Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25
Answer:
(6, - [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
Given the 2 equations
3x - 4y = 20 → (1)
4x - 2y = 25 → (2)
Multiplying (2) by - 2 and adding to (1) eliminates the y- term
- 8x + 4y = - 50 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 30 ( divide both sides by - 5 )
x = 6
Substitute x = 6 into either of the 2 equations and evaluate for y
Substituting into (1)
3(6) - 4y = 20
18 - 4y = 20 ( subtract 18 from both sides )
- 4y = 2 ( divide both sides by - 4 )
y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]
Solution is (6, - [tex]\frac{1}{2}[/tex] )
The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The linear equations are given below.
3x - 4y = 20 ...1
4x - 2y = 25
8x - 4y = 50 ...2
Subtract equation 1 from equation 1, then we have
8x - 4y - 3x + 4y = 50 - 20
5x = 30
x = 6
The value of the variable 'y' will be given as,
3(6) - 4y = 20
18 - 4y = 20
4y = - 2
y = - 0.50
The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).
More about the solution of the equation link is given below.
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Solve for x 23x=10, Help me please
Answer:
the answer is 10 over 23
Answer:
x= 10/23 = 0.435
Step-by-step explanation:
The grasshopper jumps either one block to the north, or one block to the west. He needs to reach the point that is located four blocks west and three blocks north of his current position. The grasshopper needs to avoid two dangerous intersections. The first intersection is one block west and one block north of his current position, and the second intersection is two blocks west and two blocks north of his current position. In how many ways can the grasshopper reach the desired destination?
Please help, im kinda new here, so I need answers immediately, I hope brainy doesn't fail me!
Answer:
The number of ways the grasshopper can reach the desired destination are 9 ways
Step-by-step explanation:
The directions in which the grasshopper can jump are;
One block north and one block west
By counting, we have;
The number of possible ways are through blocks
1) 1, 2, 5, 6, 8, 10
2) 1, 2, 5, 6, 8, 9
3) 1, 2, 5, 6, 7, 9
4) 1, 2, 3, 6, 8, 10
5) 1, 2, 3, 6, 8, 9
6) 1, 2, 3, 6, 7, 9
7) 1, 2, 3, 4, 7, 9
8) 15, 14, 16, 12, 11, 10
9) 12, 13, 16, 12, 11, 10
Therefore, there 9 ways the grasshopper can reach the desired destination.
Answer:
9
Step-by-step explanation:
The diagram below shows y as a functional of x, True or False?
A)True
B)False
Answer:
False
Step-by-step explanation:
A function can't have 2 y-intercepts so y is not a function of x
Answer:
I believe it is A.
step-by-step explanation:
Because on the grid it is the Y corrdinate and the X coordinate so I belive it id True.
Hope it helps!
Have a brainly day! :D
Try solving the equation 2x + 20 = 12x
Answer:
x = 2
Step-by-step explanation:
2x + 20 = 12x
First, we have to put our exponent on the same side of our equation
2x + 20 = 12x
-2x -2x
20 = 10x
Now, we have to divide by 10 on both sides to get our exponent on its own (x)
20 = 10x
÷10 ÷10
2 = x or x =2
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Margaret paid 1.37 with q quarters and $0.12 in other change.What is q?
You want to buy some beans. An 8-ounce package costs $2.88. A 14-ounce package costs $4.76. A 20-ounce package costs $7.40. Which package is the Best Buy?
Answer:
20 ounce package
Step-by-step explanation:
will last forever
4. If S is in the interior of ZPQR , then mZPQS + m_SQR = m_PQR.
a. Protractor Postulate
b. collinear
c. angle bisector
d. angle
e. Angle Addition Postulate
I need your help please.
Answer:
1. y-int=5, concave up, a greater than 0
2. y-int=-3, concave down, a less than 0
3. y-int=0, concave up
Step-by-step explanation:
Identify the angles that each have a measure of 124º.
Answer:
Angle 1, angle 3 and angle 7 will be the equal angles.
Step-by-step explanation:
In the figure attached,
Two lines are parallel and a transversal line is intersecting these parallel lines.
Congruent angles to the angle measuring 124° will be,
m(∠7) = 124° [Vertical angles]
m(∠1) = 124° [Corresponding angles]
m(∠3) = 124° [Alternate interior angles]
Therefore, ∠1, ∠7 and ∠3 will measure the same as 124°.
What is the prime factorization of 72?
Answer:The prime factorization for 72 is 2×2×2×3×3
Solve the equation for the specified variable. Y=AB-2, For A
Answer:
b = 1
b = -1
a = 0
Step-by-step explanation:
please help dkjhdkjhdkjhsdghjk
Answer:
thirty............................... sorry it wouldnt let me answer without "20 characters"
3(8 - 7) = 2(10 + 8)
Answer:
3(8-7)=2(10+8)
3(1)=2(18)
3= 36
I don't know what your instructions say but this is false. 3 is not equal to 36.
Find the measure of 1 in the figure, shown to the right.
Answer:
∠1 = 81°
Step-by-step explanation:
∠1 and 81° are corresponding angles and corresponding angles are equal to each other.
The measure of ∠1 in the figure is 81°.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given is a figure of two parallel lines which is cut by a transversal line.
There are many properties for the angles formed by the transversal lines.
One of the property is that corresponding angles are equal.
Corresponding angles are the pair of angles which are on the same side of each parallel lines and at the same side of the transversal but at different intersections.
In the given figure,
∠1 and 81°, ∠3 and ∠7, ∠2 and ∠6, ∠4 and ∠8 are corresponding angles.
Since ∠1 and 81° are corresponding angles ∠1 = 81°.
Hence, measure of angle 1 is 81 degrees.
To learn more about Angles, click on the link :
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Find an expression which represents the sum of (6x – 4) and (-2x + 5) in simplest terms.
Answer:
5
Step-by-step explanation:
because if you add -2x and 5 you would get 3 also if you subtract 6x-4 you would get 2x so add 2x and 3x then you would get five
Miranda has borrowed $2000 from Bank of America to help pay for a flat screen TV. The $2000 was obtained at a rate of 5% for a period of 36 months. How much will she have paid for the TV after the 36 months?
Answer:
u get 300Step-by-step explanation:
so what ur looking for is the "I" and first we covert 36 months in 3 years the do this set up 2000(0.05)3If f(x)=3x+12, find the value of x so that f(x)=36
with steps please!
Answer:
x = 8
Step-by-step explanation:
36 - 12 = 24
24/3 = 8
What is the present value of an asset that yields $1,500 in five years and $3,000 in 10 years if the discount rate is 8%
Do you hate when people don’t answer your questions
Answer:
yes
Step-by-step explanation:yes
plzz need help
help a fellow brainly
Step-by-step explanation:
b= -2A-a
---------------
h
The third option is right
HAVE A GOOD DAY!
Answer:
its the third one
Step-by-step explanation:
One-third x + one-sixth y = 2. When x is 3, 1 x + StartFraction 3 Over 6 EndFraction y = 6. One-half x + three-fourths y = negative 3. When x is negative 2, negative 1 x minus StartFraction 6 Over 4 EndFraction = 6. Negative 1 y = 12. Continue solving the system of equations. What is the solution to the system? ( 1 , 3
Answer:
that makes no sense buttt HEYYY
Step-by-step explanation:
Answer:
12,-12
Step-by-step explanation:
i just did it
what is 16 divided by 3482?
Answer the answer is 217.62.
Step-by-step explanation:
how do I write the expression (4f-3+2g)-(-4g+2) in standard form
Answer:
4f-5+6g
Step-by-step explanation:
Fuji apples grown at a certain orchard have a mean weight of 5.2 ounces with a standard deviation of 0.8 ounces. Suppose the scale the orchard owner uses systematically underweighs apples by 0.2 ounces and also weighs the apples in grams, rather than ounces. What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).
Answer:
Mean 140 grams
Standard deviation 22.4 grams
Step-by-step explanation:
What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).
Mean = 5.2 ounces.
First step would be to convert from ounces to grams
1 ounce = 28 grams
5.2 ounces =
5.2 ounces × 28 grams
= 145.6 grams
He underweighs by 0.2 ounces
We convert this too
1 ounce = 28 grams
0.2 ounce =
0.2 ounce × 28 grams
= 5.6 grams.
The new mean weight of the Fuji apples is grams = 145.6 grams - 5.6 grams = 140 grams.
Standard Deviation = 0.8 ounces.
Even though he underweighed that apples by 0.2 ounces, there has minimal effect on the standard deviation of the apples.
Hence, the standard deviation if the apples in grams =
1 ounce = 28 grams
0.8 ounce =
0.8 ounce × 28 grams
= 22.4 grams
If a spacecraft was parked on Venus and needed to make a flight to Jupiter, how far would it need to travel? Show your work and provide your answer in scientific notation.
Jupiter is 779 million and Venus is 108 million
please help
Answer:
you shpuld add both then multiply it by 2
Step-by-step explanation:
Answer:
you shpuld add both then multiply it by 2
Step-by-step explanation:
What is 3 to the -3 power simplified
Answer:
[tex]\frac{1}{3^3}[/tex]
Step-by-step explanation:
Anything to a negative power is pretty much,
(1 divided by (the whole exponet and with bae but the exponent is positive))
so i this case, it is 1/ 3^3
A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures 9cm The longest side of the drawing measures 37cm The longest side of the actual triangular piece to be sculpted must be 16.3m long. How long will the shortest side of this piece be?
Answer:
396.5cm or 3.965m
Step-by-step explanation:
A sculptor is designing her new triangular masterpiece. In her scale drawing,
Scale Drawing
The shortest side = 9cm
The longest side = 37cm
Actual Drawing
The longest side of the actual triangular piece= 16.3m long.
We convert from meter to cm
1m = 100cm
16.3m =
Cross Multiply
= 16.3 m × 100cm/m
= 1630cm
How long will the shortest side of this piece be?
Let the shortest side be represented by x
9/37 = x/1630
Cross Multiply
37x = 9 × 1630
x = 9 × 1630/37
x = 396.48648649cm
≈ 396.5cm
Or converting to meter
= 396.5cm/100
= 3.965m
At school 2 out of every 5 students in the sixth grade are members of the band which ratio represents the number of 6th graders that are not members of the band
Answer:3:5
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
had that answer
So anyone know the answer to this question
Answer:
D, 5
Step-by-step explanation:
1) 2 times 6 is 12
2) 12+3 = 15
3) 15/3 = 5