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Aloiza [94]
3 years ago
13

What is the value of x in the equation 2.5 (6x-4h=10 +4(1.5 + 0.5x)

Mathematics
1 answer:
Komok [63]3 years ago
3 0

Answer:

In this equation x is equal to h + 1

Step-by-step explanation:

To solve this, follow the order of operations for solving equations.

(6x-4h) = 10 + 4(1.5 + 0.5x) ----> Distribute the 4

(6x - 4h) = 10 - 6 + 2x ----> Simplify

6x - 4h = 4 + 2x ----> Subtract 4 from both sides

6x - 4h - 4 = 2x ----->Subtract 6x from both sides

-4h - 4 = -4x ----> Divide by -4

h + 1 = x

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5. Suppose a password requires three distinct letters. Find the number of permutations for the three letters in the code if the
Roman55 [17]

Answer:

There are 15600 ways to pick a password

Step-by-step explanation:

We have 26 possibilities to pick a letter. So, we have 26 possibilities for the first component of the password. The second letter should be different from the first one, so we have one less possibility, giving us a total of 25, and for the third letter we have 24.

This gives us 26*25*24 = 15600 ways of picking a password.

3 0
3 years ago
The volume of a rectangular prism is given by the product of its length, and height. Samantha has a rectangular prism that has a
Juli2301 [7.4K]

Answer:

V = a²b³ + acb² units³

Step-by-step explanation:

The volume of a rectangular prism is given by :

V = l×b×h

Here, l = b² units

b = aunits

h = ab+c units

So, the volume of the prism is given by :

V = b² × a × (ab+c)

= ab²(ab+c)

= a²b³ + acb²

Hence, the required volume is a²b³ + acb² units³.

3 0
3 years ago
The Becks buy a plastic tarp to cover their firewood. A rectangle that is eight and one-third yards long and six and three-fourt
Dmitriy789 [7]

Answer:

56 1/4 yards

Step-by-step explanation:

Area of the tarp = length × width

Length = 8 1/3 yards

Width = 6 3/4 yards

Area of the tarp = length × width

= 8 1/3 yards × 6 3/4 yards

= 25/3 × 27/4

= (25 * 27) / (3 * 4)

= 675 / 12

= 56 1/4 yards

Area of the tarp = 56 1/4 yards

3 0
3 years ago
The table below shows the survey results for six randomly selected lions from five different zoos.
blsea [12.9K]

Answer:

Correct option: fourth one

Step-by-step explanation:

We can see in the table that we have three variables: the gender of the lion, the number of offspring and the age in years.

From these three variables, the gender is a categorical variable, because it can only assume a finite number of values (in this case, 2 values: M or F)

The other two variables (no. of offspring and age) can theoretically assume an infinite number of values (any non-negative integer number).

So the correct option is the fourth one: three variables, and one of them is categorical.

4 0
3 years ago
Complete the recursive and explicit formulas for the geometric sequence.
pshichka [43]

Answer:

÷(-2)

Step-by-step explanation:

200÷(-2)=(-100)

-100÷(-2)=50

50÷(-2)=(-25)

6 0
3 years ago
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