Answer: He had 48.75 oz of salsa.
Step-by-step explanation:
I guess that Clay is filling 6.5 oz bottles of salsa.
And we know that he was able to fill 7.5 of these bottles, then if each bottle has 6.5 oz, 7.5 of them have a total mass of salsa will be equal to 7.5 times 6.5 ounces, this is:
M = 7.5*6.5 oz = 48.75 oz
This means that Clay had 48.75 ounces of Salsa
A drawn model to show this is seen below.
Each big square represents 0.5 oz, and the area black delimited area represents a total amount of 6.5 oz, we have 7 of them, then you can draw that 7 times, and count the squares, and then you will find the total ounces of salsa that Clay had, which is equivalent to the multiplication we did above.
Answer: -81x^2 + 16
Step-by-step explanation: Expand the polynomial using the FOIL method.
Answer:
44
Step-by-step explanation:
Plug in -7 for x. -7 SQUARED equals 49. 49-5=44, so the answer is 44.
Let
x--------> the length side of the rectangle
y--------> the width side of the rectangle
we know that
The perimeter of a rectangle is equal to
Substitute the values of x and y in the formula of perimeter
![P=2*[(4a + 96)/(a + 15)]+2*[(4a + 24)/(a + 15)]](https://tex.z-dn.net/?f=%20P%3D2%2A%5B%284a%20%2B%2096%29%2F%28a%20%2B%2015%29%5D%2B2%2A%5B%284a%20%2B%2024%29%2F%28a%20%2B%2015%29%5D%20)
![P=[(8a + 192)/(a + 15)]+[(8a + 48)/(a + 15)]](https://tex.z-dn.net/?f=%20P%3D%5B%288a%20%2B%20192%29%2F%28a%20%2B%2015%29%5D%2B%5B%288a%20%2B%2048%29%2F%28a%20%2B%2015%29%5D%20)
![P=[(16a + 240)/(a + 15)]](https://tex.z-dn.net/?f=%20P%3D%5B%2816a%20%2B%20240%29%2F%28a%20%2B%2015%29%5D%20)
![P=16*[(a + 15)/(a + 15)]](https://tex.z-dn.net/?f=%20P%3D16%2A%5B%28a%20%2B%2015%29%2F%28a%20%2B%2015%29%5D%20)
therefore
<u>the answer part a) is </u>
the total length of fencing material required would be 
Part b) Divide the perimeter by the width of the prebuilt fence sections
so
therefore
<u>the answer Part b) is </u>
Answer:
Current speed is 40mph
Step-by-step explanation:
We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.
Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.
In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have
Speed upstream = 8/t
Speed downstream = 24/t
Respectively.
Let speed of current be X, then
Speed downstream = 40 + X
Speed upstream = 40 – X
From the question we have:
(40 + x)/24 = (40 – X)/8
(40 + x)/3 = (40 – x)/1
3(40 – x) = 40 + X
120 – 3x = 40 – X
120 – 40 = 3x – X
2x = 80
X = 40.
Therefore, current speed is 40mph
