Elimination was used to solve a system of equations. One of the intermediate steps led to the equation 7x=21. Which of the following systems could have led to this equation
A. 8x-y=15, x+y=-6
B.3x+2y=7, 2x-y=7
C.4x+3y=24, -3x-3y=3
D. 7x+2y=21, -7x-2y=21
Answer:
Step-by-step explanation:
We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.
How do you solve Linear Equations?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Calculation7x=21 is the intermediate state.
x=3 is the given solution
Substitue x in the given solutions and find y from the given solutions.
9+2y=7 and 6-y=7
so y=-1 in both the cases.
We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.
To refer more about SYSTEM OF EQUATIONS, visit:
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NEED HELP ASAP!!!! 100 points up for grabs.
An expression is shown below:
6(m + 2 + 7m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
part a: 6m+12+42m
48m+12=0
m = -0.25
Answer:
Few expression are shown below :-6(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)6(m+2+7m)Equivalent expression include:-6(8m+2)48m +126(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)Putting the value of m = 1 we get6(m+2+7m) = 6(1+2+7)=606(2m+2+6m) = 6(2+2+6) = 60Similarly we will put the value till 3(2m +4+14m) = 6048m + 12 = (48×1 +12)=60This proves that all values are equal. Hence verification is done.Learn More:-To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.To get the answer, solve the equation for the variable. Then plug that variable value into the expression and simplify to get the answer.
The product of the square of a number and 8. Let the unknown number equal five. plz i need the answer
Answer:
200
Step-by-step explanation:
If you multiply 8 by the number 5's square, 25, you get 200
Select all ratios equivalent to
22:10.
11:5
110:50
33:15
Answer:
All the 3 choices are correct.
Step-by-step explanation:
11:5 11 divided by 22 is 1/2 and 5/10 is 1/2
110/50 110 divided by 22 is 5 and 50 divided by 10 is 5
33/15 33 divided by 22 is 1 1/2 and 15 divided by 10 is 1 1/2
Geometry help needed!
Answer:
AC Midpoint (2,0)-
CB Midpoint (5,-4)
midlength is 5
Step-by-step explanation:
midpoint formula [tex](\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2} }{2})[/tex]
A(2,4) C(2,-4)
[tex]\frac{2+2}{2} =\frac{4}{2}=2\\\frac{4-4}{2} =\frac{0}{2} =0[/tex]
(2,0)
C(2,-4) B(8,-4)
[tex]\frac{8+2}{2} =\frac{10}{2} =5[/tex]
[tex]\frac{-4-4}{2} =\frac{-8}{2} =-4[/tex] midpoint is (5,-4)
Distance between the 2 midpoints is the midsegment
(2,0) and (5,-4)
[tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}) ^{2} }[/tex]
[tex]d=\sqrt{(5-2)^{2} +(-4-0)^{2} } \\d=\sqrt{3^{2} +(-4^{2})\\ } \\d=\sqrt{x} 9+16\\d=\sqrt{25} \\d=5[/tex]
I need answer tho this please help me
Answer:
there is two diagram 2,3, 4 and 5 this is the answer give
URGENT!!!!!!!!!!!!!! Three ballet dancers are positioned on stage. If Ryan is 8 meters straight behind Nina and 6 meters directly left of Heather, how far is Nina from Heather? wil give 50 points for right answer but will delete point takers
Answer:
Is the answer to the :
1st is 9
2nd is 17
3rd is 20
4th is 5
5th is 6
If it helps you....then please mark brainliest
Step-by-step explanation:
Determining the Type of Function
What type of function is represented in the table?
Answer:
quadratic
Step-by-step explanation:
pls help. I will mark BRAINLIEST
Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required
Answer:
A sample size of 1031 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
37% of freshmen do not visit their counselors regularly.
This means that [tex]\pi = 0.37[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.035. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}[/tex]
[tex]0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2[/tex]
[tex]n = 1030.4[/tex]
Rounding up:
A sample size of 1031 is required.
Ed solved a puzzle minute faster than Brett. Brett solved the
puzzle in 98 seconds. How many seconds did it take Ed to solve
the puzzle?
Show your work.
What’s the correct answer????
Answer:
$39
Step-by-step explanation:
(hope you get a 100%:))
Please answer the question correctly with factual information for brainliest.
Answer:
4.5
Step-by-step explanation:
[tex]4= \sqrt[3]{64}\\5 = \sqrt[3]{125}[/tex]
[tex]\sqrt[3]{100}[/tex] is in between [tex]\sqrt[3]{64} \\[/tex] and [tex]\sqrt[3]{125}[/tex] so that means that the answer is between 4 and 5 so the best answer is 4.5.
The population of leave town is 1-23,560 and is decreasing at a rate of 1.5%
each
year.
a) when will the population of Leavetown drop below 47,000 Cto the nearest
year)?
b) what will the population of leavetown be years from now?
Answer: a is correct
Step-by-step explanation:
At 25 years
Step-by-step explanation:
123,000 x 2.375% = 2,921.25. This gives you the rate that the population is decreasing. How long will it take to get to 50,000. Do reverse operations to find this answer: 123,000 - 50,000 = 73,000, the population need to decrease by 73,000 to get to 50,000. So let's multiply our rate of 2,921.25 x 25 = 73,031 and our final step.. 123,000 - 73,031 = 49,969 below 50,000
BRAINLIST PLEASE CAN I GET BRAINLIST
Factor 5a2 - 30a + 40.
A) 5(a - 2)(a + 4)
B) (a - 20)(a - 2)
O C) 5(a - 2)(a - 4)
OD) (5a - 5)(a - 8)
HELP WILL MARK BRAINLIEST
what is the coefficient of the third term in the following expression? 4+9s+g
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Answer:
1
Step-by-step explanation:
The third term is g. It is equivalent to 1g. (A coefficient of 1 is rarely shown.) The coefficient is the constant multiplier of the variable expression. In the third term, the coefficient is 1.
I've been crying about this question plz Help i'll give brainliest. Question 7
Step-by-step Answer/Explanation(answers are underlined and bolded):
okay, first you want to identify all the numbers and what they mean:
lawyers:235 (within the main number of lawyers: Criminal lawyers: 74)
Family doctors: 87
Sergeons: 30
From there, add up all of said numbers (ignore the Criminal lawyers for now):
235 + 87 + 30 = 352
(352 is going to be the denominator or the number that we are going to be dividing from.)
Next, we start answering the questions!
the first one is asking for the percent of sergeons.
To do this, we need to take the number of sergeons listed, 30, and divide 352 from it:
30/352 = .0852
then multiply this by 100:
.0852 x 100= 8.52%
So the percent of sergeons is 8.52%
Next question: the percent of Family Doctors
so like the last question, we identify the number of doctors, 87, and divide 352 from it, then multiplying it by 100 after:
87/352 = .2472
.2472 x 100 = 24.72%
Meaning the percent of family doctors is 24.72%
Criminal Law is next:
repeat the steps in the last couple of problems:
72/352 = .2045
.2045 x 100 = 20.45%
Family Law:
Okay, so now, we need to take that 235 from earlier and subtract it from 72 (the criminal law students) to get the number of students going into family law.
235 - 72 = 163
now repeat the steps from the earlier problems:
163/352 = .3864
.3864 x 100 = 38.64%
(I don't particularly understand what the rest is asking...I figure you can probably figure out from here...? I hope this helps!!)
The May 1, 2009, issue of a certain publication reported the following home sale amounts for a sample of homes in Alameda, CA that were sold the previous month (1,000s of $). 591 820 575 607 349 1,288 412 543 557 676 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate and interpret the sample mean and median. The sample mean is x
The sample mean is $641.80 thousand and the sample median is $583 thousand.
This means that the average sale price for a home in this sample was $641.80 thousand and that half the sales were for less than the median price and price and half the sales were more than the median price.
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
sum of the numbers = $ (591 + 820 + 575 + 607 + 349 + 1,288 + 412 + 543 + 557+ 676) = 6418
total number = 10
Mean = $6418 / 10 = $641.80
= $641.80 thousand
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Arranging the prices in ascending order : 349, 412, 543, 557, 575, 591, 607, 676, 820, 1288
The two numbers in the middle of the set of numbers are 575 and 591
Median = (575 + 591) / 2 = $583
$583 thousand
To learn more about median, please check : https://brainly.com/question/300591?referrer=searchResults
Francesa buys 25 songs from an online business. Each song costs $1.99. She pays a total of $52.74 for 25 songs.
Answer:
2.99
Step-by-step explanation:
if you are trying to ask what she payed for tax the anwser is above
Find the distance between the two points in simplest radical form.
(-1,2) and (-7, -6)
Answer:
10
Step-by-step explanation:
HELP FAST I GIVE BRAINLIEST
Answer:
1st option (c = 15.00 + 3.50n)
Step-by-step explanation:
Answer:
A. c=15.00+3.50n
Step-by-step explanation:
We can find how much a single charm costs by taking the 2nd term and subtracting it by the first.
22.00-18.50=3.50
A charm is $3.50.
We can also find the initial price of the bracelet by taking the first term and subtracting off one charm.
18.50-3.50=15.00
The bracelet by itself is $15.00
Knowing n goes up by a rate of 3.50 and the initial price is 15.00, we can find the answer is
A. c=15.00+3.50n
F'(x)=2x+17 f(1)=7 what is f(0)
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Answer:
f(0) = -11
Step-by-step explanation:
The function f(x) is found by integrating its derivative. The constant of integration is found from the given point.
[tex]\displaystyle f(x)=\int{f'(x)}\,dx=\int{(2x+17)}\,dx=x^2+17x+c\\\\f(1)=7=1^2+17\cdot1+c\quad\rightarrow\quad c=-11\\\\f(0)=0^2+17\cdot0-11\\\\\boxed{f(0)=-11}[/tex]
Correctly identify step 3 and 4 of the accounting process:
Answer:
Step 3: record transactions into the journal; Step 4: post entries into the ledger
I think you are happy with this answer
PLEASEE Helpp
A new road was built to reroute traffic around the park, as shown in the diagram below. About how many extra miles will the traffic travel?
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Answer:
A. 20 miles
Step-by-step explanation:
You will recognize this right triangle as a 3-4-5 right triangle scaled by a factor of 10 miles. That means the "old road" length is 50 miles. The new road lenth is 40+30 = 70 miles, so the added distance is ...
70 miles - 50 miles = 20 miles . . . . extra travel distance
__
Maybe you've never heard of a 3-4-5 right triangle, so you need to use the Pythagorean theorem to compute the length of the old road. It tells you the square of that length is the sum of the squares of the new road segment:
OR² = 40² + 30²
OR² = 1600 +900 = 2500
OR = √2500 = 50 . . . . the length of the old road is 50 miles
Tucker and Jeremy went scuba diving in the ocean together. Tucker dove to a depth of -115 feet, while
Jeremy dove to a depth of -109 feet. Who dove deeper into the ocean?
I need the answer fast
Answer:
87
Step-by-step explanation:
this is correct
Gabrielle's team scored 18 points the first half of a basketball game and 9 points the second half of the game: Gabrielle scored 1/3 of the points. How many points did Gabrielle score?
Malia and her sister walk at a constant rate of 4 miles per hour.
At this constant rate, how far can Malia and her sister walk in 1.5 hours?
Answer:
6mi per 1.5h
Step-by-step explanation:
4miles per 1h
6miles per 1.5h
4×1.5=6
Solve for x.
x+14
15x - 74
x = [?]
Enter
Answer:
###########
Step-by-step explanation:
Answer:
Solution given:
x+14=5x-74[corresponding angle]
74+14=5x-x
x=88/4
x=22