Answer:
x = 3.33
y = 0.33
Step-by-step explanation:
to evaluate for y in this system of linear equation we would say that let
4x-2y=6 ........................................................... equation 1
2x+y=7 ..............................................................equation 2
from equation 2
2x+y=7 ..............................................................equation 2
y = 7 - 2x........................................... equation 3
substitute for y in equation 1
4x-2y=6 ........................................................... equation 1
4x -2( 7 - 2x) = 6
4x - 14 + 2x = 6
6x = 6 +14
6x = 20
divide both sides by 6
6x/6 = 20/6
x = 3.33
put x into equation 3
y = 7 - 2x........................................... equation 3
y = 7 -2( 3.33)
y = 7 -6.667
y = 0.33
Final answer:
To solve for y using the Addition Method, first manipulate the equations to have opposite coefficients for y, add them to find x, and then substitute x back into one of the original equations to solve for y. The solution is x = 2.5 and y = 2.
Explanation:
The student is asking how to solve for y in a system of linear equations using the Addition Method. The given system of equations is:
4x - 2y = 6
2x + y = 7
To use the Addition Method, we aim to eliminate one variable by adding the equations. First, we manipulate the equations to have opposite coefficients for the y variable. Multiply the second equation by 2:
(2x + y) × 2 → 4x + 2y = 14
Now we have:
4x - 2y = 6 (Equation A)
4x + 2y = 14 (Equation B)
Add Equation A and Equation B:
4x - 2y + 4x + 2y = 6 + 14
8x = 20
x = 20 / 8
x = 2.5
Substitute x back into the second original equation to solve for y:
2(2.5) + y = 7
5 + y = 7
y = 7 - 5
y = 2
Hence, the solution to the system of equations is x = 2.5 and y = 2.
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A triangle has 2 angles that each measure 81°.
What kind of triangle is it?
A.
isosceles triangle
B.
equiangular triangle
C.
obtuse triangle
D.
right triangle
Answer:
Explanation: An isosceles triangle is a triangle in which two of the three sides are the same length, or two of the three angles are the same degree.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If 2 angles are congruent, then it is an isosceles triangle (ALWAYS)
What is the degree measure of s? A) 106° B) 122° C) 131° D) 151°
Answer:
I need an angle to find the degrase.
Answer:
D)151
Step-by-step explanation:
61° + 90° = 151°
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
Find the volume of the sphere
what is the square root of 100
Answer:
the square root of 100 is +-10
Step-by-step explanation:
a square root is the number that when squared makes that number
10 squared =100
Answer:
Plus or minus 10
Step-by-step explanation:
10 times 10 is 100, also, -10 times -10 is 100
Which linear equation represents the data given in the table?
The linear equation represents the data given in the table is option D.
calculation:Here we used the elimination process. From the table of values, we can see that the y-intercept is -3 from the point (0,-3)Now y = mx+b where b= the y-interceptAnd option D represent the only equation where b = -3.Find out more information about the equation here: https://brainly.com/question/2263981?referrer=searchResults
What is a surface area?
Answer:
D
Step-by-step explanation:
in order to find the surface area, you have to add all of the surface area of the figure
Juanita is booking a 4-night stay at a hotel. The rate is $79 per room plus tax.
If state tax is 6%, city tax is 2%, and municipal tax is 1%, what is her total
lodging cost?
Final answer:
To determine the total lodging cost for Juanita's 4-night stay, multiply the nightly rate by the number of nights to get the pre-tax cost, calculate the total tax rate and apply it to the pre-tax cost to find the tax amount, and then add this tax to the pre-tax cost for the total cost. The total lodging cost, including taxes, will be $344.44.
Explanation:
Juanita is trying to calculate the total cost of a 4-night stay at a hotel with a nightly rate and additional taxes. To find Juanita's total lodging cost, a multi-step calculation is required. First, calculate the cost before tax by multiplying the nightly rate by the number of nights. Then, calculate the total tax by adding the state, city, and municipal tax rates and applying this sum to the pre-tax cost to get the total tax amount. Finally, add the tax amount to the pre-tax cost to find the total cost of the stay.
The nightly rate is $79 and she is staying for 4 nights, so the initial cost (before tax) is calculated as follows:
79 x 4 = $316
To calculate the total tax, convert the percentages to decimals and sum them up as follows:
State tax (6%) = 0.06
City tax (2%) = 0.02
Municipal tax (1%) = 0.01
Total tax rate = 0.06 + 0.02 + 0.01 = 0.09
Multiply the total tax rate by the pre-tax cost to find the total tax amount:
0.09 x 316 = $28.44
Finally, add the tax amount to the pre-tax cost to get the total lodging cost:
316 + 28.44 = $344.44
The total cost for Juanita's 4-night stay at the hotel, including all taxes, is $344.44.
Describe the difference between an angle with a positive measure and an angle with a negative measure.
Answer:
negative is rotating counter clockwise and positive is straight
Step-by-step explanation:
positive 180 degresse rotation
Positive angles result from counterclockwise rotation, and negative angles result from clockwise rotation.
What are angles?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle.
The difference between the positive and negative angles :-
Angles are sometimes classified based on whether their values are more than or less than 0° into positive and negative angles. The measure of a positive or a negative angle depends on the amount of rotation between the two sides forming the angle. The rotation is measured from the initial side to the terminal side of the angle.
What is a Positive Angle :-
An angle formed by an anti-clock wise or counterclockwise rotation from its initial side is called a positive angle.
12°, 33°, 90°, 180°, 360° are all example of positive angles.
What is a Negative Angle :-
An angle formed by a clockwise rotation from its initial side is called a negative angle.
-9°, -45°, -110°, -280°, -310° are all example of negative angles.
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can someone help pleaseee i will give brainlyest
Answer:
the last option = 103 ft
Step-by-step explanation:
It is in the ratio of
1 : 30
Multiply each side by 5.5
5.5 : 165
convert 165 inches to feet
13.75
1 : 30
multiply each side by 3
3 : 90
convert 90 inches to feet
7.5
since it is asking for the area multiply 13.75 ft and 7.5 feet
13.75 * 7.5 = 103 ft
Describe the transformations that maps triangle A to triangle A'.
A.translate 7 units to left and then reflect over the x-axis
B.translate 5 units to left and then reflect over the x-axis
C.translaté 7 units to right and then reflect over the x-axis
D.translate 5 units to right and then reflect over the x-axis
Answer:
c
Step-by-step explanation:
moving the figure over 7 units would put it directly over the a'
after that you can reflect the a over the x axis
The correct option is C. Translate [tex]7 \ units[/tex] to the right and then reflect over the x-axis.
To determine the transformations that map triangle [tex]\( A \)[/tex] to triangle [tex]\( A' \)[/tex]
1. Translation:
Observe the horizontal distance between the corresponding points of triangles [tex]\( A \)[/tex] and [tex]\( A' \)[/tex].
Triangle [tex]\( A \)[/tex] is initially centered around [tex]\( x = 2 \)[/tex]., while triangle [tex]\( A' \)[/tex] is centered around [tex]\( x = 2 \)[/tex]
The horizontal distance from [tex]\(-5\)[/tex] to [tex]\(2\)[/tex] is [tex]\(7\)[/tex] units to the right.
2. Reflection:
Check the vertical positions of triangles [tex]\( A \)[/tex] and [tex]\( A' \)[/tex].
Triangle [tex]\( A \)[/tex] is above the x-axis while triangle [tex]\( A' \)[/tex] is below the x-axis. This indicates a reflection over the x-axis.
Thus, the correct transformation sequence is to translate triangle [tex]\( A \) 7 units[/tex] to the right and then reflect it over the x-axis.
Patricia buys a round dinner table the radius of the dinner table is 6 m what is the area of the table table
Answer:
18.8495559215 m
Step-by-step explanation:
It is 6 times pi.
Answer:
113.04
Step-by-step explanation:
1 gallon of water weighs 8 1/3 pounds
30 gallons of water weighs x pounds
30 gallons of water weighs 250 pounds.
To find the weight of 30 gallons of water, we can use the given conversion factor that 1 gallon of water weighs 8 1/3 pounds.
First, let's find the weight of 1 gallon of water in pounds:
1 gallon = 8 1/3 pounds
Now, we can calculate the weight of 30 gallons of water:
30 gallons = 30 x (8 1/3 pounds)
= 30 x (25/3 pounds)
= 250 pounds
Therefore, 30 gallons of water weighs 250 pounds.
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A solution to a system of two linear equations is where they intersect
A. Always
B. Sometimes
C. Never
A. Always
Two lines don't always intersect, but the solutions are always where they intersect.
Identify the type of function.
y = (x-5)(x-2)
Solve and graph this inequality on a number line:
-3 (x + 4) = 15
Steps to solve:
-3(x + 4) = 15
~Distributive Property
(-3 * x) + (-3 * 4) = 15
~Simplify
-3x - 12 = 15
~Add 12 to both sides
-3x - 12 + 12 = 15 + 12
~Simplify
-3x = 27
~Divide -3 to both sides
-3x/-3 = 27/-3
~Simplify
x = -9
Best of Luck!
Solve the system of equations. y= 2x -3 y= x^2 -3
Answer:
(0, - 3 ) and (2, 1 )
Step-by-step explanation:
Given the 2 equations
y = 2x - 3 → (1)
y = x² - 3 → (2)
Substitute y = x² - 3 into (1)
x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
x² - 2x = 0 ← factor out x from each term
x(x - 2) = 0
Equate each factor to zero and solve for x
x = 0
x - 2 = 0 ⇒ x = 2
Substitute these values into (1) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )
Answer:
(0, - 3 ) and (2, 1 ) 100% correct
Step-by-step explanation:
An exponential function is written y=a(b^x) Which variable determine if the function is increasing or decreasing?
1. a
2. b
Answer:
b
Step-by-step explanation:
if b is less than 1, it is a decreasing function; if b is more than 1, it is an increasing function
This is the first year Janis is playing softball. She has been practicing her batting. On her last swing the bat made an arc with a radius of 48 inches and swept through 255° of rotation. Assuming the arc is circular, what is the distance the tip of the bat travels in inches in terms of pi? How many feet is this in terms of pi?
Using the relation between arc length and the radius, the arc length covered by the bat tip for a swing of 255 degrees with a 48-inch radius bat is (85/6)π inches or (85/72)π feet.
Explanation:The subject of the question is based in mathematics, specifically geometry. To solve the question, first, we have to know that the circumference (C) of a given circle is calculated as
2πr
, where 'r' is the radius. Since 255° is a portion of the total circumference (which is considered as 360°), we calculate the fraction of the total circumference covered by 255°, which is 255/360. The arc covered by Janis's bat swing is, therefore,
(255/360)*2πr
. Substituting 'r' with 48 inches, the arc length (As) comes to
(85/6)π inches
. To convert this to feet, divide the result by 12 (since there are 12 inches in one foot), which gives
(85/72)π feet
.
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The radius of a circle is 620cm what is the diameter of this circle
Answer:
1240 cm
Step-by-step explanation:
Diameter = 2 * radius
The radius is 620, making the diameter 620 * 2 = 1240
Help
Needs to explain to me plzzz
Answer:
Its 15, just trust me on this one
Step-by-step explanation:
HELP PLS 30) PTS
--------
Calculate the bases of the trapezoid.
The diagonal of the trapezoid divides the central section into parts, one of which makes up 62.5% of the other . Find the bases when the middle section is 26 cm.
The answer . The longer base of the trapeze is__ cm and shorter__ cm.
Answer:
32 ; 20
Step-by-step explanation:
Middle section: 26
Sum of parallel lengths: 2 × 26 = 52
Ratio of the sides:
100% : 62.5%
8 : 5
5/(8+5) × 52
20
8/(8+5) × 52
32
10–{12–[(−9)+(−1)]} answer ASAP please
Answer:
-12
Step-by-step explanation:
-9+(-1) is -10. 12-(-10) is 22. 10-22= -12
What is the volume of the composite figure? Leave the
answer in terms of .
Tot mm
5 mm
3 mm
Answer:
It is 33 on edge 21.
Step-by-step explanation:
trust me :)
Please Help Me Out! I'd Appreciate It So Much! TYSM!
A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 36 days.
Equation: ?
Total Length of the road after 36 days: ?
Answer:
L = 57 + 4D
After 36 days, the length of the road will be 201 miles.
Step-by-step explanation:
L = 57 + 4(36)
L = 57 + 144
L = 201
I know this seems like duhh but I honestly forgot
Answer:
In parasitic relationships, the parasite is a term for a parasitic organism - it leeches substance from its host. In this case, the host is the dog.
Tim install 50 square feet of his floor in 45 mins. At this rate how long does it take him to install 495 square feet. Is that 99.5 or 445.5?
Answer:
the answer is 445.5
Step-by-step explanation:
what I did was divide 50 by 495 and got 9.9 then since it took 45 minutes every 50 square feet of floor i multiplied 45 x 9.9 and got 445.5
Which number is not in scientific notation?
Answer:
There are no answer choices
Step-by-step explanation:
I am sorry!
Answer:
What number?
Step-by-step explanation:
Find the sum of the given polynomials. 3x ^2 + 2x - 5 and -4 + 7x ^2
Answer:
[tex] 10 {x}^{2} + 2x - 9[/tex]
Step-by-step explanation:
[tex](3 {x}^{2} + 2x - 5) + ( - 4 + 7 {x}^{2}) \\ = 3 {x}^{2} + 2x - 5+ 7 {x}^{2} - 4 \\ = 3 {x}^{2} + 7 {x}^{2} + 2x - 5- 4 \\ = 10 {x}^{2} + 2x - 9[/tex]
Juanita has saved 30% of the money that she needs to buy a new bicycle. If she has saved $42, how much money does the bicycle cost? The Bicycle costs?
Answer:
$140
Step-by-step explanation:
If $42 is the amount of 30% of the price of a bycicle, we can quickly find the total amount by dividing 42 by .3.
42/0.3 = 140
$140 is your final answer!
Hope this helps!
Sasha made cups of lemonade to sell at her stand. She sold 9 cups of lemonade in the first hour. For each hour after that, she sold five cups. She was outside for a total of 4 hours. How many cups of lemonade did she sell?
Answer:
24 cups
Step-by-step explanation:
1st hours = 9 cups
2nd hour = 5 cups
3rd hour = 5 cups
4th hour = 5 cups
9 + 5 + 5 + 5 = 24 cups