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juin [17]
2 years ago
15

Train A moves every 2 minutes, Train B moves

Mathematics
1 answer:
horrorfan [7]2 years ago
6 0

Answer:

in 84 minutes or 1 hr, 24 min

Step-by-step explanation:

you need to find the least common multiple of 2, 3 and 28 which is 84

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If you have 1-cup servings of juice to 30 people, how many whole gallons of juice will you need?
Ratling [72]

Answer:

2 gallons

Step-by-step explanation:

there are 16 cups in a gallon. if you have 30 cups for people, do 30/16=1.875 which you cant have 0.875 gallons of juice, so you need to round it to two gallons.

3 0
3 years ago
Read 2 more answers
Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int
melisa1 [442]

Answer:

Vertex form: f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

The vertex is (-\frac{7}{2},-\frac{53}{4})

Step-by-step explanation:

For a general quadratic function the form is:

ax ^ 2 + bx + c

For the function

f(x) = x ^ 2+ 7x -1

The values of the coefficients for the function are the following: a = 1, b =7, c = -1

Take the value of b and divide it by 2. Then, the result obtained squares it.

\frac{b}{2}= \frac{7}{2}

(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}

Add and subtract \frac{49}{4}

f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1

Write the expression of the form

f(x) = (x+\frac{b}{2})^2 +k

f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

The vertex is (-\frac{7}{2},-\frac{53}{4})

6 0
3 years ago
Someone plz help! thx
timurjin [86]
Convert each mixed number to an improper fraction

--------------------------------------------
Convert 6&1/2 to an improper fraction

6&1/2 = (6*2+1)/2
6&1/2 = (12+1)/2
6&1/2 = 13/2
--------------------------------------------
Do the same for 9&1/4

9&1/4 = (9*4+1)/4
9&1/4 = (36+1)/4
9&1/4 = 37/4
--------------------------------------------
Now multiply the improper fractions 13/2 and 37/4. Multiply straight across

(13/2)*(37/4) = (13*37)/(2*4)
(13/2)*(37/4) = 481/8
--------------------------------------------
The last step is to use long division to find the mixed number equivalent of 481/8

Or we an say 
60*8 = 480
So 60*8+1 = 480+1
which means 
481/8 = (480+1)/8 = 480/8+1/8 = 60&1/8

Making the final answer to be choice C

Another way to get the answer is to convert 481/8 into a decimal to get 60.125 and then convert that back to a mixed number. You should get 60&1/8
6 0
3 years ago
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the sit
Rasek [7]

Answer:

If Ted can clear a football field of debris in 3 hours, in one hour they will have cleared 1/3 of it.

If Jacob can clear a football field of debris in 2 hours, in one hour they will have cleared 1/2 of it.

So if they work together, they will clear 1/2 + 1/3, which is 5/6, in one hour.

So the equation we get is 5/6*x = 1 and if we divide both sides by 5/6 we get that x = 1.2 hours

6 0
2 years ago
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In a class of 32 the ratio of number of boys to the number of girls in 5/3 Determine how many boys are there in the class.​
qaws [65]

Answer: 20

Step-by-step explanation: there are 20 boys

4 0
2 years ago
Read 2 more answers
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