Answer:
Question 1: y = 3/4x + 1/4.
Question 2: y = 6/5x + 7/5.
Step-by-step explanation:
Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.
Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.
4 = 3/4(5) + b
b + 15/4 = 4
b = 16/4 - 15/4
b = 1/4
So, the equation of the line is y = 3/4x + 1/4.
Question 2: 5x + 6y = -6
6y = -5x - 6
y = -5/6x - 1
As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.
The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.
-1 = 6/5(-2) + b
b - 12/5 = -5/5
b = -5/5 + 12/5
b = 7/5
So, the equation of the line is y = 6/5x + 7/5.
Hope this helps!
Answer: $103
Explanation:
Stores will markup an item to make a profit so this question is asking how much they will be selling the shoes to the customer.
To solve this problem we will start by multiplying the price the store payed for (55.25) by the percentage in decimal form (.87)
55.25•0.87=48.0675
We then add the markup to the price payed for the shoes.
55.25+48.0675=103.3175
When rounding to the nearest dollar we look at the digit in the tens place (3) and since 3 is < 5 we round the final price to $103
Answer:
The average speed is 24 km/h less than the top speed of the lorry.
Step-by-step explanation:
The top speed of the lorry is the highest speed reached during transit, while its average speed is the mean speed attained
Given:.
Top speed of the lorry = 90 km/h
Average speed of the lorry = 66 km/h
Then,
The difference between the speed reached = top speed - average speed
= 90 - 66
= 24 km/h
Therefore, the average speed is 24 km/h less than the top speed of the lorry.
Intercepts<span> occur when a line crosses the </span>x<span>-axis or the </span>y<span>-axis. When the line crosses the </span>x<span>-axis, then </span>y<span> = 0 and </span>x<span> = </span>3<span>. ... The </span>intercept<span> points are (0, 4) and (</span>3<span>, 0 ). So the </span>y-intercept<span> is 4 and the </span>x intercept<span> is </span>3<span> and the sum is 7.</span>
Let cranberry juice be x.
Let citrus fruit juice be y.
x + y = 630
x + 0.1y = 630*0.23
Solving this yields,
x = 91
y = 539
Therefore, you need 91 oz of pure cranberry juice and 539 oz of fruit juice.
Hope this helps.:)