Answer:
x = 1, y = 2
Step-by-step explanation:
Original equations:
[tex]x+y=3\\2x+5y=12[/tex]
Substitute y and solve for x:
[tex]y=3-x\\2x+5y=12[/tex]
[tex]2x+5(3-x)=12[/tex]
[tex]2x+15-5x=12[/tex]
[tex]-3x=-3[/tex]
[tex]x=1[/tex]
Plug in x to solve for y:
[tex]1+y=3[/tex]
[tex]y=2[/tex]
x = 1, y = 2
Note: You can also substitute x and solve for y, then plug in y to solve for x. I did not do that here.
Answer:
x+y=3
x=3-y equation 1
2x+5y=12
2(3-y)+5y=12
6-2y+5y=12
6+3y=12
3y=12-6
y=6÷3
y=2 equation 2
again ,
putting value of equation 2 in equation 1
x=3-y
x=3-2
x=1
A combination is a grouping where the order of the items in the group does not matter.
True
False
Dominic goes jogging every morning. If m represents the number of miles he jogs each day, which expression represents the total number of miles he jogs in a week?
a. 7m
b. 7+m
c. 7-m
d. 7/m
Answer:
The answer is a: 7m
Step-by-step explanation:
The amount of miles he jogs is m, and there are 7 days in a week. Multiply that, and you'll have your answer.
Write the slope-intercept form of the equation of the line through the given points:
through: (2, -3) and (-2, -5)
Answer:
equation of line
x-2y=8
Step-by-step explanation:
equation of line in slope intercept form
(y-y1)={(y2-y1)/(x2-x1)}(x-x1)
or,(y+3)={(-5+3)/(-2-2)}(x-2)
or,(y+3)=(1/2)(x-2)
or,2y+6=x-2
or,6+2 =x-2y
or,x-2y=8
Which of these expressions is equivalent to 3( x-2)
A. 3x - 6
B. 3x -2
C. 3x + 2
D. 3x + 6
Answer:
the answer is B because 3(x-2) is the same as 3x -2
find the distance from point A (-1/4,5) to the line -x+2y=14. round your answer to the nearest tenth
Answer:
543
Step-by-step explanation:
in in the previous activity you solved a system of equations representing the carnival admissions using the elimination method in this activity you will solve the same system using substitution then you'll compare your solution with the solution you obtained in the previous activity by using the elimination method
the two equations from the previous activity are given below
k + a = 500 (1)
3K + 10A equals 3,600 (2)
which equation has at least one of its variables with a 1 as it's coefficient?
Answer:
The value of a=300 and value of k=200
If you solve the above system of equations by elimination method, you will get the same values of a and k.
In Equation 1 [tex]k+a=500[/tex] both variables k has 1 as their coefficient.
Step-by-step explanation:
We need to solve the system of equations using substitution method
The equation are:
[tex]k + a = 500--eq(1)\\3k + 10a = 3,600 --eq(2)[/tex]
For substitution method, we find value of k from equation 1 and put in equation 2
[tex]From \ eq(1) \ we \ get\\k=500-a[/tex]
Putting it in eq(2)
[tex]3k+10a=3600\\Put \ k=500-a\\3(500-a)+10a=3600\\1500-3a+10a=3600\\7a=3600-1500\\7a=2100\\a=\frac{2100}{7}\\a=300[/tex]
So, we get value of a = 300
Now finding value of k by putting value of a in equation [tex]k=500-a[/tex]
[tex]k=500-a\\Putting \ a \ =500\\k=500-300\\k=200[/tex]
So, we get value of k =200
The value of a=300 and value of k=200
If you solve the above system of equations by elimination method, you will get the same values of a and k.
In Equation 1 [tex]k+a=500[/tex] both variables k has 1 as their coefficient.
A baker at a bakery had made 20 pastries after 1 hour of work. After 8 hours, he had made 83 pastries. M= ?
9514 1404 393
Answer:
9 pastries per hour
Step-by-step explanation:
In the 7 hours after the first, the baker made 83 -20 = 63 more pastries. That rate is ...
(63 pastries)/(7 hours) = 9 pastries per hour
_____
Additional comment
We have chosen to interpret the question as asking for the slope of a line on a graph of pastries vs. hours. Such a graph would show you the baker started with 11 pastries already made, so didn't actually make 20 in the first hour.
Evaluate the expression for x = 15
x - 9
9
24
6
12
please help
Answer: 24
Step-by-step explanation:
A line passes through point (-10, – 4) and has a slope of -3/2
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
9514 1404 393
Answer:
3x +2y = -38
Step-by-step explanation:
When a point and the slope are given for a line, the point-slope form of the equation is useful.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = -3/2(x -(-10))
y + 4 = -3/2x -15
Multiplying by 2 gives ...
2y +8 = -3x -30
Adding 3x-8, we get ...
3x +2y = -38
Answer:
3x + 2y = -38
Just plug in the x and y values to get the answer!
We already know that when x is -10 y = -4 so all we have to do is substitute them.
y = mx + b
-4 = -3/2(-10) + b
-4 = 30/2 + b
-4 = 15 + b
-19 = b
After 4 minutes of reading, Aaron was on page 14 of his book. After 8 minutes he was on page 20. Which equation models the page number, y, in terms of minutes x?
Answer:
B
Step-by-step explanation:
4×14=568×20=160160×56=8960Please help me ASAP!!!
Answer:
The answer is 100% without a doubt A
Step-by-step explanation:
Answer:
get stickbugged lol
Step-by-step explanation:
lol XD
Help plz:))) I’ll mark u brainliest
ASAP!!!
Marcus wants to buy 4 candy bars. Each candy bar costs $1.74. If he uses a coupon for $0.50 off the price of one candy bar, how much will Marcus owe for the 4 candy bars?
If Peter pays $84 to buy a watch after a discount of 30%, find the original price of the watch
(Original price) - 0.30p = 84
Let p = Original Price of the watch
p - 0.30p = 84
0.70p = 84
p = 84 ÷ 0.70
p = 120
The original price of the watch is $120.
Answer:
The original price was $120.
Step-by-step explanation:
Let the original price of the watch be w.
Then the discount is 0.30w and the discounted price is (1-0.30)w, or 0.70w.
Writing an equation in w, we get 0.70w = $84.
Solving this for w, we divide both sides by 0.70:
w = (84)/0.70 = $120
The original price was $120.
Maria ha acquistato un libro, scontato del 15%, al prezzo di 34 euro. Dopo avere letto 1/4 delle pagine del libro. Legge 2/3 delle pagine rimanenti e a questo punto le restano da leggere 104 pagine. Determina:
Il prezzo del libro prima dello sconto
Il numero di pagine complessive del libro
La percentuale che rappresenta il numero di pagine che restano da leggere a Maria rispetto al numero di pagine complessivo.
Answer:
a) 40 euros
b) 416 pages
c) 25%
Step-by-step explanation:
This question can be translated to:
Maria bought a book, discounted by 15%, at the price of 34 euros. After reading 1/4 of the pages of the book. She reads 2/3 of the remaining pages and at this point, she has 104 pages left to read. Determine:
a) The price of the book before the discount
b) The total number of pages in the book
c) The percentage that represents the number of pages that Maria has left to read out of the total number of pages.
I will answer in English.
a) If P is the price of the book, with a discount of the 15% the price will be:
P' = P - P*(15%/100%) = P - P*0.15 = P*0.85
and P' = 34 eur
34 eur = P*0.85
34 eur/0.85 = 40 eur = P
The original price was 40 euros.
b) Now suppose that the book has N pages.
First, she reads 1/4 of the pages, then we have:
N - (1/4)*N = (3/4)*N pages left.
Then she reads (2/3) of the remaining (3/4)*N pages.
Then there are:
(3/4)*N - (2/3)*(3/4)*N = (1/3)*(3/4)*N = (1/4)*N
And we know that at this point, there are 104 pages left, then:
104 = (1/4)*N
104*4 = N = 416
c) The total number of pages is 416, this is the 100%
there are 104 pages left in the book, this will represent X%, and we want to find the value of X.
then:
416 = 100%
104 = X%
Let's take the quotient of those two equations:
(416)/(104) = (100%/X%)
Now let's isolate X%.
X% = (104/416)*100% = 0.25*100% = 25%
look at picture************^^^^
URGENT
PLEASE AND HELP MY FRIEND SHE/HE WILL MARK BRAINLIST
https://brainly.com/question/19458627?utm_source=android&utm_medium=share&utm_campaign=question
Answer:
What?
Step-by-step explanation:
Okay.
Evaluate each using the values given. You must show all the work including the steps to solve.
1) 5 + x(y2 - (x + 2)); use x = 2, and y = 4
LOOK AT PICTURE THEN ANWSER QUESTION, WHOEVER HAS CORRECT ANSWER I WILL MARK BRAINIEST!
Rita has taken out a loan for $2000 to help pay for a car. The 2-year loan has 12% simple annual interest. What is the total amount of money that she will have paid back at the end of the 2 years?
Answer:
$480
Step-by-step explanation:
Assuming she dosen't miss any payments, after 2 years she will have paid $480 as 12% of 2000 is 240 and 240 times 2 = 480.
Hope this helps!
Answer:
2,480
Step-by-step explanation:
The answer is 2,480! :D
Answer my math question I asked so many times I lost most of points by
Answer:
im sorry i wish i can help
Step-by-step explanation:
f(x) = 6x + 5. Work out, simplifying fully: 2f(x) + 6.
Unit : Negative Numbers < Addition & Subraction !! Answer In 20 Minutes !!!
Which Number Represents the expression - 2 + ( - 7/2) ?
Answer:
-5 1/2
i hope this helps <3
Answer:
[tex]-\frac{11}{2}[/tex] is the number which represents the expression [tex]-2+\left(\frac{-7}{2}\right)[/tex].
i.e.
[tex]-2+\left(\frac{-7}{2}\right)=-\frac{11}{2}[/tex]
Step-by-step explanation:
Given the expression
[tex]-2+\left(\frac{-7}{2}\right)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]=-2+\frac{-7}{2}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-2-\frac{7}{2}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:2=\frac{2\cdot \:2}{2}[/tex]
[tex]=-\frac{2\cdot \:2}{2}-\frac{7}{2}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=-\frac{2\cdot \:2}{2}-\frac{7}{2}[/tex]
[tex]=\frac{-2\cdot \:2-7}{2}[/tex]
[tex]=\frac{-11}{2}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{11}{2}[/tex]
Therefore, [tex]-\frac{11}{2}[/tex] is the number which represents the expression [tex]-2+\left(\frac{-7}{2}\right)[/tex].
i.e.
[tex]-2+\left(\frac{-7}{2}\right)=-\frac{11}{2}[/tex]
find the difference (10j-7)-(9j-2)
Answer:
j-9
Step-by-step explanation:
combine like factors
subtract nine from both sides, j-7=-2
subtract 2 from both sides, -2-7=-9, j-9
Answer:
j-5
Step-by-step explanation:
(10j - 7) -(9j - 2) = x
(10j - 7) = x + (9j - 2)
10j - 7 = x + 9j - 2
10j - 9j -7 + 2 = x
x = ( j - 5)
PLS HELP THIS IS IMPORTANT OFFERING 20 POINTS
The exponential function f intersects the x-axis at the point (2,0) and intersects the y-axis at the point (0,-5.25)
If g(x) = 3x - 2, which statement is true over the interval [0, 2]?
A.
The average rate of change of g is equal to the average rate of change of f.
B.
The average rate of change of g is greater than the average rate of change of f.
C.
The average rate of change of f cannot be determined using the information given.
D.
The average rate of change of g is less than the average rate of change of f.
Answer:
A.
Step-by-step explanation:
Please help thank you so much
Answer:
No
Step-by-step explanation:
It would work for the bottom equation, but plugging in to the top equation would equal -4>3, which is false.
Answer:
no
when the point is plugged into the first inequality, it does not work therefore it is not a solution
-x+2y=6 and -x+8y=12 solve by elimination (help please)
Answer:
Step-by-step explanation:
-x+2y=6
-x+8y=12
_________
-6y = -6 ( subtracting 2 equations)
y=1
x=-4
The tax on soda is 3 cents per ounce. How much is 3 ounces
Answer:$9
Step-by-step explanation:
Graph h(x)=8 I x+1 I -1.
Answer:
search it up its there
Step-by-step explanation:
For each inequality, determine whether -3 is part of the solution set. (I clicked things on mistake so ignore what I’ve already bubbled in)
Answer:
Yes, No, No, Yes
Step-by-step explanation:
Hope this helps. Pls give brainliest.