We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
Answer:
$3.90
Step-by-step explanation:
78 cents/lb * 5 lb = (78*5) cents = 390 cents (the pound labels divide out)
But 390 cents = $3.90
Answer: 176
Step-by-step explanation:
To evaluate the equation we have to remove the parentheses and add 15 + 17...
1/2 (11)(15 + 17) =
= 11 * 32 * 1/2
Now, we have to turn it into a fraction and multiply it...
= 
352 ÷ 2 = 176
I hope this helps!
Answer:
1534 pudding cups
Step-by-step explanation:
The volume of the tub with dimensions 5 ft × 5 ft × 2.5 inches is ...
(5×12 in)×(5×12 in)×(2.5 in) = 9000 in³
The volume of 3.25 fluid ounces is (231/128)×3.25 in³, so the number of pudding cups required to fill the "hot tub" is ...
(9000 in³)/(231/128×3.25 in³) ≈ 1534.47 . . . pudding cups
_____
If the tub is 2.5 ft deep, not 2.5 inches, then the number of pudding cups required is 12 times this amount, or ...
12×1534.47 ≈ 18,413.59 ≈ 18,414 . . . pudding cups
This is because the tub volume is not 9000 in³, but is 12 times that amount, or 108,000 in³.
Okay, after I explain the process of finding the answer to this, it will be easier for you! First, you shold understand the key words to math. In this question, fewer is the key word. And fewer means less, so subtraction. Every new row has 2 FEWER tiles than the row below it. So we now to to subtract 2 from EVERY NEW row. So, if the first row has 23 tiles how many tiles will be in the next row. Well, all we have to do is 23 - 2 = 21! There is your answer, I hope I am correct!
(It is your choice to go with my answer being correct or not. I absolutely WILL NOT, and CAN NOT take responsibility for your question being incorrect. Again, it is YOUR choice to choose whether or not you go with my answer. Thank you!) :)
