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Dmitry_Shevchenko [17]
2 years ago
11

Which graph is the linear function that has a slope of 1/3 and contains the point (- 2, - 4) ?

Mathematics
1 answer:
Vlad1618 [11]2 years ago
6 0

Answer:

Option 1 (The last one, bottom right)

Step-by-step explanation:

If you start at the origin and go 2 to the left and 4 down, you will reach a point. We can test the slope by using rise over run from one point to another. It goes up 1 and three across which is true in this case.

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Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winnin
xenn [34]

Answer:

<h3>100 tickets</h3>

Step-by-step explanation:

Probability of winning = amount of tickets purchased/Total number of tickets

20% = 20/total number of tickets

20/100 = 20/total number of tickets

cross multiply

20 * total number of tickets = 20 * 100

20 *  total number of tickets = 100

total number of tickets sold = 100 tickets

6 0
3 years ago
Read 2 more answers
Find the value of x such that 365 based seven + 43 based x = 217 based 10.
Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

194+4x+3=217

so, we can solve this equation for x. By combining similar terms. we have

197+4x=217

and by moving 197 to the right hand side, we obtain

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

8 0
11 months ago
What is 58,413,000,000 in scientific notations
blagie [28]

Answer:

5.8413 × 10^10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Question 1 (Essay Worth 10 points)
il63 [147K]

Answer:

Part A. x = 1/26 Part B. x = 1/50

Step-by-step explanation:

Solve for x:

26 x = 1

Divide both sides by 26:

Answer:  x = 1/26

___________________

Solve for x:

50 x = 1

Divide both sides by 50:

Answer:  x = 1/50

8 0
3 years ago
Find the perimeter of a square that is 3 3/4 inches on a side. 7 inches 15 inches 12 inches 30 inches
RoseWind [281]

Answer:

  15 inches

Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of its sides. A square has 4 sides, all the same length. We can either add up the side lengths, or we can recognize that multiplication of one side's length by 4 is a useful alternative.

  perimeter = 4 × (3 3/4 in)

  = (4×3 +4×3/4) in

  = 12 in + 3 in = 15 in

4 0
3 years ago
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