Casey is correct and he will get the correct solution.
We have given that,
ROBERT CASEY
5 1/8+ 2 1/3 = 7 1/2 -4 1/2+ 6 3/4= 2 1/4
Robert's 5 1/8 + 2 1/3 = 7 1/2 is wrong because if 5+2 = 7, I would have to change the denominator of both fractions so they are both the same.
What is the equation?A statement that the values of two mathematical expressions are equal.
The denominator would have to be 24.
That would make the fractions 3/24 and 8/24.
If you added them together, it would not be able to simplify to 1/2.
Casey is correct.
-4 1/2 + 6 3/4 = 2 1/4 is correct
because 4 - 6 = 2.
In order to make the fractions have the same denominator, you would have to multiply -1/2 by 2 on both numerator and denominator which would equal -2/4.
Now add -2/4 and 1/4 and you get 1/4.
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Based on the work provided, write the dividend as a product of two factors
Answer:
x4+2x3+x2+5x+b=x-2x3+x+3
Step-by-step explanation:
What are the surface areas of these two prisms
In a class of 25 students, 13 have a brother and 9 have a sister. There are 7 students who do not have any siblings. What is the probability that a student chosen randomly from the class has a brother and a sister?
Answer:
Step-by-step explanation:
Discussion
9 with a sister
13 with a brother
7 with neither.
The total is 29 so you are counting some siblings twice. There are 29 - 25 students that have both, so 4 students have both.
P(brother and sister) = 4/25
P(brother and sister) = 0.16
Answer
P = 0.16
In which of the following functions would it be appropriate to use only positive integers for the domain? Select all that apply.
The function c(p) represents the cost for (P) people to attend the movies.
The function m(t) represents the miles driven over t hours.
The function t(m) represents the average high temperature for a given number of months.
The function p(w) represents the profit of a farmer who sells (w) whole watermelons.
The function (n) represents the number of person-hours it takes to assemble (n) engines in a factory.
Answer: The function c(p) represents the cost for (P) people to attend the movies.
The function t(m) represents the average high temperature for a given number of months.
Step-by-step explanation:
How many cubes with side lengths of 1/2 cm does it take to fill the prism.
Answer:
24 cubes
Step-by-step explanation:
You can figure this a couple of ways.
I usually find it easiest to figure in terms of the number of cubes each dimension represents. The vertical dimension (3/2 cm) is the length of 3 cubes; the front-back dimension (2 cm) is the length of 4 cubes, and the width (1 cm) is the length of 2 cubes.
The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.
a ball is kicked 26 m
ball starts at 26m
1st bounce = 13 m
2nd bounce = 6.5 m
3rd bounce = 3.25 m
4th bounce = 1.625 m
5th bounce = 0.8125 m
6th bounce = 0.40625 m
7th bounce = 0.203125 m
answer: 0.203125 meters
the circumference of a circle is 110 cm . find its area
Answer:
It's about 962.89 cm^2
Answer:
962.89cm^2
Step-by-step explanation:
So, in this question, you have to find the radius of the circle because the area of a circle = πr^2. So first, you find r^2, and to do that, you divide 110 by π and you get 35.0140874802, now divide that by two and you get 17.5070437401 and that is your radius. Now, you do 17.5070437401 to the power of 2 (17.5070437401^2) and you get 306.496580518. Now multiply that by π and you get 962.89.
brainliest p l z
Factor the polynomial completely. 2x^2-9x+7
The polynomial is a quadratic function, and the completely factored expression of 2x^2 - 9x + 7 is (2x -7)(x - 1)
How to factor the polynomial?The polynomial expression is given as:
2x^2 - 9x + 7
Expand
2x^2 - 9x + 7 = 2x^2- 2x - 7x + 7
Factorize the above expansion
2x^2 - 9x + 7 = 2x(x - 1) - 7(x - 1)
Factor out x - 1
2x^2 - 9x + 7 = (2x -7)(x - 1)
Hence, the completely factored expression of 2x^2 - 9x + 7 is (2x -7)(x - 1)
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The sum of two times a number and seven is five times the difference of a number and six. Solve for the variable then Round your answer to the nearest hundredths.
Answer:
4.33
Step-by-step explanation:
2N + 7 = 5N - 63N = 13N = 13/3N = 4.33In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=3 inches and b=1 inch, what is c? If necessary, round to the nearest tenth.
We are given with
a = 3 inches
b = 1 inch
and c = ?
So as it is a right triangle and a and b are for legs
also c is for hypotenuse
=> We can apply Pythagoras theorem
[tex]\:\bf\boxed{Pythagoras\: Theorem\: =>\: c \:= \:\sqrt{a²\: +\:b²}}[/tex]
=> [tex]\:\mathtt{\:c \:= \:\sqrt{(3)²\: +\:(1)²}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:\sqrt{9\: +\:1}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:\sqrt{10}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:3.16}[/tex]
Required nearest tenth number for hypotenuse = 3.2 inches
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
Find the volume and surface area of the trapezoidal prism.
Answer:
sa =45
vol = 6000.
I hope it helps. and if you can, give me the brainlist
The area of a rectangle is 99 ft2, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle.
Length: ft
5 ?
Width:
Answer:
[tex]Width = 11/2ft, Length = 18ft[/tex]
Step-by-step explanation:
I'm not sure this might be right, hope this is helpful!
Easy math pls help quick will give brainlest
Answer:
Problem 9: h(1/8) = 5/8
Problem 10: k = -5
Step-by-step explanation:
Problem 9:
[tex]h( \frac{1}{8} ) = 3( \frac{1}{8} ) + \frac{1}{4} = \frac{3}{8} + \frac{2}{8} = \frac{5}{8} [/tex]
Problem 10:
[tex] \frac{k - 3}{2} = - 4[/tex]
[tex]k - 3 = - 8[/tex]
[tex]k = - 5[/tex]
Find the missing number in the ratio table below.
11 22 33 44
9 18 27 ?
A: 38
B: 36
C: 35
D: 37
NO LINKS
Answer:
answer is B
Step-by-step explanation:
33/27 = 44/x
33x = 1188
x = 36
If for a particular one-to-one function f(2) = 13, what are the corresponding input and output
values for the inverse function?
Answer:
[tex]f^{-1}(13) = 2[/tex].
Step-by-step explanation:
For function [tex]f[/tex], the notation [tex]f(2) = 13[/tex] means that when the input to the function is [tex]2[/tex], the output would be [tex]13[/tex].
The inverse function of a one-to-one function [tex]f[/tex] is commonly denoted as [tex]\!f^{-1}[/tex].
The inverse function undoes the action of the original function. In this question, [tex]f[/tex] maps [tex]2[/tex] to [tex]13[/tex]. Thus, [tex]f^{-1}[/tex] would need to map [tex]13\![/tex] back to [tex]2\![/tex]. Therefore, [tex]f^{-1}(13) = 2[/tex] should be the corresponding input and output values.
Elizabeth started cutting the
grass at 1:05. She finished
cutting the grass at 2:27. How
long did it take Ellzabeth to cut
the grass?
Answer:
1 hour and 22 minutes
Step-by-step explanation:
2:27 finished and started at 1:05
does 4x^2=0 have 2 solutions
Answer:
it has only one solution x = 0
Step-by-step explanation:
4x² = 0
⇔ x² = 0 (4 > 0)
⇔ x = 0 (the formula: x² = 0 ⇔ x = 0)
Find the mean, median, mode, and range of the data set after you perform the given operation on each data value.
14, 7, 34, 29, 14, 6; multiply by 6
A. mean: 17.33, median: 14, mode: 14, range: 168
B. mean: 104, median: 84, mode: 84, range: 168
C. mean: 17.33, median: 84, mode: 84, range: 66
D. mean: 104, median: .4, mode: 14, range: 66
Answer:
A
Step-by-step explanation:
Median is the middle
Mode is the number you see the most
Add and divide for the mean
Subtract the lowest value from the highest value for the range
Inflation is causing prices to rise at a rate of 10% per year. For an item that costs $300 today, what will be in 4 years?
Answer:
I'd say 439.3!
Step-by-step explanation:
I'm so sorry if this is wrong!
Which of the following functions has an inverse that is not a function?
Answer:
[tex]f(x) = x(x - 1)[/tex]
Step-by-step explanation:
The inverse of a quadratic function is not a function.
How many different three-digit numbers can be written using digits from the set {3, 4, 5, 6, 7}
without any repeating digits?
Answer:
should be about 60
Step-by-step explanation:
What is area of the irregular figure below? 6in 4in 12in
Composite figures can be subdivided into standard shapes. The area of the considered composite shape is 112 sq. cm
How to calculate the area of a composite figure?Area of some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc is already derived.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
The missing image is attached below.
We can split this composite figure in two parts by extending the line CG to meed AE on the point D. It makes a square (top) and a rectangle(bottom) as shown in the right sided image.
Area of the figure = Area of the top square + Area of the bottom rectangle.
Finding area of the top figure ABCD:Length of AE = |AE| = 16 cm
|AE| = |AD| + |DE| = 16
|DE| = |GF| = 8 cm
Thus, we get:
|AD| + 8 = 16
|AD| = 8 cm
Assuming the sides AD and BC are parallel, and so as the pair of sides AC and BD, and adjacent sides are perpendicular, its a rectangle with length = width = 8 cm, so its a square of side length 8 inches.
Area of square ABCD of side length 8 inches = [tex]\rm side^2 = 8^2 = 16 \: cm^2[/tex]
Finding area of the bottom figure DEFG:Assuming opposite sides of DEFG are parallel to each other and adjacent ones are perpendicular, we get:
|DE| = |GF| = 8 cm
|EF| = |DG| = |DC| + |CG| = |AB| + |CG| = 8+8 = 16 inches
Thus, its a rectagle with dimensions of 8 cm by 16 cm.
Thus, its area is: [tex]\rm Length \times width = 8 \times 12 = 96 \: \rm cm^2[/tex]
Thus, area of the composite figure = 16 + 96 = 112 sq. cm.
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I need some help solving this problem as soon as possible please!
Choose the correct ordered pairs represented in the table. The following table gives per unit costs for furniture and
shows selling prices. The numbers represent hundreds of dollars.
Step-by-step explanation:
an ordered pair is always the combination of an input value and the corresponding output value.
so, it is all already written in the table :
(1, 1)
(2, 4)
(3, 9)
(4, 16)
(5, 25)
Answers:
The ordered pairs are:
(1,1)(2,4)(3,9)(4,16)(5,25)================================================
Explanation:
The top row represents the inputs, while the bottom row is the outputs.
Each ordered pair is of the form (input, output)
Each column represents a different ordered pair.
For example, the last column has the input 5 and output 25 to give the ordered pair (5,25)
Extra Notes:
Usually x is the input and y is the output. In this case, we have c as the input and f(c) as the outputThe function rule in this case is f(c) = c^2Hello, help me please))
Answer:
691/8-10/11Step-by-step explanation:
You can rewrite the given log expressions to express them in terms of ln(a), ln(b), and ln(c). Then substituting the given values will produce the value of the expression.
Or, you can define the variables 'a', 'b', and 'c' and let your calculator compute these directly.
__
1.[tex]\ln\left(\dfrac{a^4}{b^4c^{-2}}\right)=4\ln(a)-(4\ln(b)-2\ln(c))=4\cdot2-4\cdot3+2\cdot5=\boxed{6}[/tex]
2.[tex]\ln\left(\sqrt{b^{-2}c^4a^2}\right)=\dfrac{1}{2}\left(-2\ln(b)+4\ln(c)+2\ln(a)\right)=\ln(a)-\ln(b)+2\ln(c)\\\\=2-3+2\cdot5=\boxed{9}[/tex]
3.[tex]\dfrac{\ln(a^1b^2)}{\ln(bc)^2}=\dfrac{\ln(a)+2\ln(b)}{(\ln(b)+\ln(c))^2}=\dfrac{2+2\cdot3}{(3+5)^2}=\dfrac{8}{64}=\boxed{\dfrac{1}{8}}[/tex]
4.[tex]\ln(c^{-2})\left(\ln\dfrac{a}{b^{-3}}\right)^{-1}=\dfrac{-2\ln(c)}{\ln(a)-(-3)\ln(b)}=\dfrac{-2(5)}{2+3\cdot3}=\boxed{-\dfrac{10}{11}}[/tex]
_____
The applicable rules of logarithms are ...
ln(ab) = ln(a) +ln(b)ln(a/b) = ln(a) -ln(b)ln(a^b) = b·ln(a)ln(a) = b ⇔ a = e^bOf course, a square root is the same as a 1/2 power.
NEED HELP URGENTLY!!!!!
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 3x - 5 and g(z) = ²5 to
determine iff (z) andg(z) are Inverses of each other.
The functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 3x - 5
Here, g(x) is not given clearly.
But we can identify the given function as an inverse of each other.
Let's suppose the ordered pairs are:
[x, f(x)] and [x, g(x)]
The functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.
f(0) = -5 so for (0, -5) on the f(x) list then (-5,0) must be on the g(x) list
f(1) = -2 so for (1, -2) on the f(x) list then (-2, 1) must be on the g(x) list
f(2) = 1 so for (2, 1) on the f(x) list then (1, 2) must be on the g(x) list
Let's suppose:
g(x) = (x+5)/3
g(-5) = 0
g(-2) = 1
g(1) = 2
So the ordered pair (-5, 0), (-2, 1), and (1, 2) are in the list of g(x).
Thus, the functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.
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The Venn diagram shows the number of employers who ranked skills important for careers in their field.
C represents communication, T represents technical skills, and M represents the ability to handle money.
Circles C, T, and M overlap. Circle C contains 9, circle T contains 7, and circle M contains 19. The overlap of C and M contains 22, the overlap of M and T contains 21, and the overlap of T and C contains 18. The overlap of all 3 circles contains 25.
How many employers ask that employees be skilled in communication and handling money?
47
50
67
86
=======================================================
Explanation:
C = set of people skilled at communication
M = set of people skilled at handling money
Refer to the Venn Diagram shown below.
The blue region refers to the set of employees that are in circle C and in circle M.
Add up the numbers in the blue region to get 22+25 = 47
There are 12 servings in a box of cereal. Each day, Ryan eats 2 servings of cereal. What fraction of the full box of cereal has Ryan eaten after 5 days?
45.348 to two decimal places
Answer:
45.35
Step-by-step explanation:
Because there are 3 numbers to the right of the decimal point, this number has 3 decimal places. This question wants you to alter the number so that it has only 2 numbers to the right of the decimal. You can't just totally ignore the numbers you want to eliminate, so rounding rules need to be applied.
First, identify the number in the second decimal place position. If the number to the right of this position (the third decimal position) is in the range of 5 - 9, you must add 1 to the second decimal place value. Then, you can drop the numbers after the second decimal place. If the number to the right is 0 - 4, you can simply drop it the value and all the other values to the right.
In this case, the second decimal place has a value of 4. The number to the right is 8. Because 8 is within the 5 - 9 range, add 1 to 4 to get a new decimal value of 5. Finally, drop all the numbers to the right of the new second decimal place value. This leaves you with your answer: 45.35.
Can someone help me with this
Answer:
95% = Within two standard deviations from the mean
99.7% = Within three standard deviations from the mean
68% = Within one standard deviation from the mean
Step-by-step explanation:
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You have a career and are given a salary of 45,000. If you have to pay 15% of your income in Federal and State taxes, how much money do you make after paying taxes? What is your monthly income?
Answer:
after taxes: $38,250monthly: $3,187.50Step-by-step explanation:
Your after-tax income is the gross pay less the amount that is paid to taxes. The monthly income is 1/12 of the annual amount.
__
The tax is the taxed amount multiplied by the tax rate.
taxes = $45,000 × 15% = $6,750
The after-tax income is the income less the taxes:
after-tax income = $45,000 -6,750 = $38,250
The monthly income is 1/12 of this amount:
monthly income = annual income/12 = $38,250/12 = $3,187.50
