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wariber [46]
2 years ago
10

Simplify 1/3(9a + b) - 1/2(4a + 2b).

Mathematics
1 answer:
MAVERICK [17]2 years ago
6 0
Use distributive property: a(b + c) = ab + ac

1/3(9a + b) - 1/2(4a + 2b) = 3a + 1/3b - 2a - b = a - 2/3b
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Terrence walks at a pace of 2mi/h to the theater and watches a movie for 2 h and 15 min. He rides back home, taking the same rou
Liono4ka [1.6K]

Answer:

The answer to your question is the theater is 6.7 mi from home

Step-by-step explanation:

Data

speed 1 = 2 mi/h

time in theater = 2h 15 min

speed 2 = 40 mi/h

time = 3.5 h

Process

1.- Write the formula to calculate speed

             speed = distance / time

-Solve for time

             time = speed x time

2.- Write and equation to solve this problem

      total time = time from home to theater + time from theater to home

3.- Substitution

      3.5 = d/2 + d/40

4.- Solve for d

      3.5 = (20d + d) / 40

      140 = 21d

      d = 140 / 21

      d = 6.7 mi

4 0
2 years ago
The coach of a local basketball team says that her team scored 32 points in the first game and 64 points in the second game. Wha
disa [49]

To find the percentage of a number out of another number you just divide.

64 is 200% of 32 because 64/32 is 2.

8 0
2 years ago
Read 2 more answers
The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t^2 - 0.5t + 3.
Bingel [31]
The average rate of change (m) is the ratio of the change in function value to the width of the interval:
  m = (f(6) - f(2))/(6 - 2)

To compute this, we need to compute f(6) and f(2).
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  f(2) = (0.25*2 - 0.5)*2 +3.5 = 3.5
Then the average rate of change is
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The average rate of change is 1.5 thousand owners per year.
3 0
2 years ago
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What is the discriminant of the quadratic equation 0 = 2x2 + 3x - 5?
ycow [4]

Answer:

0=4+3x-5 calculate

0=-1×3x move variable to the left

-3x=-1 divide both sides by -3

x=1 over 3

5 0
2 years ago
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At the start of the week, Monique’s savings account had a balance of $326. She made a $45 withdrawal each day for seven days. Du
sammy [17]

Answer:

Step-by-step explanation:

45 times 7= 315

326-315=11

125 times 2=250

250+11=261

so the answer is C. $261

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2 years ago
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