The answer is very simple .
First you need to determine the slope, which is the reciprocal of the first line.
Then,
y = mx + b
m => -1/m
The perperdicular line has a new slope equal to m = -1/2
In the formula (y - y1) = m ( x - x1 ) + b , you should sustitude this value.
So the final equation will be
-3 = -1/2 (0) + b
b = - 3
y = (-1/2)x - 3
That is the solution
a. The inequality 15x+300≤750 represents the situation.
b. It means that the band can spend at most $30 on each uniform without exceeding the budget.
Step-by-step explanation:
Given,
Budget = $750
Competition fee = $300
Uniforms to make = 15
Let,
x be the amount for each uniform.
a. Write an inequality to represent this situation.
Uniforms to make * Cost per uniform + Competition ≤ Budget
15x+300 ≤ 750
The inequality 15x+300≤750 represents the situation.
b. Solve the inequality and describe what it means in the situation.
Dividing both sides by 15
It means that the band can spend at most $30 on each uniform without exceeding the budget.
Keywords: inequality, division
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Answer:
No, because 1.25% times 3 is 3.75% which is less than 6%
Step-by-step explanation:
Quarterly is every 3 months
6% interest is 1.06, 6 cents on the dollar
Monthly interest rate is 1.25% so 1.25 × 3 is 3.75
So, 1.25% times 3 is 3.75% which is 2.25% less than 6%
Hope this helps!
Have a great day!
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Answer:
x < 33.84
Step-by-step explanation:
we have
13.48x-200 < 256.12
Solve for x
Adds 200 both sides
13.48x-200 +200 < 256.12+200
13.48x < 456.12
Divide by 13.48 both sides
13.48x/13.48 < 456.12/13.48
x < 33.84
The solution is the interval ----> (-∞, 33.84)
All real numbers less than 33.84
Answer:
x = 3
Step-by-step explanation:
3x + 2 = 11
-2 -2
3x = 9
÷3 ÷3
x = 3
