Answer:
The step to take to avoid fraction is to solve for y in equation 2
Step-by-step explanation:
Given
-9x+ 4y =- 10
-9x+ 3y = 3
Required:
Step for solving using substitution (avoiding fraction)
Let -9x+ 4y =- 10 represent equation 1
and -9x+ 3y = 3 represent equation 2
The following points are to be noted
Solving for x or y in equation 1 will definitely lead to having fractionsSolving for x in equation 2 will also lead to having fractionsHaving said that, the step to take to avoid fraction is to solve for y in equation 2
Check
[tex]-9x+ 3y = 3[/tex]
Add 9x to both sides
[tex]9x-9x+ 3y = 3 + 9x[/tex]
[tex]3y = 3 + 9x[/tex]
Divide through by 3
[tex]\frac{3y}{3} = \frac{3 + 9x}{3}[/tex]
[tex]y = \frac{3 + 9x}{3}[/tex]
Split fraction
[tex]y = \frac{3}{3} + \frac{9x}{3}[/tex]
[tex]y = 1 + 3x[/tex]
At the point, the expression of y can then be substituted in equation 1
Answer: solve for y in the second equation
Step-by-step explanation:
I got it right on edenuity
1. Jin fills up a 510-gallon pool in the backyard for her children. She fills it with the garden hose at a rate of 17 gallons per minute. After it is filled, she lets it sit for 30 minutes in order to let the water temperature rise. The children then get in and have fun for an hour. The pool loses about _1_ gallon of water each minute due to Time (minutes) Amount of Water (gallons) 0 5 20 30 45 60 80 100 120 150 200 2 their splashing and playing. At the end of the hour, they tear the pool while getting out, which causes a leak. The pool then begins to lose water at a rate of 2 gallons per minute. a. Complete the table to show the amount of water in the pool after each minute. b. Create a graph to model the problem situation. Include when the pool will be empty. c. Write a piecewise function that models this problem situation. Explain your reasoning for each piece of the function. d. Identify the x- and y-intercept. Explain what they mean in terms of the problem situation. e. Determine when the pool will have 470 gallons of water in it. Identify the piece(s) of function you used. Explain your reasoning. 2. Jin asks her children to pay her back for the damaged pool. They must give her $15 per week. Together they have $165 in a savings account. a. Write a function to represent the amount of money they have after x weeks. Describe the domain and range of this function in terms of the problem situation. b. To rebuild their account, the children will receive a combined $15 per week in allowances. They start saving the week after their account is depleted and save for another 11 weeks. What are the domain and range of this function and what do they mean in terms of the problem situation? Write a function to represent this part of the graph. c. Graph the equations on the same grid. Is the graph continuous or discrete? Explain your reasoning. d. Write a function to represent the entire graph.
Answer:
The answer is B
Step-by-step explanation:
Srry it was so late
Random sample size of 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. the mean and the standard error of the mean are?
Answer:
the mean and standard error of the mean are 200 and 2 respectively.
Step-by-step explanation:
Given that ;
the sample size n = 81
population mean μ = 200
standard deviation of the infinite population σ = 18
A population is the whole set of values, or individuals you are interested in, from an experimental study.
The value of population characteristics such as the Population mean (μ), standard deviation (σ) are said to be known as the population distribution.
From the given information above;
The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.
i.e
[tex]\mu = \bar \mu_x[/tex] = 200
∴ The mean = 200
and the standard error of the mean can be determined via the relation:
[tex]\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}[/tex]
[tex]\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}[/tex]
[tex]\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}[/tex]
[tex]\mathbf{standard \ error \ of \ mean =2}[/tex]
Therefore ; the mean and standard error of the mean are 200 and 2 respectively.
Question 3 of 10
2 Points
Is ABC= DEF? If so, name the congruence postulate that applies.
GO
E
Given:
AB DE
BC EF
CA = FD
A
C
D
F
O A. Might not be congruent
B. Congruent - SSS
O C. Congruent - SAS
D. Congruent - ASA
Answer: B
Step-by-step explanation:
Should be B because there are no given angles.
The congruence postulate that applies is the SSS postulate
Properties of similar triangles
Triangles are known to be similar if the ratio of their sides is the same and they have equal angles
From the given diagram, we can see that the measure of the similar sides of the triangles is the same, hence we can conclude that the triangles are similar to the Side-Side-Side congruence triangle.
Learn more on SSS theorem here: https://brainly.com/question/4163594
What are the solutions to the nonlinear system of equations below?
Check all that apply.
x² + y² = 9
[tex] {x}^{2} \frac{ {3}^{2} } - {y}^{2} \frac{ {3}^{2} } = 1[/tex]
Answer:
B, E
Step-by-step explanation:
[tex]x^{2} +y^{2}=9[/tex]
[tex]\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]
[tex]x^{2} =9-y^{2} \\\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]\frac{9-y^{2} }{3^{2} } -\frac{y^{2} }{3^{2} }=1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]\frac{1}{9} * (9-y^{2} )-\frac{y^{2} }{9} = 1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]1-\frac{2y^{2} }{9} =1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]-\frac{2y^{2} }{9} =0[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]y^{2} =0[/tex]
[tex]x^{2} =9-y^{2}\\y=0[/tex]
[tex]x^{2} =9\\y=0[/tex]
[tex]x=3 \\y=0\\\\or\\\\x=-3\\y=0[/tex]
Anne buys her store's art supplies from a wholesaler. She purchases 8 canvases that are 16 by 20 inches for $7.16
each. How much profit does Anne make on the sale of these 8 canvases?
OA. $35.92
OB. $45.63
OC.
$57.28
OD. $86.04
Answer:
OC. $57.28
Step-by-step explanation:
It depends on how much she sells them for.
Let's say Anne sells them for $x.
Then her profit is:
8x-(8*7.16)
=8x-57.28
To make a minimum to at least make even is $57.28 and sell for $7.16 a piece.
Anne makes a profit of $57.28 on the sale of these 8 canvases. which is the correct answer would be option (C).
What is the profit?The profit is equal to the difference between the selling price and the original cost price.
Anne purchases art supplies for her business from a wholesaler. She spends $7.16 on eight 16 by 20-inch canvases.
To calculate the profit that Anne makes on the sale of these 8 canvases, you need to know the price at which she sells them and the cost of buying them from the wholesaler. If the cost of each canvas is $7.16 and she buys 8 of them, the total cost of the canvases is :
⇒ 8 × $7.16
Apply the multiplication operation and we get
⇒ $57.28.
Therefore, she makes a profit of $57.28 on the sale of these 8 canvases.
Hence, the correct answer would be an option (C).
To learn more about the profits click here:
https://brainly.com/question/15036999
#SPJ5
psllslsslslslsl help ASAP BRAINLIST
Answer:
24.94
Step-by-step explanation:
To find shipping and handling take the price and multiply by the shipping and handling percent
464 * 5.375%
Change to decimal form
464 * .05375
24.94 for shipping and handling
What is the solution of the equation 6x - 3 = -51?
OA.
-9
OB.
-8
O c.
00
OD.
9
Answer:
x = -8
Step-by-step explanation:
[tex]6x - 3 = -51?\\To - find-x- collect-like-terms.\\6x=-51+3\\6x =-48\\Divide-both-sides-of-the-equation-by-6\\\frac{6x}{6} = \frac{-48}{6} \\x = -8[/tex]
solve simultaneous equations 5x+2y=13 2x+6y=26
Answer:
x = 1 and y = 4
Step-by-step explanation:
5x+2y+2x+6y = 39
7x+8y = 39
Trial and error method:
the answer that satisfies the equation are: x = 1 and y = 4
Hope this helps.
Good Luck
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
5x + 2y = 13 → (1)
2x + 6y = 26 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the term in y
- 15x - 6y = - 39 → (3)
Add (2) and (3) term by term to eliminate y
- 13x = - 13 ( divide both sides by - 13 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
5(1) + 2y = 13
5 + 2y = 13 ( subtract 5 from both sides )
2y = 8 ( divide both sides by 2 )
y = 4
Solution is (1, 4 )
In 300 people 60% liked to visit Pokhara, 35% liked chitwan and 20%
didn't like both places, find the number of people who like both, also
draw Venn-diagram.
Ans:45
Please see the attached picture for full solution
hope it helps....
Good luck on your assignment.......
The ideal mass for a piece of chocolate is 2.5 ounces. The actual mass for a production can vary by, at most, 0.08
ounces. Create an absolute value inequality and solve it to determine the range of chocolate masses.
Answer:
The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is: [tex]|mass - 2.5| < 0.08[/tex]
Step-by-step explanation:
The ideal mass of the chocolate is 2.5 ounces, although it can vary by 0.08 ounces, this variation can occur for greater masses and lesser ones. Therefore the actual mass of the each chocolate will sit between the ideal mass minus 0.08 and the ideal mass plus 0.08. Therefore we can construct the following inequality:
[tex]-0.08 < mass + 2.58 <0.08\\ |mass - 2.5|< 0.08\\[/tex]
The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is: [tex]|mass - 2.5| < 0.08[/tex]
Simplify:
2[3-5(2+1)2 + 5]
Select one
O a. -74
O b. 89
O c. 14
O d. 74
So the right answer is -74.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = ( - 74)[/tex]
Step-by-step explanation:
[tex]2(3 - 5 {(2 + 1)}^{2} + 5) \\ 2(3 - 5(2 + 1)(2 + 1) + 5) \\ 2(3 - 5 \times 3 \times 3 + 5) \\ 2(3 - 15 \times 3 + 5) \\ 2(3 - 45 + 5) \\ 2( - 42 + 5) \\ 2( - 37) \\ 2 \times - 37 \\ = - 74[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
if 588 digits were used to number the pages of a book how many pages are in this book.
PLEASE HELP!!!!!!
Answer: 232 pages
Step-by-step explanation:
Total digits = 588
1 digit page number:
1 to 9 = 1 × 9 = 9
Number of pages = 9/1 = 9
2 - digit page number :
10 - 99 = 2 × 90 = 180
Number of pages = 180/2 = 90
3 - digit page number :
588 - (9 + 180) = 588 - 189 = 399
Number of pages with 3 - digits = 399/3 = 133
Therefore, the total number of pages the book has is :
(9 + 90 + 133) = 232 pages
Q.2. A cricketer scores the following runs in eight innings :
58, 76,40, 35, 46, 45,0, 100
What will be their mean score ?
a. 400
b. 50
c. 200
Q.3. What will be the range of following data ?
32 , 41 , 28, 54, 35, 26,33 , 23, 38, 40
b. 23
c. 31
a. 25
Answer: Mean Score = 50 Range = 31
Step-by-step explanation:
58+76+40+35+46+45+0+100=400
400/8=50
Range = subtract smallest number from largest number
54 - 23 = 31
What is the solution to the system of equations
Y= 2/3*x + 3
X= -2
Answer:
y=-4/3+3 you would multiply the numerator by X
Answer:
( - 2, 1 and 2 / 3 )
Step-by-step explanation:
Check the procedure below;
[tex]y = 2 / 3 * x + 3,\\x = - 2\\\\y = 2 / 3 * ( - 2 ) + 3,\\y = - 4 / 3 + 3,\\y = 5 / 3,\\x = - 2\\\\Conclusion; y = 5 / 3, and, x = - 2[/tex]
To derive this solution, we substituted the known value of x into the top equation, to receive the y value;
Solution - ( - 2, 5 / 3 )
A rectangular park has 2 paths of width 2m running across it. What is the total area covered by the 2 paths ?
Answer:
10m.
Step-by-step explanation:
Add up all the areas of the running path and then you can reach to the answer. I got 10m and most probably it should be that only.
PLEASE HELP I NEED UR HELP!!! 6-y+3
Answer:9-y
Step-by-step explanation:6-7+3= 9-y
Simplified
Answer:
9-y
Step-by-step explanation:
6-y+3=
6+3-y=
9-y
If you were solving for y, then you need to provide a solution for 6-y+3.
If you were solving for the solution, then you need to give y a value.
If you needed to simplify it, then see my answer.
Evaluate: 8*2 + 3*5 - 10 + 4^{2}
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Step-by-step explanation:
h(x) = (x-11)(x+3)
= x^2 + 3 - 11x - 33
= x^2 - 11x -30
Answer:
11 seconds
Step-by-step explanation:
did it on khan
Can someone please help me :((
Answer:
Step-by-step explanation:
|x| fails the horizontal line test, so these two functions as presented are NOT inverses of one another.
However, if we look ONLY at x < 0, the functions ARE reciprocals; a horizontal line passes through the graph of |x| only once.
What’s 600 divided by 5
The calculated division of the numbers 600 divided by 5 is 120
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
600 divided by 5
When represented as an equation, we have
600 divided by 5 = 600/5
Divide 7 by 4
So, we have the following result
600 divided by 5 = 120
Using the above as a guide, we have the following:
the result is 120
Read more about quotient at
brainly.com/question/11418015
#SPJ6
Ken predicts that the average temperature will be-5C in Decjember. If he predicts the temperature will rise 6 C in January and fall 3 C in February,which of the following equations can he use to fin. the sum of the temperatures for those months?
Answer:
-5+6-3
Step-by-step explanation:
DUH!!!!!
Answer:
[(–5) + (–3)] + 6 = –2 and [6 + (–5)] + (–3) = –2
Step-by-step explanation:
DUH!! (as one guy said) this time im right tho.
Solve the following formula for the specified variable.
B =1/2m(r + k) for r
Answer:
(2B/m) - k = r
Step-by-step explanation:
B =1/2m(r + k)
Multiply each side by 2
2B =m(r + k)
Divide each side by m
2B/m = m/m (r+k)
2B/m =(r+k)
Subtract k from each side
(2B/m) - k = r+k-k
(2B/m) - k = r
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
10, 17, 24, ...
Find the 33rd term.
Answer:
234
Step-by-step explanation:
The consecutive terms of the sequence have a common difference d
d = 17 - 10 = 24 - 17 = 7
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = 7 , thus
[tex]a_{33}[/tex] = 10 + (32 × 7) = 10 + 224 = 234
what is the range of the cubic function f(x)=x^3-15
.............................PLease help
Answer:
12
Step-by-step explanation:
Take the right side of the box and subtract the left side of the box to get the interquartile range
85 - 73 = 12
What is x+r if x =4 and r=5
Answer:
9
Step-by-step explanation:
x + r. Substitute
4 + 5 Add
9
Point B lies between points A and C on AC. Let x
represent the length of segment AB in inches.
V
Use the segment to complete the statements.
The value of x is
The length of AB in inches is
A
B
3x
с
The length of BC in inches is
20 inches
Answer:
see below
Step-by-step explanation:
Since AB + BC = AC, x + 3x = 20 → 4x = 20 → x = 5.
AB = x = 5 and BC = 3x = 3 * 5 = 15.
answer is this down below
5
5
15
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!!!!!
Answer:
Step 2.
Step-by-step explanation:
When you have a coefficient on a side of the equation that you need to get rid of, you must divide by the number. For example, in the problem:
3(x+8)² = 75
Here, you need to divide both sides by '3' instead of multiplying, which was done instead. Then you get:
(x+8)² = 25.
Therefore, his mistake was made at Step 2.
What is the simplified form of each expression? a. 108 b. (0.2)5
Answer:
a. 108
b. 2.5
Step-by-step explanation:
a. ex: 108 = 108
b. ex: 5/2 = 5/2
convert to a decimal
2.5
. . .
Please help me with my homework!!!!!