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Ira Lisetskai [31]

2 years ago

12

Vicki ate 15 cookies last week. If she ate 5 cookies Friday, what fraction of the week's cookies did she eat Friday? What fracti

on of the cookies did she eat during the rest of the week?

1 answer:

Anika [276]2 years ago

7 0

Vicki ate 5/20 cookies on Friday and 15/20 last week

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Solve the system.

svetoff [14.1K]

Answer:

(0, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

<u>Algebra I</u>

Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y + 5x = 1

5y - x = 5

<u>Step 2: Rewrite Systems</u>

y + 5x = 1

Subtract 5x on both sides: y = 1 - 5x

<u>Step 3: Redefine Systems</u>

y = 1 - 5x

5y - x = 5

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

Substitution in <em>y</em>: 5(1 - 5x) - x = 5
Distribute 5: 5 - 25x - x = 5
Combine like terms: 5 - 26x = 5
Isolate <em>x</em> term: -26x = 0
Isolate <em>x</em>: x = 0

<u>Step 5: Solve for </u><em><u>y</u></em>

Define equation: 5y - x = 5
Substitute in <em>x</em>: 5y - 0 = 5
Subtract: 5y = 5
Isolate <em>y</em>: y = 1

8 0

2 years ago

The figure below is a right rectangular prism. which expression represents the volume of the prism?

Leviafan [203]

Answer: The expression (equation/formula) for the volume of a:

" right rectangular prism " ; is represented by:

____________________________________________________

→ " V = L * w * h " ;

____________________________________________________

in which: all the dimensions are in the same "units of measurement" (or converted to the same "units of measurement" ;

and in which:

" V " is the "volume" of the right rectangular prism; in the "cubic units" ; or written as: "units³ " ; or, [insert the particular units used}^ ³ " ;

→ that is, [units] raised to the "3rd [third] power" ; assuming these units are the same same "fundamental units of measurement" as the "other 2 (two) values in the expression".

If we are given no specific units of measurement whatsoever, then we use the generic term, "units" as the "units of measurement" ; and we express the "volume; "V" ; of a "right rectangular prism" as: " units ³ " ; or "cubic units" ;

in our answer— if we are asked to solve for the:

"volume; "V"; of a "right rectangular prism" ;

_________________________________________________

and in which:

"L" represents the "length" of a "right rectangular prism" ;

"w" represents the "width" of a "right rectangular prism" ;

"h" represents the "height" of a "right rectangular prism" .

_________________________________________________

To given an example:

Say we have a "right rectangular prism" ; with the given measurements:

width , "w" : w = 2 units;

length, "L" : L = 3 units ;

height, "h" : h = 8 units.

_________________________________________________

We are asked to "find the volume " ; of this "right recentangular prism" .

The formula for the volume; "V" ; of this "right rectangular prism" ;

is:

_________________________________________________

→ Volume = Length * width * height ;

that is:

→ V = L * w * h ;

Solve for the volume; "V" .

_________________________________________________

→ V = L * w * h ; Now plug in the values given:

→ V = (3 units) * (2 units) * (8 units) ;

= 3 * 2 * 8 * (units) * (units) * (units) ;

= 3 * 2 * 8 * units ³ ;

= 48 units ³ .

_________________________________________________

Hope this answer— and explanation—is helpful to you!

Wishing you the best in your academic pursuits

— and within the "Brainly" community!

_________________________________________________

4 0

2 years ago

Read 2 more answers

HELPPPPPPPPPPPPPP !!!!!!

d1i1m1o1n [39]

Answer:

35 degrees

Step-by-step explanation:

Degrees in a triangle: 180

Assume Angle C = 90 degrees

180-55-90 = 35 degrees

5 0

2 years ago

Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 174 i

Leya [2.2K]

Answer:

The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of $195112 in^{3}$

Step-by-step explanation:

For this problem we have two constraints, that are as follows:

1) Sum of length, width, and heigth not exceeding 174 in

2) Lenght and width have the same measure (square-based box)

We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:

$V=(w^{2})(174-2w)\\V=174w^{2}-2w^{3}$

The interval of interest of the objective function is [0, 87]

This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:

$V'=348w-6w^{2} \\V'=(348-6w)(w)$

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

$0=(348-6w)(w)\\w_1=0\\w_2=348/6=58$

The first value ( $w=0$ ) will leave us with a 'height-only box', so the answer must be $w=58 in$

The value is between the interval of interest.

And, once we solve for the constraints, we have that:

Lenght = Width = Heigth = 58 in

Volume = $195112 in^{2}$

8 0

3 years ago

If g(x)= -(3/(4x)) , find g(g(x)) please show work.

ivann1987 [24]

Answer:

$g(g(x)) = x$

Step-by-step explanation:

$g(x) = -\dfrac{3}{4x}$

$g(g(x)) = -\dfrac{3}{4g(x)}$

$g(g(x)) = -\dfrac{3}{4(-\frac{3}{4x})}$

$g(g(x)) = -\dfrac{3}{4} \div (-\frac{3}{4x})$

$g(g(x)) = -\dfrac{3}{4} \times (-\frac{4x}{3})$

$g(g(x)) = \dfrac{3 \times 4x}{4 \times 3}$

$g(g(x)) = x$

4 0

2 years ago

Read 2 more answers