Step-by-step explanation:
the formulae for finding centroid is (x1+x2+x3/3 , y1+y2+y3/3)
so the coordinates of centroid is (1+3+5/3 , -2+5-6/3)
(3,-1) and other point is the origin (0,0)
we know ,the equation is
x-x1/x1-x2= y-y1/y1-y2
x-3/3-0= y-(-1)/-1-0
x-3/3=y+1/-1
-x+3=3y+3
or -x+3y=0
or x-3y=0(multiplying -1 in both sides)
so the eq is x-3y=0 ans
thank u
A 11 L solution that was 25 % vinegar was mixed with a 12 L solution that was 67 % vinegar. Find the new concentration of vinegar.
Answer:
46.91%
Step-by-step explanation:
The first solution contains 11 * 0.25 = 2.75 L of vinegar
The second solution contains 12 * 0.67 = 8.04 L of vinegar
When mixed together, that adds up to 8.04 + 2.75 = 10.79 L of vinegar
The total volume of the combined solutions is 11 + 12 = 23 L of solution
So the new concentration is 10.79/23 ≈ 0.4691 ≈ 46.91%
A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50 m = 9.50, where m represents the number of miles traveled.
Answer:
Value of miles traveled (m) = 13 mile
Step-by-step explanation:
Given:
Equation
3.00 + 0.50 m = 9.50
Find:
Value of miles traveled (m)
Computation:
3.00 + 0.50 m = 9.50
0.50 m = 9.50 - 3.00
0.50 m = 6.50
m = 6.50 / 0.50
m = 13
Value of miles traveled (m) = 13 mile
Answer:
The question is not complete, below is the complete question:
A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50 m = 9.50, where m represents the number of miles traveled.
Which statement shows the meaning of the driver's equation? Check all that apply.
a.) Three dollars added to $0.50 is the same as $9.50.
b.) Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.
c.) Three dollars more than the quotient of $0.50 and the number of miles is nine dollars and fifty cents.
d.) The product of the number of miles and the sum of $3 and $0.50 is equal to $9.50.
e.) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.
Answers
The correct answers are:
b
e.) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.
Step-by-step explanation:
The formula written by the driver is: 3.00 + 0.50 m = 9.50
where m = number of miles travelled
This means that when the product of 0.50 and the number of miles travelled 'm' is added to $3, the result is 9.50
And this is the same explanation as the following options:
a.) Three dollars($3) plus $0.50 times the number of miles is equal to nine dollars and fifty cents($9.50).
e.) e.) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents;
note that 50 cents is the same as $0.50
please help right now
Answer:
4sqrt(2) + 1
Step-by-step explanation:
Well you know that cos 0 is 1
this means that a+b = 9
cos 60 is 1/2
this means 1/2 a + b = 5
a = 8
b = 1
now plug in for x = 45
cos 45 = sqrt(2)/2
write down the unit digit for each of the following square first 78 pawer 2
Answer:
4
Step-by-step explanation:
Since 78² then 8² = 64 which indicates 4 is the unit digit
The interquartile range is determined by the formula _____________. A. Third quartile – First quartile B. Maximum – minimum C. Third quartile + first quartile D. First quartile – third quartile
Answer:
A. Third quartile – First quartile
Step-by-step explanation:
The interquartile range is found by taking the third quartile minus the first quartile. It is also found by taking the right side of the box in a box and whisker plot and subtracting the left side of the box in a box and whisker plot
PLeasE HELP, I DONT UNDERSTAND THIS.......Bob has $112 more than Martha. If they have $500 in total, how much does each person have?
Answer:
He has $138
Step-by-step explanation:
you would divide 500/2 and then subtract one side by 112 to get the answer.
|-12-(-8)|= simply the expression
The mid point is _____ both x-values and dividing by 2, and _____ both y-values and dividing by 2. Can be adding and subtracting in either one
Answer:
Adding
Adding
Step-by-step explanation:
Which of the numbers below are whole numbers? Check all that apply.
A. 4545
B. 697.81
AP
D. 849
E53
F 36 8
Answer:
A D E
Step-by-step explanation:
all the other number have decimals
How many times does 27 go into 1714???
Answer:
27/3 = 9
Step-by-step explanation:
"How many times does 3 go into 27?" is the same as asking "How much is 27 divided by 3?" Thus, the answer can be calculated as follows:
27/3 = 9"How many times does 3 go into 27?" is also the same as asking "What (x) do you multiply by 3 to get 27?" We solve the problem with an easy algebra equation:
3(x) = 27
x = 9
Tip: When you get a question like "How many times does 3 go into 27?", just think of it as how many times you can fit 3 into 27.
The answer on this page is rounded to the nearest decimal if necessary.
solve for q 3(q+4/3)=2
Answer: Q= -0.6 or -2/3
Step-by-step explanation:
Sharika can finish the work in 6 days and Palkey can do the same work in 8 days. They both worked together for for 2 days then Palkey left the work. How many days will Sharika take to finish the remainig work.
Answer:
Sharika needs 2.5 days to finish the remaining work
Step-by-step explanation:
Sharika can do a work in 6 days palkey can do it in 8 days
Then the amount of work sharika can do in 1 day = 1/6
And the amount of work palkey can do in 1 day = 1/8
The amount of work both of them can do together in 1 day = 1/6 + 1/8
= 7/24
The amount of work both of them can do together in 2 day = (2× 7/24)
= 7/12
Since Palkey left the work,the amount of
work remaining for Sharika to do alone = (1 - 7/12 )
= 5/12
The number of days Sharika take to finish the remainig work. = (5/12 ÷ 1/6 )
= 5/2 days
Therefore, Sharika needs 2.5 days to finish the remaining work.
due today! PLEASE help! Find the value of x. A. 15 B. 28 C. 20 D. 40
Answer:
A- 15
Step-by-step explanation:
I think option no a is answer
Complete the square to solve the equation below.
Check all that apply.
x2 + 8x-1 = 19
O A. x= -10
O B. X= -2
O C. X=-3
O D. X = 2
Answer: X= -10, and X=2
Step-by-step explanation:
Answer:
X=-10 and x=2
Step-by-step explanation: so the answers would be A. And D.
ifran manages a coffee shop.
The rest of the question is in the screen shot
Answer:
230 capsules.
Step-by-step explanation:
The following data were obtained from the question:
Taste >>>>>>>>>>> Frequency
Volluto >>>>>>>>>> 12
Livanto >>>>>>>>>> 7
Ristretto >>>>>>>>> 23
Cosi >>>>>>>>>>>> 3
Other >>>>>>>>>>> 5
Next, we shall determine the total frequency.
This is illustrated below:
Total frequency = 12 + 7 + 23 + 3 + 5
Total frequency = 50
Finally, we shall determine the number of Ristretto in 500 capsules.
This can be obtained as follow:
Number of Ristretto = Frequency of Ristretto /total frequency x total capsule
Frequency of Ristretto = 23
Total frequency = 50
Total capsule = 500
Number of Ristretto = 23/50 x 500
Number of Ristretto = 23 x 10
Number of Ristretto = 230.
Therefore, the number of Ristretto in the 500 capsules is 230.
(x^3-2x^2+3x-4)(x-1)-(2x-3)(x^2-x+1)
Answer:
x^4−5x^3+10x^2−12x+7
Step-by-step explanation:
Distribute:
=(x^3)(x)+(x^3)(−1)+(−2x^2)(x)+(−2x^2)(−1)+(3x)(x)+(3x)(−1)+(−4)(x)+(−4)(−1)+−2x^3+5x^2+−5x+3
=x^4+−x^3+−2x^3+2x^2+3x^2+−3x+−4x+4+−2x^3+5x^2+−5x+3
Combine Like Terms:
=x^4+−x^3+−2x^3+2x^2+3x^2+−3x+−4x+4+−2x^3+5x^2+−5x+3
=(x^4)+(−x^3+−2x^3+−2x^3)+(2x^2+3x^2+5x^2)+(−3x+−4x+−5x)+(4+3)
=x^4+−5x^3+10x^2+−12x+7
help me because i need help
Answer: c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
To help understand how to solve this, try using a number line. You start at negative 5 and move 40 to the right. Whenever you add a positive you move to the right, and when you add a negative you move to the left!
if we represent the length of a line by a, how may we represent the length of a line that is 3 inches shorter. If the combined length of the two lines is 15 inches, what is the length of each line?
Answer:
The lines' lengths are: 8 inches and 5 inches.
Step-by-step explanation:
Calling "a" the length of the line, a line that is 3 inches shorter can be written in math terms as:
a - 3
If the combined (added) length of these two lines is 15 inches, then we can write:
a + (a - 3) = 15
a + a - 3 = 15
2 a - 3 = 15
2 a = 15 + 3
2 a = 18
then
a = 18/2 = 9
Therefore, the length of one line is 8 inches, and the length of the shorter line is:
8 - 3 = 5 inches
Find the standard form of the quadratic equation: f(x)=(2x-1)(x+4)
Answer:
[tex] f(x) = 2x ^{2} + 7x - 4[/tex]
Step-by-step explanation:
[tex] \because \: f(x) = (2x - 1)(x + 4) \\ \therefore \:f(x) = 2x(x + 4) - 1(x + 4) \\ \therefore \:f(x) = 2x ^{2} + 8x - x - 4 \\ \therefore \:f(x) = 2x ^{2} + 7x - 4 \\ [/tex]
If f(x) = 5x + 40, what is f(x) when x = –5? –9 –8 7 15If f(x) = 5x + 40, what is f(x) when x = –5? –9 –8 7 15
Answer:
15
Step-by-step explanation:
The value of f(x) when x = -5 is 15
How to determine the valueFrom the equation
f(x) = 5x + 40
Substitute the value of x = -5
We have,
f(x) = 5(-5) + 4=
f(x) = -25 + 40
f(x) = 15
Therefore, the value of f(x) when x = -5 is 15
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The length of a rectangle is 7 inches less than its width. The perimeter of the
rectangle is 54 inches. Find the length and the width of the rectangle. Explain your
reasoning.
Answer:
8 in.
Step-by-step explanation:
Perimeter of a rectangle, P = 2(L + W)
Value of P = 46.
Length is 7 inches less than the width. This translates to L = W - 7
Substitute L = W - 7 into the perimeter equation, you get
46 = 2(W - 7 + W)
46 = 2(2W - 7)
46 = 4W - 14
4W = 60
W = 60 / 4 = 15 in
L = W - 7 = 15 - 7 = 8 in
The width and length of the rectangle in inches are 17 and 10 respectively.
What is perimeter ?Perimeter is the sum of the lengths of all the sides of a given plane figure.
According to the given question the length of a rectangle is 7 inches less than its width.
Assuming the width of the rectangle is x inches.
∴ From the given data length of the rectangle is ( x - 7) inches.
Given perimeter is 54 inches.
We know perimeter of a rectangle is 2( length + breadth).
∴ 2{ x + ( x - 7) } = 54.
2 { 2x - 7 } = 54
4x - 14 = 54
4x = 54 + 14
4x = 68
x = 17.
So, the width of the rectangle is 17 inches and length of the rectangle is (17 - 7) inches which is 10 inches.
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Which expression is equivalent to –2(5x – 0.75)? 10x – 0.75 10x + 0.75 –10x – 1.5 –10x + 1.5
Answer:
D
Step-by-step explanation:
i got it right
Answer: D -_-
Step-by-step explanation: Because its on edge
Simplify by combining like terms: -4\left(2x-y\right)+y+5\left(x+y\right)−4(2−)++5(+) − 4 ( 2 x − y ) + y + 5 ( x + y ) ; use NO spaces when typing in your answers.
Answer:
-3x+10y
Step-by-step explanation:
Given the expression [tex]-4\left(2x-y\right)+y+5\left(x+y\right)[/tex], we are to simplify by combining the like terms. On simplification we have;
[tex]= -4\left(2x-y\right)+y+5\left(x+y\right)[/tex]
Open the parenthesis:
[tex]= -4(2x)-4(-y)+y+5(x)+5(y)\\\\= -8x+4y+y+5x+5y[/tex]
Collect the like terms:
[tex]= -8x+5x+4y+y+5y[/tex]
Sum up the resulting expression
[tex]= -8x+5x+4y+y+5y\\= -3x+10y[/tex]
Hence the required expression on simplification is -3x+10y
Multiply 546.1 x 0.52 =
Answer:
283.972
Step-by-step explanation:
i just know
Answer: 283.972
Step-by-step explanation: You have to use long multiplication to evaluate the equation.
I hope this helps you out.
7. Bryce is making a model building.
He raises the walls of the building
by 2 centimeters five times. By how
many centimeters does Bryce raise
the walls all together?
(A) 2 cm
© 10 cm
(B) 5 cm
D20 cm
After raising the walls of the building of height 2cm 5 times the height of the wall will be 10cms.
What is multiplication ?Multiplication is a short hand of addition like if we have to add 2 by100 times it is same as multiplying 2 with 100 which is 200.
According to the given question Bryce is making a model building.
Said that he raises the walls of the building by 2 centimeters five times.
So, Either we can sum 2 centimeters 5 times which is (2 + 2 + 2 + 2 + 2) which is
= 10cms.
Or we can multiply the height of the building which is 2 cm by the no. of times he raised it which is 5.
∴(2×5) = 10cms.
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The number of customers to visit a local small businesses 51,200 and has been continuously declining at a rate of 3.8 each year what is the approximate number of customers that visit the business in 14 years
Answer:
=30076 customers
Step-by-step explanation:
Number of customer= 51,200
rate of declination=3.8 %= 0.038
We will use the expresion below in calculating the approximate number of customers that visit the business in 14 years.
A=Pe^(rt)
Where P=initial amt,
r=annual rate of growth or decline,
A=amount after t years.
37800=Pe^.017t
51200=Pe^0.038
P= 51200/e^(0.038*14)
But e^(0.038*14)= 1.7023
P= 51200/1.7023
P=30076
Approximate number of customers that visit the business in 14 years≈30076
In its first year a manufacturer had a financial loss of 3,000 in its second year the manufacturer had a financial loss of 500 How much greater in dollars was the financial loss in the first year than the financial loss in the second year
Answer:
[tex]D = \$2500[/tex]
Step-by-step explanation:
Given
Represent the financial los s in the first year as F1 and the second year as F2
[tex]F_1 = \$3000[/tex]
[tex]F_2 = \$500[/tex]
Required
How much is greater is F1 than F2
What this question implies is that; the difference between both finan cial losses be calculated;
Represent the difference with D
[tex]D = F_2 - F_1[/tex]
Substitute values for F1 than F2
[tex]D = \$3000 - \$500[/tex]
[tex]D = \$2500[/tex]
Hence, the calculated difference is $2500
Ten children measured how high they could jump. The results they recorded, in inches, were as follows: 8, 9, 8, 6, 8, 12, 9, 10, 11, 16 What is the median of these measures?
A. 8 in.
B. 9 in.
C. 9.5 in.
D. 10 in.
E. None correct
Answer:
b) 9 in
Step-by-step explanation:
To find median arrange the data in ascending order and count the number of data's. if the total number of data is odd number, then (n/2)th term is the median.
If the total number of data is even, then Average of (n/2)th term and (n/2)+1 th term is the median
Ascending order:
6, 8, 8 , 8 , 9 , 9 , 10 , 11 , 12 , 16
total = 10. so even number
Median = average of 5th term and 6th term
=(9+9)/2
= 18/2
= 9
cos a cosec a Vseca - 1 = 1
Answer:yes 1 =-1
Step-by-step explanation:
Gray gob you are correct
a rectangular prism is 12 cm long 6 cm wide and 5cm high what's the volume of the rectangular prism
Answer:
360
Step-by-step explanation:
rectangular prism volume = Width * Length * Height
Width = 5
Length = 12
Height = 6
volume = 360
The volume of the rectangular prism is of 360 cubic centimetres.
------------------------------
The volume of a rectangular prism with length l, width w and height h is given by:
[tex]V = lwh[/tex]
------------------------------
In this problem:
12cm long means that [tex]l = 12[/tex]6 cm wide means that [tex]w = 6[/tex]5 cm high means that [tex]h = 5[/tex].Thus, the volume, in cubic centimetres, is of:
[tex]V = 12 \times 6 \times 5 = 360[/tex]
A similar problem is given at https://brainly.com/question/23756783