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Lera25 [3.4K]
3 years ago
5

Find the ratio of m to n. 8n = 2m

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0
1:4
You can put 2 into 8 four times
ololo11 [35]3 years ago
7 0
8n = 2m 
Divide both by 2
4n = m
4:1
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Hugo recurved $100 for his birthday.He then saves 20$ per week until he had a total of $460 to buy a printer. Use a. Equation to
SashulF [63]

Answer:

18 weeks

Step-by-step explanation:

In this question, we are asked to use an equation to show the number of weeks it took Hugo who received a certain amount in his birthday and continually saved a certain amount before he could gather a certain amount of money.

In this question, we understand that Hugo wants to buy a printer that costs $460. Fortunately, he had his birthday and he received $100 bucks. Now, let’s say the number of weeks he had to save for is w and he saves 20 per week. This means the total amount he hit from his savings would be 20w

Mathematically, we can use the equation below to model this scenario;

100 + 20(w) = 460

20w = 460 - 100

20w = 360

w = 360/20

w = 18 weeks

3 0
3 years ago
A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon
melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.  

X~ Uniform(0,100)

Then the probability mass function is given as follows.

f(x) = P(X=x) = 1/100  \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0  \,\,\,\, \text{otherwise}

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located  70 meters away from city A then the mid point between 20 and 70  is (70+20)/2 = 45 then we can represent D as follows

D(x) =\left\{ \begin{array}{ll}  x  & \mbox{if } 0\leq x \leq 20 \\  x-20 & \mbox{if } 20\leq x < 45\\                70-x & \mbox{if } 45 \leq x \leq 70\\                x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable Y = D(X), Y is a random variable as well, remember that there is a theorem that says that

E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx

Where f(x) is the probability mass function of X. Using the information of our problem

E[Y] = \int\limits_{-\infty}^{\infty}  D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx  \bigg]\\= \frac{51}{4} = 12.75

3 0
3 years ago
Point C is on the segment AB which has endpoints A(-1, 0) and B(3, 8). Point C is three times as far from point A as it is from
Viefleur [7K]

Answer:

  C = (2, 6)

Step-by-step explanation:

The coordinates of point C can be found as the weighted average of the endpoint coordinates. The weights are the reverse of the relative segment lengths.

For AC : CB = 3 : 1, we have ...

  C = (A +3B)/(1+3) = ((-1, 0) +3(3, 8))/4 = (-1+9, 0+24)/4

  C = (2, 6)

8 0
3 years ago
2. On the snow day, 8 kids from the neighbor-
andre [41]

Answer: 30 buttons

Step-by-step explanation:

If there were 8 kids, and 7 more joined, then there were 15 kids making snowmen (8+7 = 15).  Each child used 2 buttons for the eyes, so 30 buttons were used (15 x2 = 30).  This is assuming no other buttons were used on the snowmen for anything else

5 0
2 years ago
State the range of the relation shown
Genrish500 [490]

Answer:  Choice A.  {-3,-1,0,1,2}

Explanation:  

The range is the list of y coordinates of each point.

4 0
2 years ago
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