The ratio of red to green is 5:6 which means that for every 5 red cars, there are 6 green cars
The ratio of green to blue is 3:10 telling us that for every 3 green cars, there are 10 blue cars.
The ratio 3:10 is equivalent to 6:20 after we multiply both parts by 2. This now says that for every 6 green cars, there are 20 blue cars.
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Let's say we had 5 red cars, 6 green cars and 20 blue cars
Based on that info, we know that the ratio of red to green is 5:6
And the ratio of green to blue is 6:20 which reduces to 3:10
We don't reduce 6:20 to 3:10 however, since that would change the green count from 6 to 3. We want to keep the green count at 6.
So because there are 5 red cars, 6 green cars, and 20 blue cars in this example, and this example points to the proper ratios mentioned earlier, this means that the final answer is 5:6:20. This ratio cannot be reduced or simplified as there are no common factors (other than 1) for 5, 6, and 20.
Answer:
The price of one hot dog is $1.65
Step-by-step explanation:
8h+4c= x
c= 1.25
x= 18.20
8h + 4(1.25)= 18.20
8h + 5 = 18.20
( subtract 5 from both sides of the equation)
8h = 13.20
( divide both sides by 8 to isolate the variable)
h = 1.65
so each hot dog is 1.65
Answer:
D
Step-by-step explanation:
The opposite angles of the inscribed quadrilateral are supplementary
∠A + ∠C = 180 and ∠B + ∠D = 180
∠B + ∠D = 93 + x + 30 = x + 123, hence
x + 123 = 180 ( subtract 123 from both sides )
x = 57 → D
the slant height would be the hypotenuse of a right triangle. 1/2 the length of the base would be one side of a right triangle. Use the Pythagorean theorem to find the height:
89.9^2 = 9.9^2 + x ^2
8082.01 = 98.01 + x^2
X^2 = 8082.01-98.01
X^2 = 7984
X = sqrt(7984)
X = 89.35
Round to 89.4
Answer:
a 2 9/10 b. 4 7/12 c. 5 2/9 d. 4 1/6 e. 3 5/7 f. 2/9
9. 1 5/6
10. 2 2/9
Step-by-step explanation:
9. 3 - 1 5/6
10. 6 2/3 divided by 3
