What is the solution to the system of equations?

y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 3. x equals negative 2.x + 3

Answer:

50

Step-by-step explanation:

There are 50 candies in the bag.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

John ate 40% of the candies in a bag.

If John ate 20 candies.

let the total number of Candies be x.

So, 40% of x = 20

40/ 100 x = 20

x = 2000/ 40

x= 50

Hence, there are total 50 Cadies.

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Answer:

120 m^2

Step-by-step explanation:

Length of the room = 10 m

Breadth of the room = 12 m

We know that, Area = Length * Breadth

Hence,

Total Area of carpet needed to cover the floor of the room = 12 * 10 = 120 m^2

Answer:

He will cover 2,827.433 feet² area of the park with plant food.

Step-by-step explanation:

The diameter of the garden is 60 feet and the radius will be 60 feet/2 = 30 feet.

diameter= 60 feet

radius = diameter/ 2= 60/2= 30 feet

The area of the circle can be found by the formula πr²

Area= πr²=π(30)²

 Area = 900π= 2,827.433 feet²

He will cover 2,827.433 feet² area of the park with plant food.

Answer:

6450

Step-by-step explanation:

Answer:

uhm sorry this is really hard maybe answer 2

Step-by-step explanation:

Answer:

$9.99

$12 99

$5.69

Step-by-step explanation:

the answer there is not any number in hundred place value

Answer:

4 hours

Step-by-step explanation:

5miles /2 hours=10miles/x(proportion)

20miles=5x

x=4

so  4 hours.

Hope this helps :D

If group of boy scouts are hiking the Appalachian Trail. They determine that they are traveling at a rate of 5 miles every 2 hours. It took 4hrs them to travel 10 miles.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

A group of boy scouts are hiking the Appalachian Trail.

They are traveling at a rate of 5 miles every 2 hours

We need to find how long will it take for them to travel 10 miles at the same rate.

Let x be the required time

5/2=10/x

Apply cross multiplication

5x=20

Divide both sides by 5

x=4

Hence it took for them 4 hours to travel 10 miles of distance

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9514 1404 393

Answer:

  factors: (x +5) and (2x -1)

  zeros: -5 and 1/2

Step-by-step explanation:

The factorization can be aided by considering the factors of ac=2·(-5) that have a sum of b=9.

  -10 = -1×10 = -2×5

The sums of these factors are ...

  -1+10 = 9 (the pair we want), and -2+5 = 3

This means we can rewrite the function as ...

  g(x) = 2x² +10x -x -5

and factor by grouping.

  g(x) = (2x² +10x) -(x +5)

  g(x) = 2x(x +5) -1(x +5) = (2x -1)(x +5)

The factors of g(x) are (x +5) and (2x -1).

__

The zeros of the function are the values of x that make these factors be zero.

  x+5 = 0   ⇒   x = -5

  2x -1 = 0   ⇒   2x = 1   ⇒   x = 1/2

Answer:

Step-by-step explanation:

Volume of the closet = Area × height of the closet

Volume of the closet = 36sq.ft × 613ft

Volume of the closet = 22068ft³

Hence the volume of the toilet in cubic feet is 22068ft³

Answer:

6/8

Step-by-step explanation:

Answer:

3/4 or 75%

Step.-by-step explanation:

6/8 = 3/4.

Answer:

x = 18

Step-by-step explanation:

The product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord, that is

21x = 14 × 27 = 378 ( divide both sides by 21 )

x = 18

yea once

they ain't friends no more

bc I stole one

and now there ain't 2 pretty best frens no more

Answer:x = 3

because (34x - 2) and (32x + 4) are two opposite angles

=> 34x - 2 = 32x + 4

⇔ 34x - 32x = 4 + 2

⇔ 2x = 6

⇔ x = 3

Step-by-step explanation:

Answer:

I would say D

Step-by-step explanation:

<GHK and <KHI are supplementary and both adds up to 180 degrees. Since it's a right angle, both of them equal 90 degrees and therefore are equal to one another

Answer:

a and c I think if I'm wrong I will try again

Answer:

The first and third option. (I think)

Step-by-step explanation:

Answer:

n(AUB) = 33

Step-by-step explanation:

U is the 21'st letter of the alphabet so

9 + 1 + 2 + 21 =33

n(AUB) = 33

Answer:

C, ACF,A,A,C

Step-by-step explanation:

3:18 - divide 3 into each side

None

Divide like number 1

Switch the numbers and divide

Do the opposite of number 1

Answer:

{x+y=36

0.1x+0.25y=5.4

Step-by-step explanation:

just took the test sorry for being late

The system of equation that is used to find how many dimes and quarters Victor has is :

x + y = 36

0.1x + 0.25y = 5.40

x = number of dimes

y = number of quarters

Therefore,

Total number of coins will be

1 dime = $0.1

1 quarters =$0.25

Therefore,

Total amount of dollars will be

combine the equations:

x + y = 36

0.1x + 0.25y = 5.40

Therefore, the system of equation that is used to find how many dimes and quarters Victor has is as follows:

x + y = 36

0.1x + 0.25y = 5.40

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Answer:

9x8=72

Step-by-step explanation:

because it counting by nines

there fore some are different but if you multiply them you will get same answer for the  multiplication table shown of nines

example :9x7=63

1x7=7

9x1=9

9x7=63

Answer:

72 is the answer to 9x8

Step-by-step explanation:

have a good day!! :)

Answer:

-[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To get the slope you have to find the difference in Y and put it over the difference in X.  (x2-x1)/(y2-y1). You plug in the points and you get -1/2

Answer:

-1/2

Step-by-step explanation:

Hope this helps.

Answer:

-5

Step-by-step explanation:

Each number is 5 less than the last.

Answer:

(3/5, 1/5)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

3x + y = 2

4x + 3y = 3

Step 2: Rewrite systems

y = 2 - 3x

4x + 3y = 3

Step 3: Solve for x

Step 4: Solve for y

Step 5: Check

Graph the systems of equations.

Answer:

x = 3/5, y = 1/5

Step-by-step explanation:

Starting with:

3x + y = 2

4x + 3y = 3

Multiplying the first equation by -3:

-9x - 3y = -6

4x + 3y = 3

Adding the equations:

-5x = -3

Simplifying:

x = 3/5

Substituting x = 3/5 into the first equation:

9/5 + y = 2

Subtracting:

y = 1/5

Answer: AC = 7√3

tan 30° = [tex]\frac{BC}{AC}[/tex]

=> [tex]\frac{BC}{AC}=\frac{1}{\sqrt{3} }\\\\\=> AC=BC\sqrt{3} =7\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

hihihihihihihihihihihihihi

Answer:

There is 2145.52 cubic inches of air in the ball

Step-by-step explanation:

A round ball is an example is hollow sphere. In order to find how much air the ball holds, the volume of the sphere needs to be found.

Given

Radius = r = 8 in

The volume of sphere is given by:

[tex]V = \frac{4}{3} \pi r^3[/tex]

Putting the values we get

[tex]V = \frac{4}{3} * \frac{22}{7} * (8)^3\\V = \frac{4}{3} * \frac{22}{7} * 512\\V = \frac{45056}{21}\\V = 2145.52\ in^3[/tex]

Hence,

There is 2145.52 cubic inches of air in the ball

Answer:

A.

Just plug in each point for the x and y and find which point is valid

Step-by-step explanation:

Answer:

(4,0)

Step-by-step explanation:

-2y= -4x + 16

y = 2x - 8

Plug 0 in for y

0 = 2x - 8

2x = 8

x = 4

From the river to sea level would be -150 to 0 = 150 feet.

From sea level to the top of the mountain would be 0 to 1350 = 1350 feet.

Total feet = 150  + 1350 = 1,500 feet

Answer: It should be division property of equality.

Answer:

Division Property of Equality

Step-by-step explanation:

To solve this problem Remus needs to isolate the variable, which means to get rid of the 7. Since the 7 is being multiplied the opposite operation needs to be used; the opposite of multiplication is division. So each side needs to be divided by 7, the division property of equality tells us that an equation can be divided by anything as long as it is done on both sides. So to solve use the division property of equality to do 7q/7=49/7, which equals q=7 when simplified.

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2BD=AE[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2 (-3x+3)=5x+11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -6x+6=5x+11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -6x-5x=11-6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -11x=5 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{-11}}[/tex]

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

Midline BD is half the length of base AE, so we have ...

  2BD = AE

  2(3x +3) = 5x +11

  6x +6 = 5x +11 . . . eliminate parentheses

  x = 5 . . . . . . . . . subtract 5x+6