Answer:
k = 7
Step-by-step explanation:
3(k - 2) + 7 = 29 - k
3k + k = 29 + 6 - 7
4k = 28
k = 7
A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock.
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 1,900 plastic books sold in San Francisco, and 300 hardcover, 200 softcover, and 400 plastic books sold in Los Angeles. The bookstore chain actually maintained the same sales figures for the first 6 months of the year. Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 600 hardcover, 600 softcover, and 600 plastic books to Los Angeles.
(a) Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.
Hard Soft Plastic
San Francisco
Los Angeles
(b) Use matrix operations to determine the inventory in each store at the end of June.
Hard Soft Plastic
San Francisco
Los Angeles
Answer:
a. Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
b) Ending Inventory: Matrix D:
Hard Soft Plastic
San Francisco 400 3,200 3,000
Los Angeles 2,800 8,400 3,200
Step-by-step explanation:
a) Data and Calculations:
Stock on January 1: Matrix A
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Sales in January: Matrix B
Hard Soft Plastic
San Francisco 600 1,200 1,900
Los Angeles 300 200 400
Restocking: Matrix C
Hard Soft Plastic
San Francisco 500 1,400 1,400
Los Angeles 600 600 600
Total Sales over the first 6 months =
Matrix B * 6 = Matrix B6
Sales in January: Matrix B
Hard Soft Plastic
San Francisco 600 1,200 1,900
Los Angeles 300 200 400
* 6
=
Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
Matrix C6 = Matrix C * 6
=
Restocking: Matrix C6
Hard Soft Plastic
San Francisco 3,000 8,400 8,400
Los Angeles 3,600 3,600 3,600
Inventory at the end of June =
Matrix A + Matrix C6 - Matrix B6
= Matrix D
Stock on January 1: Matrix A
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
+
Restocking: Matrix C6
Hard Soft Plastic
San Francisco 3,000 8,400 8,400
Los Angeles 3,600 3,600 3,600
-
Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
Ending Inventory: Matrix D:
Hard Soft Plastic
San Francisco 400 3,200 3,000
Los Angeles 2,800 8,400 3,200
what is the answer for the for this equasion
x=5x6
Answer:
x=30 should be the answer
Answer:
x=30
Step-by-step explanation:
x=5×6
Multiply 5 and 6 to get 30.
x=30
I need help FAST!!!!
Answer:
Step-by-step explanation:
okay, so here are a few methods you can use.
___
1) +
x + 7 = 10 so because this is addition we use the reverse, subtraction. So
x - 7 = 10 - 7 and that equals to 3.
2) -
x - 2 = 10 so because this is subtraction we do the reverse, addition.
x + 2 = 10 + 2 and that equals to 12.
3) x
x times 3 = 21 because this is multiplying we divide.
x/3 = 21/3 and that would be 7.
4) /
x/2 = 10 same as above, reverse is multiplying.
x times 2 = 10 times 2 and thats 20.
GL!
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the equivalent expressions.
x − 4x + 6y + (14x − 5y)
7x + y
11x + y
3x + 3y + 2(2x − y)
7x − 8y
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
5(x + y) + 6(x − y)
11x − y
arrowBoth
arrowBoth
arrowBoth
arrowBoth
Reset Next
The given expressions and their equivalent expressions are:
x − 4x + 6y + (14x − 5y) ==> 11x + y3x + 3y + 2(2x − y) ==> 7x + y(5x − 3y) − x + 3x − 5y ==> 7x - 8y4(x + y) − 3(x + y) ==> x + y5(x + y) + 6(x − y) ==> 11x - yWhat are Equivalent Expressions?Equivalent expressions are expressions that have the same value when evaluated or when you simplify each of them.
Let's evaluate and simplify each of the given expressions:
x − 4x + 6y + (14x − 5y)
Open bracket
x - 4x + 6y + 14x - 5y
Combine like terms
11x + y
Therefore, x − 4x + 6y + (14x − 5y) is equivalent to 11x + y
3x + 3y + 2(2x − y)
Open bracket
3x + 3y + 4x - 2y
Combine like terms
7x + y
Therefore, 3x + 3y + 2(2x − y) is equivalent to 7x + y.
(5x − 3y) − x + 3x − 5y
5x - 3y - x + 3x - 5y
7x - 8y
Therefore, (5x − 3y) − x + 3x − 5y is equivalent to 7x - 8y.
4(x + y) − 3(x + y)
4x + 4y - 3x - 3y
x + y
Therefore, 4(x + y) − 3(x + y) is equivalent to x + y.
5(x + y) + 6(x − y)
5x + 5y + 6x - 6y
11x - y
Therefore, 5(x + y) + 6(x − y) is equivalent to 11x - y.
Learn more about equivalent expressions on:
https://brainly.com/question/4348710
Answer:
CORRECT
Step-by-step explanation:
MIDPOINT AND DISTANCE DUE TONIGHT NEED ASAP
Answer:
1. B
2. E
Step-by-step explanation:
d=√((x_2-x_1)²+(y_2-y_1)²)
[tex]d = \sqrt{(11--7)^{2} + (-5-2) ^{2} } [/tex]
=19.31
0.5-(6-0.5), -2- (1--2)
0.5-5.5,-2-3
(-5,-5)
Find the area of each figure below
Answer:
25. [tex]27a^{3}b^{2}[/tex]
26. [tex]3\pi x^{3}y[/tex]
Step-by-step explanation:
For 25:
[tex]A = \frac{a+b}{2} h[/tex] (area of a trapezoid)
[tex]A=\frac{11a^{2}b+7a^{2}b}{2} *3ab[/tex] (substitute terms)
[tex]= \frac{18a^{2}b}{2}*3ab[/tex] (collect like terms)
[tex]= 9a^{2}b*3ab[/tex] (reduce the fraction by crossing out 2)
[tex]= 27a^{3}b^{2}[/tex] (calculate)
For 26:
[tex]A=\pi r^{2}[/tex] (equation of area of a circle)
[tex]A=\pi (3x^{3} y)^{2}[/tex] (enter the radius)
[tex]= 3\pi x^{3} y[/tex] (communtative property to reorder the terms)
what is 2x - 3 = 11
Please help me I would really appreciate it thank u
Answer:
ok if you are asking for "what is x" your answer would be 7
Step-by-step explanation:
so first what I did was add the the tree to the 11 to get fourteen then i thought hmm what times 2 equals fourteen and boom I got my answer of seven
Answer:
x = 7
Step-by-step explanation:
2x - 3=11
collect like terms
11+3=2x
14 = 2x
divide both sides by 2
14/2 = 2x/2
7 = x
. A un concierto asistieron 10000 personas , lo que representó un total de
$6600000 en ingresos por venta de boletos. Había boletos de dos precios
de acuerdo con la proximidad al escenario: general ($500) y preferente
($1300). ¿Cuántos boletos de cada tipo se vendieron?
Answer:
Número de boletos general = 8000
Número de boletos preferente = 2000
Step-by-step explanation:
Total de personas = 10000 personas
Venta total = $6600000
Ecuación para la venta total en terminos de boletos vendidos:
Número de boletos general = variable g
Número de boletos preferente = variable p
$500g + $1300p = $6600000
Simplifica la ecuación:
5g + 13p = 66000
Subsituye una de las variables usando la ecuación g + p = 10000:
g + p = 10000 => g = 10000 - p
5g + 13p = 66000 => 5(10000 - p) + 13p = 66000
Aislar la variable p:
5(10000 - p) + 13p = 66000
50000 - 5p + 13p = 66000
8p = 16000
p = 16000/8 = 2000
g = 10000 - p = 10000 - 2000 = 8000
Número de boletos general = 8000
Número de boletos preferente = 2000
Square B is a dilation of square A. What is the scale factor?
This question is incomplete, the missing diagram is uploaded along this answer below.
Answer:
the scale factor is 5/4
Step-by-step explanation:
Given the data in the image below;
B is a dilation of square A, scale factor = ?
B is a dilation of square A, that is; B is a larger form of square A.
now, to get the scale factor;
The side length of Square B = 35
The side length of Square A = 28
so, the scale factor k will be;
K = 35 / 28
divided both the numerator and denominator by 7
K = 5/4
Therefore, the scale factor is 5/4
Gina has one-third scale model of a three-dimensional solid, meaning that all lengths
of the model are 1/3 of the corresponding lengths in the full-size solid. If the volume of
Gina’s model is 20 cubic inches, what is the volume of the full-sized solid?
Answer:
volume is 540 inches^3
Step-by-step explanation:
The computation of the volume of the full sized solid is given below:
The length would be
[tex]\frac{a}{3}, \frac{b}{3}, \frac{c}{3}[/tex]
And, the volume is
[tex]\frac{a}{3} \times \frac{b}{3} \times \frac{c}{3}[/tex]
As the volume is given 20 cubic inches
So,
[tex]\frac{abc}{27} = 20\\\\abc = 540 inches^3[/tex]
hence, volume is 540 inches^3
Read the sentence.
She did not want to take sides in the argument.
Which of the following sentences means the same thing?
A.
She was neutral during the argument.
B.
She was outspoken during the argument.
C.
She was entitled during the argument.
D.
She was unequal during the argument.
Answer:
A
Step-by-step explanation:
I took the quick check : D
Answer:
A
Step-by-step explanation:
I already did the quick check too
El producto de w y 9
Answer:
Step-by-step explanation:
What is the mean and range of 15 20 18 22 22 28 29
Answer:
Mean = 22
Range = 14
Step-by-step explanation:
pls give brainliest
WILL GIVE BRAINLIEST FOR RIGHT ANSWER.
the sum of a number and its multiplicative inverse is 5 times the number
Answer:
Holii me ayudas a ganar plis
S(n) = 3n + 4, n = { 1, 2, 3, 4 }
What’s the equation of the line?
Answer:
y= -7
Step-by-step explanation:
At a popular rock-climbing site in Yosemite National Park, a randomly selected
Answer:
please be more specific
Step-by-step explanation:
What is 27 players for 12 spots expressed as a rate?
Answers
9 players 4 spots
9 players 2 spots
12 spots 27 players
3 plays 2 spots
Answer:
9 p 4 s
Step-by-step explanation:
That's the answer.
A. 9 players 4 spots
what is rate and its example?In math, a rate is a ratio that compares two different portions that have distinct units. for example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
rate is a ratio among measurements using different units, for example, births per year, cost per person, words per minute.
All rate problems can be solved by using the formula D = R(T), which translates to distance (D) equals rate (R) multiplied by time (T)
Learn more about rate here
https://brainly.com/question/25537936
#SPJ2
In a painting of the Mona Lisa, the length of the painting is 4 1/2 inches. Milo scales the drawing up by 2 3/4?
what kind of idiotic question is that
does a idiot teacher exists?
each marble bag sold by Yoko's Marble Company contains 5 yellow marbles for every 6 red marbles. If a bag has 42 red marbles, how many yellow marbles does it contain?
negative 5x plus 4y equals 3 i need x and y please
Answer:
x = 9
y = 12
Step-by-step explanation:
-5x + 4y = 3
x = 2y - 15
Manipulate the equations such that the coefficients of two variables are additive inverses
-5x + 4y = 3
x = 2y - 15
Inverse operations
-> 4y - 3 = 5x
-> 2y - 15 = x (*(-5))
->4y - 3 = 5x
-> -10y + 75 = -5x
Now add the equations to eliminate a variable,
4y - 3 = 5x
-10y + 75 = -5x
-6y + 72 = 0
Inverse operations
-6y + 72 = 0
72 = 6y
/6 /6
12 = y
Back solve to find (x)
2y - 15 = x
2(12) - 15 = x
24 - 15 = x
9 = x
This needs to be done quickly!!
Answer:
3x-5
Step-by-step explanation:
I need help quick!!!!
Answer: I cant see the picture
Step-by-step explanation:
is 6 a factor for 71
Answer:
no its not kpfkansnsbsdhdbdb
Evaluate the expression. (38 + 10) ÷ 12 + 52
Answer:
56
Step-by-step explanation:
(Use PEMDAS for the order of operations)
First, solve everything in parentheses. You get this:
48 ÷ 12 + 52
Next, divide. You get this:
4 + 52
Lastly, add for the answer:
56
Solve for n. 56 = -4n
Answer:
-14
Step-by-step explanation:
ok
Graph the function.
h(x) = x^2+ 2x
Answer:
See attachment.
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)FunctionsFunction NotationStep-by-step explanation:
The fastest way to graph a function is to plug it into a graphing calculator.
Graphing by hand would require a table of values, plotting those points, and connecting the dots.
We can also use the parent function x² and determine the graph.
Cody and Ashley are helping their dad fertilize the lawn. They have 3 1/3 pounds of fertilizer and 3 buckets. Each bucket will get the same amount of fertilizer. Cody measures 1 pound of fertilizer into each bucket.
The following equation represents this situation, where x represents the additional amount of fertilizer each bucket will get.
3 (x+1) = 3 1/3
How much more fertilizer should each bucket get?
A. 1/9 of a pound
B. 2/3 of a pound
C. 2/9 of a pound
D. 1/3 of a pound
Answer: They have 1/3 pounds of fertilizer and 3 buckets
Step-by-step explanation:
if the price of the petrol increases by 25%,Santosh intends to spend only 15% more on petrol,how much % should he reduce the quantity of petrol that he buys?