Sergio and Allen ate lunch together in the school cafeteria. Each boy ordered a cheeseburger with fries. Sergio only ate 1/7 of his cheeseburger, while Allen ate 3/7 of his cheeseburger. How much cheeseburger did they eat together?

Answer:

solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]

First we will solve the inequality to find value of x

Solving:

[tex]\frac{7x-3}{9}\geq 8-2x[/tex]

Step 1: Multiply both sides by 9

[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]

Step 2: Adding 3 on both sides

[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]

Step 3: Add 18x on both sides

[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]

Step 4: Divide both sides by 25

[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]

So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Answer:

$3.50 per lb of apples

Step-by-step explanation:

7/2 = 3.5

Answer:

40.6%

Step-by-step explanation:

discount percentage:

x/y*100

266/655 *100 which is 40.6%

Hope this helps plz hit the crown :D

5x+y=8 equation 1

x+2y=5 equation 2

Subsitute (1,3) in bothe equations if the right side is equal to.the left side of the equation then (1,3) is a solution

5(1)+3=8

1+2(3)=7

7 isn't equal to 5 so 1,3 is NOT a solution for this system of equations

Answer:

No, because substituting the given ordered pair doesn't yield two true expressions

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

domain represents the numbers at the x endpoints of a graph.

on the graph we see that on the left, the line ends when x is -4

on the right, the line ends when x is 4

the domain is

-4, 4

but notice how on the left there is an open circle

this will be written with a parentheses

( -4, 4

and notice how on the right there is a closed circle

this will be written with a bracket

(-4, 4]

so the answer is C

Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

Answer:

Put a shaded dot in 9 and an arrow pointing left

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - 3 = 1/2(x - 0)

y - 3 = 1/2x - 0

y = 1/2x + 3

4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

Answer:

The answer is D-16

Step-by-step explanation:

Since we have x on one side, and 49 degrees on the other, both angles are the same, so we subtract 1 from 49 to get 48, so that 3x has to equal 48. So we just divide 48 by 3 to get 16, so x = 16.

Answer:

several different solutions,

Answer:20 I believe

Step-by-step explanation:

Answer:

yeah it should be 20 they're correct

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+8=10

Step 1: Subtract 8 from both sides.

−2x+8−8=10−8

−2x=2

Step 2: Divide both sides by -2.

−2x−2=2−2

x=−1

Answer:

Answer:

-2

Step-by-step explanation:

The coefficient of an equation or expression is any constant that precedes a variable. So, in this case, the only variable is x, so the coefficient is the preceding number, -2.  

Answer:

This is graph right

Step-by-step explanation:

is this maths or economics

The standard form of the given expression is 7x - y = 17

The equation of line in standard form is expressed as Ax + By = C

Given the equation

y + 3 = 7(x - 2)

Expand

y + 3 = 7x - 14

y -7x = -14 - 3

-7x + y = - 17

7x - y = 17

Hence the standard form of the given expression is 7x - y = 17

Learn more on standard form  of equation here: https://brainly.com/question/187506

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Answer:

the answer is c there bud

Answer:

d

Step-by-step explanation:

a^2 + b^2 = c^2

5^2  + 3^2 = c^2

25 + 9 = c^2

34 = c^2

√34 = √c^2

√34 = c

√34 = x

Answer:

-5,6

Step-by-step explanation:

YO MOM ZZZZZZZZZZZZZZZZP

Answer: 3/4

Step-by-step explanation:

28 members in all - 12 boys = 16 girls

12/16 = 3/4

Answer:

r≈2.55

hope this helps!

The sum of the equation is A = x² + x + 1

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the sum of the equations be represented as A

Now , the value of A is

Let the first equation be P

The value of P = 3x² + 4x - 1

Let the second equation be Q

The value of Q = -2x² - 3x + 2

Now , the value of A = P + Q

Substituting the values in the equation , we get

A = ( 3x² + 4x - 1 ) + ( -2x² - 3x + 2 )

On simplifying the equation , we get

A = ( 3x² - 2x² ) + ( 4x - 3x ) + ( 2 - 1 )

A = x² + x + 1

Therefore , the value of A is x² + x + 1

Hence , the equation is A = x² + x + 1

To learn more about equations click :

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Answer:

A

Step-by-step explanation:

u can just test them out

Answer:

A. y = 2[tex](x - 2)^{2}[/tex] + 5

Step-by-step explanation:

positive 2 because the parabola faces upwards, and + 5 because it's vertex is places at (2,5)

Answer:

He walks 1030 meters if he walks across the park.

Step-by-step explanation:

In order to solve this question we will need to know that [tex]c^{2} = a^{2} + b^{2}[/tex] (were c is the length of the hypotenuse (the diagonal line) of a right angle triangle, and a and b are the legs (the sides that form a right angle). So them means that.....

Let "c" be the distance he will need to walk if he was going to go through the park

Let "a" be the distance he walks on King Street

Let "b " be the distance he walks on Queen Street, then.....

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

(Now plug in the values of a and b and get.....)

c = [tex]\sqrt{500^{2} + 900^{2} }[/tex]

c = [tex]\sqrt{1060000 }[/tex]

c = 1029.563014............

So I would assume that you have to round to the nearest meter. And as a result we get 1030 meter.

Answer:

n=-4

Step-by-step explanation:

[tex]6n+9=-3n-21-6\\6n+9=-3n-27\\9n=-36\\n=-4\\[/tex]

Hope this helps plz hit the crown :D

1.6y+y-4/15y+7/6y=21/3

We move all terms to the left:

1.6y+y-4/15y+7/6y-(21/3)=0

Domain of the equation: 15y!=0

y!=0/15

y!=0

y∈R

Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R

We add all the numbers together, and all the variables

1.6y+y-4/15y+7/6y-7=0

We add all the numbers together, and all the variables

2.6y-4/15y+7/6y-7=0

We calculate fractions

2.6y+(-24y)/90y^2+105y/90y^2-7=0

We multiply all the terms by the denominator

(2.6y)*90y^2+(-24y)+105y-7*90y^2=0

We add all the numbers together, and all the variables

(+2.6y)*90y^2+(-24y)+105y-7*90y^2=0

We add all the numbers together, and all the variables

105y+(+2.6y)*90y^2+(-24y)-7*90y^2=0

Wy multiply elements

-630y^2+105y+(+2.6y)*90y^2+(-24y)=0

We get rid of parentheses

-630y^2+105y+(+2.6y)*90y^2-24y=0

We add all the numbers together, and all the variables

-630y^2+81y+(+2.6y)*90y^2=0

Hoped this helped :)

Answer:

x+x+x=180

3x=180

x=180/3

x=60