Answer:
$7.00
Step-by-step explanation:
![2.10 \div 6 = 0.35](https://tex.z-dn.net/?f=2.10%20%5Cdiv%206%20%3D%200.35)
4a) 1 oz of coffee is equal to 0.35c, which is consistent with everything in the table.
4b)Knowing this, if we have 20 oz of coffee, and we multiply it by 0.35, we will get how much it costs for this cup.
20*0.35 = 7.00
Hope this makes sense and feel free to ask questions!
We will find the answer using the second law of motion i.e. Force is equal to the product of mass and acceleration.
![\sf \: F=ma](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%20F%3Dma)
Where,
- F is force
- M is mass
- A is acceleration
In our case,
Let's solve for M ~
![\tt \: 32 = m \times 0.88](https://tex.z-dn.net/?f=%20%5Ctt%20%5C%3A%2032%20%3D%20m%20%5Ctimes%200.88)
![\tt \: 32 = 0.88m](https://tex.z-dn.net/?f=%20%5Ctt%20%5C%3A%2032%20%3D%200.88m)
![\tt \: 0.88m = 32](https://tex.z-dn.net/?f=%20%5Ctt%20%5C%3A%200.88m%20%3D%2032)
![\tt \: m = 36.36](https://tex.z-dn.net/?f=%20%5Ctt%20%5C%3A%20m%20%3D%2036.36)
<em>Thus, The mass of object is 36.36 </em><em>grams</em><em>.</em><em>.</em><em>.</em><em>~</em>
Answer:
x = -3
Step-by-step explanation:
![y\geq -\frac{2}{3} x-3\\ y\leq 3x+8](https://tex.z-dn.net/?f=y%5Cgeq%20-%5Cfrac%7B2%7D%7B3%7D%20x-3%5C%5C%0Ay%5Cleq%203x%2B8)
![-\frac{2}{3} x-3=3x+8](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B3%7D%20x-3%3D3x%2B8)
Add 2/3 x to both sides: ![-3=\frac{11}{3}x+8](https://tex.z-dn.net/?f=-3%3D%5Cfrac%7B11%7D%7B3%7Dx%2B8)
Subtract 8 from both sides: ![-11=\frac{11}{3}x](https://tex.z-dn.net/?f=-11%3D%5Cfrac%7B11%7D%7B3%7Dx)
Multiply both sides by 3: ![-33=11x](https://tex.z-dn.net/?f=-33%3D11x)
Divide both sides by 11: ![x=-3](https://tex.z-dn.net/?f=x%3D-3)
Therefore, point of intersection between both lines is at point (-3, -1)
Answer:
Step-by-step explanation:
<u>Plug in x = -4 and find the value:</u>
- f(-4) = 3*(-4)² - 7(-4) - 32
- f(-4) = 48 + 28 - 32
- f(-4) = 44
Answer:
25.04
Step-by-step explanation:
26.12-1.08
=25.04