If AB is parallel to DE, then CD is:

Answer:

It is 9n - 7p + 5q

Step-by-step explanation:

Perimeter formular:

[tex]perimeter = (side + side + side)[/tex]

substitute:

[tex]p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\ [/tex]

group like terms together:

[tex] = (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q[/tex]

a (i) The number of standard size is 288 eggs

a (ii) The number of medium size is 1,476 eggs

a (iii) The number of large size is 36 eggs

b (i) The expected profit made from selling the standard size is Gh¢43.2

b (ii) The expected profit made from selling the medium size is Gh¢516.6

b (iii) The expected profit made from selling the large size is Gh¢16.2

The given parameters:

the mean of the distribution, m = 0.06 kg

standard deviation (std) of the distribution, d = 0.009 kg

number of the samples, n = 1800 eggs

(i) Find the position of "less than 0.052 kg (standard size)":

(the standard size is 1 standard deviation below the mean)

(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":

(the medium size is between 1 std below the mean and 2 std above the mean)

(iii) Find the position of "Greater than 0.075 kg (large size)":

Check: 288 eggs + 1476 eggs + 36 eggs = 1,800 eggs

(b) the cost of production of an egg = Gh¢0.45

the selling price of the standard size = Gh¢0.60

the selling price of the medium size = Gh¢0.80

the selling price of the large size = Gh¢0.95

(i) The expected profit made from selling the standard size:

Profit = total revenue - cost of production

Profit = 288(0.6) - 288(0.45) = Gh¢43.2

(ii) The expected profit made from selling the medium size:

Profit = total revenue - cost of production

Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6

(iii) The expected profit made from selling the large size:

Profit = total revenue - cost of production

Profit = 36(0.9) - 36(0.45) = Gh¢16.2

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9514 1404 393

Answer:

  (-3 1/2, 1 1/4)

Step-by-step explanation:

For some point P, we want ...

  (P -A)/(B -A) = 3/4

  4P -4A = 3B -3A

  4P = 3B +A

  P = (3B +A)/4 = (3(-3, 3) +(-5, -4))/4 = (-9-5, 9-4)/4 = (-14, 5)/4

  P = (-7/2, 5/4) = (-3 1/2, 1 1/4) . . . . the desired point

Answer:

x = -0.5

y = 2

Step-by-step explanation:

(2(-0.5)+3(2), 4) = (5, 2(2))

(-1 + 6, 4) = (5, 4)

(5, 4) = (5, 4)

Answer:

243

Step-by-step explanation:

1 /3 x=81

Step 1: Multiply both sides by 3.

3*( 1 /3 x)=(3)*(81)

x=243

The value of x for the expression (1/3)x = 81 is 243.

An algebraic expression is consists of variables, numbers with various mathematical operations.

The given expression is,

(1/3)x = 81

To find the value of x,

Solve the expression,

(1/3)x = 81

x = 81 x 3

x = 243

The required value of x is 243.

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Answer:

Angle ABD = 60

Step-by-step explanation:

Angle ABD = angle ABC + angle CBD

We are given that angle ABC = 25 and angle CBD = 35

So angle ABD = 25 + 35 = 60

Answer:

60

Step-by-step explanation:

to find the length of the entire angle, you will have to add both seperated sides to find it.

<ABC = 25

<CBD = 35

25 + 35 = 60

So, <ABD = 60

Hope this helped.

Answer:

(0, 0)

Step-by-step explanation:

Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0).

Answer:

The correct choice is option a.  (2x+5)(2x−5)

Answer:

Option a. (2x+5)(2x-5)

Step-by-step explanation:

4x2 - 25

Furthermore, this is the difference of squares formula we will use to factor 4x^2-25:

a2 - b2 = (a + b) • (a − b)

As you can see, our problem does not look like the left side of the formula, so first we have to convert our problem to match the left side like so:

4x2 - 25 = (2x)2 - 52

Now that it matches, we can simply plug in 2x for a and 5 for b into the formula to get the factors of 4x^2-25:

(2x + 5) • (2x − 5)

________________________________

I know this is urgent but still I gave you the explanation so that whenever you're confused with questions like that then these steps can help you.

Answer:

[tex]2 {b}^{2} - 5b - 63[/tex]

Step-by-step explanation:

[tex](b - 7) \times (2b + 9)[/tex]

[tex]b \times 2b + 9b - 7 \times 2b - 7 \times 9[/tex]

[tex]2 {b}^{2} + 9b - 14b - 63[/tex]

[tex]2 {b}^{2} - 5b - 63[/tex]

Answer:

I = $360

Step-by-step explanation:

Calculate the interest I using

I = PRN

with P = 1500, R = 3% = [tex]\frac{3}{100}[/tex] = 0.03 , N = 8 , then

I = $1500 × 0.03 × 8 = $360

hope it's helpful

THANK YOU

The correct answer is letter C. 75. 36m³ :)

Here's the Solution:

HOPE THIS HELPS. GOODLUCK:)

Answer:

A

Step-by-step explanation:

We know that it is A because the two smaller angles are being added, and we know the sum is 90 degrees. The only equation that satisfies both of these is A.

Answer:

A

Step-by-step explanation:

because it is a right angled

Answer: D. n > -4

Step-by-step explanation:

Given

-3n < 12

Divide both sides by -3. REMEMBER to change the [>,<] signs when multiplying or dividing a negative term

-3n / -3 > 12 / -3

n > -4

Hope this helps!! :)

Please let me know if you have any questions

Hey there! I'm happy to help!

Inequalities are solved like normal equations with a few extra rules.

So, we could simply divide both sides by -3 to get our answer, but n<-4 would actually be incorrect. With inequalities, dividing by a negative number means you have to flip the inequality sign. This is because you turn the other side negative so you need to adjust the inequality sign to match it.

So, our final answer will actually be n>-4.

Have a wonderful day and keep on learning! :D

Answer:

-1/3

Step-by-step explanation:

this is the best answer

9514 1404 393

Answer:

  m = (5x -6)/(43y -4)

Step-by-step explanation:

Subtract 4m+6 to separate m-terms from other terms.

  5x +4m -(4m +6) = 43my +6 -(4m +6)

  5x -6 = 43my -4m

  5x -6 = m(43y -4) . . . . factor out m

 (5x -6)/(43y -4) = m . . . . divide by the coefficient of m

Answer:

M=11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

To find the midpoint ( or middle) we take the average of the endpoints

(A+B)/2 = (0+22)/2 = 22/2 = 11

Answer:

The number is 5

Step-by-step explanation:

A number is multiplied by 8 = 8x

8x + 2

8x + 2 = 42         Subtract 2 from both sides

    - 2      -2

8x = 40                Divide by 8

x = 40/8

x = 5

Hi

to solve you must transcrive every word in math terms correctly.

so let's first give a name to our mysterious number. As you know, in math we generally call unknown by letter. " X"

so let's now play the detective.

what do we know on " X" ?

we add 3 to X so we have : X+3

then we multiply by 5. so. ( X+3) *5 .

if we do that we have twice X , so 2X

so ( X+3) * 5 = 2 X

now that we have translatted our data in math term, let's unmask. " X"

( X+3) *5 = 2X

5*X +3*5 = 2X

5X +15 = 2X

5X-2X = -15

3X = -15

X = -15/3

X = -5

So is " -5" is our guy.

let's check it out to be sure .

-5 +3 = -2

-2*5 = -10

-10 is twice -5. so -5 is the correct answer.

Ps : some operation are commonly implied. if you do not. know how I could write some line in the calculus, dont hesitate to ask in comments.

There is no mysteries in math everything is done according to rules and can be explained. So don't hesitate !

Answer:

A

Step-by-step explanation:

You are given that x - 3 = 8

It's an equation. The first thing you do is add or subtract when you are learning how to handle equations. This is a level 1 equation. That means that the solution is just to add or subtract something.

In this case, x has 3 taken away from it. So you have to get x by  itself. The way to do that is to add 3. Then the -3 on the left disappears.

x - 3 + 3 = 8+3

x = 11

The answer is A

Answer:

don't know actually but I can elaborate the solution

Step-by-step explanation:

x-3=8

x=8+3

Find the distance between A and B, AB,

[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]

Next, find the distance between B and C, BC,

[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]

The equation is,

[tex]10=2\sqrt{(t-3)^2+1}[/tex]

[tex]25=(t-3)^2+1[/tex]

[tex]t^2-3t+10=25[/tex]

[tex]t^2-3t-15=0[/tex]

Use quadratic formula to get possible values of t,

[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]

[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]

Hope this helps :)

Answer:

a = 9

Step-by-step explanation:

7a = 63

Divide 7 on both sides,

=> 7a/7 = 63/7

=> a = 9

Answer:

-49

Step-by-step explanation:

Substitute the a for -5

2(-5)+6(-5)-9

Multiply:

-10+-30-9

Add:

-40-9

Subtract (Add negatives):

-49

Hi there!  

»»————-　★　————-««

I believe your answer is:  

-14

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Assuming that the expression is: } a^2 + 6a -9[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating...}}\\\\a^2+6a - 9\\-----------\\(-5)^2 + 6(-5) - 9\\\\\rightarrow (-5)^2 = 25\\\\\rightarrow 6 * -5 = -30\\\\25 - 30 - 9\\\\\rightarrow \boxed{-14}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

1 5/16

Step-by-step explanation:

(-1/4 - 1/2) ÷ (-4/7)

Parentheses first

Get a common denominator

(-1/4 - 1/2 *2/2)

(-1/4 - 2/4)

-3/4

Replace in the equation

(-3/4 ) ÷ (-4/7)

Copy dot flip

-3/4 * -7/4

21/16

1 5/16

[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]

[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]

Answer:

0

Step-by-step explanation:

7-7=2x-5x+3x

0=2x-5x+3x

Answer:

1/12

Step-by-step explanation:

Answer:

The choose D) -12

Step-by-step explanation:

[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]

I hope I helped you^_^