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marshall27 [118]
2 years ago
13

Subtract (5x + 3) from (9x – 7).

Mathematics
2 answers:
IceJOKER [234]2 years ago
6 0

Answer:

4x - 11

Step-by-step explanation:

Set the expression.

  9x - 7

- (5x + 3)

-------------

First, distribute -1 to all terms within the parenthesis:

-(5x + 3) = -5x - 3

Simplify. Combine like terms.

(9x - 7) + (-5x - 3) = 9x - 5x + (-7) - 3

(9x - 5x) + (-7 - 3)

4x - 11

4x - 11 is your answer.

Dafna1 [17]2 years ago
5 0

Answer:

\large\boxed{4x-10}

Step-by-step explanation:

(9x-7)-(5x+3)\\\\=9x-7-5x-3\qquad\text{combine like terms}\\\\=(9x-5x)+(-7-3)\\\\=4x-10

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Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t
jeka57 [31]

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18  (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.

Hence, we would advise her to choose Country route.

7 0
2 years ago
Mrs. Epps buys 500 bags of balloons for the high school prom for $250. What is the cost per bag?
Andrej [43]
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7 0
2 years ago
Monica has a bag of marbles. There are 4 red marbles and 7 blue marbles and 5 yellow marbles in a bag. Monica will randomly pick
natima [27]

Answer:

\frac{7}{64}\approx 0.11

Step-by-step explanation:

We have been given that there are 4 red marbles and 7 blue marbles and 5 yellow marbles in a bag. Monica will randomly pick two marbles out of the bag replacing the first marble before picking the second marble.

Since Monica will replace the first marble before picking the second marble, therefore, probability of both events will be independent and probability of occurring one event will not affect the probability of second event's occurring.          

Since the probability of two independent compound events is always the product of probabilities of both events.

P(\text{A and B})=P(A)*P(B)

Now let us find probability of picking a red marble out of 16 (4+7+5) marbles.

P(Red)=\frac{\text{Total red marbles}}{\text{Total marbles}}

P(Red)=\frac{4}{16}

Probability of picking blue ball out of 16 (4+7+5) marbles:

P(Blue)=\frac{\text{Total blue marbles}}{\text{Total marbles}}

P(Blue)=\frac{7}{16}

Now let us find probability of Monica picking a red and then a blue marble.

P(\text{Red and Blue})=\frac{4}{16}\times \frac{7}{16}

P(\text{Red and Blue})=\frac{1}{4}\times \frac{7}{16}

P(\text{Red and Blue})=\frac{7}{4*16}

P(\text{Red and Blue})=\frac{7}{64}

P(\text{Red and Blue})=0.109375\approx 0.11

Therefore, the probability of picking a red and then blue marble is \frac{7}{64}\approx 0.11.  

7 0
2 years ago
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sleet_krkn [62]

Answer:

2030

Step-by-step explanation:

the graph starts to decline 16 years after 2014 so 2014 + 16 = 2030

7 0
2 years ago
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