Answer:
12
Step-by-step explanation:
It's simple, you divide 60 by 5 to get 12, so the scale factor of the triangle is 12
Answer: 3750 m
Step-by-step explanation:
Remember that there are different units; one is in km and the other is in m
I’ll go from km to m
1 km = 1000 m
Therefore 5 km = 5 x 1000 m
5km = 5000 m
Now, we just subtract to find how much more Suzanne have to run
5000 m - 1250 m = 3750 m
Answer:
Step-by-step explanation:
Given the set notations A = {a} B = {b, c} C = {a, b, d}
BUC = {a, b, c, d}
B∩C = {b}
a) A × (BUC) = {aa, ab, ac, ad}
b) A × (B ∩ C) = {ab}
c) (A × B) ∪ (A × C)
A × B = {ab, ac} and A × C = {aa, ab, ad}
(A × B) ∪ (A × C) = {aa, ab, ac, ad}
d) For (A × B) ∩ (A × C)
(A × B) ∩ (A × C) = {ab}
Note that the union (U) of two sets is the combination of all the elements in both sets while the intersection (∩)of two sets is the common elements that are found in both sets.
The Cartesian product of two sets is derived by mapping each of the element in the first set with all the element in the other set. It is denoted by the multiplication sign.
Answer: 15+1.50x ≤ 30 ; less than or equal to 10 rides
Step-by-step explanation:
- Subtract 15 on both sides. 15+1.50x ≤ 30
- Divide 1.50 on both sides. 1.50x ≤ 15
- x ≤ 10
Answer: 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Explanation:
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Note: "h" = time in "hour(s)" ;
"cm" = length in "centimeter(s)" ;
"min" = time in "minute(s)";
"m" = length in "meter(s)"
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Note these EXACT conversions:
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100 cm = 1 m ;
60 min = 1 h ;
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To solve:
Given: 17 cm / min ; convert to: ________ m / h
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(17 cm / min)* (1 m /100cm) * (60 min / 1 h) = _______ m / h
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The "cm" units cancel to "1"; the "min" units cancel to "1" and we are left with units of "m/h" {"meters per hour"}.
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We are left with (17 *1 m * 60) / (100 * 1 h) = [(17 * 60) m] / [100 h]
= [(17 *60) / 100 ] meters per hour.
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To simply: (17 * 60) / 100 ;
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Method 1): To simplify: (17 * 60) / 100 ;
→Rewrite as: (17*60) / 100 = (17*20*3)/(20*5) ;
→Cancel out the "20's "; and rewrite as:
→ (17*60) / 100 = (17*3)/5 = 51/5
= 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Method 2) To simplify: (17 * 60) / 100 ; Use calculator (or by hand):
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→ (17 * 60) / 100 = 1,020 /100
= 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Method 3) To simplify: (17 * 60) / 100 ;
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→ (17 * 60) / 100 = ? ;
→ Divide BOTH the "100" AND the "60" by "10";
→ 60÷10 = 6 ; 100÷10 =10; and rewrite—replace the "60" with a "6"; and replace the "100" with a "10" ;
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→ (17*60)/100 = (17*6)/10 = 102/10
= 10.2 meters per hours; or, write as: 10 ⅕ meters per hour.
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