Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
In the number 582, the 2 has a value of 2.
In the number 528, the 2 has a value of 20.
Similarities...
1) Both divisible by 2.
2) Both divisible by 1.
3) Both are even numbers.
Answer:
y=-1x+8
Step-by-step explanation:
idk what to do here
Answer:
Andre scored 14 points.
Equation: x = 14
Step-by-step explanation:
Let the number of points Andre scored be x.
Diego's points = x-9
Noah's points = (x-9) × 2
= 2x-18
Now, you know the exact value of Noah's points which is 10.
2x-18 = 10
Isolate the 2x.
2x = 10+18
= 28
x = 28÷2
= 14
