The product of two consecutive integers is 110. find the integers?

Answers

Answer 1

Answer: Hello,

I shall not resoved an 2th degree for that:

10*11=110 (evident)

Answer 2

Answer:

When 10 and 11 (or -10 and -11) are multiplied, they equal 110.

You can find the answer by solving the following equation:
x(x+1)=110
x^2+x-110=0
(x-10)(x+11)=0

Therefore 10*11 and -10*-11 can be the possible answers to your question.

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A cylindrical glass of soda has a mass of 700g. The glass itself has a mass of 80g. If the glass has a radius of 4cm and a height of 8cm, what is the density of the soda?

Answers

The density of the soda is 3.6 g/cm³

What is density?

Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.

Given that, a cylindrical glass of soda has a mass of 700g. The glass itself has a mass of 80g, the glass has a radius of 4 cm and a height of 8 cm,

We are asked to find the density of the soda,

Density = mass / volume

Volume = 2π×radius×height

Therefore,

Density = 700/2π×4×8 [we will not add the mass of glass because we need to find the density of soda only]

Density = 700/194.68

= 3.59

= 3.6

Hence, the density of the soda is 3.6 g/cm³

Learn more about density, click;

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Write a formula that will help them decide how much each friend will have to pay.Let's let
w = price per mile
x = number of miles traveled
y = number of friends in the cab
z = cost for each friend

Answers

Okay so since we have all the variables, we can go ahead and make our formula. So our equation would look like z = (w/x) divided by y . This is because z would be the sum of the x miles divided by the cost of each mile (w). And then we would divide what we got in the parenthesis by y (friends).

The special at a local pizza place says you can choose any 3 toppings from a list of 5. How many possible combinations are there?

Answers

The number of combinations of the 5 different toppings taken 3 at a time is:
$5C3=(5!)/(3!2!)=10\ possible\ combinations$

will there are 3 toppings and 5 all together and you add 3 & 5 = 8 so that makes 3/8 i think !

Solve each equation by taking square roots

10p^2 +20=1490

Answers

$10p^2 +20=1490$

$10p^2=1490-20$ $Subtract \ 20 \ from \ both \ sides$

$10p^2=1470$

$p^2= (1470)/(10)$ $Divide \ both \ sides \ by \ 10$

$p^2=147$

$p=+ √(147)$ $Take \ the \ square \ root \ of \ both \ sides$

$p=+7 √(3)$

10p^2+20=1490
1 $\sqrt{10p^(2) =1470} 10p=38.34 p=3.834$ 0p^2=1470

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

Answer:

Step-by-step explanation:

The height, width, and length of the box will be (x)(8 - 2x)(10 - 2x). The volume of the box will be 4x3 - 36x2 + 80x = 0 Use a graphing calculator to graph the polynomial. Use the maximum feature to see the greatest volume the box can have. Be sure to set your window accordingly and think about what constraints are on the box. The maximum volume for the box is 52 in3. The cut would be 1.5 inches long. This is where the graph crosses the x-axis.

Which quadratic function has one real solution?A.0 = 2(x + 7)(x – 5)
B.0 = (x – 3)(x – 3)
C.0 = 2.4(x – 2)(x + 2)
D.0 = (x – 2)(x – 1)

Answers

1 real solution means that it has a multiplicity aka
if r is the solution
0=(x-r)^m

theone that fits that is B, the solution is x=3

B is answer

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