Answer:
x= -4 y= -1
Step-by-step explanation:
6x - y = - 23
-y=-23-6x
y=6x+23, use this to plug in for y in the second equation.
2x + 5y = -13
2x + 5(6x+23) = -13
2x+30x+115=-13
x= -4, use this to plug in for x in the first equation.
6x - y = - 23
6(-4)-y=-23
-24-y=-23
-y=-23+24
-y=1
y= -1
The values after solving the equations by substitution is that the value of x is -4 and the value of y is -1.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the provided data in the question,
6x - y = -23 (i)
2x + 5y = -13 (ii)
Multiply equation (ii) by 3
6x + 15y = -39 (iii)
Solve equation (i) and (iii)
-16y = 16
y = -1
Substitute y = -1 in equation (i)
6x = -23 - 1
x = -4.
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A rectangle is 45 cm on one side and 6 cm on another side. What is the perimeter?
Answer:
102 cm
Step-by-step explanation:
45 + 45 = 90
6 + 6 = 12
90 + 12 = 102
Be first to answer! :)
Answer:
2x + 200 = 6x + 120
Step-by-step explanation:
Super-Clean house cleaning company: 2x + 200
Power Bright: 6x + 120
Now, they have to be equal because we are trying to find the equation for total charges.
So, your equation would be 2x + 200 = 6x + 120.
Hope this helps!
Answer:
Step-by-step explanation:
Let the number of linear feet = x
Let the total cost = y
Condition One
y = 200 + 2x
Condition Two
y = 120 + 6x
Now you want the ys to be the same.
200 + 2x = 120 + 6x
Does anyone know how to find this I'm studying and me and my family don't understand! I only need help on #17
Answer:
4
Step-by-step explanation:
Hi so basically you just convert the inches to decimals so
0.5 x 0.5 x 0.25 = 0.0625
Use a calculator to convert 0.0625 into fraction which is [tex]\frac{1}{16}[/tex]
Multiply [tex]\frac{1}{4}[/tex] by 3 = [tex]\frac{1}{64}[/tex]
Then multiply [tex]\frac{1}{16}[/tex] by [tex]\frac{1}{64}[/tex] = 4
Soo that was probably very confusing, but I hope it helps! :)
Plz click the Thanks button, I rrly appreciate it!
Answer:
length: 2 cubeswidth: 1 cubeheight: 2 cubesvolume: 4 cubesStep-by-step explanation:
We assume in this context that a "1/4 unit cube" is a cube that is 1/4 unit on a side. When the "unit" is "inches", then the "1/4 unit cube" is a cube that is 1/4 inch on a side.
It should not take too much thought to realize that a dimension that is 1/2 = 2/4 inches will be 2 cubes long. A dimension that is 1/4 inch will be 1 cube long.
Then the 1/2 by 1/2 by 1/4 prism will have dimensions in "cubes" of ...
2 cubes × 2 cubes × 1 cube
As with any rectangular prism volume calculation, the volume is the product of the dimensions:
V = LWH = (2)(1)(2) = 4 . . . cubes
_____
For this prism, it should not be too difficult to see that if you stack 2 smaller cubes on top of two smaller cubes, the overall dimensions of that will be 1/2 inch wide by 1/2 inch high by 1/4 inch deep.
_____
Additional comment
Which dimensions you call length, width, and height are irrelevant, as each is interchangeable with any other in the formula for volume. Here, I have elected to call height the vertical dimension, length the left-right horizontal dimension, and width the front-back dimension. You are welcome to choose an assignment of names to dimensions that suits your taste (or that of your grader).
True or False
The greater (the absolute value of) the slope, the steeper the line.
Answer:
true
Step-by-step explanation:
Find three angles coterminal to an angle of 1 radian
Answer: Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found?
Step-by-step explanation:
Write three numbers that round to to 60,000 when rounded to the nearest ten thousand
Answer:
Examples of such numbers are;
59,995
60,001
58,754
Step-by-step explanation:
Here, we want to write three numbers which when rounded to the nearest ten thousand is 60,000
We can suggest the following;
59,995
60,001
58,754
help ;-;........ ;v;
Answer:
$163
Step-by-step explanation:
Bob worked 26 hours and earn $7 per hour. Multiply 26 with 7:
26 x 7 = 182
Bob made a total of $182 last month.
Bob then spent $19. Subtract 19 from the total earned:
182 - 19 = 163
Bob has $163 left.
~
Answer:
He has $163 dollars left
Step-by-step explanation:
Because first we needed to find out how much did he make in 26 hours, 29 (hours) x $7 (per hour) = $182
Then he spent $19, $182 (how much he made in 26 hours) - $19 (how much he spent) = $163
Please help! Due tomorrow!
Asheville, Candler, Canton, and Oteen are on the map. The scale for the map is 1/4 inch represents one mile.
PART A - If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?
PART B - If Candler and Oteen are 3 1/2 inch apart on the map, what is the actual distance between candler and Oteen in miles?
PART A: 2.25
PART B: 14
3/5x = -15 one or two step equations
Answer:
x=1/25
Step-by-step explanation:
Answer: -25
Step-by-step explanation:
You would have to divide both sides by 3/5 which is the same as multiplying by 5/3.
x = -15*5/3
x = -75/3 = -25
What is 3 ÷ 2/5
The quotient is 7 and _____
Answer:
smart boy/girl !
Step-by-step explanation:
1/2
Answer:1/2
explanation:I did the test but I got the answer wrong because I thought it was 7 and 1/5 , but it’s 1/2
what is the absulute value of -54
Answer:
54
Step-by-step explanation:
Absolute value is the number without the negative. Next time just remove the negative and you're all set!
what is the equation for cx+4y=8t when your solving for x
Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.
According to a study, for every 50C increase in rental price, the average business can expect to lose 4 rentals a day.
Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases.
b(x)= x + x+ [
Answer:
b(x) = -2X² + 19X + 114
Step-by-step explanation:
b(x) = total revenue generated per day
total revenue formula ⇒ b(x) = price x quantity
price = $3 current price + 0.5X price increase = 3 + 0.5X
quantity = 38 current quantity sold - 4 books per X = 38 - 4X
b(x) = (3 + 0.5X) · (38 - 4X)
b(x) = 114 -12X + 19X - 2X²
b(x) = -2X² + 19X + 114
What is the difference of the polynomials below?
(2x²-3x+8)-(3x²+7x--2)
A)-x²-4x+10
B)-x²-10x+10
C)5x²+4x+6
D)x²-10x+10
Answer:
B
Step-by-step explanation:
(2x² - 3x + 8) - (3x² + 7x - 2)
~Distribute the negative sign
2x² - 3x + 8 - 3x² - 7x + 2
~Combine like terms
-x² - 10x + 10
Best of Luck!
It takes 19.8 hours of work to plant a field of vegetables. Each person in the Fram family worked for 3.3 hours to help plant the field. How many people are in the Fram family?
Answer:
There are 6 people in the Fram family
Step-by-step explanation:
19.8 ÷ 3.3 = 6
Hope this helped!!
Answer:
19.8
3.3
19.8/3.3
6
Step-by-step explanation:
got it right
What's the expression? (HELP!!) 25POINTS
Answer: it looks like a commutative expression
Step-by-step explanation: im pretty sure im wrong, goodnight
Find the next term of the square 16,9,2,-5....
Answer:
- 12
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
9 - 16 = 2 - 9 = - 5 - 2 = - 7
Thus to find the next term subtract 7 from the previous term, that is
- 5 - 7 = - 12
Evaluate:-7(-6) =
Plz help me I’m in a test
Answer:
positive 42
Step-by-step explanation:
because to negatives make a positive and then you would multiply the two by eachother because they are directly beside eachother and then you do 7*6 which equals to 42 I really hoped this helped you
Cara has two pieces of ribbon, one 15 inches long and the other 20 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them?
Answer:
5 inches
Step-by-step explanation:
Given that :
There are two pieces of ribbon with length:
15 inches and 20 inches
To cut ribbon into equal sizes with no ribbons left ; the greatest length in inches of the ribbon would be :
Calculate the greatest common factor of both lengths : 15 inches and 20 inches
____15___20
_5__ 3___4
OR
Find the factors of 15 and 20 and pick the greatest common to both
15 : 1, 3, 5, 15
20 : 1, 2, 4, 5, 10, 20
Greatest factor common to both = 5
Hence the greatest length she can cut the ribbons into without any leftover is 5 inches
Somebody please help me
Answer:
i think its the third one i could be wrong
Step-by-step explanation:
I think its the last one
find the rate of interest when principal rs 6400 SIMPLE INTEREST RS 768 and time 2 years
Answer:
rate of interest is 6 percent per annum.
Step-by-step explanation:
Formula for simple interest is given
SI = p*r*t/100
where
SI is simple interest
p is principal
r is the rate of interest
t is the time
_______________________________
Given
p = 6400
SI = 768
t = 2 years
r we have to find
lest sue the above formula and plug the given value in it
768 = 6400*r*2/100
=> 768 = 128r
=> r = 768/128 = 6
Thus, r = 6%
thus, rate of interest is 6 percent per annum.
Your financial advisor tells you to put away 15% of your take home pay. If you make
$1,600 and put away $250 are you putting away enough???
Answer: Yes?
Step-by-step explanation:
15% of 1600 is 240 so i think so
someone plz help me the phot is attached
plz plz plz plz plz help WITH EXPLANATION PLZ :(
Answer:
-13/9 = x
Step-by-step explanation:
8/9 = x + 1/3(7)
~Simplify right side
8/9 = x + 7/3
~Subtract 7/3 to both sides
-13/9 = x
Best of Luck!
x= -13/9
1/3(7) = 1/3 x 7
1/3(7) = 7/3 = 2 1/3
Help with math! a, b, c or d? FAST
Answer:
d
Step-by-step explanation:
A pack of 8 AA rechargeable batteries costs $21.20. What is the cost per battery, in dollars and cents?
Answer:
2.65
Step-by-step explanation:
21.20 ÷ 8 = 2.65
HELP PLEASEEE!!!Determine whether or not each relationship represents a function. Explain your reasoning for the graph and also for the table.
y
-2
5
1
4
0
3
2
4
Answer:
It's not a function
Step-by-step explanation:
Due to the fact that at one x point there are multiple y values so this cannot be a function. The graph also does not pass the vertical line test, therefore it is not a function.
1. The graph is not represent a function.
2. The table shown in figure is represent a function.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The graph is shown in shown in figure.
And, In the table;
Value's of x are - 2, 1 , 0 , 2
And values of y are 5, 4 3 , 4
Now,
To check the graph is the function or not, we use vertical line test.
If the vertical line draw parallel to y - axis and it cuts more than one points in the graph, then the graph is not a function.
Here, When we draw a vertical line which is parallel to y - axis then it cuts more than one point, so it is not a function.
Thus, The graph is not represent a function.
2. In the table;
Value's of x (input) are - 2, 1, 0, 2.
And values of y (output) are 5, 4, 3, 4.
Clearly, Every input have exactly one output.
So, By definition of function;
The table shown in figure is represent a function.
Therefore,
1. The graph is not represent a function.
2. The table shown in figure is represent a function.
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PLEASE HELP QUICK
What's the equation of the graphed line?
a. -3x + 4y = 4
b. -3x – 4y = -4
C.-4x + 3y = 3
d. -4x – 3y = -3
Answer:
-3x – 4y = -4
Step-by-step explanation:
What is the Lcm for 25,60,150
Answer:
300
Step-by-step explanation:
ZLMN is a straight angle.
Find mZLMP and mZNMP.
(-16x + 13)-20x + 23)
M
N
27
m/LMP
m NMP =
Answer:
Step-by-step explanation:
-16x+13+-20x+23=180
-36x+36=180
-36x=144
X=-4
Then put -4 in -16(-4) + 13 = 77
Answer is 77
The angle LMP will be 75.22° and the angle NMP will be 104.77°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
∠LMN = ∠ LMP + ∠NMP
Since ∠LMN = 180°
So,
∠ LMP + ∠NMP = 180
-16x + 13 - 20x + 23 = 180
-36x + 40 = 180
36x = -140
x = -3.88
So,
∠ LMP = -16(-3.88) + 13 = 75.22°
So,
∠NMP = 180 - 75.22 = 104.77°
Hence "The angle LMP will be 75.22° and the angle NMP will be 104.77°".
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