Answer:
-9
Step-by-step explanation:
Answer:
Option A: Madison, (1.2,-1.6) is the correct answer.
Step-by-step explanation:
Observing Madison's solution it can be seen that he has used elimination method to solve the system. If elimination method has to be used the first equation has to be multiplied by 4
While Madison has made mistake with sign of one term in equation 1 (he has written -8x instead of 8x)
So <u>Madison's solution is wrong. </u>
Tyler has used the substitution method to solve the system of equations and has done it correctly (Calculated value of y in terms of x from equation 1 and substituted in equation 2)
The value of x=1.2 is correct, we have to find the value of y
So,
Putting the value of x=1.2 we get,
The solution of given system of equations is (1.2,-1.6)
Hence,
Option A: Madison, (1.2,-1.6) is the correct answer.
Answer:
x+7=90 find the value of x
Step-by-step explanation:
Answer:
750ft^3
Step-by-step explanation:
Given:
Volume of cone a=48ft^3
Radius of a=12 inches
Radius of b=30 inches
Volume of cone b=?
The linear state factor=ratio of the radio
=30/12
=2.5
Volume scale factors=linear state factor^3
=2.5^3
=15.625
Volume of Cone B= volume of Cone A × volume scale factor
=48 × 15.625
= 750 ft^3
Make a system of equations:
0.10x + 0.25y = 3.95
x + y = 23
x + y = 23
Subtract 'y' to both sides:
x = -y + 23
Plug in -y + 23 for 'x' in the first equation:
0.10(-y + 23) + 0.25y = 3.95
Distribute 0.10:
-0.10y + 2.3 + 0.25y = 3.95
Subtract 2.3 to both sides:
-0.10y + 0.25y = 1.65
Combine like terms:
0.15y = 1.65
Divide 0.15 to both sides:
y = 11
Plug this into any of the two equations to find 'x':
x + y = 23
x + 11 = 23
Subtract 11 to both sides:
x = 12
So Sally has 11 dimes and 12 quarters.