-1/3x-4/3y=2
1/3x-2/3y=4
First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition
Adding the two equations together gets
-6/3y=6
Simplify
-2y=6
y=-3
Substitute back into original equation
1/3x-2/3(-3)=4
1/3x+2=4
1/3x=2
x=6
Answer
x=6, y=-3
Check answer
-1/3(6)-4/3(-3) =?= 2
-2+4=2
2=2
Done!
Bill has a bag of 24 marbles. 6 are blue, 12 are red, 3 are black and 3
are green. What are the percentages of each colour?
Answer:
Blue: 25%
Red: 50%
Black: 12.5%
Green: 12.5%
Step-by-step explanation:
Blue: [tex]\frac{6}{24} = 0.25[/tex]
Red: [tex]\frac{12}{24} = 0.5[/tex]
Black: [tex]\frac{3}{24} = 0.125[/tex]
Green: [tex]\frac{3}{24} = 0.125[/tex]
Teacher Jonna received 8 1/2 reams of paper from the school administration for this school year. She still has 1 5/8 reams of paper left from last year. Yesterday she used 2 3/4 reams of paper to make copies of a science activity for her students.How many reams of paper does she have left?
Answer:
She should have 8 5/8 reams of paper left
Evaluate the algebraic expression 4y + x - w, when w = 12, x = 10, y = 5 and z = 9.
Answer:
Step-by-step explanation:
4y+x-w
4(5)+10-12
20+10-12
30-12
=18
hope dis helps
Determine the translation.
Use non-negative numbers.
A translation by
units to the
right/left
and
units up/down
HELP PLEASE!!!***
Answer:
(X+4,Y+2) Or 4 units to the right, 2 units up.
Step-by-step explanation:
Count the units, remember X axis always goes first
Factor completely 64x^2-1
Answer:
(8x-1)(8x+1)
Step-by-step explanation:
64x^2-1
(take the square roots of both sides)
(8x-1)(8x+1)
The quadratic formula can be used to solve an equation only if the highest
degree in the equation is
Α. Ο
B. 3
C. 2
D. 1
Answer:
2
Step-by-step explanation:
A fireplace arch is to be constructed in the form of a semi ellipse. The opening is to have the height of 1 foot at the center and a width of 6 feet along the base. The contractor cuts a string of a certain length and nails each end of the string at the foci of the base in order to sketch the outline of the semi ellipse. What is the total length of the string?
Answer:
6 feet.
Step-by-step explanation:
Remember that the foci of the semi-ellipse are two points in the base of the semi-ellipse from where you can create the full perimeter of the semi-ellipse, basically form there you can sketch it. And the sum of both to the same spot in the perimeter always adds up to the same number.
To calculate it you just need to remember that the major axis is always equal to that rope that you use to draw the semi-ellipse and since the major axis is the same as the base the rope will be 6 feet.
6
8
10
2
2
-
C D
3
a.
n = 30
x = 3
b.
3
W = -
4
C.
d.
12 = 1 -
3
ما | نا
Please select the best answer from the choices provided
Ο Α
ОВ
Step-by-step explanation:
please write clearly and row wise understand problem
4/10m is the width and 8/10 is the height what is the area of the rectangle
Answer:
.32
Step-by-step explanation:
27:144 in the form of 1 : n
Answer:
( rounded to 3 decimal place ) 1 : 5.33...
Step-by-step explanation:
III
Test: Test 3
Determine whether the ordered pair (1,5) is a solution of the system.
3x - 5y = -22
2x + 4y = 18
Is (1,5) a solution of the given system?
No
Yes
Answer:
No
Step-by-step explanation:
The second equation is false
A paddle boat can move at a speed of 12 km/h in still water. The boat is paddled 8 km downstream in a river in the same time it takes to go 4 km upstream. What is the speed of the river?
!!!!!!!!!!!!!!!!!!!!!!!!×
Answer:
[tex] \frac{45}{10} - \frac{19}{10} = \frac{26}{10} [/tex]
Two lines have the same slope and y-intercept. Describe the graph of the system of equations representing the two lines.
Answer:
Parallel lines.
Step-by-step explanation:
If the two linear equations have the same slope (and the SAME y-intercept), the equations represent the same line. Since a line intersects with itself everywhere, there will be an infinite number of solutions (intersecting everywhere.)
If two equations have the same slope and the same y-intercept, then they are the same line and an infinite solution .
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have three cases in terms of slope and intercept:
The system has precisely one solution if the slopes of the two lines differ (whether the lines have the same intercept or different intercepts).There exists an infinite number of solutions to the system if they share the same slope and intercept, making them the same line.If they are parallel and have different intercepts but the same slope, there is no solution.So, The identical numerical values used for x and y in the first solution will also work for the second because these lines have an infinite number of solutions.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ5
what is Jenalle's position relative to sea level while on the boat? What should the altimeter read at this position?
Answer:
I think the altimeter read this position as 10.6 ft
hope it help you
Answer:
10.6
Step-by-step explanation:
An altimeter measures the altitude of an object above sea level.
And the picture shows that Jenalle's position is 10.6 ft above water.
So the altimeter would measure 10.6
Hope I helped :)
Please consider Brainliest :)
REWRITE IN FUNCTION FORM
Solve the formula for the red variable.
2y+ 5x = 6
7+5m=48
What’s the answer
Answer:
41/5
Step-by-step explanation:
7+5m=48
5m=41
m=41/5
which of the following is a prime number a23 b49 c 69 d27
Answer:
Hello
a.23
Step-by-step explanation:
49 is divisible by 7...
69 is divisible by 3..
27 is divisible by 3..
23 has only 1 and 23 as its factors.....
Is this statement true or false?
Ore is a chunk of rock that contains a large amount of metal. Most minerals come from rock that is mined from the Earth’s crust^,^
paano nararating ang mabuting pasya?
Answer:
mararating MO yan pang isipan mabuti lahat ng kilus at galaw Mag tanung sa mga tao mas nakakatanda sayo.
Simplify
Write your answer using only positive exponets.
[tex]x {}^{n} .x {}^{m} = x {}^{n + m} [/tex]
Similarly:[tex]x { }^{ \frac{1}{2} } .x {}^{ \frac{ - 1}{6} } .x {}^{ \frac{ - 5}{2} } = x {}^{ \frac{1}{2} - \frac{1}{6} - \frac{5}{2} } [/tex]
We have to achieve a common denominator which is 6 here:[tex]x {}^{ \frac{3 - 1 - 15}{6} } =x {}^{ \frac{ - 13}{6} } [/tex]
To change our exponent to positive:
[tex]x {}^{ \frac{ - 13}{6} } = \frac{1}{x {}^{ \frac{13}{6}}} = \frac{1}{ \sqrt[6]{x {}^{13} } } = \frac{1}{x \sqrt[6]{x} } [/tex]
help me please important
Answer:
Color the blank with the color that matches the fraction.
Step-by-step explanation:
if the fraction is 1/2, your color is green, 1/3 is orange, 9/12 is red, 5/6 is brown, 2/3 is purple, 1/3 is blue.
Sophie drove to the amusement park at a rate of 36 mph and arrived in 2.5 hours. How long will it take her to get home if Sophie drives 45 mph?
Answer:
Time= 2 Hours
Step-by-step explanation:
Using the formula attached we can first work out the distance from home to the amusement park. and then calculate the time it will take to get amusement park to home.
a) Distance= Speed x Time
= 90km
b) Time= Distance/speed
= 2 hours
Answer: 2 hrs
Step-by-step explanation: 36x2=72
1/2 of 36 is 18
72+18=90.
90mph/45 miles to cover = 2 hours.
A fraction bar. The top bar is labeled 1. 6 bars underneath the bar are labeled one-sixth. 12 bars underneath the 6 bars are labeled StartFraction 1 Over 12 EndFraction. What is StartFraction 4 Over 6 EndFraction divided by StartFraction 3 Over 12 EndFraction The quotient is .
15 POINTS
Answer:
its 2 and 2/5 the person above me is wrong
Step-by-step explanation:
Answer:
above me is correct
Step-by-step explanation:
Joann Brandy Mile in physical education class after resting for one hour her heart rate was 60 beats per minute if a heart rate was decreased by 2/5 what was her heart rate immediately after she ran the mile
ASAP.
A sphere has a radius of 15 inches. What is the volume of the sphere, in cubic inches? (Use 3.14 as an approximation of pi.)
Based on the calculations, the volume of this sphere is equal to 14,130 cubic inches.
Given the following data:
Radius of sphere = 15 inches.
[tex]\pi =3.14[/tex]
How to calculate the volume of a sphere.Mathematically, the volume of a sphere is given by this formula:
[tex]V=\frac{4}{3} \pi r^3[/tex]
Where:
V is the volume.r is the radius.Substituting the given parameters into the formula, we have;
[tex]V=\frac{4}{3} \times 3.14 \times 15^3\\\\V=\frac{4}{3} \times 3.14 \times 3375\\\\V=\frac{42390}{3}[/tex]
V = 14,130 cubic inches.
Read more on volume of a sphere here: https://brainly.com/question/20394302
What are the three steps to solve a quadratic equation?
Answer:
factoring, using the quadratic formula, and completing the square.
Step-by-step explanation:
-6(y+15) = -3 + 6
What value of y makes the equation true?
Answer:
Step-by-step explanation:
y+15 = (-3)/(-6) + 6/(-6)
y+15 = 1/2 -1
y+15 = -1/2
y = -15.5
8. Mr. Dietrich's class is 17/25 boys. What percentage of the class is boys? *
Answer:
68%
Step-by-step explanation:
Now we can see that our fraction is 68/100, which means that 17/25 as a percentage is 68%.
Answer:
68%
Step-by-step explanation:
17/25=x/100
100/25=4
17*4=68
A dairy researcher has developed a new technique for culturing cheese that supposedly ages the cheese faster than the traditional methods, without affecting other properties like texture or taste. To implement this new technique, the cheese company would need to initially spend millions of dollars retrofitting their manufacturing plant. But if it does actually reduce the aging time of their cheese, even marginally, it will lead to higher profits for the company over time.In an experiment the researcher uses both methods of culturing cheese to see if the new method significantlyreduces aging time.a.Write an appropriate null and alternative hypothesis for this experiment. (2pt)
Answer:
Null hypothesis: There is no significant difference in aging time of old methods of culturing cheese and the new method of culturing cheese.
Or
H0:μ1=μ2.
Alternative hypothesis: The new method of culturing cheese reduces aging time as compared to old method of culturing cheese
Or
Ha:μ1>μ2.
Step-by-step explanation:
We are interesting in investigating that whether the the new method of culturing cheese significantly reduces aging time compared to old method of culturing cheese. Null hypothesis always contain equality so, in null hypothesis we make the statement of no difference among both methods of culturing cheese. So, null hypothesis can be written as
Null hypothesis: There is no significant difference in mean aging time of old methods of culturing cheese and the new method of culturing cheese.
Or symbolically it can be written as
H0:μ1=μ2
whereas μ1 represents mean aging time for old method and μ2 represents mean aging time for new method.
Alternative hypothesis includes difference in methods which in this case is the claim about new method of culturing cheese reduces aging time. So, it means that mean aging time of old method will be greater than mean aging time of new method. So, the alternative hypothesis can be written as
Alternative hypothesis: The new method of culturing cheese reduces mean aging time as compared to old method of culturing cheese
Or symbolically it can be written as
Ha:μ1>μ2
whereas μ1 represents mean aging time for old method and μ2 represents mean aging time for new method.