2(3x – 1) = 6x – 2 number of solutions

Answer:

Age of Mark [tex]=10[/tex] years

Age of Mark's dad [tex]=30[/tex] years

Age of Mark's sister [tex]=8[/tex] years

Step-by-step explanation:

Let age of Mark be [tex]x[/tex] years.

Mark's dad is three times older than Mark

Age of her Mark's dad [tex]=3x[/tex]

Mark's sister is 2 years younger than Mark

Age of Mark's sister [tex]=(x-2)[/tex] years

The sum of their ages is 48.

[tex]x+3x+x-2=48\\5x-2=48\\5x=50\\x=10[/tex]

Age of Mark [tex]=x=10[/tex] years

Age of Mark's dad [tex]=3x=3(10)=30[/tex] years

Age of Mark's sister [tex]=x-2=10-2=8[/tex] years

Answer:

3.6

Step-by-step explanation:

Answer:

x = -y + 3

y = -x + 3

In standard form, it would be 2x + 2y = 6

Answer:

In solving a system of linear equations, we try to find values for each of the unknowns that will satisfy every equation in the system

Step-by-step explanation:

Answer:

uhhh ok

Step-by-step explanation:

Answer

That's simple the answer is  

Step-by-step explanation:

Answer:

(1+x)

n

=

n

C

0

+

n

C

1

x+

n

C

2

x

2

+

n

C

3

x

3

+.....

n(1+x)

n−1

=

n

C

1

+2

n

C

2

x+3

n

C

3

x

2

+....

Put x=5

n(1+5)

n−1

=C

1

+2.5C

2

+3.5

2

C

3

+....

=n6

n−1

.

Answer:

11

220/x=100/5

(220/x)*x=(100/5)*x       - we multiply both sides of the equation by x

220=20*x       - we divide both sides of the equation by (20) to get x

220/20=x

11=x

x=11.

Answer:

6, 7, 2, 3

Step-by-step explanation:

supplementary means that two or more angles add together to equal 180 degrees

a straight line equals 180 degrees so the intersecting of a line creates two angles that are supplementary. That means <5 is supplementary with 6 and 7.

<5=<1 because the lines intersecting it are parrell. Using the same thinking process for angle 1 as above, it is supplementary with 2 and 3. and since 1 is equal to 5 it is also supplementary to 2 and 3.

Given:

18% increase followed by a 13% decrease.

To find:

The single percentage equivalent to a 18% increase followed by a 13% decrease.

Solution:

Let a number be 100.

If it is increased by 18% then the number becomes

[tex]Number=100+\dfrac{18}{100}\times 100[/tex]

            [tex]=100+18[/tex]

            [tex]=118[/tex]

Then, it is decreased by 13%.

[tex]Number=118-\dfrac{13}{100}\times 118[/tex]

             [tex]=118-15.34[/tex]

             [tex]=102.66[/tex]

New number is 102.66.

Now, the percentage change is

[tex]\%\text{ Change}=\dfrac{\text{New number - Initial number}}{\text{Initial number}}\times 100[/tex]

[tex]\%\text{ Change}=\dfrac{102.66-100}{100}\times 100[/tex]

[tex]\%\text{ Change}=\dfrac{2.66}{100}\times 100[/tex]

[tex]\%\text{ Change}=2.66\%[/tex]

Therefore, the Single percentage change is 2.66%.

Answer:

4,3,2,6

Step-by-step explanation:

this is because all the atoms are in same number in reactants and products

answer:

40°

step by step:

93°+47° (i think the circle at the bottom says 47)=140°

180° ( as the angles in a triangle must add up too 180°) - 140° = 40°

Answer:

D..................

Step-by-step explanation:

Have a nice day

Answer:

The independent variable is the number of bushels of corn with the dependent variable being the cost per bushel.

Step-by-step explanation:

The dependent variable depends on the independent variable. The cost per bushel depends on the availability of bushels.

Answer:

21 shells

Step-by-step explanation:

10+23+21=64

64/3=21.33

always round down, you'll have one left over

Answer:

18

Step-by-step explanation:

10+23+21= 54

54/3=18

Answer:

A reflection

Step-by-step explanation:

It has been mirrored.

Answer:

The pre-image moved 5 units horizontally to form the purple triangle, B.

The pre-image moved 4 units vertically to form the green triangle, C.

Step-by-step explanation:

cap

Step-by-step explanation: gxetuciv

Answer:

Step-by-step explanation:

8a + 16c

8(a + 2c)

answer is C

Part B

8(-5) + 16(-1)

-40 - 16 = -56

Answer:

PART A: 8(a + 2c)

PART B: -56

Step-by-step explanation:

PART A:

8a + 16c

8(a) + 8(2c)

8(a + 2c)

PART B:

8a + 16c

if a = -5, and c = -1,

8(-5) + 16(-1)

-40 + -16

= -56

Answer:

-7

Step-by-step explanation:

might be wrong

Answer:

$-7

Step-by-step explanation:

1-3-6+1

= -2-6+1

= -8+1

= $-7

Answer:

Just for points sorry

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

6+12+14=32

Answer:

Step-by-step explanation:

Answer:

Ohh I Learned this! so You Would just do 3.14 x 10  which is 31.4 so you just  write 31.4 in and the little two   in the top of  the In.

Step-by-step explanation:

I hope this helps:>  If correct feel free to mark brainliest

Answer:

A=31.4in

Step-by-step explanation:

everything is in front of your eyes, I don't know what's hard in it

the area of the circle rule is:

A=πr²

the givens is the that the radius is 10in and use 3.14 instead of π as the question said

A=3.14(10)

A=31.4in

Answer:

82% is her highest score

Step-by-step explanation:

82 is greater than 23, 80, 17 and 20

Answer:

The answer is (16, 4)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

~Hoped this helped~

Answer:

x=1

Step-by-step explanation:

Substitute the y equation for the variable y in the second question

3x +2(4x-2)=7

3x+8x-4=7

11x-4=7

11x=11

x=1

Answer:

2= 4

3= -9

4= 1 and 2/3