Mrs. Konings likes to eat Nerds (the candy, not her people). There are 1,000 Nerds in the box. The amount of Nerds left in the box decreases by a third each time she dumps out a portion. Let x represent the number of portions Mrs. Konings has taken and y represent the number of Nerds left in the box. Write an equation that represents the solution.
Answers
Answer:
x=499.83
y=500.16
Step-by-step explanation:
We can solve this problem with a system of equations:
The total quantity of Nerds in the box:
(1)
The amount of Nerds left in the box:
The number of portions Mrs. Konings has taken:
The amount of Nerds left in the box decreases by a third each time she dumps out a portion:
(2)
Substituting (2) in (1):
(3) This is the equation
Let's find :
(4)
Now let's find by substituting (4) in (2):
(5)
Answer:
she's my math teacher haha
Step-by-step explanation: :)
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Quadrilateral ABCD is a kite. A kite. Angle A is 90 degrees, angle B is unknown, angle C is 130 degrees, angle D is unknown. What is the measure of angle B? degrees
Answers
4
a +
1
3
a + 8 = 22
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
a=14/27
Decimal Form:
a=0.¯¯¯¯¯¯518
Step-by-step explanation:
b) What is the common ratio of the geometric progression?
c) What will Jean-Claude's gnome be worth after 10 years?
d) It will take k years for the value of Jean-Claude's gnome to exceed £120,000. Find k.
Answers
Answer:
Step-by-step explanation:
a ) The worth of Jean-Claude's gnome after 1 year
= 80000 x 1.02
= £81600
b ) common ratio of geometric progression
= 81600 / 80000
= 1.02
c ) worth after 10 years
= 80000 x 1.02¹⁰
= 80000 x 1.21899
= £97519.55
d )
120000 = 80000 x
1.5 =
ln1.5 = k ln 1.02
k = ln 1.5 / ln 1.02
= .4054 / .0198
= 20.47 years .
Answers
Answer:
the s is 4 and r is -3 and the other angle is 2
Step-by-step explanation:
if this right good but if it not i tried
Answer:
The length of RS is 5 units.
Step-by-step explanation:
Answers
3(x-2)²-2(x-1)
=3(x²-4x+4)-2(x-1)
=3x²-12x+12-2x+2
=3x²-14x+14
Answer: 3x²-14x+14
-12
0
1
8
Answers
======================================
Evaluate:
=
=
=
or
=
=
=
------------------------------------------
So, -12 is the answer.