Answer: A) Economic ordering quantity ==$1,300
B)Orders placed during the year= 65 orders
C)average inventory= 650units
D)total cost of ordering and carrying inventory= $1,560
Step-by-step explanation:
A) Economic ordering quantity =[tex]\sqrt{2 x Annual demand x ordering cost /carrying cost}[/tex]
=[tex]\sqrt{2 x 84,500 x 12} /1.20[/tex]
=[tex]\sqrt{1,690,000}[/tex]
=$1,300
B)Orders placed during the year= Annual demand ÷ economic order quantity
= $84,500 ÷ 1,300 units
= 65 orders
C)average inventory= Economic order quantity ÷ 2
= 1,300 units ÷ 2
=650units
D)total cost of ordering and carrying inventory
Ordering cost = Number of orders × ordering cost per order
= 65 orders × $12
= $780
Carrying cost = average inventory × carrying cost per unit
= 650 units × $1.20
= $780
The total would be = $780 + $780 = $1,560
8. Paula needs to replace the floor in her family room since her cat peed in several
places. She wants to put down both vinyl flooring and carpet in the room. The
carpet she selected costs $2 per square foot. The vinyl floor covering costs $1
per square foot. She has $500 to spend on materials and must cover an area of
300 square feet. How much carpet and vinyl flooring will she buy to meet her
requirements?
Someone help me click this solve it using < or >
Answer:
<
<
>
Step-by-step explanation:
To compare fractions, we need to make sure that both fractions have the same denominator. For example, for question 4, the least common multiple of 5 and 3 is 15, so we need to multiply both fractions by some numbers to get the denominators equal to 15. In this case, we will multiply the first fraction, [tex]\frac{3}{5}[/tex] by 3 to get [tex]\frac{9}{15}[/tex] and the second fraction, [tex]\frac{3}{3}[/tex] by 5 to get [tex]\frac{15}{15}[/tex].
Once we have the same denominator, we can simply compare the value of the numerators and see which one is larger. For question 4, since 9 is smaller than 15, the first fraction is smaller than the second. So the correct inequality to represent this would be "<".
To do these sums, we have to first convert them to like fractions.
For the first one:
LCM of denominators 5 and 3 is 15.[tex] \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} [/tex][tex] \frac{3}{3} = \frac{3 \times 5}{3 \times 5} = \frac{15}{15} [/tex]Since,[tex] \frac{9}{15} < \frac{15}{15} [/tex]Therefore,[tex] \frac{3}{5} < \frac{3}{3} [/tex]For the second sum:
LCM of denominators 6 and 8 is 24.[tex] \frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24} [/tex][tex] \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} [/tex]Since[tex] \frac{16}{24} < \frac{21}{24} [/tex]Therefore,[tex] \frac{4}{6} < \frac{7}{8} [/tex]For the third one:
LCM of denominators 10 and 5 is 10.[tex] \frac{6}{10} = \frac{6 \times 1}{10 \times 1} = \frac{6}{10} [/tex][tex] \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} [/tex]Since,[tex] \frac{6}{10} > \frac{4}{10} [/tex]Therefore,[tex] \frac{6}{10} > \frac{2}{5} [/tex]Hope you could get an idea from here.
Doubt clarification - use comment section.
The chart shows the sizes and prices of different sized boxes of Alex's favorite cereal.
Step-by-step explanation:
Compare the rates
Whichever has the smaller rate is the best deal.
remember, to be able to compare both cereal boxes they must have the same unit of measure (grams with grams, ounces with ounces, etc.)
Answer:
Price of box of cereal #1
---------------------------- = $ per ounce(or other unit)
Size of box #1 (in ounces,
or some other unit)
In the art club, there are 2 seventh graders for every 3 eighth graders. At
this year's art fair, there were 7 paintings by seventh graders for every 12
paintings by eighth graders. Is the ratio of seventh graders to eighth
graders in the art club equivalent to the ratio of paintings by seventh
graders to paintings by eighth graders? *
Answer:
no
Step-by-step explanation:
2/3 does not equal 7/12.
there would need to be 8 paintings by seventh graders for every 12 by eighth graders in order to have an equivalent ratio.
Express as a single power.
[tex]\\(a)\\2^3 \times 2^6 \div 2^9 = 2^{3+6} \times \dfrac{1}{2^9} = 2^9 \times 2^{-9} = 2^{9-9} = 2^0 = 1\\\\ \\(b)\\\\(-5)^8 \div (-5)^4 \times (-5)^3\\ \\= (-5)^8 \times \dfrac 1{(-5)^4 \times (-5)^3} \\\\= (-5)^8 \times \dfrac{1}{(-5)^{4+3}} \\\\= (-5)^8 \times \dfrac{1}{(-5)^7} \\\\= (-5)^{8 - 7} \\\\=(-5)^1 \\\\ =-5\\\\\\(c)\\\\\\\dfrac{6^3 \times 6^5}{6^2 \times 6^4}= \dfrac{6^{3+5}}{6^{2+4}}= \dfrac{6^8}{6^6}=6^{8-6}=6^2 =36[/tex]
It takes 4/5 of an hour to fill 1/2 tank.how many tanks can she fill in an hour
Answer:
5/8 of a tank
Step-by-step explanation:
Divide 1/2 by 4 to get how much of a tank you would be able to fill in 1/5 of an hour. 1/2 ⁒ 4 is 1/8 so she can fill 1/2+1/8 of a tank or 5/8 of a tank.
What is the sum of the 1st square number and the 4th cube
. Number
Answer: there is nothing here with the info i need 2 anwser this question srry.
Step-by-step explanation:
Answer:
i think it is 65
Step-by-step explanation:
the 4th cube number is 64 and the first square number is 1 64+1=65
however if you use the first square number as 4 then it is 68
5. Seismologists use the Richter scale to measure the magnitudes and intensity of
earthquakes that occur all over the earth. (see below, some info about Richter scales,
and intensity formula)
Let's say an earthquake hit Santa Monica, CA and had a magnitude of 6.2. If another
earthquake hit Charleston, SC and was a magnitude of 3.8, then how much more
intense was the earthquake in LA?
Student's Work
Student's Answer
A. 251.19 times
B. 11.02 times
C. 42.81 times
D. 2.4 times
Some additional Richter scale info...
A common logarithm is a logarithm with base 10. You can write a common logarithm logio * simply as log x, without
showing the 10
Many measurements of physical phenomena have such a wide range of values that the reported measurements are
logarithms (exponents) of the values, not the values themselves. When you use the logarithm of a quantity instead of the
quantity, you are using a logarithmic scale. The Richter scale is a logarithmic scale. It gives logarithmic measurements
of earthquake magnitudo.
1
3) 1 Hot 10
Intensity formula:
-
= M - M₂
-
log
12
Applying logarithms, it is found that the earthquake in LA was 251.19 times more intense, and the correct option is A.
The logarithm of the ratio of intensity of two earthquakes of magnitudes [tex]M_1[/tex] and [tex]M_2[/tex] is given by:
[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]
[tex]\frac{I_1}{I_2}[/tex] gives how much more intense earthquake 1 is compared to earthquake 2.In this problem, [tex]M_1 = 6.2, M_2 = 3.8[/tex], then:
[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]
[tex]\log{\frac{I_1}{I_2}} = 6.2 - 3.8[/tex]
[tex]\log{\frac{I_1}{I_2}} = 2.4[/tex]
[tex]10^{\log{\frac{I_1}{I_2}}} = 10^{2.4}[/tex]
[tex]\frac{I_1}{I_2} = 251.19[/tex]
Hence, the earthquake in LA was 251.19 times more intense, and the correct option is A.
A similar problem is given at https://brainly.com/question/2528611
a torist walks 10.5 inches in 3 seconds. how far does it walk per second
Divide distance by time:
10.5 inches / 3 seconds = 3.5 inches per second
Answer: 3.5 inches per second
Answer: 31.5
Step-by-step explanation: you multiply the inches by the second.
\displaystyle\lim_{ x \rightarrow 0 } \left( \dfrac{ \sqrt[ m ]{ 1+αx \phantom{\tiny{!}}} \times \sqrt[ n ]{ 1+βx \phantom{\tiny{!}}} -1 }{ x } \right)
Answer:
What are you trying to ask.
Step-by-step explanation:
Please Write in a understandable manner.
Thanks from India.
PLS HELP ME WITH THIS (4 x 1) + (4 x 3)
Answer:
16
Step-by-step explanation:
4x1 is 4
4x3 is 12
4+12 is 16
Answer:
16
Step-by-step explanation:
LESSON 3
WHATS MORE
Translate each English phrase/sentance into Mathematical phrase/sentance
1. The sum of 4 and number________
2. Six less than a number_________
3. The product of 8 and a number______
4. The quotient of x and 7 ______
5. Five more than a number is equal to 15_____
Answer:
1. 4+x
2. x-6
3. 8x
4. x/7
5. x+5=15
Step-by-step explanation:
pls solve this equation for brainliest 2a+2=8?
Answer:
a=3
Step-by-step explanation:
you subtract 2 from both sides of the equation you simplify it and then you divide both sides of the equation by the same term and then simplify it again
Answer:
a=3
Step-by-step explanation:
solve for X:
10( x + 1) = 2 x-7
-1
-3
-17/8
-18/8
-17/8
Step-by-step explanation:
10( x + 1) = 2 x-7
10x + 10 = 2x - 7
10 + 7 = 2x - 10x
17 = - 8x
x = -17 /8
Answer:
Hiya There....!!!
______________________
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = − 17 /18Decimal Form:
x = − 2.125
Mixed Number Form:
x = − 2/ 1 8
_______________________
“To forgive is wisdom, to forget is genius. And easier. Because it's true. It's a new world every heart beat.”
― Joyce Cary, The Horse's Mouth
__________________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
i need help with number 5
Use the distributive property to multiply 4,345 x 2
Answer:
8690
Step-by-step explanation:
there is no distributive property just multiply using a regular calculator
Add and simplify:
3 + 1
10 5
Answer:
I don't under stand the question can u write more clearly
Given that y = 11 cm and θ = 34°, work out x rounded to 1 DP.
Check the picture below.
whats .8421 rounded to the nearest tenth
Answer:
8420
weeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Figure F is a scaled copy of E.
What is length of each missing measurement.
Answer:
answer
Step-by-step explanation:
what are do u mean what is f and e explain properly and then people will tell u
Helppppp please quick
Answer:
a≥11
Step-by-step explanation:
Because the graph is 11 the minimum and there is no maximum, you can say that a can be equal to 11, or it can also be bigger than 11.
A hardware store mixed 7 gallons of red paint with every 11 gallons of blue paint to make purple paint. Which ratio of gallons of red paint to gallons of blue paint will make the same shade of purple paint?
Answer:
2 b + 6 r = 2 * 24
5 b + 3 r = 2 * 21 ... 10 b + 6 r = 84
subtracting equations (to eliminate r) ... 8 b = 36
solve for b , then substitute back to find r
A pipe that is 165 feet long is cut into three parts whose lengths are in the ratio 2 : 5 : 8. Find the length of the longest piece. Longest piece: 2 feet
Answer:
88 ft
Step-by-step explanation:
Let's say the shortest piece has length 2x, so the medium piece has length 5x and the longest piece has length 8x. Added together, they equal 165, so
2x + 5x + 8x = 165
15x = 165
divide both sides by 15 to isolate x
x = 11
8x = longest piece = 88 ft
A cube has a surface area of 54cm^2 Find the side length, x, of the cube
we know that the area of a cube is its side cubed
So, x^3 = 54(i think it should be 64)
x = 4 (if it is 64)
if it is 54 then we will take the cube root of 54
Answer:
3
Step-by-step explanation:
6a^2=54
a^2=54/6
a=root 9
a=3
If a batch of cookies uses
2
2
3
cups of sugar, then how much sugar is needed to make 5 batches of cookies
Answer:
13 1/3 cups of sugar
Step-by-step explanation:
Which of the following can be used to represent the complement of event X?
2nd X..
I hope that this is correct
Simplify the product.
(16+13)(12-2)
Answer:
290
Step-by-step explanation:
(16+13)(12-2)= 29 * 10 = 290
Answer:
290
Step-by-step explanation:
(16+13)(12-2)
29*10
290
A rectangle’s perimeter is 86in . Its length is 9in longer than its width. Use an equation to find the rectangle’s length and width.
Answer:
Step-by-step explanation:
Let width be x
So length would be x + 9
If perimeter is 86, then
2(l+b) = 86
2(x + x+9) = 86
4x + 18 = 86
4x = 68
X = 17
Check:
2(x + x + 9) = 86
2(17 + 17 + 9) = 86
2(43) = 86
86 = 86
Here you go
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
Step-by-step explanation:
a² + b² = c²
12² + b² = 15²
b² = 225 - 144
b² = 81
b = 9
What is 26% as a fraction in simplest form?
A. 26/100
B. 26/10
C. 6/25
D. 13/50
Answer:
it'd be d: 13/50 !!
Answer:
D. 13/50
Step-by-step explanation:
0.26 ⇔ 26/100 ⇔ 13/50
