2x – 10 = 1/2(x – 8)

Mathematics

2 answers:

slava [35]3 years ago

8 0

Answer:

X= 4

Step-by-step explanation:

alukav5142 [94]3 years ago

5 0

Answer: x=4

Simplify 1/2(x-8) to x-8/2

Multiply both sides by 2

Add 20 to both sides

Simplify x-8+20 to x+12

Subtract x from both sides

Simplify 4x-x to 3x

Divide both sides by 3

Simplify 12/3 to 4

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PLZ HELP SOON

Elanso [62]

13/8 = 1 5/8

Since 13/8 = 1 5/8, A and B cannot be correct.

5/8 > 1/2

Since 5/8 > 1/2, 13/8 is closer to 2 than to 1. Therefore, the answer is D. closer to 2 than to 1.

7 0

2 years ago

A sample of lake water contains 150grams of salt. If 30% of the water sample is salt, find the number of grams the entire sample

hjlf

Answer:

500 grams

Step-by-step explanation:

Let's say that the total number of grams of the sample is x. We know that 30% of x is salt and we also know this quantity is 150 grams. So, we can write this as:

30% * x = 150

Remember that % is simply "out of 100", so 30% = 30/100 = 0.30. Then:

0.30 * x = 150

Divide both sides by 0.30:

x = 500 grams

Hope this helps!

5 0

3 years ago

Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the

Roman55 [17]

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

$n = 9$ i.e. the length of each security numbers

$r = 2$ i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

$Total = 2^9$

$Total = 512$

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where $n>m$ , then there is at least one container that contains more than 1 item.