To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x? 2x − 4y = 6 −3x + 3y = 12
To eliminate the y-variable in the given system of equations and find the value of x, you can multiply the first equation by 3 and the second equation by 4 to make the coefficients of y equal. Then, add the two equations together to eliminate the y-variable. Finally, solve for x.
Explanation:To eliminate the y-variable and find the value of x in the given system of equations, we can multiply the first equation by 3 and the second equation by 4 to make the coefficients of y in both equations equal. This will allow us to eliminate the y-variable when we subtract the two equations.
Multiplying the first equation by 3, we get: 6x - 12y = 18
Multiplying the second equation by 4, we get: -12x + 12y = 48
Now, we can add the two equations together, and the y-variable will cancel out: (6x - 12y) + (-12x + 12y) = 18 + 48
Simplifying, we have: -6x = 66
Dividing both sides by -6, we find: x = -11
Therefore, the value of x is -11.
Final answer:
To eliminate the y-variable and find the value of x in the system of equations, we can use the method of elimination. We can multiply the equations by coefficients to create opposite coefficients for the y-terms, which will cancel each other out when added together. The resulting equation can then be solved to find the value of x.
Explanation:
To eliminate the y-variable and find the value of x, we can use the method of elimination. In this case, we need to multiply the two equations by coefficients that will create opposite coefficients for the y-terms so that they will cancel each other out when added together. Let's multiply the first equation by 3 and the second equation by 4:
6x - 12y = 18
-12x + 12y = 48
Adding these two equations eliminates the y-variable:
-6x = 66
Solving for x, we divide both sides by -6:
x = -11
I really need help with these problems
A: Jennifer surveyed her classmates recording gender, whether or not they had siblings, and if they liked school. Which two-way table displays the gender and if they have any siblings?
Evaluate the expression. If necessary, round to the nearest hundredth. log 4 64
What is the answer for 6
What is the square roots of 144/256?
-9/16 and 9/16
-12/16 and 12/16
-12/18 and 12/18
-72/128 and 72/128
joel made some muffins. he gave 1/4 of the muffins to a neighbor. he took 3/8 of the muffins to school. what fraction of the muffins is left
Pierce used the proportion y/x=7/2 when deriving the equation of a line with similar triangles.select 2 that apply and explain
a.the slope of line is 0
b.the slope of line is 2/7
c.the slope of line is 7/2
d. the y int is 0
e.the y int is 2/7 f the y int is 7/2 and again explain plz
A spinner is spun 120 times and stops on blue 32 times. Calculate the experimental probability of the spinner stopping on blue.
the probability of a chance event is close to 0. which statement about the event is true/ (A) the event is likely to occur (B) the event has the same chance of occuring or not occuring (C) the event is unlikely to occur (D) the event is definately not going to occur
URGENT WORTH 20 POINTS
What is the best equation for the line of best fit for the data set?
yˆ=−3x+15
yˆ=−13x+15
yˆ=−3x+2
yˆ=−13x+2
Cassandra wants to solve the Quetion 30 equals 2/5 Pete. What operation should she perform to isolate the variable
80 men and 60 women are enrolled in calculus. There are 40 business majors, 30 biology majors, 15 computer science majors, and 5 mathematics majors. No person has double major. If a single calculus student is chosen, find the following probabilities
The probability of selecting a male calculus student is approximately 57.14%, a female calculus student is approximately 42.86%, a business major calculus student is approximately 28.57%, a biology major calculus student is approximately 21.43%, a computer science major calculus student is approximately 10.71%, and a mathematics major calculus student is approximately 3.57%.
To find the probabilities, we will use the formula:
Probability of an event = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability of selecting a male calculus student:
There are 80 male students in calculus, so the probability of choosing a male student is:
Probability (Male) = 80 / (80 + 60) = 80 / 140 ≈ 0.5714 or 57.14%
Probability of selecting a female calculus student:
There are 60 female students in calculus, so the probability of choosing a female student is:
Probability (Female) = 60 / (80 + 60) = 60 / 140 ≈ 0.4286 or 42.86%
Probability of selecting a business major calculus student:
There are 40 business majors in calculus, so the probability of choosing a business major student is:
Probability (Business Major) = 40 / 140 ≈ 0.2857 or 28.57%
Probability of selecting a biology major calculus student:
There are 30 biology majors in calculus, so the probability of choosing a biology major student is:
Probability (Biology Major) = 30 / 140 ≈ 0.2143 or 21.43%
Probability of selecting a computer science major calculus student:
There are 15 computer science majors in calculus, so the probability of choosing a computer science major student is:
Probability (Computer Science Major) = 15 / 140 ≈ 0.1071 or 10.71%
Probability of selecting a mathematics major calculus student:
There are 5 mathematics majors in calculus, so the probability of choosing a mathematics major student is:
Probability (Mathematics Major) = 5 / 140 ≈ 0.0357 or 3.57%
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What plus what plus what equal 823
What are the roots of the quadratic equation X² + 4X + 4. How many roots are there.
if you flip a coin ten times, how many diffrent sequences of heads and tails are possible
Answer:
I'm pretty sure its D
Step-by-step explanation: Brainliest???
The probability of a certain hockey player making a goal after hitting a slap shot is 1/5. How many successful slap shot would you expect her to make after 120 attempts?
-5
-20
-24
-60
I need help with Getting the answer! Help please!
We know that the probability of a certain hockey player making a goal after hitting a slap shot is [tex]\frac{1}{5}[/tex].
We need to figure out the number of successful slap shots if she makes 120 attempts?
Since the player is able to make a goal once out of 5 attempts. Therefore, in order to find the number of goals that we can expect the player to make successfully if she attempts 120 slap shots we will multiply the probability with 120.
Number of successful goals = (Probability of making one goal)x(Number of attempts)
Number of successful goals = [tex]\frac{1}{5}\times 120 = 24[/tex].
Therefore, player will be able to make 24 goals out of 120 attempts.
Billy left home at 9:00 a.m. and rode his bike to the park at an average speed of 10mph. He arrived at the park at 9:30. How many miles from the park is Billy’s house.
The solution is:
Park is 5 miles from Billy's home.
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
Given:
Billy left home at 9 a.m. And rode his bicycle to the park at an average speed of 10 miles per hour here and got the park at 9:30 a.m.
Now, to find the distance from park to Billy,s home.
Time it took Billy to rode his bicycle from park to home is from 9.30 a.m to 9.30 p.m.
So, the time = (9.30 - 9.00) = 30 minutes
Speed = 10 miles per hour.
Now, to get the distance from park to Billy's home we put formula:
Speed = Distance/ Time.
so, we get,
Distance = 10 * 0.5
= 5
Therefore, park is 5 miles from Billy's home.
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the larger of two numbers is eight more than the smaller number. their sum is twenty-two. find the number
just say answer, no need to explain! THANKSSS!
Plz help
A cheetah runs at a speed of 50 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?
A.t=50d
B.d=50 + t
C.d=50t
D.t=50 +d
The stem and leaf plot below shows the number of points scored in each basketball game a team played during a season in how many games were more than 40 points scored?
|Stem | Leaf|
| 6 | 1 6 7|
| 5 |2 2 8|
| 4 |4 5 8 9|
| 3 |0 2 6 6 6|
| 2 | 0 8 |
A. 4
B. 6
C. 7
D. 10
Answer : D 10
The stem and leaf plot below shows the number of points scored in each basketball game a team played during a season
From the stem and leaf plot , We have 4 leaf for the stem 4
so the scores are 44, 45, 48, 49
Question says more than 40 points scored. so we consider stem 5 and 6 as well
61, 66, 67
5 2, 52, 58
So total 10 scores
There were 10 games in which the basketball team scored more than 40 points.
The stem and leaf plot provided shows the scores of a basketball team across different games. To find out in how many games more than 40 points were scored, we should look for leaves attached to stems of '4' or higher, since the stems represent the 'tens' place and the leaves represent the 'ones' place in a score.
In the stem '4', we have leaves '4', '5', '8', and '9', which correspond to the scores 44, 45, 48, and 49, respectively. Moving up to the stem '5', we have leaves '2', '2', and '8', which translate to the scores 52, 52, and 58. Finally, the stem '6' with leaves '1', '6', and '7' represents the scores 61, 66, and 67.
Adding all the games with scores over 40 points together, we get a total of 4 (from the '4' stem) + 3 (from the '5' stem) + 3 (from the '6' stem) = 10 games.
At the end of 2005, the national debt of the U.S. was about 10^12 dollars, and the population of the U.S. was about 10^8. About how much was the per capita ( per person ) debt?
Elaina ran 2.52 miles on Monday, 4.53 miles on Wednesday, and 3.45 miles on Saturday. What percent of the total miles did Elaina run on Monday?
To calculate the percent of total miles Elaina ran on Monday, add her running totals, find the fraction for Monday, and convert it to a percentage. Elaina ran 24% of her total weekly miles on Monday.
To determine what percent of the total miles Elaina ran on Monday, we first need to calculate the total number of miles she ran for the week. Then, we'll find out what fraction represents Monday's run in relation to the total, and finally convert that fraction to a percentage.
First, we sum up the miles:
Monday: 2.52 milesWednesday: 4.53 milesSaturday: 3.45 milesTotal miles = 2.52 + 4.53 + 3.45
Total miles = 10.50 miles
Next, we determine what fraction of the total distance was run on Monday:
Monday's fraction = Monday's miles / Total miles = 2.52 / 10.50
Finally, we convert this fraction to a percentage:
Monday's percentage = (Monday's fraction) x 100 = (2.52 / 10.50) x 100
Monday's percentage = 24% (rounded to the nearest whole percent)
Thus, Elaina ran 24 percent of her total weekly mileage on Monday.
A number x is greater than o
PLEASE HELP! LAST QUESTIONS! I NEED AN 80% OR ABOVE TO PASS PLEASE HELP!
The circle graph below shows the percentages of Mrs. Frederick’s monthly budget for July. Her total monthly income is $2,800.
Pie Chart Below
In August’s monthly budget, Mrs. Frederick spent $126 more on clothes than she did in July. In August, what percentage of her monthly income of $2,800 was spent on clothes?
A 15%
B 12.5%
C 11.5%
D 10%
The Hernandez family has a monthly income of $4,500. The Thomas family has a monthly income of $3,200. The two circle graphs show the monthly budgets of two families.
pie charts below
Which statement is supported by the data in the two graphs?
A The Thomas family spends more dollars each month on transportation than the Hernandez family does.
B The Hernandez family spends more dollars each month on food than the Thomas family does.
C Both families spend more dollars on “other” than on transportation.
D Both families spend the same amount of dollars each month on housing.
Hassan deposited $7,500 into a bank account. At the end of 3 years, the account had earned $900 in simple interest. What rate of interest did the account earn per year?
A 2.78%
B 4%
C 8.33%
D 12%
Mr. Wilt prepares some chicken wings for a picnic. The bar graph below shows the number of different types of wings he prepares.
Bar graph below
Based on the bar graph, which of these statements is true?
A Mr. Wilt prepares 2 more plain wings than hot wings.
B Mr. Wilt prepares twice as many plain wings as hot wings.
C Mr. Wilt prepares 2 more barbecue wings than garlic wings.
D Mr. Wilt prepares twice as many barbecue wings as garlic wings.
Which of the following would be best represented by a circle graph?
A the heights of different types of trees
B the number of votes for each of 5 candidates for class president
C theamountofwaterthatfilledasinkafter1,2, 3, and 4 minutes
D the number of hours each student studied compared to their grades on a test
The ages of the members of a volunteer group are shown below. 13, 14, 14, 14, 15, 15, 15, 16, 16, 21, 23 Which box and whisker plot best represents these data?
Data below
A
B
C
D
talia has 2 red,1 blue and 4 green balls of the same size in the bag talia pulls one ball out of the bag without looking what is the probability that talia will pull a red ball out of the bag
the answer is 2/7 there 2 red balls left and 7 balls all together so I am just saying the answer is 2/7 I just took the unit test
please give me the brainless thank you
What is the equation of the following line written in slope-intercept form
Answer:
c, y=-7x-11
Step-by-step explanation:
Please Help ASAP! Would be greatly appreciated.
Solve the system of equations for 7x+2y=16 and -21x-6y=24