1/2y=4, x-1/2y=2 the system of equations above has solution (x,y)

Answers

Answer 1

Answer:

(6, 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

1/2y = 4

x - 1/2y = 2

Step 2: Solve for y

Define equation:                    1/2y = 4Isolate y:                                 y = 8

Step 3: Solve for x

Define equation:                    x - 1/2y = 2Substitute in y:                       x - 1/2(8) = 2Multiply:                                  x - 4 = 2Isolate x:                                 x = 6
Answer 2

Answer: (6,8)

Step-by-step explanation:

1/2y = 4          

x - 1/2y = 2    

First  solve for y in the first equation.

1/2y = 4      Divide both sides by 1/2

y  =  8  

NOw substitute the value of y into the second equation and solve for x.

x

x - 1/2(8) = 2

x - 4 = 2

  +4     +4

x = 6    

THis makes the solution  (6,8)


Related Questions

In which order would the following numbers come from least to greatest?
-11/5, -2.4, 1.6, 15/10, -2.25​

Answers

Answer: -2.4, -2.25, -11/5, 15/10, 1.6

Step-by-step explanation:

The lowest number would be -2.4. Before you put these numbers in order you will have to convert the -11/5 into -2.2, and the 15/10 into 1.5. After doing this you can put the numbers in order from the lowest of -2.4 the -2.25 the -2.2 and then the numbers switch to positive and 15/10 and then final the highest of 1.6

Answer:

2,4, 2.25, -11/15, 15/10, 1.6

Which of the following is an equation for line m shown below which is perpendicular to the line whose equation is y=2/3x + 4
1) y= -2/3x + 8
2)y= 3/2x + 6
3)y= -2/3x + 12
4)y= -3/2x + 4

Answers

4- y=-3/2 +4
Because 2/3 has to be flipped and change the sign so it would be -3/2. But I am not sure about the y-intercept. I just went with the slope in this case.
Hope it helps!

The line perpendicular to the line y = 2/3x + 4 is 4) y = -3/2x + 4.

What is slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

The given equation of a line in slope-intercept form is y = (2/3)x + 4.

Now, We know lines perpendicular to each other have slopes that are negative reciprocal to each other.

If one line has a slope of 'm' the line perpendicular to it will have slope

(-1/m).

Therefore, From the given options the line y = -(3/2)x + 4 is the line perpendicular to the line y = (2/3)x + 4.

learn more about lines and slopes here :

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Best answer gets Brainliest!!!

Answers

Answer:

b i think

Step-by-step explanation:

because you divide y by 2 to get x

Question 4
Frank wants to buy a pair of boots priced at $49.69. If the
sales tax rate is 6 percent, which is the best estimate of the
tax on the boots?
Your answer-
o $2.40
o $3.00
o $4.00
o $6.00
o Clear answer
Back
Next

Answers

Answer:

$3.00

and haha funny number

PLEASE HELP(Need answer now)

Answers

Answer:

x=74

Step-by-step explanation:

180-106=74

plss mark brainliest

Oranges cost $0.99 per pound and bananas cost $1.39 per pound. Preston bought 2.3 pounds of oranges and 2.7 pounds of bananas. How much did he pay for the oranges and bananas?

Answers

Answer:

$6.03

Step-by-step explanation:

cost of oranges per pound: .99

banaenaes: 1.39

you need to find the total cost for prestons bananas plus his oranges

oranges: .99 x 2.3 = 2.277

bananas: 1.39 x 2.7 = 3.753

2.277+3.753= $6.03

Answer:

0.8

Step-by-step explanation:

What is 11/20 as a decimal and as a representation percent? Please answer fast thank you

Answers

Answer:

0.55 and 55%

Step-by-step explanation:

Answer:

0.55

55%

Step-by-step explanation:

11/20= 0.55

times 100

55%

Solve the system using a matrix. NEED HELP ASAP!!:):)

Answers

1,-4 sorry if wrong :(

Step-by-step explanation:

1.3x+2y=13

3x+2y+-2y=13+-2y

3x=-2y +13

3x/3=2y+13/3

The answer is x= -2/3 y+13/3

2.x= -2/3 y+ -1/3 z +13/3

3.x= -1/5 y +9/5

Which best describes the statement a plane contains at least 3 points not on the same line?

a. always true
b. sometimes true
c. never true
d. cannot tell

Answers

Answer: a. always true

Step-by-step explanation:

A plane is defined as a line and a point outside this line.

We know that for any set of two points, we can draw a line throug them.

Then if we have "3 points not in the same line" is equivalent to have two points in the same line, and the third point outside of it, then this is the definition of a plane.

Then the correct option is A, always true.

​14⋅25​

Express your answer in simplest form.




3/20

2/9

1/10

1/3

Answers

The answer to your question is D

Answer:

Step-by-step explanation:

1/4 * 2/5 =  2/20 = 1/10  :)

Latoyia grew by 10 centimeters in the past year, and is now 1.3
meters tall.
How tall in meters was Latoyia last year?

Answers

Answer:

1.2 meters

Step-by-step explanation:

0.1 meters= 10 centimeters

Solve For X
5(3x-2)=5

Answers

Answer:

15x-10=5

x=1

Step-by-step explanation:

hope it helps bro

Answer:

x=1

Step-by-step explanation:

9x2+4y2 = 36
The foci are located at:
O(-V5,0) and (V5, 0)
0 (-V13, 0) and (V13, 0)
0 (0, -V5) and (0, V5)

Answers

Answer:

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Step-by-step explanation:

Step(i):-

Given Ellipse   9 x² + 4 y² = 36

                     [tex]\frac{9x^{2} }{36} + \frac{4y^{2} }{36} =1[/tex]

               ⇒     [tex]\frac{x^{2} }{4} + \frac{y^{2} }{9} = 1[/tex]

Step(ii):-

  The Major axis lies on y-axis

   Foci of the Formula C² = a² -b² = 9-4 =5

                                 C = √5

The Foci is always lie on the major axis(longest) axis, spaced equally each side of the centre

Given ellipse of the foci is lie on Y- axis

Final answer:-

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

You order pizza on Door Dash. It costs $39. Sales tax is 7%. What is the sales tax?

Answers

Answer:

Sales tax is $2.73. Making the total $41.73

Answer:

2.73 or [tex]\frac{273}{100}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

It is $2.73 because 7% of $39 = 2.73 or [tex]\frac{273}{100}[/tex] according to Desmos.

[tex]--------------------------------------------[/tex]

$39 + $2.73 = $41.73 = Total

[tex]--------------------------------------------[/tex]

The sales tax is $2.73

[tex]--------------------------------------------[/tex]

The total is $41.73

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

32 + 14 add/subtract intergers

Answers

Answer:

32 + 14 = 46

Step-by-step explanation:

Nothing much to explain here, just normal addition..

the answer is 32+12 is 46
mark me brainliest if the answer is correct, thank you in advance :)

We know angle A=74º, angle B=77º, angle C=70º, angle D=39º, and angle E=36º. What is the measure of angle F in degrees?

Answers

Answer:

64º

Step-by-step explanation:

We can find ∠F by looking at triangle BDF. A triangle's interior angles add up to 80º. We know that ∠B=77º and ∠D=39º, and ∠B+∠D+∠F=180º. So, 77º+39º+∠F=180º. Therefore, 116º+∠F=180º, and ∠F=64º.

Based on the information given, the value of angle F is 64°.

From the information given, it was stated that angle A=74º, angle B=77º, angle C=70º, angle D=39º, and angle E=36º.

Therefore, the measure of angle F in degrees will be calculated thus:

B + D + F = 180°

77° + 39° + F = 180°

116° + F = 180°

F = 180° - 116°

F = 64°

Learn more about angles on:

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At​ noon, a tank contained 5cm of water. After several​ hours, it contained 3cm of water. What is the percent decrease of water in the​ tank?

Answers

Answer: 40%

Step-by-step explanation: Percent change=difference/original times 100.

2/5 times 100 is 40%


PLEASEEE HELP!!! Need help pls

Answers

Answer:

Option A

Step-by-step explanation:

Weight of an apple = twice of the weight of a lemon

Weight of an apple = 2(weight of a lemon)

x = 2y ------(1)

x = weight of an apple

y = weight of a lemon

Number of apples in a box = 16

Weight of the apple box (A) = 16x

Number of lemons in another box = 24

Weight of the lemon box (B) = 24y

Therefore, [tex]\frac{A}{B}=\frac{16x}{24y}[/tex]

[tex]\frac{A}{B}=\frac{2x}{3y}[/tex]

[tex]\frac{A}{B}=\frac{2(2y)}{3y}[/tex] [From equation (1)]

[tex]\frac{A}{B}=\frac{4y}{3y}[/tex]

[tex]\frac{A}{B}=\frac{4}{3}[/tex]

Option A will be the correct option.

pls help me. I'm lost

Answers

Answer:

f(-2) = 13

g(4)  = -9

Explanation:

Whenever a question is asking you to find something like, in this example, f(-2) or g(4), you have to substitute whatever number is in the parentheses for every x in the function with that letter.

Let's try to find f(-2). We have to substitute -2 for every x in the function f and simplify:

[tex]f(-2) = -2 (-2)^{3} -3\\f(-2) = -2(-8)-3\\f(-2) = 16 - 3 \\f(-2) = 13[/tex]

Therefore, [tex]f(-2) = 13[/tex].

Next, let's try to find g(4). We have to substitute 4 for every x in the function g and simplify:

[tex]g (4) = -2(4) - 1\\g(4) = -8-1\\g(4) = -9[/tex]

Therefore, [tex]g (4) = -9.[/tex]

how do I find the range of a function?

Answers

Answer:

Overall, the steps for algebraically finding the range of a function are:

1.Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

2.Find the domain of g(y), and this will be the range of f(x).

3.If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

Answer:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x).

If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

The grades on a physics midterm at Covington are roughly symmetric with = 72 and = 2.0. Stephanie scored 74 on the exam. Find the scores for Stephanie’s exam grade. Round to two decimal places

Answers

Answer:1.00

Step-by-step explanation:

A=74-72/2.0

And I did it on kahn

The z - score for the Stephanie’s exam grade will be 1.

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The grades on a physics midterm at Covington are roughly symmetric with μ = 72 and σ = 2.0.

And,  Stephanie scored 74 on the exam.

Now,

The formula for the z - score = ( X - μ ) / σ

Substitute all the values, we get;

The z - score for the Stephanie’s exam grade = ( 74 - 72 ) / 2.0

                                                                       = 2 / 2

                                                                       = 1

Thus, The z - score for the Stephanie’s exam grade will be 1.

Learn more about the z - score visit:

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Which route is longer, Kingston- Edmonds or Sourworth-Fauntleroy?​

Answers

Kingston Edmonds
It’s longer, also I think I did this before

The dimensions of the base of Box 2 are x by 4x − 1. 4x2 – x 4x2 – 1 4x – 4 5x – 1

Answers

its 56. please give brainliestStep-by-step explanation:

Answer:

It's A (4x^2-x) Got it on edge

Step-by-step explanation:

can somebody pls help me.. ​

Answers

If you solve for the vertex of the function, you would get (-3, -1). So I think it would be x = -3 and the function’s maximum value would be -1. Hope this helps!! :)

the table represents a function:

x. f(x)
-5. 4
-1. 0
6. -1
9. -3

What is the value of f(-1)?​

Answers

Answer:

➨ f(-1) = 0

Step-by-step explanation:

➨ Look at the table and compare.

Notice that when x = -1, f(x) = 0

f(-1) is like substituting x = -1 and get the f(x) value at x = -1.

Thus, f(-1) = 0

Help anyone need it asap
8th grade math

Answers

Answer:

x =22

Step-by-step explanation:

The two angles are corresponding angles , so the angles are equal

x+14 = 5x-74

Subtract x from each side

x+14-x = 5x-x-74

14 = 4x-74

Add 74 to each side

14+74 = 4x-74+74

88 = 4x

Divide by 4

88/4 = 4x/4

22 =x

55) A dilation of scale factor of 4 will produce a congruent figure
True or False​

Answers

Answer:

False

Step-by-step explanation:

When a figure is dilated by a scale factor of 4, the new figure produced will be 4 times the size of the original figure. This means that, the size would change while the shape remains the same as the original figure.

Congruent figures must have the same shape and size.

Therefore, the figure produced when a dilation of scale factor of 4 is done is not a congruent figure. Rather, it is a similar figure.

So, get statement is FALSE.

Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being “very satisfactory.” This number represented 45% of the total number of customers who took the survey.

Answers

144 is 45% of the total customers who took the survey.

Total customers who took survey= 144 × 100/45 = 320

Brian and Colin win some money and share it in the ratio 5:1. Brian gets £60 more than Colin. How much did they get altogether?

Answers

Brian gets 5x and Colin gets x amount.

Brian gets 60 more than Colin, so you get:

5x - x = 60

Simplify to get:

4x = 60

Divide both sides by 4:

x = 15

Brian gets 5x = 5(15) = 75

Colin gets x = 15

75 + 15 = 90

The total amount they get is £90

What is the prime factorization of 42?
O 2x 3x4
o 2x3x7
O 3x3 x4
O 3x3x7
HELP PLEASEEE I WILL GIVE BRAINLIEST

Answers

Answer:

its 2nd one

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

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