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Rufina [12.5K]
3 years ago
6

Please help will mark brainiest

Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

y=2.75 units.

Step-by-step explanation:

We have been given that the bottom of a vase is a square. Each side measures y+11 units. The square has a perimeter of 55 units.

Since we know that all sides of square are of equal measure and the perimeter of a square is 4 times the length of each side.

\text{Perimeter of square}=4\times\text{Length of each side}

Upon substituting our given values in above formula we will get,

55=4\times (y+11)  

Upon distributing 4 we will get,

55=4y+44

Upon subtracting 44 from both sides of our equation we will get,

55-44=4y+44-44

11=4y

Upon dividing both sides of our equation by 4 we will get,

\frac{11}{4}=\frac{4y}{4}

2.75=y

Therefore, the value of y is 2.75 units.

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The Martinez family went to the movies and paid $60 for two adult tickets and three children’s tickets. The Wright family consis
Pepsi [2]

Answer:

a = $13.5

Step-by-step explanation:

Let a = adult tickets

Let c = children tickets

Translating the word problem into an algebraic equation;

<u>For the Martinez family;</u>

2a + 3c = $60

<u>For the Wright family;</u>

3a + 5c = $95.5

Thus, the simultaneous equations are;

2a + 3c = $60 ..........equation 1

3a + 5c = $95.5 .........equation 2

We would use substitution method to solve;

From equation 2, we make a the subject of formula;

3a = 95.5 - 5c

a = (95.5 - 5c)/3

<em>Substituting the value of "a" into equation 1, we have;</em>

2[(95.5-5c)/3] + 3c = 60

Multiplying all through by 3;

2(95.5 - 5c) + 9c = 180

191 - 10c + 9c = 180

191 - c = 180

c = 191-180

c = $11

To find the value of a;

2a +3c = 60

<em>Substituting the value of "c" into the equation, we have;</em>

2a + 3(11) = 60

2a + 33 = 60

2a = 60 - 33

2a = 27

a = \frac{27}{2}

a = $13.5

<em>Therefore, the cost of an adult movie ticket is $13.5. </em>

5 0
3 years ago
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