Your balance sheet shows $6,400 worth of inventory in hair products. Items are recorded in inventory at cost, and the average cost per unit is $2.43. How many units of hair products do you have ?
Answer:
Units of hair products = 2634 units
Step-by-step explanation:
Given that:
Worth of products in the inventory = $6400
Average cost per unit = $2.43
Number of units = [tex]\frac{Total\ worth}{Per\ unit\ cost}[/tex]
Number of units = [tex]\frac{6400}{2.43}[/tex]
Number of units = 2633.73
Rounding off to nearest whole number = 2634 units
Hence,
Units of hair products = 2634 units
What is the value of x? Enter your answer in the box.
Answer:
Vertically opposite angles are equal.
Therefore,
[tex](4x + 7) = 5(x - 4) \\ 4x + 7 = 5x - 20 \\ \boxed{x = 27}[/tex]
x=27 is the right answer.Bill Ding plans to build a new hardware store. He buys a rectangular lot that is 50 ft by 200 ft, the 50-ft dimension being along the street. The store is to have 4000 ft2 of floor space. Construction costs $100 per linear foot for the part of the store along the street and only $80 per linear foot for the parts along the sides and back. To what dimensions should Bill build the store to minimize construction costs
Answer:
Length a = 59.62
Width b = 67.09
Cost = $10,734.4
Step-by-step explanation:
Solution:
Let a be the length and b be the width.
Area of the rectangle = a x b
a x b = 4000
Cost of the construction:
Cost = 100a + 80(a + 2b)
Cost = 100a + 80a + 160b
Cost = 180a + 160b Equation of the Cost of the construction.
Now, we need a and b to calculate the minimum cost required to build a lot.
From the area = a x b
we have,
a x b = 4000
b = 4000/a
Putting this equation into the cost of the construction.
We get:
Cost = 180a + 160 x (4000/a)
Cost = 180a + 640000/a
Differentiating with respect to a, we get
[tex]C^{'}[/tex] = 180 - 640000/[tex]a^{2}[/tex]
Putting [tex]C^{'}[/tex] = 0
180 - 640000/[tex]a^{2}[/tex] = 0
Taking LCM
180[tex]a^{2}[/tex] - 640000 = 0
Solving for a
180[tex]a^{2}[/tex] = 640000
[tex]a^{2}[/tex] = 640000/180
[tex]a^{2}[/tex] = 3555.55
Taking square root
a = 59.62
As we know,
b = 4000/a
putting the minimum value of a = 59.62
b = 4000/59.62
b = 67.09
So, now we have both the dimensions a and b
Putting the values of a and b we will get the cost of the construction.
Cost = 180a + 160b
Cost = 180(59.62) + 160(67.09)
Cost = $10,734.4
Hence, $10,734.4 will be the minimum cost of the construction for Bill Ding.
The basketball team wins 2 out of every 3 games. If there are 12 games in a season and half of the games are home, how many home games do they win?
Answer:
6
Step-by-step explanation:
how fast is a car going if it travels 15 meters in 5 seconds?
The car is traveling 3 meters second
Step-by-step explanation:
you divide 15 by 5 and you get 3
Answer:
3 m/s / 10.714 km/hr
Step-by-step explanation:
15m/5s
3m/1s
3m ÷ 1000 = 0.003 km
1s ÷ 3600 = 0.00028 hr
0.003 km/ 0.00028 hr
=10.714 km/hr approx.
PLEASE HELP I WILL GET DETENTION
Answer:
b) 12 is right answer
I hope it's helps you
Which statement must be true?
Answer:
Step-by-step explanation:
The answer is B.
For A. its not true, the two triangles show that XW and RS are equivalent.
For C. its not true, the two triangles show that m<R is equal to m<X, not m<R=m<Y.
For D, its not true, the two triangles show that m<X is equal to m<R, not m<R=m<Y.
The two triangles show SSA, which prove that the triangle is equivalent. So, then, corresponding sides are considered equivalent. As a result, you can assume that ST=WY.
A researcher is investigating the number of hours a given individual spends online on a given day during the current 2020 pandemic in the United States. She randomly selects 30 individuals and collects the following responses:
15 12 6.2 7 5.5 2 4 5 10 11 7 6 4 7 0
1 5 3.2 4 10 6 2 10 1.5 5.1 6.4 8 14 3 2
Required:
What calculation is preferred for the central tendency and spread if the distribution of values is skewed?
Answer:
Median
Step-by-step explanation:
Usually, in statistics when we have a skewed distribution, to calculate the central tendency and spread we usually calculate the median.
Thus, the calculations preferred in this case is median.
How do I do this please hurry!!!!!!
Answer:
put a closed dot on -10. then draw a right arrow from -10 to 11
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Whenever the sign is greater than, the line needs to go to the right. Moreover, when it also is equal to, the dot must be shaded. The dot also needs to be on -10 in this instance.
In short, shaded dot on -10 going to the right.
HELP PLEASE!!! ( VERY IMPORTANT TO LOOK AT THE PICTURE)
A. 9
B. 12
C. 15
D. 21
Answer:
c
Step-by-step explanation:
.......,..............
Match each parabola with the coordinates of its zeros.
Answer:
where are the coordinates here
Khalid is 56 years old. Cathleen is 6 years older than Brody. The sum of Cathleen's and Brody's ages is half Khalid's age. How old is Cathleen?
Answer:20
take 56 divide by 2 and add 6 to the out-com
Brian pays £275.23 a year on his car insurance
the insurance company increase the price by 2.6%
how much does the insurance cost now ?
give your answer rounded to 2DP
Answer:
282.39
Step-by-step explanation:
1. Find the amount of money it increases by
275.23 * 0.026 = 7.156
2. Add the amount it increases by to the original price
275.23 + 7.156 = 282.39
Final answer
282.39
3(t+1)=18 solve this probem with work
Answer:
t = 5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(t+1)=18
(3)(t)+(3)(1)=18(Distribute)
3t+3=18
Step 2: Subtract 3 from both sides.
3t+3−3=18−3
3t=15
Step 3: Divide both sides by 3.
3t/3 = 15/3
t = 5
Find an equation of the line perpendicular to the graph of 8x + 2y = 6 that passes
through the point of (2,3).
A bike rental is $3 for an hour. The rental for a day is 6 times as much. Caroline rents a bike for 1 day and 2 hours. Which equations could you use to find how much money, m, Caroline spends on a bike rental?
A. m = (6 X 3) + (2 × 3)
B. m= (6 X 1) + (2 × 3)
C. m = (6 × 2) × (3 × 3)
D. m=(3 × 6) + (3 X 2)
E. m = (1 × 6) + (3 × 2)
Answer:
A
Step-by-step explanation:
A day ist 6x3$
+
2hours 2*3$
The total money Caroline spend is m = (6 X 3) + (2 × 3).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
A bike rental is $3 for an hour.
The rental for a day is 6 times as much.
Caroline rents a bike for 1 day and 2 hours.
so, For m money, Caroline total spend
m = (6 x 3) + (2 x 3)
Learn more about equation here:
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-4/9 (27-18)? i need some clarification and help on this question please
Answer:
-4
Step-by-step explanation:
-4/9 (27-18) =
Do the parentheses first.
= -4/9 (9)
= -36/9
= -4
I will give brainiest to whoever answers correctly !!
will mark brainliest if help
Answer:
2 Gallons (J/D)
Step-by-step explanation:
First you add all the cups together, which is 32, and then knowing that there is 16 cups in a gallon you divide 32 by 16 and that is 2!
I hope this helps, and have a nice day! :)
Choose a point on the terminal side of theta theta= 5pi/4
Answer:
Step-by-step explanation:
If AB + BC = 24 and AB = 10, then 10 + BC = 24 is an example of the?
Symmetric Property
Substitution Property
Addition Property
Reflexive Property
Given that,
AB + BC = 24 and AB = 10, then 10 + BC = 24.
To find,
The above expression is an example of what?
Solution,
We have,
AB + BC = 24 ....(1)
and
AB = 10
Substitute AB = 10 in equation (1).
10+BC=24
BC = 24-10
BC = 14
Therefore, we have used Substitution Property. Hence, the correct option is (2).
Mrs kofi sold an article for £7.50 instead of £ 12.75. calculate her percentage error correct to one decimal place
A square has a side length of 36 fr. This square is dilated by a scale factor of 2/3 to create a new square. What is the side length of the new square?
Answer:
The side length of the new square is 24 ft.
Step-by-step explanation:
Dilations
A dilation is a transformation that produces a new image that is the same shape as the original but of a different size.
A dilation stretches or shrinks the original figure. To describe a dilation it's usually included the scale factor (or ratio) and the center of the dilation.
We have a square with a side length of 36 ft. When this square is dilated by a scale factor of 2/3, the new square will have a side length of 36*2/3= 24 ft.
The side length of the new square is 24 ft.
Answer:
24 feet
Step-by-step explanation:
got it right on ttm :)
Eric Bella Joan or Maya PLEASE HELP
Using long division, what is the quotient of 3x^4 + 20x^3 + 14x^2 + 17x + 30 and x + 6 ?
Answer: D
The first: (x+6)(3x3+2x2+2x+5)
The second:
factor x+6
Cannot factor
Step-by-step explanation: hope this help
The quotient is [tex]3x^3+2x^2+2x+5[/tex]
The correct answer is an option (D)
What is polynomial?"A mathematical expression which is composed of variables, constants and exponents, that are combined using the mathematical operations."
What is long division?"It is a method for dividing one large degree polynomial number into smaller degree polynomials."
What is quotient?"It is the result of the division of a polynomial by any other polynomial."
For given question,
We have been given polynomials [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] and [tex]x+6[/tex]
We need to find the quotient when [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] is divided by x + 6.
Using long division the division of [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] and [tex]x+6[/tex] is shown below.
Therefore, the quotient is [tex]3x^3+2x^2+2x+5[/tex]
The correct answer is an option (D)
Learn more about the long division here:
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Which of the following describes a situation for finding volume?
A) The amount of cereal inside a cereal box
B) The amount of space a garden takes up in the backyard
C) The total square feet of a kitchen floor
D) The amount of floor space that a rug covers
Answer:
A) The amount of cereal inside a cereal box.
Hope this helps
To solve the problem we must know about the volume.
What is Volume?Volume is described as the total amount of space taken by an object. It is a scalar quantity and it is 3 dimensional.
The amount of cereal inside a cereal box has volume.
As we know that the cereal box has space inside to hold something therefore, the cereals or something can be put inside this that will make the space inside the box. Also, the box has length, breadth, and height, therefore, it is 3 dimensional.
Hence, the amount of cereal inside a cereal box has volume.
Learn more about Volume:
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Which inequality is NOT true if y = -5?
A 2y - 10 > 13
B
- 14 + 6y < 8
C3y +9> -15
D-24 - 4y <-3
Answer:
b
Step-by-step explanation:
6) The quotient of seven and a number. added to ten
w
Answer:
x+10 = x + 11
what is the volume of a object whose disney is 10.5 gml and has a mass of 100 gr
Answer:
V = 9.52381 L
Explanation:
V= mass/density
V=100/10.5
-4x-y=24
Complete the missing value in the solution to the equation.
Answer: x is -6
Step-by-step explanation:
