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jek_recluse [69]
3 years ago
5

Colleen divided integer a by −6 and got 6. Then she divided 6 by integer b and got −3. Find the quotient of integer a and intege

r b.
a
b
Mathematics
1 answer:
jeka943 years ago
6 0
A / b = 2
Let me explain:
If a was divided by -6 and the quotient was 6, that means a must be a negative number. 6 x -6 = -36
In b was divided by 6 and the quotient was -3, b must be negative. -3 x 6 = -18
-36 / -18 = 2
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Solve the equation. Round to the nearest hundredth. Show work.
Burka [1]

Answer:

x=-0.75

Step-by-step explanation:

The given equation is

4^{-5x-7}=6^{2x-1}

We take logarithm of both sides to base 10.

\log(4^{-5x-7})=\log(6^{2x-1})

(-5x-7)\log(4)=(2x-1)\log(6)

We expand the brackets to get;

-5x\log(4)-7\log(4)=2x\log(6)-\log(6)

Group similar terms;

-7\log(4)+\log(6)=2x\log(6)+5x\log(4)

-7\log(4)+\log(6)=(2\log(6)+5\log(4))x

\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x

x=-0.752478

To the nearest hundredth.

x=-0.75

3 0
3 years ago
Given data set:
denpristay [2]

Answer:

see below

Step-by-step explanation:

6, 2, 7, 12, 6, 1, 7, 1, 9, 7, 8

First put the numbers in order from smallest to largest

1,1, 2,6,6,  7, 7, 7, 8, 9, 12

The mean is adding all the numbers and dividing by the number of numbers

( 1+1+ 2+6+6+  7+ 7+ 7+ 8+ 9+ 12 )/11

66/1 =6

The mean is 6

The median is the middle

There are 11 terms

11/5 = 5.5  so 6 is the middle number

1,1, 2,6,6,    7,      7, 7, 8, 9, 12

7 is the median

Mode is the most often

7 appears three times so it is the mode

6 0
3 years ago
87-(36.5-11.5)*(-3)+9 simplify using order of operations
OLga [1]
Remember PEMDAS 
Do parentheses, results in 25. So whats left is 87-25*(-3)+9
Then you multiply -25 by -3, answer is 75.        87+75+9
Add all of them up.                                                171
The answer is 171!
5 0
4 years ago
Read 2 more answers
Someone please Solve 3 (x - 1) = 6. Thank you
kramer
We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.

It is used like this: a(b + c) = ab + ac.

Use the distributive property on the left-hand side.

3(x - 1) = 6
3x - 3 = 6

Now we have an equation that is easier.

The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.

3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
                  And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
                So, I divided both sides by 3.

So, x is equal to 3.
3 0
3 years ago
Devisibility rules for 3, 6, and 9
fenix001 [56]

Answer:

<u>★</u><u> </u><u>Divisibility</u><u> </u><u>rule</u><u> </u><u>for</u><u> </u><u>3</u><u> </u><u>-</u>

If the sum of all the digits divisible by 3 then the number is divisible by 3.

Here, we take an example for better understanding -

<u>Example</u><u> </u><u>1</u><u> </u><u>-</u> 3525

Add up the digits - 3 + 5 + 2 + 5

→ 15

As, 15 is divisible by 3. So, 3525 is a factor of 3.

★<u> </u><u>Divisibility</u><u> rule</u><u> </u><u>for</u><u> </u><u>6</u><u> </u><u>-</u>

A number is to be divisible by 6 , if the number is also divisible by 2 and 3.

<u>Exampl</u><u>e</u><u> </u><u>2</u><u> </u><u>-</u> 132

Add up the digits = 1 + 3 + 2 = 6

As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.

★ <u>Divisibility</u><u> rule</u><u> for</u><u> </u><u>9</u><u> </u><u>-</u>

If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.

<u>Example</u><u> </u><u>3</u><u> </u><u>-</u> 1052

Add up the digits - 10 + 5 + 2 = 17

As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.

3 0
3 years ago
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