The fraction of the books in the library that are fiction and paperbacks is 18/35
How to calculate the fraction ?
3/5 of the books in the library are fiction
6/7 of the books are paperback
Therefore the fraction of the books that are fictions and paperbacks can be calculated as follows
3/5 × 6/7
= 18/35
Hence 18/35 of the books are fiction and paperbacks
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Here are four equations connecting x and y k is a constant
Answer:
A : Equation 4
B: Equation 1
C: Equation 3
D: Equation 2
Step-by-step explanation:
For direct proportionality, it means as one variable increases, the other increases. E.g. as X in eqn 4 increases y increases. Same thing applies to decrease. This is cause y and x are on the "same level". In eqn 2 and 3, y and x are NOT on the same level because of the division sign.
Hope this helps!
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The function f is defined by the following rule
f(x)=2x-1
Complete the function table
The table can be filled as,
-7
-5
-1
1
9
For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence) 3,9,15
The students in art class have blue cloth that's 60 inches long, glod cloth that is 48 inches long, and white cloth that is 72 inches long. They want to cut all the cloth into pieces of equal lenght for a project.
What is the greatest lenght of the pieces without having any cloth leftover? explain your reasoning.
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches are greatest lenght of the pieces by greatest common factor.
What does "largest common factor" mean?
A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four.a. As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.
First we will factor out all three numbers completely
60 = 2 × 2 × 3 × 5
48 = 2 × 2 × 2 × 2 ×3
72 = 2 × 2 × 2 × 3 × 3
The common factors are: 2, 2 and 3
Thus the GCF = 2 × 2 × 3 = 12
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
b. For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So
Number of pieces for blue cloth = 60/12 = 5
Number of pieces for gold cloth = 48/12 = 3
Number of pieces for white cloth = 72/12= 6
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−|−5⋅(−7)| simplified
The answer to this question is:
−|−5⋅(−7)| = −35
The non-negative quantity of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, the number 5 has a value of 5 and an absolute value of 5.
So, here first we have to solve the expression written inside the modulus and then the remaining part.
−| −5⋅(−7) | = −| −5*(−7) |
= −| 35 |
The absolute value of | 35 | is non-negative value of 35
| 35 | = 35
So, −| −5⋅(−7) | = −| 35 | = −35
Therefore, −|−5⋅(−7)| = −35
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Help me please
Two step equation.
1. -15 = -4m + 5
2. 10 - 6v = -104
3. 8n + 7= 31
4. -9x - 13 = -103
5 and six are on the picture
Polygon L is a scaled copy of Polygon K
What is the value of J ?
The value of j in the scaled copy in the polygon is: 0.03.
How to Find the Sides of a Scaled Copy?When a figure is scaled, the corresponding dimensions of the new and original figures have a ratio that is the same because they are proportional to each other.
Polygon K and polygon L are similar polygons and therefore their corresponding side lengths are proportional. The ratio below would be created:
j/0.5 = 0.18/3
Cross multiply
j = (0.5 × 0.18)/3
j = 0.09/3
j = 0.03
Therefore, the value of j in the scaled copy in the polygon is: 0.03.
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Write a decimal addition
problem that has an estimated sum
of 35.
1. Suppose a model of the fish is 10 cm and the length of a fish in real life is 140 cm. What is the scale
factor?
It is scale factor at 1/14.
What does scale factor mean?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, by increasing each side by, say, 2, we can expand the size of a rectangle with sides of 2 cm and 4 cm.
The fundamental equation to determine a figure's scale factor is written as, Scale factor is equal to the difference between the dimensions of the new and old shapes.
based on the information provided,
Scale Factor = Fish Model Length / Fish Length in Real Line
scale factor =10/140
=1/14
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What is the value of the quantity negative one sixth cubed all raised to the power of negative 3?
10,077,696
1
−1
−10,077,696
The value of the expression is −10,077,696
How to evaluate the expression?The expression is given as:
negative one sixth cubed all raised to the power of negative 3?
Rewrite properly as:
(-1/6^3)^-3
Evaluate the exponent of 6 to 3
So, we have:
(-1/216)^-3
Apply the law of negative exponent
So, we have
(-216)^3
Evaluate the exponent
−10,077,696
Hence, the value of the expression is −10,077,696
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What property is (3+2) x 4 = 4 x (3+2)
Answer:
Commutative Property of Multiplication
Step-by-step explanation:
Hello!
(3+2) and 4 are factors of the multiplication equation. Flipping them around would still give the same answer.
This is the Commutative Property, specifically the Commutative Property of Multiplication.
Please help.
The diagram is placed on a coordinate plane in Quadrant 1, with the origin (0,0) at the intersection of North Street and Wilson Street.
Using linear function concepts, it is found that:
a) They intersect at (0,20).
b) They intersect at (14,0).
c) They intersect at (0,3).
d) The equation is: y = -10/7x + 20.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The intersections are the points where they cross, hence:
North and Main: (0,20).Wilson and Main: (14,0).North and New: (0,3).Main Street goes through points (0,20) and (14,0), hence the intercept is of b = 20 and the slope is found as follows:
(0 - 20)/(14 - 0) = -10/7.
Hence the equation is:
y = -10/7x + 20.
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A dangling modifier
defines a noun or verb somewhere in a sentence
does not clearly describe a word or phrase in a sentence
enhances a target word or phrase in a sentence
is a phrase loosely attached to the end of a sentence
Answer:
does not clearly describe a word or phrase in a sentence
Step-by-step explanation:
Not sure that this is math but...
Answer:
The answer is B
Step-by-step explanation:
B) does not clearly describe a word or phrase in a sentence
. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z
Enter your answer in the box. 42 BRAINLESS
Answer:
4
Step-by-step explanation:
replace x , y and z with the values given for them
12x - 3y + 4x - z
12(3) - 3(13) + (4)(3) - 5
36 - 39 + 12 - 5 = 4
Answer:it is 5
Step-by-step explanation:
i got it on the k12 test
how many 1/3 cups are in 2 cups
Answer:
6 1/3 cups are in 2 cups
Step-by-step explanation:
1/3 + 1/3 + 1/3 = 3/3 = 1 cup
+
1/3 + 1/3 + 1/3 = 3/3 = 1 cup
1 cup + 1 cup = 2 cups
Therefore it is 6 1/3 cups.
Which term best describes the geometric figure? Points A and B are connected by a line.
The best that describes the geometric figure is a line segment.
A line segment is a part of a line that connects two points which are considered to be its endpoints.
If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so The best describes the geometric figure is a line segment.
If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so that the best describes the geometric figure is a line segment.
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Stock Market At the beginning of the day the stock market goes up 30 1/2 points and stays at this level for most of the day. At
The
the end of the day the stock market goes down 80 1/4 points from the high at the beginning of the day. What is the total change
in the stock market from the beginning of the day to the end of the day?
The total change in the stock market is points.
(Type an integer, proper fraction, or mixed number.)
The total change in the stock market from the beginning of the day to the end of the day is -49.75.
According to the statement
We have to find that the change in the stock market.
So, For this purpose, we know that the
The change is the difference between the current price and the last trade of the previous day.
From the given information:
At the beginning of the day the stock market goes up 30 1/2 points and At
The end of the day the stock market goes down 80 1/4 points.
Then
Stock market goes up through points = 30 1/2 = 61/2
Stock market goes down through points = 80 1/4 = 321/4
Then
Change = +61/2 - 321/4
Change = +30.5 - 80.25
Change = -49.75
So, The total change in the stock market from the beginning of the day to the end of the day is -49.75.
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49x^2=-21x-2 quadratic functions
Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7
Step-by-step explanation:
Quadratic function:
In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.
Move terms to the left side
49[tex]x^{2}[/tex] =-21x-2
49[tex]x^{2}[/tex] -(-21x-2) =0
Distribute
49[tex]x^{2}[/tex] -(-21x-2) =0
49[tex]x^{2}[/tex]+21x+2=0
Use the quadratic formula
x=(-b±√[tex]b^{2}[/tex] -4ac ) / 2a
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
49[tex]x^{2}[/tex]+21x+2=0
let, a=49
b=21
c=2
Replace with values in this equation
X=(-b±√[tex]b^{2}[/tex] -4ac ) / 2a
Simplify
Evaluate the exponent
Multiply the numbers
Subtract the numbers
Evaluate the square root
Multiply the numbers
x=(-21±7) /98
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate
x=(-21+7) /98
x=(-21-7) /98
Solve
Rearrange and isolate the variable to find each solution
x=-1/7
x=-2/7
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If a company has $340,000 worth of sales and $230,000 of costs, correct to 2 two significant figures, calculate the maximum and minimum relative profit to the appropriate accuracy.
Hence , the maximum and minimum relative profit to the appropriate accuracy are 0.33 and 0.31 respectively .
Upper and lower bounds square measure the most and minimum values that variety may are before it had been rounded. they will even be referred to as limits of accuracy.The higher and lower bounds is written victimization error intervalsIt is given that p=(s-c)/s......(1) and sales = $340,000 and cost = $230,000
Putting s = $340,000 , c = $230,000
p = 340,000 - 230,000 / 340,000
p = 110000 /340,000
p = 0.3235
p = 0.32
The largest variety which will round off to relinquish 0.32 is 0.33 therefore we are saying that 0.33 is that the edge.
The smallest variety which will gather to 0.32 is 0.31 this is often the edge.
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The complete question is given below :
To determine whether a business is making enough profit, the following formula is used p=(s-c)/s where P is relative profit, S is sales and C is costs. If a company has $340 000 worth of sales and $230000 of costs, correct to 2 significant figures, calculate the maximum and minimum relative profit to the appropriate accuracy.
The Bells are adding a new room to their house. The room will be a cube with a volume of 4096 ft^3. They are going to put in hardwood floors, and the contractor charges $10 per square foot. How much will the hardwood floors cost?
Which length of time is between 10.55 pm and 1.20 am?
A 1h 25 min
B 2h 15 min
C 2h 25 min
D 3h 25 min
From 10:55 pm to 11:00 pm, 5 minutes have elapsed.
From 11 pm to 12:00 pm, 60 minutes have elapsed, and from 12:00 pm to 1:00 am, another 60 minutes have elapsed, from 1:00 am to 1:20 am, 20 minutes have elapsed plus.
x = 5m ➕ 60m ➕60m ➕ 20 mx = 145 minutesIn the 145 minutes, there are 2 hours and 25 minutes.
Answer: From 10:55 pm to 1:20 a.m there is a time period of 2 hours and 25 minutes. Correct alternative is "C".
SkandarNigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.
A triangle has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.
Given the angles in the diagram, who is closer to the treasure chest and why?
Nigel is closer because his distance to the chest is opposite the larger angle.
Mia is closer because her distance to the chest is opposite the smaller angle.
Nigel is closer because his distance from the chest is 100 meters.
Mia is closer because her distance from the chest is 100 meters.
Answer:Mia is closer because her distance to the chest is opposite the smaller angle. Nigel is closer because his distance from the chest is 100 meters
Step-by-step explanation:
Answer:
B. Mia is closer because her distance to the chest is opposite the smaller angle.
Step-by-step explanation:
The answer is
B. Mia is closer because her distance to the chest is opposite the smaller angle.
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Rubén put an empty cup underneath a leaking faucet after 1 1/2 hours Ruben had collected 1/4 cup of water. What is the rate in cups per hour at which the water is leaking from the faucet
The rate of water leaking from the faucet is 0.167 cups per hour.
What is defined as the flow rate?The volume of fluid which flows through with a given cross-sectional unit of time is defined as flow rate.The volume per time unit offered to the flow of gases or even other fluid substances that emerge from an orifice, pump, turbine, or pass through a conduit or channel is referred to as flow rate.For, the given question;
Divide the amount of water accumulated by the number of hours to find the rate that the water is leaking out from faucet.
Let 'r' be the flow rate.
The formula for flow rate is;
Flow rate = volume / time
r = 0.25 cup / 1.5 hours
r = 0.167 cup/hour
As a result, the rate of water leaking from faucet is roughly equivalent to 0.167 cup/h.
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Was $15.60 now is $34.80 Percent increase or percent decrease
please help !! lots of points (35)
Answer: A= 2, B= −2, C= −2
Step-by-step explanation:
A = −1^2 −3 (−1) −2
= 1 + 3 -2 = 2
A = 2
B = 0^2 −3 (0) −2
= 0 − 0 − 2 = −2
B = −2
C = 3^2 −3 (3) −2
= 9 − 9 − 2
C = −2
Answer:
A = 2
B = -2
C = 16
Step-by-step explanation:
Plug in the numbers into the equation.
y = x^2 - 3x - 2
y = -1(-1) - 3 (-1) - 2
y = 1 + 3 - 2
y =2
y = 0^2 - 3(0) - 2
y = 0 - 0 - 2
y = -2
y = 3^2 - 3(3) - 2
y = 9 - 9 - 2
y = -2
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answer:
3/4
explanation:
the side lengths of preimage abcd are all four units, whereas image abcd's lengths are all three. from this, we can surmise the scale factor is 3/4.
how to calculate scale factor:
scale factor = dimension of the new shape ÷ dimension of the original shape
point c has a weight of 3, and point E has a weight of 5
need help with number 3 as well please
Using the weighted mean, the coordinates of P when point c has a weight of 3, and point E has a weight of 5 is of P = -1.77.
What is the weighted mean?The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
For this problem, the points and weights are given as follows:
D = 2 has a weight of 3.B = -6 has a weight of 9.A = -9 has a weight of 2.C = -1 has a weight of 3.E = 6 has a weight of 5.Hence the weighted mean is given as follows:
P = (2 x 3 - 6 x 9 - 9 x 2 -1 x 3 + 6 x 5)/(3 + 9 + 2 + 3 + 5) = -1.77.
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For the women age 18-24 in hanes2, the average height was about 64.3 inches; the sd was about 2.6 inches. using the normal curve, estimate the percentage of women with heights
Z = 0.65 for a height of 66 inches.
What is Normal Probability Distribution?The most common continuous probability distribution is the Normal (or Gaussian) distribution. As the curve approaches zero on either side of the mean, the function calculates the likelihood that an event will fall between any two real number limits. The area beneath the normal curve is always one.To find Normal Probability Distribution:
The z-score formula can be used to solve normal distribution problems.The z-score of a measure X in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:[tex]Z=\frac{X-\mu}{\sigma}[/tex]The Z-score indicates how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the probability that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the probability that the measure's value is greater than X.The average height was approximately 64.3 inches, with a standard deviation of approximately 2.6 inches.It means: [tex]\mu=64.3, \sigma=2.6[/tex]66 inches :
The z-score for a 66-inch height is:[tex]\begin{aligned}&Z=\frac{X-\mu}{\sigma} \\&Z=\frac{66-64.3}{2.6} \\&Z=0.65\end{aligned}[/tex]Therefore, Z = 0.65 for a height of 66 inches.
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The complete question is given below:
For the women aged 18-24 in HANES2, the average height was about 64.3 inches; the SD was about 2.6 inches. Express each height in standard units. (Decimal form; two places after decimal.) 66 inches:
13. kara walks five days each week. this week she walked 7/8 mile on monday, 3/5 mile on tuesday, 4/10 on
wednesday, 1/10 mile on thursday, and 9/10 mile on friday. use benchmark fractions to estimate the total
distance kara walked this week. explain your reasoning.
The total distance, in miles, that kara walked at the park this week is 57/20.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that kara walks five days each week. this week she walked 7/8 mile on monday, 3/5 mile on tuesday, 4/10 on wednesday, 1/10 mile on thursday, and 9/10 mile on friday.
Now, in order to find the total distance, in miles, that kara walked at the park this week.
kara walked on Monday = 7/8
kara walked on Tuesday = 3/5
kara walked on wednesday = 4/10
kara walked on thursday=1/10
kara walked on friday= 9/10
Now, to get the total distance in miles by adding both the miles she walked this week:
7/8 + 3/5 +4/10 + 1/10 + 9/10
35/40 + 24 / 40 + 14/10
59/40 + 14/10
114/40
57/20
Therefore, the total distance, in miles, that kara walked at the park this week is 57/20.
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Error Analysis ( PLS I NEED THIS ANSWERD TODAY! :(
Mr.Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some bracelets that cost $4.50 each, including tax. Write an equation to determine x, the maximum number of bracelets Mr.Gonzales could buy. Solve the equation to determine the number of bracelets Mr.Gonzales could buy.
Show your work.
42.50 - 29= 13.5
13.5÷4.50=3
Answer: 3
Solve the problem correctly.
Explain, in complete sentences, the error(s) made. In your explanation, make sure to include how you can fix there error(s), how you could have checked that the answer was incorrect, and diagram/drawing yo explain your thinking.
The maximum number of bracelets Mr.Gonzales could buy is 3
How to write an equation to determine x, the maximum number of bracelets Mr.Gonzales could buyThe given parameters are:
Budget = $42.50
Shirt = $29
Bracelet = $4.50 each
Represent the number of bracelets with x
So, we have
Shirt + Bracelet * x = Budget
This gives
29 + 4.50x = 42.50
Evaluate the like terms
4.50x = 13.5
Divide both sides b 4.50
x = 3
Hence, the maximum number of bracelets Mr.Gonzales could buy is 3
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