A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards

Answer:

8x+19/(x+8)(x-1)= 5/(x+8) +  3/(x-1)

Step-by-step explanation:

Step one:

given the expression

8x+19/(x+8)(x-1)

in partial fraction the expression is

8x+19/(x+8)(x-1)= A/(x+8) +  B/(x-1)

8x+19/(x+8)(x-1)= A(x-1)+B(x+8)/(x+8)(x-1)

equating the numerator we have

8x+19=A(x-1)+B(x+8)-------------------------1

to find A put x=-8 in eqn 1

8(-8)+19=A(-8-1)+B(-8+8)

-64+19=-9A

-45=-9A

A=45/9

A=5

to find B put x=1 in eqn 1

8(1)+19=A(1-1)+B(1+8)

8+19=9B

27=9B

B=27/9

B=3

The partial fraction decomposition

8x+19/(x+8)(x-1)= 5/(x+8) +  3/(x-1)

Answer:

Option-B

Step-by-step explanation:

edge

Answer:

ANSWER:  each van carries 18 people and each bus can                   transport 59 people.

Step-by-step explanation:

Let x = number of vans

      y = number of buses

Then x + 6y = 372

      4x + 12y = 780

Multiply the first equation by -4:  -4x - 24y = -1488

                                                  4x + 12y = 780

Adding the equations, we get -12y = -708

                                                y = 59

Substitute for y in the equation x + 6y = 372:

  x + 6(59) = 372

  x + 354 = 372

            x = 18

Answer:

[tex]x=4+\sqrt{2}/2, x=x=4-\sqrt{2}/2[/tex]

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

-6x-14=-8x

-6x+8x=14

2x=14

x=7

yes it. is right man ansls gqbevih wo

Answer:

A = 3E

A + E = 56

3E + E = 56

4E = 56

E = 14

Elga is 14 years old.

Step-by-step explanation:

Could you please mark me as the brainliest answer

Answer:

Step-by-step explanation:

17.33

Answer:

Step-by-step explanation:

I'm answering this silly thing only because it seems to have an expected answer

B: is about the only answer you cannot give.

C and D are Both open ended at 15 which doesn't allow you to say that the first acceptable answer is 16

The only answer you can pick is A. The amount starts at 15 and you keep going until you hit 70. That doesn't mean you have to stop. It just means that it represents what he desires to make.

Answer:

61

Step-by-step explanation:

Rectangle area=

[tex]60 \times 40 = 2400yd ^{2} [/tex]

The area at the right

[tex](\pi \times 20^{2} ) \div 2 = 628yd^{2}[/tex]

Total area = 2400+628=3028yd^2

Now you have to find the quantity of grass seed needed (1pound for every 50yd square)

3028/50=60.56 (which is almost 61)

Answer:

1 2/7 or 9/7

Step-by-step explanation:

First subtract 13/4-1/7=11/14

Then take the answer we subtract so we can add it 11/14+1/2= 1 2/7

Answer:

True

Step-by-step explanation:

The communative property states that the order in addition and multiplication dosen't matter.

9514 1404 393

Answer:

  3 1/56 cups

Step-by-step explanation:

Apparently, you're to assume that the amount of food is supposed to be proportional to weight. If x is the amount of food for the 26-pound dog, then ...

  cups/weight = (1 5/8)/14 = x/26

Multiplying by 26 we have ...

  x = (26)(13/8)/14 = 338/112 . . . cups

  x = 3 1/56 cups ≈ 3.02 cups

About 3.02 cups of the same type of food should be fed to a 26-pound dog.

Answer:(2 * 3, 1 * 3)

Step-by-step explanation:

Answer:

The answer is 2.

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

Domain: [tex]-5\leq x\leq 4[/tex]

Range: [tex]-5\leq y\leq 5\\[/tex]

Function: yes

Step-by-step explanation:

Domain is all possible x values. In this function, domain would be: [tex]-5\leq x\leq 4[/tex]

Range is all possible y values. In this function, range would be: [tex]-5\leq y\leq 5[/tex]

This is a function because it passes the vertical line test.

Answer:

2

4/.5 = 2

Therefore, your answer is 2, or A. Hope this helped!

Answer:

the answer is B) 8

Step-by-step explanation:

hope this helped sorry if it didn't and if it's wrong sorry for that also.

Answer:

x(8xsquare+6x-20)

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

[tex]x(8x^{2} +6x-20)\\x(2x+4)(4x-5)[/tex]

Answer:

First one

Step-by-step explanation:

Supplementary angles basically means which angles added together equals 180 degrees, 180 degrees is also a straight line.

So the answer would be the first one because both the angles added together is 180.

Step-by-step explanation:

3x+6+9x-12+6x-3=180

15x-9=180

x-9=12

x=21

Answer:

can you add the dropdown menu? hard to answer without the dropdown

Step-by-step explanation:

Answer:

hope this helps!

Step-by-step explanation:

I can't answer the first question because you need to draw lines from one number to another and I'm not sure how to type that. The answer to the second question is choice 1.

Answer:

1)  draw a colored in dot right above 0 with an arrow connected to it that points to the left of the graph

2) draw a white uncolored in dot right above 12 connected to an arrow that points to the left of the graph

6) draw a colored in dot right above -4 with an arrow connected to it that points to the right of the graph

7) draw a colored in dot right above 2 with an arrow connected to it that points to the left of the graph

For question 1 on the second image, the answer is Option 1. We would color in the dot right above 36 because the child an be 36 inches and still ride the ride, and we would leave the dot right above 48 uncolored because in order to ride the ride the child must be less than 48 inches they cannot be 48 inches or taller if they want to ride the ride.

Step-by-step explanation:

The inequality for the first question can be simplified to p [tex]\leq \\[/tex] 0, so just draw a colored in dot right above 0 with an arrow connected to it that points to the left of the graph (indicating that all values of p are less than or equal to 0)

The inequality for the second equation can be simplified to g < 12, so just draw a white uncolored in dot right above 12 connected to an arrow that points to the left of the graph (indicating that all values of g are less than 12)

The inequality for the problem that says 6), can be simplified to -4 [tex]\leq \\[/tex] c, so just draw a colored in dot right above -4 with an arrow connected to it that points to the right of the graph (indicating that all values of c are equal to or greater than -4)

The inequality for the problem that says 7), can be simplified to j [tex]\geq[/tex] 2, so just draw a colored in dot right above 2 with an arrow connected to it that points to the left of the graph (indicating that all values of j are equal to or greater than 2)

Step-by-step explanation:

i am 90% sure this is correct

Answer:

Step-by-step explanation:

Do multiplication first since it comes before the division in this equation

1/5 · 1/2 = 1/10

Plug this value back into the equation

1/2 - 1/10 + 2/5 ÷ 7/10

Divide 2/5 by 7/10

4/7

Plug this value back into the equation

1/2 - 1/10 + 4/7

Subtract 1/10 from 1/2

2/5

Plug this value back into the equation

2/5 + 4/7

Add.

34/35

Hope this helps :)

Please consider Brainliest :)

Answer:

A. Angles 1 and 4

D. Angles 2 and 3

Step-by-step explanation:

Alternate interior angles are a pair of angles which alternate each other lying on either side of the transversal but within the two parallel lines that is cut across by the transversal.

In the diagram above, the following are alternate interior angles:

<1 and <4,

<2 and <3

Answer:

A and D

Step-by-step explanation:

Answer:

347 + 645 = 992

Step-by-step explanation:

 347

+645

 922

Answer:4.32...i think

Step-by-step explanation:

Answer:

12.32-8= 4.32 OR 12 x 32 - 8 = 376

Step-by-step explanation:

 12.32

-  8.00

= 4.32

OR

  32

x 12

= 376

Just depends if the dot was a multiplication dot or decimal.

Hope it helps!!

Answer:

Step-by-step explanation:

m<2 = 5.

because if you subtract 5x from 4x and that equals -1x. then you add 20 to -25 that equals -5. then you divided -5 by the -1x and you get 5.

Answer:

A) Maximum for dosage is 0.11

B) maximum blood pressure = 1.625

Step-by-step explanation:

We are given the function;

B(x) = 395x² - 2370x³

To find maximum, we will find the derivative of the function and equate to zero.

B'(x) = 790x - 7110x²

Equating to zero gives;

790x - 7110x² = 0

790x = 7110x²

Dividing both sides by x gives;

790 = 7110x

x = 790/7110

x = 0.11

This falls in between the range of 0 <= x <= 0.16 given to us.

Therefore x = 0.11 is a maximum

Plugging this into B(x) = 395x² - 2370x³ gives;

B(0.11) = 395(0.11)² - 2370(0.11)³

B(0.11) = 1.625

Thus;

Maximum dosage is 0.11

maximum blood pressure = 1.625