The length of the shorter string is 18 inch while that of the longer string is 30 inch.
An equation is an expression used to show the relationship between two or more variables and numbers.
Let s represent the length of the shorter string.
One piece is 12 inches longer than the other
Length of longer string = s + 12
Since a 48-inch piece of string is cut into two pieces. Hence:
s + (s + 12) = 48
2s + 12 = 48
2s = 36
s = 18
Length of longer string = 18 + 12 = 30
The length of the shorter string is 18 inch while that of the longer string is 30 inch.
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3 movie tickets cost 36$. at this rate, the cost per ticket is $..
Answer: The cost per ticket is $12.
Step-by-step explanation:
It takes 58 pounds of seed to completely plant a 9-acre field. How many acres can be planted per pound of seed?
Answer:
6 4/9
Step-by-step explanation:
You divide 58 and 8 and your answer would be 6.444444 repeating.
Simplify. Show all steps
-25y - (5y - 41)
Which represents the inverse of the function f(x) = 4x?
Oh(x) =x+4
O h(x) =x-4
O h(x) = 3/4x
O h(x) = =1/2x
Answer:
h(x) = 1/2x f(x) = 4x 4x/2=2xSo,h(x) = 1/2xThe inverse of the function of f(x) = 4x is h(x) = x/4
Inverse of the functionSince f(x) = 4x, to obtain its inverse, we write f(x) = y
So, y = 4x.
We now divide both sides by 4. so, we have
y/4 = 4x/4
y/4 = x
Next, we replace x with y. So,
y/4 = x
x/4 = y
Next, we now replace y with f⁻¹(x) which is the inverse of f(x).
So, y = x/4
f⁻¹(x) = x/4
Since f⁻¹(x) = h(x), replacing these, we have
h(x) = x/4
So, the inverse of the function of f(x) = 4x is h(x) = x/4
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write a polynomial function of least degree with integral coefficients that has the given zeros 0,-2,4
Answer:
[tex]x^3-2x^2-8x[/tex]
Step-by-step explanation:
[tex]x(x+2)(x-4)[/tex]
[tex]x(x^2-2x-8)[/tex]
[tex]x^3-2x^2-8x[/tex]
the permiter of one face of cube is 60 cm then its volume :
Step-by-step explanation:
a cube has 6faces.
side = 60/6 = 10cm
volume = 1000cm³.
hope this helps you.
find the total amount due on the simple interest loan if the principle is $3000 with a rate of 5% for 10 years
Step-by-step explanation:
hope it will help you......
find x and y intercepts of
3x - 2x = 5
Answer:
x=5
Step-by-step explanation:
there is no y intercept
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{3x - 2x = 5}\\\mathbf{\rightarrow 1x = 5}\\\textbf{DIVIDE 1 to BOTH SIDES}\\\mathbf{\rightarrow \dfrac{1x}{1}=\dfrac{5}{1}}\\\textbf{CANCEL out: }\mathbf{\dfrac{1}{1}\textbf{ because it gives you 1}}\\\textbf{KEEP: }\mathbf{\dfrac{5}{1}}\textbf{ because it helps solve for the x-value.}\\\textbf{NEW EQUATION: }\mathbf{x = \dfrac{5}{1}}\\\textbf{SIMPLIFY IT!}\\\mathbf{x = 5}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 5}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\mathbf{Amphitrite1040:)}[/tex]
Prime number after
167, 118, 82, 57, 41, ?
Prime numbers after 167, 118, 82, 57, 41, are:
37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2
Prime numbers are numbers that only have two factors, 1, and themselves.
Apart from these factors, no number can divide them without a remainder.
By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.
This means that the prime number to be chosen will be lesser than 41
Prime numbers lesser than 41 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
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Select the best estimate for the quotient.75.1÷9=
Answer:
8.3 44444 is the answer
Step-by-step explanation:
At the same time of day, a woman who is 78 inches tall casts a 63-inch shadow and her son casts a 21-inch shadow. What is the son's height? *
Answer:
26in
Step-by-step explanation:
The heights of the people in relation to their shadow lengths are proportional.
78in/63in = x/21in
The child's shadow is 1/3 the length of his mom so his height is 1/3 of hers.
78/3 = 26 in
Answer:
The son is 26 inches tall.
Step-by-step explanation:
[tex]\frac{x}{21} = \frac{78}{63}[/tex]
[tex]x= \frac{21x78}{63}[/tex]
21x78= 1638
1638÷63=26
Hope this helps
Sorry if I got it wrong!
What is the perimeter of the trapezoid?
10m
8m
10m
18m
Answer:
46 m
Step-by-step explanation:
The perimeter of any figure is the sum of the lengths of its sides.
8m +10m +10m +18m = 46 m
The perimeter of the figure is 46 meters.
HELP ME OUT PLEASE!!!
Determine which graph shows y as a function of x.
IS IT 60 SOMEONE PLEASE TELL ME THE RIGHT ONE !!!
Answer:
60 is the answer you're welcome
What is the opposite of 3.5? Write your answer as a decimal
What is the value of x? Enter your answer in the
box.
Answer:
70⁰ + 30⁰ + x = 180 ( angle sum property (
100⁰ + x = 180
x = 80⁰
Question 3 of 10
Find tan 0
[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]
-1⅓ + 2⅓ what is answer
MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
========================================================
Explanation:
Start with the f(x) function. Then plug in g(x) like so
[tex]f(x) = 4x+3\\\\f(g(x)) = 4(g(x))+3\\\\f(g(x)) = 4\left(\frac{1}{4}x-\frac{3}{4}\right)+3\\\\f(g(x)) = 4\left(\frac{1}{4}x\right)+4\left(-\frac{3}{4}\right)+3\\\\f(g(x)) = x-3+3\\\\f(g(x)) = x\\\\[/tex]
----------------------------
Now we'll start with the g(x) function and then plug in f(x)
[tex]g(x) = \frac{1}{4}x-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(f(x))-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x+3)-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x)+\frac{1}{4}(3)-\frac{3}{4}\\\\g(f(x)) = x+\frac{3}{4}-\frac{3}{4}\\\\g(f(x)) = x\\\\[/tex]
----------------------------
We've shown that the two equations are true
f(g(x)) = xg(f(x)) = xTherefore, f and g are inverses of each other.
Each factory at a candy company has 498 workers. There are 12 factories. )
How many workers are employed at each candy company
Answer:
5,976 workers
Step-by-step explanation:
498 times 12 = 5976
Answer: 41.5
Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.
Easy question about multiplication? unsure why not getting full marks
Read the below scenario and then answer the questions that follow. The Ancestry Society of North Carolina is compiling records so they can learn about the history of African Americans in North Carolina from 1820 to 1980. They have complied records of all 15,125 gravestones in cemeteries across all 15 counties. They want to choose a sample of 600 records to check their accuracy by visiting the actual gravestones.
a) Using the hat method explain how they could gather a simple random sample of 600 gravestones to visit.
b) Explain why it would be better to take a sample 40 gravestones from all 15 counties.
c) For what population could they make inference about after gathering and examining the sample?
Using the hat method they can randomly choose the tombstones they are going to visit in each county, the best option is to visit 40 tombstones in each county so that it is the same number of tombstones analyzed in each county. This study will benefit the residents of these counties because the information is specific to them.
When conducting research, it is sometimes necessary to take samples to analyze and study and obtain a result. In the situation presented there are a large number of tombstones to study, however it is difficult for researchers to visit each of the tombstones.
Therefore, the best option is to take a sample, that is, to study a small proportional part of the tombstones to obtain an estimated result of the study. The best way to do this is by taking the same number of samples in each county.
Additionally, the information resulting from this study will directly impact the residents of these counties because they are issues related to their past and their evolution through the years, especially the African American population.
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What is the greatest exponent in the expression 8x-x^2+9-3x^4+5x?
Answer:
4
Step-by-step explanation:
Describe how to find your x-intercepts ?
What is the perimeter of the triangle?
Answer:
34
Step-by-step explanation:
12 on two of the sides and 10 on bottom
There is a problem with the question since it is supposed to say how much length does each box in the graph consider. But assuming that each box length is 1 unit...
The pythagorean formula states a^2 + b^2 equals c^2 .... Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)
So, lets just divide the blue triangle in half, symmetrically so that we can get a 90 degree angle. "a" is height of the half triangle and "b" is base of the half triangle so we have to find "c" (the hypotenuse) Now that we already can count and find the value of a is 12 unit and b is 5 unit.
So, 12^2 + 5^2 equals c^2 ... now if we solve the formula, the value of "c" comes 13 (it also comes -13 but negative number can not be counted in the diagram)
The triangle is a isoceles triangle which means both the sides of "c" are equal so... one side is 13 then the other side is also 13. and we already know the base is 10 units. So just add them up- 13+13+11 comes 37 units. (Its kinda complicated and i am bad at making someone understand so just learn the pythagorean theorum...)
SO THE FINAL ANSWER IS 37 UNITS. i am not sure so let me know if am correct. And if i m wrong... pls forgive me T-T
Stacy is driving at a speed of 48 miles per hour. How many feet is she travelling per minute?
how many seconds are there in 3 minute By the process
Answer:
Step-by-step explanation:
You can easily convert 3 minutes into seconds using each unit definition:
Minutes
minute = 60 s = 60 s
Seconds
1 s
= 1 sec / 60 = 0.01667 min
With this information, you can calculate the quantity of seconds 3 minutes is equal to.
In 3 min there are 180 s.
Which is the same to say that 3 minutes is 180 seconds.
Need help fast worth 20 points
Select the correct answer.
Which set of absolute values is compared correctly
OA. 1-10] < |-5| < |17| < 151
OB. 1-5| > |-10| > |-12| > |17||
OC. |10| > |-15] > [-5| > 12||
OD. |-101 < [12] < |-15| < |17||
Answer:
i think its b.
Step-by-step explanation:
correct me if im wrong. and it was worth 10 points instead of 20.
What is the slope of the line?
1/2 2 1 -2
Answer:
the slope of the line is 2
Step-by-step explanation:
Answer:
The slope of the line is 2.
Step-by-step explanation:
The point where the line crosses the y-axis, also known as the y-intercept, is (0,1). The next clear point is (1,3).
We can use the formula for finding slope here.
[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
If we plug in the points, with (0,1) being the first and (1,3) being the second, we'll get this:
[tex]\frac{3-1}{1-0} --> \frac{2}{1} --> 2[/tex]
Therefore, the slope is 2.
joey’s town voted on a new speed limit . 40 % of the 25 votes were in favor of the new speed limit . How many votes were in favor ?
Step-by-step explanation:
I don't know the answer really