Answer:
1/6
Step-by-step
When 1/3 divided by 2 gives 1/6.
What is fraction?fraction, In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator.
In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
If we divide 1/3 by 2, which is not possible
Fraction also multiplication only.
To make the division into multiplication we have to reciprocal the number on the right side of the division
So,
1/3÷2
=1/3*1/2
= 1/6
Hence, 1/3 divided by 2 in fraction form gives 1/6.
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Carrie invests £800 for 4 years at 3% interest per year.
How much interest does she earn?
Answer:
13
Step-by-step explanation:
help me with this please
Answer:
1. Sine A = 3/5
2. Cos A = 4/5
3. Tan A = 3/4
4. Sine B = 4/5
5. Cos B = 3/5
6. Tan B = 4/3
Step-by-step explanation:
1. Determination of Sine A
Opposite = 3 in
Hypothenus = 5 in
Sine A =?
Sine A = opposite / Hypothenus
Sine A = 3/5
2. Determination of Cos A
Adjacent = 4 in
Hypothenus = 5 in
Cos A =?
Cos A = Adjacent / Hypothenus
Cos A = 4/5
3. Determination of Tan A
Opposite = 3 in
Adjacent = 4 in
Tan A =?
Tan A = opposite / Adjacent
Tan A = 3/4
4. Determination of Sine B
Opposite = 4 in
Hypothenus = 5 in
Sine B =?
Sine B = Opposite / Hypothenus
Sine B = 4/5
5. Determination of Cos B
Adjacent = 3 in
Hypothenus = 5 in
Cos B =?
Cos B = Adjacent / Hypothenus
Cos B = 3/5
6. Determination of Tan B
Opposite = 4 in
Adjacent = 3 in
Tan B =?
Tan B = opposite / Adjacent
Tan B = 4/3
Use Structure The area of a rectangular
playground has been extended on one side.
The total area of the playground, in square
meters, can be written as 352 +22x.
Rewrite the expression to give a possible set
of dimensions for the playground,
Answer:
The width and length of the rectangle are [tex]22[/tex] and [tex]16+x[/tex], for [tex]x > -16[/tex], respectively.
Step-by-step explanation:
From Geometry, we remember that area of the rectangle ([tex]A[/tex]) is defined by:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width.
[tex]l[/tex] - Length.
In addition, we know that area is described by a first-order polynomial:
[tex]A = 352+22\cdot x[/tex] (2)
Meaning that is the product of another first-order polynomial and a constant. That is:
[tex]A = a\cdot (b+c\cdot x)[/tex] (3)
Now we determine the Great Common Divisor of 352 and 22:
[tex]352 = 2\times 2\times 2 \times 2 \times 2 \times 11[/tex]
[tex]22 = 2\times 11[/tex]
The Great Common Divisor is 22.
Then, the area of the rectangle can be expressed by this expression:
[tex]A = 22\cdot (16+x)[/tex] (3b)
According to this, the width and length of the rectangle are [tex]22[/tex] and [tex]16+x[/tex], for [tex]x > -16[/tex], respectively.
can someone please help me asap
Answer:
c= 70?
a= 66? I think im not too sure
25
Evaluate the expression a^2+b+3 for each set of given values. Enter each
number in the provided box. If a=4 and b=3 (HINT: substitute the variables
then solve)
Answer:
22
Step-by-step explanation:
a^2+b+3 and a=4, b=3
4^2+3+3
16+3+3
22
Please help, make sure to do a step by step so i'm not cheating, i just need some help .
If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise
could do the job in 8 hours. How long would it take them working together? If needed,
submit your answer as a fraction reduced to lowest terms.
Answer:
It will take Fran and Denise [tex]3\frac{3}{7}[/tex] hours to paint the living room.
Step-by-step explanation:
Given that:
Time taken by Fran to paint living house = 6 hours
Time taken by Denise = 8 hours
Let,
x be the time taken by both of them.
[tex]\frac{1}{Fran's\ share}+\frac{1}{Denise's\ share}=\frac{1}{x}\\\\\frac{1}{6}+\frac{1}{8}=\frac{1}{x}\\\\\frac{4+3}{24}=\frac{1}{x}\\\\\frac{7}{24}=\frac{1}{x}\\\\x = \frac{24}{7}[/tex]
[tex]x = 3\frac{3}{7}[/tex] hours
Hence,
It will take Fran and Denise [tex]3\frac{3}{7}[/tex] hours to paint the living room.
Greg spent 2/3 of his total money on a collector’s comic book. He has $8.50 left. If there was no tax added to the cost, how much did Greg spend on the comic book?
Answer:
4.25
Step-by-step explanation:
i knew the answer!!!
The amount that Greg spent on the comic book is; $17
Let the amount of money he had initially be x.
Thus, if he spent ⅔ of that initial amount, it means the amount he will have left is;
Amount left = x - ⅔x
Amount left = ⅓x
Since he had $8.5 left, then;
⅓x = 8.5
x = 3 × 8.5
x = $25.5
Thus;
Amount he spent on the comic book is;
⅔ × 25.5 = $17
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The function f is defined as follows for the domain given.
f(x) = 2–2x domain = (-1,0, 1, 2}
Write the range of f using set notation. Then graph f.
Answer:
The range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
Step-by-step explanation:
Given the function
f(x) = 2-2x
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axisAs the domain of the function is given such as
Domain D = {-1, 0, 1, 2}
Determining the range
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.
As the domain is
Domain D = {-1, 0, 1, 2}
FOR x = 1
substitute x = -1 in the function
f(x) = 2-2x
f(-1) = 2-2(-1) = 2+2=4
so
at x = -1, y = 4
FOR x = 0
substitute x = 0 in the function
f(x) = 2-2x
f(-1) = 2-2(0) = 2-0=2
so
at x = 0, y = 2
FOR x = 1
substitute x = 1 in the function
f(x) = 2-2x
f(-1) = 2-2(1) = 2-2=0
so
at x = 1, y = 0
FOR x = 2
substitute x = 2 in the function
f(x) = 2-2x
f(-1) = 2-2(2) = 2-4=-2
so
at x = 2, y = -2
Thus combining all the output or y values correspond to the given input values, we get the range of the function.
Thus, the range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
Answer:
5
Step-by-step explanation:
estimated would be 8 - 3
To solve the problem we must know about fractions.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction [tex]\frac{1}{4}[/tex] can be described as 0.25
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.
The solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Given to us
[tex]8\frac{1}{5}-2\frac{7}{8}[/tex]
Converting the mixed fractions to fraction
[tex]8\dfrac{1}{5}-2\dfrac{7}{8}\\\\=\dfrac{(8 \times 5)+1}{5}-\dfrac{(8\times 2)+7}{8}\\\\=\dfrac{41}{5}-\dfrac{23}{8}\\\\[/tex]
Taking LCM,
[tex]=\dfrac{41\times 8}{5\times 8}-\dfrac{23\times 5}{8\times 5}\\\\=\dfrac{328}{40}-\dfrac{115}{40}\\\\=\dfrac{328-115}{40}\\\\=\dfrac{213}{40}[/tex]
Converting to Mixed Fractions,
[tex]=5\dfrac{13}{40}[/tex]
Hence, the solution to this problem is [tex]5\dfrac{13}{40}[/tex].
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Review the proof.
Which expression will complete step 3 in the proof?
How can I complete step 3 in proof and review it what is step 3
Pleaseee help pronto ......
Answer:
C
Step-by-step explanation:
you can see the proportion is right because you get 5 cucumbers for 2 dollars. for double cucumbers times by two which equals 4 dollars. Times 5 by three because it's 3 times bigger meaning it has to equal 6 dollars and finally times 2 by 4 making 20 cucumbers cost 8 dollars.
An education budget went from $800,000 to $1,120,000. What is the approximate percent increase?
Answer:
The percentage increase is 40%
Step-by-step explanation:
Percentage Increase =
Final Value - Starting Value
Starting Value x 100 (the whole fraction, not just the bottom)
Hope this helps!!!! :)
Caden's savings account had $ 70 $70dollar sign, 70 in its first year. Each year since then, his account accumulated interest amounting to 10 % 10%10, percent of the balance in the previous year. Let f ( n ) f(n)f, left parenthesis, n, right parenthesis be Caden's account balance at the n th n th n, start superscript, start text, t, h, end text, end superscript year of the saving. f ff is a sequence. What kind of sequence is it? Choose 1 answer: Choose 1 answer: (Choice A) A Arithmetic sequence (Choice B) B Geometric sequence Complete the recursive formula for f ( n ) f(n)f, left parenthesis, n, right parenthesis. f ( 1 ) = f(1)=f, left parenthesis, 1, right parenthesis, equals f ( n ) = f ( n − 1 ) f(n)=f(n−1)f, left parenthesis, n, right parenthesis, equals, f, left parenthesis, n, minus, 1, right parenthesis +/⋅
Answer:
f is a geometric sequence.
f(1)=70
f(n)=f(n−1)⋅1.1
Step-by-step explanation:
hope this helps
please mark me as brainliest!
Which Expression represents 8 less than 3 times?
Answer:
3x-8
Step-by-step explanation:
if 8 less than something it means subtract, example:
8 less than 21 = 13
and plus u said 3 times x and when multiplying by a variable(letter) you can put them together, example:
3 times x = 3x
The given statement can be written as expression as -
f(x) = 3x - 8
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given is the statement -
8 less than 3 times
We have -
Assume the number to be [x]. Then -
f(x) = 3x - 8
Therefore, the given statement can be written as expression as -
f(x) = 3x - 8
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Solve the system by substitution.
2x + 10y = -32
x = -9y
Answer:
point form (-36,4) equation form x=−36,y=4
Step-by-step explanation:
What's equivalent to 2/5?
Answer: 4/10 , 6/15, 8/20,
Step-by-step explanation:
Answer: Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/
Step-by-step explanation:
If 10% of a number is 44, 5% of the number is
Answer:
22
Step-by-step explanation:
I hope this helps <3
Determine the solution for x^2+2x+8
Answer:
[tex]x=-1-i\sqrt{7}[/tex], [tex]-1+i\sqrt{7}[/tex]
Step-by-step explanation:
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
Here a=1, b=2 and c=8
Find the value of 8... and Brainly apparently has to have at least 20 words for it to b a “question”
Answer:
40,320
Step-by-step explanation:
The ! after the 8 is called a factorial.
You basically have to multiply that number by all the numbers that come before it.
For example: 4! = 4 x 3 x 2 x 1
In your case, 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320
If a = -4, then what is the value of -a?
OA.
5
OB.
4
OC. 0
OD
D. -4
The ratio x : y is 1 : 3
Which of the following statements are correct?
A) x is 1/3 of y
B) y is 3/4 of (x + y)
C) x is 1/4 of y
D) y is 3/4 of x
Answer:
A. x is ⅓ of y
Step-by-step explanation:
x : y
= 1 : 3
Therefore,
x = 1
y = 3
If so x is 1/3 of y
Figure I and Figure II are similar pentagons. Figure 1 4.2 cm Figure II 4 cm 5.25 cm 6 cm y cm 6 cm 3 cm 3.15 cm 7 cm Which proportion must be true
A Y/X = 4.2/3.15
B 6/X = 5.25/7
C Y/6 = 7/5.25
D X/4 = 3/6
Answer: I believe it’s c because I have that question on my test and c was the correct answer for me sorry if it didn’t work
Step-by-step explanation:
Can someone please answer 19,20,21 please and thank you!!
SOLVE FOR X, WILL GIVE BRAINLIEST
-- these are called same side interior angles, which are supplementary.
to solve for x:
3x + 37 + 2x - 7 = 180
5x + 30 = 180
5x = 150
x = 30
Answer: x = 30
========================================================
Explanation:
These angles shown are same side interior angles.
Due to the parallel lines, same side interior angles are always supplementary.
This means they add to 180
(2x-7)+(3x+37) = 180
2x-7+3x+37 = 180
(2x+3x)+(-7+37) = 180
5x+30 = 180
5x = 180-30 .... subtracting 30 from both sides
5x = 150
x = 150/5 ... dividing both sides by 5
x = 30
3
Add. Write the expression below in simplest form.
(-2x + 10) + (-8x - 1)
Answer:
The answer is -10x + 9
Step-by-step explanation:
Combine like terms.
-10x + 9
Hoped this helped!
Could I get brainly?
Solve for x using the exterior angle theorem.
Answer:
x=9.16666...
Step-by-step explanation:
3/5-x/9=2/15-2x/45 can someone help I don’t understand
is 1/14 rounded to 0, 1/2 or 1
Answer:
0
Step-by-step explanation:
Answer: 1/2
Step-by-step explanation: can i have brainlist please
Solve for x. Write the reasons next to each step.
(2x - 6)
(x + 40)
Answer:
The answer for first one is,
[tex]2(x - 3)[/tex]
sorry I don't know the answer for second one.
