Answer:
25
Step-by-step explanation:
Step 1: 350:14
Step 2: 175:7
Step 3: 7/7= 1
Step 4: 175/7=25
350:14=25:1
The car will run 25 miles for each gallon of gas
Answer:
4 weeks= $57
45+3(4)
45+12=57
10 weeks= $75
45+3(10)
45+30=75
15 weeks= $90
45+3(15)
45+45=90
20 weeks=$105
No there is not enough money because you are $20 short after 20 weeks. You need to wait 7 more weeks
X-3/8=3/6
Add 3/8 to both sides, to leave the variable alone
X= 3/6-3/8
Use common denominators-8 (3/6 is 1/2)
X= 4/8-3/8
X=1/8
Answer: 4.2
Step-by-step explanation:
Answer:
FALSE
TRUE
TRUE
Step-by-step explanation:
Here, let us first state the logarithmic rules.

Now, here the given expressions are:

The given statement is FALSE as:

![2. \frac{2}{3} (ln(a) +ln(b)) = ln(\sqrt[3]{a^2b^2} )](https://tex.z-dn.net/?f=2.%20%5Cfrac%7B2%7D%7B3%7D%20%28ln%28a%29%20%2Bln%28b%29%29%20%3D%20%20ln%28%5Csqrt%5B3%5D%7Ba%5E2b%5E2%7D%20%29)
![\frac{2}{3} (ln(a) +ln(b)) = \frac{2}{3} ln(ab) = ln(ab) ^\frac{2}{3} \\= ln(\sqrt[3]{a^2b^2} )\\\implies\frac{2}{3} (ln(a) +ln(b)) = ln(\sqrt[3]{a^2b^2} )](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%28ln%28a%29%20%2Bln%28b%29%29%20%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20ln%28ab%29%20%20%20%3D%20%20ln%28ab%29%20%5E%5Cfrac%7B2%7D%7B3%7D%20%20%5C%5C%3D%20ln%28%5Csqrt%5B3%5D%7Ba%5E2b%5E2%7D%20%29%5C%5C%5Cimplies%5Cfrac%7B2%7D%7B3%7D%20%28ln%28a%29%20%2Bln%28b%29%29%20%3D%20%20ln%28%5Csqrt%5B3%5D%7Ba%5E2b%5E2%7D%20%29)
The given statement is TRUE .

The given statement is TRUE as:
