in a bottle there are 370 liters of water. There are 46 small
glasses, which hold only 90 ml per glass. How many extra glasses
are required to transfer all the water from the bottle?​

Answer:

Area = x² + 8x + 7

Step-by-step explanation:

Area of a rectangle formula = L * W

Length (L) of the given figure = (x + 7)

Width (W) of the given figure = (x + 1)

Area = L * W

Area = (x + 7) * (x + 1)

=> x * x = x²

=> x * 1 = 1x or x

=> 7 * x = 7x

=> 7 * 1 = 7

Combining it all together;

Area = x² + 1x + 7x + 7

Combine the like terms:

Area = x² + 8x + 7

Hope this helps!

The area of the entire rectangle in the polynomial form will be x² + 8x + 7.

Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,

Area of the rectangle = L × W square units

The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,

A = (x + 7)(x + 1)

Simplify the equation, then we have

A = (x + 7)(x + 1)

A = x² + 7x + x + 7

A = x² + 8x + 7

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ2

Answer:

20

Step-by-step explanation:

5 and 4 have no common factors until they are multiplied by each other. So if you were to convert your existing measurements, you would do the following.

(3/4) x (5/5)

(2/5) x (4/4)

Giving you 15/20 and 8/20

Answer:

33.8

Step-by-step explanation:

Given that :

Initial Average miles per gallon = 30.9

Uniform value added to each data in the set = 2.9

The mean value of a dataset shifts by the uniform value added to each value in the dataset. This is always true whenever a uniform value is added to values across a dataset irrespective of the number of samples.

Hence

Initial mean. + uniform Value

30.9 + 2.9 = 33.8

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

Answer:

this is good looking nice photo but li can't give you answer of that sorry.

Step-by-step e this https://www.commonlit.org/en/students/student_lesson_activities

Answer:

40%

Step-by-step explanation:

Answer:

a. T² - T¹ = d ( A. P) -5

b. T²/T¹ = r (G. P) 3/4

Step-by-step explanation:

a. 15 - 20 = -5

b. 15/20 = 3/4

Answer:

This is an arithmetic sequence and the common difference is equal to -5.

Answer:

The rate of decreasing of the length is 0.25 cm/s.

Step-by-step explanation:

The surface area of the ice cube is:

[tex]A_{ice}=6x^{2}[/tex]

Where x is the side of the cube.

Let's take the derivative of A with respect to "t" to get the rate of change.

[tex]\frac{dA_{ice}}{dt}=12x\frac{dx}{dt}[/tex]

We know that dA/dt = 6 cm²/s and x is 2 cm, so we just need to solve it for dx/dt which is the rate change of the length.

[tex]6=12(2)\frac{dx}{dt}[/tex]

[tex]\frac{dx}{dt}=\frac{1}{4}\: cm/s[/tex]

Therefore, the rate of decreasing of the length is 0.25 cm/s.

I hope it helps you!

Answer: True

Step-by-step explanation:

The statement that a mixed number has a whole number part and a fractional part is true.

The mixed number is made up of a whole number, and a proper fraction. A mixed number simply means a number that is between any two whole numbers. Examples of mixed numbers are 4¾, 7½ etc.

Answer:

[tex]\frac{21}{25} -\frac{22}{25} i[/tex]

Step-by-step explanation:

We can start by writing the division as a fraction:

[tex]\frac{6-i}{4+3i}[/tex]

In order to rationalize the denominator, we need to multiply by the conjugate:

[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]15b - 6 - 3b + 10 \\ 15b - 3b - 6 + 10 \\ = 12b + 4[/tex]

12b + 4 is in the form nb + m, where,

So,

[tex] = n + m \\ = 12 + 4 \\ = 16[/tex]

✐ 16 is the correct answer.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

9514 1404 393

Answer:

  A(m) = 10000×1.10^m; 10% monthly interest

Step-by-step explanation:

If t is the time in years and m is the corresponding time in months, then we have ...

  m = 12t

  t = m/12

So, the balance is ...

  A(t) = 10000×3.138^t

  A(m) = 10000×3.138^(m/12) = 10000×(3.138^(1/12))^m

  A(m) = 10000×1.10^m

The monthly interest rate is 10%.

_____

The monthly growth factor 1.10 is 1 more than the monthly growth rate.

  growth rate = growth factor -1 = 1.10 -1 = 0.10 = 10%.

tan ( 37 ) = x / 12

x = 12 * tan( 37 )

Answer:

D. 264π units³

Step-by-step explanation:

1/3(πr²h)

1/3(π•6²•22)

1/3(π•36•22)

1/3(π•792)

264π

Answer:

y = -x-5

Step-by-step explanation:

slope of the line is =(-20+10) / (15-5) = -10/10 = -1

Now equation of line is y+10=(-1)(x-5)

i.e. y+10= -x +5

i.e y = -x-5

Answer:

y = -x - 5.

Step-by-step explanation:

The slope of the line is (-20-(-10) /(15-5)

= -10/10 = -1.

Now use the point slope form of a straight line:

y - y1 = m(x - x1)   where m = the slope and (x1, y1) is a point on the line.

So we have:

y - (-10) = -1(x - 5)

y + 10 = -x + 5

y = -x + 5 - 10

y = -x - 5.

Answer:

-37

Step-by-step explanation:

-37/100 is rational.

Answer:

-37/100

Step-by-step explanation:

Answer:

y = 1/3x + 4 1/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]6y = - 2x + 12 \\ 3y = - x + 6 \\ y = - \frac{1}{3} x + 2[/tex]

Answer:

C) 2/3

Step-by-step explanation:

The 2 represents the two Jerry picked out and the 3 represents the total amount of marbles.

Hope this helped :)

Answer:

A.   1/3

Step-by-step explanation:

Chance of red on one marble

2/3

Chance of red on second marble

1/2

Chance both red

2/3 * 1/2 = 1/3

Answer:

because either x-6=0 or x+1=0

x-6=0

x=0+6

x=6     OR,

x+1=0

x=0-1

x=-1

Step-by-step explanation:

Answer:

(4.5, 0.3125)

Step-by-step explanation:

given that

The mean is 4.5 inches

the standard deviation is 1.25 inches

and, the sample of 16 rabbits is selected

we need to find out the approximate distribution

so,

= (4.5, 1.25 ÷√16)

= (4.5, 0.3125)

hence, the same is to be considered

Answer:

X < 120

Step-by-step explanation:

.....................

Answer:

option D

Step-by-step explanation:

X should be less than or equal to $120.00

Answer:

total amount donated when aaron walks n miles = $2 + $3(n-1)

Step-by-step explanation:

Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.

Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.

total amount sponsor pays = base donations + (additional miles walked after first mile x amount paid)

when Aaron walks 8 miles

additional miles = 8 - 1 = 7

23 = 2 + 7x

23 - 2 = 7x

x = 3

additional amount paid is $3

total amount donated when aaron walks n miles = $2 + $3(n-1)

Answer:

c = 41 ft

Step-by-step explanation:

To solve this problem, we can use the pythagorean theorem, which is defined by the formula [tex]a^2+b^2=c^2[/tex]. We are given both the lengths of the legs, so all we need to do is to plug them both in and solve for c:

[tex]9^2+40^2 = c^2\\c^2 = 81 + 1600\\c^2 = 1681\\c = 41[/tex]

This is the first option.

Answer:

Part A = A

Part B - 308

Answer:

x < 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

x - 13 < -11

Step 2: Solve for x

Here we see that any value x smaller than 2 would work as a solution.

Answer:

REVENGE

Step-by-step explanation:

Answer: 200

Step-by-step explanation:

You see that from Monday to Tuesday they traveled 150 miles. By Wednesday it goes up 25. 150+25 = 175. By Thursday it goes up 25 more miles. 175+25=200.

Answer:

False

Step-by-step explanation:

an obtuse triangle maybe isosceles or scalene

Step-by-step explanation:

3x + y

3(1.5)+0.5

=5

!!!!!!!!!!

Answer:

5

Step-by-step explanation:

3x + y = ?

3 (1.5) + 1/2 = ?

4.5                         First let's convert 4.5 into a fraction

4.5 = [tex]\frac{9}{2}[/tex]                    Then convert it has a mixed number

[tex]4\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] = 5