Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?
Answers
Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?
x = log 64 / log 4
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You must reverse the inequality sign when solving this inequality: x + 7 < 4True or false?
Answers
You can subtract the numbers in the parenthesis:
(3-11) = (-8)
Multiply the denominator to both sides so it cancels out and isolates the variable
-8 and -8 cancels out
k = 160
Quick check:
- 20 = - 20
Yes its right
the answer is: k =160
Linear equation: 1 /2 (x - 3) = 9
Bobby claims that Peter started with 21 cards. Which statements are true about verifying Bobby’s claim? Check all that apply.
1. Substitute 21 for x in the original equation.
2. Substitute any number for x in the original equation.
3. Bobby’s claim that x = 21 is correct.
4. The result of verifying Bobby’s work is 9 = 9.
5. The result of verifying Bobby’s work is 21 = 21.
Answers
Hi There!
Answer:
1. Substitute 21 for x in the original equation.
3. Bobby’s claim that x = 21 is correct.
4. The result of verifying Bobby’s work is 9 = 9.
Step-by-step explanation:
Linear Equation: 1/2 (x - 3) = 9
Bobby wants to substitute x for 21.
1/2 (21 - 3) = 9
1/2 (18) = 9
9 = 9
Bobby's claim is correct.
Hope This Helps :)
Answer:
1, 3, 4
Step-by-step explanation:
1. Substitute 21 for x in the original equation.
3. Bobby’s claim that x = 21 is correct.
4. The result of verifying Bobby’s work is 9 = 9.
Answers
Answers
Answer:
5 hours
Step-by-step explanation:
19+6=25 1
25+6=31 2
31+6=37 3
37+6=43 4
43+6=49 5
Answer:
5 hours
Step-by-step explanation:
49(total)-19(base charge) = 30(rented money needed). 6 times 5 = 30. So, Katie paid 5 hours. Kind of confusing but trust me. Hope this helps
Answers
The total pages in the book are 46.
What is equation?
An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Rosa read 10 pages of a book on Monday. She read 1/3 of the remainder on Tuesday, and she still had 24 pages to read,
Let the total number of pages be x,
Establishing the equation, we get,
10+(x-10) / 3+24 = x
30 + x - 10 + 72 = 3x
92 = 2x
x = 46
Hence, The total pages in the book are 46.
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Answer:
There are 46 pages in the book.
Step-by-step explanation:
if she already read 10 pages of the book and the remainder is split into 3rds and she already read 1/3 of the book then the 24 pages get divided by the 2/3 left which equals 12 so each third is 12 pages so 12 x 3 = 36 + 10= 46
There are 46 pages in the book.
What is the correct sequence of steps to solve Mrs. Blake’s equation?
A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.
Answers
Answer:
Option B: Subtract 4h from both sides. Subtract 5 from both sides.Divide each side by 2.
Step-by-step explanation:
So why option B?
When solving equations one of the best method is to bring like terms together to a side (LHS or RHS) of the equation.
What are liked terms? This are numbers or integers with similar structure. From the question the liked terms are 5 and 10, and 6h and 4h.
Going by the workflow described in option B we will see that the end game here was to bring liked terms together.
So lets carry out the workflow step by step:
- Subtract 4h from both sides: 6h + 5 -4h = 4h + 10 -4h => 2h + 5 = 10
- Subtract 5 from both sides: 2h + 5 -5 = 10 -5 => 2h = 5 (Victory!!! we have succeeded in briinging like terms to a side)
- Divide each side by 2: 2h/2 = 5/2 => h = 2.5
So for the Babysitters to charge the same amount they have to have worked for 2.5 hours (that is 2 hours 30 minutes)