Pink ribbons are 3 ( 12:4)
3 pink + 3 purple =6 (together)
12-6 = 6(red)
Fraction is 6/12 simplify 1/2 the answer is one half (1/2)
Answer:yes, the lawn can be watered completely by 4 installed sprinklers.
Step-by-step explanation:
The lawn is rectangular and its area is 32 square yards. Sprinklers are to be installed and each sprinkler waters in a circle. The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
If each sprinkler can completely water a circular area of lawn with a maximum radius of 2 yards., the the maximum area that can be watered by each sprinkler would be
Area = 3.14 × 2² = 12.56 yards²
If 4 sprinklers are completely installed, then the total area that they can water would be
12.56 × 4 = 50.24 yards²
Therefore, the lawn can be watered completely by 4 installed sprinklers.
What I would do here is substitute "5y -87" for x in the first ecquation, since the second equation is already in the form "x=..." so:
4*(5y-87)+9y=29
getting rid of the bracket:
20y-348+9y=29
adding up:
29y=29+348
29y= 377
dividing by 29:
y=13
and now we can calculate x, which is 5*13-87=65-87=-22
so x=-22
Answer:
<em>2a</em>
Step-by-step explanation:
Look at the numbers first: 12, 28, 42
12 = 2 * 2 * 3
28 = 2 * 2 * 7
42 = 2 * 3 * 7
The only factor all numbers have in common is 2.
GCF of numbers = 2
Now look at the variables: a^2b^6, a^4, ab^3
a^2b^6 = aabbbbbb
a^4 = aaaa
ab^3 = abbb
The only variable all expressions have in common is a.
GCF of variables = a
GCF of the three monomials is: 2a
The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
<h3>How to check that the series meets the requirements?</h3>
To verify that the series meets the requirements, we must establish what the requirements are:
- Every 3 consecutive numbers must add up to 19.
- In total there must be 14 numbers.
- The total sum of all the numbers must be 77.
To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
- 5 + 6 + 8 = 19
- 9 + 4 + 6 = 19
- 7 + 3 + 9 = 19
- 2 + 8 + 9 = 19
In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
Learn more about numbers in: brainly.com/question/17429689
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