JICIC Senlerce Keisha has 7 gallons of lemonade. She is filling cups in the cafeteria for a school event. There are 10 tables in the cafeteria. Each table has a 2 quart pitcher and 6 one cup glasses. Does Keisha have enough lemonade for all the tables? If not, how much more does she need? (1 gallon = 16 cups, 1 quart = 4 cups)​

Answer:

512.45

Step-by-step explanation:

312+199.95=512.45

Answer:

[tex]\displaystyle m=0.8[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (4, 1.2)

Point (10, 6)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

[tex]slope = \frac{4}{5} [/tex]

Step-by-step explanation:

slope formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

use the two coordinates given in the graph to find the values

i) (10, 6)

x1 = 10

y1 = 6

ii) (4, 1.2)

x2 = 4

y2 = 1.2

substitute the values into the formula

[tex] \frac{1.2 - 6}{4 - 10} [/tex]

[tex] \frac{ - 4.8}{ - 6} [/tex]

[tex] \frac{4}{5} [/tex]

Given:

The image of point A under a 90° rotation about the origin is A'(10, -4).

To find:

The coordinates of point A.

Solution:

90° rotation about the origin means the figure is rotated 90° counterclockwise about the origin and the rule of rotation is

[tex](x,y)\to (-y,x)[/tex]

Let the coordinates of A are (a,b).

[tex]A(a,b)\to A'(-b,a)[/tex]

The image of point A under a 90° rotation about the origin is A'(10, -4).

[tex]A'(-b,a)=A'(10,-4)[/tex]

On comparing both sides, we get

[tex]-b=10\Rightarrow b=-10[/tex]

[tex]a=-4[/tex]

Therefore, the coordinates of point A are (-4,-10).

Answer:

E is the answer

Step-by-step explanation:

hope it is helpful

Answer:

quadratic functions have a vertex

Answer:

2(n-8)-6=14

Step-by-step explanation:

Answer:

-6 on a number line is closer to 0 which make sit greater while -9 is farther away which makes it less than -6

Step-by-step explanation:

Answer:

True.

Step-by-step explanation: Because -9 is less than -6 because -6 is a bigger number than -9.

Answer:

20.37183...

hope this helps!

Answer:

Step-by-step explanation:

the area is 20.37 if u need the steps just add a comment and ill show the steps

Answer:

e

Step-by-step explanation:

e

Answer:

an inche

Step-by-step explanation:

Answer:

ITS MATH OLYMPIAD 2020 DEC 14

Step-by-step explanation:

HI

Answer:

Y: (0) (0.4)

X: (0.3) (0)

Step-by-step explanation:

prove me wrong

Answer:

x >_ - 7

Step-by-step explanation:

Answer:

y=4-0.5x

Step-by-step explanation:

Step one:

given data

Alina bought an ice cream cone for $3

the weight of the ice cream is 4 ounce

the rate of melting is 0.5 ounce per minute

let the number of minutes taken for the ice cream to melt be x

and the weight after x minutes be y

Step two:

Hence the expression for the situation after x minutes is

y=4-0.5x

Answer:

The graph is 1 unit shift to right of y = lxl

Step-by-step explanation:

horizontal shift to right 1 unit of y = lxl

Answer:

In bold.

Step-by-step explanation:

a.  (x+5)^2 – 3x(x+5)     x+5 is common

= (x + 5)(x + 5 - 3x)

= (x + 5)(5 - 2x)

b.  (x + 5)(5 - 2x) = 0

x = -5, 2.5.

2a.   Area of the square = (x + 5)^2

Area of triangle AEB

= 1/2 * base * height  

I am assuming that  H is the centre of AB , so

Area = x*x

= x^2.

2b

6x^2 = (x + 5)^2

6x^2 = x^2 + 10x + 25

5x^2 - 10x - 25 = 0

x^2 - 2x - 5 = 0

x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2

x = -1.45, 3.45.

 (we ignore the negative).

Answer:

Its 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Subtract 3 from 4

Answer: x = 20

Step-by-step explanation:

Hey there! If you have any questions feel free to let me know in the comments below.

Step 1: Subtract 36 from both sides.

3x = 96 - 36

Step 2: Simplify 96 - 36  to  60.

3x = 60

Step 3: Divide both sides by 3.

x = 60/3

Step 4: Simplify 60/3 to 20.

x = 20

Answer:

Step-by-step explanation:

here you go mate

step 1

3*x+36=96  equation

step 2

3*x+36(-36)=96(-36)  subtract -36 from the sides

∨ this is the number we are gonna divide with in step 3 to get our results

3x=60

step 3

3x/3=60/3  Divide by 3

answer

x=20

Answer:

3p³ + 5p² - 8

Step-by-step explanation:

Given:

6p - 2

-6(-p-1) = 6p + 6

Subtract 6p + 6 from 3p³ + 5p² + 6p - 2 get your answer

= 3p³ + 5p² + 6p - 2 - (6p + 6)

= 3p³ + 5p² + 6p - 2 - 6p - 6

= 3p³ + 5p² - 8

3p³ + 5p² - 8 Should be added To -6(-p-1) to get 3p³+5p²+6p-2

Answer:

a = -

b = -

c = 9

d = 3

e = 3

f = 2

Step-by-step explanation:

First we will solve the expression:

[tex]\frac{3x}{2x-6}+\frac{9}{6-2x}[/tex]

Solving:

First we will take negative sign common, then take LCM of denominator and simplify the expression.

[tex]=\frac{3x}{2x-6}+\frac{9}{\textbf{-}(2x-6)}\\=\frac{3x}{2x-6}+\frac{\textbf{-}9}{(2x-6)}\\Taking\:LCM\\=\frac{3x-\mathbf{9}}{2x-6}\\=\frac{\mathbf{3}(x-\mathbf{3})}{\mathbf{2}(x-3)}\\=\mathbf{\frac{3}{2}}[/tex]

So, After solving we get:

a = -

b = -

c = 9

d = 3

e = 3

f = 2

Answer:

Step-by-step explanation:

Dilation with respect to origin by a scale factor k will result in:

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope-intercept of the line equation is

[tex]y = mx + b[/tex]

where m is the slope and b is the y-intercept

Please note that a linear equation contains no powers of x besides.

For example, the equation of the form

y = 2x+3

has the slope m = 2 and y-intercept b = 3

The graph is shown below.

Let us graph two more functions of the same family by changing the parameter of y-intercept b.

Graphing y = 2x+5

y = 2x + 5

has same slope m = 2. But, the y-intercept b = 5

The graph of y = 2x+5 is attached below.

Graphing y = 2x+7

y = 2x + 7

has same slope m = 2. But, the y-intercept b = 7

The graph of y = 2x+7 is attached below.

Thus, we would have the following graphs of the family of linear functions.

Please notice that all the functions have the same slope m = 2. Thus, all the lines would be parallel.

Thus, from the graph, it is clear that:

The graph is attached below.

Answer:

A. -1, multiplicity 1; 0, multiplicity 1; 3, multiplicity 1.

Step-by-step explanation:

Let [tex]f(x) = -x^{3}+2\cdot x^{2} + 3\cdot x[/tex], to determine its roots and multiplicities we proceed to factorize the polynomial:

1) [tex]-x^{3}+2\cdot x^{2} +3\cdot x[/tex] Given

2) [tex]x\cdot (-x^{2}+2\cdot x + 3)[/tex] Distributive property

3) [tex]x\cdot (x-3)\cdot (x+1)[/tex] Quadratic formula/Result

The roots and multiplicities of [tex]f(x) = -x^{3}+2\cdot x^{2} + 3\cdot x[/tex] are:

0 (multiplicity 1)

3 (multiplicity 1)

-1 (multiplicity 1)

Therefore, the correct answer is A.

Answer:

The answer would be A!

Step-by-step explanation:

I did the question in class today. I hope this helped!

The value of 60 milligrams after unit conversion is 0.00006 Kg.

A unit conversion expresses the same property as a different unit of dimension. For case, time can be expressed in twinkles rather of hours, while distance can be converted from long hauls to kilometers, or bases, or any other measure of length.

A conversion factor is an expression for the relationship between units that's used to change the units of a measured volume without changing the value.

We have to convert 60 mg to Kg.

As, 1 Kg = 1000 g

and, 1 gm = 1000 mg

So, 1 mg = 1/ 1, 000, 000 Kg

Then, the conversion is

= 60 / 1, 000, 000

= 6/ 100,000

= 0.00006 Kg

Learn more about Unit Conversion here:

https://brainly.com/question/19420601

#SPJ2

Answer:

[tex]Length = 41\frac{7}{16}[/tex]

Step-by-step explanation:

Given

[tex]Width = 8\frac{1}{2}[/tex]

[tex]Length = 4\frac{7}{8}[/tex] times as long as the width

Required

Determine the length

To do this, we simply multiply the length by [tex]4\frac{7}{8}[/tex]

So, we have:

[tex]Length = 4\frac{7}{8} * Width[/tex]

Substitute [tex]8\frac{1}{2}[/tex] for width

[tex]Length = 4\frac{7}{8} * 8\frac{1}{2}[/tex]

Convert to improper numbers

[tex]Length = \frac{39}{8} * \frac{17}{2}[/tex]

[tex]Length = \frac{39*17}{8*2}[/tex]

[tex]Length = \frac{663}{16}[/tex]

[tex]Length = 41\frac{7}{16}[/tex]

Answer:

x = 20°

Step-by-step explanation:

Answer:

X = - 2

Hope it's help you.... ^_^

Answer:

A

1. Distribution.

7x-4x-1=6

2. combine like terms

3x-1=6

3. addition  property of inequality

3x=7

4. Division property of inequality

x=7/3 or 2.3333333333333333333334

Hope this helps plz hit the crown :D

Answer:

A)

1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation: