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3 years ago

What is (6x+4) - (4x+2)

Mathematics

1 answer:

Nana76 [90]3 years ago

4 0

Answer:

x = -1

Step-by-step explanation:

1. Simplifying

6x + 4 = 4x + 2

2. Reorder the terms

4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x

3. Solving

4 + 6x = 2 + 4x

4. Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.

4 + 6x + -4x = 2 + 4x + -4x

5. Combine like terms: 6x + -4x = 2x

4 + 2x = 2 + 4x + -4x

6. Combine like terms: 4x + -4x = 0

4 + 2x = 2 + 0

4 + 2x = 2

7. Add '-4' to each side of the equation.

4 + -4 + 2x = 2 + -4

8. Combine like terms: 4 + -4 = 0

0 + 2x = 2 + -4

2x = 2 + -4

9. Combine like terms: 2 + -4 = -2

2x = -2

10. Divide each side by '2'.

x = -1

11. Simplifying

x = -1

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3 years ago

Find the area of each part of the trapezoid.

Nikitich [7]

Answer:

Area of Triangle A = 4 cm²

Area of Rectangle = 24 cm²

Area of Triangle B = 4 cm²

Area of Trapezoid = 32 cm²

Step-by-step explanation:

The formula to find the area of a triangle is: $\frac{h_bb}{2}$

The base (b) is 2 and the height (h) is 4.

Now multiply,

2 times 4 = 8

Then divide,

$\frac{8}{2}$ which equals 4.

So the area of Triangle A and B is 4 cm² because they are the same triangles.

The formula to find the area of a rectangle is: a times b.

a=6 and b=4

Multiply,

6 times 4 = 24

So the area of the rectangle is 24 cm²

The formula to find the area of a trapezoid is: $\frac{a+b}{2}h$

A=6

B=10

H=4

So now,

$\frac{6+10}{2}4$

6+10=16

16 divided by 2 is 8.

Last multiply,

8 times 4 is 32.

The area of the trapezoid is 32 cm²

Hope this helped! And have a great day!

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2 years ago

a pitcher contains 11.25 cups of iced tea. You drink 1.5 cups of the tea each morning and 0.75 cup of the tea each evening. When

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Answer:

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Hope this helps! :)

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3 years ago

Read 2 more answers

a line in the coordinate plane has an angle of elevation of 53 degrees. Find the slope of the line correct to four decimal place

Sergeu [11.5K]

Let's make a reference triangle with the x and y axes as the legs of the right triangle. The hypotenuse is the slope where the angle of elevation is based. Given an angle of elevation of 53 degrees, the remaining angle is 37 degrees. Use sine law to calculate for the hypotenuse:

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3 years ago

Mia and Luke made 85 origami together. Mia made 4 pieces of origami every 3 minutes. Luke made 3 pieces of origami every 4 minut

julia-pushkina [17]

For ease of solving, let's first find the rate of Mia and Luke per minute. Since Mia can do 4 pieces every 3 minutes, then she can do $\frac{4}{3}$ of a piece per minute. Luke on the other hand can do $\frac{3}{4}$ of a piece per minute.

To find how many pieces they made, we first need to find the time it took for them to make the pieces. We assign $t$ as the time Mia spent making origami. Since Luke spent 5 more minutes, we can denote his time as $t+5$ .

Putting this into an equation we'll get:
$\frac{4}{3}t+ \frac{3}{4}(t+5)=85$
$\frac{4}{3}t+ \frac{3}{4}t+\frac{15}{4}=85$
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$t=39$

Therefore, Mia made pieces of origami for 39 minutes. Knowing this, we can find out the number of pieces of origami she made:
$39* \frac{4}{3} =52$

ANSWER: Mia made 52 pieces of origami.

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3 years ago