Let's solve this question by step by step.
Layout equation.
−104=−8(k+8)
Step 1: Simplify both sides of the equation.
−104=−8(k+8)
−104=(−8)(k)+(−8)(8)(Distribute)
−104=−8k+−64
−104=−8k−64
Step 2: Flip the equation.
−8k−64=−104
Step 3: Add 64 to both sides.
−8k−64+64=−104+64
−8k=−40
Step 4: Divide both sides by -8.
-8k/-8=-40/-8
The answer for this problem is k=5.
Given:
The ratio of red and blue cubes is 4:7.
After adding 10 more red cubes the ratio of red and blue cubes is 6:7.
To find:
The number of blue cubes.
Solution:
The ratio of red and blue cubes is 4:7.
Let the number of red and blue cubes be 4x and 7x respectively.
After adding 10 more red cubes.
Number of red cubes = 4x+10
Then, the ratio of red and blue cubes is 6:7.





Divide both sides by 14.
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Now,
Number of blue cubes in the bag is
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Therefore, the number of blue cubes is 35.
Answer:
The answer is below.
Step-by-step explanation:
4x<-6-6
4x<-12
x= -3
Inequality form:
x< -3
Interval Notion:
(-8,-3)
Note: Turn the -8 on the sideways on the right, because its not 8.
Answer:
d = 4 miles
Step-by-step explanation:
combined speed = 7 + 9 = 16 mph
s = d/t
d = st
d = 16 miles/hr × 0.25 hr
d = 4 miles
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Answer:
B) n ≥ - 9 and n ≤ 1
Step-by-step explanation:
-3 <= n+6 <= 7
subtract 6 from all 3 sides
-3 -6 <= n+6 -6 <= 7-6
-9 <= n <= 1