Answer:
x = -1 / 3
Step-by-step explanation:
Given that the triangle is dilated by factor 3, the image will be found as follows;
The object is at:
A(-7,-3), B(-3,-2), C(-4,-5)
when the image was enlarged the new coordinates will be:
A'=3(-7,-3)=(-21,-9)
B'=3(-3,-2)=(-9,-6)
C'=3(-4,-5)=(-12,-15)
since the image is centered at the point (-7,-6), the final point will be at:
A"=[(-21+-7),(-9+-6)=(-28,-15)
B''=[(-9+-7),(-6+-6)]=(-16,-12)
C''=[(-12+-7),(-15+-6)]=(-19,-17)
thus the coordinates of the final image are:
A''(-28,-15),B''(-16,-12),C''(-19,-17)
Answer:
The correct option is the last one (0,84 grams, because (5.04 × 1.67) × (10^23 x 10^-24) = 8.4168 x 10^-1))
Step-by-step explanation:
The first step is to think that you have to multiply the number of atoms for the weight of each atom.
When you work with scientific notation, you should solve the operation for numbers and for the ten base. In this case you solve 5.04 x 1.67 and then the product of the ten bases. For this product you have to sum the exponents of the ten base 23 + (-24) = -1.
Summarizing.... 5.04 x 10^23 x 1.67 x 10^-24 = (5.04 x 1.67) x (10^23x10^-24) ⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 8.4168 x 10^-1
⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 0,84168.
Whole numbers are a subset of integers, which in turn are a subset of rational numbers.
So, every whole number is an integer, and every integer is a rational number.
So, it is possible for a rational number not to be an integer. Think of any decimal number: 1.356 is a rational number, but it's not an integer.
On the other hand, if a number is not an integer, it can't be a whole number, because all whole numbers are integers.
Answer:
A. $58.50
B. $80
C. No. The markup was 33 1/3%
Step-by-step explanation:
You are expected to know the relevant relationship is ...
cost + markup = selling price . . . . also called "store price" in this problem
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A. The markup is 30% × $45 = $13.50, so the store price is ...
$45 + 13.50 = $58.50
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B. When the 30% markup is added to the 100% cost, the selling price is 130% of the cost, or 1.30 times the cost. Here you have ...
$104 = 1.30 × cost
$104/1.3 = cost = $80 . . . . . divide by the coefficient of cost
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C. The markup is $100 -75 = $25, so the markup percentage based on cost is ...
$25/$75 × 100% = 33 1/3%
This is not 30%.
Step-by-step explanation:
