Answer:
x = -3 2/3
Step-by-step explanation:
Given the simultaneous equations;
3 x + 7 y = 31 ..... 1
-3x - 2y = -1 ..... 2
Add both expressions
7y - 2y = 31-1
5y = 30
y = 30/5
y = 6
Substitute y = 6 into equation 2
From 2;
-3x - 2y = -1
-3x - 2(6) = -1
-3x - 12 = -1
-3x = -1 + 12
-3x = 11
x = -11/3
x = -3 2/3
Hence the value of x is -3 2/3
Answer:
x = -3 2/3
Step-by-step explanation:
I need help please. Thank you
Answer:
try 4 inches
Step-by-step explanation:
since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.
Draw an area model to solve 774 divided by 3
Can someone please answer quick there’s a math test and I only have one minute to answer this question please it’s my last question.
Answer:
The equation of the line in slope-intercept form is:
y = 3/5x + 5
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptTaking two points
(-5, 2)(5, 8)Taking two points (-5, 2) and (5, 8) to determine the slope
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:2\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)[/tex]
[tex]m=\frac{8-2}{5-\left(-5\right)}[/tex]
Refine
[tex]m=\frac{3}{5}[/tex]
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
now, substituting b = 5 and m = 3/5 in the slope-intercept form of the line equation
y = mx+b
y = 3/5x + 5
Therefore, the equation of the line in slope-intercept form is:
y = 3/5x + 5
hurry please what is 1+1
Answer:
2
Step-by-step explanation:
Hope this helps!! Have a blessed day!
Answer:
1 + 1 = 2
Step-by-step explanation:
This is because if you count on your fingers one and one, you get two. I hope this helps!!
Melissa has six sets of card matches. She drops the cards and must find their match again. Record your results below.
Answer:
there is no work?
Step-by-step explanation:
Answer:
Step-by-step explanation:
The number of fish in a lake decreased by 25% between last year and this year. This year there are 45 fish in the lake. What was the population of last year
Answer:
The population of last year was 60.
Step-by-step explanation:
From the information given, as you know that the number of fish in a lake decreased by 25% between last year and this year, the amount of fish this year represents 75% of last year's population as: 100%-25%=75%. With that, you can use a rule of three to find last year's population tha would represent 100% given that 75% is equal to 45 fish.
75% → 45
100% → x
x=(100*45)/75= 60
According to this, the answer is that the population of last year was 60.
Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.97 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?
Answer:
eish
Step-by-step explanation:
shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry
Can someone do the math for me (im too lazy). SO I took a test and got a 57 and my grade in that class is a 87.20. How bad is my grade gonna drop? (Im lowkey crying inside lol)
Answer:
probably somewhere between a 75 or higher depending on if it is a important test and how many questions was on it
Step-by-step explanation:
HELP THIS IS TIMED !!!!
Answer:
55,300
Step-by-step explanation:
Every year it goes up 2,400
2,400x4=9,600
9,600+45,700=
55,300
2 + yx; use x = 6, and y = 5
Answer:
answer: 32
Step-by-step explanation:
2+5*6
=32
Please help me this is due today
Answer:
1. 15 (A)
2. 12 (G)
Step-by-step explanation:
1. We can make an equation out of this...
3x+3=48
x is the age of Geoff which is what we are trying to find out
We have to add 3 to both sides of the equation
3x+3=48
-3 -3
________
we end up with 3x=45
we then have to divide 3 by both sides because its the opposite of
multipling
3x=45
_____
3
we get x=15
2. We can write a problem statement
(2 x 9)-6=?
multiply 2 and 9 FIRST
18-6=?
your answer is 12
Your Welcome! Have a great rest of your day! :)
Pls show workings it due in a hour
Answer:
The inequality describes all possible value of x is 14 < x < 32 ⇒ D
Step-by-step explanation:
In any triangle:
The sum of the lengths of any two sides must be greater than the length of the 3rd sideThe length of any side must greater than the difference of the lengths of the other two sidesThe difference of the other sides < The side < The sum of the other sidesIn the given figure
∵ ABC is a triangle
∵ AC = 9 and BC = 21
∵ AB is the third side of the triangle
→ By using the rules above
∴ BC - AC < AB < BC + AC
∵ AB = x - 2
→ Substitute their values in the inequality above
∵ 21 - 9 < x - 2 < 21 + 9
∴ 12 < x - 2 < 30
→ Add 2 to the 3 terms
∴ 12 + 2 < x - 2 + 2 < 30 + 2
∴ 14 < x < 32
∴ The inequality describes all possible value of x is 14 < x < 32
Ap ex: What is the solution to this system of equation?
y = x - 4 y = -0.5x + 8
a. (4,2)
b. (8,4)
c. (4,8)
d. (2,4)
Answer:
x = 8, y = 4
Step-by-step explanation:
y = x - 4
y = -0.5x + 8
y = y
x - 4 = -0.5x + 8
x + 0.5x = 8 + 4
1.5x = 12
x = 12/1.5
x = 8
To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)
y = (8) - 4
y = 4
OR
y = -0.5(8) + 8
y = -4 + 8
y = 4
what's 5x+y=3 written in y=mx+b form
Answer:
y=-5x+3
Step-by-step explanation:
5x+y=3
sub 5x from each side
y=-5x+3
finding side length of the 90-degree angle triangle
Answer:
x = 4
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
[tex]\sqrt{2}[/tex] x = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
x = 4
PLZ HELP ASAP!!!!
expand the polynomials and simplify:
(1/4m-2n)^2
Answer:
1/16m^2 -2*1/4m*2n+4n^2
If you want to write it in more simple picture :
1/16m^2 -mn +4n^2
Answer:
[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]
Step-by-step explanation:
Given the polynomial
[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]
Expanding and simplifying
[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]
as 1/4 = 4/m, so
[tex]=\left(\frac{m}{4}-2n\right)^2[/tex]
Apply perfect square formula: [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]
[tex]=\left(\frac{m}{4}\right)^2-2\cdot \frac{m}{4}\cdot \:2n+\left(2n\right)^2[/tex]
simplifying
[tex]=\frac{m^2}{4^2}-mn+2^2n^2[/tex]
[tex]=\frac{m^2}{16}-mn+4n^2[/tex]
Therefore,
[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]
help a brother out ya boy is lazy and don't wanna work.
Answer:
10
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
I need help with this question
Answer:
The scale factor is 1 to 3
Step-by-step explanation:
Here, we want to determine the dilation scale
As we can see we have a dilation of 9 to 27
The ratio here will be;
9 to 27
which is 1 to 3
1. The point (4, - 2) is the vertex of the graph of a quadratic function. The points (8,6)
and (2,0) also fall on the graph of the function. Complete the graph of this
quadratic function by first finding two additional points on the graph.
2
0
10
10
9
-8
-4
-6
-2
4
6
8
10
-2
-4
-6
-107
Part A:
What is the y-intercept of the graph?
Part B:
What are the x-intercepts?
Part C:
Find the interval on which the rate of change is always positive.
Part D:
What is the sign of the leading coefficient for this quadratic function? How
do you know?
El
Answer:
It doesn't make sense and their no picture that provides us with clear evidence on how to answer this better then how your explaing
Step-by-step explanation:
I don't know how to know how to answer this lol, because I need a better explination
multiply choice question! which one?
Step-by-step explanation:
the option that you've chose.
it's the correct answer!
have a good day :)
Answer:
The answer is D. number 4.
The original price of a CD is 9.95 tax is 4% what the answer
Answer:
$9.55
Step-by-step explanation:
4/100=0.04
0.04x9.95=0.40
9.95-0.40=9.55
4% of 9.95 is 0.398, so you would add about $0.40 to the original amout.
What is the slope of the line in the graph?
-4/3
-3/4
3/4
4/3
the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height
Answer22:22
Step-by-step explanation:
A light-year is the distance light travels in one year, about 5.9×1012 mi. Earth is located about 25,000 light-years from the Milky Way's rim. What is the approximate distance, in miles, from Earth to the rim of the Milky Way?
Answer:
1.475 × 10¹⁴ mi
Step-by-step explanation:
Since 1 light year = 5.9 × 10⁹ mi and the Earth is located about 25,000 light-years from the Milky Way's rim, the approximate distance, in miles, from Earth to the rim of the Milky Way is 25,000 light year = 25,000 × 1 light year
= 25,000 × 5.9 × 10⁹ mi
= 147.5 × 10¹² mi
= 1.475 × 10¹⁴ mi
Which statement is true ?
Answer:
the second one
Step-by-step explanation:
Which relation is a function?
o {(-4,5), (0, 2), (2,5)}
o {(2,5), (2, 6), (2, 7)}
O {(3, 2), (5, 7), (3,-2)}
O {(4,3), (4,4),(4,5)}
Answer:
Hi! The correct answer is o {(-4,5), (0, 2), (2,5)}!
Step-by-step explanation:
~To find a function look at the x values, if the x values don't repeat then it is a function~
An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal
Answer:
The angle the aero plane makes with the horizontal is approximately 20.925°
Step-by-step explanation:
The given parameters are;
The distance the aero plane flies = 5.6 km
The elevation to which the aero plane flies = 2 km
The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)
By the trigonometric ratio for the sin of the angle, θ, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]
Therefore, the angle θ the aero plane makes with the horizontal is given as follows;
[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]
The angle the aero plane makes with the horizontal ≈ 20.925°.
Can somebody answer this?
Answer:
c. m
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.
Answer:
the slope of the line is m
Step-by-step explanation:
why m?
because as you see in the equation
y=mx+b this means y-b/x = m
as you know slope is ∆y/∆x =m
it is the same as the first one .
What are the next three terms of the geometric sequence 32, -16, 8, …?
Answer:
-4, 2, -1
Step-by-step explanation:
everything is being multiplied by -1/2
32 × -1/2 = -16
-16 × -1/2 = 8
So 8 × -1/2 = -4
What is the value of 2/7 divided by 4/9
Answer:9
Step-by-step explanation:
dk
Answer:
its 0.642857 pls tell me if im wrong lol srry if it is