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melomori [17]
3 years ago
7

The Long family and the Harris family each used their sprinklers last summer. The water output rate for the Long family's sprink

ler was 25L per hour. The water output rate for the Harris family's sprinkler was 35L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1625L. How long was each sprinkler used?
Mathematics
1 answer:
horrorfan [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Given

Rate of Long family's sprinkler is 25 L/hr

rate of Harris family's sprinkler is 35 L/hr

Total time for which sprinkler is used =55 hr

Let long family run their sprinkler for x hr

therefore Harris family time=55-x

Total volume collected=1625 L

thus

25\times x+35\times (55-x)=1625

25x+1925-35x=1625

1925-1625=10x

300=10x

x=30 hr

long family used for 30 hr and Harris family used for 20 hr

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The event will have 27 tables, with 2 adults and 3 children in each table.

Step-by-step explanation:

The greatest number of tables the planner can set up is determined by finding the greatest common factor in 54 and 81. This is given by;

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3     18          27---------------divided by 3

3       6          9---------------divided by 3

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The greatest number of table will be given by : 3×3×3=27

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4 0
3 years ago
Quadratic equations and functions. <br> n^2+2n-15=0
sveta [45]

Answer:

n = -5, 3.

Step-by-step explanation:

n^2 + 2n - 15 = 0

Let's check if we can factor this quadratic:

We need 2 numbers whose product is -15 and whose sum is +2.

There are 2 such numbers and they are +5 and -3, so the factors are:

(n + 5)(n - 3) = 0.

n + 5 = 0 or n - 3 = 0

therefore the zeroes are -5 and 3.

8 0
3 years ago
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5 0
3 years ago
A die is rolled 20 times. given that three of the rolls came up 1, five came up 2, four came up 3, two came up 4, three came up
Serjik [45]

Solution:

Number of times a die is rolled = 20

1 - 3=A

2 - 5=B

3 - 4=C

4 - 2=D

5 - 3=E

6 -  3=F

Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times

            = Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes

= 6! × [ 3! × 5! × 4!×2!×3!×3!]

= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]

= 895795200  Ways

8 0
3 years ago
What are the degree and leading coefficient of the polynomial of 12u3 -8 + 23u
irga5000 [103]

Answer:

Degree: 3

Leading Coefficient: 12

Step-by-step explanation:

Find the highest power to determine the degree, in this case it's 3. Then identify the term with the highest power (12u^3) to find the leading coefficient.

So, because 3 is the largest and only power in this equation, it is the degree. 12u^3 is the leading term (term containing the highest degree) and 12 is the coefficient attatched to the term. Hope that helped!

4 0
3 years ago
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