Step-by-step explanation:Step 1: Simplify both sides of the equation.
4−(2y−1)=2(5y+9)+y
4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)
4+−1(2y)+(−1)(−1)=2(5y+9)+y
4+−2y+1=2(5y+9)+y
4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)
4+−2y+1=10y+18+y
(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)
−2y+5=11y+18
−2y+5=11y+18
Step 2: Subtract 11y from both sides.
−2y+5−11y=11y+18−11y
−13y+5=18
Step 3: Subtract 5 from both sides.
−13y+5−5=18−5
−13y=13
Step 4: Divide both sides by -13.
−13y
−13
=
13
−13
y=−1
Answer: y =-1
Here, this is a linear equation in one variable because only one variable is there, y. We need to find the solution i.e the value of y.
Given, equation:
[tex]4 - (2y - 1) = 2(5y + 9) + y[/tex]
We need to find y, So let's isolate y in any one side of the equation. Before that, let's open the parentheses.
[tex]4 - 2y + 1 = 10y + 18 + y[/tex]
[tex]5 - 2y = 11y + 18[/tex]
Now, let's add 2y to both sides, So that -2y on the left hand side gets cancel.
[tex]5 - 2y + 2y = 11y + 18 + 2y[/tex]
[tex]5 = 13y + 18[/tex]
Flipping the equation for easy calculation,
[tex]13y + 18 = 5[/tex]
Solving further,
[tex]13y = - 13[/tex]
[tex]y = \frac{ - 13}{13} [/tex]
[tex] \boxed{y = - 1}[/tex]
Hence, we are done !!
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Record the steps needed for solving 2(x-8)=24
Answer:
x=20
Step-by-step explanation:
2 ×(x - 8)=24
2x - 16 =24
2x =24 +16
2x =40
x=40 :2
x=20
please solve this and show your working out. thanks!
Answer:
first
area of rectangle = l*b
= (3x-y+4) ( X+7)
= 3x²-xy + 4x+21x-7y+28
= 3x²-xy +25x-7y +28
Area of square = l²
= (x-2)²= x²- 4x +4
area of shaded region=( 3x²-xy +25x-7y +28) -(x²- 4x +4)
=2x²-xy +29x-7y+24
Step-by-step explanation:
An auto shop has 2 used vehicles for sale, 1 car and 1 truck. The truck is 3 years older than the car but 7 years older than one-half the car’s age. How many years old is the car?
Answer:
The car is 13 years old
Step-by-step explanation:
Lets say Car is x and the Truck is y, so the trucks age = x + 3 = y
Lets find the value of the Car or x
x + 3 = 1/2(x + 7)------- >
first we will divide x by 1/2 and 7 by 1/2, So...
x + 3 = (x / 1/2 + 7 / 1/2)------- >
x + 3 = 1/2x + 3.5------->
next Isolate variable x,
x + 1/2x = 3 + 3.5
1/2x = 6.5, So...
x = 13 and in turn, y = 13 + 3
:)
Mr. Stewart is making a scale drawing of his classroom. The actual dimensions of the room are in the drawing. Which dimensions could he use in the scale drawing? Dimensions of Original: Length: 20 feet Width: 25 feet Answers To Choose From: 12.5 inches x 10 inches or 11 inches x 6 inches or 10 inches x 8 inches or 12 inches x 9 inches
Answer:
D; 21
Step-by-step explanation:
Mr. Stewart is making a scale drawing of his classroom. The actual dimensions of the room are shown below.
Transversal t cuts parallel lines rand s. Which angles must be congruent to 22?
OA. 23, 26, and 27
OB.
27 only
OC. 27 and 26
OD
23, 25, and 26
Please will make brainiest
If transversal t cuts parallel lines r and s, then the angles ∠3, ∠5 and ∠6 are congruent to ∠2.
What is Coordinate System?Coordinate systems are used to describe the (linear) position of points and the angular position of axes, planes, and rigid bodies.
A transversal is a line, ray, or line segment that intersects other lines, rays, or line segments on a plane at different intersecting points.
Congruent angles are two or more angles that are identical to each other.
The angle ∠2 measure is equal to ∠3.
∠2 measure is equal to ∠6.
∠6 measure is equal to ∠5.
The measures ∠3, ∠5 and ∠6 are equal to the measure of ∠2.
∠3, ∠5 and ∠6 are congruent to ∠2
Hence, if transversal t cuts parallel lines r and s, then the angles ∠3, ∠5 and ∠6 are congruent to ∠2.
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Which best describes the dimensions of a plane?
O A plane has zero dimensions because it represents a location on the coordinate plane.
A plane has one dimension because it is made up of an infinite number of points.
O Aplane has two dimensions because it is a flat surface that has length and width but no depth.
O A plane has three dimensions because it is made up of exactly three noncollinear points.
Answer:
c
Step-by-step explanation:
7gd7ts7ts6rs6rsyrs6rstrar
Answer:
A plane has two dimensions because it is a flat surface that has length and width but no depth.
Step-by-step explanation:
wikipedia it
5x-2=3x+4
which one?
x=1
x=2/3
x=-3
x=3
Answer:
x=3
Step-by-step explanation:
Answer:
[tex]\boxed {\tt x=3}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]5x-2=3x+4[/tex]
We want to solve for x, therefore we must isolate x on one side of the equation.
First, move all the constants to one side of the equation. 2 is being subtracted from 5x. The inverse of subtraction is addition. Add 2 to both sides.
[tex]5x-2+2=3x+4+2[/tex]
[tex]5x=3x+4+2[/tex]
[tex]5x=3x+6[/tex]
Next, move all the terms with variables to one side. 3x is being added to 6. The inverse of addition is subtraction. Subtract 3x from both sides.
[tex]5x-3x=3x-3x+6[/tex]
[tex]5x-3x=6[/tex]
[tex]2x=6[/tex]
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=\frac{6}{2}[/tex]
[tex]x=3[/tex]
x is equal to 3 and the correct answer is D. x=3
Help please, I need it
Answer:
2) c) (x-3)² + (y+2)² = 25
5) x^2 +y^2 -8x -16y +54 = 0
6) x^2 +y^2 -10x -12y +36 = 0
Step-by-step explanation:
2) The standard form equation for a circle is ...
(x -h)^2 +(y -k)^2 = r^2
You are given the center: (h, k) = (3, -2) and a point on the circle. So, the equation will be ...
(x -3)^2 +(y +2)^2 = r^2
Since we know a point on the circle we know that ...
(7 -3)^2 +(1 +2)^2 = r^2 = 16 +9 = 25
So, the circle's equation is ...
(x -3)^2 +(y +2)^2 = 25 . . . . . matches choice C
__
5) As in the previous problem, the standard form equation is ...
(x -4)^2 +(y -8)^2 = (-1-4)^2 +(7-8)^2 = 25+1 = 26
To put this in general form, we need to subtract 26 and eliminate parentheses.
x^2 -8x +16 +y^2 -16y +64 -26 = 0
x^2 +y^2 -8x -16y +54 = 0
__
6) A circle tangent to the y-axis will have a radius equal to the x-value of the center point.
(x -5)^2 +(y -6)^2 = 5^2
x^2 -10x +25 +y^2 -12y +36 = 25
x^2 +y^2 -10x -12y +36 = 0
HELP ME PLEASE NEED HELP ASAP !!
Answer:
Step-by-step explanation:
The answer is A
they are corresponding angles
what does f(2)=14 mean
Answer:
f(x) = expression
f(2) = 14 means that your x-value is 2. when you plug in 2 for x, you get 14 as y.
Suppose that 14 inches of wire costs 70 cents. At the same rate, how many inches of wire can be bought for 35 cents?
Answer:
7
Step-by-step explanation:
35x2=70 14/2=7
Look at the two points on the number line. Each number
graphed is the square root of a whole number that is not
a perfect square. Write the appropriate square root in
each box. Explain how you found your answers.
Answer:
√8 and √23
Step-by-step explanation:
The appropriate square root are √7 and √20.
Given that, each number graphed is the square root of a whole number that is not a perfect square.
We need to write the appropriate square root in each box.
What is a square root?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Now, we can see the decimal numbers marked on the number line are 2.7 and 4.39.
So, 2.62²=6.8644≈7
Then the square root of number is √7
4.39²=19.2721
Then the square root of number is √20
Therefore, the appropriate square root are √7 and √20.
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in 15 words or fewer , write your own definition of triangle
Answer:
A triangle is a three sided figure.
Explanation:
A triangle is a polygon with three sides.
can someone help me? help
Answer:
Step-by-step explanation:
Remove the brackets
3x*x^2 - 5x*3x + 3x*1 - 2x^2+3x -7
Combine
3x^3 - 15x^2 + 3x - 2x^2 + 3x - 7
3x^3 17x^2 +6x - 7
Can someone help me with this!! I’ve been stuck for awhile!!
Answer:
(C) [tex]h = \frac{2a}{b}[/tex]
Step-by-step explanation:
Here we have the formula for the area of a triangle: [tex]A = \frac{1}{2}bh[/tex]. Our goal is to isolate h on one side of the equation.
To do this, let’s treat the rest of the equation as if there were no variables.
Multiply both sides by 2:
[tex]2a = bh[/tex]
Divide both sides by [tex]b[/tex]:
[tex]\frac{2a}{b} = h[/tex]
Hope this helped!
How will you write 5 × 5 × 5 × 5 × 5 as an exponential expression?
Answer:
5 5
Step-by-step explanation:
the second five is small five
if M is the midpoint of AB, find the coordinates of A if B(4,-6) and M(1,-2) A is ___.
Answer:
work is attached and shown
Two vertices of an equilateral triangle are located at (2, 0) and (–2, –3). What is the triangle’s perimeter?
Answer:
15
Step-by-step explanation:
one side is equal to 5. So 5 ×3
the least number which is divisible by 12 40 75
Multiply(-7)(2)(-2)
Answer:
answer is 28..
mark it as brainliest
i am single also help me wha 1000 times 6 divided by 2 plus 6 divided by 8
Answer:
6/2 + 6/8
3/1 + 3/4
12/4 +4/4
that is 1
Answer:
3,000.75
Step-by-step explanation:
this is the answer
HELP ME. ASAP HELP ME PLS. PLSSSS
I will give brainlist for the right answer.
Three cars are for sale car a £14240 or car b £15870 or car c £11690 The price of car is rounded to the nearest £100. Which price changes by the greatest amount
Answer:
1st car is the answer to you question and even explanation is given.
Answer:
when rounded off to nearest 1000
14200, 15900 11700
first car by 40 second car by 30 and third car by 10
so first car
Step-by-step explanation:
Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?
What is the rate of change of the function represented by the table?
Х
у
1
5
2
5
3
5
4
5
ОО
1
4
5
Answer:
First it is adding 15 then it starts adding 3 then 1
Step-by-step explanation:
expanded form using fractions 1/100
Answer:
Standard form: 1
Step-by-step explanation
expanded notation form: 1
expanded factors form: 1x1
expanded exponential for 1x 10^0
Solve for y .
K=5yz
help
Answer: y=K/5z
Step-by-step explanation:
To solve for y, you need to use algebraic properties to isolate y.
K=5yz [divide both sides by 5z]
K/5z=y
y=K/5z
the sum of rs 2400 compounded to rs 2646 in 2 years find the rate of interest
Answer:
principal (p) = 2400
Amount (A) =2646
time (t) = 2 years
Interest = A-p
=2646-2400=246
T = I * 100/(P*T)
= 246*100/(2400 *2) = 5.125%
Step-by-step explanation:
The rate of interest will be 5.125% for the given data.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Given that the sum of rs 2400 compounded to rs 2646 in 2 years. The compound interest will be calculated as,
principal (p) = 2400
Amount (A) =2646
time (t) = 2 years
Interest = A-p
=2646-2400=246
T = I x 100/(P x T)
T = ( 246 x 100) / (2400 x 2)
T = 5.125%
Hence, the interest rate will be %5.125.
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A container ship is overtaking an oil tanker on the way out of Harwich Harbor, and the first mate notices that if he starts walking from the front of the container ship when the two ships start overlapping, he reaches the back as the two ship separate. He walks at 3 km/hour.
If the container ship is 100 m long, and travelling at 12 km/hour, how long is the oil tanker?
Answer:
I don't get it
Step-by-step explanation:
A company wants to develop audio speakers using an inexpensive type of plastic that has a very high quality of sound output. Which customers would most likely give a high evaluation of this product?
those who want to save money and will use the product for only a few years
those who want a top-quality product no matter how much it costs
those who want to save money and use the speakers for a long time
those who want a long-lasting product and are willing to pay a high price
Answer:
the answer is A
Step-by-step explanation:
those who want to save money and will only use product for a few years
Answer:
those who want to save money an will use the product for only a few years
Step-by-step explanation:
i took a test on edge 2020!!!
Which of the following prefixes represents the largest value?
Giga
Hector
Kilo
Milli
the answer is giga
Step-by-step explanation:
cause giga stands fir 1,000,000,000 1 billion
Answer:
giga
Step-by-step explanation: