Answer:
$133
Step-by-step explanation:
Let x = amount of money she had before she spent any money.
x - 29 - 29 - 29 - 15 = 31
x - 102 = 31
x = 133
Answer: She had $133.
Answer:
#5 -1.75, 2.5, -0.2
#6 3 1/2, 2 1/4, -1/2
Step-by-step explanation:
Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)
Answer:
number 10
dy/dx =(dy/dt).(dt/dx)
now find
dy/dt=4t-1. , dt/dx=1
so : dy/dx=(4t-1).(1)
dy/dx= 4t-1 ,we have x=t-3-----> t=x+3
subtitute at t
dy/dx= 4(x+3)-1=4x+12-1= 4x+11
Answer:
71 1/4 pans of lasagna
Step-by-step explanation:
4 cans of tomato sauce = 1 pan of lasagna
285 cans of tomato sauce = x pan of lasagna
4 = 1
285 = x
Cross product
4*x = 285*1
4x = 285
x = 285/4
x = 71 1/4 pans of lasagna
Answer:
acute base angle = 74° , obtuse base angle = 106°
Step-by-step explanation:
Since the large triangle is isosceles with vertex angle (top angle) is 32, then the bottom 2 angles would be same (let it be x):
We know angles of triangle add up to 180, so we have:
x + x + 32 = 180
2x = 180 - 32
2x = 148
x = 148/2
x = 74
This 74 degree angle is the base acute angle of the isosceles trapezoid (lower portion). We also know opposite angles of isosceles trapezoid are supplementary (add up to 180), thus
obtuse angle + 74 = 180
obtuse angle (base) = 180 - 74 = 106
Thus, acute base angle = 74° , obtuse base angle = 106°
