The equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Complete table be,
Plum 14 42 6 48
Grape 7 21 3 24
Given, a ratio table
Plum 14 42 __ __
Grape 7 __ 3 24
we have to find the missing values and the equivalent ratios.
in the first ratio,
Plum : Grape = 14 : 7 = 2 : 1
Now, in the second ratio,
2 : 1 = 42 : __
x = 21
Now, in the third ratio,
2 : 1 = __ : 3
x = 6
Now, in the forth ratio,
2 : 1 = __ : 24
x = 48
So, the equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Hence, the equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Complete table be,
Plum 14 42 6 48
Grape 7 21 3 24
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Answer:
The area of an octagon whose perimeter is 120 cm is 1086.4 
Step-by-step explanation:
An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.
There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.
The perimeter of an Octagon is given by
and the area of an Octagon is given by
We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get
Now, we calculate the area
Answer:
Her speed on the summit was 35 mph.
Step-by-step explanation:
Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:
time uphill = distance uphill / speed uphill = 55 / (x - 10)
time summit = distance summit / speed summit = 28 / x
total time = time uphill + time summit
3 = [55 / (x - 10)] + 28 / x
3 = [55*x + 28*(x - 10)]/[x*(x - 10)]
3*x*(x - 10) = 55*x + 28*x - 280
3x² - 30*x = 83*x - 280
3x² - 113*x + 280 = 0
x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph
x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph
Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.
-2.1(4.7+(-7.4))
-2.1(-2.7)
Your answer is...
5.67
