Which method is the best way to solve the system shown below? 3x + 4y = 12 3x - 4y = 5

Answers

Answer 1

Answer:

[tex]3x + 4y = 12 \\ 3x - 4y = 5 \\ 6x = 17 \\ x = \frac{17}{6} \\ 3 \times \frac{17}{5} - 4y = 5 \\ 51 \div 5 - 4y = 5 \\ \\ 10.2 - 5 = 4y \\ y = \frac{5.2}{4} [/tex]


Related Questions

can someone help me with this question

Answers

Answer:

The horizontal shift is to the left by 2 units and the vertical shift is down 3 units for this function.

I hope I was able to help!

Step-by-step explanation:

5*5(5000/50)^5
What is the answer

Answers

Answer:

312500000

Step-by-step explanation:

3. Felicia borrowed $1,000 from her bank at a monthly interest rate of 2%. If she paid back the loan after 4
months, how much money did she pay back? Show your work

Answers

Answer:

80

Step-by-step explanation

(1000)(4)(2%)

80

What is 2.73 divided by 30

Answers

Answer:

2.73 divided by 30 is 0.091

Answer:

0.091

Step-by-step explanation:

First, let's convert 2.73 into a whole number by multiplying it by 100.

2.73 × 100 = 273.We also have to multiply 30 by 100.30 × 100 = 3000

Now, we divide 273 by 3000.

Using the Eyeball Test, what is the BEST method to use to solve the following system? y= 2x - 4 y = 3x - 7 ​

Answers

Answer:

substitution

Step-by-step explanation:

where you do: 2x - 4 = 3x - 7  because they both equal y

5+(3×n)=5

Which value of n makes the number sentence true?



1

0

−3

−5

Answers

Answer:

0 makes the statement true.

explanation:

5+(3×n)=5

5 + 3n = 5

3n = 5 - 5

3n = 0

n = 0

check:

5+(3×0) = 5

5 + 0 = 5

5 = 5

Both sides equal, therefore statement true.

A store display will have 6 rows, with 12 containers in each row.
If 39 containers has been set up so far, explain how to find the
number of containers that still need to be set up. Then solve the
problem

Answers

Answer:

A total of 72 containers need to be set up. If 39 are already placed then there are 33 left. You multiple the number of rows by the number of containers per row to find your total and subtract what has already been done.

The basic wage earned by a truck driver for a 40-hour week is $560. 0. A) Calculate his hourly rate. For overtime work, the driver is paid one and a half times the basic hourly rate. Calculate his overtime wage for 10 hours of overtime

Answers

Answer:The basic wage earned by the truck driver for 40 hours of work is $560. The hourly rate can be calculated from this. It is equal to 560/40 = $14.

Step-by-step explanation:

find the distance between the pair of points (10,25) and (-17,9)

Answers

Answer:

31.4

Step-by-step explanation:

Answer:

31.4 or Just 31 if it must be a whole number

Explanation Below:

Please help!!!!
Trigonometry
Find the value of aBc
Compound shape

Answers

Answer:

∠  ABC = 75°

Step-by-step explanation:

using the sine ratio in right  Δ ABD

sin ABD = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AD}{AB}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex] , then

∠ ABD = [tex]sin^{-1}[/tex] ( [tex]\frac{1}{2}[/tex] ) = 30°

Using the sine ratio in right Δ CBD

sin CBD = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CD}{BC}[/tex] = [tex]\frac{3}{3\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] , then

∠ CBD = [tex]sin^{-1}[/tex] ( [tex]\frac{1}{\sqrt{2} }[/tex] ) = 45°

Then

∠ ABC = ∠ABD + ∠ CBD = 30° + 45° = 75°

I will mark your answer if correct

Answers

Answer: -7 and 4

Step-by-step explanation: -2 - 5 = -7 and 7 - 3 = 4

g(m) = -2n/9

explanation:

make "m" the subject.

solve:

-2m - 5n = 7m - 3n

-2m - 7m = -3n + 5n

-9m = 2n

m = -2n/9

[tex]\rightarrow \sf \bold{m=-\dfrac{2n}{9}}[/tex]

Find an equation for the perpendicular bisector of the line segment whose endpoints are (6,9) and (2,5).​

Answers

Answer:

  x + y = 11

Step-by-step explanation:

The perpendicular bisector goes through the midpoint of the segment and has a slope that is the opposite reciprocal of the slope of the segment. The midpoint is ...

  M = (A+B)/2 = ((6, 9) +(2, 5))/2 = (6+2, 9+5)/2 = (8, 14)/2

  M = (4, 7) = (Mx, My)

The slope can be found from the differences of the coordinates of the two points:

  (Δx, Δy) = (2 -6, 5 -9) = (-4, -4)

Factoring out -4, this becomes

  (Δx, Δy) = (1, 1)

__

These values can be used directly to form the equation of the perpendicular line:

  (Δx)(x -Mx) +(Δy)(y -My) = 0

  1(x -4) +1(y -7) = 0

  x + y = 11 . . . . . . . . . add 11 and simplify

___

Additional comment

Using "standard form" for the equation, we don't actually need the value of the slope. If you were to use point-slope form or slope-intercept form for the equation of the line, then you would need to know the slope of the segment is ...

  m = Δy/Δx = 1/1 = 1

and the slope of the perpendicular is ...

  m' = -1/m = -1/1 = -1

_____

To read more about perpendicular bisectors, see ...

https://brainly.com/question/26903617

In order to increase the cicumference of a circle from 12 pi to 18 pi, by how much must the diameter increase

The diameter must increase by ___ cm

Answers

Answer:

12 and 18 would be the diameter

Step-by-step explanation:

the circumference of a curcle is pi x diameter

so the difference is 6, which is the difference between 12 and 18

I WILL GIVE BRAINLIEST:
1. Please explain
2. Show your answer

Answers

Answer:

Measure of side a: 9

Measure of side b: 12

Measure of side c: 15

Side a/c: 9/15 = 3/5

Side b/c: 12/15 = 4/5

Side a/b: 9/12 = 3/4

Step-by-step explanation:

Give 4 reasons to get a pug, and 4 to get a papillion

Answers

Answer:

Pugs are natural cuddlers.

Pugs tend to be smart, observant, and quick learners. ...

Pugs are relatively low-maintenance.

With pugs, a little exercise goes a long way.

Pugs get along well with other animals

Step-by-step explanation:

please mark me as brainlist

Answer:

Her answer is right .... ....

1. since A^2= 36x^2, a=?
2. since b^2= 49, b=?

Answers

Answer:

D

Step-by-step explanation:

36x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

then

36x² - 49

= (6x)² - 7²

= (6x - 7)(6x + 7)

Thus 6x - 7 is a factor of the expression

We need to simplify the expression 36x² - 49 , but let's recall the identity which is the main key to solve this question i.e

[tex]{\boxed{\bf{a^{2}-b^{2}=(a+b)(a-b)}}}[/tex]

So , here we can write the above expression as

[tex]{:\implies \quad \sf (6x)^{2}-(7)^{2}}[/tex]

Now , using the above identity this can be written as :

[tex]{:\implies \quad \sf (6x-7)(6x+7)}[/tex]

So , here both (6x-7) and (6x+7) are factors of 36x²- 49 , but in the options their is only 6x - 7.

Hence , Option D) 6x - 7 is correct

As here , 36x² = (6x)² = a² , so a = 6x and as 49² = 7² = b² , so b = 7

Mr Radebe has a cube bathroom with a height of 3 m. What is the volume of his bathroom?

Answers

Answer:

The volume is 27 meters

Step-by-step explanation:

Since a cube is literally a square, all sides are equal.

The formula for the volume is Length*width*height

(3*3*3)

3*3*3=27

helppppppppppppppppppppppppp

Answers

Answer:

[tex]\frac{8}{5}[/tex]

Step-by-step explanation:

8 cookies being  divide by tia and 4 friends

tia and 4 friends = 5 people

A pet store kept their hamsters in cages with 6 per cage. For their Christmas sale they put out 6 cages and end
up selling ait but 9 hamsters. How many hamsters did they sell during their Christmas sale?

Answers

Answer:

The answer would be 27

Step-by-step explanation:

If it is 6 per cage that would mean it is 6 times 6 (since they put out 6 cages) which is 36. They sold all but 9. The question is askin how many hamsters did they sell. So you would do 36-9 which is 27

really need help with Dilations in the Coordinate Plane

Answers

Answer:

I'd say (x,y) --> (2x,2y)

Step-by-step explanation:

Please understand if I'm wrong because I couldn't enhance the image. The quality made it a bit hard for me to accurately tell.

Sorry if I'm wrong.

What is the greatest common factor (GCF) of 15 and 6x?

Answers

Answer:

3

Step-by-step explanation:

Factors of 15:   1, 3, 5, 15

Factors of 6x:  1, 2, 3, 6, x

Therefore, the greatest common factor (the highest factor that they both share) is 3

✏ GCF

Factor = f

——————

f15 = 1, 3, 5, 15

f6 = 1, 2, 3, 6, x

So the answer is 1 and 3, but we need to give the answer from the highest number. The highest number is 3.

#CarryOnLearning

#LibreAngMatuto

What are the possible names of the angle shown here? Select all that apply.

Answers

Answer:

i think you forgot to attach a model...

Step-by-step explanation:

Help please important

Answers

Answer:

138°

Step-by-step explanation:

X = 180° - 42° [Sum of angles in a triangle]

X = 138°

Answer: 48 degrees.

Step-by-step explanation: The key to finding a missing interior angle is to have all the angles add up to 180.  The corner with the square means that the angle is 90 degrees.  An angle has been provided, which is 42 degrees. Now, we can add 42 and 90, and you have 132 degrees so far. Now, we need to subtract 132 from 180 and we have 48 degrees. That is your value of x.

Have a great day! :)

someone please help me work this problem out, this is very confusing.

Answers

Answer:

24

Step-by-step explanation:

You are basically inserting -4 into the function as x. It would be (-4)^2-2(-4) You can simplify it into 16 - (-8) or 24.

Answer:

24

Step-by-step explanation:

Well, f(-4) is the case in the formula when x=-4.

On that occasion, f(-4)=(-4)^2-2*(-4)=16+8=24

Steven has a bag of 20 pieces of candy. Five are bubble gum, 8 are chocolates, 2 are fruit chews, and the rest are peppermints. If he draws one piece of candy what is the probability that it will be chocolate?

Answers

Answer:

8/20

Step-by-step explanation:

This answer is 8/20 because they’re only 8 chocolates in the whole bag. So it is the amount you have over the total.

2. A bike costs
A
$650. During,
Sale it is marked
Idown 35%. What is
the sale price of the
bike?

Answers

Answer:

$422.5

Step-by-step explanation:

Original price: $650

New sale price:

$ 650x(1-35%) = $422.5

Find the Mean
34,39,40,47,

Answers

Answer:

40

Step-by-step explanation:

34+39+40+47=160

160/4=40

Hope this helps :)

[tex]\\ \rm\rightarrowtail Mean=\dfrac{\sum n}{n}[/tex]

[tex]\\ \rm\rightarrowtail Mean=\dfrac{34+39+40+47}{4}[/tex]

[tex]\\ \rm\rightarrowtail Mean=\dfrac{160}{4}[/tex]

[tex]\\ \rm\rightarrowtail Mean=40[/tex]

Answer now give brainless

Answers

Answer:

Reflected over x axis

compressed by 2

right 3

up 3

Step-by-step explanation:

I graphed both and looked at the differences

7x-14=2x+11
X=?
(step by step)

Answers

Answer:

7x-14=2x+11

Step-by-step explanation:

Collect like terms

7x-2x=11+14

5x=25

Divide both sides by the coefficient of x(5).

x=25/5

x=5

Answer:

x=5

Step-by-step explanation:

The first thing we need to do in this equation is to get both of the x variables on the same side.

How do we do this you might ask? Well, need to cancel out the 2x so all we have left is one x variable. We can do this by subtracting 2x from each side.

The important thing to remember when solving equations like these is that whatever you do to one side, you MUST do to the other side.

2x-2x is 0 so that cancels out the 2x on the right side. 7x-2x=5x so we are left with that for our left side.

Now, we have to get rid of the constants (the non-variable numbers)

Let’s cancel out the 14 on the left side so the x is still by itself.

Add 14 to -14 to cancel it out. Do the same to the right side. 14+11=25 so that 25 is what we are left with on the right side.

Our equation becomes 5x=25

Now we have to completely isolate the x with no coefficient. We do this by dividing 5 by each side. But remember the rule, whatever you do to one side, you must do to the other. So we divide 25 by 5 as well.

5x/5 is x and 25 divided by 5 is 5

So our final answer is…

X=5

Hope this helped and please award brainliest.

Have a great day!

Figure J, the small quadrilateral, was dilated with the origin as the center of dilation to create Figure K, the large quadrilateral.

Which rule best represents the dilation that was applied to Figure J to create Figure K?

!you can open the image in a new tab to make it bigger!

Answers

Answer:

(x, y) -> (2.5x, 2.5y)

Step-by-step explanation:

To find which equation is correct, first, let's find a similar point of Figure J and Figure K.

Figure J: (-3, -2). Figure K: (-7.5, -5)

As you can see, Figure J was enlarged by a SF of 2.5 because -3 x 2.5 = -7.5, and -2 x 2.5 = -5.

Therefore, the answer is (x, y) -> (2.5x, 2.5y).

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