Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25
Answer:
14^3/100 i think im not 100% sure so if its wrong dont get mad
Step-by-step explanation:
Answer:
3.33×10⁴
Step-by-step explanation:
You can use the hint, or you can use a common exponent. Here is the latter case.
(3.9×10⁴) -(5.7×10³) = (3.9×10⁴) -(0.57×10⁴) = (3.9 -0.57)×10⁴
= 3.33×10⁴
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With a little practice, you can see the effect on exponents of moving the decimal point. Here, we have ...
5.7×10³ = (0.57×10)×10³ = 0.57×(10×10³) = 0.57×10⁴
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When adding or subtracting in scientific notation, all that is required is that the exponents of all the numbers be the same. The hint says make all the exponents be 0. Above, we have chosen to make them all be 4. You could also use 3:
(3.9×10⁴) -(5.7×10³) = (39×10³) -(5.7×10³) = (39 -5.7)×10³
= 33.3×10³ = 3.33×10⁴
First, we need to find how much a single pound of apples costs.
Do this by dividing.
Now, write an equation.
This represents that the cost equals 3.5 times the number of apples.
For this case we have that the complete question is:
There were 20 drinks in a cooler. Joey drank 15% of the drinks. Sandra drank 1/5 of the drinks. Hannah drank 1/4 of the drinks. Tammy drank 30% of the drinks. How many drinks are left in the cooler? a 0 b 2 c 5 d 9
We propose a rule of three:
20 ---------> 100%
x ------------> 15%
Where the variable "x" represents the amount of drinks equivalent to 15%.
So, Joey drank 3 drinks.
On the other hand, we have that Sandra drank 
of the drinks:
Thus, Sandra drank 4 drinks.
In addition, Hannah drank
of the drinks:
So Hannah drank 5 drinks.
Finally, Tammy drank 30% of the drinks:
20 ---------> 100%
y ------------> 30%
Where the variable "y" represents the amount of drinks equivalent to 30%.
So Tammy drank 6 drinks.
Adding up we have:
So: 
Thus, 2 drinks remain in the refrigerator.
Answer:
Option B
