Solve the system of linear equations by elimination. 12x - 7y = -2 8x + 11y = 30​

Answer: (2,3).

Step-by-step explanation:

We need to find the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1).

Let the point be A.

[tex]PA:PQ=1:3[/tex]

[tex]PA:AQ=PA:(PQ-PA)=1:(3-1)=1:2[/tex]

It means the point A divide the segment PQ in 1:2.

Section formula: If a point divide a segment is m:n.

[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

[tex]A=\left(\dfrac{1(-2)+2(4)}{1+2},\dfrac{1(1)+2(4)}{1+2}\right)[/tex]

[tex]A=\left(\dfrac{-2+8}{3},\dfrac{1+8}{3}\right)[/tex]

[tex]A=\left(\dfrac{6}{3},\dfrac{9}{3}\right)[/tex]

[tex]A=\left(2,3\right)[/tex]

Therefore, the required coordinates are (2,3).

Answer:

you can't there's too many 0's for it to work

Step-by-step explanation:

Answer:

F: 1, -2

G: 3, 1

H: 5, -2

J: 3, -5

Step-by-step explanation:

Hope this helps!!!

Answer:

7.666666667 (non-terminating)

Answer:

$5

Step-by-step explanation:

$2 for cup

$0.75 per topping

4 toppings $0.75 a piece

4 × .75 = 3.00

$2 + $3 = $5

The expression which represents the given situation is 2+0.75x and the ice cream cost Justin is $5.

Given that, Milk Creamery charges $2 for a cup of ice cream and $0.75 for each topping (t).

We need to find which expression best represents the situation, and how much will the ice cream cost Justin.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be addition, subtraction, multiplication, or division.

Now, the expression for the given situation is 2+0.75x

Justin wants a cup of ice cream with four toppings, so the cost of ice cream=2+0.75(4)=$5

Therefore, the expression which represents the given situation is 2+0.75x and the ice cream cost Justin is $5.

To learn more about an expression visit:

https://brainly.com/question/28170201.

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Your question is incomplete, probably the complete question/missing part is:

Milk Creamery charges $2 for a cup of ice cream and $0.75 for each topping (t). Justin wants a cup of ice cream with four toppings. Which expression best represents the situation, and how much will the ice cream cost Justin?

Answer: C. Ronaldo overviewed his account twice.

Step-by-step explanation:

Just took a test on edge.

the answer is 50%

there u go

Answer:

It will be an open dot.

Step-by-step explanation:

By math textbook states that if a symbol is greater than or less than, it has an open dot.

If it has greater than or less than symbol with a line under it, that means it is a closed dot.

Hope this helps!

Answer:

Emily will receive 40 cents in return

Answer:

1)

[tex]12\sqrt{18}-3\sqrt{50}+\sqrt{32}[/tex]

[tex]12\sqrt{9}\sqrt{2}-3\sqrt{25} \sqrt{2} +\sqrt{16} \sqrt{2}[/tex]

[tex]12\times3\sqrt{2} -3\times5\sqrt{2}+4\sqrt{2}[/tex]

[tex]36\sqrt{2}-15\sqrt{2}+4\sqrt{2}[/tex]

[tex]25\sqrt{2}[/tex]

2)

[tex]\frac{1}{5+2\sqrt{6}}[/tex]

Multiply [tex]5-2\sqrt{6}[/tex]:

[tex]\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}[/tex]

Apply Difference of Squares formula: [tex](a+b)(a-b)=a^2-b^2[/tex]

[tex]\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}[/tex]

[tex]\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}[/tex]

[tex]\frac{5-2\sqrt{6}}{25-4\times6}[/tex]

[tex]\frac{5-2\sqrt{6}}{1}[/tex]

[tex]{5-2\sqrt{6}}[/tex]

a = 5, b = -2

Answer:

formula: M (x1 +x2/2 , y1+y2/2 )

M(-6+0/2 , -1+1/2)

M(-6/2 , 0/2)

M=(-3,0)

Step-by-step explanation:

The midpoint of the line ST lies on the x-axis with the coordinate, (-3, 0)

A midpoint is the center of two points, It lies at the same distance from the two endpoints.

The coordinates of the endpoints of a line ST are as follows:

The coordinate of S is (-6, -1)

The coordinate of T is ( 0, 1)

The midpoint of the line ST is M

The coordinates of M is given as,

M = ( x₁ + x₂) /2 , ( y₁ + y₂) /2

x₁ = -6

x₂ = 0

y₁ = -1

y₂ = 1

The coordinates of M is,

( -6 +0) / 2 , ( -1 +1) /2

-3, 0

The coordinates of the midpoint of the line are ( -3, 0).

To know more about Midpoint

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Answer:

0

Step-by-step explanation:

Given

- 0.4(3x - 2) + [tex]\frac{2x+4}{3}[/tex] ← substitute x = 4 into the expression

= - 0.4(3(4) - 2) + [tex]\frac{2(4)+4}{3}[/tex]

= - 0.4(12 - 2) + [tex]\frac{8+4}{3}[/tex]

= - 0.4(10) + [tex]\frac{12}{3}[/tex]

= - 4 + 4 = 0

Answer:

You have to divide it :

[tex]3x \geqslant - 9[/tex]

[tex]x \geqslant - 9 \div 3[/tex]

[tex]x \geqslant - 3[/tex]

Answer:

AB= 12

since M is in the middle

AM + MB = 12

or 7 + MB = 12

MB= 12-7=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

AM + MB = AB

So, AB - AM = MB

Substituting, 12 - 7 = 5

Answer: YES

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is in integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

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

0.35217534

It is a terminating decimal, which fits the third point.

Hope this helps!! :)

Step-by-step explanation:

is this probability question

Answer:

the answer is debt

Step-by-step explanation:

-5x ≤ -10

Divide both sides by -5

x ≥ 2

7x - 21 ≥ 14

Add 21 to both sides

7x ≥ 35

Divide both sides by 7

x ≥ 5

Answer: C

Step-by-step explanation:

To find b₂, we need to use our algebraic properties to isolate b₂.

[tex]A=\frac{1}{2}h(b_1+b_2)[/tex]               [multiply both sides by 2]

[tex]2A=h(b_1+b_2)[/tex]               [divide both sides by h]

[tex]\frac{2A}{h} =b_1+b_2[/tex]                    [subtract both sides by b₁]

[tex]b_2=\frac{2A}{h}-b_1[/tex]

Now, we know that C is the correct answer.

Answer:C

Step-by-step explanation:

Answer:

g = y - 1/h

h = −x − 5/x

g = 2x + 6/x

Answer:

32/55

Step-by-step explanation:

You have to get the total number of boats first :

15 + 32 + 8 = 55

out of the 55 boats, 32 are sailboats

the fraction would be :

32/55

Hope this helps :)

Answer:

The number of people that attended the performance = 2,254

Amount collected at box office = $45,080

Step-by-step explanation:

For the theater to sell out a performance, it means it was filled to the brim( completely filled)

We have 7 sections, with 23 rows each

The total number of rows will be 23 * 7 = 161 rows

Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats

Secondly we want to know how much was collected at the box office given the average ticket price

The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080

Answer: 49

Step-by-step explanation:

50−16/4+3

=50−4+3

=46+3

=49

Answer:

Step-by-step explanation:

2,3

Answer:

The train is moving at a constant positive speed.

Hope this helped :)

Answer:

i would have to go with b or c i would choose one of those

Answer:

-4x? whats the value to x?

Step-by-step explanation:

Answer: Rational

Step-by-step explanation:

3.21 is rational because it is not an infinite decimal number or a square root that is not whole.

Answer:

The time in seconds that the toy train moves is 32.9375 or rounded 33 seconds.

Step-by-step explanation:

hope it helps :) brainliest pls