First I would simplify each side in order to determine the symbol.
2 × 18 - 18 ? 2 × [28 - 3(2 +4)] I will simplify the left side first. Multiply 2 and 18
36 - 18 ? 2 × [28 - 3(2+4)]
18 ? 2 × [28 - 3(2 + 4)] Now simplify the right side. Add 2 and 4
18 ? 2 × [28 - 3(6)] Next multiply 3 and 6
18 ? 2 × [28 - 18]
18 ? 2 × 10
18 ? 20
18 < 20 Your answer is C because 18 is less than 20
First find the value of the give expression
2(a + 6) Since a = 2, plug in 2 for a
2(2 + 6)
<u>2(8) = 16</u>
A.) 2a + a² Plug in 2 for a
2(2) + (2)²
4 + 4 = 8
B.) 4a + 8 Plug in 2 for a
4(2) + 8
8 + 8 = 16
Neither A or B have a value greater than the given expression
Answer:
y+20/5
Step-by-step explanation:
Answer:
a)![e^{3}e^{4}=e^{7}](https://tex.z-dn.net/?f=e%5E%7B3%7De%5E%7B4%7D%3De%5E%7B7%7D)
b) ![(e^{3})^{4}=e^{12}](https://tex.z-dn.net/?f=%28e%5E%7B3%7D%29%5E%7B4%7D%3De%5E%7B12%7D)
c) ![(e^{3})^{-2}=e^{-6}](https://tex.z-dn.net/?f=%28e%5E%7B3%7D%29%5E%7B-2%7D%3De%5E%7B-6%7D)
d) ![e^{0}=1](https://tex.z-dn.net/?f=e%5E%7B0%7D%3D1)
Step-by-step explanation:
a) Here we can use the product of powers rule: ![x^{a}x^{b}=x^{a+b}](https://tex.z-dn.net/?f=x%5E%7Ba%7Dx%5E%7Bb%7D%3Dx%5E%7Ba%2Bb%7D)
![e^{3}e^{4}=e^{7}](https://tex.z-dn.net/?f=e%5E%7B3%7De%5E%7B4%7D%3De%5E%7B7%7D)
b) In this ca we use power of a power rule:
.
![(e^{3})^{4}=e^{12}](https://tex.z-dn.net/?f=%28e%5E%7B3%7D%29%5E%7B4%7D%3De%5E%7B12%7D)
c) We use the same rule above.
![(e^{3})^{-2}=e^{-6}](https://tex.z-dn.net/?f=%28e%5E%7B3%7D%29%5E%7B-2%7D%3De%5E%7B-6%7D)
d) Finally, we can use zero exponent rule:
.
![e^{0}=1](https://tex.z-dn.net/?f=e%5E%7B0%7D%3D1)
I hope it helps!
Answer: vinegar: 30 mL
Italian dressing: 290 mL
Step-by-step explanation:
100% vinegar + 4% Italian dressing
He wants 320 mL of mix with 13% vinegar → 320*0.13 = 41.6 mL
So, the mixture must have 41.6 mL of vinegar and 278.4 mL of other ingredients of the Italian Dressing (-vinegar). This way:
Let's call Italian dressing x and vinegar y:
4%x + 100%y = 41.6
96%x = 278.4
0.96x = 278.4
x = 278.4/0.96
x = 290
So, 290 mL of Italian dressing.
As he wants 320 of mixture, 320 - 290 = 30 mL of vinegar.
Italian dressing: 290 mL (11.6 mL vinegar)
100% Vinegar: 30 mL
Vinegar = 30 + 11.6 = 41.6 mL
320.13% = 41.6 mL (ok)