Answer:
Your solution is (-10, 6).
Step-by-step explanation:
Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.
-5x + y = 56
x + y = -4
Let's change the second equation into one with one variable on each side.
y = -x - 4
Now, plug this into your first equation.
-5x + (-x - 4) = 56
Distribute the + sign.
-5x - x - 4 = 56
Combine the like terms.
-6x - 4 = 56
-6x = 60
Isolate x by dividing both sides by -6.
x = -10
Now plug this back into either equation.
-10 + y = -4
Add 10 to both sides to find y.
y = 6
Your solution is (-10, 6).
Check this by plugging in these values into the equation you have not checked yet.
-5(-10) + (6) = 56
50 + 6 = 56
56 = 56
Your solution is correct.
Hope this helps!
Answer:
x=-10; y=6
Step-by-step explanation:
combine the equations:
-5x + y + x + y = 56 +(-4)
-4x + 2y = 52
add 4x to each side
2y=52+4x
divide by 2
y=26+2x
now substitute 26+2x for y in the second equation:
x + 26 + 2x = -4
3x + 26 = -4
3x = -30
x = -10
therefore y = 6
Find the 25th term in the arithmetic sequence: 23, 223, 423, 623,...
Answer:
Step-by-step explanation:
Assuming that 23 is the first term
4823
25th term of arithmetic sequence is 4,823
Given arithmetic sequence:
23, 223, 423, 623,...
Find:
25th term of arithmetic sequence
Computation:
First term a = 23
Common difference d = A2 - A1
Common difference d = 223 - 23
Common difference d = 200
Number of term n = 25
So,
An = a + (n - 1)d
A25 = 23 + (25 - 1)(200)
A25 = 23 + (24)(200)
A25 = 23 + 4,800
A25 = 4,823
Learn more:
https://brainly.com/question/18109692?referrer=searchResults
Vinnie decorated 72 cookies in 36 minutes. How many cookies did he decorate per minute? My sister asked this XD
2 cookies per minute
please find the m∠DEY
Answer:
41, x=-5
Step-by-step explanation:
m<DEY = m<FEY, by angle bisector theorem
(9x-4) = 41
9x = 45
x = 5
m<DEY = 41
Jonah deposited $80 in a savings account earning 5% interest, compounded annually. To the nearest cent, how much interest will he earn in 3 years?
what one is it? help pls
Answer:
(-2, 0)
Step-by-step explanation:
the y-intercept is (-2, 0), therefore that the solution.
-2w - 5w=
Please help
Answer:
-7w
Step-by-step explanation:
Answer:
-7w
Step-by-step explanation:
please answer part one!!!! and fill out the chart
Answer:
39
33
205
Step-by-step explanation:
77-38
128-95
134+71
(b) What per cent is1/2
dozen of one score?
Answer:
1/2 dozen of one score is 30%.
Step-by-step explanation:
As we know that 1 dozen = 12 units.
1/2 dozen = 1/2 times 12=6 units
1 score = 20 units.
By using this conversion, we get
6/2 times 100=30%
So 1/2 dozen of one score is 30%
i have this due in like 10 minutes please help!!
Answer:
1- a
2- b
3- c
4- d
Step-by-step explanation:
For any operation you have to separate the numbers from the unknown quantities (x, y) and then simplify them by solving them with quantities you are familiar with.
Example:
7x + 8 - 6 + 3x
7x + 3x + 8 - 6
you can only solve operations if they are both natural or algebraic numbers
10x + 2
Hope it was helpful ;)
Two planes leave an airport at the same time, one flying east, the other flying west. The eastbound plane travels 130 mph slower. They are 3850 mi apart after 5 hr. Find the speed of each plane.
Answer:
Speed of the slower plane = 320 mph
Speed of the faster plane = 450 mph
Step-by-step explanation:
Let the speed of the slower plane = x mph
And the speed of the faster plane = y mph
Difference in their speeds = 130 mph
y - x = 130 --------(1)
Formula for the distance traveled = Speed × time
Distance traveled by the faster plane in 5 hours = 5y miles
Distance traveled by the slower plane in 5 hours = 5x miles
Total distance traveled by both the planes in 5 hours = 5(x + y) miles
5(x + y) = 3850
x + y = 770 ---------(2)
By adding equations (1) and (2)
2y = 900
y = 450 mph
From equation (2)
x = 770 - 450
x = 320 mph
Find the unit rate. Enter your answer as a mixed number. 7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.
Answer:
Step-by-step explanation:
7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.
does anyone know the answer
Answer:
(1,2)
Step-by-step explanation:
easy lol
brainliest??
What are you trying to find?
Answer: (1,2)
2 + 1 = 3
2 - 1 = 1
If the triangle are similar, write a similarity
I’ll give you a virtual hug if you answer this right
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation
Explanation:
We would use AA similarity criterion here because we can see two of the angles in each triangle are equal.
28 songs to 49 songs what is the percent
Answer:
The answer is about 57.1 %
Step-by-step explanation:
The table above shows the height of a plant
at the end of each week. The height
increases by the same amount each week. If
this pattern continues, what will be the
height, in inches, of the plant at the end of
the 7th week?
(A) 1.25 in
(B) 1.50 in
(C) 1.75 in
(D) 2.00 in
Answer:
(C) 1.75 in
Step-by-step explanation:
It give you a clue in the question that the height increases by the same amount each week. This means that if you add 0.25 you will get a constant answer. What I mean by constant is this :-
0.25 + 0.25 = 0.5 in
I can also do it by multiplying it by 2.
2 × 0.25 = 0.5 in
If you add 0.25 every time or if you multiply 0.25 by the number of weeks you will get your answer same. So,
7 × 0.25 = 1.75 in
Hope this helps, thank you !!
Answer:
c
Step-by-step explanation:
find the value of y.
Answer:
just take the 96 and 66 and middle it then take y multiply that=answer
Step-by-step explanation:
Answer: 48
Step-by-step explanation: 96/2
Evaluate the exponential function
f(x) = 3x ; x = -2
Answer:
-6
Step-by-step explanation:
Plug (-2) in for X in the equation
3(-2)
-6
What is the perimeter?
Explain how you got that.
Answer:
The perimeter is 60in.
Step-by-step explanation:
Perimeter = the outer length
Add all the lengths
8 + 8 + 4 + 8 + 4 + 8 + 4 + 12 + 4
= 60 in
5 more than the product of 12 and 8
What is the slope of line a?
========================================================
Explanation:
Start at the point (0,1). This is the y intercept, which is where the graph crosses the y axis.
Then move down 1 and over to the right 4 spaces. We arrive at (4,0) which is the x intercept.
The process of "down 1, over to the right 4" can be thought of like this
rise/run = -1/4
rise = -1
run = 4
A rise of -1 indicates we go down 1 unit
The run of 4 means we move to the right 4 units
So that's why slope = rise/run = -1/4
-------------------------------------------------------
Here's another approach using the slope formula:
m = (y2-y1)/(x2-x1)
m = (0-1)/(4-0)
m = -1/4
I used the two points (0,1) and (4,0) as (x1,y1) and (x2,y2) respectively. This formula basically says "subtract the y coordinates, subtract the x coordinates in the same order, then divide the differences y over x".
-------------------------------------------------------
Side note: The line moving downhill, as we read from left to right, indicates a negative slope.
The sales tax for an item was $9.80 and it cost $490 before tax. Find the sales tax rate. Write your answer as a percentage.
Answer:
2%
Step-by-step explanation:
To solve this problem, a proportion would be best! We can set up the first fraction with the two numbers given to us. We'll use t to represent tax, and w to represent the whole. The first fraction will look something like this:
[tex]\frac{9.80t}{490w}[/tex]
Next, we'll set up our second fraction using knowledge of percents. Every percent is a part of 100%, so we can use 100 as our percent to represent the whole. Since we are solving for the percent that is out of 100, we'll use x to represent it. The final proportion should look like this:
[tex]\frac{9.80t}{490w} = \frac{x}{100w}[/tex]
To solve, we just need to cross-multiply and divide! First, multiply 9.80 by 100 to get 980. Finally, divide 980 by 490 to get a final answer of 2%. The sales tax rate is 2%. The final calculations are as follows:
9.80 X 100 = 980
980 / 490 = 2 or 2%
Mrs Jones uses 1/4 of a packet of spaghetti each time she cooks pasta.
How many meals will 5 packets of spaghetti last for?
The temperature on a spring day is 70 degrees. The temperature increases by 1 degree every hour. Which of the following representations does not show the relationship between the number of hours (h) elapsed and the temperature (T) it has reached?
Answer:
B. [tex]T=h[/tex]
*Sorry, I'm probably too late
Step-by-step explanation:
If the answer was [tex]T=h[/tex], the starting temperature would be [tex]0[/tex]. This is wrong because the starting temeperature is supposed to be [tex]70[/tex].
can someone help me please.
Answer:
option 3 is the answer
.......
Find the value of x.
Answer:
x = 4Step-by-step explanation:
DE║AC ⇒ From Thales: [tex]\dfrac{BD}{BE}=\dfrac{DA}{EC}[/tex]
Therefore:
[tex]\dfrac{10-x}{3}=\dfrac{x}2\\\\2(10-x)=3x\\\\20-2x=3x\\\\20=5x\\\\x=4[/tex]
Find the value of x.
ABCD ∼ EFGH
Determine the slope and the y-intercept of this question Y=-1/2x+3
slope=
-1/2
y-intercept=
3
Answer:
1/2
Step-by-step explanation:
find x for problem c please
Answer:
here is my solution:
let me know if you have any questions please
Write 2 equivalent fractions for the following fractions, use 2/2 and 3/3. 2/3
Answer:
[tex]\frac{4}{4} ,\frac{5}{5}[/tex]
Step-by-step explanation:
In order to find the answer to this question you need to remember that if the denominator and the numerator are the same they equal one or one whole.
[tex]\frac{2}{2} =1[/tex]
[tex]\frac{3}{3}=1[/tex]
[tex]\frac{4}{4}=1[/tex]
[tex]\frac{5}{5} =1[/tex]
As long as the numerator and the denominator are the same they will be equivalent to 2/2 and 3/3.
Hope this helps.
The graph of a translated exponential function is shown below. Its parent function is y = 4x.
If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?
PLEASE HURRY!
The graph of a translated exponential function is shown below. Its parent function is y = 4x.?
The function has been translated down 3 units and right 2 units. The equation of the graphed function is
.. y = -3 +4^(x -2)
If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?
i don`t know the answer to this one tho,very sorry
Answer:
y = [tex]4^{x - 2}[/tex] - 3
Step-by-step explanation: