Answer:
x=−6 and y=7
Step-by-step explanation:
Step: Solve8x+5y=−13for x:
8x+5y=−13
8x+5y+−5y=−13+−5y(Add -5y to both sides)
8x=−5y−13
8x
8
=
−5y−13
8
(Divide both sides by 8)
x=
−5
8
y+
−13
8
Step: Substitute
−5
8
y+
−13
8
forxin3x+4y=10:
3x+4y=10
3(
−5
8
y+
−13
8
)+4y=10
17
8
y+
−39
8
=10(Simplify both sides of the equation)
17
8
y+
−39
8
+
39
8
=10+
39
8
(Add 39/8 to both sides)
17
8
y=
119
8
17
8
y
17
8
=
119
8
17
8
(Divide both sides by 17/8)
y=7
Step: Substitute7foryinx=
−5
8
y+
−13
8
:
x=
−5
8
y+
−13
8
x=
−5
8
(7)+
−13
8
x=−6(Simplify both sides of the equation)Step: Solve8x+5y=−13for x:
8x+5y=−13
8x+5y+−5y=−13+−5y(Add -5y to both sides)
8x=−5y−13
8x
8
=
−5y−13
8
(Divide both sides by 8)
x=
−5
8
y+
−13
8
Step: Substitute
−5
8
y+
−13
8
forxin3x+4y=10:
3x+4y=10
3(
−5
8
y+
−13
8
)+4y=10
17
8
y+
−39
8
=10(Simplify both sides of the equation)
17
8
y+
−39
8
+
39
8
=10+
39
8
(Add 39/8 to both sides)
17
8
y=
119
8
17
8
y
17
8
=
119
8
17
8
(Divide both sides by 17/8)
y=7
Step: Substitute7foryinx=
−5
8
y+
−13
8
:
x=
−5
8
y+
−13
8
x=
−5
8
(7)+
−13
8
x=−6(Simplify both sides of the equation)
Answer: The intersection between these 2 lines are (-6,7)
Source: Desmos Graphing Calculator (look it up its very helpful and gives answers)
Solve the following simultaneous equations 2x+5y=0 and 3x-4y=23
Answer:
x = 5, y = -2
Step-by-step explanation:
2x + 5y = 0 --- Equation 1
Equation 1×3: 6x + 15y = 0 --- Equation 2
3x - 4y = 23 --- Equation 3
Equation 3×2: 6x - 8y = 46 --- Equation 3
We will be eliminating 6x from Equation 2.
Equation 3-2: 6x - 8y - 6x - 15y = 46-0
-23y = 46
y = 46 ÷ -23
y = -2
Substitute y = -2 into Equation 1:
2x + 5y = 0
2x + 5(-2) = 0
2x + (-10) = 0
2x - 10 = 0
2x = 10
x = 10 ÷ 2
x = 5
Can someone help me plz I will mark brainliest
Answer:
1 solution
Step-by-step explanation:
There is exactly one solution because when both lines are graphed, they intersect at only one point, (1.5,-1).
Answer:
Either no solutions or infinite..
Step-by-step explanation:
I am not exactly sure, but I am taking a guess. IF this equation requires a definite answer, then no solutions. Otherwise, if x or y can equal to any number, then, infinite numbers. I would recommend to look at what other people say before reading this and taking a guess.
[21+3(9)]/6+9
I need help
Answer:
the answer =7/6
=1.1666666667
Help!! How do I do 1 and 2
Answer:
1. The mode. 2. See below
Step-by-step explanation:
1. To find the mean, you need to add all the numbers up. So, add 24, 27, 31, 32, 36, 36, 36, 39, 40, 58, 58, and 59 to get 503. Then, you need to divide 503 by how many numbers there are, which in this case is 12. So, 503/12 ≈ 42. This number is rounded because it is a repeating decimal. The median is the middle number of the set when it is lined up in order of lowest to highest. In this case, we would need to add up the two middle numbers, 36 + 36, and divide by 2 to find the median. This is 54. The mode is the number that shows up most often. Here, this is 36. In this case, the mode best represents the data because the other two numbers are a bit too high.
2. Add 90 + 90 + 91 + 93 + 99 + 102 + 102 + 105 + 120 + 123 + 128 + 128 + 129 = 1523. Divide by 13 to get approximately 117, which is rounded because it is an ongoing decimal. The median is 102. In this case, we have 3 modes because more than one number occurs two times, so the modes are 90, 102, and 128. This one I'm unsure on since I haven't done this stuff in a while, and that's up to you. The modes give a pretty accurate representation of the range of the data, but then again so does the median and mean. It's up to you and what you've been taught.
a line passes through the point (-4, 7) and has a slope of 5/4
Answer:
y = 5/4x+ 7
Step-by-step explanation:
slope - intercept form : y =mx+b
m = slope
b = y intercept
slope (m): 5/4
y intercept (b) = 7
y = 5/4x+7
SOLVE FOR X WILL GIVE BRAINLEST
Answer:
The first one is -3
The second one is 2
Step-by-step explanation:
Find the measure of the missing angle
Answer:
a = 151 degrees
Step-by-step explanation:
180 - 29 = 151
Answer:
151
Step-by-step explanation:
180 -29 = 151
What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]
Answer:
Average rate of change = 3
Step-by-step explanation:
We know that the average rate of change is basically a measure of the slope of the secant line in the closed interval [a, b].here a = -3 and b = 4
f(b) = f(4) = 27f(a) = f(-3) = 6⇒ Average rate of change = f(b) - f(a) / b - a
= (27 - 6) / (4 - (-3))
= 21 / 7
= 3
Therefore, Average rate of change = 3
What is the equation of the line that passes through the points (5, 3) and (-3,-1)?
Answer:
y=1/2x+1/2
m=1/2
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(5,3) and (-3,-1).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (5,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=5 and y1=3.
Also, let's call the second point you gave, (-3,-1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-3 and y2=-1.
Now, just plug the numbers into the formula for m above, like this:
m=
-1 - 3 over
-3 - 5
or...
m=
-4 over
-8
or...
m=1/2
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=1/2x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(5,3). When x of the line is 5, y of the line must be 3.
(-3,-1). When x of the line is -3, y of the line must be -1.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (5,3) and (-3,-1).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(5,3). y=mx+b or 3=1/2 × 5+b, or solving for b: b=3-(1/2)(5). b=1/2.
(-3,-1). y=mx+b or -1=1/2 × -3+b, or solving for b: b=-1-(1/2)(-3). b=1/2.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(5,3) and (-3,-1)
is
y=1/2x+1/2
Write 2 3/4 as an improper fraction
Answer:
11/4
Step-by-step explanation:
4/4 is 1 whole.
We have 2 whole.
So, right now we have: 8/4
We can't forget about the 3/4!
8/4+3/4=11/4
This means your total is 11/4
Hope this helps you out!
-AxekickNebulite
The value of an improper fraction of a mixed number [tex]2 \dfrac{3}{4}[/tex] would be [tex]\dfrac{11}{4}[/tex].
Used the concept of the fraction that states that,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that the mixed number [tex]2 \dfrac{3}{4}[/tex].
Now, change the mixed number [tex]2 \dfrac{3}{4}[/tex] into an improper fraction as,
[tex]2 \dfrac{3}{4} = \dfrac{(2\times 4 )+ 3}{4}[/tex]
[tex]= \dfrac{11}{4}[/tex]
Therefore, The value of an improper fraction would be [tex]\dfrac{11}{4}[/tex].
To learn more about the fraction visit:
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A video store charges a monthly membership fee of $9, but the charge to rent each movie is only $2 per movie. Another store has no membership fee, but it costs $3.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company?
Answer:
6
Step-by-step explanation:
3.50×6=21
2×6=12+9=21
Write an equation in point-slope form of the line that passes through the point (1, 6) and has a slope of −1/2
Answer:
y-6 = -1/2 * (x-1)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope. Plug in (1,6) for (x1, y1) and -1/2 for m.
The sum of two numbers is 53 and the difference is 19. What are the numbers?
Which point below has a positive x-value and a negative y-value? Q RS on
2. What is the slope? Explain your answer.
2 points
4
(2, 3)
2 +
4
-2.
2.
4 x
(2,-2)
Answer: Distance
5
Midpoint
(
2
,
0.5
)
Slope
−
I
n
f
∈
i
t
y
Tiger found no solution.
See steps
y intercept
I
n
f
∈
i
t
y
See steps
Midpoint= ((X1+X2)/2,(Y1+Y2)/2)
Find the x value of the midpoint
Xm=(X1+X2)/2
Xm=(2+2)/2=2
Find the Y value of the midpoint
Ym=(Y1+Y2)/2
Ym=(3+-2)/2=0.5
The midpoint is: (2,0.5)
Graphing the two points, midpoint and distance
P1 (2,3)
P2 (2,-2)
Midpoint (2,0.5)
The length of the black line is the distance between the points (5)
Step-by-step explanation:
How would you describe probability?
Answer:Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Step-by-step explanation
Zane's parents keep a chart on the wall where they mark how much Zane grows each year. When Zane was 15, he grew 3/5 of an inch and when he was 16, he grew 1/2 of an inch. In total, how much did Zane grow in during those two years?
Answer:
1 1/10 or 11/10
Step-by-step explanation:
Zane grew 3/5 of an inch during the first year and 1/2 an inch during the second. First, you have to make sure the denominators are the same number. Then, add the numerators. Simplify if needed.
Answer:
1.1 Inches
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. To get the common denominator I multiplied 3/5 by 2/2 to get 6/10 and I multiplied 1/2 by 5/5 to get 5/10 now that they have a common denominator you can add and you get 11/10 = 1.1
8th grade math plz help
Answer: D I think?
Step-by-step explanation:
Jackie has a sandbox that has two parts. A diagram of the sandbox is shown.
What is the total volume of the sandbox?
19 cubic feet
d)) 48 cubic feet
4 ft
1 ft.
3 ft
4 ft
22 cubic feet
28 cubic feet
Answer:
48 cubic feet
Step-by-step explanation:
Answer:
The answer is 48ft
Step-by-step explanation:
Hope this helps
If ABCD is a rectangle, BD = 2x + 5 and AC = 7x - 40. Find the value of BE.
Answer:
AC = 23
BD = 23
Step-by-step explanation:
ABCD is a rectangle,
AC and BD are its diagonals.
Diagonals of a rectangle are congruent.
Therefore,
AC = BD
7x - 40 = 2x + 5
7x - 2x = 5 + 40
5x = 45
x = 45/5
x = 9
BD = 2x + 5 = 2*9 + 5 = 18 + 5 = 23
AC = 7x - 40 = 7*9 - 40 = 63 - 40 = 23
Help Pls And Thank you
Answer:
A
Step-by-step explanation:
Total amount of extra money needed to be raised
= $483.62 -$218.25
= $265.37
Since each student raises the same amount and there are 17 students, $265.37 would be shared equally amongst the 17 students.
Amount of money each student must raise
= $265.37 ÷17
= $15.61
Write 142% as a mixed number in simplest form.
Answer:
71/50
Step-by-step explanation:
142 100
Both numbers are even. Divide by two.
71 50
Can't be simplified any further
Make it a mixed number.
1 21/50
The number 142 % in mixed number form is 1 21/50
What are Mixed Numbers?
A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
Given data ,
The number given is = 142 %
On simplifying , we get
142 % = 100 % + 42%
We know that 100 % = 1
So ,
42 % = 42 / 100
Divide by 2 on both numerator and denominator , we get
21 / 50
So , the number 142 % is written as 1 21/50
Or ,
Simplifying 142 / 100 , we get
142 / 100 = 71 / 50
Converting 71 / 50 into mixed number , we get 21 as the remainder ,
Therefore , the mixed number form of 71 / 50 is 1 21/50
Hence , the mixed number form is 1 21/50
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Please help me in this Im failing.
Answer:
B and C
Step-by-step explanation:
a farm lets you pick 4 cups of peanut butter for 10$ . How many cups do you get per dollar?
Answer : 2.5 cups per dollar
Step-by-step explanation:
You need to find to unit rate 4 cups divided by 10$ is 0.40$. Then you need to divided 0.40 into a dollar (which would be 1.00) so 1.00 divided by 0.40 is 2.5 cups
Help with math question
Answer:
I believe because everything adds to 180
Can some one help me graph y=4x + 5 I keep doing something wrong.
Answer:
y = - 3x + 4
Step-by-step explanation:
Line is passing through the points (1, 1) & (0, 4)
Slope of line = (4-1)/(0-1) = 3/(-1) = - 3
Equation of line
y = mx + b
Here m = - 3, b = 4
y = - 3x + 4
Using point (1, 1)
y - 1= - 3(x - 1)
y = - 3x +3 +1
y = - 3x + 4
HURRY TIME LIMIT
A farmer sows 100 seeds of a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the crop when it has matured. He decides to take a simple random sample of the crop. Which of the following correctly labels the population?
00–99
01–99
0–99
1–100
Answer:
00-99
Step-by-step explanation:
I got a 90% hope this wasn’t the one I got wrong :)
Answer:
A.
Step-by-step explanation:
00-99
PLEASEEEE HELPPPP!!!!:(((((:(:(
Answer: x=3, p/2,-p/2
Step-by-step explanation:
it's hard to explain, so let me know if you really want me to explain.
Answer please!!!!!!!!!!!!!!!!
Answers:
The figure has 0 lines of symmetry. The figure has a 0 degree angle of rotation.
Hope this helped! :)
A bank offers an annual simple interest rate of 9% on home improvement
loans. Tobias borrowed $20,000 over a period of 4 years. How much did
he repay altogether?
Answer:
Tobias repayed a total of $7,200.
Step-by-step explanation:
If Tobias borrowed $20,000, and the annual interest rate is 9% of this per year, then we need to find 9% of 20,000.
20,000 x 0.09 = 1,800
Therefore, the yearly interest rate is $1,800. Now, we need to multiply this by 4.
1,800 x 4 = 7,200
Therefore, Tobias repayed a total of $7,200.
Hope this helps! :D