2^7b = 2^5
Now you have like bases. This means that you can set the exponents equal , meaning 7b= 5. B =5\7
Answer:
<em>I misunderstood the question before, but here are two expressions equivalent to -4/7 - 8/9 + 4/7 - 9/8. </em>
71/72 + 70/72 +4/72
-1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8
<em>Solved: -2 1/72</em>
Step-by-step explanation:
I could simply take the answer you get when combining all of the fractions, and I can make a new expression out of it. For example, I could use: 71/72+ 70/72+4/72. Or I could break apart all of the original fractions into smaller fractions. Example: -1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8.
<em>To solve: Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.</em>
<em>Hope this helps!</em>
Answer:
height = 78 yd
Step-by-step explanation:
<u>Formula</u>
Volume of a rectangular prism = width × length × height
Given:
- volume = 4,212 yd³
- width = 2 yd
- length = 27 yd
Substituting given values into the formula and solving for height:
⇒ 4212 = 2 × 27 × height
⇒ 4212 = 54 × height
⇒ height = 4212 ÷ 54
⇒ height = 78 yd
In this problem, we have the following variables:
e: The weekly earnings of a salesperson
s: sales in a given week
A salesperson earns $200 a week plus a 4% commission on her sales, that is, she earns:
<em>$200 plus 0.04 of her sales in a given week</em>
In a mathematical model, this is given by:
e = 200 + 0.04s
Answer:
So the expression in standard form will be 
Step-by-step explanation:
We have given expression 
We have to write this expression in standard form
For writing in standard form first we have to multiply the expression
So after multiplication number 
So the expression in standard form will be
