Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?

Rewrite the expression on the left using the distributive property.
Multiply both sides by x.
Rewrite the expression on the left using subtraction.
Divide both sides by x.

Answer:

8 liters

Step-by-step explanation:

Given that:

y = 2x

where y is the number of scoops of juice mix, and x is the liters of water required.

To determine the liters of water required for 16 scoops of juice mix;

y = 16

So that,

16 = 2x

x = [tex]\frac{16}{2}[/tex]

  = 8

x = 8 liters

Therefore, Austin would combine 8 liters of water to the 16 scoops of juice mix.

Answer:

1022.50

Step-by-step explanation:

1000*.03= 30. (12mos interest)

30/4=7.50 quarterly interest

7.50x3 (9mos)= 22.50 interest

Answer:

Domain: [-1, 5]

Range: [-1, 2]

Step-by-step explanation:

Answer:

1 2/9

Step-by-step explanation:

Answer: I- I- okay I’m not gonna answer that I-

Step-by-step explanation:

Answer:

Diabetes

Step-by-step explanation:

By consuming that much candy your blood sugar levels would skyrocket causing you to get diabetes.

Answer:

Yes

Step-by-step explanation:

Reason is that a square has all the aspects of a parallelogram a rectangle and a rhombus. It gets its congruent diagonals from the rectangle which is congruent

Answer:

346

Step-by-step explanation:

345.813 is rounded to 346

Answer:

346

Step-by-step explanation:

the 8 rounds it up to 6

Answer:

Yes,

Step-by-step explanation:

You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.

Answer:

 y  = 3x + 3

Step-by-step explanation:

Given parameters;

 Coordinates of the line;

            (-2, -3)

  Slope of the line  = 3

Unknown:

Equation of the line = ?

Solution:

The equation of any straight line is often expressed as;

            y  = mx + c

y and x are the coordinates

c is the intercept

  Now insert values of y, x and m to find c;

   -3  = 3(-2) + c

   -3  = -6 + c

    c = -3 + 6  = 3

The equation of the line is;

         y  = 3x + 3

Answer:

x= -2

Step-by-step explanation:

Move all the terms to the left.

Add all the number together and then add the variables.

Get rid of parenthesis

Move all terms containing x to the left.

The value of x obtained for given diagram is,  12

An angle is a mathematical term which we can defined, when two straight lines or rays meets at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The  inner angle made by the intersection of two polygonal sides.

Exterior angles:-  The  outer angle made by the intersection of two polygonal sides.

Given that,

All the exterior angles are,

(5x + 4), (7x + 4),(4x + 9),(4x + 1),(9x-6)

It is known that,

Sum of Interior angle & Exterior angle is equal to 180°

So we can calculate all the Interior angles,

180°- (5x + 4),  180°-(7x + 4),   180°-(4x + 9),   180°-(4x + 1),    180°-(9x-6)

Formula for sum of all the Interior angles = (2n-4)×90

So, n=5

Sum of all the Interior angles = 540°

[180°- (5x + 4)] + [180°-(7x + 4)]+[180°-(4x + 9)]+[180°-(4x + 1)] +[180°-(9x-6)] = 540

900- 29x- 12 = 540

x = 12

Hence, The value of x is, 12

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Answer:

1164.1

Step-by-step explanation:

Answer:

the answer is 30

Step-by-step explanation:

the mid-segment of a triangle is half of the side that is parallel to it

mid-segment MJ is parallel to line LK

LK is 60, half of 60 is 30

MJ is 30

Answer:

greater then a hundred but less then 150

Step-by-step explanation:

I multilayered by 3.5

Answer:

I think its an obtuse triangle

Answer:

10%2B3x=26-5x Start with the given equation. 3x=26-5x-10 Subtract 10 from both sides. 3x%2B5x=26-10 Add 5x to both sides. 8x=26-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x2−7x−5 / 2x+1

=    6x2−7x−5 / 2x+1

=    (3x−5)(2x+1)  / 2x+1

=3x−5

Answer:

29

Step-by-step explanation:

3 x 8 = 54 - 25 = 29

Answer:

23.253528

Your welcome

Answer:

B. No because it is not a straight line.

Be safe and wear a mask my friend. It's a sick world out there!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because the function graph have to cut the x-inter ones so here you go broooo wish you get it right  

Answer:

- 2/3 is the answer

Answer:

Unlikely

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

took test

Answer:

29 minutes

Step-by-step explanation:

Given

[tex]Total = \$43.25[/tex]

[tex]Entrance\ Fee = \$7[/tex]

[tex]Per\ Minute = \$1.25[/tex]

Required

Determine the number of minutes (t) that he was on the trampoline.

This can be expressed as:

[tex]Total\ Payment = Entrance\ Fee + Amount\ per\ minute * t[/tex]

Where t represents the number of minutes

Substitute values for Total, Entrance Fee and Amount per minute

[tex]43.25 = 7 + 1.25 * t[/tex]

[tex]43.25 = 7 + 1.25t[/tex]

Solving further to get the value of t, we have:

[tex]1.25t = 43.25 - 7[/tex]

[tex]1.25t = 36.25[/tex]

[tex]t = 36.25/1.25[/tex]

[tex]t = 29[/tex]

Answer:

29 minutes

Step-by-step explanation:

7 + 1.25t = 43.25 is the equation

How did I solve this?

I divided those two and that is how you get the equation

In total is 29 minutes

I did the Khan and it was right!

Hope this helps :)

Answer:

c=√a²b²

Step-by-step explanation:

The positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

It is given that the formula of the Pythagorean theorem for a right-angle triangle is, a² + b² = c².

The value of c is calculated as:-

a² + b² = c²

Reverse the equation to calculate a.

c² =  a² + b²

Taking b² to the left side then the equation will become:-

a² = c² - b²

Taking square root on both sides of the equation.

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

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

Therefore, the positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].

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Answer:

Its actually 6x + 6y because your adding all like variables to simplify the expression and since theirs 6x and 6y the equation becomes 6x + 6y

Answer:

this shape consists of a square and triangle

The shape is a Pentagon ... but that won't help get the perimeter or area. you'll have to find the areas and perimeters of both the square and triangle and then add them for the final answer.

Area of figure = area of square + area of triangle

=> Area of Square = a² (a = side)

side = 3.5 cm ...so...

Area of square = a²

= 3.5 × 3.5

= 12.25 cm²

=> Area of Triangle = ½ × base × height

= ½ × 3.5 × 1.64

= 2.87cm²

Area of figure = area of square + area of triangle

Area of figure = 12.25 + 2.87

= 15.12 cm²

Perimeter of figure = P of square + P of triangle

=> P of square = 4a

= 3.5 × 4

= 14cm

=> P of isosceles triangle = 2a + base

= 2 × 2.4 + 3.5

= 4.8 + 3.5

= 8.3cm

Total perimeter of figure = P of square + P of triangle

Total perimeter = 14 + 8.3

= 22.3 cm

Answer: y = 3

Step-by-step explanation:

4(-1)+8y=20

negative * positive = negative

-4+8y=20

add 4 on both sides to isolate 8y

8y = 24

divide each side by 8

y = 3

Answer:

[tex]y=3[/tex]

Step-by-step explanation:

Step-By-Step on how to solve for y is in the attached picture.

Hope this helps! :)

Answer:

120 kids prefer video games

Step-by-step explanation:

60% is .60

multiply .60 by 200 to get your answer.

.60 × 200 = 120