The easiest way to find a parallel equation is to write your equation in slope-intercept form. The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables.
You're given 5x + 10y = -4.
1) Move 5x to the right side by subtracting 5x from both sides:
5x + 10y = -4
10y = -5x - 4
2) Divide both sides by 10 to get y by itself on the left. Simplify:
<span>Remember that for
parallel lines, the slope, m, is the same for both equations. You can make the y-intercept, b, whatever number you want.
When the equation is in slope-intercept form, </span>
, you can see that
.
A parallel equation is in the form:
Plug in anything you want for b. One example is:
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Answer:
(just one example)
You divide them, so 1,125 divided by 15=25. So your Answer is 75 students are on each bus.
For this, you would use simultaneous equations.
w=walnuts
a=almonds
3w+6a=51
5w+4a=55
Find a way to make one of the unknowns equal. since we are trying to work out the price of a pound of walnuts, I am going to make a equal on each side to leave us with w. This leaves us with:
15w+12a=165
6w+12a=102
Then take them away to leave w:
9w=163
Then solve:
w=163/9
= 18.11111111...
Then round it to 2 decimal places as the measurement is currency.
So 1 pound of walnuts equals $18.11
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7. Okay. So the computer was originally $1,080, and the discount is 20%, but David would still have to pay 80% of the original price. To find the sale price, let's multiply. 1,080 * 80% (0.8) is 864. The sale price of the compuet is $864, but now we must add the sales tax to find the total price. We will multiply by 108%, because 100% (representing the price + 8% is 108%, and doing this will get us stright to the total price. 864 * 108% (1.08) is 933.12. There. David paid a total price of $933.12 for the computer.
8. Okay. So we are looking for the amount of discount for the sweater Suzanne bought. First off, let's subtract the prices to find the difference. 40 - 25 is 15. Now, let's divide that by 40 (the original price) to find the discount. 15/40 is 0.375. Or 37.5% when converted into a percentage. There. Suzanne received a 37.5% discount on the sweater when she bought it.
9. So the car was bought for x dollars. 0.88 represents 88%, so the value of the car is 88% of the previous year. An expression that is a way to describe the change in car value is x * (100 - 0.12)^t, because you car loses 12% of the remaining value each year, which leaves 88% of it remaining, and having the t as the exponent represents the number of years. That expression helps find the value of the car currently and can help you compare the values.
X=((log(225000/200000)/log(1.03))
X=log(225,000÷200,000)÷log(1.03)
X=3.98 years