Answers
Step by step explanation:
x + 2y = 4
2x - 2y = 5
Adding the 2 equations eliminates the y:
3x = 9
x = 3
Substitute for x in the first equation:
3 + 2y = 4
2y = 1
y = 0.5.
Related Questions
At a basketball game, a vender sold a combined total of 161 sodas and hot dogs. The number of sodas sold was 31 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Answers
Answer:
65 hot dogs, 96 sodas
Step-by-step explanation:
x + (x + 31) = 161
2x + 31 = 161
2x = 130
x = 65
65 hotdogs
65 + 31 = 96
96 sodas
Fido ate 52 containers of ice cream in 13 different flavors, with 4 of the container containing each flavor. If the first 5 containers were chosen at random, without replacement, what are the chances that 4 of those containers are the same flavor.
Answers
Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.
The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 52 containers, hence [tex]N = 52[/tex]For each flavor, there are 4 containers, hence [tex]k = 4[/tex]5 containers are chosen, hence [tex]n = 5[/tex]The probability of choosing all containers of one flavors is P(X = 4).
There are 13 containers, hence, the probability is multiplied by 13.[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]
13 x 0.000018469 = 0.0002
0.0002 = 0.02% probability that 4 of those containers are the same flavor.
A similar problem is given at https://brainly.com/question/25743676
The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.
Given :
Fido ate 52 containers of ice cream in 13 different flavors, with 4 containers containing each flavor. The first 5 containers were chosen at random, without replacement.The probability according to the Hypergeometric distribution is given by:
[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex] --- (1)
where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.
Now, substitute the values of known terms in the expression (1).
[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]
[tex]\rm P(X=4) =0.000018469[/tex]
Now, multiply the above result by 13.
[tex]13\times 0.000018469=0.0002[/tex]
So, the probability that 4 of those containers are the same flavor is 0.02%.
For more information, refer to the link given below:
https://brainly.com/question/23017717
hi i need help with this
Answers
Answer:
15 in
Step-by-step explanation:
d^2 = w^2 + l^2
25^2 = 20^2 + l^2
l^2 = 225
l = 15
Solve for X
(10x - 1)=(14x - 37)
Answers
(make them equal to each other)
10x-1 = 14x-37
(combine like terms)
-4x = -36
(divide by -4)
x=9
Hope this helps! Have a good day/night!
Plzzzzz helpmeeeee plzzzzzz
Answers
Help please?!?!??!?!?!!
Answers
Which expression is equivalent to -51 - ( -60 ) ?
A. 51 - 60
B. 60 + 51
C. -60 + ( -51 )
D. -51 + 60
Answers
Answer:
C
Step-by-step explanation:
brainliest pls
27.81 + (-13.97) please help
Answers
Answer:
13.84
Step-by-step explanation:
Answer:
13.84
Step-by-step explanation:
im always here to help...
Emily drove to the ferry office and back. The trip there took four hours and the trip back took six hours. She averaged 20 km/h on the return trip. Find the average speed of the trip there.
Answers
Answer:
on the way there she was going at 25 km/hr
Step-by-step explanation:
Write a quadratic function whose zeros are 2 and -12. 60 Point question Answer ASAP for brainliest!
Answers
Answer:
x^2 + 10x - 24 = 0
Step-by-step explanation:
Two zeros are 2 and -12:
x - 2 = 0x + 12 = 0So the function is (x-2)(x+12) = 0
<=> x^2 + 12x - 2x - 24 = 0
<=> x^2 + 10x - 24 = 0
yen said the additive inverse of 8 is -8 becuase positive 8 and negative 8 added together equals zero do you agree? why or why not
Answers
Answer:
I do agree
Step by Step Explanation:
You can try it out, just draw a number line with positive and negative integers and set your pencil on 8 and go back 8 places since it is -8 and that equals 0.
Geet sells televisions. He earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Geet sells 19 televisions with extended warranties, he earns $1,425. How much is the fixed amount Geet earns for each television?
Answers
Answer:
50 dollars.
Step-by-step explanation:
19 x 25= 475
1,425 - 475= 950
950 divided by 19 is 50.
25x19=475
1425-475=950
950/19=50
Which of these equals 2.427? Select all that apply. A 1.34 + 1.087 B 1.4 + 1.027 C 8.35 - 5.923 - D 6 - 3.573. Please help I'm doing my homework
Answers
Answer:
All of them are equal to 2.427
Step-by-step explanation:
A = 2.427
B = 2.427
C = 2.427
D = 2.427
Find the area of the rhombus
Answers
2 aria rombusului după volum este pq2 cea a unghiului este împărțită cu 2 care este pq=x pătrat
Write the slope-intercept form of the line between the two points.
1. through: (0, 2) and (1, -3)
SI:
Answers
First we need to find slope
M= y2-y1/x2-x1
M= -3-2/1-0
M= -5/1
M= -5
Now using slope intercept form we can solve this equation
Y-y1=m(x-x1)
Y-2=-5(x-0)
Y-2=-5x+0
Y= -5x+2
hope this helps!!
Please tell me if I am incorrect, I enjoy learning from my mistakes:)
pe
Two companies allow you to pay monthly for your food
A charges a one time fee of $150 and $45 per month Company B charges a
one time fee of $125 and $50 per
month
Answers
Answer:
A: 150+(45•p)
B: 125+(50•p)
Step-by-step explanation:
You multiply the monthly fee by a letter representing an unknown number because we dont know how many months you are staying with each company and we add the one time fee because you are only paying once, so in conclusion you add the one time fee to the result of the monthly fee by how many months.
3. A car travels 65 miles in one hour. How many miles would the car travel in / an hour?
HELP ASAP
Answers
Answer:
A good way to know how to solve a problem like this is to look at the units. Here we have miles per hour (65 miles/hour) and hours (5 hours) and we want to find X miles. So take a look at the units:
(Miles/hour) * (hours) = miles
So we can just plug in the values…
65 * 5 = 325
Whenever I get confused by a question like this I always try to remember that the word "per" just means divided by. So mph = miles/hour. And from there the algebra is pretty simple.
Another tip, your physics professor will always be tickled if at the end of your answer you list some of the assumptions you made like this: "assuming the car is traveling at a perfectly constant rate without stopping."
Answer:
65
Step-by-step explanation:
If a car drives 65 miles in an hour, they would travel 65 miles in one hour. The equation for this would be 65x, with x representing the number of hours driven.
frankie earned $43,720 last year. if social security tax is $6.20 tax per $100 earned, then how much social security did they pay last year?
Answers
Answer:
$2,710.64
Step-by-step explanation:
Divide 43,720 by 100 so you know how many groups of 200s you have. Because it's 6.20 for each 100.
437.2
Do 6.20 times 437.2 to get your answer.
$2,710.64
Sara earned 100 points in the first round of a game. She earned 20 points in each of the following rounds of the game. She ended the game with 400 points. Write and solve an equation to find the number of rounds Sara played.
Answers
20x=400-100
20x=300
x= 300/20
15 rounds she played
The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information? *
A the average teacher to student ratio
B the average grade of a 5th grader
C the average number of students in all grades
D the average number of students in all 5th grade classes
Answers
Answer:
D
Step-by-step explanation:
Answer:
D would be the answer:) hope this helps
pls help. will give brainliest :)
Answers
Answer:
its option B
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
A cone has a height of 15 millimeters and a radius of 15 millimeters. What is its volume?
Use a 3.14 and round your answer to the nearest hundredth,
Answers
Answer:
10,597.50 cubic mm
Step-by-step explanation:
V(cone) = [3.14(h)(r²)] ÷ 3
= 3.14(15)(15²) ÷ 3
= 10,597.5
identify the x- and y- intercepts for the line: -3x+3y=27
Answers
Step-by-step explanation:
-3x + 3y = 27
-x + y = 9
y = x + 9
so the y-intercept is 9 (y value when x =0).
and as point (0, 9)
the x-intercept is the x value when y = 0 :
0 = x + 9
x = -9
and as point (-9, 0)
A youth group earns $600 for charity and decides to put it in a bank. Calculate the amount of money the group will have for each scenario.
Part A chase bank pays simple interest at 5% and the group leaves the money for 5 years
part B witney bank pays an interest rate of 4% compounded annually and the group leaves the money for 6 years
Answers
Based on the types of compounding and the interest rates, the following are true:
Part A - The group will have $750Part B - The group will have $759.19When using simple interest, the amount the group will have is:
= Amount x ( 1 + rate x number of years )
= 600 x ( 1 + 5% x 5)
= $750
When using compound interest, the group will have:
= Amount x ( 1 + rate) ^ Number of years
= 600 x ( 1 + 4%)⁶
= $759.19
In conclusion, compound interest yields more.
Find out more about compound interest at https://brainly.com/question/25263325.
5.
Which of the following equations describes the graph?
Answers
Step-by-step explanation:
I've been a substitute for a few day for College students so the answer is y equal s x2-5x+2
I need help please and ty 2 questions in math for a lot of points
Answers
Answer: ok we will help
Step-by-step explanation:
he need our help
You might need: 3 Calculator
2
Find the area of the shape.
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
units?
Answers
Answer:
3.14 or pi
Step-by-step explanation:
the area of a circle = [tex]pi * r^{2}[/tex] where r is the radius of the circle
this is 1/4 of the circle, so it would be 1/4 (pi * r²)
it shows that the radius is 2, so you have
1/4 ( pi * 2²)
= 1/4 ( pi * 4 )
= 1/4 (3.14 * 4)
= 3.14 units²
(ii) A retailer paid Rs 40000 for an article after receiving a discount of 20% the marked price from the manufacturer. He sold the article to the customer at a discount of 10% on the marked price. If the rate of CGST is 6% and the sales are intra state, the price paid by the consumer is
(a) Rs 53760
(b) Rs 50400
(c) Rs 47700
(d) Rs 50880
if the answer is correct with explanation will mark you as BRAINLIST
Answers
Answer:
the answer is C
Step-by-step explanation:
40,000/.80 = 50,000
50,000 x .10 = 5,000
50,000 - 5,000 = 45,000
45,000 x .06 =2700
45,000 + 2,700 = 47,700
: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?
Answers
27/6=4.5
what is 0.1 is 1/10 of what number???
Answers
0.1 of 1/10 is...10.
Answer: 1
Step-by-step explanation:
0.1 is 1/10 of the number 1
Brainliest please? Im trying to get to Virtuoso