please hepl please i want help

Answer:

[tex]\frac{140}{3}, \frac{140}{3}, \frac{140}{3}[/tex]

Step-by-step explanation:

Let the numbers be [tex]x, y\ and\ z.[/tex]

Such that:

[tex]x + y + z = 140[/tex]

Make z the subject

[tex]z = 140 -x - y[/tex]

For their product to be maximum, we have:

[tex]f(x,y,z) = xyz[/tex]

Substitute [tex]z = 140 -x - y[/tex] in [tex]f(x,y,z) = xyz[/tex]

[tex]f(x,y) = xy(140 - x - y)[/tex]

Open bracket

[tex]f(x,y) = 140xy - x^2y - xy^2[/tex]

Differentiate w.r.t x and y

[tex]f_x=140y - 2xy - y^2[/tex]

[tex]f_y=140x - x^2 - 2xy[/tex]

Since the products are maximum, then [tex]f_x = f_y = 0[/tex]

For [tex]f_x=140y - 2xy - y^2[/tex]

[tex]140y - 2xy - y^2 = 0[/tex]

Factorize:

[tex]y(140 - 2x - y) = 0[/tex]

Split

[tex]y = 0\ or\ 140 - 2x - y = 0[/tex]

Make y the subject

[tex]y = 0\ or\ y = 140 - 2x[/tex]

For [tex]f_y=140x - x^2 - 2xy[/tex]

[tex]140x - x^2 - 2xy = 0[/tex]

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

Substitute y = 0

[tex]140x - x^2 -2x*0 = 0[/tex]

[tex]140x - x^2 = 0[/tex]

Factorize

[tex]x(140 - x)= 0[/tex]

[tex]x = 0\ or\ 140-x = 0[/tex]

[tex]x = 0\ or\ x = 140[/tex]

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

Substitute [tex]y = 140 - 2x[/tex]

[tex]140x - x^2 - 2xy = 0[/tex]

[tex]140x - x^2 - 2x(140 - 2x) = 0[/tex]

[tex]140x - x^2 - 280x + 4x^2 = 0[/tex]

Re-arrange

[tex]4x^2 -x^2 +140x - 280x = 0[/tex]

[tex]3x^2 -140x = 0[/tex]

Factor x out

[tex]x(3x - 140) = 0[/tex]

Divide through by x

[tex]3x - 140 = 0[/tex]

[tex]3x = 140[/tex]

[tex]x = \frac{140}{3}[/tex]

Recall that: [tex]y = 140 - 2x[/tex]

[tex]y = 140 - 2 * \frac{140}{3}[/tex]

[tex]y = 140 - \frac{280}{3}[/tex]

Take LCM

[tex]y = \frac{140*3-280}{3}[/tex]

[tex]y = \frac{140}{3}[/tex]

Recall that:

[tex]z = 140 -x - y[/tex]

[tex]z = 140 - \frac{140}{3} - \frac{140}{3}[/tex]

Take LCM

[tex]z = \frac{3 * 140- 140 - 140}{3}[/tex]

[tex]z = \frac{140}{3}[/tex]

Hence, the numbers are:

[tex]\frac{140}{3}, \frac{140}{3}, \frac{140}{3}[/tex]

Answer:

dont know

Step-by-step explanation:

Answer:

I thinks it is 30 squared inches

The next term of the sequence is 14.

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Given that,

The term-to-term rule for a sequence is " Add 1 and then double"

First term = 2

Second term = 6

6 is got by adding 1 to 2 and then doubling it.

2 + 1 = 3

3 × 2 = 6

In the same way,

Third term = (6 + 1)2 = 7 × 2 = 14

Hence the next term of the sequence is 14.

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Answer:

Option 4: 12.7

Step-by-step explanation:

You can look at the diagram as two 45º45º90º triangles.

By the properties of a 45º45º90º triangle:

OW=WL=a

OL=a√2

a√2 = 18

a=18/√2a≈12.728

Answer:

Step-by-step explanation:

tto blurrry

Answer:

86 - 9 = 77

Step-by-step explanation:

look at the screen shot ya know

The equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola is (35 + a)²/a² - 8²/b² = 1 and (22+ a)²/a² - 4²/b² = 1

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the total height of the drum is 35 inches.

The diameter at the top of the drum = is 16 inches, and

The minimum diameter is 8 inches, occurring at a height of 22 inches.

The equation of the hyperbola be denoted as;

x²/a² - y²/b² = 1

From the question, with x and y coordinates representing height and radius respectively,

Then,

When  x = 35 + a, y is = 16/2 = 8 and

At x = 22+ a, y  is = 8/2 = 4

Thus,

(35 + a)²/a² - 8²/b² = 1

(22+ a)²/a² - 4²/b² = 1

By solving, we have, a = 128.95 and b = 14.75

Therefore a= 128.95 and b = 14.75

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Answer:

C The diameter of circle P is the same length as the radius of circle Q.

Step-by-step explanation:

Answer:

3⁷

Step-by-step explanation:

The powers of exponents add when exponents are multiplied.

So, when we multiply 3⁴ × 3³, we have to add the powers.

3⁴ × 3³ = 3⁷ (the last choice)

Answer:

3^7 i think

Step-by-step explanation:

9514 1404 393

Answer:

  62°

Step-by-step explanation:

Angles A and H are alternate exterior angles, so are congruent.

  ∠H = 62°

Answer:

3 + 3x + 15y

Step-by-step explanation:

You may find it easier to write these two expressions into column form:

  (-4+5y-2x)

+ (5x+7+10y)

Combine like terms (do this for constants, x and y terms):

  (-4+5y-2x)

+ (5x+7+10y)

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

 3 + 3x + 15y

Answer:

d

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

Answer:

0.1714285714285714

Step-by-step explanation:

Answer:

Step-by-step explanation:

The height of given hexagonal prism is 7x³+4x²-3x+5.

Given that, the volume of a hexagonal prism is [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] and the area of the base is 5x² - 6.

A hexagonal prism is a three-dimensional solid shape with 8 faces that including hexagon bases.

Volume of a hexagonal prism = Area of a base × Height.

Here, [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] = 5x² - 6 × Height

Height = [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] ÷ 5x² - 6

5x² - 6| [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] | 7x³+4x²-3x+5

            [tex]35x^5[/tex]           (+) 42x³

          ____________________

                       [tex]20x^4[/tex] - 15x³+x²+18x-30

                    (-)[tex]20x^4[/tex]   (+)24x²

           ____________________

                          - 15x³+25x²+18x-30

                        (+)15x³         (-)18x

                      ____________________

                                     25x²-30

                                  (-)25x²(+)30

                           ___________________

                                           0

So, height = 7x³+4x²-3x+5

Therefore, the height of given hexagonal prism is 7x³+4x²-3x+5.

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Answer: 2

Step-by-step explanation:

Answer:

6 kilograms of apples

Step-by-step explanation:

8.5-2.5=6

Hope I helped

Answer:

try this 20+10 =       20x10 =       20-10=

Step-by-step explanation:

add the first one, than times the other one, after subtract the last one.

9s is correct

hope this helps

Answer:

Amanda will catch up Ben after 0.6 hours.

Step-by-step explanation:

Amanda begins jogging along the same path at 7 mi/h.

This means that Amanda's position, after t hours, is given by:

[tex]A(t) = 7t[/tex]

Ben starts walking along a path at 2 mi/h.

Amanda leaves after one and a half hour, which means that Ben will be at position 2*1.5 = 3. So Ben's position after t hours is given by:

[tex]B(t) = 3 + 2t[/tex]

How long (in hours) will it be before Amanda catches up to Ben?

This will happen when:

[tex]A(t) = B(t)[/tex]

So

[tex]7t = 3 + 2t[/tex]

[tex]5t = 3[/tex]

[tex]t = \frac{3}{5}[/tex]

[tex]t = 0.6[/tex]

Amanda will catch up Ben after 0.6 hours.

It would take Amanda 0.6 hours or 6/10 hours to catch up with Ben.

This question comes from a topic in mathematics called rates and it's used to compare two values with each other and how one value affects the other value.

Let s represent the distance Amanda travels until she meet Ben.

We can set a timer on our phone when she leaves in order to track the time taken.

Let t represent the time taken.

We can come up with two equations from these scenario

Substitute equation (ii) into equation (i)

[tex]7t -3 =2t[/tex]

collect like terms

[tex]7t-2t=3\\5t=3\\t=3/5\\t=0.6[/tex]

From the above, we can see it took her 0.6 hours to catch up with Ben.

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Answer:

Step-by-step explanation:

Not sure

Answer:

45 degrees

Step-by-step explanation:

they are both the same half so 90 divided by 2 is 45

Answer: 20%

Step-by-step explanation: Basically you find the difference which is twelve, and put it over the original amount which is 60. You get 1/5 which in percent form is 20%

The percent of decrease from $60 to $48 is 20%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Let n be the percent of decrease.

60 - 48 = 12

60n = 12

n = 12/60

n = 0.2

n = 20%

Therefore, the percent in decrease is 20%.

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Answer: i think the answer is (5x - 4)(2x +3) if it id wrong i am sorry ok

don't forget to drop a heart

Answer:

the answer is (2x + 3)(5x - 4)

Step-by-step explanation:

Answer:

I believe the correct answer is option B. 7 x 10

Step-by-step explanation:

Hope this helps if not I'm very sorry ^^"

Answer:

7*8

17*8=(10*8)+(7*8)

136=80+56

136=136

Answer:

113.10

Step-by-step explanation:

Answer:

how to make sugar cookies :)

Step-by-step explanation:

2 ¾ cups all-purpose flour

1 teaspoon baking soda

½ teaspoon baking powder

1 cup butter, softened

1 ½ cups white sugar

1 egg

1 teaspoon vanilla extract

Answer:

Step-by-step explanation:

Which Method Should Be Used to Solve a Quadratic Equation? Quadratic equations are of the form ax2 + bx + c = 0 where a, b and c are real numbers, a ≠ 0. Quadratic equations have two solutions, but it is possible that one solution may repeat. happy to help

Answer:

1/16

Step-by-step explanation:

Hope This Helps :)

Plz Mark Brainliest!!!

Answer:

Just do 1/4 divided by 4

Step-by-step explanation:

a/b ÷ c/d= a/b × d/c  

remember 4 can be re-written as 4/1

and lastly

a/b × b/c= ad/bc

Answer:

8

Step-by-step explanation:

R is another way of saying multiply 10 (Or any number) by something to get 80 (Or the sum)

10 x 8 = 80

80=10r

r = 8

Answer:

r= 80/10

r= 8

hope it helps you

Step-by-step explanation:

you may Mark me as brainliest:)

Answer:

Step-by-step explanation:

go to this website Cymath.com