Conrad has a collection of three types of coins: nickels,dimes,and quarters.There are five more nickels than quarters but four times as many dimes as quarters.If the entire collection is worth $5.85,how many nickels,dimes,and quarters are there?
Answers
d=number of dimes
q=number of quarters
use cents for everything
total value=585
5n+10d+25q=585
divide everybody by 5 to simplify
n+2d+5q=117
we have
nicles are 5 more than quarters
n=5+q
4 times as many dimes as quarters
d=4 times q
d=4q
sub those in
5+q+2(4q)+5q=117
5+6q+8q=117
5+14q=117
minus 5
14q=112
q=8
sub back
n=5+q
n=5+8
n=13
d=4q
d=4(8)
d=32
13 nickles
32 dimes
8 quarters
divide both sides by 22
Related Questions
30 POINTS!!!!6. Use the graph of f (x) to find the solutions to the equation f (x) =0 See photo
Find an equation for the line with the given properties.Parallel to the line x = -5; containing the point (6, 2)
Simplify the expression.|18 – 6|
Find the two possible factors for the estimated product 1,600
Answers
The measures of ∠ L and ∠ M are 180 degrees - x and 132 degrees - x, respectively.
Since the interior angles of a triangle add up to 180 degrees, we have the following equation:
x + x + L + M = 180 degrees
We also know that the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. Therefore, we have the following equation:
L = x + 48 degrees
We can substitute this equation into the first equation to get:
x + x + x + 48 degrees + M = 180 degrees
Combining like terms, we get:
3x + 48 degrees + M = 180 degrees
Subtracting 48 degrees from both sides, we get:
3x + M = 132 degrees
Subtracting x from both sides, we get:
2x + M = 132 degrees - x
We can now substitute this equation into the equation L = x + 48 degrees to get:
L = (132 degrees - x) + 48 degrees
L = 180 degrees - x
Therefore, the measures of ∠ L and ∠ M are 180 degrees - x and 132 degrees - x, respectively.
For such more question on degrees
#SPJ6
Final answer:
In triangle LMN, both angle L and angle M are 24 degrees, calculated using the property of exterior angles in triangles.
Explanation:
From your question, it seems like we're dealing with an issue of triangle geometry and exterior angles in particular. In a triangle, the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles. This means, in triangle LMN, angle ONP (which is 48 degrees) equals to the sum of angle NLM (which is x) and angle LMN (also x).
Therefore, we can make the equation as 2x = 48, where 2x accounts for angles NLM(x) and LMN(x). Solving this equation gives us x = 24. Hence, ∠L (or NLM) = 24 degrees and ∠M (or LMN) = 24 degrees.
Learn more about Triangle Geometry here:
#SPJ12
Answers
Answer:
(27x3+9x2-3x-10)/(3x-2)
Final result :
9x2 + 9x + 5
Step by step solution :
Step 1 :
Equation at the end of step 1 :
Step 2 :
Equation at the end of step 2 :
Step 3 :
27x3 + 9x2 - 3x - 10
Simplify ————————————————————
3x - 2
Checking for a perfect cube :
3.1 27x3 + 9x2 - 3x - 10 is not a perfect cube
Answers
hopes this helps :) :D :)
Answers
Answer:
The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as its given event, resulting in 2/10 for a probability. P(D|A) has event A as its given event, resulting in 2/8 for a probability.
Other part is:
different given events
P(A|D) equals 2/10
P(D|A) equals 2/8
7/10+6/100= how do solve this problem
Answers
10 x 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
100 x 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000. which is the lowest and common? 100
7/10 /100 how many times can 10 go into 100? 10 times. so we will multiply 10 time the numerator which is 7, and now will be 70/100
6/100 /100 how many times can 100 go into 100? 1 time. so we will multiply 1 time the numerator 6 which equals 6. 6/100
now add the new fractions. 70/100 + 6/100 = 76/100
Answers
Answer:
100 squirrels/km^2
Step-by-step explanation:
we know that
To find the population density of the squirrels in the ecosystem, divided the quantity of population of squirrels by the area of the ecosystem
so
1,000/10=100 squirrels/km^2