Answer:
q = -1
Step-by-step explanation:
Solve for q:
15 - 3 (q - 4) = -5 (q - 7) - 10
-3 (q - 4) = 12 - 3 q:
12 - 3 q + 15 = -5 (q - 7) - 10
Grouping like terms, -3 q + 12 + 15 = (12 + 15) - 3 q:
(12 + 15) - 3 q = -5 (q - 7) - 10
12 + 15 = 27:
27 - 3 q = -5 (q - 7) - 10
-5 (q - 7) = 35 - 5 q:
27 - 3 q = 35 - 5 q - 10
Grouping like terms, -5 q - 10 + 35 = (35 - 10) - 5 q:
27 - 3 q = (35 - 10) - 5 q
35 - 10 = 25:
27 - 3 q = 25 - 5 q
Add 5 q to both sides:
5 q - 3 q + 27 = (5 q - 5 q) + 25
5 q - 5 q = 0:
5 q - 3 q + 27 = 25
5 q - 3 q = 2 q:
2 q + 27 = 25
Subtract 27 from both sides:
2 q + (27 - 27) = 25 - 27
27 - 27 = 0:
2 q = 25 - 27
25 - 27 = -2:
2 q = -2
Divide both sides of 2 q = -2 by 2:
(2 q)/2 = (-2)/2
2/2 = 1:
q = (-2)/2
The gcd of -2 and 2 is 2, so (-2)/2 = (2 (-1))/(2×1) = 2/2×-1 = -1:
Answer: q = -1
The region that covers 23 km^2 has population of 1380 people
Step-by-step explanation:
The population is calculated using population density by multiplying the population density with the area.
Here,
Population density = d = 60 people per kilometer^2
Area = a = 23 km^2
So,
The region that covers 23 km^2 has population of 1380 people
Keywords: Population, Density
Learn more about population at:
#LearnwithBrainly
Hope it cleared your doubt.
8. The percentage of salt in each mixture is 0.35%.
To find out the latter part of the problem, we can use algebra:
14 (grams of salt) = 0.35m (0.35% of the mixture)
14 ÷ 0.35 = 0.35m ÷ 0.35 (we want to find just m, so we have to divide it by 0.35)
40 = m. The scientist made 40 g of mixture!
9. We just divide 32.5 pounds by 0.25 ( a quarter).
32.5 ÷ 0.25 = 130 kids!
10. Her original distance is 0.5 miles. But! She walked back 0.25 (quarter) mile so now this adds a quarter of a mile of distance from her house to her school.
0.5 × 3 = 1.5 + 0.25 = 1.75 miles from her house to her school.
Answer:
Min: 0
Max: 0.125
Step-by-step explanation:
Min: 0
Max: 0.125
