Answer:
-1.8 =x
Step-by-step explanation:
12(x+3)=-8x
Distribute
12x +36 = -8x
Subtract 12x from each side
12x-12x +36 = -8x-12x
36 = -20x
Divide each side by -20
36/-20 = -20x/-20
-9/5 = x
Changing to decimal form
-1.8 =x
Answer:
true and the answer would be 45.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Both expressions are examples of the <em>distributive property</em>, which basically says "if I have <em>this </em>many groups of some size and <em>that</em> many groups of the same size, I've got <em>this </em>+ <em>that</em> groups of that size altogether."
To give an example, if I've got <em>3 groups of 5 </em>and <em>2 groups of 5</em>, I've got 3 + 2 = <em>5 groups of 5 </em>in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.
Mathematically, we'd capture that last example with the equation
. We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this: 
.
This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols: 
. When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as <em>3 groups of 5</em> and 10 is the same as <em>2 groups of 5</em>. Using the distributive property, we could write this as 
, so we can say that 
.
Answer:
- 9÷0.001 is greater than 8÷0.001.
- 7÷0.001 is less than 8÷0.001.
- 8÷0.002 lie between 8÷0.001 and 8÷110.
Step-by-step explanation:
- The division expression which is greater than 8÷0.001 is:
9÷0.001
Since, the numerator of the number 9÷0.001 is greater than 8÷0.001. and as their denominator is same.
so, the number whose numerator is greater than the other will result in the overall number to be greater.
- The division expression which is less than 8÷0.001 is 7÷0.001.
Since, for two numbers with same denominator the number whose numerator is smaller is smaller than the other.
- The division expression that lie between 8÷0.001 and 8÷110 is: 8÷0.002.
Since 8÷0.002 is greater than 8÷110, as for two numbers with same numerator but different denominator the number whose denominator is greater is a smaller number.
similarly 8÷0.002 is smaller than 8÷0.001.
Answer:
His estimate is somewhat low.
Step-by-step explanation:
The total bill is $9.50 +3.50 = $13.00. The estimated tip is 15% of $10, so Jamal needs to add 15% of $3, or $0.45, to his estimate to leave a tip equal to 15% of the bill.
The tip Jamal has calculated is about 11.5% of the bill. (1.50/13.00 ≈ 0.1154)
The tip Jamal wants to leave is $1.95. (0.15·13.00 = 1.95)
