All categories

3 years ago

10q − 5q + q − q = 10

Mathematics

2 answers:

inn [45]3 years ago

8 0

Step-by-step explanation:

$\tt{10q-5q+q-q=10 }$ ⠀

$\tt{11q-6q=10 }$ ⠀

$\tt{ 5q=10 }$ ⠀

$\tt{ q=\dfrac{10}{5} }$ ⠀

$\tt{ q=2 }$ ⠀

Sergeeva-Olga [200]3 years ago

5 0

Step-by-step explanation:

10q-5q+q-q=10

5q=10

q=10/5

You might be interested in

Write the following question expression in simplest binomial form 4(3x-2)-2(4x+5)

Oduvanchick [21]

$4(3x-2)-2(4x+5)$

$12x-8-8x-10
$

$(12x-8x)+(-8-10)
$

$4x-18
$

4 0

3 years ago

The cloth top of the gazebo in Mr. Chang’s backyard has ripped from weathering. He needs to know the area of the cloth so he can

antoniya [11.8K]

Answer:

The correct answer is A. 60 square feet.

Step-by-step explanation:

1. Let's review the data provided to us for solving the question:

The gazebo in Mr. Chang's backyard, according to the figure, is a square pyramid because its base is a square of 6 feet as length of its sides.

Length of the sides of the base = 6 feet

Slant length = 5 feet

Height = 4 feet

2. How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?

Area of a square pyramid = Base area + 1/2 Perimeter * Slant length

Replacing with the real values, we have:

Area of a square pyramid = 6 * 6 + 1/2 (6 + 6 + 6 + 6) * 5

Area of a square pyramid = 36 + 1/2 (24) * 5

Area of a square pyramid = 36 + 12 * 5

Area of a square pyramid = 36 + 60

Area of a square pyramid = 96 feet ²

3. But remember than Mr. Chang doesn't need to replace the cloth at the bottom of the gazebo.

So we need to subtract the area of the base to the area of the square pyramid:

Area of the square pyramid - area of the base

Area of the base = 6 * 6 = 36 feet ²

96 feet ² - 36 feet ² = 60 feet ²

The correct answer is A. 60 square feet.

7 0

3 years ago

Read 2 more answers

Can you help me please? ( I didn't mean to pick a answer)

SpyIntel [72]

Answer:

#3:8n-4

Step-by-step explanation:

combine like terms

3n+n=4n

-7+5=-2

4n-2

multiply that by 2 to get the perimeter, which is 8n-4

8 0

3 years ago

Here are two expressions whose product is a new expression, :

Vera_Pavlovna [14]

Answer:

1. Fill in the box with 1

2. Fill in the box with -2

Step-by-step explanation:

Expression:

$(-2x^3 + [\ ]x)(x^{[\ ]}+1.5) = A$

Solving (1): Fill in the box to make it a polynomial.

To make it a polynomial, we simply fill in the box with a positive integer (say 1)

Fill in the box with 1

$(-2x^3 + [1]x)(x^{[1]}+1.5) = A$

Remove the square brackets

$(-2x^3 + x)(x^1+1.5) = A$

$(-2x^3 + x)(x+1.5) = A$

Open bracket

$-2x^4 - 3x^3 + x^2 + 1.5x = A$

Reorder

$A = -2x^4 - 3x^3 + x^2 + 1.5x$

The above expression is a polynomial.

This will work for any positive integer filled in the box

Solving (2): Fill in the box to make it not a polynomial.

The powers of a polynomial are greater than or equal to 0.

So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial

Fill in the box with -2

$(-2x^3 + [-2]x)(x^{[-2]}+1.5) = A$

Remove the square brackets

$(-2x^3 - 2x)(x^{-2}+1.5) = A$

Reorder

$A = (-2x^3 - 2x)(x^{-2}+1.5)$

Open brackets

$A = -2x-3x^3-2x^{-1}-3x$

Collect Like Terms

$A = -3x^3-2x-3x-2x^{-1}$

$A = -3x^3-5x-2x^{-1}$

Notice that the least power of x is -1.

Hence, this is not a polynomial.

3 0

3 years ago

What is the volume of the rectangular prism? Type the answer in the boxes below.

Wittaler [7]

Answer:

15 cm^3

Step-by-step explanation:

I think it's 15 because if you count, there are 30 boxes. Each box has a volume of 1/2, so you are supposed to multiply, which means 1/2x30.

1/2x30=15

I hope it's right!

8 0

2 years ago