Answer:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 7/18 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
7 is a prime number;
18 = 2 × 3^2;
gcf (7; 2 × 3^2) = 1;
Fraction: 13/36 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
13 is a prime number;
36 = 2^2 × 3^2;
gcf (13; 2^2 × 3^2) = 1;
Reduce (simplify) fractions to their simplest form, online calculator
a positive integer is 9 more than 14 times another. their product is 12035. Find the two integers
Answer:
415 and 29
Step-by-step explanation:
x = 14y+9
xy = 12035
(14y+9)y = 12035
y = -415/14 and 29 but it's a positive integer
so y = 29
x = 14(29)+9
x = 415
4. Molly has 20 tomato plants to arrange in her garden. What are all the ways Molly can arrange the tomato plants in an array?
The number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways
Find the image attached. From the figure, we can see that there are 6 rows in the array.
If there are 20 tomato plants, the ways Molly can arrange the tomato plants in an array is expressed according to the permutation formula:
20P6 = 20!/(20-6)!
20P6 = 20!/14!
20P6 = 20 * 19 * 18 * 17 * 16 * 15
20P6 = 27,907,200
Hence the number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways
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The sum of three consecutive odd numbers is 987. Find the numbers.
Answer:
Step-by-step explanation:
Let first odd number = a, second odd number = a +2, third odd number = a + 4
a + a + 2 + a + 4 = 987
3a + 6 = 987
3a = 981
a = 327
First odd number = a = 327
Second odd number = a + 2 = 329
Third odd number = a + 4 = 331
Henry's garden which is 1/4 of an acre is to be divided into 12 equal size areas what is the size of each area?
The size of each area is 3x
Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.
From the given parameters.
Henry's garden is said to be 1/4 of an acre.If an acre = xThen, Henry's garden is (1/4)xSo, Henry's garden is said to be divided into 12 equal size areas.
∴
The size of each area is;
[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]
[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]
= 3x
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Select the correct answer. This table represents the boiling point of water at different altitudes.Which equation represents water's boiling point (y) based on the change in altitude (x)? Altitude (thousands of feet) Boiling Point of Water (Fahrenheit) (sea level) 0 212 0.5 211.1 1.0 210 2.0 208.4 2.5 207.5 3.0 206.6 4.0 204.8 4.5 203.9
Answer:
Step-by-step explanation:
The net income reported on the income statement for the current year was $135,500 depreciation recorded on store equipment for the year amounted to $22,400 balances of the current asset and current libaility accounts at the beginning and end of the year are as follows
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)
x-2/5=2/3-3x-2/6
solve for x
Find the value of x need help
Answer:
x = 13
Step-by-step explanation:
180-52=10x-2
130=10x
13=x
Need help asap! I would appreciate it soo much if your answered.
Answer:
Step-by-step explanation:
The point of closest approach is on a line perpendicular to the zip line
perpendicular lines have negative reciprocal slopes, so the perpendicular line has slope (8/3)
y = (8/3)x + b
adding our known point (3, 16)
16 = (8/3)3 + b
b = 8
y = (8/3)x + 8
now find where the two lines intersect by solving two equations with two unknowns
y = (-3/8)x + 8
as the two lines have a common y intercept of 8, that is the common point
(0, 8)
The distance from (0, 8) to (3, 16) is
d = √((3 - 0)² + (16 - 8)²) = √73 = 8.5440037453...
d = 8.5 ft
Four squirrels have 30 berries each. But before they start watching, two more squirrels join the group. They share the berries equally amongst themselves. How many berries will each squirrel get to eat?
Answer:
5
Step-by-step explanation:
4+2=6
30 berrys so you do 30/6=5
Complete the equation of the line through (-10,3)(−10,3)left parenthesis, minus, 10, comma, 3, right parenthesis and (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis.
Answer:
[tex] y = -\dfrac{11}{2}x - 52 [/tex]
Step-by-step explanation:
Line through points (-10, 3) and (-8, -8).
slope = (-8 - 3)/(-8 - (-10)) = -11/2
y = mx + b
y = (-11/2)x + b
-8 = (-11/2)(-8) + b
-8 = 44 + b
b = -52
y = (-11/2)x - 52
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope fo the line passing through (-10,3) and (−8, -8) is
Slope, m = (-8-3)/(-8+10) = -11/2
Now, equate a point in the equation,
3 = -10(-11/2) + C
3 = 55 + C
c = -52
Hence, the equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.
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Purchasing a TV that is 30% off will save $250.
a. What is the part, percent, and whole.
b. What is the original price of the TV?
Answer:
a. part: $250; percent: 30%; whole: $833.33
b. $833.33
Step-by-step explanation:
a. The part is given as $250; the percentage that represents is given as 30%.
The whole is the ratio of the part to the percent:
$250/30% = $250/0.30 = $833.33 . . . whole
__
b. The original price is the "whole" of which 30% is the part.
original price: $833.33
Mandy spins a biased spinner 3 times. The probability that the spinner will land on blue on all 3 spins is 27/512 Calculate the probability that when the spinner is spun 3 times it does not land on blue on any of the spins
Answer:
0.158203125
i think
At the candy store, one pound of candy Cost $6.49. How much would it cost if Joey bought .79 pounds of candy ?
Answer:
5.12
Step-by-step explanation:
1 lb .79 lbs
------------ = -----------
6.49 x dollars
Using cross products
1x = 6.49 * .79
x =5.12 dollars
plssssssssss help me Graph y= –73x+2.
Refer to the attachment for the graph.
[tex]\mathbb{MIREU} [/tex]
Which equation would NOT represent a function?
Answer:
[tex]y^{2}=x[/tex]
Step-by-step explanation:
all of the other equations are functions as y is to the power of 1. since y is to the power of 2 in answer choice A, it would form a sideways parabola that does not pass the vertical line test.
Answer:
the answer is a because I did the math
The value of the x intercept for the graph of 4x-5y=40 is
Answer: x=10
Step-by-step explanation:To find the x-intercept, you have to set y=0.
4x-5y=40
4x-5(0)=40
4x-0=40
4x=40
Then divide both sides by 4 to get x=10
Hope this helps! :D
help me plssssssssssssss
multipley by 2, to get the answer
what is an equation of the line that passes through points (-7,-5) and (-7,-2)?
Answer:
x=-7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-5))/(-7-(-7))
m=(-2+5)/(-7+7)
m=3/(0)
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x=-7.
The perimeter of a rectangle is 18.6 km, and its area is 14.6 km“.
Find its length and width.
Answer:
2 and 7.3
Step-by-step explanation:
[tex]P=2x+2y=18.6[/tex]
[tex]2x=18.6-2y\\x=9.3-y[/tex]
We'll replace x with (9.3-y)
[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]
Now we solve this equation by sum and product:
[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]
Replacing back in the Perimeter equation:
[tex]2x+2y=18.6[/tex]
if y=7.3
[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]
if y=2
[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]
So, the dimensions are 2 and 7.3 km
PLEASE HELP!!! I ONLY HAVE A FEW MINUTES!!
Answer:
y=0.25x-6
Step-by-step explanation:
11. Given a matrix A, what is A^1?
A=[0 12 0 1]
[tex]\text{Since det(A) = 0, the inverse of the matrix does not exist.}[/tex]
(02.06)If a piece of ribbon is 6 and 1 over 4. feet long, how long is it in inches? 25 inches 72 inches 75 inches 84 inches
Answer:
C
Step-by-step explanation:
1 foot = 12 inches Find 1/4 foot in inches
1/4 a foot = 1/4 * 12 = 3 inches
6 1/4 feet = (6 + 1/4) * 12
=72 + 3
75 inches
The Circumference of Taylor’s bike tire is 72 inches what is the diameter of the tire used 3.14 for and round to the nearest whole number
Answer:
Step-by-step explanation:
Circumference=72
pi=3.14
Radius=C /2π
72/6.28=11.4649681529
Rounded to the whole would be 11
=11
HELP THIS IS MY 2ND ATTEMPT
Answer:
8 1/10
Step-by-step explanation:
mark brainliest if correct
26.52 x 90.7 step by step
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]26.52[/tex] × [tex]90.7 = 2405.364[/tex]
[tex]OR:[/tex]
Here's a paper I wrote of your answer.
Sorry, if my picture is blurry.
Hopefully, this helps you!!
[tex]Sokka[/tex]
Equation for 13 divided by 4 equals 3.25
Answer: 13 ÷ 4 = 3.25 or [tex]\frac{13}{4} = 3.25[/tex] (Both means the same thing but you can pick which equation you want0
Step-by-step explanation: Hope this helps! :D
Please please hurry!!!! Answer this question
It costs $6.50 per fidget popper. How much would it cost to get 8 fidget poppers.
Answer:
$52
Step-by-step explanation:
8*6.50
A town’s population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000. If this trend continues, predict the population in 2016.
The approximate population in 2016 is 91, 604 population
Let the time taken by the population to increase be "t"Let the number of the population be PThe exponential equation representing the statement is [tex]P=P_0e^t[/tex]
If in 2010 the population was 56,000, then at t = 0, P0 = 56000Substituting into the formula will give:
P = 56000If by 2012 the population had increased to 81,000, then:
81000 = 56000e^12k
81000/56000 = e^12k
1.4464 = e^12k
ln1.4464 = 12k
0.3691 = 12k
k = 0.3690/12
k = 0.03076
Get the prediction of the population in 2016.
[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]
Hence the approximate population in 2016 is 91, 604 population
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