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Dimas [21]
4 years ago
5

Water is being pumped to empty a swimming pool.

Mathematics
1 answer:
IceJOKER [234]4 years ago
3 0
To empty the pool, you need to lower the water level by 150cm. since you can only lower it by 30cm every 2 hours (also same as 15 cm per hour), that means it will take you 10 hours.

150cm*(2 hours)/(30cm) = 150*(1/15) = 150/15 = 10.

6 a.m. + 10 hours = 4 p.m.

So the answer is C.) 4 p.m.
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the product of two consecutive integers is 420. an equation is written in standard form to solve for the smaller integer by fact
Xelga [282]
Start by writing your own expression.

x is the smaller number and x + 1 is the next number

x(x + 1) = 420

x^2 + x - 420 =0 ⇒ constant = -420
6 0
3 years ago
Read 2 more answers
Question: (5x-8)/(45x^2--42x-48)
My name is Ann [436]

To solve this problem you must apply the proccedure shown below:

1. You have the folllowing expression given in the problem above:

(5x-8)/(45x^{2}-42x-48)

2. The first thing you must do is to factor the denominator, as following:

(5x-8)/3(3x+2)(5x-8)

3. Now, simplify it and apply the distributive property in the denominator:

1/3(3x+2)=1/9x+6

The answer is: 1/9x+6

4 0
4 years ago
Read 2 more answers
Which equation models a line that is perpendicular to y = x - 1 and goes through the point (5,4)
PtichkaEL [24]

Answer:

y = - x + 9

Step-by-step explanation:

Because the line is perpendicular, the slope with be the opposite reciprocal. So, if the slope is 1 as in the equation y = x - 1, the opposite reciprocal is -1.

So the equation that is perpendicular will look like this so far:

y = -x + b   (b represents our y-intercept that we have not found yet)

Now we will find the y-intercept. We can find it by substituting the coordinates (5,4) as x and y into the equation right above ^^.

So,  4 = -(5) +b     or     4 = -5 + b

Add 5 to both sides to isolate b on the right side. b = 9

Therefore, the y-intercept is 9.

Now we have found everything we need for the equation, which is

y = - x + 9

8 0
4 years ago
Please help me!!
Phoenix [80]

Answer:

=76

Step-by-step explanation:

24+(−9)(−4)+33−17

=24+36+33−17

=60+33−17

=93−17

=76

7 0
3 years ago
A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The membe
Mama L [17]

Answer:

3(75) + 50C

Step-by-step explanation:

Suppose a school needs to make T-shirts for its 75 members and the ordered printing company charges $3er shirt. This implies that the total amount that will be paid for the shirt without being a colored printing will be :

3(75) ----- Let that be  equation (1)

If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1

However, if the ordered printing company charges a $50 fee for each color to be printed on the shirts, therefore, the total number of colors on the shirt will cost $50C  --- Let that be equation (2)

here, C represents the total amount of colors in the number of T-shirts

Therefore, the equation showing the relationship between the number of T-shirts ordered and the number of colors can be expressed as the summation of the above two equations:

=  3(75) + 50C

6 0
3 years ago
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