Answer:
The scale is 1:200
Step-by-step explanation:
On the plan we have the drawing as 6 cm
In real representation, we have the distance as 12 m
Firstly we have to convert to same unit
In this case, we use the cm for convenience
Mathematically, 100 cm is 1 m
Thus, 12 m
will be 12 * 100 = 1,200 cm
So, we have the ratio as;
6 cm : 1,200 cm
and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)
Answer:
Both boats will be 54 miles apart after 3 hours.
Step-by-step explanation:
Given that from a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour, to determine how many hours they will be 54 miles apart, the following calculation must be performed :
54 / (11 + 7) = X
54/18 = X
3 = X
Therefore, both boats will be 54 miles apart after 3 hours.
1-1, 1-2, 1-3, 1-4 and u should Change it to middle school
Answer:
x = 1, y = 10
Step-by-step explanation:
y = -5x + 15 --- Equation 1
2x + y = 12 --- Equation 2
Substitute y = -5x + 15 into Equation 2:
2x + y = 12
2x - 5x + 15 = 12
Evaluate like terms.
15 - 3x = 12
Isolate -3x.
-3x = 12 - 15
Evaluate like terms.
-3x = -3
Find x.
x = -3 ÷ -3
x = 1
Substitute x = 1 into Equation 2:
2x + y = 12
2(1) + y = 12
2 + y = 12
Isolate y.
y = 12 - 2
y = 10
Answer: 0.15(40) + 0.6(x – 40) = 0.25(x)
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Fifteen percent of the pigment in paint color A is black
15% = 15/100 = 0.15 (decimal form)
0.15 A
Sixty percent of the pigment in paint color B is black
0.6 B
An unknown amount of paint color B is mixed with 40 ml of paint color A,
SO:
0.15 (0.40)
0.6 (x-0.40)
x = total amount of paint in the mixture of the two colors
The result is a paint that contains 25% (0.25 in decimal form)black pigment (x)
0.15(40) + 0.6(x – 40) = 0.25(x)
Feel free to ask for more if needed or if you did not understand something.
