It is easiest to solve this system by elimination.
4x-8y=44
(2x+4y=-6) -2 ----> multiply the second equation by -2 to create equations where the x coefficients are opposites
4x-8y=44
(+) -4x-8y=12
-16y=56
y = -7/2
now substitute the value of y into one of the above equations and solve for x
4x – 8(-7/2) = 44
4x + 28 = 44
4x = 16
X = 4
So, the solution is (4, -7/2)
The solution of the system of equations 4x-8y=44 and 2x+4y=-6is (4, -3.5).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equation is 4x-8y=44 ...(1)
and 2x+4y=-6...(2)
To eliminate y term we have to multiply equation 2 with 2.
4x+8y=-12..(3)
Now add equation 1 and 3.
4x-8y+4x+8y=44-12
8x=32
Divide both sides by 8
x=4
Now plug in x value in equation 1
4(4)-8y=44
16-8y=44
Subtract 16 from both sides
-8y=44-16
-8y=28
Divide both sides by 8
y=-28/8
y=-7/2
=-3.5
Hence, the solution of the system of equations is (4, -3.5).
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point slope form problem
Answer:
y+9=1/5(x+4)
Step-by-step explanation:
plug into the formula
Find the missing measure.
51°
x
Answer: It's 129°
Step-by-step explanation: Because we know x and 51 are supplementary angles (add up to 180), We can do x + 51 = 180, to figure out that x is equal to 129°.
Hope this helps :)
15 points PLEASE HELP
Kirk earns $27.50 an hour and he worked 80 hours this pay period. His deductions are $396 for taxes. $264 for insurance, and $175 for retirement What is
his net pay for this pay period?
Answer:
27.50(80) is 2,200
2,200-396-175-264= 1,365
I think this is how u do it correct me if I'm wrong
Find the percent of increase from 8 to 10 feet
Answer:
25%
Step-by-step explanation:
[tex]percentage \: increase \\= \frac{10 - 8}{8} \times 100 \\ \\ = \frac{2}{8} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25 \%[/tex]
The increase in height from 8 to 10 feet is 25%. To calculate a percentage, divide the value by the total value and multiply the result by 100.
How to calculate percentage?To calculate a percentage, divide the value by the total value and multiply the result by 100. (value/total value)100% is the formula for calculating percentage. Divide the number you want to convert to a percentage by the total. In this case, divide 2 by 5. 2 divided by 5 equals 0.4. Then, multiply 0.4 by 100 to get 40, or 40%.Divide one number by the other and multiply the result by 100 to find the percentage of a number between two numbers. To calculate the percentage, divide the value by the total value and multiply the result by 100.Therefore,
percentage increase
= (10 - 8) / 8 × 100
= 2/8 × 100
= 1/4 × 100
= 25%
Hence, The increase in height from 8 to 10 feet is 25%.
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What is the discriminant of the equation 3x^2-4=2x
Given equation : 3x² - 4 = 2x
We have to find discriminant of the equation [tex].[/tex]
⭆ 3x² - 4 = 2x
⭆ 3x² - 2x - 4 = 0
By comparing this equation with ax²+bx+c, we get
a = 3b = -2c = -4Discriminant (D) = b² - 4ac
⭆ D = (-2)² - 4(3)(-4)
⭆ D = 4 + 48
⭆ D = 52
Hope It Helps!What does v equal? ;-;
Answer:
v=-3
Step-by-step explanation:
-1=1/3v
-1*3=v
-3=v
Answer:
Step-by-step explanation:
[tex]-1 = \frac{1}{3} v[/tex]
Multiply by 3
[tex]-3 = v[/tex]
-9y+7=24y-4. Solve for y.
Answer:
y=1/3
Step-by-step explanation:
-9+7=24y-4
7=33y-4
11=33y
y=1/3
What are the measures of each interior and exterior angles of regular quadrilateral MNOP?
Answer:
A regular polygon is a polygon that is equilateral and equiangular.
The only regular quadrilateral is the square.
We know that all the interior angles of a square are 90° each, so we are fine with that.
Now, for the exterior angles.
If we fix our position in the vertex, we can do from one side, to the same side, a full rotation of 360°.
Now, if we only do an external rotation, this means, from one side to other side, we will do a rotation of 360° minus the interior angle:
this is:
360° - 90° = 270°
Below is an image as a guide of this.
How do we explain the Riemann sum process that leads to the definite integral that computes arc length?
Step-by-step explanation:
Consider two points on a curve, (xᵢ, yᵢ) and (xᵢ₊₁, yᵢ₊₁). The distance between them can be found with distance formula:
d = √((xᵢ₊₁ − xᵢ)² + (yᵢ₊₁ − yᵢ)²)
d = √((Δx)² + (Δy)²)
Factor out Δx:
d = √(1 + (Δy/Δx)²) Δx
Adding up the distances from i=1 to i=n, the total arc length can be approximated as:
s ≈ ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx
Taking the limit as n approaches infinity, we get the exact value of s:
s = lim(n→∞) ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx
Which can be written as a definite integral:
s = ∫ₐᵇ √(1 + (dy/dx)²) dx
How many meters are equivalent to 2 miles?
Units of Length
O 1.242 meters
O 3.22 meters
Customary System
Units
Metric System Units
O 1,242 meters
O 3,220 meters
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
Answer: D 3,220 meters
Step-by-step explanation:
I did it
Answer:
The correct answer is D, please give the person above me brainliest
Step-by-step explanation:
#edge2020
Help! I’ll mark you brainly and give extra points!!
Its in the file.
Hope it helps ;)
If jimmy has 3 billion dollars and subtracts a dollar how much does he have
Answer:
2,999,999
Step-by-step explanation:
2,999,999
Step-by-step explanation:
dont need a explanation its obvious
A bicyclist at White’s 14 miles in 112 minutes. If she continues at this speed, how long will it take her to travel 35 miles?
Answer:
280 minutes.
Step-by-step explanation:
112/14=8
8*35=280
6 divided by 938 long division
What is | -8|
—16
-8
8
16
Answer:
8
Step-by-step explanation:
scince it has the lines that mean that it will always be positive.
Answer:
8
Step-by-step explanation:
Have a nice day!
Please help answer this question!:)
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The first step I would do is to subtract the 2x from both sides so the answer is choice D.
=2 2/5 x 4 (What is the answer?)
Answer:
um 22 /20
is the question
if it's the case of factorised
than answer is 11/10
Answer:
48/5
Step-by-step explanation:
I will assume that you mean [tex](2\frac{2}{5}) \cdot 4[/tex].
This is equivalent to [tex](\frac{12}{5}) \cdot 4 = \boxed{\frac{48}{5}}[/tex]
What is the difference between -82°F and 93°F?
Answer:
175°F
Step-by-step explanation:
The difference between -82 and 0 is 82.
The difference between 0 and 93 is 93.
Add these two numbers together to find the total difference:
82 + 93
= 175
So, the difference is 175°F
What is the solution of log (2 t + 4) = log (14 minus 3 t)?
A. -18
B. -2
C. 2
D. 10
Answer:
-2
Step-by-step explanation:
Use the distributive property to remove the parentheses -9(-4x+3w-1)
Answer:
36x - 27w + 9
Explanation:
Multiply the outside by everything on the inside
Answer:36x-27w+9
Step-by-step explanation:
A negative times a negative is positive and a negative times a positive is negative so you take -9 and times it by each number. -4x, 3w,-1 Keep it in the same order
Determine the effective annual yield for each investment.
Then select the better investment. Assume 360 days in a year.
A. 9% compounded monthly
B. 9.25% compounded annually
A truck can be rented from Company A for $130 a day plus $0.40 per mile. Company B charges $70 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
You have to use the equation 130+.40x and 70+.60x just replace x with any number, but the answer to each equation must be the same.
Step-by-step explanation:
Answer:300 miles
Step-by-step explanation:
130+.4m=70+.6m
130=70+.2m
60=.2m
300=m
On field trips there must be 2 chaperones for every 15 students which ratio correctly express the ratio of students
Answer:
15:2 or 15 to 2
Step-by-step explanation:
They are asking for a ratio based on how many chaperones per student (in this case 15 students) In other words 15 students for every 2 chaperones.
Due today please help
And also explain
Answer:
Step-by-step explanation:
Work out 2 1/3 divided by 1/4
Answer:
9.3333333
Step-by-step explanation:
Answer:
[tex] \frac{9}{4} \div \frac{1}{4}
\frac{9}{4} \times \frac{4}{1}
= \frac{34}{4} \\ \\ \\ \\ = 9[/tex]
The Perimeter of a triangle is 90 cm. The triangle has side lengths of 2x + 5, 4x - 10, and x + 4. Find the value of x and the length of each side.
Answer:
I don't understand oof oof
Step-by-step explanation:
Margie is offered two different jobs. The first is as a
cashier at a grocery store where she'd work for 22
weeks and earn $350.00 per week. The second is as a
dog walker where she'd work for 8 months and would
earn $1375.00 per month with monthly raises of 5%
of the previous months salary. How much more does
Margie earn if she takes the dog walking job?
Answer:
$424552300
Step-by-step explanation:
Rewrite 1/5 barrel 1/2hour as a unit rate
Answer:5/8
Step-by-step explanation:i took the exam
What is the slope of the line whose equation is 5x+2y=10 ?
A. 2/5 C. -2/5
B. 5/2 D. -5/2
Please Help!!
Answer:
D
Step-by-step explanation:
You can rewrite the equation into slope intercept form and you get Y=10-5x/2 (The whole problem is being divided by 2).
You can leave -5/2 as it is because it's a lot easier to plot the point using Rise over Run or Rise/Run.
Hope this helps! :)
2.) Bill sells cleaning products on commission. He earns 40% commission on his sales. If
he has sales of $983, how much commission does he earn?
Answer:
$393.20
Step-by-step explanation:
There are two easy ways to solve this:
1) Use a setup and cross multiply.
First, set up your problem.
$ x = 40%
$983 100%
$983 is the total amount, so it is equal to 100%. We're trying to find 40% of it, so we can label the amount as $x. Remember, each side has to be in the same type of measurements (i.e. dollars, percentages, inches, etc.).
Then, cross multiply. You should end up with:
100x = 39,320
Then, simplify.
x = 393.2
x = $393.20
2) Convert the percentage to a decimal and multiply.
First, convert the percentage you're looking for into a decimal:
40% × 100 = 0.4
Then, multiply the decimal with the total sales amount:
$983 × 0.4 = 393.2
= $393.20
40% × 100 = 0.4
$983 × 0.4 = $393.20
Bill earns $393.20 commission total.
