what is the answer? i need help please!! 9 - 3 divided by 1/3 + 1
Answer:
1
Step-by-step explanation:
9 - 3 divided by 1/3 + 1 = 1
Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the x term is eliminated? One-fifth x three-fourths y = 9 Two-thirds x minus five-sixths y = 8 –10 times the first equation and 3 times the second equation 10 times the first equation and 3 times the second equation –3 times the first equation and 5 times the second equation 3 times the first equation and 5 times the second equation.
You can use the fact that when coefficient of x variable are of equal magnitude but opposite sign, then adding them will make the coefficient 0, thus, making the x variable eliminated.
The numbers that can be multiplied by each equation so that when the two equations are added together, the x term is eliminated is given by
Option A: –10 times the first equation and 3 times the second equation
How does elimination works?This method is actually called method of elimination to solve a system of linear equations.
We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).
If we have equations:
[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]
then, if we want to eliminate variable x, then we have to multiply equation 1 with
[tex]- \dfrac{a_2}{a_1}[/tex]
which will make coefficient of x in first equation as
[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]
Then adding both equation will eliminate the variable x.
We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.
What is magnitude and sign?5 has 5 as magnitude, and sign isn't present which means its of positive (+) sign.
-5 has 5 as magnitude and sign is negative(-).
For this case, we're multiplying both the equations but the core concept or aim is same, ie, making the coefficients of equal magnitude but with opposite sign.
Using the above facts to get the numbers to multiply the equations of the given systemThe given system of equations is
[tex]\dfrac{1}{5}x + \dfrac{3}{4}y = 9\\\\\dfrac{2}{3}x - \dfrac{5}{6}y = 8[/tex]
Let two numbers be p,and q who multiply equation first and second respectively to make coefficient of x of equal magnitude but opposite sign.
We have
[tex]\text{Coefficient of x in first equation}= a_1 = \dfrac{1}{5}\\\\\text{Coefficient of x in second equation} = a_2 = \dfrac{2}{3}[/tex]
Multiplying with p and q will give us
[tex]p\times a_1 = \dfrac{p}{5}\\\\q \times a_2 = \dfrac{2q}{3}[/tex]
We need both resultant coefficient to add up to 0, or
[tex]p/5 + 2q/3 = 0\\p = -10q/3\\q = -3p/10[/tex]
Now in options, we see first equation is either getting multiplied with -10, 10, or -3,3
If we put q = 3, we get p = -10q/3= -10
If we put q = -3, we get p = 10
If we put q = 5, we get p = -50/3
Thus only first choice is matching the correct pairs.
Thus,
The numbers that can be multiplied by each equation so that when the two equations are added together, the x term is eliminated is given by
Option A: –10 times the first equation and 3 times the second equation
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I know i am 2 weeks late but the answer is B, Have a good day :))
110.94 as a percentage
Answer:
Hey! I believe this is your answer:
11094%
Step-by-step explanation:
function a and function b are linear functions. function a is represented by the table values. function b is represented by the equation y=3x+4
The y-intercept of B is greater than the y-intercept of A and the rate of change of function A is less than the rate of change of B
Linear functionsThe standard linear equation is expressed as y = mx + b
For the given table;
The y-intercept occur at x = 0
y = 3x + 4
y = 3(0) + 4
y = 4
For the table;
Using the coordinate points (1, 2) and (3,10)
rate of change "m" = 10-2/3-1
m = 8/2
m = 4
Recall that y = mx + b
2 = 4(1) + b
b = -2
Hence the y-intercept of B is greater than the y-intercept of A and the rate of change of function A is less than the rate of change of B.
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Help me fast asap this is due by the end of class
Answer:
D
Step-by-step explanation:
-12/6= -2
x^10/x^8= x^2
y^3/y= y^2
Drag the slider to change the value of h, and observe the effect of h on the graph of the cosine function.
When h = π, the orange graph shifts ____ units to the ______
When h = −π, the orange graph shifts ____ units to the ______
Answer:
1: pi, right
2: pi, left
3: coincides with
Step-by-step explanation:
When h = π, the orange graph shifts pi units to the right. When h = −π, the orange graph shifts pi units to the left.
What is mathematical graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between multiple things are frequently represented by the points on a graph. Here, for example, we can plot a graph showing the type and quantity of school supplies in use by pupils in a class based on the data provided below.
A bar graph can also be used to display the data. Bar graphs show how many of each supply there are. The more supplies or goods are used, the higher the bar's height. When h = π, the orange graph shifts pi units to the right. When h = −π, the orange graph shifts pi units to the left.
Therefore, when h = π, the orange graph shifts pi units to the right. When h = −π, the orange graph shifts pi units to the left.
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Work out the value of the missing angle x
Answer:
x = 75°
Step-by-step explanation:
sum of interior angles of any polygon can be found using this formula:
(n-2)·180°, where 'n' is the number of sides
the shape in this problem has 6-sides, a hexagon
(6-2)·180 = 720°
x + 281 + 24 + 157 + 84 + 99 = 720
x + 645 = 720
x = 720-645
x = 75°
Michael sells appliances and receives a salary of $125 per week plus a 5% commission on all sales over $750. How much does he earn in a week in which his sales amount to $2130
Draw the graph of the following equation: y+4x=0
Answer:
The graph attached
Step-by-step explanation:
(y+4x=0) equals y = -4x which means it goes down 4 and to the right one starting at the origin.
( I WILL GIVE BRAINLYLIST I NEED HELP ASPA) after doing a straight line, what is an APPOXIMMATE equation in a slope interecpt form (y=mx+b) of the line you drew in the scatterplot above?
Answer:
y=4x+1
Step-by-step explanation:
Find the slope=rise/run. Use plot points to find intercept. 3=4(.5)+b, 3=2+b, 1=b
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
x = 26°
Explanation:
Here we can see that both angles are parallel to each other.
so an equation can be formed to solve:
x = y
4p - 6 = 2p + 10
4p - 2p = 10 + 6
2p = 16
p = 8°
if p is 8 then we can find angle x:
x = 4p - 6
x = 4(8)-6
x = 26°
To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that the total weight was 4 pounds.
What is the quotient of 4 and 13?
Ratio and proportion. if 2:x=5:8. Find x
analyze problem
5/2=3.5
8/3.5=
16/7=
2 2/7
Organize the following polynomial expressions from least to greatest based on their degree: x 2xyz 3x y z 2x3y y2x − 3x 4 9x3yz II, III, I, IV III, I, IV, II I, II, IV, III II, I, III, IV.
Using polynomial concepts, it is found that the sorting of the polynomial expressions from least to greatest based on their degree is given by: I, III, II, IV.
What is the degree of a polynomial?The degree of a polynomial is given by it's largest exponent.
In this problem, the polynomials are given by:
I: x + 2xyz.II: 9x³y².III: 18x² + 5ab - 6yIV: [tex]4x^4 + 3x^2 - x - 4[/tex]Hence, the respective degrees are: 1, 3, 2, 4, and the ordering from least to greatest is: I, III, II, IV.
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Can you anyone please help me?
Answer:
Well do you know the butterfly method
you multiply 2 by x+1 and 4 by x + 2
Step-by-step explanation:
2(x+1) + 4(x+2) = 3(x-3) -2(x - 1)
2x + 2 + 4x + 8 = 3x - 9 - 2x + 2
2x + 4x +8 = 3x - 2x -9 +2
6x + 8 = x -7
6x - x = -7 -8
5x = -15
x = -15/5
x = -3
Answer:
x = - [tex]\frac{29}{7}[/tex]
Step-by-step explanation:
[tex]\frac{x+1}{4}[/tex] + [tex]\frac{x+2}{2}[/tex] = [tex]\frac{x-3}{2}[/tex] - [tex]\frac{x-1}{3}[/tex]
Multiply through by 12 ( the LCM of 4, 2, 3 ) to clear the fractions
3(x + 1) + 6(x + 2) = 6(x - 3) - 4(x - 1) ← distribute parenthesis on both sides
3x + 3 + 6x + 12 = 6x - 18 - 4x + 4 , that is
9x + 15 = 2x - 14 ( subtract 2x from both sides )
7x + 15 = - 14 ( subtract 15 from both sides )
7x = - 29 ( divide both sides by 7 )
x = - [tex]\frac{29}{7}[/tex]
A 115-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
4x + x = 150, x=30 (shorter piece)
5x=150
x=150/5 = 30
4x=120
x=30
total = 150
Pls help!! And show work thank you
Answer:13 and 12
Step-by-step explanation: the pattern is add 2 then minus one. But then the 2 continues to 3 4 5 and so on. So u add 5 to 8 which gives 13 then minus 1 again to get 12
Answer:
13,12
Step-by-step explanation:
from 2 it goes up by 2 to get 4 then subtracts by 1 to get 3, then goes up by 3 to get 6 then subtract one to get 5, then it goes up by 4 to get 9 then goes down by 1 to get 8.
Following the pattern, go up by 5 to get 13 then subtract 1 to get 12
If there is a positive correlation between number of years of education and the amount of vacation time, which of the following careers would you expect to have the most vacation time? a. Police officer, associates degree b. Accountant, bachelor’s degree c. Lawyer, master’s degree d. Pharmacist, docotorate degree Please select the best answer from the choices provided A B C D.
You can use the fact that it needs longest time to do doctorate degree than any of the other degrees mentioned here.
The career to be chosen that will have the most vacation time is given by
Option D: Pharmacist, doctorate's degree.
How to choose the career to achieve the longest vacation time?Since it is given that there is positive correlation between number of years of education and the amount of vacation time, that means, as the number of years of education will increase, due to positive correlation, the amount of vacation time will increase too.
Two datasets having positive correlation move together(depending on how positive the correlation is (from (0,1] ), the more positive, the more together they move in same direction)
Negative correlation implies opposite movement.
Since doctorate's degree is of the longest length among other degree's given, thus,
The career to be chosen that will have the most vacation time is given by
Option D: Pharmacist, doctorate's degree.
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Answer:
b
Step-by-step explanation:
Gabby bought 6 pizzas for her class to celebrate her birthday. She had each pizza cut slices. If she gave away 26 slices, what fraction of all the pizza was left?
Answer:
depends on how many slices was cut into each pizza
Step-by-step explanation:
if it was 6 from each then it would be 10/36 and if it was more then more slices would have been left.
[tex]\qquad\huge\underline{\boxed{\sf \: Question}}[/tex]
Easy one ~
no plagiarism nd spammers kindle stay out :)
So here's gives that
total weight of 25 bags = 50 x 25
= 1250
total cost of 25 bags weighing 50 kg is = 15000
cost of 1 kg = 15000 ÷ 1250 = 12
now total weight of 15 bags weighing 30 kg = 450
cost per kg = 12
cost of 15 bags weighing 30 each = 450 x 12
Answer = 5400 rupees.
Do the ratios 2/1 and 16/8 form a proportion?
The students in Steven's class got to choose between pizza and burgers for the
celebration on the last day of school. 19 students picked the pizza and 1 student picked the
burgers. What percentage of the students picked the pizza?
Pls help me
Q.1 Round off 20.0417 to the nearest 2 decimal point.
Answer:20.04
Step-by-step explanation: The answer is 20.04 because we have to round in 2 decimal point and 4<5 so 4 is not changed.
brainliest if correct
[Image: A coordinate plane ranging from 5 to –5 counting by 1s.]
Vertex C and vertex D are plotted on the graph. Plot vertexes A and B to form a rectangle with an area of 36 square units. Plot vertex E at (2, 4).
please help me with how to answer this question
Answer:
pt C is (-4,-4)
pt D is (2,-4)
length of CD is 6 units
to form a rectangle AB must be parallel to CD, AC must be parallel to BD and AC and BD must be 6 units
Step-by-step explanation:
Got this froma fellow user. "Dlalex2316"
If it's wrong im sorry :(
PLEASE HELP WITH THIS PLEASE.
Answer:
1, 7
Step-by-step explanation:
(3+i)(1+2i)
=3+6i+i+2i^2
=3+7i+2i^2
=1+7i
a = 1
b = 7
i^2=-1
Part A
Write an expression for the speed of Luna I in kilometers/minute. Represent this expression as a quotient of two numbers expressed in scientific notation.
The distance between Earth and the moon is 3.8 x 10^3 Kilometers. The time taken to travel this distance was 2.1 x 10^3 Minutes.
The formula to calculate speed is Speed = distance/time.
So, the speed of Luna I was 3.6 x 10^3 / 2.1 x 10^3 Kilometers/Mintues.
Answer:
Part a =
The distance between Earth and the moon is 3.8 x 10^5 kilometers. The time taken to travel this distance was 2.16 x 10^3 minutes.
The formula to calculate speed is speed = distance/time.
So, the speed of Luna I was 3.8 x 10^5/2.16 x 10^3 kilometers/meters.
Part b =
The expression from part A is 3.8 x 10^5/2.16 x 10^3 kilometers/meters. Break the expression into the product of two fractions, one fraction for the first factors and the other for the powers of 10.
3.8/2.16 x 10^5/10^3
Part c =
3.8/2.16 x 10^5/10^3
Using division, the value of the first fraction is 3.8/2.16 = 1.759 = 1.76.
Using the properties of exponents, the value of the second fraction is 10^5/10^3 = 10^5 x 10^-3 = 10^ 5 - 3 = 10^2.
3.8/2.16 x 10^5.10^3 = 1.76 x 10^2
Part d =
The value 1.76 x 10^2 is written in scientific notation. So, the average speed of Luna I was 1.76 x 10^2 kilometers/minute.
Step-by-step explanation:
Answer in bold. All edmentum answers :)
The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t). What does the second coordinate of the vertex of the quadratic function represent? the minimum height of the baseball the time at which the baseball hits the ground the time at which the baseball hits the maximum height the maximum height of the baseball.
Answer:
D
Step-by-step explanation:
the max height of ball
y-coordinate represents the maximum height of the baseball.
What is Coordinate System?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Given that the height of a baseball hit from a bat is modeled by a quadratic function of time, h(t).
The vertex of a quadratic function is a point on the graph that is the highest or lowest point of the graph.
The coordinate of the vertex is represented as (x, y).
The x-coordinate of the vertex represents the time at which the baseball hits the maximum height, and
the y-coordinate represents the maximum height of the baseball.
Hence, y-coordinate represents the maximum height of the baseball.
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What is the mean of the data set?
8, 16, 9, 11
Answer:
The answer is 11
Step-by-step explanation:
Add all the numbers together
8+16+9+11=44
Then divide by 4 because there are only 4 numbers
so your answer would be 11
help me plz no links plz
Step-by-step explanation:
the orginal price was$90 because she paid $8 less than the actual price so 82 plus8 =90
Answer:
Paula's ski jacket originally cost $180
Step-by-step explanation:
First we write an equation for this problem
x = original price
[tex]\frac{1}{2}x-8=82[/tex]
[tex]\frac{1}{2}x=90[/tex]
Multiply by 2 on both sides
[tex]2*\frac{1}{2}x=2*90[/tex]
[tex]x=180[/tex]
Paula's ski jacket originally cost $180
Have a nice day!
Please mark as brainiest if it worked or ask me a question if you do not understand :)
12) A basketball player has a 50% chance of
making each free throw. What is the
probability that the player makes at most
eight out of ten free throws?
Answer:
13/4096
Step-by-step explanation:
There are 12 ways the player can make 11 shots and miss one shot, and there is 1 way the player can make all shots, so there is a total of 13 ways that the player makes at least 11 out of 12 free throws.
The total number of possibilities for the free throws is 2^12 = 4096
Therefore, the probability that the player makes at least 11 out of 12 free throws is 13/4096
