The answer
$50 +$1=$51
so $<span>51-$0.72=$50.28
the taxe rate is 7.5%
it is </span><span>$50.28x7.5/100= $3.77
</span>
the selling price of the blender before taxes was $50.28 - <span>$3.77=$46.50</span>
Answer:
18 units
Step-by-step explanation:
Let the diagonals be x:y=3:2
From this , we have:
![y= \frac{2}{3} y](https://tex.z-dn.net/?f=y%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20y)
The area of a rhombus, is given by:
![\frac{1}{2} \times product \: of \: diagonals](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20product%20%5C%3A%20of%20%5C%3A%20diagonals)
This means:
![\frac{1}{2} xy](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20xy)
This is equal to 108 as given in the question.
We substitute to get:
![\frac{1}{2} x \times \frac{2}{3}x = 108](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20x%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B3%7Dx%20%3D%20108%20)
This means:
![{x}^{2} = 324](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20324)
![x = \sqrt{324} =1 8](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B324%7D%20%20%3D1%208)
The longest diagonal is 18
Using proportions, the estimate of the population percentage of seniors that will say they are going to the graduation party is of 62.5%.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The estimate of a population proportion is the sample proportion. In this problem, the sample proportion is of 75 out of 120 students, hence:
p = 75/120 = 0.625 = 62.5%.
The estimate of the population percentage of seniors that will say they are going to the graduation party is of 62.5%.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
17
Step-by-step explanation:
Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.
I'm pretty sure thats right, Hope this helps.
Answer:
20
Step-by-step explanation:
8x=6x+5 (subtract 6x from both sides)
2x =5 (divide by 2 both sides)
x=2.5
8x= 8*2.5 = 20 (substitute 2.5 for x)
or 6x+5 = 6(2.5)+5 = 20 (substitute 2.5 for x)