Answer:
The equation is;
S = 18 - 1.5t
Step-by-step explanation:
From the question, we are made to know that the depth of the snow is S and the time taken to melt in hours is t
After 4 hours of melting, the snow depth is 12 inches
Now, recall that the rate of melting is 1.5 inches/ hour
So in the 4 hours, the amount of snow melted will be 1.5 * 4 = 6 inches
So the total depth of the snow initially will be 6 + 12 = 18 inches
So let’s write the equation;
S = 18 - 1.5t
Where S is the depth of the snow after a particular number of hours t
You need to do 2y+y+10+50=180. Then you'd combine like terms to make 3y+60=180 then to get rid of the sixty subtract it from 180 to make 3y=120 then divide by three to get y by itself so 120 divided by three is 40 which makes y whisk forty. Hope this helped.
You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.
Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions
Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions
x+y=24
Subtract y from both sides
x=24-y
Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14
Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
x=10
So there are 10 three point questions
There are 14 five point questions.
Hope this helped! :)
Answer:
A) Swing arcs on both sides to intersect the first two arcs created.
Step-by-step explanation:
Bisecting a segment is cutting a line into two equal parts with a line bisector.
The steps involved are;
- Placing a compass on one endpoint
- Opening the compass to a width larger than half of the segment
- Swinging an arc on either side of the segment
- While maintaining the same width, place the compass on the other endpoint
- Swing arcs on both sides of the segment to intersect the first two arcs created
- Using a ruler placed at the points of intersection of the arcs, draw the line bisector.
Sasha was now at step four.
Answer:
Using the charasteristics of a parallelogram, the length of line segment MX is 8 in (Third option).
Step-by-step explanation:
In parallelogram WXYZ:
WY=12 in., this is a diagonal in the parallelogram
XZ=16 in., this is the other diagonal in the parallelogram
WX=10 in., this is one of the sides of the parallelogram
XY=9 in., this is the other side of the parallelogram
MX=? this segment is between the vertex X and the point of intersection of the diagonals
In a parallelogram the diagonals intersect (point M) dividing them in equal parts each other, then:
MX=MZ=XZ/2
MX=MZ=(16 in.)/2
MX=MZ=8 in.
