Answer:
1 2/1 ÷1 1/2 = 2
Step-by-step explanation:
dividend ÷ divisor = quotient
1 2/1 ÷1 1/2 = 2
In order to solve this you need to make the mixed numbers into an improper fraction:
3/1 ÷ 3/2
use the KFC method (Keep Change Flip)
When you got to fractions you wanna divide flip the right and multiply
3/1 (2/3)= 2
Answer:
- Blue - 18, green - 50, with photo - 37
Step-by-step explanation:
<u>Total number = 150</u>
- Blue = 150/8 = 18 (integer part)
- Green = 150/3 = 50
- Spaceman Spiff autograph = 150/4 = 37 (integer part)
Answer:
28
Step-by-step explanation:
You want the smaller of the two factors of 896 that have the ratio 8:7.
<h3>Setup</h3>
Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...
x(8/7)x = 896
(8/7)x² = 896
<h3>Solution</h3>
Multiplying by the inverse of the coefficient of x², we have ...
x² = (7/8)(896) = 784
x = √784 = 28 . . . . . . . . take square root
The smaller of the two numbers is 28.
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<em>Additional comment</em>
The larger is (8/7)(28) = 32.
The similar circles P and Q can be made equal by dilation and translation
- The horizontal distance between the center of circles P and Q is 11.70 units
- The scale factor of dilation from circle P to Q is 2.5
<h3>The horizontal distance between their centers?</h3>
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
<h3>The scale factor of dilation from circle P to Q</h3>
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
brainly.com/question/3457976
<h2>
Explanation:</h2>
The vertex form of the equation of a parabola is given by the following form:
In this exercise, we have the following equation:
From here, we can conclude that:
Since the leading coefficient is less than zero, the parabola open downward. So, the graph is shown below and the vertex has been indicated.
<h2>Learn more:</h2>
Finding leading coefficient: brainly.com/question/1469367
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