Can somebody help me with this I’ve been stuck on this for so long and I don’t know the answer, I need someone to help me please.( the answer I need help with is number 1)
Answers
The required numbers are [tex]2\frac{2}{5}[/tex] and [tex]2\frac{5}{8}[/tex] .
In this question , given is [tex]2\frac{2}{5}[/tex] , [tex]2\frac{2}{7}[/tex] , [tex]1\frac{7}{8}[/tex] , [tex]2\frac{1}{10}[/tex] , [tex]2\frac{5}{8}[/tex]
So when we solve it we get; [tex]\frac{12}{5} , \frac{16}{7} , \frac{15}{8} , \frac{21}{10} , \frac{21}{8}[/tex]
We need two numbers whose sum should be greater than 5
first adding the numbers which have the same denominator we get:
[tex]\frac{15}{8} + \frac{21}{8}[/tex]
[tex]\frac{36}{8}[/tex]
which on dividing will give us 4.5 < 5
Lets take numbers [tex]\frac{12}{5} , \frac{16}{7}[/tex]
On taking LCM we get ;
[tex]\frac{84+ 80}{35}[/tex] = [tex]\frac{164}{35}[/tex] = 4.6 < 5
Lets now take [tex]\frac{16}{7} + \frac{15}{8}[/tex] = [tex]\frac{128+ 105 }{56}[/tex] = [tex]\frac{233}{56}[/tex] = 4.16 < 5
Lets take [tex]\frac{12}{5} + \frac{21}{8}[/tex] = [tex]\frac{96+ 105}{40}[/tex] = 5.025 > 5
Thus the required numbers are : [tex]\frac{12}{5} and \frac{21}{8}[/tex].
So in these type of questions we are supposed to take two or the numbers which have been given in the question and then we should add or subtract them as per the question .
Likewise in this question we had to find two numbers and after so many trials we were able to get the two required numbers.
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Related Questions
In a country, the highest temperature ever recorded was 110°f and the lowest temperature was -28°f. Find the difference between the highest and lowest temperatures.
Answers
We have the temperature points measured on the Fahrenheit scale.
The highest point is 110°f
The lowest point is -28°f
The difference between the two points would be as follows
[tex]110-(-28)=138[/tex]In conclusion, the difference is 138°f
-4 3/5÷1 1/5
Answer in simplest form
Answers
Answer: -23/6
Step-by-step explanation:
The vertices of a triangle are as follows:
(4, 4), (6, 7), and (8, 0)
If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle?
hurry plsss
Answers
The vertices after dilation are (12, 12), (18, 21), and (24, 0)
How to determine the vertices of the new triangle?The vertices of the triangle are given as
(4, 4), (6, 7), and (8, 0)
The scale factor of dilation is given as 3
This means that
k = 3
The vertices of the new triangle are calculated as
Vertices = scale factor * Old vertices
So, we have
[(4, 4), (6, 7), and (8, 0)] * 3
Evaluate
(12, 12), (18, 21), and (24, 0)
Hence, the vertices of the new triangle are (12, 12), (18, 21), and (24, 0)
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What is the solution, if any, to the inequality 3-|4-n| >1
A. no solution
B. all real numbers
C. n > 2 or n < 6
D. 2 < n < 6
Answers
The solution of given inequality 3-|4-n| >1 is 2<n<6.So option D is correct.
An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
The given inequality is 3 - |4-n| > 1
Since |4-n| is the absolute value
Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.
So ( 4-n ) may be negative or positive.
For positive value of ( 4-n )
3-( 4-n ) > 1
3-4+n>1
n>2
For negative value of (4-x)
3+( 4-n )>1
3 + 4-n >1
7 - n > 1
-n> 1 -7
-n > -6
n < 6
Hence, 2 < n < 6 i.e. option D is the solution to the inequality 3-|4-n| >1.
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Answer: d
Step-by-step explanation:
E = {2, 4, 6, 10} is a subset of which of the following sets?Question 3 options:C = {1, 2, 3, 4, 5, 7, 8, 9, 10}B = {2, 4, 6}A = {1, 2, 4, 7, 10, 11, 9, 6}D = {4, 6, 8, 10, 12, ...}
Answers
Given:
[tex]E=\lbrace2,4,6,10\rbrace[/tex]Required:
We need to find the set that has the subset E.
Explanation:
Recall that a set A is a subset of another set B if all elements of set A are elements of set B.Consider the set A = {1, 2, 4, 7, 10, 11, 9, 6}.
Element 6 from E is not an element of A.
Set E is not a subset of set A.
B = {2, 4, 6}.
7B
Set E is not a subset of set B
D = {4, 6, 8, 10, 12, ...}
2D
D.
C = {1, 2, 3, 4, 5, 7, 8, 9, 10}
Set C has all the elements of E.
C
Final answer:
A ratio is a….of … numbers. It can be written …different ways.
Answers
Let's analyze the example of the ratio of 9 to 15.
This ratio helps us to compare those two numbers. We can express it in different ways:
[tex]\begin{gathered} \frac{9}{15} \\ 9\colon15 \\ 9\text{ to 15} \end{gathered}[/tex]Answer: A ratio is a omparisonof … numbers. It can be written …different ways.Determine whether each of these sets is countable or uncountable.
(a) all bit strings that is finite.
(b) all bit strings that is infinite
(c) the real numbers containing a finite number of 1s in their decimal
representation (reminder: the real numbers can contain a infinite
number of 2s or 3s)
(d) the real numbers containing only 1s in their decimal representation
Answers
(b) All bit strings that are infinite are uncountable.
(c) The real numbers containing a finite number of 1s in their decimal representation are countable.
(d) The real numbers containing only 1s in their decimal representation are uncountable.
Your mom has you go to the store to buy oranges and apples. Oranges cost $0.50 each, and apples cost $1.00. Your mom gives you $10. Write an equation that represents the number of oranges and apples you can buy with the money you have.
Let x represent the number of oranges you will buy.
Let y represent the number of apples you will buy.
Answers
You can buy with this equation
what is the density of a cube if the mass is 24g
W=2cm
H=2cm
L=2cm
Answers
Volume is WxLxH (2x2x2=8).
Density is mass divided by volume ( 24 g / 8 cm = 3 g/cm ).
Match the letters with the numbersNote:multiple graphs will be used for each problem. Meaning a problem will have more than one graph to match withNote:it’s like matching the numbers with letters
Answers
A function is said to be an odd function if its graph is symmetric with respect to the origin.
Examples of odd functions are;
The odd functions are; C, D E, H, J, K, N
In the figure below, Z is the center of the circle. Suppose that QR=14, ST=14, UZ=3x+5, and VZ=23. Find the following.
S
Z
W
R
X =
0
TV = 0
8 08
X
S
Answers
The value of x is given by 6 units and the value of TV is given by 7 units.
A circle may be defined as a closed loop which has a fixed point around which the loop is made called the center and the fixed distance from the center of the circle to its periphery is known as the radius of the circle. We are given a circle with center at Z. In the circle QR and ST are the chords such that QR = ST = 14 that is both are of equal length, and we know that equal chords are at equal distance from the center. Therefore,
VZ = UZ
23 = 3x + 5
18 = 3x
=> x = 18/3
=> x = 6 units.
Now, we also know that perpendicular drawn from center of the circle to the chord bisects the chord. Thus,
TV = (1/2)×ST
TV = (1/2)×14
TV = 7 units.
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HELP ASAP
Do you think that people are too free in the United States to do and say whatever they want or that there is not enough freedom? Do you feel that Americans have just the right amount of freedom? Explain your answer.
Answers
I believe that Americans have just the right amount of freedom.
How to illustrate the information?The First Amendment protects our freedom of speech and association, so the government cannot stop us from writing or speaking what we choose. We also have the right to create clubs and groups and participate in protests and rallies.
As long as you don't "materially and substantially" interrupt classrooms or other school activities, you have the right to voice your ideas. School administrators can disperse you if you stage a demonstration on the steps of the building and block the entrance. Additionally, they may be able to prevent you from using words that they deem to be "vulgar or indecent."
The above shows that despite the right of freedom, it's important to checkmate what people do.
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Need help with this !!!!
Answers
y = - 4x + - 8 is equation of slope-intercept form.
What is in slope-intercept form?
Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form. Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form.the equation of slope - intercept form
y = mx + c
( -1 , -4 ) is point shown in graph
slope = -y/x
= - ( -4)/-1 = 4/-1 = -4
- 4 = -4 * - 1 + c
- 4 = 4 + c
c = - 4 - 4 = - 8
put value of c in the equation of slope - intercept form
y = - 4x + - 8
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What does x equal? 5(x − 1) = 5x -1
Answers
Answer:
Nothing ( 0 )
Step-by-step explanation:
5(x - 1) = 5x - 1
5x - 1 = 5x - 1
5x - 5x = 1 - 1
0 = 0
Help me !!!!!!!!! I need this for today
Answers
Answer:
Step-by-step explanation:
AC= E
AC= CD
BC= EE
Please write the problems I cant see them well
Write the following expression using the fewest possible terms.
the expression quantity three fourths times t minus 5 plus two fifths times t end quantity minus quantity five eighths times t plus 17 end quantity
negative 71 over 40 times t plus negative 12
71 over 40 times t plus negative 22
21 over 40 times t plus negative 12
21 over 40 times t plus negative 22
Answers
The computation of the expression using the fewest possible terms is D. 21 over 40 times t plus positive 22
How to calculate the expression?It should be noted that on Mathematics, an expression is used to show the relationship between the variables that are given or illustrated.
In this case, the expression given is illustrated as three fourths times t minus 5 plus two fifths times t end quantity minus quantity five eighths times t plus 17 end quantity.
This will be:
= (3/4t - 5 + 2/5t) - (5/8t + 17)
= (15/20t + 8/20t - 5) - (5/8t + 17)
= 23/20t - 5 - 5/8t + 17
= 46/40t - 5 - 25/70t + 17
= 21/40t + 12
Therefore, the correct option is D.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Step-by-step explanation:
substitute with 10 in the equation
need help with this question
Answers
please show all work
Answers
Given:
[tex]f(x)=3\csc (x+6)-4[/tex]To find:
We need to find the same transformation of the given function.
Explanation:
[tex]\text{Let g(x)=3csc(x) be the parent function of the given function.}[/tex]The function g(x) is translated 6 units right and 4 units down to get f(x).
Consdier the function :
[tex]f(x)=3e^{x+6}-4[/tex][tex]\text{ Let g}\mleft(x\mright)=3e^x\text{ be the parent function.}[/tex]:
[tex]f(x)=3(x+6)^2-4[/tex][tex]\text{ Let g}\mleft(x\mright)=3x^2\text{ be the parent function.}[/tex]Final answer:
The following functions have the same transformation as give f(x0.
[tex]f(x)=3e^{x+6}-4[/tex][tex]f(x)=3(x+6)^2-4[/tex]On the axes below,sketch two full cycles of your chosen riders Ferris wheel. Adrianes Ferris wheel goes from 10 feet above the ground to a maximum height of 210 feet and completes one revolution every 90 seconds.
Answers
ANSWER
EXPLANATION
First, we have to draw horizontal lines at the minimum and maximum heights. These are 10 feet and 210 feet, respectively.
Then, we calculate the midline,
[tex]y_m=\frac{210ft+10ft}{2}=\frac{220ft}{2}=110ft[/tex]And we have to draw this line too.
As mentioned, the period is the time it takes to do one revolution, which this wheel makes in 90 seconds. Thus, the period is 90 seconds and the first cycle starts at t = 0 and ends at t = 90 s,
Then, we know that the graph is sinusoidal, so we have to draw the first cycle - note that if the period is 90 s, the graph must intersect the midline at 45 seconds,
And finally, draw another cycle just like the first one.
United States Postal Service handled 7.2 x 10¹0 mails in the year 1965. They handled 1.8 x 10¹¹ mails in
the year 1995. How many more pieces of mail were handled by the United States Postal Service in
1995 than in 1965?
4.0 x 10¹
4.0 x 1010
O 5.4 x 10¹0
O 1.08 x 10¹¹
Answers
The number of mail were handled by the United States Postal Service in 1995 than in 1965 is 0.4.
Given that, United States Postal Service handled [tex]7.2 \times 10^{10}[/tex] mails in the year 1965. They handled [tex]1.8 \times 10^{11}[/tex] mails in the year 1995.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].
Number of mail were handled by the United States Postal Service in
1995 than in 1965 = Number of Postal Service handled mails in the year 1965 ÷ Number of Postal Service handled mails in the year 1995
= [tex]\frac{7.2 \times 10^{10}}{1.8 \times 10^{11}}[/tex]
= 4 × [tex]10^{-1}[/tex]
= 0.4
Therefore, the number of mail were handled by the United States Postal Service in 1995 than in 1965 is 0.4.
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Do anybody know his question?
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Question 3(Multiple Choice Worth 2 points)
(Three-Column Tables LC)
PART 2
The data below shows the ratio of brown to green crayons in four kindergarten classrooms.
12 to 20
10 to 25
14 to 35
30 to 75
Which table below correctly shows these ratios in a three-column table?
Brown 20 25 35 75
Green 12 10 14 30
Total 32 35 49 105
Brown 12 10 14 75
Green 20 25 35 30
Total 30 35 44 105
Brown 12 10 14 30
Green 20 25 35 75
Total 32 35 49 105
Brown 12 25 14 30
Green 20 10 35 75
Total 42 35 49 100
Answers
Using proportional relationships, it is discovered that they will cover 32 miles overall by walking 12 laps and running 20 laps.
For the second issue, the appropriate response is:
Brown 12 10 14 30
Green 20 25 35 75
Total 32 35 49 105
What is a direct proportional relationship?
In a direct proportional connection, the output variable is determined by multiplying the input variable by the proportionality constant, k, as in the example below:
y = kx.
For the first question, we have that out of a total distance of 8 miles, they:
Walk 3/8 of the distance.
Run 5/8 of the distance.
Hence the proportional relationships for the distances are given as follows:
Walked = 3/8 x Total Distance.
Ran = 5/8 x Total Distance.
For a total distance of 32 miles, the distances walked and ran are given as follows:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.
Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.
For the second question, we have that the table has to following the given ratios of the first row to the second row, with the third row being the sum of the first two rows, hence the third table is correct.
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which expression would be added to 5x + 7 to make it equivalent to the expression 9(x + 1) (Here are the answer choices.) A. 4x - 6B. 4x + 2 C. 9x + 1 D. 14x + 8
Answers
Let the expression we will add be "A", thus we can write:
[tex]5x+7+A=9(x+1)[/tex]We can use the distributive property on the right hand side and then use a bit algebra to solve for "A". The distributive property is shown below:
[tex]a(b+c)=ab+ac[/tex]Let's do the algebra. The steps are shown below:
[tex]\begin{gathered} 5x+7+A=9(x+1) \\ 5x+7+A=9x+9 \\ A=9x+9-5x-7 \\ A=4x+2 \end{gathered}[/tex]Thus, we need to add 4x + 2 to "5x + 7" to make it equal to "9(x+1)".
The correct answer is:
Ba pole that is 3.3 m tall casts a shadow that is 1.48 m long. At the same time, a nearby tower casts a shadow that is 36.75 m long How tall is the tower
Answers
By using trigonometric relations for right triangles, we will see that the height of the tower is 81.92 meters.
How can we find the height of the tower?
First, we know that a pole with a height of 3.3m casts a shadow of 1.48m. We can see the height of the pole and the length of the shadow as the legs of a right triangle, with that, we can get the angle at which the sun hits the pole (this angle is such that the height will be the adjacent cathetus).
Using the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
We can get:
a = Atan( (opposite cathetus)/(adjacent cathetus))
With taht we can find the angle, where:
opposite cathetus = 1.48m
adjacent cathetus) = 3.3m
Then:
a = Atan(1.48/3.3) = 24.16°
For the tower that angle will be the same one, and again, the height is the adjacent cathetus and the shadow the opposite cathetus, so we can write the same equation than before:
tan(24.16°) = shadow/height.
Solving that for the height we get:
height = shadow/tan(24.16°) = 36.75m/tan(24.16°) = 81.92m
The height of the tower is 81.92 meters.
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Complete the square for y=x^2 - 6x-5?
Answers
Answer: y=(x-3)^2 -14
Step-by-step explanation:
use the formula (b/2)^2 to create a new term to complete the square
(7x)°
(X/2)
Find the value of the variables
Answers
Answer:
X/2 = 12
7X = 168
Step-by-step explanation:
180 = X/2 + 7X
180 = 7.5 X
X = 24
Helpppppppppppppppppppp!!!!
Answers
Given:
Diagram is given.
Measure of X and Y forms a linear pair of supplementary.
[tex]m\angle X+m\angle Y=180\degree[/tex]Write - 3 1/4 - 8 1/8 as an addition problem.
Answers
Answer:
I don't understand what you mean
Mar GE How many pairs of whole numbers have a sum of 40? many pairs of whole numbers
Answers
The pairs of whole numbers which have 40 as a sum is 21
What is Whole numbers ?
All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions. Whole numbers include counting numerals as well.
For finding the term we use Arithmetic Progression which is :
a(n) = a + (n - 1)d
where,
a(n) = the nᵗʰ term in the sequence
a = the first term in the sequence
d = the common difference between terms
Given,
The first term a₁ = 0
The common difference d = 1 (from 1 - 0, 2 - 1, etc.)
The last term aₙ = 20
Putting the values in the formula we get,
20 = 0 + (n - 1)1
20 = 0 + n- 1
20 + 1 = n
21 = n
Hence, there are 21 pairs of whole numbers that have a sum of 40
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Find the real number solution(s) to the polynomial function f(x) = (x + 9)(x − 5)(x + 7).
a
x = −5, 7, 9
b
x = −9, −7, 5
c
x = −280
d
x = 11
Answers
For the given polynomial function f(x) =(x+9)(x-5)(x+7) the real number solutions are x = -9, -7,5.
As given in the question,
Given polynomial function :
f(x) =(x+9)(x-5)(x+7)
Real number solutions for the given polynomial function
f(x) =(x+9)(x-5)(x+7)
Values for which f(x) =0
0= (x+9)(x-5)(x+7)
Equate all the value to zero we get,
⇒ (x+9) =0 , (x-5) =0 , (x+7) =0
⇒ x = -9 , 5, -7
For x= -9 , 5, -7 polynomial function f(x) =(x+9)(x-5)(x+7) value is equal to zero.
Therefore, for the given polynomial function f(x) =(x+9)(x-5)(x+7) the real number solutions are x = -9, -7,5.
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