After the solution, the answer to the given fraction [tex]-3\frac{5}{6} *4\frac{1}{2}[/tex] is 9.75.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. There are three major types of fractions in mathematics. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator.So, [tex]-3\frac{5}{6} *4\frac{1}{2}[/tex]:
[tex]-3\frac{5}{6} *4\frac{1}{2}[/tex](-18+5)/6 × (8+1)/2-13/6 × 9/2117/12= 9.75Therefore, the solution of the given fraction is 9.75.
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A dressmaker measures a length of fabric as 600m correct to the nearest 5 meters.
He cuts this into dress lengths of 9cm correct to the nearest meter.
Calculate the largest number of completer dress lengths he could cut.
The largest number of dress length that could be cut is 66.
How to find the largest number complete dress length he could cut?The dressmaker measures a length of fabric as 600 meters correct to the nearest 5 meters.
He cuts this into dress lengths of 9cm correct to the nearest meters.
The largest number of complete dress length he could cut can be calculated as follows:
largest number of dress length cut = 600 / 9
largest number of dress length cut = 66.6666666667
largest number of dress length cut ≈ 66
Therefore, the largest number of dress length that could be cut is 66.
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can someone help me please
Answer:
[tex]\textsf{1.} \quad f(x)+g(x) =8x^2+2x+3[/tex]
[tex]\textsf{2.} \quad f(x)-g(x)=-2x+1[/tex]
[tex]\textsf{3.} \quad h(x)+g(x)= 4x^2-x+5[/tex]
[tex]\textsf{4.} \quad h(x)-f(x)= -4x^2-3x+2[/tex]
[tex]\textsf{5.} \quad g(2)+f(x)= 4x^2+23[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=4x^2+2\\g(x)=4x^2+2x+1\\h(x)=-3x+4\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
Question 1
Add function f(x) and function g(x) together:
[tex]\begin{aligned} \implies f(x)+g(x) & = (4x^2+2)+(4x^2+2x+1)\\& = 4x^2+2+4x^2+2x+1\\& = 4x^2+4x^2+2x+2+1\\& =8x^2+2x+3\end{aligned}[/tex]
Question 2
Subtract function g(x) from function f(x):
[tex]\begin{aligned} \implies f(x)-g(x) & = (4x^2+2)-(4x^2+2x+1)\\& = 4x^2+2-4x^2-2x-1\\& = 4x^2-4x^2-2x+2-1\\& =-2x+1\end{aligned}[/tex]
Question 3
Add function h(x) and function g(x) together:
[tex]\begin{aligned} \implies h(x)+g(x) & = (-3x+4)+(4x^2+2x+1)\\& = -3x+4+4x^2+2x+1\\& = 4x^2-3x+2x+4+1\\& = 4x^2-x+5\end{aligned}[/tex]
Question 4
Subtract function f(x) from function h(x):
[tex]\begin{aligned} \implies h(x)-f(x) & = (-3x+4)-(4x^2+2)\\ & = -3x+4-4x^2-2\\ & = -4x^2-3x+4-2\\ & = -4x^2-3x+2\end{aligned}[/tex]
Question 5
Add function g(x) when x = 2 to function f(x):
[tex]\begin{aligned} \implies g(2)+f(x) & = \left(4(2)^2+2(2)+1\right)+(4x^2+2)\\& = 4(4)+2(2)+1+4x^2+2\\& = 16+4+1+4x^2+2\\& = 4x^2+16+4+1+2\\& = 4x^2+23\end{aligned}[/tex]
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You invested some money in a start-up company, and now your investment has gained 60% and is worth $6,720. how much was your original investment?
Your original investment in a start-up company was $4200
Let you invested x dollars in a start-up company.
Now your investment has gained 60% and is worth $6,720.
We write above statement as a mathematical expression.
From given information, x + (60 percent of x) = 6720
So we get an equation,
x + (0.6 x) = 6720
We solve above equation for x.
1.6 x = 6720
x = 6720 / 1.6
x = 4200 dollars
This means, initially you invested $4,200
Therefore, your original investment in a start-up company was $4200
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I need help asap, its due tonight
Answer: compliment = (90-c)
supplementary = (180-c)
Step-by-step explanation:
Subtract -7a^2+3a-9 5a^2-6a-4
Answer:
I think that's the answer heh
Step-by-step explanation:
–3 [(8a−6a² + 9)+ (−10a−8+8a²)]
=−3−[8a−6a² + 9+ −10a− 8 + 8a²]
=−3−[(8a − 10a) + (−6a² + 8a² ) + (9 − 8)]
=−3−[−2a + 2a² +1]
=−3 + 2a − 2a² −1
= +2a − 2a² −4
=−2a² + 2a −4
30 points pls help
At his butcher shop, Mr. Howell sold 3.8 pounds or steak for $31.35. How does the steak cost per pound?
Show your work.
Answer:
He bought 3.8 pounds of streaks for 31.35$
Answer for steak cost per pound = 8.25$
Step-by-step explanation:
You have to divide 31.35 from 3.8.
31.35 ÷ 3.8
= 8.25
8.25 is how much the steak cost per pound.
If you multiply 8.25 x 3.8
It equals = 31.35.
Answer:
$8.25 per pound. See attached image.
Step-by-step explanation:
How to Do Long Division with Decimals
If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. Then move the decimal point in the number you're dividing the same number of places to the right.
Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.
Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.
What is an equation of the line that passes through the points (-2,-1) and (4,8)?
wered
Answer:
So from the general equation of line passing through two points is (y-y')=m(x-x') Where m is slope of the line and (x'y') be any any point out of these given two points. So, from the formula of slope m m (Y2 - Y1)/(x2-x1) So, m = 2-(-4)/(−2 − 1) m=-2 So equation of line will be (y-2)=-2(x+2) y-2=-2x-4 2x+y+2=0
Answer:
Step-by-step explanation:
(8 + 1)/(4 + 2)= 9/6 = 3/2
y + 1 = 3/2(x + 2)
y + 1 = 3/2x + 3
y = 3/2x + 2
How many solutions does this equation have?
13 + 6h = –11 + 6h
Answer:
No Solution
Step-by-step explanation:
13+6h= -11+6h
Bring 6h over to the left side of the equation and subtract it from the other 6h. You have to subtract because it's a positive number, and you must do the opposite operation.
6 - 6 = 0, so there are no solutions. Once h is proven to be 0, you can't do anything else.
Hopefully this helps!
If 6x + 15 = 27, what is the value of
2x +5?
Answer:
9
Step-by-step explanation:
6x+15=27
6x=27-15
6x=12
x=2
2x+5=(2)(2)+5
= 4+5
= 9
I need help pleaseeee how can i solve this?
Roderick wants a cell phone, but his parents have told him that he has to pay for the bill and the phone. The phone that he wants is $100, and his part of the service plan would be $35 each month.
Answer: wheres the answer choices
Step-by-step explanation: good for roderick
A+different+class+has+285+students,+and+58.6%+of+them+are+men.+how+many+men+are+in+the+class?
Approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.
According to the given question.
Total number of students in the class is 285.
And 58.6 percent of the total students are men.
As we know that, a relative value indicating hundredth parts of any quantity is called a percent.
Therefore,
the total number of men in the class
= 58.6 percent of 285
= (58.6/100) × 285
= 0.586 × 285
= 167.01
Hence, approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.
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zoe walks from her house to a bus stop that is 460 yards away. as zoe's distance from her house increases from 50 yards to 210 yards, her distance from the bus stop varies from incorrect yards to 250 correct yards.
Zoe travels 380 yards on foot from her home to the bus station. The distance between Zoe's home and the bus stop fluctuates from 250 yards to 410 yards when her distance from her home rises from 50 yards to 210 yards.
What is distance?Distance is the measurement of the separation between two points. Since distance is a scalar quantity, it solely cares about its measurement or amount. Distance is measured and often stated in terms of meters in SI units (m).
Given,
zoe walks from her house to a bus stop that is 460 yards
and zoe's distance from her house increases from 50 yards to 210 yards,
So,
d1 = 460 yards - 50 yards
= 410 yards
d2 = 460 yards - 210 yards
= 250 yards
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In the diagram below, AB is parallel to CD. What is the value of x?
Answer: C. 45°
Step-by-step explanation:
These two given angles are corresponding angles. Corresponding angles are always equal to each other. In other words, they are congruent.
x° = 45°
the diameter, in centimeters (cm), of each tree in a random sample of trees in a forest was measured. the histogram shown summarizes the diameters.
(A) The distribution consists of two clusters and a gap, which best describes the distribution.
What is a histogram?The AA histogram is an approximation of the distribution of numerical data. Karl Pearson was the first to coin the phrase. The first step in creating a histogram is to "bin" (or "bucket") the range of values, which means dividing the entire range of values into a series of intervals and then counting how many values fall into each interval. Bins are typically specified as non-overlapping, consecutive intervals of a variable. The bins (intervals) must be adjacent and are frequently (but not always) of equal size.So, in the given situation the distribution consists of two clusters and a gap, which best describes the distribution.
Therefore, (A) the distribution consists of two clusters and a gap, which best describes the distribution.
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The complete question is given below:
The diameter, in centimeters (cm), of each tree in a random sample of trees in a forest was measured. The histogram shown summarizes the diameters.
Which of the following is the best description of the distribution?
A. The distribution consists of two clusters and a gap.
B. The distribution is approximately normal.
C. The distribution is symmetric with a skew to the right.
D. The distribution is skewed to the left.
E. The distribution is uniform.
Given the figure below, find the values of x and z.
X=
Z=
(11x - 93)
H
116
X
Answer:
x = 19
z = 64
Step-by-step explanation:
Angles (11x - 93)° and 116° are vertical angles, so their measures are equal.
11x - 93 = 116
11x = 209
x = 19
Angles z° and 116° are a linear pair, so they are supplementary, and their measures have a sum of 180°
z + 116 = 180
z = 64
4 divided by 2,626
I need help
Answer:
0.0015232292460015
I think you mean 2,626/4
Then it is 656.5
Step-by-step explanation:
What you wrote is probably not what you wanted the bottom is
Answer:
656 remainder of 2
Step-by-step explanation:
Step-by-step explanation:
some friends decided to equally split the cost of gas on their trip. the expression 3g4 represents how much money each person had to pay in dollars for g gallons of gas. what does the expression 3g in the numerator represent?
The expression 3g in the numerator represent the total amount of money paid for the gallons of gas.
FractionGiven expression:3g / 4
where,
g = how much money each person had to pay in dollars for g gallons of gas3 = Number of gallons of gas4 = Number of friendsThe numerator is the upper value or top value in a fractionThe denominator is the lower value or bottom value in a fraction.Therefore, the expression 3g in the numerator represent the total amount of money paid for the gallons of gas.
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During dismissal time in the afternoon period at Hipercubo , 9 kids are dismissed every 3 minutes . Knowing that 81 kids study at this period , how long will it take for all the kids to have gone home ?
It will take 27 minutes for all the kids to have gone home
How long will it take for all the kids to have gone home?The given parameters are:
9 kids every 3 minutes
This can be represented as
9 kids = 3 minutes
Let the time spent by 81 kids be x
So, we have the following equation
81 kids = x
Rewrite the parameters as
9 kids = 3 minutes
81 kids = x
Cross multiply in the above equation
So, we have:
9 * x = 3* 81
Divide both sides by 9
x = 3 * 9
Evaluate
x = 27
Hence, it will take 27 minutes for all the kids to have gone home
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What is the value of the expression m2 + 3m when m =4
Answer:
44
Step-by-step explanation:
4 * 2 + 3 * 4 = 44
Answer: the answer is 20
m2 + 3m when m =4
4x2=8
3x4=12
8+12=20
Which choice is equivalent to the expression shown below?
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
Answer:
m
Step-by-step explanation:
Find the quotient of: 21.64 and 0.4
Based on the given parameters, the quotient of 21.64 and 0.4 is 54.1
What is quotient?The quotient of numbers involves dividing a number by another i.e. the division problem
A division problem is an expression or an equation that involves the quotients of numbers or polynomials i.e. the quotient of two numbers
How to find the quotient of 21.64 and 0.4?The numbers in the question are given as
21.64 and 0.4
The above numbers are decimal numbers, and the quotients can be calculated using a calculator
Express the above numbers as quotient of two numbers
So, we have
21.64/0.4
Next, we solve the above expression using a calculator
Using a calculator, we have the following equation
21.64/0.4 = 54.1
The above means that the quotient of 21.64 and 0.4 is 54.1
Hence, the required quotient of 21.64 and 0.4 is 54.1
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Talia has a square piece of blue glass with an area of 320 square centimeters. What is the greatest number of medium squares that Talia can cut from this piece?
The greatest number of medium squares that Talia can cut from this piece is 17. 89 centimeters
How to determine the numberFrom the information given, we have that;
The area of the square piece is 320 square centimeters.
It is important to note that the formula for area of a square is expressed as;
Area = a ²
Where a is the length of it's side
Let's substitute the value of the area in the formula
320 = a²
Take the square root of both sides
a = √320
a = 17. 89 centimeters
Thus, the greatest number of medium squares that Talia can cut from this piece is 17. 89 centimeters
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What is the decimal expansion of 8
15
Answer:
The result of decimal expansion of [tex]8/15[/tex] is [tex]0.533[/tex].
Step-by-step explanation:
First to convert [tex]8/15[/tex] into a decimal expansion, we just simply divide the value [tex]8[/tex] by [tex]15.[/tex]To divide the value we use simple divison method.Therefore the decimal expansion we get is [tex]0.533[/tex].Hence the decimal expansion by simple division of [tex]8/15[/tex] is [tex]0.533[/tex].
What is the length of one side if the area of a square is 16 m²
Answer:
s = 4 m
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length )
given A = 16 m² , then
s² = 16 ( take square root of both sides )
s = [tex]\sqrt{16}[/tex] = 4 m
Answer:
4m
Step-by-step explanation:
All the sides of a square are equal lengths. So 2 numbers that are the same must equal 16m^2.
A number times itself is known as a square number. The value of this square number is 16 m².
It can be shown like this:
a²= 16 m² or a×a = 16 m²
The reverse of squaring numbers is square root. To find the value of one side you can do √16. √16 = 4. We can check this by substituting (replacing) 4 in the place of 'a' to see if the answer is 16.
a×a = 16 m²
4 × 4 = 16
Therefore, the length of one side of the square equals to 4m.
A professional basketball player needs to score more than 40 points in the last game of the season to win the scoring title. He only shoots 1-point free throws, X, and 2-point regular shots, y
Which combination is possible so the basketball player wins the scoring title?
A
B.
C.
D.
10 free throws, 10 regular shots
11 free throws, 11 regular shots
13 free throws, 14 regular shots
14 free throws, 13 regular shots
Answer:
A
Step-by-step explanation:
A i tunk
Which expression can be used to determine the slope of the linear function represented in the table?
0
5
4
9
a. StartFraction 9 minus 5 Over 4 minus 0 EndFraction
b. StartFraction 4 minus 0 Over 9 minus 5 EndFraction
c. StartFraction 5 minus 0 Over 9 minus 4 EndFraction
d. StartFraction 9 minus 4 Over 5 minus 0 EndFraction
Group of answer choices
d
c
a
b
Based on the linear function represented in the table, the expression to find the slope is a. StartFraction 9 minus 5 Over 4 minus 0 EndFraction.
How to find the slope?The slope of a linear function can be found by the formula:
= (Y₂ - Y₁) / (X₂ - X₁)
From the table, we see that:
Y₂ = 9
Y₁ = 5
X₂ = 4
X₁ = 0
The slope is therefore:
= (9 - 5) / (4 - 0)
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Find the value of the variable and Y Z if Y is between X and Z.
X Y=11 d, Y Z=9 d-2, X Z=5 d+28
For the given line segment, the value of variable d is 2 units and the value of YZ is 16 units.
Given that, Y is between X and Z.
We need to find the value of the variable and YZ.
What is a line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Given that, XY=11d, YZ=9d-2, XZ=5d+28
Here, the line segment XZ is sum of XY and YZ
That is, XZ=XY+YZ (∵Y is between X and Z)
⇒5d+28=11d+9d-2
⇒5d+28=20d-2 (Add like terms that is 11d+9d=20d)
⇒20d-5d=28+2
⇒15d=30
⇒d=2
So, YZ=9d-2
=9×2-2=18-2
=16
Therefore, the value of variable d is 2 units and the value of YZ is 16 units.
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I NEED HELP FAST‼️‼️‼️
What is the constant rate of change of the graph below?
20
10
3
2
Answer:
20
Step-by-step explanation:
Round 829.9 to the nearest whole number
Answer: 830
Step-by-step explanation:
Answer:
The nearest whole number is 830
Step-by-step explanation: