Answer:
82.02
Step-by-step explanation:
78.12 x 0.2 = 15.62 tip
78.12 x 0.15 = 11.72 discount
78.12-11.72 = 66.40 discounted meal price
66.40 + 15.62(tip) = 82.02 total meal price
Answer:
Median - 37.5
First Quartile - 30
Third Quartile - 44
Interquartile - 14
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Look at the picture and you will get your answer.
Answer:
31 bottles
Explanation:
First, we need to convert 4.8 cm to meters, so taking into account that 100 cm is equivalent to 1 m, we get:
Now, to know the number of bottles of nail polish that would fit on the shelf, we need to divide the length of the shelf by the width of the bottles, so:
Therefore, the best approximation is 31 bottles.
Answer:
4 : 7
Step-by-step explanation:
First, you can start by moving all the terms to one side:
14x^2 + 6xy - 8y^2 = 0
Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:
2(7x^2 + 3xy - 4y^2) = 0
In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:
2(7x^2 + 7xy - 4xy - 4y^2) = 0
Now, we can start to factor by grouping:
2( 7x[x + y] - 4y[x + y] ) = 0
And we can factor out [x + y]:
2(x + y)(7x - 4y) = 0
So, we can use the zero product property to get two equations:
x + y = 0
and
7x - 4y = 0
You get:
x = -y
and
7x = 4y
We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7