============================================
Explanation:
The fractions 2/3, 1/6 and 1/9 have the denominators 3, 6 and 9. The LCM is 18, so the LCD of the fractions is 18.
2/3 = 12/18 after multiplying top and bottom by 6
1/6 = 3/18 after multiplying top and bottom by 3
1/9 = 2/18 after multiplying top and bottom by 2
--------
The three original fractions 2/3, 1/6, and 1/9 are equivalent to 12/18, 3/18, and 2/18 in that exact order.
With the fractions all having the same denominator, we can add the numerators to place over the common denominator
12/18 + 3/18 + 2/18 = (12+3+2)/18 = 17/18
--------
After combining all of the shaded areas, we have 17/18 of the circle shaded in with 1/18 of the circle not shaded in.
You subtract 17/18 from 1 to get 1/18
1 - (17/18) = 18/18 - 17/18 = (18-17)/18 = 1/18
You could think of it like having 18 slices of cake total, and 17 are eaten by guests, so 18-17 = 1 is left over out of the 18 overall. So 1/18 of the cake hasn't been eaten.
The required fraction is 1/18, that is not covered.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
In the given spinner,
2/3 part is covered,
1/6 part is covered,
and 1/9 part is covered.
To determine the fraction of the portion that is not covered,
Let the not covered portion is x.
Since, Total value of circle = 1
2/3 + 1/6 + 1/9 + x = 1
(4 + 1)/6 + 1/9 + x = 1
5 / 6 + 1/9 + x = 1
(15 + 2) / 18 + x = 1
17/18 + x = 1
x = 1 - 17 / 18
x = 1 / 18
The portion of the circle that is not covered is 1/18.
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Two-ninths of the total number of batteries in Richard's desk drawer is made
up of 16 batteries. How many batteries are there in the drawer?
You are told 2/9 = 16
Let total number of batteries = x
So you now have 2/9x = 16
To find x divide both sides by 2/9
X = 72 total batteries
Awnser
72
i dunno how to explain i did it in my head
Solve. 4x - 2 ——— = -7 2
Answer:
x = -3
Step-by-step explanation:
Dividing by 2 is the same as multiplying by 1/2. The distributive property applies.
[tex]\dfrac{4x-2}{2}=-7\\\\2x-1=-7\quad\text{simplify}\\\\2x=-6\quad\text{add 1}\\\\\boxed{x=-3}\quad\text{divide by 2}[/tex]
Step 2 Using Proportional Relationships
Answer:
a ( 567 miles to unit)
b( looks like 2 units so i would say 1134 miles
Answ: the scale is
Step-bstep explanatio
DONT ANSWER!! am i right? 20 points!
Answer:
yes
Step-by-step explanation:
Step-by-step explanation:
Hi, there!!!
It's so simple,
so, let's simply work with it;
Here, the given equation is;
4d-4 = 5d-8
so, let's take "4d" to right side and -8 to left side. we get,
-4+8 = 5d-4d
or, 4 = d
Therefore, the value of d is 4.
{here, we simply simplified to get answer}
YOU ARE ABSOLUTELY RIGHT...
Hope it helps....
does the following table shows a proportional relationship between the variables g & h
*the table being referred to is attached below
Answer:
The table does not show a proportional relationship between variable g and h.
Step-by-step explanation:
For a proportional relationship to exist between two variables, there must be a constant, of which serves like a unit rate, when comparing two variables.
Thus, in the table attached below, there is no obvious constant of proportionality between variable g and variable h.
Thus, [tex] \frac{9}{3} [/tex] ≠ [tex] \frac{36}{6} [/tex] ≠ [tex] \frac{81}{9} [/tex]
Identify the function:
1 5
2 20
3 80
4 320
Quadratic function
Can't determine
Linear function
Exponential function
Answer:
Linear function
Step-by-step explanation:
5 x 4 = 20
20 x 4 = 80
80 x 4 = 320
5. A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At
that rate, how many of the 2540 students at the local high school plan to go to college?
318 students
2032 students
2000 students
3175 students
Answer:2032
Step-by-step explanation:
Since 80% of the students plan to go to college, 80% of 2540 is 2032. 2540x0.8
5 Sandeep bought 30 punnets of strawberries for £20. 1/6 of the punnets were rotten so he threw them away. He sold the remaining punnets for £1.50 each. Work out Sandeep's profit.
Answer:
£17.50
Step-by-step explanation:
30 punnets / £20
= 30 / 20
= 1.5
1 punnet costs £1.5
30 strawberries * (1/6 punnets)
= 30 * (1/6)
= 30/6
= 5
5 punnets were rotten.
5 rotten punnets * £1.5
= 5 * 1.5
= 7.5
Sandeep lost £7.5 in profits.
6/6 punnets - 1/6 rotten punnets
= 6/6 - 1/6
= 5/6
5/6 punnets are good
30 punnets * 5/6 good punnets
= 30 * 5/6
= 150/6
= 25
Sandeep has 25 punnets left to sell
25 punnets to sell * £1.50
= 25 * 1.5
= 37.50
Sandeep will get £37.50 from selling the punnets. However, you must take into account that he lost £20 when he bought the strawberies. THat money while be added back with some extra money left over:
£37.50 - £20
= 37.50 - 20
= 17.50
Put all into 1 equation:
{[30 * (5/6)] * 1.50} - 20
= {(150/6) * 1.50} - 20
= {25 * 1.50} - 20
= 37.50 -20
= 17.50
Overall, Sandeep's actual profits are equal to 17.50
I hope this is correct! Please tell me if the answer or info I gave was wrong!
A farmer is packing eggs. Each box holds six eggs. The farmer has 860 eggs to pack. I. How many boxes can the farmer fill? 2. How many eggs will be leftover?
Answer:
1. boxes filled= 860/ 6
=143.3
= 143 boxes will be filled.
2. leftover eggs = 2
Step-by-step explanation:
Answer:
1. 143 2. 3
Step-by-step explanation:
860 divided by 6 is 143.3, so the .3 will be 3 leftover eggs
Sam weighed his dog. He rounded the weight to the nearest tenth of a pound to get 18.6 pounds. Which could have been the actual weight of Sam's dog?
Answer:
18.55 <= wt < 18.65
In other words, the dog could weigh anywhere from 18.55 up to , but not including 18.65 lbs
Step-by-step explanation:
Answer:
every thing that is 18.55 and after it until 18.64
Step-by-step explanation:
so that will be 18.55,18.56,18.57,18.58,18.59,18.6,18.61,18.62,18.63,18.64
those are all numbers that could be sams weight
An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. The executive then boarded the helicopter and flew to the corporate offices at an average speed of 78 mph. The entire distance from his home to the office was 169.5 if the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work
Answer:
3 hours
Step-by-step explanation:
Speed is the ratio of distance traveled to time taken, it is given as:
Speed = distance / time
An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. He then took the helicopter and flew to the corporate offices at an average speed of 78 mph. Given that the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work.
Let the amount of time the executive spent in the car be t hours, therefore the amount of time spent in the helicopter = t hours.
For car:
Speed = distance / time
35 = distance ([tex]d_1[/tex]) / t
[tex]d_1=35t[/tex]
For helicopter:
Speed = distance / time
78 = distance ([tex]d_2[/tex]) / t
[tex]d_2=78t[/tex]
The total distance traveled = 169.5 miles
[tex]d_1+d_2=169.5\\35t+78t=169.5\\113t=169.5\\t=169.5/113\\t=1.5\ hours[/tex]
The time taken for the executive to get to work = time spent on car + time spent on helicopter = 1.5 + 1.5 = 3 hours
Find the average rate of change of g(x)= – x2 over the interval [ – 8, – 2]. Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify any fractions.
Answer:
[tex]Average\ Rate = 10[/tex]
Step-by-step explanation:
Given
[tex]g(x) = -x^2[/tex]
[tex](-8,-2)[/tex]
Required
Determine the average rate of change;
Average rate of change is calculated as thus;
[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex]
Where
[tex](a,b) = (-8,-2)[/tex]
i.e. a = -8 and b = -2
[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex] becomes
[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 - (-8)}[/tex]
[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 + 8}[/tex]
[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]
Calculating g(-2)
Substitute -2 for x in [tex]g(x) = -x^2[/tex]
[tex]g(-2) = -(-2)^2[/tex]
[tex]g(-2) = -4[/tex]
Calculating g(-8)
Substitute -8 for x in [tex]g(x) = -x^2[/tex]
[tex]g(-8) = -(-8)^2[/tex]
[tex]g(-8) = -64[/tex]
Substitute values for g(-2) and g(-8)
[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]
[tex]Average\ Rate = \frac{-4 - (-64)}{6}[/tex]
[tex]Average\ Rate = \frac{-4 + 64}{6}[/tex]
[tex]Average\ Rate = \frac{60}{6}[/tex]
[tex]Average\ Rate = 10[/tex]
Hence, the average rate of change is 10
AHH, I need help .....again. ik this one is easy my brain is just - also, what is a good excuse to tell my teacher because this assignment is past due by one day bc i thought it was due on the 6 but .... it wasn't . And idk what to say plz help !!! thx :D
Answer:
fraction: 87/100. decimal: 0.87
Step-by-step explanation:
Because there are 10 rows and 10 colums, you know the denominator is 100 because it is 10x10.
Then I counted the first 80 blue squares and knew it was 80 because it is 8 rows and 10 colums. Then I added 7 blue squares because that is above the 80, and 80+7 is 87. So, the fraction is 87/100.
100ths places in decimals is two places, so the 87 would be in the first two decimal places, so it would be 0.87.
Sorry if this is confusing, and I hope it helps :)
Answer:
Fraction = 87 over 100 or [tex]\frac{87}{100}[/tex] The decimal = 0.87
Step-by-step explanation:
first what I did was I counted all of the total squares which was 100 then I counted all of the Shaded squares which was 87.then I put 87 over 100 as a fraction and try to figure out if that was its simplest form which it was. for the decimal all I had to do was take 87 and divide it by 100
Plz answer I’ll mark brainliest
Answer: B
Step-by-step explanation:
Any inscribed quadrilateral (quadrilateral in a circle) has opposite angles that add up to 180 degrees.
So looking at he picture we can see that, (x+16) + (6x-4) = 180.
So your answer is B.
Answer:
Hey There!! The answer to this is B: angle P + angle R = 180
angle O + angle Q = 180
Here, they are only interested in R, therefore the first equation will be enough to solve for R.
angle P + angle R = 180
y + (3y + 8) = 180
We need to solve for y, so put that y value in (3y + 8) to find angle R.
y + (3y + 8) = 180
y + 3y + 8 = 180
We add the y terms: 4y + 8 = 180
Subtract 8 from both sides: 4y = 180-8 = 172
Divide both sides by 4
y = 172/4 = 43
Angle R = 3y + 8
Put y = 43 and calculate R.
R = 3(43) + 8
R = 137
Therefore, the measure of angle R is B:
Hope It Helped!~ ♡
ItsNobody~ ☆
What is the value of i 20+1?
1
- т т .-
In triangle GHI, GH= 2cm
please do 3 and 4
Answer:
Tan D = 7 / 4
Sin D = 7 / 8.1
Cos D = 4 / 8.1
IG = 4.95 Cm
Step-by-step explanation:
In question number 3
Tan D = Perpendicular / Base
Tan D = 7 / 4
Sin D = Perpendicular / hypotenuse
Sin D = 7 / 8.1
Cos D = Base / hypotenuse
Cos D = 4 / 8.1
In question number 4
Tan 68° = IG / GH
2.475 = IG / 2
IG = 4.95 Cm
What is the area of the figure? The figure is not drawn to scale.\ A. 27.36 cm2 B. 13.7 cm2 C. 9.1 cm2 D. 5.3 cm2
Answer:
B. 13.7 cm^2
Step-by-step explanation:
To find the height of any parallelogram, you must multiply the base x height.
The base is 1.9 cm. The height is 7.2 cm.
A = bh
A = (1.9)(7.2)
A = 13.68
13.7 is the closest answer we can get if we can round, but it really should be 13.68 cm^2.
Answer:
B. 13.7
Step-by-step explanation:
A = bh
A = 1.9*7.2
A = 13.68
(13.68 rounds up to 13.7)
Remove all perfect squares from inside the square root√ 72
Answer:
8.48
Step-by-step explanation:
After removing the perfect square inside √72 we get,
6√2
The given square root is,
√72
Since we know that,
A perfect square is a number that is stated as the product of an integer multiplied by itself. The perfect square is also represented as the second exponent of an integer since the same number is multiplied twice. The squares of all integers are hence referred to as perfect squares.
Simplify the square root of 72.
Factor 72 into 36 and 2,
Giving us the square root of 36 times the square root of 2.
Therefore,
√72 = √36 x √2
We know that the square root of 36 is 6,
So we can substitute that in:
√72 = 6 x √2
Hence after removing the perfect square inside √72 we get,
6√2.
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Write the equation for the following table:
Answer:
y = 10x + 20
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
Step 1: Find slope m
m = (20 - 10)/(0 - -1)
m = 10/(0 + 1)
m = 10/1
m = 10
y = 10x + b
Step 2: Find y-intercept
(0, 20) is y-int from graph
Step 3: Plug into form
y = 10x + 20
help me plz I really need this thanks I will give a lot of points
Answer:
see the picture below
Step-by-step explanation:
There is 19, 13, 8, 4, 7, 14, 7, 9.
There is 1 number between 0 and 5.
and there's 4 on between 6 to 10.
and so far.
Step-by-step explanation:
Taller bars show that more data falls in that range.
19, 13, 8, 4, 7, 14, 7, 9 stay in order = 1,2,3,4,5,6,7,8
Add 2 more months to make 8 months
Then go vertical if using this histogram so that numbers of feathers above are vertical shaped bars. |--------------| stacked on top of each other.
Or///
Copy the diagram and swap the names ie) months so they go at the bottom and feathers go along the side axis.
PLEASE HELP ME!!!!!!!!!!
Answer:
5:
x = 9 y = 34
x = 2 y = 6
x = -6 y = -26
x = 3 y = 10
x = 4 y = 14
6.
x = 8 y = 19
x = 5 y = 35
x = -2 y = -21
x = 1 y = 3
x = 4 y = 27
1.
x = 2 y = -5
x = 5 y = -2
x = -1 y = -8
x = 7 y = 0
x = 3 y = -4
2.
x = 8 y = 5
x = 2 y = -1
x = -2 y = -5
x = 9 y = 6
x = 1 y = -2
3.
x = 3 y = -1
x = 6 y = 2
x = -7 y = -11
x = 4 y = 0
x = 2 y = -2
4.
x = 6 y = 39
x = 5 y = 32
x = -9 y = -60
x = 1 y = 4
x = 2 y = 11
5. 6. 1. 2. 3. 4.
x | y | x | y x | y x | y x | y x | y
9 | 11 | 3 | 19 2 | -5 8 | 5 3 | -1 6 | 39
2 | 6 | 5 | 35 5 | -2 2 | -1 6 | 2 5 | 32
-6| -26 | -2 | -21 -1 | -8 -2 | -5 -7 | -11 -9 | -66
3 | 10 | 1 | 3 7 | 0 9 | 6 4 | 0 1 | 4
4 | 14 | 4 | 27 3 | -4 1 | -2 2 | -2 2 | 11
Hope this helps!
what is (7*7*7*7*7*7) * (7*7) in exponential form?
Answer:
7^8
Step-by-step explanation:
Answer:7^8
Step-by-step explanation:
Find the term that must be added to the equation x2+4x=1 to make it into a perfect square
The x term has a coefficient of 4. Take half of this to get 2, then square it to get 4. This is the value we add to both sides to get x^2+4x+4 = 5. Note how x^2+4x+4 factors into (x+2)^2
---------
Another example: Let's say we started with x^2+6x = 1. To complete the square, we need to add 9 to both sides. I start with 6 (the x coefficient) and cut that in half to get 3, then I squared that to get 9. So we add 9 to both sides getting x^2+6x+9 = 10 which becomes (x+3)^2 = 10
The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.
What is Quadratic equation?In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax^2 term.
For example
Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.
Given :
x²+4x=1
as, the x has coefficient 4.
so half the coefficient of x and add and subtract the square of the remaining.
x²+4x + 2 ² - 2² =1
Now, make the whole square term
x²+4x + 2 ² - 4 - 1=0
( x + 2)² -5= 0
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PLEASE HELP! Will mark brainliest! Find the slope of each line:
Answer:
6/7
Step-by-step explanation:
First, find two points that fall on the line and are coordinates on the graph.
The two points I found were (3,5) and (10,11).
Use the slope formula to come up with the slope.
[tex]slope = \frac{change in y}{change in x}[/tex]
slope = [tex]\frac{11-5}{10-3}[/tex] = [tex]\frac{6}{7}[/tex]
Find the square root of 25 6 4 5 7
Answer:
5 is the answer
............
Answer:
5
Step-by-step explanation:
What number multiplied by itself gives you 25
5*5 = 25
sqrt(25) = 5
help me with these thanks
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Type the expressions as radicals
y3/5
Answer:
[tex]\sqrt[5]{y^3}[/tex]
Step-by-step explanation:
[tex]y^{3/5}[/tex] is simply [tex]\sqrt[5]{y^3}[/tex]
WILL GIVE BRAINLY PLEASE HELP!!!!
A quadratic equation of the form 0=ax2+bx+c has a discriminant value of -16. How many real number solutions does the equation have?
A) -1
B) 0
C) 1
D) 2
Answer:
the answer is c. One real number solution
Step-by-step explanation:
Hey There!!
I think the best answer will be is (D) 2.
Because, The discriminant is the expression b2 - 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has. If you get a positive number, the quadratic will have two unique solutions. Im not a 100% sure this right... Hope This helps!! By ~♡Itsbrazts~♡
Find the length of MK¯¯¯¯¯¯ A. 7 B. 47 C. 19 D. 34
Answer:
19
Step-by-step explanation:
JH = 47 (70 - 23)
HM = 23
MK = 19 (42 - 23)
KU = 34 (81 - 47)
UC = 7 (47 - 40)
CN = 40
Answer:
19
Step-by-step explanation:
HM + MK = HK
23 + MK = 42
Subtract 23
MK = 42-23
MK =19
Here can somebody help me with this problem
Answer:
H, 40%
Step-by-step explanation:
We can start out simple by finding out the number of cars in each category.
30 remote-controlled cars
90 non remote-controlled cars.
20% of the remote controlled cars are yellow, meaning that there are 6 yellow remote controlled cars.
Since 50% of the total cars are yellow, there are 60 yellow cars. Subtracting this from the yellow remote controlled cars, there are 54 yellow non remote contolled cars.
What this means is that 54/90 of the non-remote cars are yellow, and 36/90 of the non-remote cars are yellow. 36/90 is just 2/5, which means that our answer is H, 40%.