16. Albert was asked to find the quotient
for 63 3. He drew an array and used
the Distributive Property to find the
quotient, Show Albert's work.

Answer:

1875

Step-by-step explanation:

3x5 = 15

15x 5 = 75

75x 5 = 375

375 x 5 = 1875

1875 because at the end of the next week, which basically turns 8 weeks into 4, and the number of contaminants multiply by 5 each other week.

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

Step-by-step explanation:

area of circle = pi×r2

r = 12

pi×12×12 = 144pi

therefore,

area = 144pi

I

The system of equations in the context of this problem is given as follows:

The solution is given as follows:

h = 35, c = 55.

The variables used for the system of equations are given as follows:

Considering the Monday's earnings, the equation is given as follows:

5h + 3c = 340.

Considering the Wednesday's earnings, the equation is given as follows:

2h + 6c = 400.

Hence the system is:

Simplifying the second equation by 2, we have that:

h + 3c = 200.

Subtracting the first equation by the second, we can obtain the value of h as follows:

4h = 140

h = 140/4

h = 35.

Hence the value of c is given as follows:

c = (200 - 35)/3

c = 55.

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

Answer:

(x+5)(x-4)(x-3)

Step-by-step explanation:

Divide (e+5) into e³-2e²-23e+60 using polynomial long division (picture attached below). Since it divides in evenly, we can see it is a factor.

So we can say e³-2e²-23e+60 = (e+5)(e²-7e+12)

To complete the factorisation, factorise e²-7e+12.

Note that (x+a)(x+b)=x²+(a+b)x+ab.  So find the multiples or 12 which can be added or subtracted to get -7: -4 and -3.

e²-7e+12=(x-4)(x-3)

So e³-2e²-23e+60 = (x+5)(x-4)(x-3)

Answer:

False

Step-by-step explanation:

The macrostate s of two six-sided dice can be defined as the sum of the top faces of the dice.

The macrostate of a system refers to a comprehensive description of the system in terms of its properties and variables that are used to characterize it. In the case of two six-sided dice, the macrostate is described by the sum of the numbers on the top faces of the two dice, which determines the total score or outcome. This macrostate, represented by the variable "s", is a measurable quantity that summarizes the state of the system, providing information about the distribution of the outcomes over all possible configurations of the two dice.

It's important to note that a macrostate does not specify the exact configuration of the system, but rather provides a probabilistic description of it. In other words, the macrostate "s" only describes the sum of the two dice and does not specify which number is on each die. In thermodynamics, macrostates are used to characterize the thermodynamic properties of a system, such as its temperature, pressure, and entropy. The study of macrostates and their distributions helps us to understand the behavior of complex systems and make predictions about their future behavior.

Learn more about thermodynamics here:

https://brainly.com/question/13059309

#SPJ4

Answer:

a) -2+6

b) -2 + (-6)

Step-by-step explanation:

do like previous man

Answer:

-2+6

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

steps shown below!

Answer:

18

Step-by-step explanation:

ad-bc

0(0) - 9(-2)

0 - -18

0 + 18

18

Answer:

30

Step-by-step explanation:

90 - 60 = 30

Answer: 0.48387

Step-by-step explanation:

Solution set = {9,11,13,15,17,19,21,23,25,27,29,31,33,35,37}

Sample Set = {8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38}

out of the 31 numbers, 15 are odd

15/31 = 0.48387 probability.

Answer:

Emigrate means to leave one's country to live in another. Immigrate is to come into another country to live permanently. Migrate is to move, like birds in the winter. The choice between emigrate, immigrate, and migrate depends on the sentence's point of view.

Answer:

125.25

Step-by-step explanation:

5 cube =125

1/2=0.5

0.5 squared =0.25

125+0.25=125.25

Answer:

jjwwbdjcjxbskkvcbnsoskccbizoanabzoxna njznznb CA. jA c ziebbjnc nakcb

Answer:

Because it is a regular polygon, the sum of all exterior angles is equal to 360 degrees (one revolution). If each side has an exterior angle of 40 degrees, we simply divide 360 by 40 to get 9.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

-5+8=3

Answer:

d. 3

Step-by-step explanation:

x - 8 = -5

x = -5 + 8

x = 3

The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

Here, we have,

given that,

the expression is:

4x^2 - 4

now, we have to simplify this.

we know that ,

The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.

It is one of the algebraic identities.

It is used to factorize the binomials of squares.

The a^2 - b^2 formula is given as:

a^2 - b^2 = (a - b) (a + b).

so, we have,

4x^2 - 4

= (2x)^2 - 2^2

= (2x -2 ) (2x+2)

Hence, The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

To learn more on Equation:

brainly.com/question/10413253

#SPJ1

Step-by-step explanation:

Can you tell us how many word search magazines there are? Thank you,

Answer:

She should multiply by 10

The length of the segment is 2.4 centimeters.

The scale is 2.4 cm :24 mm.

How to change mm to cm?

One millimeter, or one-thousandth of a meter, is equal to one mm. One centimeter, also known as one hundredth of a meter, is equal to one centimeter.

Accordingly, 1 cm 10 mm. Divide the number of mm by 10 to get the number of cm when converting mm to cm.

Given that length of the segment is 24mm. now we know that,1 mm is equal to 0.1 cm,

So,

\(10 \: mm=1 \: cm \\ or, \: 1 \: mm = \frac{1}{10} \: cm \\ or, 24 \: mm × ( \frac{1}{10} ) = 2.4 \: cm.\)

The scale is 2.4 cm :24 mm.

know more about length visit:

https://brainly.com/question/30100801

#SPJ1

Answer:

Step-by-step explanation:

Given the expression;

19/258 = 21/x

We are to find the unknown value x;

Cross multiply;

19 * x = 258 * 21

19x = 5418

Divide both sides by 19;

19x/19 = 5418/19

x = 285.15

Hence the unknown value is 285.15

Answer:

Step-by-step explanation:

let number be X

so,

X + 40 = 450

X = 450 - 40

X = 410

FOLLOW ME

Hi there!

It would be 410!

1.Subtract 450 by 40 / subtract both terms:

\(450-40=410\)

Check:

\(410+40=450=450-40=410\)

Answer: 6.12315 × 105

Step-by-step explanation: No worry's just here for the fun of it

Answer:

\(\Large \boxed{\mathrm{\bold{B.} } \ x=7, \ y = 4\sqrt{2} }\)

Step-by-step explanation:

We can split the shape into a right triangle and a rectangle.

tan θ = opp/adj

Let c be the missing base for the right triangle.

tan45 = 4/c

c = 4/tan45

c = 4

x = 3 + 4

x = 7

sin θ = opp/hyp

sin45 = 4/y

y = 4/sin45

y = \(4\sqrt{2}\)

Answer:

D=140

E=140

F=80

G=140

H=140

I=80

L=100

M=110

N=80

P=70

Step-by-step explanation:

The sum of the interior angles of a hexagon is 720.

7x+7x+7x+7x+4x+4x=720

36x=720

x=20

D=140

E=140

F=80

G=140

H=140

I=80

The sum of the interior of a quadrilateral is 360.

2x+20+3x-10+2x+2x-10=360

9x=360

x=40

L=100

M=110

N=80

P=70

Answer:

48 meals

Step-by-step explanation:

36/(3/4) = (36 *4)/3 = 48

The least value is 11.

\($$\begin{aligned}&\mathrm{S}=\frac{1}{1-(1 / 2)}=2 \\&\mathrm{~S}_{\mathrm{n}}=\frac{1-(1 / 2)^{\mathrm{n}}}{1-(1 / 2)}=2-\frac{1}{2^{\mathrm{n}-1}}\end{aligned}$$\)

\($$\mathrm{S}-\mathrm{S}_{\mathrm{n}}=\frac{1}{2^{\mathrm{n}-1}} < \frac{1}{1000} \text { or } 2^{\mathrm{n}-1} \geq 1000$$\)

Now \($2^{10}=32 \times 32=1024$\)

\($$\therefore n-1 \geq 10 \text { or } n \geq 11$$\)

Hence the least value is 11.

If you have a positive term in your quadratic equation, it will also have a minimum value. This minimum value can be found by graphing the function or solving one of the two equations. If you have the equation y = a\(x^2\) + bx + c, you may use the equation min = c - \(b^2\)/4a to determine the minimum value.

A quadratic equation is a second-order polynomial equation in a single variable x a\(x^2\)+bx+c=0. with a ≠ 0 . The fundamental theorem of algebra assures that it has at least one solution because it is a second-order polynomial equation.

To learn more about quadratic equation visit , https://brainly.com/question/17177510

#SPJ9

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

From the question, we have the following parameters that can be used in our computation:

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

Read more about expression at

brainly.com/question/4344214

#SPJ1

Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number

Answer:

The exact volume of the cylinder is 72π cubic centimeters, or approximately 226.19 cubic centimeters to two decimal places.

Step-by-step explanation:

The volume of a cylinder can be calculated using the formula:

\(\boxed{V = \pi r^2 h}\)

where:

Given values:

Substitute the given values into the formula and solve for V:

\(\begin{aligned} \implies V&=\sf \pi \cdot 3^2 \cdot 8\\&=\sf \pi \cdot 9 \cdot 8\\&=\sf 72\pi \;cm^3\\&= \sf 226.19\; cm^3\;(2\;d.p.)\end{aligned}\)

Therefore, the volume of the cylinder is 72π cubic centimeters, or approximately 226.19 cubic centimeters to two decimal places.