The right answer is Option C: 20
Step-by-step explanation:
Given,
Cost of medium cup of coffee = $3.00
Cost of large cup of coffee = $4.00
Total cups sold = 35
Total revenue for the coffee = $125.00
Let,
Number of medium cups of coffee = x
Number of large cups of coffee = y
According to given statement;
x+y=35 Eqn 1
3.00x+4.00y=125.00 Eqn 2
Multiplying Eqn 1 by 3;
Subtracting Eqn 3 from Eqn 2
As y represents the number of large cups, therefore,
20 large cups of coffee were sold by the shop.
The right answer is Option C: 20
Keywords: linear equation, subtraction
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The rate of growth in the tree is 4 feet per year.
Height of tree at year 0 = 2 feet
Height of tree at year 1 = 6 feets
Height of tree at year 0 = 10 feets
Therefore, the difference in the heights of the tree from the previous year will be:
= 6 feet - 2 feet.
= 4 feet
In conclusion, the correct option is B.
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Answer:
f(x)= x2 - 2x + 3
0=3
x = ¤
Step-by-step explanation:
f(x) = -2x +19
0=-2x +19
2x=19
x =19/2
x= 9,1/2
x=9,5
Answer:
The answer would be 36 months
Step-by-step explanation:
14. 1.5, 10 <- Answer
15. 5,1 <- Answer
Proof 14
Solve the following system:
{2 x - y = -7 | (equation 1)
4 x - y = -4 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -4 | (equation 1)
2 x - y = -7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x - y = -4 | (equation 1)
0 x - y/2 = -5 | (equation 2)
Multiply equation 2 by -2:
{4 x - y = -4 | (equation 1)
0 x+y = 10 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = 6 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 3/2 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = 1.5
y = 10
Proof 15.
Solve the following system:
{5 x + 7 y = 32 | (equation 1)
8 x + 6 y = 46 | (equation 2)
Swap equation 1 with equation 2:
{8 x + 6 y = 46 | (equation 1)
5 x + 7 y = 32 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:{8 x + 6 y = 46 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Divide equation 1 by 2:
{4 x + 3 y = 23 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Multiply equation 2 by 4/13:
{4 x + 3 y = 23 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 20 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 5 y = 1
