Answer: $7.95
Step-by-step explanation:
95.40/12
= $7.95
Answer:
unit rate per book
= $95.40 ÷ 12 books
= $7.95 per book
how do i solve for this
Answer:
x = -4
Step-by-step explanation:
[tex] \frac{ \sqrt[3]{6x} }{ \sqrt[3]{2x + 5} } = 2[/tex]
[tex] {( \frac{ \sqrt[3]{6x} }{ \sqrt[3]{2x + 5} } )}^{3} = {2}^{3} [/tex]
[tex] \frac{6x}{2x + 5} = 8[/tex]
[tex]6x = 8(2x + 5)[/tex]
[tex]6x = 16x + 40[/tex]
[tex] - 10x = 40[/tex]
[tex]x = - 4[/tex]
[tex] \frac{ \sqrt[3]{6( - 4)} }{ \sqrt[3]{2( - 4) + 5} } = 2[/tex]
[tex] \frac{ \sqrt[3]{ - 24} }{ \sqrt[3]{ - 3} } = 2[/tex]
[tex] \sqrt[3]{ \frac{ - 24}{ - 3} } = 2[/tex]
[tex] \sqrt[3]{8} = 2[/tex]
7×3,012=7×(3,000+12)? Step by step
Answer:
Yes they are equal
Step-by-step explanation:
First we simplify the left side of the equation
7 x 3,012 = 21084
Next we simplify the right side of the equation. Using PEMDAS we know that we must add whatever is inside the parentheses first.
7 x (3,012)
We then multiply 7 x (3,012) = 21084
21084 = 21084
They are equal.
Select the correct answer. What does it mean when the correlation coefficient has a positive value? A. When x increases, y decreases, and when x decreases, y increases. B. When x increases, y increases, and when x decreases, y decreases. C. When x increases, y decreases, and when x is constant, y equals zero. D. When x increases, y increases, and when x is constant, y decreases.
when the correlation coefficient has a positive value , it means that when x increases , y increases and when x decreases , y decreases , the correct option is (b) .
in the question ,
it is given that
the value of correlation coefficient has a positive value .
it means that the variables have a direct relation with each other,
which means when one variable increases , the other variable also increases and when one variable decreases , the other variable also decreases ,
Therefore , the positive value of correlation coefficient means that When x increases, y increases, and when x decreases, y decreases.
The given question is incomplete , the complete question is
Select the correct answer. What does it mean when the correlation coefficient has a positive value?
(a) When x increases, y decreases, and when x decreases, y increases.
(b) When x increases, y increases, and when x decreases, y decreases.
(c) When x increases, y decreases, and when x is constant, y equals zero.
(d) When x increases, y increases, and when x is constant, y decreases.
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Pete's Convenience Store has a beginning inventory of 12 cans of soup at a cost of $.85 each. During the year, the store purchased 4 at $.95, 6 at $1.05, 7 at $1.35, and 8 at $1.50. By the end of the year, 18 cans were sold. Calculate (A) the number of cans of soup ending inventory and (B) the cost of ending inventory under LIFO, FIFO, and weighted average. (Round your final answers to the nearest cent.)
A) The number of unsold cans of soup (ending inventory) is 19.
B) The various costs of the ending inventory under LIFO, FIFO, and the weighted average are as follows:
Ending Inventory
LIFO $17.15
FIFO $25.65
Weighted average $21.47
How are the inventory methods different?FIFO assumes that the physical flow of goods sold should follow the chronological sequence of purchases or production.
LIFO assumes that the first goods acquired are the last to be sold.
The Weighted Average uses an average to determine the cost of ending inventory and the cost of goods sold.
Description Units Unit Cost Total
Beginning inventory 12 $0.85 $10.20
Purchases 4 $0.95 $3.80
Purchases 6 $1.05 $6.30
Purchases 7 $1.35 $9.45
Purchases 8 $1.50 $12.00
Total 37 $41.75
Sales 18
Ending inventory 19 (37 - 18)
Average cost = $1.13 ($41.75/37)
LIFO:
Ending inventory = $17.15 ($10.20 + $3.80 + 3 x $1.05)
Cost of goods sold = $24.60 ($41.75 - $17.15)
FIFO:
Ending inventory = $25.65 (4 x $1.05 + $9.45 + $12.00)
Cost of goods sold = $16.10 ($41.75 - $25.65)
Weighted Average:
Ending inventory = $21.47 (19 x $1.13)
Cost of goods sold = $20.34 (18 x $1.13)
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Rewrite 6/11 each as a multiplecation equation
Answer:
11 x 6
Step-by-step explanation:
please help if u can
Game Station 2: Amazing Race- Each team has to match 9 of the 20 banners with the word “Hello” in different languages with the 9 countries that speak that language
9/20
A. Determine the number of ways of selecting and matching nine banners with a country.
B. Determine the number of ways of selecting nine banners without having to match them with a
the number of ways of selecting and matching nine banners with a country is 36.
What is combination?
A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components
Given, 9 of the 20 banners with the word “Hello” in different languages with the 9 countries
Toatl ways for arranging the 9 banners will be 9C2
And as the matching nine banner with the country is 9/20
So the number of ways of selecting is 9c2 = 36.
Hence the number of ways to select and matching the banner is 36.
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Calculate and give the result as an irreducible fraction
please ;)
=9/7+7/3×-9/4
=[4/5-2]×[3/4-2/3]
In the fractions given 2/3 + 7/3 * -9/4 and (4/5 - 2) * (3/4 - 2/3) the results of the expressions are -55/12 and -1/10 respectively
FractionsA fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.
In the first expression;
2/3 + 7/3 * -9/4
Applying PEDMAS
2/3 + 7/3 * -9/4 = -55/12
In the second expression;
(4/5 - 2) * (3/4 - 2/3) = - 1/10
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Simplify the following
- 3x(-6-) X (-10)/ (-9)
The value of the expression, (-3x)(-6)*(-10)/(-9), after simplification is 20x.
According to the question,
We have the following expression:
(-3x)(-6)*(-10)/(-9)
Now, we will first solve the numerator of this expression.
We know that the multiplication of two negative integers always gives us the positive results.
So, the multiplication of -6 and -3x will give us the positive results.
18x*(-10)/(-9)
When two negative integers are in division then their results is also positive.
18x*10/9
Dividing 18 in the numerator by 9 in the denominator, we will get 2as the result:
2x*10
20x
Hence, the value of the expression, (-3x)(-6)*(-10)/(-9), after simplification is 20x.
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[tex]7*3^x=189[/tex]
5/9 of the animals in the pet show are dogs 3/5 of the dogs are poodles what fraction of the animals in the pet show are poodles
Answer:
1/3
Step-by-step explanation:
You want to know the fraction that are poodles when 5/9 of animals are dogs, and 3/5 of dogs are poodles.
SubstitutionWe can write the equations ...
dogs = (5/9)·(animals)
poodles = (3/5)·(dogs)
Using the first equation to substitute into the second, we get ...
poodles = (3/5)·(5/9)·(animals) = 3/9·animals = 1/3·animals
FractionThen the fraction that are animals is found by dividing by "animals":
poodles/animals = 1/3
1/3 of the animals in the pet show are poodles.
The equation c = 8m represents how many ice cream cones (c) are sold within a certain number of minutes (m) at a certain ice cream shop.
Determine the constant of proportionality.
8
1
one-eighth
16
The constant of proportionality in the equation c = 8m is 8.
What is a variation?A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.
since C = 8m is an equation and the relationship between c and m is direct.
It means that dividing both sides of the equation by m we have
C/m = 8m/m
c/m = 8
Therefore the constant of proportionality is 8
In conclusion the constant of proportionality for which c = 8m is 8.
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A square on a coordinate plane has one vertex at (0.5,1) and a perimeter of 6 units. If all of the vertices are located in Quadrant I, what are the coordinates of the other 3 vertice s?
The coordinates of the other 3 vertice s are; Vertex 2 = (0.5, 2.5)
Vertex 3 = (2, 1), Vertex 4 =(2, 2.5 )
What is perimeter?Its the sum of length of the sides used to made the given figure.
Given that the Perimeter, P = 6 units
The Perimeter of a square = 4s ; s = side length
6 = 4s
s = 6/4
s = 1.5 units
If Vertex 1 =(0.5,1) and all vertexes are located in Quadrant I
Vertex 2 = (0.5,1 + 1.5) =(0.5, 2.5)
Vertex 3 = (0.5 + 1.5 ,1) = (2, 1)
Vertex 4 = (2, 1 + 1.5) = (2, 2.5 )
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A ( x ) = 4 − ( x + 3 )^5
The solution for A(3) in the function when the function A(x) = 4 − (x + 3)⁵ is -772
How to determine the solution for A(x) in the function?From the question, we have the following equation that can be used in our computation:
A ( x ) = 4 − ( x + 3 )^5
To make the equation legible, we need to rewrite it
So, we have the following representation
A(x) = 4 − (x + 3)⁵
Also from the question, we have
A(3)
This means that the value of x is 3, and we calculate A(x) when x = 3
Substitute the known values in the above equation, so, we have the following representation
A(3) = 4 − (x + 3)⁵
So, we have the following equation
A(3) = 4 − (3 + 3)⁵
There are constants to add or subtract to both sides of the equation
However, there is no factor to multiply or divide from both sides of the equation
So, we have the following representation
A(3) = 4 − (6)⁵
Solving further, we have
A(3) = 4 − 7776
Evaluate the difference
A(3) = −7772
Hence, the solution is −7772
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Possible question
Given A ( x ) = 4 − ( x + 3 )^5, find A(3).
Solve the following proportion.
10/x = 6/15
x =
these are fractions.
Answer: 25
Step-by-step explanation:
10 6
/ = /
x 15
Just cross multiply, so do 10*15 = 6*x
10*15 = 6*x
150 = 6*x
Divide by 6 on both sides to isolate x.
25 = x
Answer:
x = 25
Step-by-step explanation:
first simplify the 6/15 by dividing 6 and 15 both with 3
10/x = 2/5
then multiply with 5x on both sides to get rid of the fraction:
5x * (10/x) = 5x * (2/5)
then shorten and solve:
5 * 10 = x * 2
50 = x * 2
25 = x
Please Help ASAP!
Which sequences of transformations result in the image being congruent to the pre-image? Select ALL correct answers
Question 1 options:
(x, y) → (-x, -y)
(x, y) → (x - 3, y + 2)
(x, y) → (3x, 3y)
(x, y) → (x, y - 10)
(x, y) → (-x, y)
(x, y) → (y, -x)
(x, y) → (x + 7, y - 2)
(x, y) → (-y, x)
(x, y) → (12x, 12y)
Answer: ima say something so hopefully this gets more noticed
Step-by-step explanation:
Are the linear expressions equivalent?
Drag the choices to the boxes to correctly complete the table.
3x-2(2,3x+2.5)=-1.6x-5
5-3(-1.6x-2.1)=4.8x-1.3
Comparing the linear expressions it shows that
3x - 2(2,3x + 2.5) = -1.6x - 5 - equivalent
5 - 3(-1.6x - 2.1) = 4.8x - 1.3 - not equivalent
How to check if the expressions are equivalentInformation given in the question include
3x - 2(2,3x + 2.5) = -1.6x - 5
5 - 3(-1.6x - 2.1) = 4.8x - 1.3
The equations are equivalent if the values on the left hand side of the equation is equal to the values on the right hand side of the equation
3x - 2(2,3x + 2.5) = -1.6x - 5
expending gives
3x - 4.6x - 5 = -1.6x - 5
-1.6x - 5 = -1.6x - 5
The expression above is equivalent
5 - 3(-1.6x - 2.1) = 4.8x - 1.3
expending gives
5 + 4.8x + 6.3 = 4.8x - 1.3
4.8x + 11.3 = 4.8x - 1.3
The expression above is not equivalent
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I-ready 3/8+n=7/8 n=
The required value of n is [tex]\frac{1}{2}[/tex] .
What is an algebraic equation?
The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.
Given, [tex]\frac{3}{8} +n=\frac{7}{8}[/tex]
or, [tex]n=\frac{7}{8}- \frac{3}{8}[/tex]
or, [tex]n=\frac{7-3}{8}[/tex]
or, [tex]n=\frac{4}{8} = \frac{1}{2}[/tex]
Hence, the value of n is [tex]\frac{1}{2}[/tex] .
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(2.9X10^5)X(3.4X10^3 in standard form
By using exponent, it can be verified that
[tex](2.9 \times 10^5) \times (3.4 \times 10^3)[/tex] in standard form is [tex]9.86 \times 10^8[/tex]
What are exponent?
Exponent tells us how many times a number is multiplied by itself.
For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]
Here, 2 is multiplied by itself 4 times.
If [tex]a^m = a \times a \times a ... \times a[/tex] (m times), a is the base and m is the index.
The laws of index are
[tex]a^{m + n} = a^m \times a^n\\a^{m - n} = \frac{a^m}{a^n}\\(\frac{a}{b})^m = \frac{a^m}{b^m}\\(ab)^m = a^m b^m\\a^0 = 1\\a^{-n} = \frac{1}{a^n}[/tex]
The given exponent is
[tex](2.9 \times 10^5) \times (3.4 \times 10^3)\\9.86 \times 10^{5+ 3}\\9.86 \times 10^8[/tex]
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At around noon the store roof appears to have stopped leaking, so an employee removes the bucket that was catching the water and does not replace it. Overnight it begins to rain again, and water starts leaking from the ceiling onto the floor, again creating a circular puddle. The hole in the roof is larger this time, so at each time, t, in minutes, the radius of the puddle increases by 0.25 cm. Write a composition of functions to represent the area of the puddle as a function of time.
S= 0.0625t² is the composition of a function to represent the area of the puddle as a function of time.
What is meant by area?The defined region represents the extent of the area on a plane or curved surface. The area of a planar region refers to the area of a shape or planar layer, while surface area refers to the area of an open surface or boundary of a three-dimensional object. Area can be defined as the amount of material of a certain thickness required to model the mold, or the amount of paint required to cover the surface in a single layer. This is a two-dimensional equivalent of the length of a curve or the volume of a solid..
We obtain the data from the equation.
The radius is increased by 0.25 Cm for each t min.
Assume that the puddle's area is S.
We all know that.
Circle area = πr²
So, S= πr²
S= π(0.25t)²
S= π0.0625t²
S= 0.0625πt²
Therefore, the area of the puddle is S= 0.0625πt²
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Data is collected about the number of wins and losses by a random sample of teams
with an animal mascot and those with another kind of mascot. The column relative
frequencies are shown in the table. Based on the information in the table, is there an
association between the variables? Explain your reasoning.
wins
losses
animal mascot
74%
26%
other type of mascot
49%
51%
The relative percentages of the column-wise frequencies are different, indicating that there is indeed an association between the variables.
What does association mean in data?A user-defined collection of related groups and items is referred to as a data association. It may include one or more groupings, as well as some, all, or neither of the items found inside those groups. It is helpful to initially identify various groups and components that you believe to be connected in some way before establishing Rules of Visibility.
Because of the differences in the relative percentages of the column-wise frequencies, there is a link between the variables. The animal mascot in the first column has 74% victories and 26% defeats. These percentages fluctuate greatly from one another. The other type of mascot, which similarly has a significant disparity between them, has 49% victories and 51% losses. The association between the variables is stronger the larger the difference.
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A metallurgist has one alloy containing 35% titanium and another containing 52% titanium. How many pounds of each alloy must be use to make 45 pounds of a third alloy containing 47% titanium
Step-by-step explanation:
% in calculations are always represented as hundredths, as 100% represents the whole, and n% = n/100 of the whole.
x = pounds of 35% alloy.
y = pounds of 52% alloy.
x + y = 45
0.35x + 0.52y = 0.47(x + y)
from the first equation we get e.g.
x = 45 - y
now we use this in the second equation :
0.35(45 - y) + 0.52y = 0.47((45 - y) + y)
15.75 - 0.35y + 0.52y = 0.47(45 - y + y)
15.75 + 0.17y = 0.47×45 = 21.15
0.17y = 5.4
y = 5.4/0.17 = 31.76470588... pound
x = 45 - y = 13.23529412... pound
he needs to use
31.76470588... pounds of the 52% alloy
13.23529412... pounds of the 35% alloy.
Find the slope of the following line.
4x - y = 0
Answer:
4
Step-by-step explanation:
slope intercept form is y=Mx+b
4x-y=0
+y. +y
4x=y
y=4x
So slope is 4
Hopes this helps please mark brainliest
There are three times as many orange pumpkins at the pumpkin patch as there are white pumpkins. What percentage of the pumpkins are white?
Responses
4%
4%
10%
10%
25%
25%
75%
The percentage of white pumpkin is 25%.
How to find the percentage of white pumpkin?In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100.
There are three times as many orange pumpkins at the pumpkin patch as there are white pumpkins.
Hence,
let
x = Number of white pumpkin
orange pumpkin = 3x
The percentage of pumpkin that are whiter can be calculated as follows:
The full percentage is 100%.
Therefore, percentage of white pumpkin is 25%.
Orange pumpkin = 25%(3) = 75
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There's a roughly linear relationship between the number of times a species of cricket will chirp in one minute and the temperature outside. For a certain type of cricket, this relationship can be expressed using the formula T=34+0.3c
where T represents the temperature in degrees Fahrenheit and
c represents the number of times the cricket chirps in one minute. What is the meaning of the c-value when T=65?
A) The change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.
B) The expected temperature in degrees Fahrenheit if the cricket has chirped 0 times per minute.
C)The expected temperature in degrees Fahrenheit if the cricket has chirped 65 times per minute.
D) The number of times the cricket could be expected to chirp in one minute if it's 65 degrees F
The meaning of the c-value when T=65 is: The number of times the cricket could be expected to chirp in one minute if it's 65 degrees F
The correct answer is an option (D)
In this question, we have been given a linear relationship.
For a certain type of cricket, this relationship can be expressed using the formula T=34+0.3c,
where T represents the temperature in degrees Fahrenheit and
c represents the number of times the cricket chirps in one minute.
We need to interpret the value of c when T = 65.
T = 34 + 0.3c
65 = 34 + 0.3c
c = 103.33
c = 103.33 represents the number of times the cricket could be expected to chirp in one minute if it's 65 degrees F
Therefore, the meaning of the c-value when T=65 is: The number of times the cricket could be expected to chirp in one minute if it's 65 degrees F
The correct answer is an option (D)
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Find five consecutive odd integers if the sum of the first three integers is 3 more than the sum of the last two.
Answer:
The 5 consecutive odd integers are 11 , 13 , 15 , 17 , 19
Step-by-step explanation:
The Difference between any odd Integer and its consecutive Integer = 2
So let the 3rd Odd Integer be x
Then the 1st Odd Integer is x - 2
and the 2nd Odd Integer is x - 4
and the 4th Odd Integer is x + 2
and the 5th Odd Integer is x + 4
Since the Sum of the 1st three integers is 3 more than the sum of the last two
Then 1st + 2nd + 3rd = 4th +5th +3
Then (x) + (x - 2) + (x - 4) = (x + 2) + ( x + 4) +3
Then 3x - 6 = 2x + 9
subtract 2x from both sides
3x - 2x -6 = 9
x - 6 = 9
Add 6 for both sides
Then x = 9 + 6 = 15
So the 3rd odd Integer is 15
So the five consecutive odd integers are 11 , 13 , 15 , 17 , 19
ABCD is a rhombus. Solve y.
12yº.
A
y=
B
4x + 15
F
D
C
(4y − 1)º
7x+2
Here in the rhombus ABCD the value of y is 7.5.
What is rhombus?A rhombus is a unique kind of quadrilateral with four equal sides and perpendicular diagonals that cut the angles and one another in half.
So here 4x+15 = 7x+2 and
12y = 90.
To find the remaining values by first solving for each variable, then substituting as necessary.
4x+15=7x+2
15=3x+2
13=3x
13/3 = x
BC is 4x+15
= 4(13/3)+15
= 52/3 + 45/3
= 97/3
CD is 7x+2
= 7(13/3)+2
= 91/3 + 6/3 = 97/3
Then, find 12y=90 and y=7.5.
AFB is a 90° angle (12(7.5)).
BCF is a 4y-1 = 4(7.5)-1 = 29 angle.
Because the diagonal cuts the angle in half, angle BCD is equal to 58. Angle ABC thus becomes 180-58 = 122.
Therefore the value of y is 7.5 .
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Give m || n, find the value of x.
The value of x, given the angles m and n can be found to be 30.
How to find the angles?Given the fact that m || n, it means that when m and n are added, they equate to 180 degrees.
The reason for this is that m and n are supplementary angles and such angles will always add up to 180 degrees.
This means the value of x can be found as:
180 = m + n
180 = (6x - 5 ) + ( x - 25 )
180 = 6x + x - 5 - 25
180 = 7x - 30
180 + 30 = 7x
x = 210 /7
x = 30
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(9x-5)°
(6x+20)º
What’s the value of x
The value of x is=-1
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
(9x-(5)+(6x+20))=0x-5+(6x+20)determining9x+(6x+20)-5We get rid of parentheses9x+6x+20-5We add all the numbers together, and all the variables15x+15Back to the equation:+(15x+15)15x=-15x=-15/15x=-1hence,The value of x is=-1
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In right triangle ABC, altitude CD with length h is drawn to its hypotenuse. We also know AD = 12 and DB = 3. The scale factor of triangle ADC (pre-image) to triangle CDB (image) is . Express answer in the form of a simplified fraction.
The Scale factor of ΔADC to ΔCDB is 2 .
In the question ,
a right triangle ABC is given (the figure is shown below )
h is the length of the altitude , AD = 12 , DB = 3 ,
to find the scale factor , we first need to find the value of h ,
since triangles ADC is similar to triangle CDB ,
we have , CD / AD = DB / CD
on cross multiplication , we get
CD² = AD × DB
CD² = 12 × 3 = 36
CD = 6
For the scale factor we divide the length of the original triangle ADC with the length of the image triangle CDB .
we get
Scale factor = AD / CD
= 12/6
= 2
Therefore , The Scale factor of triangle ADC to triangle CDB is 2 .
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Find the quotient.
12a² - 3
ба - 3
Enter the correct answer.
ADO
?
DONE
Answer:
6a - 3
Step-by-step explanation:
Dividend: A number/expression that is divided by the divisor.
Divisor: The number/expression that divides the dividend.
Quotient: The result obtained by the division.
Remainder: The number/expression left behind.
Long division method
Divide the first term of the dividend by the first term of the divisor, and put that in the answer.Multiply the divisor by that answer, put that below the dividend.Subtract to create a new dividend.Repeat.The solution is the quotient plus the remainder divided by the divisor.
Given dividend:
12a² - 3Given divisor:
6a - 3[tex]\large \begin{array}{r}2a+1\phantom{)}\\6a-3{\overline{\smash{\big)}\,12a^2\phantom{))..)))}-3\phantom{)}}}\\{-~\phantom{(}\underline{(12a^2-6a)\phantom{)))))}}\\6a-3\phantom{)}\\-~\phantom{()}\underline{(6a-3)\phantom{}}\\0\phantom{)}\\\end{array}[/tex]
Therefore, the quotient is 6a - 3.