Hence the required expression is Proved.
Given the expression is 2 1/4 ₋ 6/7 = 39/28
Consider L.H.S 2 1/4 ₋ 6/7
Convert improper fraction to proper fraction.
2 1/4 = 9/4
take LCM of the denominators.
The LCM is 28.
9×7/28 ₋ 6×4/28
63/28 ₋ 24/28
Now subtract.
63 ₋ 24/28
39/28
Hence proved.
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Your question is incomplete. Please find the missing content here.
Show that 2 1/4 ₋ 6/7 = 39/28
What is 1/2x+1/2x=x+1
Answer: 2x..?
Not 100% sure but here's my reasoning
(1/2 + 1/2 + 1)x
1/2 + 1/2 = 1
1 + 1 = 2
then you add the x, making it 2x
i could be wrong im literally half asleep eating chicken wings and finishing my own homework so forgive me if this is completely wrong lol
3(8-3)+2(4-1)
9(6-2)-11(5-2)
the solution for it ..
solving the bracket is important
Question 12
4
Which of the following numbers is irrational?
-9
5
7
√√5. √9
3
Answer: square root of 5 and square root of 9
Step-by-step explanation:
What is an equation of the line, in point-slope form, that passes through the point (9, -9) and has a slope of 4?
Please explain how to do this : )
[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{9}) \implies y +9= 4 (x -9)[/tex]
Answer:
m = 4
Step-by-step explanation:
slope = 4
3/4x+8<41 graph it as well
Answer:
x<44
Step-by-step explanation:
2 1/2 x 1/3 x 3 find the sum.
Answer:
2 1/2 x 1/3 x 3 = 5/2 or 2 1/2
Use the equation of the least-squares regression line and the residual plot to estimate the actual mean weight of the infants when they were 1 month old
The actual mean weight of the infants when they were 1 month old is 4.297
The residual plot doesn't show any obvious leftover pattern, confirming that a linear model is appropriate.
the equation of this line as ˆy=12x−1 with an accent on the y to indicate that the y-values computed using this equation
y = 4.88 + 0.267(1)
y = 5.147
residual = -0.85 = A - 5.147 + 5.147
residual = 4.297
the actual mean weight of the infants when they were 1 month old is 4.297
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Margo borrows $800 agreeing to pay it back with 8% annual interest after 8 months. how much interest will she pay?
Answer:
43
Step-by-step explanation:
800 × 8% × (8/12)
The diagram shows five touching semicircles, each with radius 2. What is the length of the perimeter of the shaded shape? Give your answer in terms of π
The Length of perimeter of the shaded shape is; 24 - 8π
What is the Perimeter of the shaded area?
Let us first find the rectangle measurements that contains the shaded portions.
Width of rectangle = 2 * 4 = 8
Length of rectangle = 2 + 2 = 4
Perimeter of rectangle = 2(8 + 4) = 24 units
Now, let us find the perimeter of all semi circles and quarter circles that fall into into this rectangle region;
Perimeter of semi circles = πr + πr + πr + πr/2 + πr/2 = 4πr
Perimeter of semi circles inside the rectangle = 4π * 2 = 8π
Thus;
Length of perimeter of shaded shape = 24 - 8π
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(4x+1)(4x+1)
im so confused
Answer:
16x² + 8x + 1
Step-by-step explanation:
(4x + 1)(4x + 1)
each term in the second factor is multiplied by each term in the first factor, that is
4x(4x + 1) + 1(4x + 1) ← distribute both parenthesis
= 16x² + 4x + 4x + 1 ← collect like terms
= 16x² + 8x + 1
Answer:
16 x 2 + 8x + 1
Step-by-step explanation:
Using the foil method we expanded the polynomial.
Simplify: A , B , C , D?
Answer:
7 5/6
Step-by-step explanation:
Reverse the operation
[tex]-2\frac{1}{3} - -10\frac{1}{6} = 2\frac{1}{3} + 10\frac{1}{6}\\= 2-\frac{1}{3} + 10+\frac{1}{6}\\-2 + 10 = 8(2 - 10)\\-\frac{1}{3} +\frac{1}{6}\\-\frac{2}{6}(x2) +\frac{1}{6}\\= -\frac{1}{6}\\8-\frac{1}{6}\\= 7\frac{5}{6}[/tex]
what is the median of 5,5,5,2,6,1,15,2,3,1
Answer:
The median is: 4
Hope this helps! <3
An angle is defined as the space between two rays that emanate from a common point. True or false
True, there are some undefined terms like line, point angle, distance between two points .
Which definition of angle is the best?
The figure in which two rays intersect at the vertex, or common point, is referred to as an angle. The symbol "∠" is used to represent the angle.How does Euclid define angle?
A plane angle is the inclination toward one another of two intersecting, non-straight lines in the plane.
True, there are some undefined terms like line, point angle, distance between two points .
we intuitively know about the angle but can not give mathematical definition .
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After making several plates of empanadas, you are down to your last bag of shredded cheese. You realize that it’s not full; there is about / three-fourths of a bag left. If you want to make 4 plates with the remaining cheese, what fraction of a bag can you put on each plate?
The fraction of a bag that you can put on each plate is 3 /16.
What is the fraction you can put on each plate?A fraction is a non-integer that is made up of a numerator and a denominator. The numerator and the denominator are divided by a line. An example of a fraction is 1 / 2.
The fraction of the cheese that you can put on each plate can be determined by dividing the amount of cheese left by the number of plates. Division is the process of grouping a number into equal parts using another number.
Amount that can be put on each plate = fraction left / number of plates
3 /4 ÷ 4
3/4 × 1/4 = 3 /16.
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Solve for u.
4u = 88
Simplify your answer as much as possible.
U=
X
3
Answer: u=22
Step-by-step explanation:
4u = 88
Divide by 4 on both sides
4u/4 = 88/4
Cancel out 4u
u = 22
please help please help this is easy but hard for me lol
Answer:
To make AEH(triangle) do a vertical cut from A to H
Step-by-step explanation:
An isotope with z > 83, which lies close to the band of stability, will generally decay through_______
An isotope with z > 83, which lies close to the band of stability, will generally decay through decay.
What do we mean by decay?The process by which an unstable atomic nucleus loses energy through radiation is known as radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration, as well as nuclear disintegration). Radioactive material is one that contains unstable nuclei. Radioactive decay is the spontaneous transformation of one element into another. This can only happen by changing the number of protons in the nucleus (an element is defined by its number of protons). A radioactive procedure in which a nucleus spontaneously transforms into one or more different nuclei while emitting radiation, losing electrons, or fissioning. An isotope with z > 83, for example, which is close to the band of stability, will generally decay through decay.Therefore, an isotope with z > 83, which lies close to the band of stability, will generally decay through decay.
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12. FIND THE ERROR A student is finding the
total cost c, including sales tax, of a book
that costs $9.95. The sales tax rate is 9%.
Find the student's mistake and correct it.
Here is what the student wrote (re-pasting for clarity)
C = 1.9 x 9.95
C = 18.91
C = $18.91
The error happens in the 1st line
Why? Because the 1.9 should be 1.09
The 1.9 represents a tax of 90% when we want a 9% tax instead
In other words, 9% = 9/100 = 0.09 while 90% = 90/100 = 0.9
-----------------
This is what the steps should look like
C = 1.09 x 9.95
C = 10.8455
C = 10.85
Don't forget to round to the nearest hundredth, aka nearest penny.
The total cost, after sales tax, is $10.85
98÷13=
I need help please...
Answer:
7.538461538
Step-by-step explanation:
If the straight-line distance from her home to the university is 10. 3 km in a direction 25. 0° south of east, what was her average velocity in km/h?.
The average velocity in km/h is: 34.3km/hr
What is average velocity?Average velocity refers to speed at which the time intervals (t) change in position or displacement happens, divided by the change in position or displacement (x).
=> Average velocity = [tex]\frac{displacement}{time}[/tex]
Now,
The time taken is missing in the question; the time taken = 18 mins = [tex]\frac{18}{60}[/tex] hours.
The distance of her home to the university = 10.3 km
As, average velocity = [tex]\frac{displacement}{time}[/tex]
=> Velocity = [tex]\frac{10.3\times60}{18}[/tex] = 34.3 km/hr
Hence, the average velocity = 34.3 km/hr
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Problem B: Mr. Zoetz placed red, blue, and yellow gumballs in his gumball machine. • He placed 253 yellow gumballs in the gumball machine. He placed 98 more yellow gumballs than red gumballs in the gumball machine • He placed 27 fewer blue gumballs than red gumballs in the gumball machine. How many gumballs did Mr. Zoetz place in the gumball machine?
He placed 479 gumballs in the gumball machine.
We are given that Zoetz placed red, blue, and yellow gumballs in his gumball machine.
Now in the gumball machine, we are given that he:
He has placed 253 yellow gumballs.
Now, we are given an expression that the number of red gumballs is 98 less than the yellow ones.
Number of red gumballs = 253 - 98 = 155 gumballs.
Also, another expression says that blue gumballs are 27 less than the red ones.
Number of blue gumballs = 155 - 27 = 128 gumballs.
Total gumballs = 253 + 98 + 128 = 479 gumballs.
Therefore, he placed 479 gumballs in the gumball machine.
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The salary for a groun of executives was listed as follows: 18 at $50,000; 10 at $60,000; 8 at $75,000; 2 at $90,000; and 2 at $10,000. What is the average salary?
Answer:
The average salary is $57,500
Step-by-step explanation:
You would find the total salaries and divide that by 40 because there were 40 people: 18 + 10 +8 + 2 + 2
To find the total salaries"
18(50,000) + 10(60,000) + 8(75000) + 2(90,000) + 2(10000) = 2300000
2300000/40 = 57,500
If the volume of a cube increases at rate of 3 cm^3/sec what is the rate of increase of the length of its side ?
Greetings from Brasil...
We know that
V = L³ ⇒ L = ∛V
and
dV/dt = 3cm³/s (volume rate as a function of time)
Let
dL/dV = L' = 1/(3∛V²)
We need dL/dt (side rate as a function of time), so
(dV/dt) . (dL/dV) = dL/dt
then
dL/dt = 3 . [1/(3∛V²)]
dL/dt = 1/∛V²(3.6 x 105) / (1.2 x 103) =
3.0582524271844
Step-by-step explanation:
1.multiply the numbers:3.6×105=378
2.multiply the numbers:1.2 ×103=123.6
3.Divide the numbers:378/123.6=3.0582524271844
To hire an accountant to prepare taxes costs a flat fee and an additional hourly rate. The amount the accountant costs can be modeled by the function A(x) = 140 + 25x, where x represents the number of hours the accountant works to prepare the taxes and 140 represents the flat fee. What is the value of A(215) and its interpretation?
A(215) = 3; If the accountant takes 215 hours to prepare the taxes, the cost will be $2.
A(215) = 3; If the account takes 3 hours to prepare the taxes, the cost will be $215.
A(215) = 5515; If the accountant takes 215 hours to prepare the taxes, the cost will be $5,515.
A(215) = 5515; If the accountant takes 5,515 hours to prepare the taxes, the cost will be $215.
The value of A(215) and its interpretation are captured thus:
A(215) = 5515; If the accountant takes 215 hours to prepare the taxes, the cost will be $5,515
What does the function represents?
The function given as A(x) = 140 + 25x, represents the total cost of using the services of the accountants for tax computation and preparation, bearing in mind that the 140 means $140 which is the fixed charged irrespective of the number of hours it takes to prepare the tax returns whereas the 25x means that $25 is charged as variable fee for every hour the accountant works on the tax computation
A(x) = 140 + 25x
In this case, A(215) means that 215 hours were made use of by the accountants, hence, to determine the total fees, we simply substitute for x
A(215) = 140+(25*215)
A(215) = 140+5375
A(215)=$5,515
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Peter signed up for a program that cost $10.50 per month to stream movies to his computer. He decided to cancel the service after 5/6 month, he only has to pay for the amount of time he use the service. What number represents the total change in what amount of money Peter has after paying for the service.
In linear equation, $1.75 is amount of money Peter has after paying for the service.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Peter signed up for a program that costs $10.50 per month to stream movies to his computer.
He decided to cancel his service after 5/6 month.
So, has to pay for the amount of time he used the service
$10.50 . 5/6 = $175.5 = $8.75
The amount of money Peter has after paying for the service is
$10.50 - $8.75 = $1.75
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25. Communicate and Justify Ramon says that 4 1 can be rewritten as Jamal says that 12 124* it cannot because both the numerator and denominator need to be raised to the power of 4. Who is correct? Explain. Thinking For what values of x is
Answer:
Step-by-step explanation:
Ramon is correct to write the expression (1/12)⁴ that can be rewritten as 1/12⁴.
Use the concept of exponent defined as:
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Given that,
Ramon says that (1/12)⁴ can be rewritten as 1/12⁴.
And, Jamal says that it cannot.
Here, the expression is,
(1/12)⁴
Apply the rule of exponent as
1⁴ / 12⁴
1 / 12⁴
Hence, Ramon is correct to write the expression.
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Use the expression -1/3-(-5/12) show an equivalent addition expression
The equivalent expression to -1/3-(-5/12) is 1/12.
How to calculate the expression?From the information, the expression given is -1/3-(-5/12).
Therefore, this will be computed thus:
= -1/3-(-5/12)
= - 1/3 + 5/12
= 5/12 - 1/3
= 5/12 - 4/12
= 1/12
Therefore, the equivalent expression to -1/3-(-5/12) is 1/12.
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A recipe uses both carrots and onions. The recipe uses 4 times more carrots than onions. If the recipe uses a total of 25 ounces of chopped carrots and onions, how many ounces of onions does the recipe use?
The ounces of onions is 5 ounces.
How to calculate the value?Let the onions be represented by x.
The recipe uses 4 times more carrots than onions. The carrots will be 4 × x = 4x.
Therefore, the equation will be:
4x + x = 25
5x = 25
Divide by 5
x = 25/5
x = 5
Therefore, the ounces of onions is 5 ounces.
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Answer:
Step-by-step explanation:
The ounces of onions is 5 ounces.
The recipe uses 4 times more carrots than onions. The carrots will be 4 × x = 4x.
Therefore, the equation will be:
4x + x = 25
5x = 25
Divide by 5
x = 25/5
x = 5
Therefore, the ounces of onions are 5 ounces.
Help please what is the slope of this
Answer:
1/2
Step-by-step explanation:
Rise over run. The rise is 4 the run is 8. Simplify.
