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Tatiana [17]
2 years ago
6

When you form general ideas and rules based on your experience and observation you call that form of reasoning

Mathematics
1 answer:
KiRa [710]2 years ago
3 0
The answer is A. Induction
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What is the solution to 4x-14+3x=161
Pachacha [2.7K]

Answer:

x = 175/7

Step-by-step explanation:

Combining the like terms in 4x-14+3x=161, we get

7x = 175, and so:

x = 175/7

6 0
3 years ago
Your class is taking a trip to a museum that is 190 miles away. The bus can travel at 55 miles per hour. At least how many hours
Fofino [41]

Answer:

3 hours and 45 minutes

Step-by-step explanation:

190/55=3.4545

8 0
2 years ago
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi
AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

3 0
3 years ago
Which number is opposite of -5 in both its value and direction it lies on a number line?
ASHA 777 [7]

Answer:

The opposite of - 5 would be 5

Step-by-step explanation:

Because opposite number only means a number with an oposite sign

6 0
2 years ago
The student council set a goal of raising at least $500 in flower sales. So far it has raised $415.
zzz [600]
Hi There!

Ok, so student council needs 500 dollars from flower sale, and they already have 415, To find how much they need you have to subtract 500-415, your final answer should be 85, so the student council needs $85 dollars more to reach their goal.

Hope This Helps :)
6 0
2 years ago
Read 2 more answers
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