Answer:
x = 4
, y = 2
Step-by-step explanation by elimination:
Solve the following system:
{2 x + 3 y = 14 | (equation 1)
x + 5 y = 14 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 3 y = 14 | (equation 1)
0 x+(7 y)/2 = 7 | (equation 2)
Multiply equation 2 by 2/7:
{2 x + 3 y = 14 | (equation 1)
0 x+y = 2 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{2 x+0 y = 8 | (equation 1)
0 x+y = 2 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = 4
, y = 2
Answer:
7<em><u>f</u></em>
Step-by-step explanation:
You move 7 to the left of <em>f. </em>
This makes the exact value of <em>f</em>(7), 7<em>f</em>.
Answer:
Step-by-step explanation:
Probability tells us how likely something is to occur. It is found by dividing the favorable outcomes by the total outcomes.
In this question, a favorable outcome is selecting a green dye. The total outcomes are all the dyes.
- Favorable outcomes (green dye): 14
- Total outcomes (all dyes): 20 blue+ 6 red+14 green=40
Reduce the fraction. Both the numerator and denominator can be divided by 2.
This is the probabilty as a fraction. It can also be written as a percent. Divide the fraction, then multiply by 100.
The probablity of selecting a green dye is <u>7/20 or 35%</u>
Answer:
Cost of the binder = $5
Cost of the highlighter = $2.5
Cost of the folder = $2
Step-by-step explanation:
Let
Cost of the binder = x
Cost of the highlighter = 1/2x
Cost of the folder = x - 3
Total cost = $9.50
Total cost = Cost of the binder + Cost of the highlighter + Cost of the folder
9.50 = (x) + (1/2x) + (x-3)
9.50 = x + 1/2x + x - 3
9.50 + 3 = x + 1/2x + x
12.50 = 2x + 1/2x
12.50 = 2 1/2x
12.50 = 5/2x
x = 12.50 ÷ 5/2
= 12.50 × 2/5
= 25/5
x = $5
Cost of the binder = x = $5
Cost of the highlighter = 1/2x = 1/2*6 = $2.5
Cost of the folder = x - 3
= 5 - 3 = $2
Answer: Option (2)
Step-by-step explanation:
Setting the equations equal to each other,
If x=7, then 
