Answer:
To decide whether to add or subtract, determine if the values of the coefficients are the same or opposites:
. If the values are the same, subtract the equations.
• If the values are opposites or additive inverses, add the equations.
Step-by-step explanation:
Given
[tex]12x = 48 - 8y[/tex]
[tex]10x + 8y = 38[/tex]
Required
How to solve
Options (1) and (2) are incorrect because none of the options eliminate x or y.
For option (3),
- Check for the coefficients of x and y
- If they are the same (sign and value), then subtract; otherwise add
For instance:
[tex]12x = 48 - 8y[/tex]
[tex]10x + 8y = 38[/tex]
Rewrite the second equation
[tex]12x = 48 - 8y[/tex]
[tex]10x = 38 - 8y[/tex]
The coefficient of y are the same, so we subtract;
[tex]12x - 10x = 48 - 38 -8y -(-8y)[/tex]
[tex]12x - 10x = 48 - 38 -8y +8y[/tex]
[tex]2x = 10[/tex]
See that y has been eliminated
Write the phrase as a numerical expression.
3.
5 more than 8
4. 8 less than 2 times a number
3. 8+5
4. 2x - 8
Step-by-step explanation:
3. for example : 5 more than the number means
x+5 so that's how we get the answer as 8+5
4. This can be explained in two folds firstly, for example: 2 less than the number means x-2.
secondly;7 times the number means 7x so therefore we get our final answer as 2x - 8
What expressions are equivalent to 2.097 help
Answer:
ur question is not complete.
2) If a=9. c=15. then b=?
Answer:
I think it's 12
Step-by-step explanation:
sorry if I'm wrong
Answer: B= 12
Step-by-step explananoin
Alr A squared plus B squared equals C squared
So C squared minus A Squared equals B squared
15 Squared minus 9 squared equals 144
Do the unsquare thing and you get 12
Why is it important for a company to create an income statement?
5,2,4 does this make a triangle
Answer:
Yes
Step-by-step explanation:
Two numbers have to be greater than the other one or it does not make a triangle.
5+2>4, 7>4 true
5+4>2, 9>2 true
4+2>5, 6>5 true
If this helps please mark as brainliest
Score: 0 of 1 pt
7.1.21
Graph the equation. Select integers for x from – 3 to 3, inclusive.
y=x2-3
Use the graphing tool to graph the equation.
Click to
enlarge
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = x^2 - 3[/tex]
Required
The graph of the equation
First, we determine the range of y
[tex]x = -3[/tex]
[tex]y = x^2 - 3 \to y = (-3)^2 - 3 = 6[/tex]
[tex](-3,6)[/tex]
[tex]x = -2[/tex]
[tex]y = (-2)^2 - 3 = 1[/tex]
[tex](-2,1)[/tex]
[tex]x = -1[/tex]
[tex]y = (-1)^2 - 3 = -2[/tex]
[tex](-1,-2)[/tex]
[tex]x=0[/tex]
[tex]y = 0^2 - 3 = -3[/tex]
[tex](0,-3)[/tex]
[tex]x = 1[/tex]
[tex]y= 1^2 - 3 = -2[/tex]
[tex](1,-2)[/tex]
[tex]x = 2[/tex]
[tex]y =2^2 - 3 = 1[/tex]
[tex](2,1)[/tex]
[tex]x = 3[/tex]
[tex]y = 3^2 - 3 = 6[/tex]
[tex](3,6)[/tex]
See attachment for graph
Two trains, Train A and Train B, weigh a total of 532 tons. Train A is heavier than Train B. The difference of their weights is 450 tons. What is the weight of each train?
Which set of numbers does NOT represent the lengths of the sides of a triangle? (6, 18, 23) (6, 22, 17) (16, 24, 7) (22, 8, 15
Answer:
(16, 24, 7)
Step-by-step explanation:
The Triangle Inequality states that the sum of lengths of any two sides should be greater than the length of the third side.
But 16 + 7 = 23 is not greater than 24.
Select all the ordered pairs that are solutions of the equation.
A. (-7, 1)
B. (-1,7)
C. (0,5)
D. (2,3)
E. (3, 2)
F. (5,0)
Answer:
B. (-1,7)
C. (0,5)
D. (2,3)
Step-by-step explanation:
We solve this question looking at the graphic.
A. (-7, 1)
When [tex]x = -7, y \rightarrow \infty[/tex], and thus (7,-1) is not solution of the equation.
B. (-1,7)
When [tex]x = -1, y = 7[/tex], and thus (-1,7) is a solution of the equation.
C. (0,5)
When [tex]x = 0, y = 5[/tex], and thus (0,5) is a solution of the equation.
D. (2,3)
When [tex]x = 2, y = 3[/tex], and thus (2,3) is a solution of the equation.
E. (3, 2)
When [tex]x = 3, y \neq 2[/tex], and thus (3,2) is not part of the solution
F. (5,0)
When [tex]x = 5, y \neq 0[/tex], and thus (5,0) is not part of the solution
The length of a rectangle is twice its width.
If the perimeter of the rectangle is 30 cm, find its length and width.
Answer:
width - 5cm
length - 10cm
Step-by-step explanation:
Let's define the variable w as the width of the rectangle. The length of the rectangle would be 2w as given by the problem. A form of the perimeter of a rectangle formula is:
P = 2(l + w)
Where P is the perimeter, l is the length, and w is the width. We substitute our length, width, and perimeter to get:
30 = 2(2w + w)
You can simplify to get:
30 = 2(3w)
and divide by 6 on both sides to isolate w:
w = 5cm - the width is 5 cm
The length is twice the width, and 2 x 5 is 10, so 10cm is the length.
A large national bank charges local companies for using their services. A bank official reported the results of a regression analysis designed to predict the bank's charges (Y)—measured in dollars per month—for services rendered to local companies. One independent variable used to predict the service charge to a company is the company's sales revenue (X)—measured in millions of dollars. Data for 21 companies who use the bank's services were used to fit the model:
E(Y) = ß0 + ß1X
The results of the simple linear regression are provided below.
= -2,700 + 20X, SYX = 65, two-tailed p value = 0.034 (for testing ß1)
Referring to Table 13-1, interpret the p value for testing whetherß1 exceeds 0.
A) For every $1 million increase in sales revenue, we expect a service charge to increase $0.034.
B) Sales revenue (X) is a poor predictor of service charge (Y).
C) There is sufficient evidence (at the a = 0.05) to conclude that sales revenue (X) is a useful linear predictor of service charge (Y).
D) There is insufficient evidence (at the a = 0.10) to conclude that sales revenue (X) is a useful linear predictor of service charge (Y).
Answer:
B
Step-by-step explanation:
Rejecting H₀, there is sufficient evidence (at the α = 0.05) to conclude that sales revenue (X) is a useful linear predictor of service charge (Y).
What is the hypothesis?In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.
The p-value for testing whether ß1 exceeds 0 is the probability of observing a test statistic as extreme as the one that was actually observed, assuming that the null hypothesis is true. In this case, the null hypothesis is that ß1 does not exceed 0, and the alternative hypothesis is that ß1 does exceed 0.
Since the p-value is 0.034, which is less than the significance level of 0.05, this means that there is sufficient evidence to reject the null hypothesis H₀ and conclude that ß1 does indeed exceed 0. In other words, there is sufficient evidence to conclude that sales revenue (X) is a useful linear predictor of service charge (Y).
Therefore, the correct answer is (C) "There is sufficient evidence (at the a = 0.05) to conclude that sales revenue (X) is a useful linear predictor of service charge (Y)."
To learn more about the hypothesis here:
https://brainly.com/question/18064632
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your dinner bill was 42.50 and you leave 50. what percent was your bill?
Answer:
42.50/50x100
4250/50
=85%
Answer: 82.4%
the png is what percent u leave
so what precent u take just subtract with 100 and u get 82.4%
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
1. You borrow $500 from a bank with a 5% annual interest and
the maturity date is in 3 years
a. How much would you pay in interest at the end of the
loan if you pay simple interest
b. How much would you pay in interest at the end of the
loan if you pay in compound interest
Answer:
Step-by-step explanation:
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
There are 30 students in a class and 18 of them own at least one pet.
What fraction of the class own pets?
Give your answer in its simplest form.
Answer:
18/30=3/5
Step-by-step explanation:
Whoever gets the answer first and its correct gets brainlist!
Answer:
No because the graph is not a straight line
Step-by-step explanation:
Since the slope isn’t constant, the graph is not linear
Question 1 (1 point)
John started with $1,000 in an investment account. Each year the money in the account doubled. If there is currently $16,000 in the
investment account, how many years have passed since the account was opened?
years
Answer:
4 yrs have passed since the account was opened
Slove for the value of q
Answer: q=6
Step-by-step explanation:
Answer:
The value of [tex]q[/tex] is [tex]\mathbf{6}[/tex]
Step-by-step explanation:
The sum of the angles [tex](9q-8)^\circ[/tex] and [tex]134^\circ[/tex] should be equal to [tex]180^\circ[/tex]
[tex](9q-8)+134^\circ=180^\circ[/tex]
therefore
[tex]9q-8^\circ+134^\circ=180^\circ\\9q=180^\circ-134^\circ+8^\circ\\9q=54^\circ\\q=\frac{54^\circ}{9} \;\;\;\;\;\;\;\;\;\;\Rightarrow\;\;\;\;\;\;\;\;\;\;\mathbf{q=6^\circ}[/tex]
how much money is half of $196.17?
Answer:
Roughly 90.085
Step-by-step explanation:
$196.17/2=$90.085
which pair of words describes this system of equations 3y=9x-6 2y+6x=4
Answer:
Consistent and dependent
Step-by-step explanation:
Given
[tex]3y = 9x - 6[/tex]
[tex]2y + 6x = 4[/tex]
Required
The words that describe the equations
Make y the subject in (2)
[tex]2y + 6x = 4[/tex]
Collect like terms
[tex]2y = 4 - 6x[/tex]
Divide through by 2
[tex]y = 2 - 3x[/tex]
Substitute: [tex]y = 2 - 3x[/tex] in (1)
[tex]3y = 9x - 6[/tex]
[tex]3(2 - 3x) = 9x - 6[/tex]
[tex]6 - 9x = 9x - 6[/tex]
Collect like terms
[tex]9x+9x = 6+6[/tex]
[tex]18x = 12[/tex]
Solve for x
[tex]x = \frac{12}{18}[/tex]
Simplify
[tex]x = \frac{2}{3}[/tex]
Substitute [tex]x = \frac{2}{3}[/tex] in [tex]y = 2 - 3x[/tex]
[tex]y = 2 - 3*\frac{2}{3}[/tex]
[tex]y = 2 - 2[/tex]
[tex]y =0[/tex]
So, we have:
[tex]x = \frac{2}{3}[/tex] and [tex]y =0[/tex]
The system is consistent because it has at least 1 solution
The system is dependent because it has more than 1 solution
given line t below, choose all points that lie on the line that passes through point P and is parallel to line t.
Answer:
the answer is 4 and 3
Step-by-step explanation:
taking the point on x and y axis so u get 4 and 3
Avery has $20 to spend on lunch. She buys two tacos for $1.25 each and a large soda for $1.75.
How much change should Avery get back from her $20 bill?
o
$17.00
$24.25
$16.25
$15.75
Answer:
$15.75 change
Step-by-step explanation:
Avery starts with $20.
She buys 2 tacos and 1 soda.
$1.25 + $1.25 + $1.75
= $4.25
$20 that she started with - $4.25 that she used.
$20 - $4.25 = $15.75
Answer:
15.75
Step-by-step explanation:
$20 - ($1.25 x 2) - $1.75 =
20 - 2.5 - 1.75 =
17.5 - 1.75 =
$15.75
help please I dont understand this
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
The lengths of line segments [tex]\overline{AB}[/tex] and [tex]\overline{AC}[/tex] because of the two segments and two angles marked as equal in the diagram. Because of this, the arcs [tex]\widehat{AB}[/tex] and [tex]\widehat{AC}[/tex] are equal.
Since there are 360 degrees in a circle, we can now set up the following equation:
[tex](10x-23)+(10x-23)+106=180,\\20x-46+106=180,\\20x+60=180,\\20x=120,\\x=\boxed{6}[/tex]
What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)
Answer:
Last Option; 84 cu. mm
Step-by-step explanation:
We know that;
Volume = 1/3(Bh)
And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36
And height = 7mm
Therefore we can say;
Volume = (1/3)*(6 x 6)*(7)
Volume = (1/3)*(36)*(7)
Volume = (12)*(7)
Volume = 84
Hope this helps!
If there are 16 ounces in one pound than how many ounces are there in a half pound?
Answer:
there are 8 ounces in a half pound
Step-by-step explanation:
1 pound= 16 ounces
So half pound= ½×16= 8 ounces
Hope This Helps You ❤️Solve for x. -2.7x + 0.4 =2.8 -1.2x
x=-1.6
Hope this Helped! :T
Of the 600 people at a music festival, 420 had attended the previous year. how many people out of 100 had attended the previous year?
A 42
B 60
C 80
D 70
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many solutions, which statement must be true?
A
The lines are parallel.
B
The lines intersect in one point.
C
The lines are the same.
D
None of the above
Answer:
c
Step-by-step explanation:
Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
So C would be the most accurate statement
please give brainiest
ill mark brainliest hurry please
Answer:
Third option is the correct answer
[tex] 2log_{5} x - 2log_{5} 4[/tex]
Step-by-step explanation:
[tex] log_{5} \bigg( \frac{x}{4} \bigg) ^{2} \\ \\ = 2log_{5} \bigg( \frac{x}{4} \bigg) \\ \\ = 2log_{5} x - 2log_{5} 4[/tex]
Dan is helping to build a stage for a concert.
4 m
3 m
3 m
3.5 m
12 m
He needs to order some non-slip flooring for the stage.
Calculate the area of the stage.
Answer: 37m
Step-by-step explanation:
Convert 300cm into m = 3m
6 + 6 + 3 + 3 + 3.5 + 3.5 + 12 = 37m
Which expression correctly represents "twice the sum of four and a number"?
O 2(4+n)
O 2(4n)
O 2(4)+n
O 2+(4n)
Answer:
2(4)+n
Step-by-step explanation:
Since Its twice Number Four You Only Multiply Number 4 And Add "n" As It Represent's The Number