Solve each system of equations using matrices.
-2x = -6y + 8
2y = x + 1

Answer:

The cost of an adult ticket is $6

Step-by-step explanation:

You can solve by either substitution or elimination

Let A rep. cost of an adult ticket

Let C rep. cost of a child ticket

9A+12C=$138

3(12A+4C=$100)

-   9A+12C=$138

   36A+12C=$300

-------------------------------

-27A/-27 = -162/-27

A= 6

Answer:

Step-by-step explanation:

Given the following DE = 4X-2

EF = 3x+2

FG 5x-3

GD = 2x+5

Since DE is parallel to GF, this means that the sides are equal hence;

4x - 2 = 5x - 3

4x - 5x = -3 + 2

-x = -1

x = 1

Hence the value of x is 1

Step-by-step explanation:

i had made it in a pic see it

parallel: g(x) = -5/3x + 1

perpendicular: h(x) = 3/5x - 5

neither: j(x) = 2x + 3

Step-by-step explanation:

Find 2r:

11 x 11 = 121

Multiply 2r with pi:

121 x 3.141592654 = 380.1327111

= 380.13 (Nearest hundredth)

I kind of forgot my 6th grade geometry, so I'm sorry if it is wrong.

Answer:

380.13

Step-by-step explanation:

(2r)

2. Multiply 2r (with Pi)

3. 121 x 3.141592654

= 380.1327111

NEAREST HUNDREDTH

= 380.13

ANSWER----------------------------

Answer:

A charge of three means that it loses 3 electrons for stability.

Hence electrons = 8 + 3

= 11

Answer:

There's: 6/8

Step-by-step explanation:

1/4 = 2/8

3 x 2 = 6

6/8 = 3/4

Answer:

There's: 6/8

Step-by-step explanation:

1/4 = 2/8

3 x 2 = 6

6/8 = 3/4

Answer:

13

Step-by-step explanation:

c^2=12^2+5^2

c^2=144+25

c^2=169

c=13

Answer:

in fraction its 33/4

in mixed number fraction its 8 1/4

hoped this helped

Answer:

44/12

Step-by-step explanation:

When adding fractions, remember that both of the fractions need a common denominator. See below:

11/12 + 11/4 * (3) = 11/12 + 33/12 = 44/12

12 is a common denominator, so you need to multiply 11/4 (both top and bottom) by 3.

Answer:

4 trips

Step-by-step explanation:

Given that:

Dimension of rectangular tank :

(20cm * 30cm * 40cm)

Dimension of cubic container used to fill tank = 20cm per side

Volume of tank = (20 * 30 * 40) = 24400 cm³

Volume of cubic container = (20 * 20 * 20) = 8000 cm³

Number of trips it would take :

Volume of tank / volume of container

24400 cm³ / 8000 cm³

= 3.05

Hence, it will take 4 trips

Answer:

The answer would be D. 18157 units3

The volume of the cylinder with height 15 units and radius 11 units is 1815 units³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Given that, a cylinder with height 15 units and radius 11 units we need to find the volume of the same,

So, the volume of the cylinder is = π × radius² × height

= π × 11² × 15

= 1815π

Hence, the volume of the cylinder is 1815 units³

Learn more about volumes click;

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Answer:

Linear equation : y = 2.50h + 5

Step-by-step explanation:

Given that:

Fee for renting roller blades = $5

Per hour charges = $2.50

Let,

h be the number of hours roller blades were rented

y be the total amount

Total amount = Per hour charges * Number of hours + Flat fee

y = 2.50h + 5

Hence,

Linear equation : y = 2.50h + 5

Answer:

B I think, but I might be wrong

Answer:

Cross Multiply

Step-by-step explanation:

Cross multiplication can help answer these questions.

a. 3x-4/8=x+2/3

step 1- multiply 8 and (x+2), and 3 and (3x-4)

8x+16=9x+12

step 2- Subtract 8x on both sides

16=x+12

step 3- subtract 12 on both sides

4=x, or x=4

b. 3(2-r)/4=3+r/6

step 1- open parentheses

3(2-r)=6-3r

6-3r/4=3+r/6

step 2- cross multiply (put them into a equation without fractions by cross multiplying)

(6-3r) · 6= (3+r) ·4

step 3- multiply

36-18r=12+4r

step 4- solve

add 18r on both sides

36=12+22r

subtract 12 from both sides

24=22r

divide by 22 on both sides

24/22 or 12/11=r

r=12/11

c. 4p+3/8=p+2/4

step 1- cross multiply

(4p+3) · 4= (p+2)·8

step 2- open the parentheses

16p+12=8p+16

step 3- solve

subtract 12 on both sides

16p=8p+4

subtract 8p on both sides

8p=4

divide by  8 on both sides

p=4/8, or p=1/2

d. 2(a-7)/15=a+4/6

step 1- open parentheses

2(a-7) = 2a-14

2a-14/15=a+4/6

step 2- cross multiply

(2a-14) · 6 = (a+4) · 15

step 3- open parentheses

12a-84=15a+60

step 4- solve

subtract 60 on both sides

12a-144=15a

(the answer is -144 because a negative minus a negative such as -80-60=-144.

subtract 12a on both sides

-144=3a

divide by 3 on both sides

-48=a, or a=-48

Answer:

6 thousand 438 divided by 6 equals 1 thousand 73

953 divided by 7 equals 136 R 1

Step-by-step explanation:

Calculation for the equations that are correct

The equations that are correct are:

6 thousand 438 divided by 6 equals 1 thousand 73 which is written as 6,438/6=1073 will be calculated using this formula

Numerator/Denominator

Where,

Numerator=6,438

Denominator=6

Let plug in the formula

6,438/6

=1,083

953 divided by 7 equals 136 R 1 which is written as 953/7= 136.1 is calculated using this formula

Numerator/Denominator

Where,

Numerator=953

Denominator=7

Let plug in the formula

953/7

=136.1

Therefore the equations that are correct are :

6 thousand 438 divided by 6 equals 1 thousand 73 and 953 divided by 7 equals 136 R 1

Answer:

-1.4f - 24

Step-by-step explanation:

hope this helps <3

Answer:

-1.4f - 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)

b)

Answer:

The Perimeter figure is: 21.42 mm

Step-by-step explanation:

The given figure consists of two parts:

1) Semicircle

2) Square

Determining the Perimeter of the Semicircle:

Given

Diameter d = 6 mm

Radius r = d/2 = 6/2 = 3 mm

In a semi-circle, the perimeter is made up of half the circumference (arc) of the circle and the diameter of the circle.

Perimeter = 1/2 × ( circumference of the circle ) + d

                = 1/2 × (2πr) + d

                = πr + d

                = 3.14(3) + 6

                = 9.42 + 6

                = 15.42 mm

Thus, the Perimeter of the semi-circle is: 15.42 mm

Determining the Perimeter of the Square:

Given

Length of a side = a = 2mm

Perimeter of square = 4a = 4(2) = 8mm

Thus, the Perimeter of the Square is: 8mm

Now, in order to determine the Perimeter of a complete figure, we need to add the Perimeter of the square and the perimeter of the semicircle and subtract 2 mm.

The reason why we need to subtract 2mm because one side of the square (2mm) is overlapped along the diameter of the semicircle.

Now,

Figure Perimeter = Perimeter of square + Perimeter of Semicircle -  2

                             = 8 + 15.42 - 2

                             = 21.42 mm

Therefore, the Perimeter figure is: 21.42 mm

Note: It seems you may have missed adding the correct choice there.

Step-by-step explanation:

Statement:

This equation is liner because it has a common difference of 3.

Equation:

y=3x+5 since the slope is rise over run and it goes up 3, and right one so 3/1 or 3. Y intercept is 5 since when x=0, y=5.

Graph:

Plot points

(0,5)

(1,8)

(2,11)

[tex] - 5 - 2x - 3 - x[/tex]

Remind that a constant cannot add up or subtract with a variable term. Instead we just leave them.

[tex] - 2x - x - 5 - 3 = - 3x - 8[/tex]

We can add up the same term. A constant can only add up or subtract with a constant. A variable term can only subtract or add up with the same variable term. (you can add or subtract x+x BUT not x²+x as both have different degree.)

[tex] \large \boxed{ - 3x - 8}[/tex]

If you have any questions, you can post in the comment.

Answer:

[tex]-3x - 8[/tex]

Step-by-step explanation:

The only thing you have to do is combine the like terms.

[tex]-5-2x-3-x[/tex]          (combine the x values and the 5 and the 3)

[tex]-3x-8[/tex]                       (That's all)

I'm not really sure what you did but I might have an idea. You might have subtracted the -5 and the -2x, but you cannot do that because they are not like terms and by that I mean that you have to subtract the -x from the -2x. The same goes for the -5 and -3 you have to keep those two together and subtract them. When you do that you will get -3x - 8.

Answer:

37%

Step-by-step explanation:

37/100

Step-by-step explanation:

It will pie r squared is equal to area

/ take this sign as pie

/ ×r^2=50/

r^2=50/÷/

r^2=50

r =

[tex] { \sqrt{50} } [/tex]

=

[tex]5 \sqrt{2} [/tex]

The value of the radius of the given circle is 5√2, of which the area is 50π m².

The formula for the area of a circle is A = πr², where A represents the area and r represents the radius.

As per the question, given that the area is 50π m².

So, we can set up the equation as follows:

50π = πr²

To solve for r, we divide both sides of the equation by π:

50 = r²

Taking the square root of both sides, we get:

√50 = √(r²)

Simplifying the square root of 50 gives:

r = √50

r = √(25 x 2)

r = 5√2

Therefore, the value of the radius is 5√2.

Learn more about the area of the circle here:

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