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9966 [12]
3 years ago
9

Six times a number is greater than 20 more than that number. What are the possible values of that number?

Mathematics
1 answer:
Mariana [72]3 years ago
8 0
X > 4

Suppose that x is some number so 6 times a number is 6*x. 20 more than that number is 20 + x. If you put it together the inequality would be 6x > 20 + x. Subtracting x from both sides would result in 5x > 20. Dividing by 5 gives you x > 4 which is the final answer. So the possible values of that number is anything greater than 4.
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A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang
Ksju [112]

Answer:

x^3+x^2-5x+28

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

1. distribute parentheses \left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4

2. apply +(-a)=-a rule x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4

3. Simplify

    Steps to simplify:

x^2x=x^3

3xx=3x^2

3\cdot \:4x=12x

7\cdot \:4=28

x^3+4x^2-3x^2-12x+7x+28

4. Add like terms =x^3+4x^2-3x^2-5x+28

5. Add like terms =x^3+x^2-5x+28

6 0
3 years ago
The rectangular prism shown has a volume of 10 cubic centimeters, = 1 cm3 Choose all the rectangular prisms that also have a vol
SOVA2 [1]

Answer:

B and C

Step-by-step explanation:

We are given a rectangular prism that consists of 10 cubes. Each cube = 1 cm³. The volume of rectangular prism given = 10cm³.

Let's find out which of the options has same volume (10cm³) as that of the given rectangular prism.

Option A has 15 cubes = 15 cm³ in volume

Option B has 10 cubes = 10 cm³ in volume

Option C has 10 cubes also = 10 cm³ in volume

Option D has 12 cubes = 12 cm³

The rectangular prisms that have the same volume (10 cm³) with the given rectangular prism are option B and C.

4 0
3 years ago
Which of the following shows the number of time 3 1/5 fits into 10 1/2
ollegr [7]
The answer is 0.304762
7 0
4 years ago
Read 2 more answers
Write the ordered pairs for the original shape and the transformation
Vadim26 [7]
For the solid line it is (0,-3), (0,3), (-3,4)
for the dotted line it is (-1,-1), (-3,-2), (-3,2)
hope this helps don't know for sure though if its right i just did the best i could do.
4 0
3 years ago
What is the solution for this system of equations y = x - 4 Y = -x + 6
lana66690 [7]

Our system of equations is:

y = x - 4

y = -x + 6


We can solve this system of equations by substitution. We already have one equation solved for the variable y in terms of x, so we can substitute in this equivalent value for y into the second equation as follows:


y = -x + 6

x - 4 = -x + 6


To simplify this equation, we first are going to add x to both sides of the equation.


2x - 4 = 6


Next, we are going to add 4 to both sides of the equation to separate the variable and constant terms.


2x = 10


Finally, we must divide both sides by 2, to get the variable x completely alone.


x = 5


To solve for the variable y, we can plug in our solved value for x into one of the original equations and simplify.


y = x - 4

y = 5 - 4

y = 1


Therefore, your final answer is x = 5 and y = 1, or as an ordered pair (5,1).


Hope this helps!

3 0
4 years ago
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