Answer:
The solution is x=3 , y=-4 or (3,-4)
Step-by-step explanation:
Given equations (1 and 2) are:
[tex]3x- 2y = 17\\-2x -5y = 14[/tex]
To solve a system of equation with elimination method, the co-efficients of one of the variables has to be equated and then the equations are added or subtracted to get an equation in one variable.
Multiplying equation 1 by 2:
[tex]2(3x-2y) = 2*17\\6x-4y = 34\ \ \ \ \ Eqn\ 3[/tex]
Multiplying equation 2 by 3
[tex]3(-2x-5y) = 3*14\\-6x-15y = 42\ \ \ \ Eqn\ 4[/tex]
Adding equation 3 and 4
[tex](6x-4y) + (-6x-15y) = 34+42\\6x-4y-6x-15y = 76\\-19y = 76\\\frac{-19y}{-19} = \frac{76}{-19}\\y = -4\\[/tex]
Putting y = -4 in equation 1
[tex]3x-2(-4) = 17\\3x+8 = 17\\3x = 17-8\\3x = 9\\\frac{3x}{3} = \frac{9}{3}\\x = 3[/tex]
Hence,
The solution is x=3 , y=-4 or (3,-4)
Can someone please help me with this question?
Which of the following represents a dilation that is a reduction with a scale factor larger than 1/2?
A: (x,y) ---> (0.4x,0.4y)
B: (x,y) ---> (0.5x,0.5y)
C: (x,y) ---> (1/4x, 1/4y)
D: (x,y) ---> (0.6x, 0.6y)
Thanks!
Answer:
D
Step-by-step explanation:
1/2 is less than .6 and still a reduction
There are 9 girls and 11 boys in a class at a Private
School. Of these students, 3 girls and 4 boys are in
the Running Club. What percentage of the students
at this Private School are in the Running Club?________%
i needdd help plzzzzzzz
Answer:
35%
Step-by-step explanation:
9+11=20
3+4=7
20*5=100
7*5=35
For one Algebra test, John had to answer 23 questions. Of these questions, John
answered 47.8% of them correctly. How many questions did John correctly answer on his
test? Round your answer to the nearest whole number if necessary.
Answer:
11 questions
Step-by-step explanation:
Answer:
10 or 11
Step-by-step explanation:
cross multiply
47.8%/100%=x/23
=10.994
Need help plz I’m not rlly smart at math
Answer:
Step-by-step explanation:
ha ha
Answer:
9ft^2
Step by step explanation:
Area is L × W
so the L would be 3 3/4 ft x 2 2/5ft
with that equation in mind
how do we multiply whole number fractions? well, we make them into improper fractions
3 3/4 becomes (4x3) +3 / 4
2 2/5 becomes (2x5) + 2 / 5
Those answers become
15/4 x 12/5
^ Our improper fractions then we multiply across
15/4 x 12/5
^ 15 x 12 = 180
& 4 x 5 = 20
the final fraction becomes 180/20 and we can simplify that by 20
that becomes 9/1 = 9ft^2
Alisha asked 120 students what kind of pet they liked the most. Exactly 45% of the students said they liked dogs best. What is the tottal number of students who said they liked dogs best?
Answer:
54 students
Step-by-step explanation:
45% of 120 is 54
ILL GIVE YOU BRAiNLIEST I NEED HELP ON THIS ONE
There are 18 green, 11 white, 15 purple, and 7 blue gum balls in a gum ball machine. How many total possible outcomes are there?
a-51
b-7
c-18
d-4
Answer: A. 51
Step-by-step explanation:
Just count all the gum balls in the machine to get the TOTAL possible outcome! (18 green + 11 white + 15 purple + 7 blue gum balls= 51)
Determine the slope of the line represented by the table of values and the y-intercept
The slopes and the y - intercepts of the lines represented by the tables are calculated below.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given are the tables representing the coordinates [x] and [y].
Table [1]
m = (5 - 3)/(-1 + 2) = 2
[y] - intercept = 7
Table [2]
m = (2 - 5)/(-2 + 3) = -3
[y] - intercept = -4
Table [3]
m = (-13 + 17)/(2 - 1) = 4
-1 = 4 x 5 + c
c = - 1 - 20 = - 21
[y] - intercept = - 21
Table [4]
m = (-9 + 4)/(-5 + 6) = - 5
-6 = - 5 x - 4 + c
c = - 26
[y] - intercept = - 26
Table [5]
m = (6 - 3)/(1 - 0) = 3
[y] - intercept = 3
Table [6]
m = (2 - 5)/(-1 + 2) = - 3
[y] - intercept = - 3
Table [7]
m = (6/5 - 2/5)/(0 + 2) = 2/5
[y] - intercept = 6/5
Table [1]
m = (2 - 1)/(1 + 1) = 1/2
[y] - intercept = 1.5
Therefore, the slopes and the y - intercepts of the lines represented by the tables are calculated above.
To solve more questions on straight lines, visit the link below-
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Cory paid $9 for lunch and paid $11 to go to a movie. How much money did he spend?
Answer:
20
Step-by-step explanation:
Because if you add all the money up it would be 20=9+11
Use the figure below to answer questions 3 and 4.
A gre pyramid is packaged indebo
5 inches
6 inches
Sinches
The space inside the box around the pyramid is then filled with protective foam. About how many cubic inches of foam is needed to fill the space around
the pyramid?
Your answer:
8 cubic inches
41 cubic inches
83 cubic inches
125 cubic inches
Volume is a three-dimensional scalar quantity. The volume of foam that is needed in cubic inches is 83.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of foam needed is the difference between the volume of the cube and the volume of the square pyramid. Therefore,
The volume of cube = a³ = 5³ = 125 in³
The volume of Pyramid = (1/3)×blh = (1/3)×5×5×5 = 41.667
The volume of foam needed = 125 in³-41.667 in³ = 83.3334 in³ ≈ 83 in³
Hence, the volume of foam that is needed in cubic inches is 83.
Learn more about Volume:
https://brainly.com/question/13338592
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How many 25cm pieces of wires can
be cut out from a wire of length 4
metres?
Answer:
16
Step-by-step explanation:
4 meters is 400 centimeters and 400/25 is 16 so you can cut 16 pieces of 25cm wire from 4 meters of wire.
Answer: 16
Step-by-step explanation:
4 meters=400 cm
400 divided by 25=16