Yuson must complete 210 min of community service. She does 30 min each day. Which linear equation represents the number of minut
1 answer:
Answer:
Step-by-step explanation:
Let
x -----> the number of days
y ----> the number of minutes Yuson has left
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-coordinate of the y-intercept (initial value)
In this problem we have
The slope is equal to
----> is negative because is a decreasing function
----> initial value
substitute the values
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Let us assume uniform width = x cm wide.
Length of rectangular portrait = 50cm and width of rectangular portrait = 70cm.
Therefore, length of rectangle made by frame = 50 + x+x = (2x+50) cm.
And width of rectangle made by frame = 70+x+x = (2x+70) cm.
We know, the area of rectangular portrait = 50 × 70 = 3500 cm^2.
Total area of the rectangle made by frame would be = (2x+50) * (2x+70)
We know,
Actual area of frame = Area of rectangle made by frame - area of rectangular portrait.
We also given "the area of the frame is the same as the area of the portrait."
We can setup an equation now,
3500 = (2x+50) * (2x+70) - 3500.
Subtracting 3500 from both sides, we get
3500-3500 = (2x+50) * (2x+70) - 3500-3500.
0 = (2x+50) * (2x+70) -7000.
FOIL (2x+50) * (2x+70), we get
0 = 2x*2x +2x*70 + 50*2x +50*70 - 7000.
0 = 4x^2 +140x +100x +3500 -7000.
4x^2 +240x -3500 = 0.
Dividing whole equation by 4, we get
x^2 +60x - 875 =0
Applying quadratic formula , we get
We cant take negative value.
So,
We could take approximately 12 cm.
Alright, lets get started.
The foreign exchange rate between the japanese yen and the euro is 190:1 given.
It means 1 euro = 190 yen
We are asked to find how many yen will be equal to 10 euros.
Means we need to multiply given euros with 190 because 1 euro = 190 yen
Hence 10 euros yen
10 euros = 1900 yen : Answer
Hope it will help :)