5b + 29 ≤ -25 is the translation of the phrase "the sum of a number times 5 and 29 is at most -25"
<h3>How to translate an English phrase into an algebraic equation?</h3>
Given the phrase in the question;
The sum of a number times 5 and 29 is at most -25.
First, we translate;
Let the unknown number represented by b.
- A number times 5 ⇒ b × 5 ⇒ 5b
- Sum ⇒ 5b + 29
- Inequality sign for at most -25 ⇒ less than or equal to ⇒ ≤ -25
Now we combine the terms;
5b + 29 ≤ -25
We can go and solve for the unknown number.
5b + 29 ≤ -25
Subtract 29 from both sides
5b + 29 - 29 ≤ -25 - 29
5b ≤ -25 - 29
5b ≤ -54
b ≤ -54/5
Therefore, the translation of the phrase is 5b + 29 ≤ -25.
Learn more about inequality here: brainly.com/question/20383699
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Answer:
<h3>n = -8</h3>
Step-by-step explanation:
For two lines to be parallel, they must have the same slope
Get the slope of each line
For L1;
m1 = -2-4/1-n
m1 = -6/1-n
For L2;
m2 = 5-3/1-4
m2 = 2/-3
m2 = -2/3
Since they have the same slope, m1 = m2
-6/1-n = -2/3
6/1-n = 2/3
Cross multiply
2(1-n) = 6(3)
2-2n = 18
-2n = 18 - 2
-2n = 16
n = -16/2
n = -8
Hence the value of n is -8
1. 1 5/8 / -1 3/5 = -25/24 = -1 1/24
2. -5 1/3 / 2 3/4 = 10/9 = -1 1/9
Answer:
Every point on a horizontal line has the same y-value. Use the y-value of the point to find the equation of the horizontal line.
y=4
Answer: 13
Step-by-step explanation:
