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alekssr [168]
3 years ago
14

Q.1 The park's sprinklers can spray 1,748 gallons of water on the grass in 38 minutes. How many gallons can they spray in one mi

nute?
Q.2 The auto factory will build 1,408 new trucks in the next 32 days. How many will it build in one day?


Q.3 Pizza Depot will open 31 new restaurants next year. Each restaurant will need 27 employees. How many employees will Pizza Depot need to hire for the new restaurants?


Q.4 The parking lot has 1,326 spaces to hold cars. The lot is divided into 26 equal rows. How many cars will be parked in each row?


Q.5
If a machine makes 761 pencils in a second, how many pencils can it make in 23 seconds?


Q.6
In the Big Apple(New York City), each mail truck has 1,023 pieces of junk mail. If there are 71 mail trucks, how much junk mail do they have in total?

Thank in advance to those who answer this question, seriously. :)
Mathematics
2 answers:
alexandr402 [8]3 years ago
6 0
Q.1: 
1748/38=46
The sprinkler can spray 46 gallons of water in 1 minute.

Q.2:
1408/32=44
The auto factory can build 44 trucks in 1 day.

Q.3:
31*27=837
They need to hire 837 employees.

Q.4:
1326/26=51
The parking lot will have 51 cars per row.

Q.5:
761*23=17503
The machine can make 17,503 pencils in 23 seconds

Q.6:
1023*71=72633
The mail trucks have 72,633 pieces of junk mail in total.
OleMash [197]3 years ago
4 0
1748/38=how many gallons in a minute
Q.1 answer 46
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The zeros of a quadratic function are 2 and 4 what is the vertex of the function
ZanzabumX [31]

The x-coordinate of the vertex is precisely halfway between the given roots 2 and 4; thus, x = (2+4)/2, or x=3.  The y-coordinate is the value of the function at this x=3.  

We can actually determine the equation of this quadratic from the zeros:

f(x) = (x-2)(x-4), or   f(x) = x^2 - 6x + 8.  To find the y-coord. of the vertex,, subst. 3 for x in f(x) = x^2 - 6x + 8:    f(3) = 3^2 - 6(3) + 8 = 9 - 18 + 8, or -1.  Then we know that the vertex is at (3, -1).


3 0
2 years ago
Alice and Bob both go to a party which starts at $5:00$. Each of them arrives at a random time between $5:00$ and $6:00$. What i
faltersainse [42]

The probability comes out to be 9/32.

Deducing Arrival Time Possibility

All the possible arrival times by Alice and Bob, in minutes after 5 PM, is constrained by the values of given values of x and y,

x = 0, y = 0, x = 60, y = 60.

Here, let the values of x represent how many minutes after 5 PM Alice arrives at the party.

Let the y values represent the time in minutes that Bob arrives at the party after 5 PM.

Calculating the Required Probability

The times that concern us, however, are obtained by the following probability function,

x + y ≤ 45.

And x = 0, y = 0, and x + y ≤ 45 define the constraints of this probability function. Thus the perimeter of such a graph will be given as,

(45² / 2) = 1012.5 square units

Since the total area of the various arrival times is 60 x 60, or 3600 square units, the probability that Alice and Bob will arrive together after 5 o'clock in the evening in less than 45 minutes is therefore = 1012.5 / 3600 = 9/32

Learn more about probability here:

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3 0
2 years ago
The sum of three prime numbers (other than two) is always odd.
grandymaker [24]

Step-by-step explanation:

The statement in the above question is True.

Sum of three prime numbers (other than  two)  is always odd.

Going by Christian Goldbach number theory ,

  • Goldbach stated that every odd whole number greater than 5 can be written as sum of three prime numbers .  

 Lets take an example,

  • 3 + 3 + 5 = 11
  • 3 + 5 + 5 = 13
  • 5 + 5 + 7 = 17

Later on in 2013  the Mathematician <u>Harald Helfgott</u> proved this theory true for all odd numbers greater than five.

6 0
3 years ago
What is the value of p in the equation shown? <br> 3<br> p =-0.027
Art [367]

Answer:

According to the question,

3p=-0.027

By transposing '3' to the RHS, we get

p=0.027/3

=  p=-0.009

So in this question p=-0.009

4 0
2 years ago
Brad has two lengths of copper pipe to fit together. one has a length of 2 5/12 feet and the other has a length of 3 7/12 feet.
elena-s [515]
To find all of the feet of pipe that Brad has, you add both of the lengths of the pipes together. So 2 5/12+3 7/12. Add the numbers together first, 5. Then add the fractions, 5/12+7/12=1. So add 5 and 1 and you get 6 feet of pipe. Hope this helps. 
4 0
2 years ago
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