What is the solution to the system of equations?
(7, 9)
(9, 7)
(–5, 11)
(11, –5)
Answers
Answer:
(7, 9)
Step-by-step explanation: To solve this system, I would use addition.
To solve a system of equations by addition,
we need one of our variables to cancel out.
Notice that we have a 4x in our first equation.
If we had a -4x in our second equation, the x's would cancel.
To create a -4x in the second equation,
we must multiply the entire equation by -4.
So we have (-4)(x + 6y) = (61)(-4).
Rewriting this equation, we have -4x - 24y = -244.
Now let's rewrite both equations.
4x - 5y = -17
-4x - 24y = -244
_____________
Now when we add the equations together, the x's cancel.
So we're left with -29y = -261.
Now divide both sides by -29 and we have y = 9.
To find x, we plug a y back in for x in either equation.
So let's go with our second equation, x + 6y = 61.
Plugging a 9 in for y, we have x + 6(9) = 61 or x + 54 = 61.
Subtracting 54 from both sides, we have x = 7.
So x = 7 and y = 9 which we can write as the ordered pair (7, 9).
Answer:
A. (7,9)
Step-by-step explanation:
Got it on edg
Related Questions
Find the sum to infinity of the infinite G.P.
1-½+¼........
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The sum to infinity of a GP is
[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] ; | r | < 1
where a is the first term and r the common ratio
Here a = 1 and r = - [tex]\frac{1}{2}[/tex] ÷ 1 = - [tex]\frac{1}{2}[/tex] , thus
[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-(-\frac{1}{2}) }[/tex] = [tex]\frac{1}{1+\frac{1}{2} }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
1-1/2+1/4.....
[tex]r=\frac{\frac{-1}{2} }{1} =-\frac{1}{2} \\if~|r|<1,then~s_{\infty}=\frac{a}{1-r} ,a=first~term.\\s_{\infty}=\frac{1}{1-(\frac{-1}{2}) } =\frac{1}{1+\frac{1}{2} } =\frac{1}{\frac{3}{2} } =\frac{2}{3}[/tex]
··4 m 1 3
··4 m 2 3
··8 (m 1 1)?
Answers
Answer:
what does the m stand for
Step-by-step explanation:
Select the ordered pair that represents a solution to the equation x + 4y = 35.
(0,35)
(3,8)
(3,9)
(8,3)
Which one is it?
Answers
Original Equation: x + 4y = 35
Substitute: (3) + 4(8) = 35
Simplify: 3 + 32 = 35
Answer: 35 = 35
Subtract 4y from both sides and it will be x=35-4y
can someone please answer this question? thank you! (assignment due today)
15. Find the values of x and y.
(10x – 61)º
(18y + 5)º
(r + 10)º
Answers
Answer:
(18*y+5)-((10*x-61))=0
Step-by-step explanation:
should be your answer ║
(18*y+5)-((10*x-61))=0
The AREA of little Tommy's backyard rectangular sandbox can be represented by the given trinomial. Select the correct expression that can represent the LENGTH of the sandbox. (x²-6x+8) ft² options... (x+4) ft (x+8) ft (x-6) ft (x+6) ft (x+2) ft (x-2) ft
Answers
Step-by-step explanation:
The area of little Tommy's backyard rectangular sandbox can be represented by the given trinomial.
A = (x²-6x+8) ft²
We know that the area of a rectangle is given by :
A = L × B
[tex]LB=(x^2-6x+8) \\\\=x^2-(-4x-2x)+8\\\\=x^2+4x+2x+8\\\\=x(x+4)+2(x+4)\\\\=(x+2)(x+4)[/tex]
The length of the rectangle can be either (x+2) or (x+4).
is 46 ft more than 588 in?
Answers
Answer:
i think so
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Mr. Jones and Mr. Smith both plan to retire in 5 years. Mr. Jones has invested $250 per
month in a 401k retirement account for 20 years, and Mr. Smith has invested $500 a month
in a 401k retirement account for 10 years. Mr. Jones and Mr. Smith invested in the same
accounts yielding the same interest rate. Which statement about the retirement investments
of Mr. Jones and Mr. Smith is most likely to be true?
Mr.Smith will have more money saved because he invested more money each month.
Mr. Smith and Mr. Jones will have the same amount in their retirement funds.
Mr. Jones will have more money because he invested for a longer period of time.
cannot determine
Answers
Answer:
i don't know, i just want to know if you got it right
Step-by-step explanation:
The correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
Mr. Jones and Mr. Smith both plan to retire in 5 years.
From the formula:
The rate of interest is the same for both cases.
The duration for Mr. Jones is 20 years
The Initial investment amount for Mr. Jones = $250
The duration for Mr. Smith is 10 years
The initial investment amount for Mr. Smith = $500
Mr. Jones will have more money because he invested for a longer period of time.
Thus, the correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.
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Lesson 6: Find the circumference of the figure below. Round to the nearest
tenth. *
6.2 cm
C=120.8cm
C=39.0cm
C=30.2cm
C=19.5cm
Answers
Answer:C=120.8cm
Step-by-step explanation:
Two students are solving the same problem: At a hardware store, they can cut a length of rope off of a big roll, so you can buy any length you like. The cost for 6 feet of rope is $7.50. How much would you pay for 50 feet of rope, at this rate?
Answers
Answer: 62.5
Step-by-step explanation:
if you multiply 1.25 x 50 = 62.5
(in the problem you may have been given a chart if not look below for the problem also i’m sorry if it doesn’t make sense lol)
[6 above 1 under 50] - [1.75 under 1.25]
[using 1.25 x 50 you get your answer 62.5)
an elk was clocked running 45 miles per hour. which equation shows the relationship between the distance, y, and time, x, that the elk ran?
Answers
Answer:
distance = y = (45 mph)*x
Step-by-step explanation:
distance = rate times time, so
in this case:
distance = y = (45 mph)*x
Kiki painted 15 of her bookshelf on Monday and 56 of her bookshelf on Tuesday. She says she has painted 611 of her bookshelf.Which statement is most accurate?
A. 611 is a reasonable answer for the fraction of her bookshelf Kiki has painted.
B. 611 is not a reasonable answer for the fraction of her bookshelf Kiki has painted. The fraction should be closer to 12
C. 611 is not a reasonable answer for the fraction of her bookshelf Kiki has painted. The fraction should be
Answers
Answer:
43543
Step-by-step explanation:
7556-665
The solution is Option C.
6/11 is not a reasonable answer for the fraction of her bookshelf Kiki has painted. The fraction should be 11/30
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is is given as
The fraction of bookshelf Kiki painted on Monday = 1 / 5
The fraction of bookshelf Kiki painted on Tuesday = 5 / 6
Now , the equation will be
Therefore , the total bookshelf Kiki painted is = fraction of bookshelf Kiki painted on Monday + fraction of bookshelf Kiki painted on Tuesday
Substituting the values in the equation , we get
The total bookshelf Kiki painted is = 1/5 + 5/6
The total bookshelf Kiki painted is = 11/30
Therefore , the value of A is 11/30
Hence , The total bookshelf Kiki painted is 11/30
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i really need help with this one please help me thank you
Answers
Answer:
B
Step-by-step explanation:
please help me on this
Answers
Find the slope of the line containing the pair of points.
(-11,12) and (7, - 2)
Answers
Answer:
-7/9
Step-by-step explanation:
The slope of the line is -7/9
12+2/-11-7=
14/-18=
7/-9=
-7/9
Answer:
The answer is -7/9
Step-by-step explanation:By using the Slope Formula (y2-y1)/(x2-x1) you label the the points ( y2=-2, y1=12), (x2=7, x1=-11) then you plug the answer into the formula -2-12/7- -11 then when you figure that out you get 14/18 but that's not the answer. You need to simplify it then the correct answer is -7/9
What is the Square root of 39
Answers
Answer:
The square root would be something that multiplies twice by itself to get 39.
Step-by-step explanation:
In this case it is a decimal
6.244997998
We can round to
6.24
help please and thank you
Answers
Step-by-step explanation:
hope this helps!! Happy learning!!!!
Last Friday Willie had $27. Over the
weekend he received some money for
babysitting. He now has $43. How much
money did he receive?
Answers
Answer:
$16
Step-by-step explanation:
He received that much money because all you have to do is just subtract
43-27. Then thats how I got my answer.
Hope this helps and have a great day!
Answer:
Willie received $16 dollars during the weekend
Step-by-step explanation:
$43 (how much money he has now) - $27 (how much he had last Friday) = $16 (how much he received while babysitting during the weekend)
In the figure above
A
B
‾
=
4
x
+
6
AB
=4x+6 and
B
C
‾
=
7
x
+
15
BC
=7x+15. If
A
C
‾
AC
=
120
=120, find the value of
x
x and the length of
A
B
AB .
Answers
Answer:
I do not u derstand the question by the way you are trying to put it
4x-y=10 as coordinates
Answers
Answer:
These are possible solutions (0,−10), (2,-2), (4,6), (6,14)
Step-by-step explanation:
If you put this on a graph (try desmos and put it on a graph) those points line up with the equation.
Sorry if it doesn't help.
Answer: 11/4 in decimal form 2.75
Step-by-step explanation: 4x−y=10
4x−y=10
Step 1: Add y to both sides.
4x−y+y=10+y
4x=y+10
Step 2: Divide both sides by 4.
4x/4=y+10/4
x=1/4y+5/2 = 11/4= 2.75
if my banner starts at 3ft tall and 4ft wide and i want to enlarge it by a factor of 7 what are my final measurements.
Answers
Answer:
21ft and 28 ft
Step-by-step explanation:
If the fraction (352/x-10) is equivalent to -22, find the value of x.
Answers
Answer:
The value of x is -6
Step-by-step explanation:
Let us equate the fraction by its equivalent
∵ [tex]\frac{352}{x-10}[/tex] = -22
→ Multiply both sides by (x - 10) to cancel the denominator of the left side
∴ [tex]\frac{352}{x-10}[/tex] × (x - 10) = -22 × (x - 10)
∴ 352 = -22(x - 10)
→ Simplify the right side by multiplying -22 by the bracket (x - 10)
∵ 352 = -22(x) - 22(-10)
∴ 352 = -22x + 220
→ Add 22x to both sides
∵ 22x + 352 = -22x + 22x + 220
∴ 22x + 352 = 220
→ Subtract 352 from both sides
∴ 22x + 352 - 352 = 220 - 352
∴ 22x = - 132
→ Divide both sides by 22 to find x
∴ [tex]\frac{22x}{22}=-\frac{132}{22}[/tex]
∴ x = -6
∴ The value of x is -6
This is an opinion based question so plz don't delete i would actually like to know what people think.
Most of the math we learn in school do you actually think that we use half of it?
Also tell me how to give brainliest in your answer so I can give full points
please actually answer the question this is worth 50 points and i dont want to waste them
Answers
Answer:
Some subjects are more important than others. You have to be working in a field where the concepts you learn in school.
I'd say that everything you learn in middle school and Algebra 1 + 2 , maybe a little of geometry you'll use at some point in your life.
Step-by-step explanation:
Everyone has asked themselves: When will I use math? Well, hundreds of careers use skills learned in high school math on a daily basis. The truth is virtually every career you could choose will build on the basic skills learned in High School Math.
But there are a number of craft and fine arts careers that do not require math skills or involve using them regularly, such as being a painter or sketch artist. Craft and fine artists produce original works that will be displayed or sold, and they may work with a range of materials, such as paint, glass or ink.
To conclude I might say that math is important and everyone should know more than just some basic skills in math.Life is long and sometime harsh for most of us and not always we get in life what we want,probably we will end up doing a job that it was not our dream job.
Or our preferences might change depending on different aspects of life.So knowing a 'little bit' from every subject we do in school is not a bad thing,at the end we know all that greatest things are achived will a hard work!So we should learn as much as we can! Math especially!
And all our hard work will be payed at the end,just remember this!
:)
help pls (this is a missing assignment) will give brainliest!
Answers
Answer:
They are both similar because they involve numbers and they are different because one has a variable and the other ones don't.
Please give brainliest
The ratio of girls to boys in Mrs. Turner’s class is 3:4. There are 9 girls in Mrs. Turner’s class. How many total students are in Mrs. Turner’s class?
What is the question asking for?
Answers
Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds
Answers
Answer:
.44 repeating would be your decimal of dogs that weigh under 20 pounds.
Step-by-step explanation:
Answer:
.44
Step-by-step explanation:
Question in picture. Will mark brainleist if correct.
Answers
Answer:
the answer is A
Step-by-step explanation:
y=3/2x+2
On a graph.
Answers
Answer:
The answer will be listed below!
Step-by-step explanation:
To graph the equation y=3/2x+2, you must know what 3/2x is and what 2 is. 2 would be your y-intercept as the 3/2x would be your slope. As you can see, look for 2 on the y axis and place a dot there. Now, take your slope and use rise/run which means up three and to the right 2. After you finish, draw a line through it and you have graphed it!
The graph of the given equation is a straight line [attached in solution]
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
Given is an equation, y = 3x/2+2
We need to plot its graph,
Finding the coordinates,
y = 3x/2+2
Put x = 0
y = 2
(2, 0)
Put x = -4
y = -3(4)/2+2
y = -6+2
y = -4
(-4, -4)
Plot the coordinates on a graph, and then join them, the obtained line will the graph of the given equation.
Hence, the graph of the given equation is a straight line.
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FIND m< ABC need help ‼️‼️
Answers
Answer:
I dont really understand what you mean
x is 25 tho and each section is 60 degrees
13. Nine days ago, the gas tank on Sue's car was filled with 24 gallons of gasoline. Today there are 6 gallons of gasoline. a. What integer represents the change of gasoline in the past seven days? b. What is the change in gasoline in gallons per day (if she used the same amount every day)?
Answers
Answer:
Step-by-step explanation:
13. Nine days ago, the gas tank on Sue's car was filled with 24 gallons of gasoline. Today there are 6 gallons of gasoline.
a. What integer represents the change of gasoline in the past seven days?
b. What is the change in gasoline in gallons per day (if she used the same amount every day)?
Gasoline difference = 24 - 6 gallons
= 18 gallons
9 days = 6 gallons
1 day = x gallons
=
Six cousins inherited a total of StartFraction 5 Over 8 EndFraction of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’s assets did each cousin inherit?
Answers
Answer:
For us to determine the answer to this item, we simply have to divide the given fraction of the great aunt’s property that is to be divided among the cousins by 6.
N = 5/8 / 6
The value of N in the equation is 5/48 or 0.104. Thus, each of the cousins will receive 10% of the great aunt’s property.
Answer:
5/48
Step-by-step explanation:
(5/8) / 6
