explanation:

Since it says the lines are parallel both of their gradients will be same.

so gradient of line 1 = [tex]y=\frac{14-5x}{7}[/tex] = [tex]y=\frac{14}{7}-\frac{5x}{7}[/tex]= [tex]-\frac{5}{7}[/tex]

so equation of line 2 = [tex]y-y_{1}=m(x-x_{1} )[/tex]

                                   = [tex]y-(-3)_{}=\frac{-5}{7} (x-(-2)_{} )[/tex]

                                   = [tex]y +3=-\frac{5}{7}x+\frac{10}{7}[/tex]

                                   = [tex]y =-\frac{5x+10}{7}-3[/tex]

                                   = [tex]7y=-5x-11[/tex]

Step-by-step explanation:

basically a line equation typically looks like

y = ax + b

with a being the slope, and b bent the y-intercept (y value when x = 0).

5x + 7y = 14

7y = -5x + 14

y = -5/7 x + 14/7 = -5/7 x + 2

so, wie know the slope of the original line : -5/7 .

any line parallel to it must have the same slope.

our desired line looks like

y = -5/7 x + b

to get b we use the provided point (-2, -3).

-3 = -5/7 × -2 + b = 10/7 + b

-21/7 = 10/7 + b

-31/7 = b

and the full equation is

y = -5/7 x - 31/7

7y = -5x - 31

5x + 7y = -31

Answer:

V=100.5

Step-by-step explanation:

hopes this helps

ANSWER:

e. 4 and 2

f. 1 and 3

g. 5 and 6

h. 7 and 8

Ok done. Thank to me >:3

Answer:688

Step-by-step explanation:600+(11x8)=x

x=total

600+88=x

x=688

To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .

hope it helps...!!!

Answer:

A

Step-by-step explanation:

[tex]\frac{4}{5} + \frac{2}{5} = \frac{6}{5} \\Simple make it improper, resulting in answer A[/tex]

Hope this helps!

Answer:

(-2, -36)

Step-by-step explanation:

This is written in Standard Form

[tex]f(x)=5x^{2} +20x-16[/tex]

[tex]ax^{2} +bx+c[/tex]

Convert to vertex form.

[tex]f(x)=a(x-h)^{2}+k[/tex]

[tex]f(x)=5(x+2)^{2}-36[/tex]