Answer:
x = 3.5, y = 2
Step-by-step explanation:
This is a system of equations.
Original equations:
[tex]4x+5y=24\\3x+7y=21[/tex]
Substitute y and solve for x:
→ [tex]y=\frac{24-4x}{5} \\2x+7y=21[/tex]
Substitute the value for y and simplify:
→ [tex]2x+\frac{7(24-4x)}{5} =21[/tex]
→ [tex]2x + \frac{(168 - 28x)}{5}=21[/tex]
Multiply by 5 on both sides
→ [tex]10x + 168-28x = 105[/tex]
Simplify → [tex]-18x = -63[/tex]
→ [tex]x = 3.5[/tex]
Plug in the value for x into either equation:
→ [tex]4*3.5 + 5y=24[/tex]
→ [tex]14+5y=24[/tex]
→ [tex]5y=10[/tex]
→ [tex]y=2[/tex]
Using the table below, what is a (6(4))?
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
6*4=24
True or false Every relation that is linear, must be a function?
Answer: False
Step-by-step explanation: Let's review the idea of graphs.
For a graph to be linear, it must be a straight line.
To determine whether a given graph is a function,
we use the vertical line test.
The vertical line test tells us that if a vertical line is drawn on a graph,
and hits the graph in more than one place, the graph is not a function.
In fact, this definition tells us the only type of linear graph
that will fail the vertical line test, and that's a vertical line.
Any vertical line that we draw will be both linear and not a function.
One possible graph could be x = 2.
Any vertical line will fit this description.
what is 5 1/6 - 7 1/3
Answer:
-13/6 or -2 and 1/6 or -2.16
Step-by-step explanation:
The solution of expression in mixed fraction form is,
⇒ 2 1/6
We have to simplify the expression,
⇒ 5 1/6 - 7 1/3
Firstly we can change it into improper fraction,
⇒ 5 1/6 - 7 1/3
⇒ 31/6 - 22/3
Make denominator same by taking LCM of 6 and 3 which is 6,
⇒ 31/6 - 44/6
⇒ (31 - 44) / 6
⇒ 13/6
⇒ 2 1/6
Therefore, The solution of expression in mixed fraction form is,
⇒ 2 1/6
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Factor completely 3x − 12.
Answer:
-12
Step-by-step explanation:
...do you want expl?
The measures of the angles of a triangle are shown in the figure below. Solve for X
Answer:
34Step-by-step explanation:
Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle
Answer:
34
Step-by-step explanation:
103+43=146
a triangle always adds up to 180 degrees
180-146=34
so that's the workings hope the answers right
Answer this question and get it right I will mark right one Brainliest
I am thinking of a number from 1-10 what is it ?
Answer:
6
Step-by-step explanation:
6 is the most common lol
Answer:
I'll say 5
Step-by-step explanation:
Hoped this helped!
What is the slope of this line?
Answer:
[tex]m=\frac{2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, -1)
Point (4, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+1}{4+2}[/tex]Add: [tex]m=\frac{4}{6}[/tex]Simplify: [tex]m=\frac{2}{3}[/tex](-8,1); m=6 equation of line in point slope form
Answer:
Point-slope form
y-3=6(x-8)
a university department administers a survey regardring student satisfaction based on the survey results the department provides a confidence interval estimate of 60% to 80% for student satisfaction if the department wishes to construct a confidence interval the more accurate represents the proportion of a student satisfaction how should the design be altered
Answer:
Change the confidence interval.
Step-by-step explanation:
The confidence interval should be altered . If a 95 % or 90% confidence interval is set then better results can be obtained for student satisfaction.
A 90 or 95 or 99 percent confidence interval will show a greater range of the data that lies within or without the given criteria.
95 % confidence interval does not mean that the probability is 95% . It means that we are 95% of the data lies or does not lie within the specific range.
This gives better results as compared to 60- 80 % confidence intervals.
If 95% of the students are satisfied as compared to 60% or 80% , this shows more accuracy.
You can buy 1 bunch of grapes for $2. How many can you buy with $18?
Answer:
9
Step-by-step explanation:
* What is the sum? Complete the equation
-3 3/4 + 1/2
Answer:
-3 1/4
Step-by-step explanation:
If (x^2 – 4) ÷ (x + 2) = x -2, which polynomial should fill in the blank below?
(x + 2) × ____= x^2 - 4
O x² – 4
O x-2
O x +2
O x² – 2
Answer:
x - 2
Step-by-step explanation:
(x + 2)(x - 2) = x^2 - 4
What is the equation in point slope form for the line parallel to y=8x+8 that contains P(-4,5)?
Answer:
Equation: y-5=8(x+4)
Step-by-step explanation:
Point-slope form is y-y1=m(x-x1)
Since m=8, y1=5, and x1=-4, then we have y-5=8(x+4) as our final equation
PLEASE HELP!!! WILL MARK BRAINLEST!!
The solution of an equation with two variables, x and y, is:
1) The set of all x values that make y = 0
2) The set of all y values that make x = 0
3) The set of all ordered pairs, (x,y), that make the equation true
4) The set of all ordered pairs, (x,y), where the graph of the equation crosses the y-axis
Answer:
3
Step-by-step explanation:
3) because thhe solution should be equal to the values that x and y could take to make the equation true
Plz help me will give crown and 20 points I really need help on this and can you answer all the questions
Answer:
The answer will be
1 c
2 e
3 b
4 a
5 d
One vertex of a triangle is located at (0,5) on a
coordinate grid. After a rotation, the vertex is
located at (5,0).
Which rotation could have taken place?
A rotation of 90° clockwise about the origin
B rotation of 180° clockwise about the origin
C rotation of 90° counterclockwise about the origin
D rotation of 180° counterclockwise about the origin
Ο Α
OB
Ос
OD
Answer:
A
Step-by-step explanation:
90 degrees clockwise
What is the least common multiple (LCM) of 3 and 5?
Answer:
the lcm of 3 and 5 is 15 I hope this helps
Step-by-step explanation:
what is the slope of the line through the points (3,7) and (5,15)?
a. 2/5
b. 1/4
c. 4
d. 5/2
Answer:
C. 4
Step-by-step explanation:
The formula of slopes is: y2 - y1/x2 - x1
m = y2 - y1/x2 - x1
m = 15 - 7/5 - 3
m = 8/2
m = 4/1
m = 4
The slope of the line through the points (3,7) and (5,15) is 4 .
What is slope of line passing through two points ?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.
Δy = change in y coordinate = y2 - y1
Δx = change in x coordinate = x2 - x1
m = Δy/Δx
where,
m is the slope
According to the question
Points (3,7) and (5,15)
therefore,
(x1,y1) = (3,7)
(x2,y2) = (5,15)
Now ,
The slope of the line
Using slope formula
m = Δy/Δx
Δy = y2 - y1
Δy = 15 - 7
Δy = 8
Δx = = x2 - x1
Δx = 5 - 3
Δx = 2
Therefore,
m = [tex]\frac{8}{2}[/tex]
m = 4
Hence, the slope of the line through the points (3,7) and (5,15) is 4 .
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Write an equation of the line that passes through the given points in any form.
Answer:
[tex]y=\frac{2}{3} x+1[/tex]
Step-by-step explanation:
The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is 2 (since it increased by 2) and the run (difference between the two x values) is 3 (since it increased by 3).
This gives us a slope of [tex]\frac{2}{3}[/tex].
The +1 is found by looking at the y intercept. The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 1.
The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!
Solve for x. x + 47 = -23
x+47=-23
move +47 to the other side to get x by itself
sign changes from +47 to -47
x+47-47=-23-47
x=-23-47
x=-70
answer: x=-70
Answer:
-70
Step-by-step explanation:
x = -23 - 47
x = -70
-70 + 47 = -23
In the Diagram in the show your work area, what is the value of x?
Show Your Work someone help
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[tex] - 1 + 14x = 12x + 17[/tex]
[tex]14x - 1 = 12x + 17[/tex]
Add sides 1
[tex]14x - 1 + 1 =12x + 17 + 1[/tex]
[tex]14x = 12x + 18[/tex]
Subtract sides 12x
[tex] - 12x + 14x = - 12x + 12x + 18 \\ [/tex]
[tex]2x = 18[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]
[tex]x = 9[/tex]
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CHECK :
[tex]14(9) - 1 = 12(9) + 17[/tex]
[tex]126 - 1 = 108 + 17[/tex]
[tex]125 = 125[/tex]
Thus the solution is correct .
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Luci cuts a board that is
5
7
yard long into pieces that are
5
14
yard long. How many pieces does she cut?
Answer:
I think the answer should be two and a half pieces
Help meee ASAP!!!! Pls
Answer:
2/5
Step-by-step explanation:
I found two point and counted the Y change and the X change. Rise over run.
Answer:
4/10 is the slope and the y intercept is 3
Step-by-step explanation:
please show how to check the answer . that's all I'm struggling with
Answer:
For Question 3, all you have to do is subtract 5 from both sides of the equation, then divide by -3, which will leave you with 5 as the answer.
-3x + 5 = -10
-3x = -15x
x = 5
P is a odd number
Explain why p^2+1 is always even
Answer/Step-by-step explanation:
Whenever a negative number is squared it is equal to the expression -a x -a = +a. In this expression any negative number multiplied an even amount of time with all numbers being negative will be a positive product.
Answer:
P^2+1 even because
Step-by-step explanation:
P is an odd number
Any odd number squared is odd
Therefore,P^2+1 is odd
Any odd number= because odd odd =even
Be=P^2+1 is odd odd =even
... P^2+1 = even
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
5 and 6 Your Answer is (5,8)
Hope It Helped :)
Alex ran 1600 m at a rate of 6.4 m/s.
For how many seconds did he run?
Answer:
250
Step-by-step explanation:
1600/6.4
please help!!!!!! I will be grateful!!
joke 1. 2 hunters were out in the woods right while they were following fresh tracks from a big elk one of the hunters drop to the ground and his eyes roll backwards so the other hunter whips out his phone and calls the hospital "I THINK MY FRIEND IS DEAD!" he told the doctor the doctor told him " Calm down let's make sure he's dead. so there is a moment of silence the you here a big pop the hunter says "NOW WHAT!" (he shot his friend)
joke 2. I wanted to be a democrat for halloween but i could not stick my head far enough up my a/s/s to be one.
brainliest for being funny?
Una embarcación tenía 120 tripulantes al naufragar parece el 30% los sobrevivientes el 25% son casados¿ Cuántos de los sobrevivientes son solteros?
Ayudenme rápido plis
Answer:
Solteros= 27
Step-by-step explanation:
Entiendo que de los 120 tripulantes, sobrevivió el 30%. Y de los sobrevivientes, 25% son casados.
Primero, debemos calcular la cantidad de sobrevivientes:
Sobrevivientes= 120*0.3= 36
Ahora la cantidad de casados, y por diferencia los solteros:
Casados= 36*0.25= 9
Solteros= 36 - 9
Solteros= 27
52% of what number is 45? (Round to the nearest whole number)