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3 years ago

6- 4(2r - 5) < 26 - 8r This is algebra

Mathematics

1 answer:

RSB [31]3 years ago

4 0

Answer:

r>1

Step-by-step explanation:

6-4(2r-5)<26-8r do () first

6-8r+20<26-8r subtract 6 from both sides

-8r+20<20-8r Since this is the same on both sides, r>1 to make the equation not come out as 0

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I need help with number 12

fomenos

Ok so when the divisor get larger, the quotient gets smaller.
For example, 15 ÷ 3 = 5. If we make the divisor larger, you can see the quotient get smaller. 15 ÷ 5 = 3.
The same thing goes for the other way around. If the divisor gets smaller, the quotient gets larger. Hope I helped!

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3 years ago

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3 years ago

How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4

Blababa [14]

Answer:

digits used once: 12
repeated digits: 128

Step-by-step explanation:

In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:

the ones digit is an even multiple of 2, and the tens digit is even
the ones digit is an odd multiple of 2, and the tens digit is odd.

We must count the ways these conditions can be met with the given digits.

Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.

<h3>digits used once</h3>

If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.

<h3>repeated digits</h3>

Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.

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2 years ago

Read 2 more answers

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$