Answer:
Total tape used by marge is 6 inches .
Step-by-step explanation:
As given
marge cut 16 pieces of tape for mounting pictures on poster board.
Total tape marge uses = Number of pieces × Each piece length
Total tape marge uses = 2 × 3
= 6 inches
Therefore the total tape used by marge is 6 inches .
Answer:
15 years old
Step-by-step explanation:
Start by defining the variables that we are going to use throughout our working:
Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.
Next, form equations using the given information.
<u>5 years </u><u>ago</u>
Wei Ling: (L -5) years old
Wei Xuan: (X -5) years old
Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,
Cross multiply:
2(X -5)= 5(L -5)
Expand:
2X -10= 5L -25
2X= 5L -25 +10
2X= 5L -15 -----(1)
<u>9 years time</u>
Wei Ling: (L +9) years old
Wei Xuan: (X +9) years old
Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,
Cross multiply:
3(X +9)= 4(L +9)
Expand:
3X +27= 4L +36
3X= 4L +36 -27
3X= 4L +9 -----(2)
Let's solve using the elimination method.
(1) ×3:
6X= 15L -45 -----(3)
(2) ×2:
6X= 8L +18 -----(4)
(3) -(4):
6X -6X= 15L -45 -(8L +18)
0= 15L -45 -8L -18
0= 7L -63
7L= 63
L= 63 ÷7
L= 9
Substitute L= 9 into (1):
2X= 5(9) -15
2X= 45 -15
2X= 30
X= 30 ÷2
X= 15
Thus, Wei Xuan is 15 years old now.
Answer:
2/5
Step-by-step explanation:
First by looking, you have a slope going upward to the right so it is a positive slope.
Two points on the line that seem to go directly through the grid at the intersection points are ( -60, -90) and ( 40, -50).
Slope is Rise (y axis) over the Run (x axis). The numbers above have x first and y second.
So the rise is the total distance between -90 and -50 which is 40.
The run is the total distance between 40 and -60 which is a total of 100.
It takes 40 units to get back to the 0 mark on the x axis and the another 60 units to get to the -60 point.
So you slop is 40/100. You can simplify this down to 4/10 or even further to give you 2/5.
Answer:
The equation is
X²+2x-48 = 0
Shorter one is 6 inches
Other side= 8 inches
Step-by-step explanation:
The equation for a right angle triangle normally is
A² = B² + C²
Where A = hypotenuse
Then B and C are the order sides of the triangle.
This time
Hypotenuse= 10 inches
The shorter one is X
While the other one is X+2
The equation
10²= x² +(x+2)²
100= x² + x² + 4x +4
100 - 4 = 2x² +4x
96= 2x² +4x
48 = x² +2x
X²+2x-48 = 0
Solving for x
X² +8x-6x-48= 0
X(x+8)-6(x+8)=0
(X-6)(x+8)= 0
X= 6 or x= -8
Definitely x is posiy
So x= 6
Shorter one is 6 inches
Other side= 6+2= 8 inches
Answer:
B' = (-8,-1) , C' = (4, 5)
Step-by-step explanation:
The coordinates of A are (-5,-7)
The coordinates of C are 3 units to the right and 4 up from A.
So for a dilation factor 3 C' will be 9 to the right and 12 up from A.
C' = (-5 + 9) , (-7 + 12)
= (4, 5).
The point B is 1 unit to left and 2 up from A.
So B' is (-5 -3) , (-7+ 6)
= (-8, -1).
