Answer:
9 months
Step-by-step explanation:
Given data
One time fee= $140
Monthly fee= $40
Total amount of check = $500
The expression that describes the situation is given as
y=mx+c
where y= the total amount of the check
m= the monthly fee
x= the number of months
c= the one time fee
Substitute
500=40x+140
500-140=40x
360=40x
x= 360/40
x=9
Hence the number of months is 9 months
4x-3y=-9
The first step is to isolate your y value.
Subtract 4x from both sides to get
-3y=-4x-9
Then, divide your whole equation by -3. This gives you y=4/3+3
To graph, plot (0, 3), or three on your y-axis to get your y-intercept.
For your slope, use the rise/run (go up 4, across 3)
You should have a positive slope.
<span>1) The problem says that the quilt squares are cut on the diagonal to form triangular quilt pieces. Then, the triangle pieces have angles of 45°, and the legs have the same lenght. So, you can solve the exercise by applying </span><span>the Pythagorean Theorem:
</span>
h²:s²+s²
h²=2s²
h²/2=s²
s=√(h²/2)
"h" is the hypotenuse (h=10 inches) and "s" is the length of the sides.
When you substitute the value of the hypotenuse into the formula s=√(h²/2), you obtain the sides length:
s=√(h²/2)
s=√(10²/2)
s=5√2
What is the side length of each piece?
The answer is: 5√2
2)Tan(α)=Opposite/Adjacent
α=30°
Opposite=17
Adjacent=x
When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:
Tan(α)=Opposite/Adjacent
Tan(30°)=17/x
x=17/Tan(30°)
x=17√3
Sin(α)=Opposite/Hypotenuse
α=30°
Opposite=17
Hypotenuse=y
Then, you have:
Sin(30°)=17/y
ySin(30°)=17
y=17/Sin(30°)
y=34
Answer:
1 is 0.6 and 2 is 612 3 is 39.2 and 4 is -3 and 5 is 9/4 or (2 1/4)
Step-by-step explanation:
:)
From 1030 to 1100 is 30 minutes
From 1100 to 1200 is 60 minutes
From 1200 to 1215 is 15 minutes
Total Time is 105 minutes
105/7=15
Tom completes 1 mile every 15 minutes