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3 years ago

Which expressions are equavilent to 5^x

1 answer:

8 0

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Solve the inequality 5x+2 < 32

AnnyKZ [126]

Answer:

x<6

Step-by-step explanation:

First, let's work on the left hand side of your inequality, the 5x+2

This means, for instance, to see if it can be simplified at all.

Multiply x and 5

Multiply x and 1

The x just gets copied along.

The answer is x

5*x evaluates to 5x

5*x+2 evaluates to 5x+2

So, all-in-all, the left hand side of your inequality can be written as: 5x+2

Now, let's work on the right hand side of your inequality, the 32

The right hand side of your inequality can be written as: 32

So with these (any) simplifications, the inequality we'll set out to solve is:

5x+2 ‹ 32

Move the 2 to the right hand side by subtracting 2 from both sides, like this:

From the left hand side:

2 - 2 = 0

The answer is 5x

From the right hand side:

32 - 2 = 30

The answer is 30

Now, the inequality reads:

5x ‹ 30

To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)

around the x on the left side of the inequality.

The last step is to divide both sides of the inequality by 5 like this:

To divide x by 1

The x just gets copied along in the numerator.

The answer is x

5x ÷ 5 = x

30 ÷ 5 = 6

The solution to your inequality is:

x ‹ 6

8 0

3 years ago

Read 2 more answers

A bag contains purple marbles and red marbles, 34 in total. The number of purple marbles is 2 more than 3 times the number of re

Irina-Kira [14]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :

Let red marbles = x,

$purple = 2 + 3x$

$red = x$

Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :

$2 + 3x + x = 34$

$4x = 32$

$x = 32 \div 4$

$x = 8$

Lastly, you have to substitute the value of x into the expression of purple marbles :

Let x = 8,

$purpe = 2 + 3(8)$

$purple = 26$

7 0

3 years ago

What is the median of the followng set of number 1,6,8 and 10

erastova [34]

The answer is 2.5

Step-by-step explanation:

Formula = (N + 1 / 2th) term

So,

Total numbers (N) = 4

Now,

(N + 1 / 2th) term

= (4 + 1 / 2th) term

= (5 / 2th) term

= (2.5th) term

If you like it plz make me brainliest

3 0

3 years ago

Can someone please help me with these questions?

tensa zangetsu [6.8K]

Answer:

c and a i think

Step-by-step explanation:

7 0

3 years ago

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si

Phantasy [73]

x + y = 24 where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24.
x^2 + z^2 = 13^2
y^2 + z^2 = 20^2 where z = 0.5 * length of smaller diagonal)

form last 2 equations

y^2 - x^2 = 20^2 - 13^2 = 231
now y = 24-x so we have

(24 - x)^2 - x^2 = 231

576 - 48x = 231

48x = 345

x = 7.1875

z^2 = 13^2 - 7.1875^2 = 117.34
z = 1.83

so smaller diagonal = 21.66 cm

looks like its the third choice.

5 0

3 years ago