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Damm [24]
3 years ago
14

45.5 meters in 13 seconds show work

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
7 0
I am going to assume that you are looking for the speed of the object. So, knowing that the formula for speed is distance divided by time, we have the expression: 45.5/13. This would simplify to be 3.5 meters per second, or m/s. m/s also happens to be the "Scientific unit for speed!" Just a fun fact! If this answer was not clear, please feel free to ask! Happy home-working!
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erastova [34]
g=ca\\
a=\dfrac{g}{c}
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3 years ago
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A glass contains alcohol and water in the ratio 1:4. A second glass contains the same quantity of liquid, but this time the rati
AnnyKZ [126]

Answer:

3:7

Step-by-step explanation:

So to solve this problem, you have to understand what the ratio 1:4 and 2:3 means. The 1:4 ratio in the first equation means that for "each unit of alcohol" there is 4 of those units of water. So let's say I had 2 gallons of alcohol and mixed it with 8 gallons of water. This means for each gallon of alcohol, there is 4 gallons of water, or in other words a 1:4 ratio. This can be described as a percentage as well. For each 5 gallons there are 4 gallons of water, and 1 gallon of alcohol or <em>20%</em> is alcohol. So let's just say that x=alcohol and y=water, this means that: x+y=c  where c is the total amount in the glass. This means that: x=0.20c

Let's do the same thing to the second equation. the ratio means that for every 2 units of alcohol there are 3 units of water. This means for every 5 gallons of the mixture there is 2 units of alcohol which is 40%. In this case let's also say that j=alcohol and k=water. This means that: j+k=c and that: j=0.40c.

So if we're going to add the two glasses, we simply add the two sides, and get: j+x+k+y=2c. Now remember how can can express j and x in terms of c, since it's a certain percentage of c (the entire thing). This means that we get: (0.4c+0.2c)+x+k=2c Now we can add like terms to get the equation: 0.6c+y+k=2c. We can find how much 0.6c is to 2c by dividing the 2, in doing so we get that 0.6c/2c = 0.3, or in other words the 0.6c is only 30% of the final mixture, and since the 0.6c represents the alcohol in this mixture, that means that's the percentage of alcohol. To write this as a ratio, this means for every 3 units of alcohol, there is 7 units of water, because 3/10 = 30%.

3 0
2 years ago
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Julli [10]

Answer:

1 1/2 miles

Step-by-step explanation:

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5 0
3 years ago
The equations 8x +4y = 32 and 16x +12y = 72 represent the cost for lunch and dinner for a family eating out on vacation. If x is
Nookie1986 [14]

Answer:

There are 3 adults in the family.

Step-by-step explanation:

The equations 8x + 4y = 32 and 16x + 12y = 72 represent the cost of lunch and dinner for a family in which x is the number of adults and y is the number of children.

We have to find the number of adults or the value of x by solving these equations.

equations are 8x + 4y = 32 -------(1)

16x + 12y = 72 --------(2)

Now we will multiply equation 1 by 3 and subtract it by equation 2.

(16x + 12y) -3(8x + 4y) = 72 - 96

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Therefore, there are 3 adults in the family.

8 0
3 years ago
Evaluate the functionf(-x) = f(x) plug in the points (2,1) then solve
jarptica [38.1K]

Problem

evaluate the function

f(-x) = f(x)

plug in the points (2,1) then solve

Solution

For this case we can conclude that:

f(2) =1

So then we satisfy that:

f(-2) =1

6 0
1 year ago
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