Answer:
The 12.6 oz bottle
Step-by-step explanation:
0.19/oz for the 12.6 oz
0.21/oz for the 25.3 oz
The size is the better buy based on the unit price is 12.6 oz bottle if a certain shampoo is available in two sizes.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.37. A 25.3-ounce bottle costs $5.24.
Let the unit price be x:
= 0.19/oz for the 12.6 oz
x = 0.21/oz for the 25.3 oz
Thus, the size is the better buy based on the unit price is 12.6 oz bottle if a certain shampoo is available in two sizes.
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Joni sells kitchen aprons online for $32.50 each. How many aprons must she sell next month if she wants to earn at least $1,000?
Answer:
she must sell 31 aprons
The number of aprons Joni must she sell next month if she wants to earn at least $1,000 is 31.
In order to determine the number of aprons that Joni should sell in order to make at least $1000 next month, we would dived the total amount Joni hopes to make by the unit cost of an apron.
Number of aprons to sell = Amount Joni hopes to earn / unit cost of an apron.
$1000 / $32.50 = 30.77
Rounding off to the nearest whole number, the number of aprons that Joni should sell is 31.
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Identify the elementary row operation(s) being performed to obtain the new row-equivalent matrix. Original Matrix New Row-Equivalent Matrix 3 −1 −4 −5 3 8 3 −1 −4 4 0 −4 Add 3 times Row 2 to Row 1. Add 3 times Row 1 to Row 2. Multiply Row 2 by three. Multiply Row 1 by three. Interchange Row 1 and Row 2.
Answer:
Add 3 times row 1 to row 2 to obtain the new matrix
Step-by-step explanation:
Attached below is the solution
To obtain the new matrix we will add 3 times Row 1 to row 2
[tex]\left[\begin{array}{ccc}3&-1&-4\\-5&3&8\\\end{array}\right][/tex] original matrix
[tex]\left[\begin{array}{ccc}3&-1&-4\\4&0&-4\\\end{array}\right][/tex] New Matrix
On average, 8 potatoes cost $1.50 at
Peter's Produce Market. Fernando needs to buy
22 potatoes.
a. How much will it cost Fernando to buy 22 potatoes? How does this compare
to your estimate?
b. How many potatoes could Fernando buy with $7?
c. What is the unit cost per potato?
Answer:a) it will cost him $4.13 rounded
B)about 36
C)$ 0.19 (rounded) per potato
The Peters will cost to buy 22 potatoes is$4.13 , Fernando can buy 37 potatoes for $7 and the unit cost per potato is $0.1875.
How to form an equation?
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that
8 potatoes cost $1.50
8 potatoes ⇔ $1.50
1 potato ⇔ $(1.50/8)
a) →
22 potatoes will cost 22 × $(1.50/8) = $4.13
b) →
8 potatoes ⇔ $1.50
$1 ⇔ 5.33 photos
By multiply 7
$7 ⇔ 37.33
Si Fernando can buy 37 potatoes.
c) →
1 potato ⇔ $(1.50/8)
1 potato ⇔ $0.1875
Hence "The Peters will cost to buy 22 potatoes is $4.13, Fernando can buy 37 potatoes for $7 and the unit cost per potato is $0.1875".
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6z=3(z+8) solve for z
Answer:
z = 8
Step-by-step explanation:
First, distribute:
6z = 3z + 24
Then, we subtract 3z on both sides:
3z = 24
Finally, we divide 3 on both sides:
z = 8
Hope this helps ^^
Answer:
8
Step-by-step explanation:
First distribute the 3 inside the parenthesis.
6z=3z+24
Subtract 3z to both sides
3z=24
Divide each side by 3
z=8
A waitress sold ribeye steak dinners and grilled salmon dinners, totaling $ on a particular day. Another day she sold ribeye steak dinners and grilled salmon dinners, totaling $. How much did each type of dinner cost?
Answer:
ribeye steak: $24.37grilled salmon: $9.30Step-by-step explanation:
If we let r and g represent the costs of a ribeye steak dinner and grilled salmon dinner, respectively, the sales figures give rise to two equations.
17r +15g = 553.74
22r +5g = 582.65
If we multiply the second equation by 3 and subtract the first, we have ...
3(22r +5g) -(17r +15g) = 3(582.65) -(553.74)
49r = 1194.21
r = 1194.21/49 ≈ 24.37
g = (553.74 -17r)/15 ≈ 9.30
The steak dinner costs $24.37; the salmon dinner costs $9.30.
_____
Check
17(24.37) +15(9.30) = 553.79 . . . not 553.74
22(24.37) +5(9.30) = 582.64 . . . not 582.65
There is no exact solution to this problem.
Answer:
R=cost of rib-eye dinner; S=cost of salmon dinner
24R+10S=$580.66
10S=$580.66-24R
20S=$1161.32-48R Use this to substitute for 20S below
17R+20S=$590.81 . Substitute for 20S.
17R+($1161.32-48R)=$590.81
-31R=-$570.51
R=$18.40
ANSWER 1: Rib-eye dinner costs $18.40.
Step-by-step explanation:
24R+10S=$580.66
24($18.40)+10S=$580.66
$441.60+10S=$580.66 441.69
10S=$139.06
S=$13.91
ANSWER 2: A salmon dinner costs $13.91.
CHECK:
17R+20S=$590.81
17($18.40)+20($13.91)=$590.81
Betsy caught three fish. The weights of the fish were 3 lb 2 oz, 2 lb 11 oz, and 2 lb 8 oz. What was the total weight of the three fish?
Answer:
8 lbs 5 oz
Step-by-step explanation:
When you add 3 lbs, 2 lbs, and 2 lbs you get 7 lbs.
There are 16 oz in a lb. When you add the number of oz you get 21 oz which is the same as 1 lb and 5 oz.
you then add 7 lbs to 1 lb and 5 oz and get 8 lbs and 5 oz.
50 points!!!! plz i need help!!! what is 3x^-4(8x+12x) simplified??
Answer:
60
x^3
Step-by-step explanation:
3x^-4 (8x + 12x)
apply exponential rule:
= 3 * 1/x^4 *(8x + 12x)
add similar elements
= 3 * 20 * (1/x^4) x
multiply fractions:
= 1 * 3 * 20x
x^4
simplify:
= 60x
x^4
finally = 60
x^3
Collect like terms
3x^-4×(8x+12x)
Calculate=3x^-4 * 20x
Solving Further=60x^-3
Express with a positive exponent=60 * 1/x^3
Solution[tex] \frac{60}{ x {}^{3} } [/tex]
Is 3(x+x+y) equivalent to 3x+3(x+y)
Answer:
yes
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
Step 1: Distribute 1st equation
3x + 3x + 3y
Step 2: Combine like terms
6x + 3y
Step 3: Distribute 2nd equation
3x + 3x + 3y
Step 4: Combine like terms
6x + 3y
We see here that 6x + 3y = 6x + 3y. Therefore, they are equivalent.
Complete the sentence to make it a true statement. 60 is 1/100 of
Answer:
6000
Step-by-step explanation:
If it is one hundredth than multiply by 100 to get 6000
Find cos A and B. Write each answer as a fraction
Answer:
cosA = 5/13
cosB = 12/13
Step-by-step explanation:
cos∅ = adjacent over hypotenuse
cosA = 10/26
cosB = 24/26
For all the problems in this assignment you must enter your answers as a fraction or a product of fractions. For example, if your answer is 4/52 * 3/51 or 1 - 13/52 * 12/51, leave it in that form using * to indicate multiplication and ^ to indicate raising a number to a certain power. (eg. (5/6)^3 means 5/6*5/6*5/6 or (5/6)3.) a. Draw 2 cards with replacement. What is the chance that the first is a heart and the second is a heart
Answer:
13/52 * 12/51
Step-by-step explanation:
Given the question :
Probability of drawing two hearts from a card deck when picked without replacement :
Number of cards in deck = 52
Number of hearts in card deck = 13
Probability = required outcome / Total possible outcomes
First pick (p1) :
P(picking a heart) = 13 / 52
Second pick ( without replacement) (p2):
P(picking a heart) = 12 / 51
Hence,
P(heart on first and Second pick) :
P1 × P2
= 13/52 * 12/51
plzzzzzzzzz helpppp meeeee
Answer:
it will be 1 not -15 or -1 because thats in the left
When converting measurements in the metric system, you can move the decimal point to the left or right, select all that apply?
Answer:
Ayo boys it a, c, and d
Step-by-step explanation:
Answer: a,b,c
Step-by-step explanation:
-5 – 3x > 2(10 + 2x) + 3
Solve inequality
Answer: x < -4
ervrdbtyunbyjthdrggvghbdxfgchvj
Answer:
x>-4
Step-by-step explanation:
-5-3x>2(10+2x) +3
-5-3x>20+4x+3
-5-3x>4x+23
-5>7x+23
-28>7x
-4>x
If you can buy 2 quarts of ice cream for $3, how much ice cream do you get per dollar? 2/3 of a quart of ice cream O 1 quart of ice cream 0 1 and a half quarts of ice cream 1 and 1/3 quarts of ice cream
Answer:
C
Step-by-step explanation:
3 divided by 2 = 1 and 1/2
John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
Answer:
2h30m
Step-by-step explanation:
Assuming they each do half, Julie would take 1 hour and John would take 1 hour 30 minutes, and combined would therefore be 2h30m.
Emily completed 44% of the book that she is reading. If the book has 150 pages, how many pages has she read?
Answer:
66 pages
Step-by-step explanation:
0.44 x 150 number of pages = 66 pages
Answer:
66 pages
Step-by-step explanation:
44%of 150 =44 ×150 :100 =6600 :100 =66 pages has read
If a cube has a volume of 216 cubic inches, what is the length of one side?
Answer:
find the cube root of 216 to get the length of one side as you get the volume of a cube by length x length x length
Step-by-step explanation:
the the cube root of 216 is 6
so the length of one side is 6 inches
Jackson says he has an odd number of models cars. He has 6 cars on one shelf on one shelf and 8 cars on another shelf.is Jackson correct?explain.
Answer:
No he isnt correct,
Step-by-step explanation:
in total, 6+8 is 14 and 14 is divisible by 2, anything divisible by two is basically even, not odd.
What is the probability of the spinner stopping on an even number?
Answer:
D because thee are 5 even numbers
The probability of the spinner stopping on an even number will be equal to 5/10.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The total number on the spinner is 10
The total even number on the spinner is 5.
The probability of the spinner stopping on an even number = 5/10
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Your favorite radio station is having a contest! The host poses a question to the listeners. If the caller answers correctly, he or she wins the prize money. If the caller answers incorrectly, $30 is added to the prize money and the next caller is eligible to win! The contest starts with a $100 prize for the first caller.
Part A: The first 4 callers have all missed the question. How much money is the 5th caller eligible to win? Show your work or explain your thinking.
Part B: You are the 12th caller to call in, and you win the prize! How much money will you win?
Answer:
A:150
B: 360 if all before are wrong
Answer:
A 150
Step-by-step explanation:
B- 360 if all before are wrong
. A hotel elevator is on the 14th floor. If it goes up 5 floors, then goes down 8 floors, what floor is it now on?
What is the solution set for (x+3) = 5?
Answer:
x=2
Step-by-step explanation:
subtract 3 from both sides
5-3=2
x=2
Answer:
x=2
Step-by-step explanation:
Move all terms not containing
x
to the right side of the equation.
25) Norachai had some candy to give to his
three children. He first took five pieces for
himself and then evenly divided the rest
among his children. Each child received
five pieces. With how many pieces did he
start?
Answer:
30
Step-by-step explanation:
He took 5 pieces.
His children took 5 * 5 pieces = 25
The total is 5 + 25 = 30.
plzzzzz helppppp meeeee plzzzzz
Answer:
dont let the () bother you its literaly 7+5 then slap a "-" on your answer
a triangle has side lengths g, h, and k. The relationship among the side lengths of this triangle is shown
The angle opposite side h = 45°.
The angle opposite side , h, = 45°.
The angle opposite side k = 90°.
The angle opposite side , k, = 90°.
The triangle is a right triangle.
The triangle is a right triangle.
The triangle is not a right triangle.
Does anyone know how to do number 18????
Answer: angle ITU = 145 degrees
===============================================
Explanation:
Angle STU is the largest angle composed of the smaller angles STI and ITU.
In other words, the two smaller angles add up to the larger one.
(angle STI) + (angle ITU) = angle STU
( 20 ) + ( 12x+1 ) = 13x + 9
20+12x+1 = 13x+9
12x+21 = 13x+9
21-9 = 13x-12x
12 = x
x = 12
Using this x value, we find that,
angle ITU = 12x+1 = 12(12)+1 = 145 degrees
----------
As a side note,
angle STU = 13x+9 = 13(12)+9 = 165 degrees
This is confirmed with
(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU
Simplify the expression: 4(2 + 6j)
Answer:
[tex]8+24j[/tex]
Step-by-step explanation:
[tex]4(2+6j)[/tex]
Apply the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]
Thus,
[tex]4* \:2+4* \:6j[/tex]
[tex]8+24j[/tex]
Answer:
24j + 8
Step-by-step explanation:
multiply 2 and 6j with 4
The octane rating of gasoline is the percentage of isooctane in the fuel. For example, 89-octane gasoline contains 89% of isooctane. How many liters of 88-octane gasoline should be mixed with 100 liters of 95-octane gasoline to get a mixture which is 93-octane gasoline ?
Answer:
40 liters of 88-octane gasoline should be mixed
Step-by-step explanation:
Here in this question, we are interested in calculating the number of liters of 88-octane gasoline that should be mixed with 100 liters of 95-octane gasoline to get a mixture of 93-octane gasoline.
Since we do not know the number of liters, we can represent it by x
This means that the total number of liters of the 93-octane gasoline we are looking at producing is (100 + x) liters.
Thus, if we multiply the number of liters of each gasoline type by their isooctane content and add together, we will obtain the product;
Hence;
88(x) + 100(95) = 93(100 + x)
88x + 9500 = 9300 + 93x
93x -88x = 9500-9300
5x = 200
x = 200/50
x = 40 liters
Two
pages
that face each other in a book have 343 as the sum of their page
numbers. What is the number of the page that comes first?
Answer:
171
Step-by-step explanation:
I divided 340 first and got 170 for each page number then I had 3 left over.
I added 1 to 170 and got 171 the I added the left over 2 to the other 170 and got 172.
So the first page number should be 171 :)
I hope this helped you understand :)
The number of page that comes first is 171.
It is given that in a book two pages that face each other have sum of 343 of their page numbers.
We have to find out what will be the number of page that comes first.
What will be the value of x , if x + (x + 2 ) = 18 ?
The value of x will be equal to ; 2x + 2 = 18 or 2x = 16 or x = 16 ÷ 2 or x = 8.
As per the question ,
In a book sum of two pages that face each other = 343
Let's assume that the page which comes first will be have page number x.
So,
x + (x + 1) = 343
2x + 1 = 343
2x = 342
x = 342 ÷ 2
x = 171
The other page will have number :
= x + 1
= 171 + 1
= 172
Thus , the number of page that comes first is 171.
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