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Veronika [31]
3 years ago
6

Nico dropped the brand new bottle of dog shampoo and 3 ounce spilled out. He measured 1 1/4 ounces each time he shampoos his dog

and the bottle of shampoo originally contained 30 1/2 ounces. What is an equation and value of x the number of times Nico can bathe his dog using this one bottle
Mathematics
2 answers:
GalinKa [24]3 years ago
7 0

Answer:

equation ( 1.25x = 27.5 ) and x = 22.

Step-by-step explanation:

Shampoo bottle contains shampoo = 30\frac{1}{2} ounces = 30.5 ounces

If 3 ounces spilled out the remaining amount of shampoo = ( 30.5 - 3 ) = 27.5 ounces.

Every time he shampoos his dog, amount of shampoo required = 1\frac{1}{4} ounces = 1.25 ounce

If x is the number of times Nico can bathe his dog using the same bottle of shampoo then total amount used = (1.25) (x) ounces

Now remaining amount of shampoo = ttal amount used to shampoo the dog

(27.5) = (1.25x)

x= \frac{27.5}{1.25}  = 22 times

So answer will be equation ( 1.25x = 27.5 ) and x = 22.

Ksju [112]3 years ago
4 0

Answer:

30 1/2 - 3 = 27 1/2

27 1/2 = 1 1/4x

he can bathe his dog 22 times

Step-by-step explanation:

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Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much
Nina [5.8K]

The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

<h3>What is system of equation?</h3>

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,

3x+2y=12.5

Solve this equation as,

2y=12.5-3x\\y=\dfrac{12.5-3x}{2}                        .....1

Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,

2x+4y=13

Put the value of y in this equation and solve it further,

2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3

Put this value of x in equation 1,

y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75

The cost of an order of 1 hamburger and 2 orders of fries is,

C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5

Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

Learn more about the system of equations here;

brainly.com/question/13729904

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3 0
2 years ago
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainde
Verdich [7]

The smaller number is 270 and the largest number is 1635 if the difference between the two numbers is 1365.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x and y be the smaller number and larger number respectively.

From the question:

y − x = 1365

y = 6x + 15

After solving the above two linear equations:

x + 1365 = 6x + 15

5x = 1350

x = 270

y = 1635

Thus, the smaller number is 270 and the largest number is 1635 if the difference between the two numbers is 1365.

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2 years ago
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