Answer:
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x
Thus, option A) is true.
The solution to the system of equations be:
[tex]x = 4, y = 5[/tex]
Step-by-step explanation:
It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.
Given the system of equations
[tex]x - y = -1[/tex]
[tex]2x - y = 3[/tex]
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x
[tex]x-y=-1[/tex]
Add y to both sides
[tex]x-y+y=-1+y[/tex]
[tex]x=-1+y[/tex]
Thus, option A) is true.
NOW LET US SOLVE THE REMAINING PORTION
[tex]\mathrm{Subsititute\:}x=-1+y[/tex] to solve for y
[tex]\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}[/tex]
[tex]-2+y=3[/tex]
[tex]y=5[/tex]
For x = -1 + y
substitute y = 5
[tex]x=-1+5[/tex]
[tex]x=4[/tex]
Thus, the solution to the system of equations be:
[tex]x = 4, y = 5[/tex]
Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Answer:
5/12
Step-by-step explanation:
im finding answers for hegarty maths and i got it wrong and it said 5/12 was the answers
thank me later
Answer:
2/36
Step-by-step explanation:
i found it on another website
The day after a protest held by an employee's union, 32 out of 40 employees did not show up for work at the shoe factory, Which represents the percent of the employees who did show up for work the day after the protest?
Answer:
Step-by-step explanation:
32 out of 40 did not show
8 out of 40 did show
When you ask "What is 8 out of 40?" you want to know what percent 8 is out of 40.
Here are step-by-step instructions showing you how we calculated 8 out of 40 as a percentage:
The first step is to divide 8 by 40 to get the answer in decimal form:
8 / 40 = 0.2000
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.2000 * 100 = 20.00%
Answer:
20 %
Step-by-step explanation:
Please give me the correct answer
Answer:
i dont think so.
Step-by-step explanation:
help me pleaseeeeeeeee
Answer:
C is because it doesn't have any repeating x-values or y-values
Step-by-step explanation:
Salvador bought 6 lbs of coffee for $18.66. What is the unit price per pound?
Answer:
$3.11
Step-by-step explanation:
It is given that,
Salvador bought 6 lbs of coffee for $18.66.
We need to find the unit price per pound.
The unit price per pound is calculated by dividing total cost by 6 as follows :
[tex]C=\dfrac{18.66}{6}\\\\=\$3.11[/tex]
Hence, the unit price per pound is $3.11
The probability that a vehicle will change lanes while making a turn is 45%. Suppose a random sample of 7 vehicles are observed making turns at a busy intersection. Find the probability that a least 5 vehicles will change lanes while making the turn.
Answer:
0.1529
Step-by-step explanation:
Given that:
Probability of changing lane ; p = 45% = 0.45
Sample size (number of trials) = n = 7
Probability that atleast 5 vehicles will change lane :
Using the binomial probability formula :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
(1 - p) = 1 - 0.45 = 0.55
P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)
P(x = 5) = 7C5 * 0.45^5 * 0.55^2
P(x = 5) = 21 * 0.45^5 * 0.55^2 = 0.117221
P(x = 6) = 7C6 * 0.45^6 * 0.55^1
P(x = 6) = 7 * 0.45^6 * 0.55^1 = 0.031969
P(x = 7) = 7C7 * 0.45^7 * 0.55^0
P(x = 7) = 1 * 0.45^7 * 0.55^0 = 0.003736
P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)
P(x ≥ 5) = 0.117221 + 0.031969 + 0.003736
P(x ≥ 5) = 0.152926
P(x ≥ 5) = 0.1529
Using the binomial distribution, it is found that there is a 0.1529 = 15.29% probability that a least 5 vehicles will change lanes while making the turn.
For each vehicle, there are only two possible outcomes, either they change lanes while making a turn, or they do not. The probability of a vehicle changing lanes while making a turn is independent of any other vehicle, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
The probability that a vehicle will change lanes while making a turn is 45%, hence [tex]p = 0.45[/tex].A sample of 7 vehicles is taken, hence [tex]n = 7[/tex].The probability that at least 5 vehicles will change lanes while making the turn is:
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.45)^{5}.(0.55)^{2} = 0.1172[/tex]
[tex]P(X = 6) = C_{7,6}.(0.45)^{6}.(0.55)^{1} = 0.0320[/tex]
[tex]P(X = 7) = C_{7,7}.(0.45)^{7}.(0.55)^{0} = 0.0037[/tex]
Then
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1172 + 0.0320 + 0.0037 = 0.1529[/tex]
0.1529 = 15.29% probability that a least 5 vehicles will change lanes while making the turn.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
Find the exact value of cos(a-b) given sin(a)=-4/5 and cos(b)=-5/8 for a in Quadrant III and B in Quadrant II.
See picture for answer choices.
Answer: B
Step-by-step explanation:
What is 2,356 divided by 27
Answer:336.57
Step-by-step explanation:
Answer:
87.259.
Step-by-step explanation:
There are 2 answers for this
(Please use a comma to separate them)
Emma got 90% of the questions on her history test correct if she answered 27 questions correctly, how many questions did Emma get wrong?
There were (A) questions on the test so she got (B) questions wrong
Answer:
There were 30 questions on the test so she got 3 questions wrong.
Step-by-step explanation:
Given that:
Correct answers by Emma = 27
Percentage of correct answers = 90%
Let,
x be the total number of questions on test
90% of x = 27
[tex]\frac{90}{100}x=27[/tex]
[tex]0.9x=27[/tex]
Dividing both sides by 0.9
[tex]\frac{0.9x}{0.9}=\frac{27}{0.9}\\x=30[/tex]
There were 30 questions on the test.
Wrong answers = Total questions - Correct answers
Wrong answers = 30-27 = 3
Hence,
There were 30 questions on the test so she got 3 questions wrong.
which equation is equivalent to y= Ax + By = C
Answer:
slope intercept form
Step-by-step explanation:
that's what ax + by = c is
xoxo, your highness...The temperature in Minsk was recorded over a period of four hours. The
equation
y = -5x + 54
describes the temperature over this time, where y is the temperature in
degrees Fahrenheit (°F) and x is the number of hours since measurements
started. Which of the following statements correctly describes the
temperature?
A. It was -5°F after four hours, and it is rising by 54 degrees per
hour.
B. It was 54°F when the temperature was first measured, and it is
dropping by 5 degrees per hour.
c. It was -5°F when the temperature was first measured, and it is
rising by 54 degrees per hour.
O D. It was 54°F after four hours, and it is dropping by 5 degrees per
hour
Answer:
D.) it was 54 degrees Fahrenheit when the temperature was first measured, and it is dropping by 5 degrees per hour
Step-by-step explanation:
I took the quiz
Answer:
D
Step-by-step explanation:
I took the test
Rick’s scores in his last 15 rounds of golf are 72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, and 72. If he scores an 80 on each of the next three rounds, which measure of center would increase more, the mean or median?
Answer:
The median increased more
Step-by-step explanation:
Given that:
Scores on last 15 :
72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72
Obtaining the range, mean, median and mode from the data above :
Rearranged data:
68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 81, 83, 84
Range = 84 - 64 = 16
Mode = 72 - frequency of 3)
Mean = ΣX / n where n = sample size
Mean = 1140 / 15 = 76
Median = 0.5(n+1)th term = 0.5(16)th term =
8th term = 75
A score of 80 on each of next 3 rounds :
72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72, 80, 80, 80
Rearranged data:
68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 80, 80, 80, 81, 83, 84
Range = 84 - 68 = 16
Mean = ΣX / n where n = sample size
Mean = 1380 / 18 = 76.67
Median =0.5(n+1)th term = 0.5(19)th term =
9.5 = (9th term +. 10th term) / 2 = (77 +78) / 2 = 77.5
Q#1 Pleaseeee answer my guy it’s literally the biggest grade I got and I’m tiredddd
Answer:
x < -15
Step-by-step explanation:
x/-5 > 3
x > 3 * (-5)
x > -15
A reading teacher brought sets of different numbers of books for her class. She paid the same price for each book
Complete the table to show the number of books she bought or the price she paid
(Put your answers in the Order of a,b,c)
Answer:
A) $15
B) 8
C) $25
Step-by-step explanation:
The stock of Company A gained $1.86 throughout the day and ended at a value of $94.86. By what percentage did the stock rise
Answer:
tTe answer is 1.96%
Step-by-step explanation:
given data
change in price/gain= $1.86
the closing price = $94.86
Required.
The percent rise.
Step two:
The formula for the percent rise is
=change/close price*100
substitute our given data
= 1.86/94.86*100
=0.0196*100
=1.96%
Round to the nearest whole number and cluster to give an estimate for 15.23 + 12.8 + 4.93 + 7.21.
Answer:
the answer is 40
Step-by-step explanation:
15.23+12.8+4.93+7.21=40.17 then you round 40.17 to 40
Answer:
40
Step-by-step explanation:
15.23 + 12.8 + 4.93 + 7.21
27.31 + 12.34
39.65
round the number to a whole number
40
True or false:triangle angle some theorem is when all of them interior (inside)angles of a triangle add up to 180°?
Answer:
true
Step-by-step explanation:
The sum of interior angles is 180 degrees (Triangle Angle Sum Theorem). All interior angles of a triangle are more than 0° but less than 180°. The bisectors of all the three interior angles intersect inside a triangle at a point called the in-center, which is the center of the in-circle of the triangle.
Which translation moves point Z so that the whole image is only in quadrant 1 and 2
Captionless Image
Answer:
I can’t see the picture!
Step-by-step explanation:
How many board feet of lumber would you have if you had 5 pieces of 4"x 2 points
4" X 8'?*
Answer:
6
Step-by-step explanation:
13.
WRITE Math Write a word problem that involves two fractions.
Include the solution.
Please help fast
Answer: If you have 2/3 cup of water and 3/5 cup of oil, how huch liquid do you have in total?
1 and4/15
Step-by-step explanation:
Solve the following proportion for u.
5
7
11
Round your answer to the nearest tenth.
can you put your tongue in a not??
Answer:
No, it is physically impossible to put your tongue in a knot.
Step-by-step explanation:
arithmetic sequence
Answer:
First, find the common difference for the sequence. Subtract the first term from the second term. Subtract the second term from the third term. Subtract the third term from the fourth term. To find the next value, add to the last given number.
Step-by-step explanation:
Trevor was reading a book for a book report. Last week, he read 35 pages of the book. This week, he read 4.5 times as many pages as he read last week.
How many pages of the book has Trevor read this week? Complete the explanation.
I only need like a
35
x 4.5
---------------
[ ]
[ ]
---------------
[ ]
9514 1404 393
Answer:
see below
Step-by-step explanation:
Multiply the numbers as though they were integers, then mark off a number of decimal places in the product equal to the total number of decimal places in the numbers being multiplied (1).
A chemist has 100 ml of 25% acid solution. how much of the solution does she need to drain and replace with 70% acid solution to obtain 100 ml of 60% acid solution?
Answer:
The proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.
Step-by-step explanation:
Since the chemist has 100 ml of solution with 25% acid, and wants to obtain a solution of 60% acid by mixing the first with another 70% acid solution, to determine how much of each solution the chemical should use necessary to perform the following calculation:
70 x 1 + 25 x 0 = 70
70 x 0.9 + 25 x 0.1 = 65.5
70 x 0.8 + 25 x 0.2 = 61
70 x 0.7 + 25 x 0.3 = 56.5
Therefore, the proportion to be used is between 70% and 80% of acid at 70%, and 20% to 30% of acid at 25%.
70 x 0.75 + 25 x 0.25 = 58.75
70 x 0.76 + 25 x 0.24 = 59.2
70 x 0.77 + 25 x 0.23 = 59.65
70 x 0.78 + 25 x 0.22 = 60.1
Thus, the proportion should be between 77 and 78% of acid at 70% and 22 and 23% of acid at 25%.
70 x 0.778 + 25 x 0.222 = 60.01
Thus, finally, the proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.
4(5a + 3) = 20a + 12 represent which property of multiplication?
Answer:
Distributive property of multiplication
Step-by-step explanation:
The distributive property of multiplication is basically distributing the terms outside the bracket to all the terms inside the bracket. In this case, 4 is multiplied to 5a as well as 3.
Find the solution set of the inequality
- 4x + 35 > 2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 33/4
Interval Notation:
(− ∞, 33/4)
i need help with this asap! i will give brainliest!!
Answer:
97
Step-by-step explanation:
Angle on a straight line = 180
106 + ∠st = 180
∠st = 180 - 106 = 74
x = ∠st + 23
= 74 + 23
= 97
Answer:
51 degrees
Step-by-step explanation:
This is a scalene triangle. Which means it sums up to 180 degrees. Therefore, you have to add up all the degrees to 180. 106+23 is 129, and 180 - 129 is 51.
Jamie borrows $2,000 to purchase a new living room furniture set. She will pay an 8% interest rate over 18 months. How much will Jamie pay in interest?
Answer: 2800 dollars in intrest
Step-by-step explanation:
How to find inequalities
Answer:
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Hope that helped happy holidays!