The expression that is equivalent to [3/(x + 1)] ÷ 1/(x + 1)] after simplification is gotten as; 3
How to simplify fractions?We want to simplify the expression;
[3/(x + 1)] ÷ 1/(x + 1)]
This fraction expression will be re-expressed as;
[3/(x + 1)] * (x + 1)/1
x + 1 will cancel out to give us the expression as;
[3/(x + 1)] * (x + 1)/1 = 3
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Answer:
Step-by-step explanation:
c
HELPPP frenss!!! HURRY j
Answer:
(2, -7)
x = 2
y = -7
Step-by-step explanation:
Let's solve this system of equations by elimination.
Start by multiplying the first equation by 2:
[tex]2(4x)+2(3y)=2(-13)\\8x+6y=-26[/tex]
Next, multiply the second equation by 3:
[tex]3(-5x)+3(2y)=3(-24)\\-15x+6y=-72[/tex]
Notice that both equations now have a "6y", meaning we can subtract both equations and thereby eliminating the variable "y" from the equation:
[tex]8x+6y-(-15x+6y)=-26-(-72)\\8x+6y+15x-6y=-26+72\\23x=46[/tex]
Divide both sides by 23
[tex]x=2[/tex]
Substitute 2 for "x" to solve for "y".
[tex]4x+3y=-13\\4(2)+3y=-13\\8+3y=-13[/tex]
Subtract 8 from both sides:
[tex]3y=-21[/tex]
Divide both sides by 3:
[tex]y=-7[/tex]
Therefore the answer is:
[tex](x, y)=(2, -7)[/tex]
Additional Comments:
Note that we can only divide, subtract, multiply, or add both sides of the equation by the same quantity due to the Division, Subtraction, Multiplication, or Addition Property of Equality. These properties state that if you divide/subtract/multiply/add one side of the equation by one quantity, you must do the same to the other side of the equation so that it remains an equation.
Tristan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.75 hours and charged him $50 for parts. The total was $643.75. What was the cost of labor, per hour?
Answer:
its $125
thank me later <3
The cost of labor, per hour, will be equal to $125.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Tristan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.75 hours and charged him $50 for parts.
The cost for labor per hour is,
TC = 50 + 4.75x
643.75 = 50 + 4.75x
x = ( 643.75 - 50) / 4.75
x = $125
Therefore, the cost of labor, per hour, will be equal to $125.
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A taxi ride costs $3 plus $2.50 per mile. Write and graph an equation in two variables that represents the total cost of a taxi ride. Let m represent number of miles and represent the total cost (in dollars) of the taxi ride.
Equation: c=
Answer:
C = 3 + 2.5M
Step-by-step explanation:
2.5
x
M
2.5M
+
3 =
3 + 2.5M
The fare charged by a taxi company is described by the linear equation y=3.5x +4.5, where x is the number of miles traveled and y is the tota cost. What is the rate of change, in dollars per mile?
$3.50 per mile
$10.00 per mile
$4.50 per mile
$8.00 per mile
Answer:
$3.50 per mile
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
Given linear equation: [tex]y=3.5x+4.5[/tex]
(where x is the number of miles traveled and y is the total cost)
The rate of change is the slope of the linear equation.
Therefore, the rate of change is $3.50 per mile.
Compare to slope intercept form of line
Slope=m=3.5Now
Rate of change=slope
Rate of change
$3.50 per mile
A wall in Alex and Carla Dinu's garden is to be built using brick that is 5 3/8 inches wide and a mortar joint that is 3/4
inch wide. Using the diagram, what is the height of the wall?
Answer: 29 7/8
Step-by-step explanation:
The height of wall will be 29.875 inch.
How to measure height of the wall?The height of the wall can be measured by the sum of total height of bricks and the height of mortar joint between the bricks.
According to question there is 4 mortar joint and 5 rows of bricks.
How to determine the no. of mortar joint?1 mortar joint is situated between 2 bricks. So, if the no. of bricks is n, then mortar joint between them will be n-1.
So, width of one mortar joint is= 3/4 inch
Width of 4 mortar joints = (3/4)*4=3 inch
width of one brick is= 5.375 inch
Width of 5 bricks = 5.375*5=26.875 inch
Height of the wall
= width of 4 mortar joints + width of 5 bricks
= 3+26.875
=29.875inch or 29 7/8 inch
Therefore, the height of wall will be 29.875 inch.
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if x-y=80 and 3/5=y/x <--(as a fraction), what is the value of x? will give 45 points, and brainliest for the right answer
Answer:
(200, 120)Step-by-step explanation:
Given system
x - y = 803/5 = y/xSolve it by substitution
y = 3/5(x)y = x - 80Find the value of x
3/5(x) = x - 80x - 3/5(x) = 802/5(x) = 80x = 80*5/2x = 200Find the value of y
y = 3/5(200)y = 120Answer:
x = 200
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}x-y=80\\\\\dfrac{3}{5}=\dfrac{y}{x} \end{cases}[/tex]
Rearrange the second equation to make y the subject by multiplying both sides by x:
[tex]\implies \dfrac{3}{5} \cdot x=\dfrac{y}{x} \cdot x[/tex]
[tex]\implies y=\dfrac{3}{5}x[/tex]
Substitute this into the first equation and solve for x:
[tex]\implies x-\left(\dfrac{3}{5}x\right)=80[/tex]
[tex]\implies \dfrac{2}{5}x=80[/tex]
[tex]\implies \dfrac{2}{5}x \cdot 5=80 \cdot 5[/tex]
[tex]\implies 2x=400[/tex]
[tex]\implies \dfrac{2x}{2}=\dfrac{400}{2}[/tex]
[tex]\implies x=200[/tex]
Therefore, the value of x is 200.
If you want to find the value of y, simply substitute the found value of x into the first equation and solve for y:
[tex]\implies 200-y=80[/tex]
[tex]\implies 200-y+y=80+y[/tex]
[tex]\implies 200=y+80[/tex]
[tex]\implies 200-80=y+80-80[/tex]
[tex]\implies 120=y[/tex]
[tex]\implies y=120[/tex]
There are 110 students on a bus filled with 129 people. What is the ratio of students to teachers?
i need help
Answer:
110 : 19
students : teachers
please mark as brainliest thank you
hi, um whats 33 divided by 548 whith an remainder ? but no decimal
Answer:
no calculator?
Step-by-step explanation:
33 /548 w/o a remainder is... 0 b/c the answer is 0.0602189781....
your question is not a good question.
Which is a factor of x2 + 5x – 24?
(xO
(x-6)
O (x + 6)
(8 - x) O
(8 + x) O
Answer:
D.) (x + 8)
Step-by-step explanation:
Which two values multiply to (-24) and add to (5)?
These values are (-3) and (8):
-3 x 8 = -24
-3 + 8 = 5
As such, the factors include these two values. One of the factors (x + 8), is one of the answer choices.
x² + 5x - 24 = (x - 3)(x + 8)
WILL GIVE BRAINLIEST
Write 2/7x(1.4x^2-3.5y) as a polynomial
Answer:
0.4x^3 - xy.
Step-by-step explanation:
2/7x(1.4x^2-3.5y) Distributing the2/7x over the parentheses:
= 2/7 * 1.4 x^3 - 2/7 *3.5xy
= 0.4x^3 - xy
The expression 2/7x(1.4x² - 3.5y) can be written as the polynomial (4/5)x³ - (10/7)xy.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
To write 2/7x(1.4x² - 3.5y) as a polynomial, we need to first simplify the expression inside the parentheses by distributing the 2/7x:
2/7x(1.4x² - 3.5y) = (2/7x)(1.4x²) - (2/7x)(3.5y)
Next, we can simplify each term by multiplying the coefficients:
2/7x(1.4x² - 3.5y) = (4/5)x³ - (10/7)xy
Thus, 2/7x(1.4x² - 3.5y) can be written as the polynomial (4/5)x³ - (10/7)xy.
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The student council hires a DJ to play music at the school dance. They pay DJ Dan 3. 5h at his hourly rate plus a $125 setup fee. The total cost is $405
Jane paid for her dinner with a $50 bill. Her bill was $38.63. How much change should she receive?
Answer:
11.37
Step-by-step explanation:
50 - 38.63 is equal to 11.37
Answer:
11.37
Step-by-step explanation:
If that bill is the total, tax and all, then its a simple subtraction problem.
The data shows the number of products an assembly line creates each hour for
7
randomly selected hours.
53
,
65
,
81
,
90
,
72
,
55
,
95
What is the range of the data set?
Answer:
42 is the range
Step-by-step explanation:
Subtract the highest number by the lowest.
95 - 53 =42
Bro Can somebody pls help me
A portable fuel tank used to transport gasoline is in the shape of a rectangular prism. The tank is 5 feet longer than it is wide and 29 feet deeper than it is wide. The volume of the tank is
33,488 cubic feet.
What equation represents the volume of the portable fuel tank
The equation represents the volume of the portable fuel tank in terms of width (w) is w³ + 34w² + 145w - 33488 = 0.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A portable fuel tank used to transport gasoline is in the shape of a rectangular prism.
The tank is 5 feet longer than it is wide and 29 feet deeper than it is wide.
The volume of the tank is 33,488 cubic feet.
Let the width of the rectangular prism be w. Then we have
length = w + 5
height = w + 29
Then the volume is given as
Volume = l × w × h
33488 = (w + 5) (w) (w + 29)
Then we have
[tex]\begin{aligned} \rm w^3 + 5w^2 + 29w^2 + 145w &=33488 \\\\\rm w^3 + 34w^2 + 145w - 33488 &= 0\\\\\rm (w - 23)(2w+57)(2w + 57) &= 0\\\\\rm w &= 23, -28.5, -28.5 \end{aligned}[/tex]
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Pls help…!!! Is really urgent and I don’t understand.,.!!!
Answer:
Step-by-step explanation:
Find the smallest value of k when 280 is a perfect square
Answer:
i don't know do you play free fire
simplify Squrareroot -50
Answer:
Simplify the following:
sqrt(-50)
sqrt(-50) = sqrt(-1) sqrt(50) = i sqrt(50):
Answer: i sqrt(50)
Step-by-step explanation:
What is the value of x? Enter your answer in the box. x =
Answer:
55°Step-by-step explanation:
the sum of the interior angles of a triangles is 180°
so
180 = 75 + 50 + x
x = 180 - 75 - 50
x = 55°
-----------------------
check
55 + 75 + 50 = 180°
the answer is good
PLS HELP
Select all of the pairs of expressions that are equivalent.
A c + d + c + d and 2(c + d)
B 4y + 3y - x and -x + 7y
C 2(3n + 4m) and 6n + 4m
D 8p - 5r and 5r - 8p
E 4j + 6k and 2(2j + 3k)
Answer:
A
B
E
Step-by-step explanation:
For A, we can simplify it to 2c + 2d by combining like terms. We can then factor out 2 and get 2(c + d).
For B, we combine like terms and 7y - x. We can move the x in front and get -x + 7y.
For E we can factor out 2 and get 2(2j + 3k).
Hope this helps
If the two spinners below are spun, what is the probability that the numbers will match?
Answer:
Example: If the spinners is divided into 4 than it will be 1/4 or if it is divided into 8 than it will be 1/8 .
Step-by-step explanation:
The car owned by a person is part of his or her ____. a. investment assets b. liquid assets c. long term assets d. use assets Please select the best answer from the choices provided A B C D
Answer:
im pretty sure its D. use assets
Step-by-step explanation:
hope this helps:)
Please help me with this math problem!! Will give brainliest if correct!! :)
Step-by-step explanation:
|x| x≤2
3 x>2
Feel free to ask question if anything's not understandable!
An area of 3.5m² is the same as 350000mm². True or false. Justify your answer
No, because to convert meter to millimeter you'll have to multiply the length value by 1000 which will give you 3500.
3.5 × 1000
= 3500.
have a great day!
no because 3.5 times 1000= 3500
hope this helps
8 + (7 + 1) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4
Answer:24divided by 16/64
Step-by-step explanation:
8x[7+1]2/4x4/16
8x8/2/4x4/16
48/2/4x4/16
48/2/16/64
24/16/64
A set of equations is given below: equation e: m = 4n 1 equation f: m = 6n 8 which statement describes a step that can be used to find the solution to the set of equations? equation f can be written as m = 6(m − 1) 8. equation f can be written as m = 4(m − 8) 1. equation f can be written as 4n 1 = 6n 8. equation f can be written as n 1 = 6n 8.
The statement that describes a step to find the solution to the set of equations is the equation f can be written as 4n + 1 = 6n + 8
How to solve the equation?The system of equations is given as:
m = 4n + 1
m = 6n + 8
To solve the equation, we simply substitute 4n + 1 for m in the second equation.
So, we have:
4n + 1 = 6n + 8
Hence, the equation f can be written as 4n + 1 = 6n + 8
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Can anyone help me with this?
Answer:
a. x=4 or x=−10
b. x= 3/2 or x= −8
Step-by-step explanation:
(FOR LETTER A)
Step 1: Factor left side of equation.
(x−4)(x+10)=0
Step 2: Set factors equal to 0.
x−4=0 or x+10=0
x=4 or x=−10
(FOR LETTER B)
Step 1: Factor left side of equation.
(2x−3)(x+8)=0
Step 2: Set factors equal to 0.
2x−3=0 or x+8=0
x= 3/2
or x= −8
Annabelle and Navene are multiplying (4275)(4372).
Annabelle's Work Navene's Work
(4275)(4372) = 42 + 375 + 2 = 4577 (4275)(4372) = 42⋅375⋅2 = 46710
Is either of them correct? Explain your reasoning
Answer:
it means the b that equals the c that equals the d so do the hokey pokey and put booger on paper and answer is 599958
Step-by-step explanation:
well sorry
:D
Evaluate cos 300' without using a calculator,
2
O A. 1 /
O B. 1
о
c
va
Answer:
[tex]Cos \ 300 = \dfrac{1}{2}[/tex]
Step-by-step explanation:
[tex]\sf \boxed{Cos \ (2\pi - \theta) = Cos \ \theta}[/tex]
Cos 300 = Cos ( 360 - 60)
= Cos 60
[tex]\sf = \dfrac{1}{2}[/tex]
How do I find the area