Answer:
Ron has 15 nickels and 9 quarters
Step-by-step explanation:
Create a system of equations where n is the number of nickels and q is the number of quarters he has:
n + q = 24
0.05n + 0.25q = 3
Solve by elimination by multiplying the top equation by -0.25
-0.25n - 0.25q = -6
0.05n + 0.25q = 3
Add them together and solve for n:
-0.2n = -3
n = 15
So, Ron has 15 nickels. Find how many quarters he has by subtracting 15 from 24:
24 - 15
= 9
So, Ron has 15 nickels and 9 quarters.
Find the circumference and the area of a circle
with the dimensions listed. Use the value 3.14 for π
,and do not round your answers. Be sure to
include the correct units in your answers.
a) diameter of 3 cm
b) radius of 5 ft
Step-by-step explanation:
Circumference
C = 3.14x3
C = 9.42cm
Area
A = 3.14xr²
A = 3.14x25
A = 78.5ft
To the nearest tenth of a centimeter what is the length of side ab
The length of side AB in the given triangle is 22.6. The correct option is the first option 22.6
Calculating the side length of a triangleFrom the question, we are to determine the length of side AB in the given triangle.
Using the law of sines, we can write that
AB/sinC = BC/sinA
From the diagram,
C = 50°
BC = 19
A = 40°
Thus,
AB/sin50° = 19/sin40°
AB = (19 × sin50°) / sin40°
AB = 22.6433
AB ≈ 22.6
Hence, the length is 22.6
Learn more on Calculating the length of a side of a triangle here: https://brainly.com/question/24138896
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6 x (36÷12)2 + 8 = =
6*(36/12)2+8
=44
Hope this helped :T
Answer: 44
Step-by-step explanation: PEMDAS tells us to solve what’s in the parentheses, exponents, then multiply, divide, add, and subtract from left to right.
Use the figure below to answer the question. What is the measure of ∠ABC? *
Answer:
D 98°
Step-by-step explanation:
180-82 = 98 or the long way
3x+5 = 180-82
3x = 93
x = 31
3(31) + 5 = 98
Which vector below goes from (0,0) to (2,2)?
A. c
B. a
C. b
D. d
Answer:
i say it's A.c
I hope it helped
Kalani has these monthly liabilities: rent $879, car payment $315, credit card payment $102. She has an annual
income of $96,448. What is her debt-to-Income ratio, expressed as a percent?
Answer:
1.34%
Step-by-step explanation:
Given data
Rent =$879
Car payment =$315
Credit card payment= $102
Annual Income= $96,448
In all the debt is
=879+315+102
=$1296
Hence the debt to income ratio is
=1296/96,448
=0.0134
As percent
=0.0134*100
=1.34%
if x square plus 9 equal to 25,what is the positive value of x.
Answer:
4
Step-by-step explanation:
25 - 9 = 16
4^2 = 16
4^2 + 9 = 25
Find the area of the shaded region and choose the appropriate result.
Answer:
B) 12 cm²
Step-by-step explanation:
find area of shaded region, which is 4x4, or 16 cm² then subtract out the area of the unshaded region, which is 2x2, or 4 cm²; you get 12 cm²
2) Eileen wants to borrow $40,000 to buy a new car. I She is willing to make monthly payments for 5 years. The Metro Bank offers her a loan of $40,000 for five years; the rate of interest is 6% compounded monthly. If Eileen chooses to borrow the money,
a) how much total interest will she pay?
b) how much simple interest will she pay?
c) how much compound interest will she pay?
Answer:
BLM
Step-by-step explanation:
ANSWER IMMEDIATELY! GIVING BRAINLIEST !!
Answer:
B.
Hope It help
Step-by-step explanation:
Brainliest p please
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Suppose that one person in 10,000 people has a rare genetic disease. There is an excellent test for the disease; 99.6% of people with the disease test positive and only 0.05% who do not have the disease test positive. What is the probability that someone who tests positive has the genetic disease
Answer:
The probability that someone who tests positive has the genetic disease is approximately 0.166 or 16.6% who tests positive actually has the disease
Step-by-step explanation:
The number of persons in 10,000 people that have the disease = One
The percentage of people with the disease that test positive = 99.6%
The percentage of people who do not have the disease test positive = 0.05%
The probability that someone who tests positive has the genetic disease
[tex]P(disease | positive) = \dfrac{P(disease) \cdot P(positive | disease)}{P(disease) \cdot P(positive | disease) + P(nodisease) \cdot P(positive | nodisease)}[/tex]
P(disease) = 0.01% = 0.0001
P(positive disease) = 99.6% = 0.996
P(nodisease) = (10,000,000 - 100)/10,000,000 = 99.99% = 0.9999
P(positivenodisease) = 0.05% = 0.0005
Whereby 10,000,000 people are tested, 1000 out of the 1,000,000 will have the disease, 1,000 - 0.996 × 1000 = 4 people out of the 1,000 will test negative while 996 will test positive. From the 9,999,000 people who do not have the disease, 9,999,000 × 0.0005 = 4999.5 will give positive test results.
Therefore, the total number of people that tests positive = 4,999.5 + 996 = 5,995.5
Therefore, out of the 5,995.5 that test positive for the disease, 996 will test positive
The probability that someone who tests positive has the genetic disease, P(disease positive) = 996/5,995.5 ≈ 0.166 or 16.6%
Therefore, approximately 16.6% of the people that test positive for the disease actually has the disease
We have;
[tex]P(disease | positive) = \dfrac{0.0001 \times 0.996}{0.0001 \times 0.996 + 0.9999 \times 0.0005} = 0.16612459344[/tex]
Calculate the standard deviation of X for the probability distribution. (Round your answer to two decimal places.)
x 0 1 2 3
P(X = x) 0.1 0.5 0.1 0.3
Answer:
The standard deviation of the probability distribution is 1.02.
Step-by-step explanation:
Standard deviation of the distribution:
Square root of the sum of the difference squared between each value and the mean multiplied by its probability.
Mean:
Each value multiplied by its probability. So
[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]
The standard deviation of the probability distribution is 1.02.
3. *
1 point
3. What is the solution to this equation?
45.98 = 18.78 + 2x
64.76
32.38
27.2
13.6
Answer:
the answer is 13.6
Step-by-step explanation:
minus 18.78 on both sides
then divide by 2
Help me pleas I need help to solv this problem
Answer:
(name) has a pizza. (name) steals (a fracton) of the pizza. How much pizza is left?
Step-by-step explanation:
What is the radian measure of an angle of 75º?
HELP ASAP ILL GIVE BRAINLESS PLEASE HELP
Question 16 (Fill-In-The-Blank Worth 1 points)
(07.04 LC)
The solution to 15x = 30 is x=_- (Only input the number.)
Numerical Answers Expected!
Answer for Blank 1.
Answer:
X = 2
Step-by-step explanation:
15X = 30
so
X = 30/15
X = 2
Answer:
The correct answer is x=2, so enter a "2" in the box. Hope this helps!
find x
help please, asap.
Answer:
X=58 degrees
Step-by-step explanation:
So We can start by finding the angle thats supplementary to 109.
Well 109 and another unknown angle (which will be Y for this scenario) would form a straight line which is 180 degrees.
109+y=180
Solve that by isolating the y and you would get 71 as the missing side.
Now we have 2 sides, 71 and 51. We’re trying to find x or the angle vertical to the thrid interior angle of the triangle.
Vertical is basically equal so we really just gotta find the third side. A triangle is equal to 180 degrees and if you add em up.
71+51+x=180
Combine like terms
122+x=180
Isolate the X
x=58
So x is 58 degrees.
Answer:
x = 180 - 51 - 71 = 58°
Find the perimeter and area of the rectangle.
20 ft
7 ft
The perimeter is
ft and the area is
Answer:
Area is 140 ft2
perimeter is 54 ft
Answer:
54 and 140
Step-by-step explanation:
If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.
The area is 140, because if you multiply 20 by 7, thn you get 140.
Hope that this helps!
Please, Answer is needed.
Answer:
540 mins | 9 hours | 540, 9
420 mins | 7 hours | 420, 7
300 mins | 5 hours | 300, 5
180 mins | 3 hours | 180, 3
Step-by-step explanation:
1 hour = 60 mins
To convert hours into minutes, multiply the number of hours by 60 minutes:
9 hours × 60 mins = 540 mins
7 hours × 60 mins = 420 mins
5 hours × 60 mins = 300 mins
3 hours × 60 mins = 180 mins
Answer:
9 540, 540,9
7 420 420,7
5 300 300,5
3 180 180,3
Step-by-step explanation:
There is 60 in one hour
9 *60 540, 540,9
7 *60 420 420,7
5 *60 300 300,5
3 *60 180 180,3
Hope that helps
your closet floor is 90 inches wide and 3 times as long what is the perimeter and area of your closet floor
Answer: 270
Step-by-step explanation:
90x3=270
Answer:
I mean
Step-by-step explanation:
Just multiply 90 by 3 since it says that it's THREE times as long. Btw you would get 270! So this should help! Well I guess you have to add another 90 to get the area of the closet. Don't quote me on that.
A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7x^2-420x+81,610. How many cars must be made to minimize the unit cost? Do not round your answer.
Answer:
300 cars must be made to minimize the unit cost
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
The cost of producing x cars is given by:
[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]
So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]
How many cars must be made to minimize the unit cost?
This is the xvalue of the vertex. So
[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]
300 cars must be made to minimize the unit cost
what should be added to 3/4+-5/6+1/2 to get 0
Answer:
-5/12
Step-by-step explanation:
3/4+-5/6+1/2 = 5/12
5/12 - 5/15 = 0
what is the answer to
2 1/2 x 1 2/5
Answer:
3.5
Step-by-step explanation:
Answer:
3 1/2 3.5 as a decimal
Step-by-step explanation:
Please help!!
Find the coordinates of the vertex of the following parabola algebraically. Write your
answer as an (x, y) point.
y = 4x + 56x + 192
Answer:
The vertex of the parabola = (-7 , -4)
Step-by-step explanation:
Step(i):-
Given that the parabola y = 4 x² + 56 x +192
y = 4 (x² + 14 x + 48 )
y = 4 ( x² + 2 × 7 (x) + 49-1)
y = 4 ( x² + 2 × 7 (x) + 49)- 4
we apply the formula
(a +b)² = a² + 2ab + b²
y = 4 ( x + 7 )² - 4
Step(ii):-
The general form of the parabola in algebraically
y = a ( x-h)² +k
The equation
y = 4 ( x + 7 )² - 4
y = 4 ( x-(-7))² - 4
The vertex of the parabola (h,k) = (-7 , -4)
Final answer:-
The vertex of the parabola = (-7 , -4)
A spinner is divided into equal sections, each labeled with a number between one and five. Over the course of 150 spins, what is the best estimate of how many times you would expect that the hand of the spinner will stop on a 3?
Find the value of ((2 + 3)2 + (10 + 2)2)
Answer:
34
Step-by-step explanation:
parenthesis get done first!
((5)2+(12)2)
then multiplication
(10+24)
then addition
34
Answer:
5+12+4 =21
Step-by-step explanation:
21 is the answer I think
What is a cubic polynomial function with zeros -13, -2, and 7?
Answer: x^3+8x^2-79x-182
Step-by-step explanation:
(x+13)(x+2)(x-7)=x^3+8x^2-79x-182
You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction
Answer:
1/4 or 25%
Step-by-step explanation:
The probability for rolling an odd number is 50% or [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]
The probability for rolling two odd numbers in a row is
[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]
So, the probability of rolling an odd number twice is 25% or [tex]\frac{1}{4}[/tex].
Express log6 (15) in terms of common logarithms *no file answers*
Questions and answers attached
Answer:
(3)(c) + 43 ≥ 100
Step-by-step explanation:
Given:
Total number of friends = 3 friends
Number of card already have = 43
Total number of card at least want to collect = 100
Find:
Inequality
Computation:
Assume;
Same number of card each friend collect = c
Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have
Total number of card at least want to collect ≤ (3)(c) + 43
100 ≤ (3)(c) + 43
(3)(c) + 43 ≥ 100