Describe or show how to find the following product using both an algorithm and a diagram:1/4×2/3
An algorithm is the series of steps followed to do calculations especially by a computer.
[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{2}{12}[/tex] =[tex]\frac{1}{6}[/tex]
The algorithm would use the multiplication of the numerator with the numerator and the denominator with the denominator for solving simple multiplication of the proper fractions.
[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex]
= (1×2)/(4×3) ⇒ the numerators are multiplied and so the denominators
= 2/12
Now 2 is taken as common from both 2 and 12 ( numerator and denominator)
= (2/2 ) 1/6 taking 2 as common factor
= 1/6 cancelling 2 by 2
The diagram can be used to explain the same fact.
1 is multiplied with 2 and 4 is multiplied with 3.
Therefore we get 2 as numerator and 12 as denominator.
2/12 is further reduced to 1/6
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How to measure body mass by using the metric system
Answer:
With the metric system, the formula for BMI is weight in kilograms divided by height in meters squared. Since height is commonly measured in centimeters, an alternate calculation formula, dividing the weight in kilograms by the height in centimeters squared, and then multiplying the result by 10,000, can be used.
Hope this helped
Step-by-step explanation:
How can 38 over 6 be expressed as a decimal?
Answer:
the answer is 6.3
Step-by-step explanation:
sorry if I did it wrong
Answer:
D or the last option
Step-by-step explanation:
38/6, so 6 can go on 38 6 times, means it will be 6 times 6, which is 36. So, we can eliminate the answers A and B.
38-36 = 2, which is the left over. Now You add a decimal point and bring down a zero and make it 20. and 6 can go on 20, 3 times... 6 times 3, which is 18.
20-18= 2, so you do the same thing over and over again, the answer is 6.3
pls help !!!!!!!!!!!!!!!
Answer:
d = 32.1°
Step-by-step explanation:
79.7 (measure of the whole angle) - 47.6 (measure of the left over angle) = d
Dan is buying pencils and erasers from the store. Pencils come in packages of 6, but erasers are sold in packages of 9. If Dan wishes to purchase the same number of pencils as erasers, what is the smallest number of erasers that he can buy?
Answer:
6
Step-by-step explanation:
9+9=18 pencil
6+6=12 erasers
The graph shows a system of equations:
Y= -x - 2 y = 2x - 5 what is the solution (-1 , 3) (1 , -3) (1 , 3 ) ( -1, -3) vi
Answer:
(1 , -3)
Step-by-step explanation:
The system of linear equations intersect exactly at one point. This point where the two lines intersect is the solution of the system of equations.
Find the intersection point on the graph Determine the abscissa or x-coordinate ( horizontal distance) which is 1Determine the ordinate or y-coordinate (vertical distance) which is -3The ordered pair is the solution (1, -3)If an angle cuts out an arc length of a circle AND the arc length is SHORTER than the
radius, what is true about the angle?
it is less than pi radians
it equals pi radians
it is greater than pi radians
We want to study the angle of an arc given that the length of the said arc is smaller than the radius of the circle.
The correct option is:
"it is less than pi radians"
A circle of radius R has a circumference:
C = 2*pi*R
An arc defined by an angle θ has a length:
L = θ*R
Now, we know that the length of the arc is smaller than the radius, then we have:
θ*R < R
Dividing both sides by R we get:
θ < 1
So we can see that the correct option is:
"it is less than pi radians"
Because it is smaller than 1.
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3(2x+5)=45 I need help doing it in the proof form in 4 steps
Please help. i dont know what to put.
Answer:
a and b
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
perpendicular lines intersect to form a 90 degree (or 'right') angle
Here is a list of numbers:
24
,
87
,
79
,
82
,
12
,
2
,
79
,
32
,
46
,
90
Answer:
Light Red
Step-by-step explanation:
The pH of apple juice is found to be in the range of 2.9 - 3.5. So, the Colour of the universal indicator (pH paper) will be light red.
Solve for the unknown variable.
-4 =
d + 3
5
Answer:
d=-39
Step-by-step explanation:
-4=d+35 -35 on both sides to get d=-39
Now let's check:
-39+35=-4
Is this correct? Yes!
Hope this helps :D
1 gal of paint in pounds
Click the least number in this set of numbers.
|-1.61,
5.28 x 10,
V50,
2
5
0.3
Answer:
-2/5 is correct
Step-by-step explanation:
Roberto took a sample of 5 recent matches for his favorite soccer team. Here is how many goals the team scored in each match: 0, 2, 1, 2, 5 Roberto found the mean was xˉ=2 goals. He thinks the standard deviation is sx =(2−2)2 + (1−2)2 +(2−2)2 +(5−2)24−−−−−−−−−−−−−−−−−−−−√ What is the error in Roberto's standard deviation calculation?
Roberto did not include the first term of the numerator (0-2)^2 in his calculation.
The mean of the data is also known as average.
Given the set of data 0, 2, 1, 2, 5
Mean = 0+2+1+2+5/5
Mean = 10/5
Mean = 2.0
To get the standard deviation, we will use the SD formula as shown:
[tex]\sigma=\sqrt{\frac{\sum (x-\overline x)^2}{N} }[/tex]
[tex]\sigma =\sqrt{ \frac{(0-2)^2+(2-2)^2+(1-2)^2+(2-2)^2+(5-2)^2}{5}}\\ \sigma = \sqrt{\frac{4+0+1+0+9}{5}} \\\sigma = \sqrt{\frac{14}{5} }\\\sigma = 1.673[/tex]
Comparing this with Roberto's calculation, we can see that Roberto did not include the first term of the numerator (0-2)^2 in his calculation.
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Answer:
B
Step-by-step explanation:
(11/0x−2/3)−(4/5x−1/6)
(−5/6x−7/12)−(−1/3x−1/4)
(−1/2x+7/10)−(−3/4x−1/5) .
Answer:
21x
Step-by-step explanation:
21×
Step-by-step explanation:
that my answer my anwer
Two rules for creating a pattern are given below. Each rule begins with a number called the input and creates a number called the output.
Rule 1: Increase the input by 4 to get the output.
Rule 2: Multiply input by 2. Then subtract 1 to get the output.
Which input and output table works for both rules?
Choose 1 answer:
Answer:
A
Step-by-step explanation:
You can just check all of them in a minute.
Input Output Rule 1 Rule 2
5 9 5 + 4 = 9 ✔ (5 × 2) - 1 = 9 ✔
10 14 10 + 4 = 14 ✔ (10 × 2) - 1 = 19 ❌
8 15 8 + 4 = 12 ❌ (8 × 2) - 1 = 15 ✔
Only the first one (A) works with both rules.
I hope it helps. Please choose my answer as the BRAINLIEST.
You have a choice between going to an in-state college where you would pay $3000 per year for tuition and an out-of-state college where the tuition is $6500 per year. The cost of living is much higher at the in-state college, where you can expect to pay $1000 per month in rent, compared to $450 per month at the other college. Assuming all other factors are equal, which is the less expensive choice on an annual (12-month) basis?
Answer:
The less expensive choice is the out-of-state college
Step-by-step explanation:
in-state-college: 1000(12)+3000=15000
out-of-state-college:450(12)+6500=11900
The figure below has a point marked with a large dot.
First, rotate the figure 270° clockwise about the origin.
Then, give the coordinates of the marked point in the original figure and the final figure.
Answer:
( 5 , - 3 ) -------> ( 3 , 5 )
Step-by-step explanation:
After the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).
What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size and shape of the figure stays exactly the same.Given is a figure rotated 270° clockwise about the origin.
The algebraic rule for a figure that is rotated 270° clockwise about the origin is -
(x, y) → (y, -x)
Initial point marked on the figure : (5, 3)
After the rotation, the points will be : (3, - 5)
Therefore, after the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).
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What is the inverse of f(x) = 1/3x + 2 ?
A. h(x) = 1/3x + 2
B. h(x) = 1/3x - 2
C. h(x) = 3x - 2
D. h(x) = 3x - 6
Pls provide an explanation. I need help, and I will mark the person who helps me understand this Brainliest.
Step-by-step explanation:
y = ⅓x +2
⅓x = y -2
x = 3y -6
h(x) = 3x -6 (option D)
An interior designer wants to decorate a newly constructed house. The function f (x) = 25x2 – 100 represents the amount of money he earns per room decorated, where x represents the number of rooms he designs. The function g of x equals one fifth times x represents the number of rooms the interior designer decorates, where x is the number of hours he works.
Part A: Determine the amount of money the interior designer will make decorating the house as a function of hours he works. (5 points)
Part B: If the newly constructed house requires 40 hours of work, how much will the interior designer earn? Show all necessary calculations. (5 points)
Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work. (5 points)
F(x) = 25x² - 100
g(x) = 1/5x
{ 7 1/5x² - 100 = y
{ 1/5x = y
∴ 25 x² - 100 = 1/5x
x = 2
y = 0.4
The function for the amount of money earned, the total amount of money for 40 hours and the expression for the difference quotient are given as A(x) = 5x³ - 20x, 319200 and 15x² - 15xh - 20 respectively.
What is a function?A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).
The given function for earned money in designing house is,
f(x) = 25x² - 100
The function for number of rooms decorated is,
g(x) = x/5
PART A :
As per the problem, the the function for the amount of money made by interior designer is the product of functions f(x) and g(x) as,
A(x) = f(x)g(x)
=> A(x) = (x/5)( 25x² - 100)
=> A(x) = 5x³ - 20x
Where x represents the number of hours worked.
PART B :
If the designer works for 40 hours the amount of money earned can be obtained by substituting x = 40 in A(x) as follows,
A(x) = 5x³ - 20x
at x = 5
A(5) = 5 × 40³ - 20 × 40
= 319200
PART C :
The difference quotient for the function A(x) is given as,
(A(x + h) - A(x))/h
= (5(x + h)³ - 20(x + h) - (5x³ - 20x))/h
= (15x²h - 15xh² - 20h)/h
= 15x² - 15xh - 20
Hence, the answers for all the parts are A(x) = 5x³ - 20x, 319200 and 15x² - 15xh - 20 respectively.
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Help it’s due by 12:00
Answer:
d to c to b to a
Step-by-step explanation:
d = 1/4 or 0.25
c = 3
b = 5 or 4
a = 6
(B) 1. Noah is three years younger than four times the age of his brother. Select all the equations that correctly represent the relationship between Noah's age n and his brother's age b. A. n = 3 - 46 B. n = 4b - 3 C. n = 4(6-3) D. b = " E. b = 4n - 3 F. b = +3
Answer:
i beleive it would be b4-3=n
Please answer this question.
Answer:
use a calculator
;-;
Step-by-step explanation:
Answer:
is this 4th grade math? genuine question
Step-by-step explanation:
the answer is 11
Zoe played soccer for 12 years before she retired. She trained twice a week every year (52 weeks) for her entire career. How many training sessions did she go to? Please show your work.
Answer:
Zoe had 312 training sessions.
Step-by-step explanation:
First: divided 52 by 2
Second: multiply 26 and 12.
Is (2, 9) a solution to this system of equations?
y = 6x + 7
y = x + 7
yes
no
No it isn't. Using the substitution method, if we substitute x for 0, we get
y = 6(0)+7
y = 0+7
y = 7
y = 0+7
y = 7
Hence the solution is (0,7)
Help pls show work :))))
Answer:
m/_a=4(15)
=60
Step-by-step explanation:
180-115=65
triangle=180
180=65+4y+3y+10
7y=105
y=15
Brainliest plsz
S=4LW+2WH; S =138, L = 9, W = 3
Step-by-step explanation:
Given,
S = 4LW + 2WH
S = 138
L = 9
W = 3
so value of H,
→ 138 = 2(9)(3) + 2(3)H
→ 138 = 54 +6H
→ 6H = 138 - 54 = 84
→ H = 84/6 = 14
therefore, value of H is 14.
hope this answer helps you dear and may u have a great day, take care
convert 84 2/3% to a fraction in lowest terms
Answer:
Step-by-step explanation:
Multiply the numerator by the reciprocal of the denominator.
251
300
= 56
How do you convert a fraction into percentage?To write the fraction as the % we 1st need to write it as a fraction out of 100.We write the fraction out of 100 by using equivalent fractions.This means that we must multiply numerator. The number on above of the fraction.We can 1st multiply the top or bottom of the fraction 4 / 5 by 2.
Any number can be converted to fraction if you use one for the denominator:
84/1
Therefore now that we've converted 84 into the fraction, to work out the lowest term, we put the fraction 2/3 side by side with our new fraction, 84/1 so that we should multiply those 2 fractions.
all you need to do is convert the whole number into the fraction or then multiply the numerators or denominators :
2 x 84 / 3 x 1
= 168 / 3
In this situation, our new fraction shall actually be the simplified down further. To do that, we want to find the greatest common factor of those numbers.
We can now sum both the new numerator or the denominator by the three to simplify this fraction down to its lowest terms.
168/3 = 56
3/3 = 1
When we put that together, we could see that our complete solution is:
56/1
= 56
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help me with this guys !! (a lot is points like 80) PLEASEEE HELP
1)what is the value of this expression? 4m + 2n, when m = 7 and n = -2
2) Use the formula: P=abc, to work out for P when a = 2, b= 3 , c =4
3)what is the correct option (expression) for this “multiply n by 9 then adds 5’’?
options
a: 9(n+5)
b: 9n + 5
c: 5n + 9
d: 5(n+9)
4)use the position -to-term rule to find the first four terms in the sequence. term = 3x position number + 3
5) amy thinks of. number n. what is the correct expression if she doubles ur and -‘s 7
6)
Answer:
1) 24
2) 24
3) b. 9n +5
Step-by-step explanation:
1) substitute
4(7) + 2(-2)
solve
28 + -4
24
2) substitute
P = (2)(3)(4)
multiply
24
4) im not sure, my apologies
5) i'm not sure, i don't understand what's being asked, if you rephrase this, i can give you an answer
have a lovely day <3
Answer:
1) 24
2) P=24
3) B: 9n+5
4) 6, 9, 12, 15, 18, 21...
Step-by-step explanation:
1) 4(7) + 2(-2) = 24
2) P = (2)(3)(4) = 24
3) 9n+5
4) 3+3=6+3+3+3
how to solve f(4) = x^2+7x-22
Answer:
22
Step-by-step explanation:
1. Plugin 4 for each corresponding X value
2. Should look like 4^2+7(4)-22
3. Once ran through a calculator you should end up with a value of 22