3x-6y=2 and 4x-6y=2 solve by substitution

Multiply the total weight by the percentage

16 ounces x 0.03 = 0.48

0.48 ounces is fat

Step-by-step explanation:

al nth term:

numerator:

[tex] = {n}^{2} [/tex]

denominator:

[tex] = n + 1[/tex]

so nth term :

[tex] = \frac{ {n}^{2} }{n + 1} [/tex]

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

[tex] {an}^{2} + bn + c[/tex]

[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]

[tex]3(1) + 1 + c = 1[/tex]

[tex]3 + 1 + c = 1[/tex]

[tex]4 + c = 1[/tex]

[tex]c = - 3[/tex]

So Tn:

[tex]3 {n }^{2} + 1n - 3[/tex]

Step-by-step explanation:

a)

it is clearly a sequence of the square numbers over the numbers+1.

1/2 = 1²/(1+1)

4/3 = 2²/(2+1)

9/4 = 3²/(3+1)

16/5 = 4²/(4+1)

so, the nth term would be

n²/(n+1)

b)

an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)

since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :

n = 2

a×2² + b×2 + c = 11 = 4a + 2b + c

n = 3

a×3² + b×3 + c = 27 = 9a + 3b + c

n = 4

a×4² + b×4 + c = 49 = 16a + 4b + c

the first equation gives us

c = 11 - 4a - 2b

when we use this in the second equation, we get

27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11

b = 16 - 5a

now we use both of that in the third equation :

49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =

= 16a + 64 - 20a + 11 - 4a - 32 + 10a =

= 2a + 43

2a = 6

a = 3

b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1

c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3

Answer:

27 20 13

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

It follows a pattern of -7 every time.

55,(-7) 48,(-7) 41, (-7)34

55-7=48

48-7=41

41-7=34

34-7=27

Hope this helps! Have a great day!

The aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]

From the complete question, the expression of the area (A) in terms of variables a, b and h is:

[tex]A = ah - bh[/tex]

Factor out h from the expression on the right-hand side

[tex]A = h(a - b)[/tex]

Divide both sides of the equation by (a - b)

[tex]\frac{A}{(a - b)} = h[/tex]

Remove the bracket

[tex]\frac{A}{a - b} = h[/tex]

Rewrite the above equation as follows:

[tex]h =\frac{A}{a - b}[/tex]

Hence, the aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]

Read more about change of subject at:

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Answer:

its 25.

Step-by-step explanation:because 50 divided by 2 is 25.

Answer:

40 units

Step-by-step explanation:

1) Find the side length of the square

Let the side be "s".

[tex]\rightarrow \frac{1}{2} \times s \times s = 50 \ \text{cm}^{2}[/tex]

[tex]\rightarrow s \times s = 50 \times 2[/tex]

[tex]\rightarrow s \times s = 100[/tex]

[tex]\rightarrow \sqrt{s \times s} = \sqrt{100}[/tex]

[tex]\rightarrow s = \±10[/tex]

[tex]\rightarrow s = 10 \ \text{units}[/tex]                                      (Side lengths can never be negative)

2) Find the perimeter of the square

[tex]\text{Perimeter of square = 4(s) = 4(10) = 40 units}[/tex]

Answer:

let me check....

Step-by-step explanation:

Answer:

x=3

y=-2

Step-by-step explanation:

Just ask!

Hope this helps.

(✿◡‿◡)

The correct option is (B). [tex]3x+5y=29[/tex] And [tex]-3x-12y=-48[/tex].

Given Equations,

[tex]3x + 5y = 29......(1)[/tex]

[tex]x + 4y = 16.......(2)[/tex]

We have to find out  Which system of equations is equivalent to the Given system of Equations.

 1). System of equation are,

[tex]3x+5y=29\\-x-4y=16[/tex]

taking - common and transposing to R.H.S we get,

[tex]x+4y=-16[/tex]

This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.

Similarly, on checking other options,

2. system of equation,

[tex]3x+5y=29\\-3x-12y=-48[/tex]

Taking -3 common from L.H.S. we get,

[tex]-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}[/tex]

[tex]x+4y=16[/tex].

Hence the Above system of equation is equivalent to the given system of equation.

So, there is no need to check option (3) and option (4).

Hence the correct option is (B).

For more details on Equations follow the link:

https://brainly.com/question/11897796

[tex]\text{Given that,}\\\\s_1 = 5.95,\\\\s_2 = 5.42\\\\\\F= \dfrac{(s_1)^2}{(s_2)^2} = \dfrac{(5.95)^2}{(5.42)^2} = 1.21[/tex]

Answer:

it's (2,-4)

hope it helps

Answer:

B

Step-by-step explanation:

B

Answer:

  6x² -xy -35y²

Step-by-step explanation:

Use the distributive property, and combine terms.

  (2x +5y)(3x -7y) -2xy

  = 2x(3x -7y) +5y(3x -7y) -2xy

  = 6x² -14xy +15xy -35y² -2xy

  = 6x² +(-14 +15 -2)xy -35y²

  = 6x² -xy -35y²

Answer:

y = 4x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 12 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation

To find c substitute (2, 3 ) into the partial equation

3 = 8 + c ⇒ c = 3 - 8 = - 5

y = 4x - 5 ← equation of parallel line

Answer:

some points that I found!

(0,-2), (-3,0), (-6, 2), keep it going from there, and then shade above the line

Answer: there you go

Step-by-step explanation:

Answer: Long Division Calculator with Decimals

look this up see if it helps

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer: 49/30 or, 1 19/30

Answer: 7:10

Step-by-step explanation: You are asked to find the ratio of sweaters to pairs of jeans. All you do is write the 7 sweaters and the 10 pairs of jeans. And you get a ratio of 7:10. Since this cannot be reduced any further, you just leave it as it is.

Hope this helps.

Answer:

A=B+H

Step-by-step explanation:

I rearange the letters and also I put a plus singe

Answer: 1460720

To find volume just multiply them all-

4*19*31*10*62

1460720 ( i am not sure if those are the numbers you meant)

Solving for x :-

2x - 4y > 6

=》x - 2y > 3

=》x > 3 + 2y

Solving for y :-

2x - 4y > 6

=》x - 2y > 3

=》y < x - 3/2

■ See the attachment for the graph. Since you have not shared the graphs..any graph which looks like this in your question is the correct one.

____

Hope it helps ⚜

b/c = s/r

_________

o0o0o0o0o0

c/d = r/q

________

o0o0o0o0

Answer:

should be 15%

Step-by-step explanation:

formula is |85,000 - 100,690| ÷ 100,690 × 100

Answer:

To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3. Step 1 is to work out the total number of parts in the ratio. 1 + 3 = 4, so the ratio 1:3 contains 4 parts in total.

Step-by-step explanation:

Step-by-step explanation:

hope it will help you a lot.......

C.130°

Answer:

Solution given:

no of sides(n)=6

now

total interior angle of polygon having 6 sides is

(n-2)*180=(6-2)*180=4*180=720°

we have

Sum of interior angle of polygon: 720°

130°+100°+130°+130°+100°+?=720°

590°+?=720°

?=720°-590°

?=130°