Maximize −4x + 5y + 70 subject to the constraints:

2x + y ≤ 8
x + 3y ≥ 5
x + y ≤ 6
x ≥ 0,
y ≥ 0

a. Fix any constraints, as needed, and then convert the linear programming problem into a system of linear equations.
b. Give a fully labeled initial tableau, and circle the pivot element.

Answer:

2x + x + 63 = 180 to find x.

m<1 = 78 degrees

m<2 = 102 degrees

Step-by-step explanation:

Combine like terms: 3x + 63 = 180

Subtraction: 3x = 117

Division: 3x/3 = 117/3

Final Answer: x = 39

m<1 = 2(39) = 78 degrees

m<2 = (39 + 63) = 102 degrees

Check work: 102 + 78 = 180

(180 is the measure of a straight line such as the one represented here)

uhhh...p=3.4 is already simplified.

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hope it helps???

Answer:

6/6

Step-by-step explanation:

Answer: slope = (6,6)

Step-by-step explanation:

Answer:

a F

Step-by-step explanation:

Normally when converting to scientific notation, I would count how many digits I have to move the decimal dot to get it in between the number, in this case, 36.

If you start shifting the decimal dot to the right and count one every time you shift one digit and go all the way to between 3 and 6, you would count to 5. Since you are shifting to the right, the power of the 10 should be negative. Thus, the answer should be 3.6 × 10[tex]^{-5}[/tex] which is F.

Answer:

option A F is the answer

3.6 x 10^-5

Step-by-step explanation:

i have a tip for you,

if the number is smaller starting with 0.000....

then the exponent will be a negative number

Answer:

2. 13

4. 18

6. 14

Step-by-step explanation:

2. (5 x 2/5) = 2

20/2=10

10+3 = 13

4. (6/2+8) = 11

2 x 11 = 22

22-4 = 18

6. (8-2/2) = 7

21/3 = 7

7 + 7 = 14

Answer:

13, 18, 14

Step-by-step explanation:

Answer:

is your answer

0.00483091

Step-by-step explanation:

Answer:

B : {2, 10, 13, 7, 9, 5, 15, 12, 7, 13, 11}

Step-by-step explanation:

Maximum = 15

Minimum = 4

so, the values of the data set must lies between [4,15]

B: (6,12,18,44,54)

I just did this and this was correct.

Answer:option B

Step-by-step explanation:i got it right trust me

Answer:

a=16,-2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for a by using this term to complete the square.

Answer:

Well, a is supposed to be an unknown number. And that unknown number is supposed to multiply by 8. Now A is suppose to equal 8.4.

Answer:

F. -5s = -47.5

Step-by-step explanation:

F. -5s = -47.5

s = -47.5 / -5

s =  9.5

This is the correct option

G. -3 + s = 12.5

s = 12.5 + 3

s = 15.5 (Incorrect option)

J. –1 + s = 10.5​

s = 10.5 + 1

s = 11.5 (Incorrect option)

Answer:

3:12

4:36

Step-by-step explanation:

( pls dont report me let me kno if it wrong and i will fix it

Answer:

4   5

8    10

24     30

Step-by-step explanation:

Answer:

The canister hold water = 14 litres

Step-by-step explanation:

Given - While 2/7 of a canister is full, it has 4 litre water in it.

To find - How many litres of water does the canister hold?

Proof -

Given that,

When is canister is [tex]\frac{2}{7}[/tex] full , Total water = 4 litre

⇒If the canister is full , Total water = 4×[tex]\frac{7}{2}[/tex] litre

                                                         = 2 × 7 = 14 litres

⇒The canister hold water = 14 litres

9514 1404 393

Answer:

  A.  40° and 40°

Step-by-step explanation:

The triangle cannot have two angles measuring 100°, so the remaining two angles must be equal to each other. This eliminates choices B and D.

The sum of angles in the triangle must be 180°. This eliminates choice C.

The two other angles must both be (180° -100°)/2 = 40°.

Answer:

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 5^{2} + 12^{2}[/tex]

[tex]c ^{2} = 25 + 144[/tex]

[tex]c^{2} = 169[/tex]

[tex]\sqrt{c^2} = \sqrt{169}[/tex]

[tex]c = 13[/tex]

Answer:

The area is 28 square inches.

Step-by-step explanation:

You need to use the Pyhtagorean Theorem for this one, to find the height.

3^2 + h^2 = 5^2

9 + h^2 = 25

h^2 = 25 - 9

h^2 = 16

h = 4

The Pythagorean Theorem is basically A squared + B squared is C squared, With C always being the hypotenuse, or longest side. A and B are the base and height. You can use either A or B for either base or height, but you must use C for the hypotenuse.

Brainliest would be appreciated :)

Answer:

I believe 25/ 6 is the answer

Step-by-step explanation:

Answer:

$20.00

Step-by-step explanation:

Answer:

20.00 trust me

Step-by-step explanation:

Answer:

x+y≤15

Step-by-step explanation:

We need to write an inequality that represents the sum of x and y is at most 15. At most in inequality is defined as less than or equal to i.e. ≤.

Sum of x and y means x+y

The inequality becomes,

x+y≤15

Hence, the correct option is (b).

The inequality which represents the sum of x and y is at most 15 is; Choice (b) x+y_<15

According to question;

In essence, the sum of x and y is either equal to or lesser than 15.

Therefore, the inequality is Choice B; x+y_<15

Read more;

https://brainly.com/question/23382973

Answer:

Step-by-step explanation:

I = PRT

PRT = I

R = I/PT

R = 3224/(8060)(5)

R= 8%

Answer: £188

Step-by-step explanation:

Given

The depth of the hole is 80 m

For the first meter, it is £30

After that, it is £2 per meter

after a meter, it is 79 m more

The total cost is C

[tex]\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188[/tex]

Answer: Letter B)

A=πr2

d=2r

A=1

4πd2=1

4·π·162≈201.06193

Step-by-step explanation:

Hope this Helps! : )

B

Your answer is B, your welcome.

Answer:

12 toppings

Step-by-step explanation:

5*9=45

540/45=12

The number of toppings in the ice cream cone are 9.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, there are 540 ways to make an ice cream sundae consisting of one flavor of ice cream, one topping, and one type of syrup.

Let the number of toppings be x.

So, 9×5×x=540

⇒ 45x=540

⇒ x=9

Therefore, the number of toppings in the ice cream cone are 9.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:3

Step-by-step explanation:

12/4=3, 9/3=3

hope it helps

Answer:

Height = 6 units

Step-by-step explanation:

Recall that the volume of a pyramid is defined as:

Volume = 1/3  Base x Height

Then, in our case we have:

140 = 1/3 (70) x Height

we multiply by 3 both sides to eliminate the fraction on the right:

420 = 70  Height

divide by 70 to isolate the Height completely:

420 / 70 = Height

Therefore, the height is:

Height = 6 units

9514 1404 393

Answer:

  282.74 units³

Step-by-step explanation:

Put the given dimensions in the volume formula and do the arithmetic.

  V = πr²h

  V = 3.14159(3²)(10) ≈ 282.74 . . . units³