Answer:
60 lbs left over
Step-by-step explanation: Since the small containers hold 8 lbs each you multiply 8 by 2 since there are 2 containers. Same for the large, multiply 9 by 12 because each container holds 12 lbs and there is 9 containers. Then, you subtract 4 from that total because she already used 4 lbs.
x=(2*8)+(9*12)-4 Multiply
x=16+108-4 Simplify
x=120
So, before she fills the bird feeders she has 120 lbs of bird seed. There are 30 bird feeders and since they hold 2 lbs each you multiply 30 and 2. Then you subtract that from the 120 lbs because she is filling the bird feeders with that seed.
120- (30*2)
120-60= 60 lbs left over
Since, PS and QR are parallel, we know that <QRP is equal to <RPS. Therefore, we can solve for y by setting the two equations equal to each other.
5y+14=8y-13
<em>*Subtract 5y from both sides to isolate the variable*</em>
14=3y-13
<em>*Add 13 to both sides*</em>
27=3y
<em>*Divide both sides by 3*</em>
9=y
Now, plug in 9 for y in the equation 8y-13 to find the measure of that angle.
8(9)-13
<RPS=59
Now, the sum of the angles in any triangle is equal to 180 degrees. We can use this knowledge to set up an equation to solve for x.
3x+2x+1+59=180
<em>*Combine like terms*</em>
5x+60=180
<em>*Subtract 60 from both sides*</em>
5x=120
<em>*Divide both sides by 5*</em>
x=24
Now, we can find <RSP by pluggin 24 in for x.
2(24)+1
48+1
<RSP=49 degrees
Hope this helps!!
Answer:
(y-24)=-7(x+4)
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-24)=-7(x--4)
(y-24)=-7(x+4)
