Answer:
each bottle of juice costs $2.44
Step-by-step explanation:
x=bottle of juice
2.13+3x=9.45
subtract 2.13 from each side and get 3x=7.32
divide both sides by 3
and get x=2.44
Find a common denominator
7/10 + 5/10
= 12/10
mixed number is 1 1/5
Option( c ) is the correct one.
-2x +y= -3
x= (3+y)/2
By executing the value in second equation
{-(3+y)/2} +2y =3
( -3-y +4y)/2 =3
-3 +3y =6
3y = 9
y = 3
Again by substituting the value of y in any of the equation
-2x +y =-3
-2x =-6
x= 3.
Answer:
Susanna bought 3 pounds of candies and 5 pounds of mixed nuts
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Step-by-step explanation:
Represent Nuts with N and Candies with C
For Amount:
For Weights:
Required
Solve for N and C
Make N the subject in the second equation
Substitute 8 - C for N in the first equation.
Solve for C
Recall that:
<em>Hence, Susanna bought 3 pounds of candies and 5 pounds of mixed nuts</em>
Answer:
The ball will be able to reach the 16 ft.
Step-by-step explanation:
In order to calculate if the ball will be able to reach that height, we must make "h" equal to 16, if there's a real positive solution, then the ball will be able to reach it.
16 = -16t² + 35t
16t² - 35t + 16 = 0
t = [-(-35) +- sqrt((-35)² - 4*16*16)]/(2*16)
t = [35 +- sqrt(1225 - 1024)]/32
t = [35 +- sqrt(201)]/32
t = (35 +- 14.177)/32
t1 = 0.65071875
t2 = 1.5367
The ball will reach that height at 0.65 s and 1.53 s.