Answer:
- <em><u>The field in Lexie's drawing should be 20 cm long.</u></em>
Explanation:
Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.
The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:
- length of the drawing / width of the drawing = length of the field / width of the field
Thus, using x for the unknown width of the drawing:
- 30 cm / x = 120 yard / 80 yard
Thus, you must solve for x:
- 30 cm × 80 yard = 120 yard × x
- x = 30 cm × 80 yard / 120 yard = 20 cm.
Hence, the field in Lexie's drawing should be 20 cm long.
84/120 can be reduced to 7/10
Answer:
- The system of equations is x + y = 85 and 7/20x+2/5y=31
- To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
- B-She used 60 minutes for calling and 25 minutes for data.
Step-by-step explanation:
It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...
x + y = 85
The total of charges is the sum of the products of charge per minute and minutes used:
7/20x + 2/5y = 31.00
We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.
-7(x +y) +20(7/20x +2/5y) = -7(85) +20(31)
-7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses
y = 25 . . . . . . . . simplify
Then the value of x is
x = 85 -y = 85 -25
x = 60
The one on the left is -5/6
The one on the right is 1/21
Answer:
<u>u ≤ -6</u>
Step-by-step explanation:
Given :
Add 2 on both sides :
- 22 + 2 ≤ -4u - 2 + 2
- -4u ≥ 24
Divide both sides by -4 (remember the sign changes direction when divided by a negative number) :
- -4u/-4 ≥ 24/-4
- <u>u ≤ -6</u>
