The result of diving 107 by 10⁻³ is (E) 107,000.
What do we mean by division?The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers. Addition, subtraction, and multiplication are the other operations.At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another. For example, if 20 apples are distributed evenly among four people, each receives five apples (see picture).So, we know that 10⁻³ is 0.001.
Now, 107/0.001 = 107,000.Therefore, the result of diving 107 by 10⁻³ is (E) 107,000.
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The correct question is given below:
The result of dividing 107 by 10^-3 is?
a. 10-4.
b. 102.5.
c. 1010.
d. 104.
e. 107,000
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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Write a decimal addition
problem that has an estimated sum
of 35.
100 POINTS!! Can someone please help me determine what im doing wrong on 1 and 2..
Answer: 1) m=12/7 2) y=(12/7)x
Step-by-step explanation:
C(0,0) D(7,12)
[tex]\displaystyle\\1)\ Slope=m=\frac{rise}{run} =\frac{y_D-y_C}{x_D-x_C} \\\\m=\frac{12-0}{7-0} \\\\m=\frac{12}{7}[/tex]
[tex]\displaystyle\\2)\ y=mx+b\ \ \ \ m=\frac{12}{7} \ \ \ \ C(0,0)\\0=\frac{12}{7} *0+b\\\\0=0+b\\\\0=b\\\\Hence,\\\\y=\frac{12}{7} x+0\\\\y=\frac{12}{7}x[/tex]
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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−|−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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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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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
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.
Was $15.60 now is $34.80 Percent increase or percent decrease
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
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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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.
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
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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A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mean?
The mean of a set of final scores from a recent outing is 50.77
Here,
A group of friends enjoys playing miniature golf together.
Here are a set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
We have to find the mean.
What is Mean?
The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Now,
Set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
Then, Mean = 39 + 41 + 44 + 50 + 54 + 56 + 56 + 56 + 61 / 9
= 457/9
= 50.77
Hence,
The mean of a set of final scores from a recent outing is 50.77
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The larger of two numbers is 17 more than the smaller number. The sum of the two numbers is 71.
Answer:
The smaller number is 27 and the larger number is 44
Step-by-step explanation:
Let x = the larger number
Let y = the smaller number
x + y = 71
x = y + 17 Substitute in y + 17 for x in the first equation.
x + y = 71
y +17 + y = 71 Combine the y's.
2y + 17 = 71 Subtract 17 from both sides of the equation
2y = 54 Divide both sides of the equation by 2
y = 27. Plug 27 in for y for either of the two original equation to find x
x + y = 71
x + 27 = 71 Subtract 27 from both sides of the equation
x = 44
Jenna alone takes x days to finish a project kelly alone takes 3 days more than jenna alone to finish the project. if they together take 2 days to finish the project, find the value of x.
The value of x is 3 days.
Here,
Jenna alone takes x days to finish a project.
Kelly alone takes 3 days more than Jenna alone to finish the project.
They together take 2 days to finish the project.
We have to find the value of x.
What is Mathematical expression?
Mathematical expression is a way where calculations and analytical processes should be observed.
Now,
Jenna alone takes x days to finish a project.
Hence, Jenna complete work in 1 day = 1/x work
Kelly alone takes 3 days more than Jenna alone to finish the project.
That is, x + 3 days.
Hence, Kelly complete work in 1 day = [tex]\frac{1}{x+3}[/tex] work
They together take 2 days to finish the project.
Hence, They together complete a work in 1 day = 1/2 work.
To find the value of x we use the formula of work word problem as;
[tex]\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3[/tex]
Since, The value of x = -2 is not possible (because days are not shown in negative sign).
Hence, The value of x is 3 days.
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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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A.)6.5 ft²
B.)13 ft2
C.)78 ft²
D.)156 ft2
The given triangle is 6.5 ft2.
Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle. Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.
The given triangle can be redraw as
Area of the rectangle is (39/2) × 48 (in)2 = 936 in2
1 ft = 12in
1/12 ft = 1in
(in)2 = (1/12)2 (ft)2
= 1/144 (ft)2
936 (in)2 = 936 × 1/144 (ft)2
=6.5 (ft)2
Hence, the given triangle is 6.5 ft2.
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A white tailed deer can sprint up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile.
Answer:
The American bison is 10 miles per hour faster. It can run at 40 miles per hour.
Step-by-step explanation:
See the picture for the conversion. I used unit multiplies to change feet to miles and seconds to minutes.
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
Will give brainliest
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
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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Nigel 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.
Your welcome <3
. 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
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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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?
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
Identify the coefficients and constants in the following
expressions: 3 + 7x
Answer:
Answer
Step-by-step explanation:
3 is the constant since there is no variable beside it, and 7 is the coefficient because there is a variable beside it.
