Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for
1 answer:
The cost of one pizza is $8.5
Step-by-step explanation:
Let,
Cost of one pizza = x
Cost of one bread stick = y
According to given statement;
3x+2y=29.50 Eqn 1
2x+3y=23 Eqn 2
Multiplying Eqn 1 by 2
Multiplying Eqn 2 by 3
Subtracting Eqn 3 from Eqn 4
Dividing both sides by 5
Putting y=2 in Eqn 1
Dividing both sides by 3
The cost of one pizza is $8.5
Keywords: linear equation, elimination method
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Answer:
7. parallel: k = 3
perpendicular: k = -4/3
8. $1300
Step-by-step explanation:
7.
Rewrite each equation as the slope-intercept form of a linear equation:
y = mx + b (where m is the slope and b is the y-intercept)
8y = 12x + 6
⇒
4y = k(2x + 10)
⇒ 4y = 2kx + 10k
⇒
If the graphs are parallel their slopes will be the same.
If the graphs are perpendicular then the product of their slopes will be -1.
8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).
Choose 2 ordered pairs from the table: (10, 110) and (20, 195)
Let = (10, 110)
Let = (20, 195)
Use the slope formula to find the slope m:
Now use the point-slope form of linear equation:
Substitute x = 150 into the equation and solve for y:
Therefore, the total cost of ordereing 150 mugs is $1300
Answer:
a. Mariah’s estimate of the time is too low
Step-by-step explanation:
To answer this question, we are going to need to input the values in the question into the compound interest formula:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
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First, change 3.75% into a decimal:
3.75% -> -> 0.0375
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
Mariah's estimate of the time is too low. Your answer is A.