Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.
If each bottle costs the same amount, how much is each bottle of juice?

Answer:

From the graph, it is clear that the point of intersection is:

And the x-coordinate of the point of intersection for the two lines is:

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x+y=-9\\ 2x-5y=-3\end{bmatrix}[/tex]

solving the system of equations

subtracting 2x+y = -9 from 2x-5y = -3

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

[tex]-[/tex]

[tex]\underline{2x+y=-9}[/tex]

[tex]-6y=6[/tex]

so

[tex]\begin{bmatrix}2x+y=-9\\ -6y=6\end{bmatrix}[/tex]

solving for y

[tex]-6y=6[/tex]

Divide both sides by -6

[tex]\frac{-6y}{-6}=\frac{6}{-6}[/tex]

[tex]y=-1[/tex]

[tex]\mathrm{For\:}2x+y=-9\mathrm{\:plug\:in\:}y=-1[/tex]

[tex]2x-1=-9[/tex]

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

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-8}{2}[/tex]

[tex]x=-4[/tex]

Thus, the x-coordinate of the point of intersection for the two lines below will be:

[tex]x=-4[/tex]

Also, the graph is attached.

From the graph, it is clear that the point of intersection is:

And the x-coordinate of the point of intersection for the two lines is:

9514 1404 393

Answer:

  44 inches

Step-by-step explanation:

The sides of a rhombus are all the same length, so we have ...

  AB = BC

  3x -4 = 2x +1

  x = 5 . . . . . . . . . add 4-2x

Then the side lengths are ...

  3x -4 = 3·5 -4 = 11

Four of them total 4·11 = 44 inches.

Answer:

m = -80

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-8 = m/-10 - 16

Step 2: Solve for m

Answer:

We have this equation:

-8 = m/-10 -1

We can add 8 at both sides:

-8 + 8 = m/-10 -16 + 8

0 = m/-10 -8

Now, we can multiply -8 by -10 with the objective of having the same denominator (-10) in all numbers:

0 = m/-10 - 8*(-10)/-10

0 = m/-10 +80/-10

Now, we can delete all denominators

0 = m + 80

And we can say m = -80

Now, we can replace it to see if it's true:

-80/-10 - 16 = -8, so we know that's true

-80/-10 -16 = 8 - 16 = -8 ..

Answer:

[tex]-6x^2\left(3x^5\right)=-18x^7[/tex]

Hence, option (A) is true.

Step-by-step explanation:

Given the expression

[tex]-6x^2\left(3x^5\right)[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

i.e. [tex]x^2x^5=\:x^{2+5} \\[/tex]

so the expression becomes

[tex]-6x^2\left(3x^5\right)=-6\cdot \:\:3x^{2+5}[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:2+5=7[/tex]

                  [tex]=-6\cdot \:3x^7[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:6\cdot \:3=18[/tex]

                   [tex]=-18x^7[/tex]

Therefore,

[tex]-6x^2\left(3x^5\right)=-18x^7[/tex]

Hence, option (A) is true.

Answer: 131

Step-by-step explanation: that one is good

Answer:

There are 3 terms

Step-by-step explanation:

5x, 3y, and 10 are terms so there are three. Terms a separated by signs (like + or -)

Answer:

19:5

Step-by-step explanation:

Answer:

=−ax+x2−3a+3x

Step-by-step explanation:

Answer: 14 per hour

Step-by-step explanation: divide amount earned by hours worked

Answer:

23.826

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

Answer:

Answer:

y=1.125x

Step-by-step explanation:

9/8 is the ratio

so, I would do 9/8 which is 1.125. so, one euro is worth 1.125 dollar

y(dollars)=1.125x(euros)

TEST

27 dollars=1.125 • 24

done

Answer:

(0, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y + 5x = 1

5y - x = 5

Step 2: Rewrite Systems

y + 5x = 1

Step 3: Redefine Systems

y = 1 - 5x

5y - x = 5

Step 4: Solve for x

Substitution

Step 5: Solve for y

Answer:

x = 50°

Step-by-step explanation:

According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,

[tex]x = 15 + 35 = 50[/tex]

Answer:

1/3

Step-by-step explanation:

I have a certain way of doing this, I will start from the Y-intercept, let's say its (0, 2), then, if the next point is (3, 4) i will count up 1, to get to point 3 on the graph, then count left/right to point 4. Thus making my slope 1/2.

Hope that made sense!

Answer:

its is 15

Step-by-step explanation:

trust me plz plz

Answer: it’s a decimal

Step-by-step explanation:

Answer:

$25.75

Step-by-step explanation:

$30.00 - $4.25 = $25.75

Answer:

probably c

Step-by-step explanation:

Answer:

Either A or C

Step-by-step explanation:

For the cube first we find the surface on one side which is 3x3=9ft^2

we have 6 sides 9x6=54ft^2

For the pyramid first we find the surface of the base which is 15x15=225in^2

next we find the surface of the sides which is 7*15/2=52.5in^2 52.5*4=210in^2

210+225=435in^2

Answer:

435 inches for pyramid 54ft for cube

Step-by-step explanation:

52.5 x 4=210

15 x 15 = 225

cube 3 x 3 ft equals 9 feet repeat for all 6 faces u get 54ft

I assume it'd be 9°F.

-1 + 10 = 9

Hope this helps!

Answer:I think its 5miles

Step-by-step explanation:

hope this helps!

Answer:

D) 3.0

Hope this helped

Answer:

Solve for

n

by simplifying both sides of the equation, then isolating the variable.

n

=

2

Step-by-step explanation: