Answer:
The value of x is 5 and the value of y is -2
Step-by-step explanation:
If the question is to determine the values of x and y, this can be related to the elimination method for solving simultaneous equations.
From the third linear equation, -13x = -65, the value of x can be determined.
-13x = -65
Divide both sides by -13
Then,
-13x/-13 = -65/-13
x = 5
∴ The value of x is 5.
To determine the value of y, the value of x is substituted into any of the first two equations. Say -10x + 5y = -60
-10x + 5y = -60
Substitute x = 5 into the equation
-10(5) + 5y = -60
-50 + 5y = -60
Add 50 to both sides
-50 +50 + 5y = -60 +50
Then,
5y = -10
Divide both sides by 5
5y/5 = -10/5
y = -2
∴ x = 5, y =-2
Hence, the value of x is 5 and the value of y is -2.
a box of chocolates contains four milk chocolates, four dark chocolates, and three white chocolates. you randomly select one chocolate. what is the probability that it is a milk or dark chocolate? (fractions)
a. 7/11
b. 16/121
c 4/11
d. 8/11
Answer:
D
Step-by-step explanation:
4+4=8 probability of success
4+4+3=11 total senario
therefore 8/11 is your probability of a success
A box of chocolates contains four milk chocolates, four dark chocolates, and three white chocolates. The probability that it is milk or dark chocolate is 8/11.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
The total number of milk chocolate = 4
The total number of dark chocolate = 4
The total number of white chocolate = 3
The total number of milk or dark chocolate = 8
Total number of chocolate a box contains = 11
The probability that it is a milk or dark chocolate = 8/11
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What is the measure of 1?
Please help
Which of the following are adjacent angles?
Answer:
The first option
Step-by-step explanation:
Adjacent angles are just two angles next to each other
At the beginning of the year, Blake had $35 in savings and
saved an additional $16 each week thereafter. Zoe started
the year with $80 and saved $13 every week. Let B
represent the amount of money Blake has saved t weeks
after the beginning of the year and let Z represent the
amount of money Zoe has saved t weeks after the
beginning of the year. Write an equation for each
situation, in terms oft, and determine the number of
weeks after the beginning of the year until Blake and Zoe
have the same amount of money saved.
Answer:
B=35+16t
Z=80+13t
15 weeks
Step-by-step explanation:
Let's start by writing our equations
B=35+16t
Z=80+13t
To figure out when they have the same amount we can set the equations equal to each other and solve for t
so we have
35+16t=80+13t
Subtract 13t and 35 from both sides to get
3t=45
Divide by 3 to get t=15
Find the slope of the line that passes
through the points (-6, -8) and (-6, 12).
Answer:
there isn't a slope, because this line isn't even a function, because it is a vertical line... so it doesn't pass the vertical line test...
Step-by-step explanation:
Answer:
undefined
Step-by-step explanation:
the equation for the slope of the line is (y2-y1)/(x2-x1)
here are the given points: (-6,-8) and (-6,12)
label the points:
x1=-6
y1=-8
x2=-6
y2=12
now substitute into the equation (m is slope)
m=(12--8)/(-6--6)
m=(12+8)/(-6+6)
m=20/0
m=undefined
the slope is undefined because you cannot divide by 0
Hope this helps!
Find the size of the angle using Sohcahtoa or Pythagoras.
Answer:
x ≈ 38.7°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{5}{8}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{5}{8}[/tex] ) ≈ 38.7° ( to 1 dec. place )
100 points please answer I need to bring my grade up
reasons why meals in space is more complicated than preparing meals on earth.
Answer:
preparing food in space is complicated for many reasons some are microgravity, some foods are not perfected and some foods do not meet the requirements of space food. astronauts can't sprinkle salt and pepper on their food in space. They just float away because of microgravity.
The bubbles of carbon dioxide in carbonated beverages aren't floatable in a weightless environment, so they remain randomly distributed throughout the fluid, even after drinking
Step-by-step explanation:
write 0.87878787.... as a fraction
Step-by-step explanation:
To write 0.87878787 as a fraction you have to write 0.87878787 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.87878787 = 0.87878787/1 = 8.7878787/10 = 87.878787/100 = 878.78787/1000 = 8787.8787/10000 = 87878.787/100000 = 878787.87/1000000 = 8787878.7/10000000 = 87878787/100000000
And finally we have:
0.87878787 as a fraction equals 87878787/100000000
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Two sides of a triangle measure 3 feet and 6 feet. Which of the following could not represent the length of the third side?
A) 7ft
B) 4ft
C) 9ft
D) 8ft
E) 3ft
What is 1.78 to a percent?
Answer:
178%
Step-by-step explanation:
move the decimal two places foward
I need help please help me lol don’t mind my musty computer screen
Answer:
Is this on IReady? It seems like it to be honest, also solve whats ink the parenthesis first, its PEMDAS basically i hope this helps
Step-by-step explanation:
-7(x+5) =21
apply the distributive property and simplify
Answer:
x=−8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7(x+5)=21
(−7)(x)+(−7)(5)=21(Distribute)
−7x+−35=21
−7x−35=21
Step 2: Add 35 to both sides.
−7x−35+35=21+35
−7x=56
Step 3: Divide both sides by -7.
−7x/−7 = 56/−7
x=−8
Answer:-
Distributed: -7x+(-35)=21 Simplified: x=-8
Step-by-step explanation:-
Distributed:
-7(x+5)=21
(x*(-7))+(5*(-7))=21
-7x+(-35)=21
Simplified:
-7x-35=21
-7x=21+35
-7x=56
x=-8
Factorise x squared-x
Answer:
x^2 - x
=
x(x-1)
Step-by-step explanation:
solve for k
4k=10+2k
I really need help again :( !
Find the slope and the y -intercept of the line shown .
You can find the slope of a line by comparing any two of each points the vertical change is the difference between the two y-values , and the horizontal change is the difference between the two x - values .
Please help :( ..
How many solutions does this system of equations have? Explain how you know
Answer:
Step-by-step explanation:
y+2/3 x=4
multiply by 3
3y+2x=12
or 2x=12-3y
so both represent the same equation of a line .
there are infinite points on the line.
infinite solutions.
The number of solution the system of equations have infinitely many solutions.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The system of equations are y+2/3 x=4--------(I) and 2x=12-3y --------(II).
Here, a₁=2/3, b₁=1 and c₁=-4
a₂=2, b₂=3 and c₂=-12
Now,
a₁/a₂=b₁/b₂=c₁/c₂
2/6 =1/3=-4/-12
1/3=1/3=1/3
Infinitely many solutions
Therefore, the number of solution the system of equations have infinitely many solutions.
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The volume of a conical flask is V cubic centimeters. The height of the flask is the same as its radius. Which function can be used to find the radius of the flask given its volume, the table for f(x) or the graph of g(x)? Explain your answer. If needed, use the graphing tool to arrive at your conclusion.
Answer:
Table for [tex]f(x)[/tex].
Step-by-step explanation:
The table offers a greater accuracy in comparison with graph, since any measure in the latter is subject to a margin of error associated with limitations of human sight, whereas any value can be either used directly from table, or estimated by linear interpolation on the assumption that curve is smooth, guaranteeing lower margins of error.
Answer:
Use an equation to determine whether f(x) or g(x) is the correct model. Create an equation for the radius of the flask in terms of its volume.
Because the height is the same as the radius, write this formula for the volume of the flask:
V= [tex]\frac{1}{3}[/tex][tex]\pi r^{3}[/tex]
Rewrite the formula, solving for r:
[tex]\frac{3V}{\pi } =r^{3}[/tex]
[tex]\sqrt[3]{\frac{3V}{\pi } } =r[/tex]
Now, graph the function and try to identify the values that are in the table.
The graph of the function does match the table of values. So, the table for f(x) can be used to find the radius of the flask. Notice that the graph for g(x) doesn’t match the graph of the formula, so exclude it as the answer.
Step-by-step explanation:
This is the sample answer for edmentum/plato so you should change it a bit.
Use the equation r =2.1x^2 -14.3x +35, where x is the number of years after 2000, to determine the revenue from the sales of U.S. Recorded albums in the years 2000, 2001, 2002, 2003, 2005, 2010 and 2018. How would you describe the trend in the revenue from albums? To what do you attribute this?
Answer:
Step-by-step explanation:
Given that:
[tex]r = 2.1x^2 - 14.3x + 35[/tex]
For year 2000; x = 0
So; [tex]r (0) = 2.1(0)^2 - 14.3(0) + 35[/tex]
[tex]r (0) = 35[/tex]
For year 2001; x = 1
[tex]r (1) = 2.1(1)^2 - 14.3(1) + 35[/tex]
[tex]r (1) =22.8[/tex]
For year 2002; x = 2
[tex]r (2) = 2.1(2)^2 - 14.3(2) + 35[/tex]
[tex]r (2) = 14.8[/tex]
For year 2003; x = 3
[tex]r (3) = 2.1(3)^2 - 14.3(3) + 35[/tex]
[tex]r (3) = 11[/tex]
For year 2005; x = 5
[tex]r (5) = 2.1(5)^2 - 14.3(5) + 35[/tex]
r(5) = 16
For year 2010; x = 10
[tex]r (10) = 2.1(10)^2 - 14.3(10) + 35[/tex]
[tex]r(10) = 102[/tex]
For year 2018; x =18
[tex]r(18) = 2.1(18)^2 - 14.3 (18) + 35[/tex]
[tex]r(18) = 458[/tex]
Thus, the table can be presented as seen below.
Year 2000 2001 2002 2003 2005 2010 2018
x 0 1 2 3 5 10 18
r(x) 35 22.8 14.8 11 16 102 458
SO, we will notice that the revenue for the albums starts decreasing and when it reaches the minimum, it started increasing with increasing x.
The attribute behind this trend is because the revenue function r(x) typically implies that it is a quadratic function.
4a -3 = 2a +7
what's a?
Answer:
a =5
Step-by-step explanation:
4a -3 = 2a +7
Subtract 2a from each side
4a-2a -3 = 2a-2a +7
2a-3 =7
Add 3 to each side
2a-3+3 = 7+3
2a=10
Divide each side by 2
2a/2 = 10/2
a =5
Answer:
a=5
Step-by-step explanation:
4a-3+3=2a+7+3
4a=2a+10
4a-2a=2a+10-2a
2a=10
a=5
Since the cost of cheese went up, the cost of small pizza went from $5.45 to $6.50. calculate the percent increase.
I will give Brainliest is, but I also will report you if you don't give a reasonable answer.
Answer:
19.3%
Step-by-step explanation:
6.50-5.45 = 1.05
1.05/5.45 = 0.192605505
* 100 = 19.27% = 19.3% increase
Find the slope of the line that passes
through the points in the table. (First person to answer will get brainiest)
Answer:
-1/3 or -2/6
Step-by-step explanation:
First, you pick two points, I did (-5,10) and (1,8). Then, because slope is y(2)-y(1)/ x(2)-x(1), the equation would be 8-10/1-(-5) which equals -2/6 which simplifies into -1/3.
(hope this helps!)
Use the slide splitter theorem to solve for x in the triangle below.
Answer:
I THINK THE ANSWER IN X=3
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
by side splitter theorem: x : 66 = 2 : 12
x / 66 = 2 / 12
x = 2/12 * 66 = 11
Solve the system of equations by substitution.y=3x-10,3x+2y=16
Answer: Point Form: (4,2)
Equation Form: x=4,y=2
Step-by-step explanation:
On Monday Mason ran k kilometers on Tuesday he ran one third of the distance he ran on Monday what is a expression to represent the distance mason ran on both days
Answer:
4/3 k Km
Step-by-step explanation:
We are given that
On Monday
Mason ran distance =k Km
On Tuesday
Mason ran distance=[tex]\frac{1}{3} k Km[/tex]
We have to find the expression which represents the distance ran by Mason on both days.
Total distance ran by Mason on both days
=[tex]k+\frac{1}{3}k[/tex]
[tex]=\frac{3k+k}{3}[/tex]
[tex]=\frac{4}{3}k[/tex]
Hence, total distance ran by Mason on both days=4/3 k Km
Look at this triangle
B
11 cm
4 cm
A4
C
Work out length AC.pythagoras
Answer:
11.7 cm
Step-by-step explanation:
Using Pythagoras Theorem
AC² = AB² + BC²
AB = 4 cm
BC = 11 cm
AC² = 4² + 11²
AC = √4² + 11²
AC =✓137
AC = 11.704699911 cm
Approximately = 11.7 cm
Length AC = 11.7cm
solve the equation
4c = 3
c=
Answer:
c = 3/4, hope this helps
Step-by-step explanation:
4c/4 = 3/4
c = 3/4
If there are 12 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
6:30
1:5
4:20
3:15
2:10
Step-by-step explanation:
im pretty sure these are correct
The points (3, 9) and (–3, –9) are plotted on the coordinate plane using the equation y = a • x. What is the value of a?
Answer:
multiply
Step-by-step explanation:
hi.
i like you
yuejrh
Answer:
Huh
Step-by-step explanation:
Which equation can be used to find the value of x?