Simplify the following expression.
[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex]
Answer:
[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6} = \frac{x - 6}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDividing Fractions - KCF (Keep Change Flip)
Keep the 1st fraction the sameChange the sign from division to multiplicationFlip the 2nd fraction (reciprocate)Algebra I
Terms/CoefficientsDomainsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6}[/tex]
Step 2: Simplify
Divide [KCF]: [tex]\displaystyle \frac{4x + 14}{2} \cdot \frac{x - 6}{4x + 14}[/tex]Multiply: [tex]\displaystyle \frac{(4x + 14)(x - 6)}{2(4x + 14)}[/tex]Divide: [tex]\displaystyle \frac{(x - 6)}{2}[/tex]Extra:
If we were to graph this, we would need to watch out for domain restrictions or changes because we are combining 2 domains together when 1 of them has a restriction.
Answer:
(x-6)/2
Step-by-step explanation:
Turn the second fraction upside down and multiply two fractions
HELP ME PLEASE!! ASAP THANK YOU
Answer:
the third and fourth one
Step-by-step explanation:
Answer:
the equations that have the solution n= 9 are the 3rd and 4th ones..
-18v^2 + 23v^2 =
Please show work
If 55% of a number is 143 and 45% of the same number is 117, find 100% of that number.
answer for brainlist
Answer:
Y intercept is (0,5), The slope is 5
Step-by-step explanation:
y = slope x + y-intercept
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?
Answer:
a. 311 hours
b. i. $3,100 in receipts
ii. $2,799 in expenses.
Step-by-step explanation:
a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:
= 10 - 9
= $1 per hour
Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:
= 311 / 1
= 311 hours
b. In 311 hours, the total receipts would be:
= 311 * 10
= $3,110
The expenses would be:
= 311 * 9
= $2,799
The triangle shown is an equilateral triangle. An equilateral triangle has sides lengths a. What is the area of the equilateral triangle with the length of each side equal to a? One-half a sine (60 degrees) 3 a sine (60 degrees) One-half a squared sine (60 degrees) a squared sine (60 degrees)
Answer: its C
Step-by-step explanation:
The area of an equilateral triangle can be written as a squared sine (60 degrees) thus Option D is correct.
What is an equilateral triangle?The triangle in which all three sides are of the same length. In this the all angles are the same 60°.
The area of a triangle can be calculated by,
A = 1/2 x b x h..................1
Where,A - Area of triangle
b - base
h - height
From, Pythagoras Theorem
a² = h² + (a/2)²
h² = a² - (a/2)²
Put the value of “h” in equation 1
A = 1/2 x b x h
A = 1/2 x √[a² - (a/2)²] x h
A = √3/4 a²
Since √3/4 = sin 60°.
So, the area of an equilateral triangle as a squared sine (60 degrees).
Learn more about the equilateral triangle;
brainly.com/question/14305983
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I need answers to these please number them.
1.) 37
2.) -16
3.) 11
4.) 1
Step-by-step explanation:
solve the inequality for u.
Answer:
u ≤ 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
32 ≥ 4u
Step 2: Solve for u
Divide both sides by 4: 8 ≥ uRewrite: u ≤ 8Here we see that any value u smaller than or equal to 8 would work as a solution to the inequality.
The sum of -5, -9, and 10 is _____.
4
-4
-14
14
Answer:
-4
Step-by-step explanation:
Susan purchased a prepaid phone card for $15. Long distance calls cost 14 cents a minute using this card. Susan used her card only once to make a long distance call. If the remaining credit on her card is $9.26, how many minutes did her call last?
Answer:
41 minutes
Step-by-step explanation:
Step one:
given data
Susan purchased a prepaid phone card for $15
let the number of minutes be x
and let the total be y
per minute call cost = 14 cents = $0.14 per minute
Hence the expression for the situation is given as
y= 15-0.14x
Step two:
given that the balance after a call is 9.26
9.26=15-0.14x
solve for x
9.26-15= -0.14x
5.74=0.14x
divide both sides by 0.14
x=5.74/0.14
x=41 minutes
At the gates of the zoo there is a 15 ft. tall statue that casts a shadow 18 ft. long. If the adult elephant in the exhibit is 10 ft. tall then how long is its shadow?
What value of 'c' makes the equation true?
3/6=4/c*
Brainliest to whom answers fast and accurately (please hurry!!)
Answer:
8
Step-by-step explanation:
Answer:
c=8
Step-by-step explanation:
Help Please ! =(
Find the measures of the interior angles of the triangle.
The width of a rectangle is 30 less than 4 times the length. The perimeter is 60. What is the length, width, and area
9514 1404 393
Answer:
length: 12 unitswidth: 18 unitsarea: 216 square unitsStep-by-step explanation:
Let x represent the length of the rectangle. Then the width is 4x-30, and the perimeter is ...
P = 2(L +W)
60 = 2(x +(4x -30)
30 = 5x -30
60 = 5x
12 = x . . . . length
4x -30 = 18 . . . . width
Area is the product of length and width.
A = LW
A = (12)(18) = 216
The length is 12, the width is 18, and the area is 216.
Help me out please an thank you
Fill in the blank.
(5x)2 = _x2
Answer:
(5)
Step-by-step explanation:
a fair 6 sided dice is rolled twice, what is the probability it will land on a 1 both times?
Answer:
The answer is 1/36
Step-by-step explanation:
The probability that it will land on 1 at any time is 1/6
So for the first time we have 1/6
For the second time, we have 1/6
For the both times, we have
1/6 * 1/6 = 1/36
De un bote con 180 caramelos Laura se ha comido una decima parte, Marta una novena parte y Cristina una quinta parte. De lo que queda, Juan se ha comido la mitad. ¿ Cuantos caramelos quedan?
Answer:
53 caramelos
Step-by-step explanation:
El número total de caramelos en el frasco = 180 caramelos
Para Laura
Laura se ha comido la décima parte de un frasco
1/10 × 180 caramelos = 18 caramelos
Por Marta
Marta una novena
1/9 × 180 = 20 caramelos
Por Cristina
Cristina una quinta.
1/5 × 180 = 36 caramelos.
De lo que queda, Juan se ha comido la mitad.
La cantidad de caramelos que quedan se calcula como:
180 - (18 + 20 + 36)
= 180 - 74
La cantidad de caramelos que quedan = 106 caramelos
Para juan
De lo que queda, Juan se ha comido la mitad.
= 1/2 × 106
= 53 caramelos
¿Cuántos dulces quedan?
= 106 caramelos - 53 caramelos
= 53 caramelos
Por tanto, quedan 53 caramelos.
In the graph of an inequality, the region to the right of a dashed vertical line
through the point
(-4,0) is shaded. What inequality does the graph represent?
Answer:
x is greater than -4
Step-by-step explanation:
Answer:
x > -4
Step-by-step explanation:
find the holes
[tex]f(x)=\frac{x+3}{(x+1)(x-2)}[/tex]
Answer:
x=-1 and x=2Step-by-step explanation:
The "holes" are the x-es where function doesn't exist.
one must not divide by 0, so given function doesn't exis if the denominator is equal 0
The product {(x+1)×(x-2)} is equal 0 if any of factors {(x+1),(x-2)} is 0, so
x + 1 = 0 or x - 2 = 0
x = - 1 or x = 2
G e o m e t r y
help me
(Answer Correctly and explain)
-I give brainliest,thankyou's ans star ratings-
Find the sum.
√6+1=?
Answer:
3
Step-by-step explanation:
√6 = 2.449489742784178
2.449489742784178 = 2.00 (rounded)
2+1=3
Pleeease help meeeeee
Answer:
It would have to either be A or B
Step-by-step explanation:
Does this graph show a function? why or why not?
It is a function because we do not have two or more red points vertically aligned. In other words, we don't have any red points stacked. This graph passes the vertical line test.
The vertical line test is where we try to find a single vertical line passing through more than one red point. No such vertical line exists, so that's why this graph passes. Passing the vertical line test means we therefore have a function.
A function is where any input x leads to exactly one output. For instance, the input x = 9 leads to the single output y = 28. Similar situations happen with the other x values as well. If we had the two points (9,28) and (9,36), then this wouldn't be a function.
Зr — Зу = — 18
9x — 6y= — 48
Please help!
Answer:
The answer should be (-4,2)
Step-by-step explanation:
In ΔQRS, the measure of ∠S=90°, SQ = 47 feet, and RS = 70 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
33.9
Step-by-step explanation:
What function uses the OPPOSITE and the ADJACENT?
tanR=
adjacent /opposite
=
70/ 47
tanR=
70 /47
R=tan
−1
( 70 /47 )
Helppp pleaseeeeee Brainly
Answer:
1. 4
2. 16
3. 8
Step-by-step explanation:
1. 4^2 / 2^2
4^2 = 16
2^2 = 4
16/4 = 4
2. (8- 4) x 4
8 - 4 = 4
4 x 4 = 16
3. 2^2 + 2^2
2^2 = 4
2^2 = 4
4 + 4 = 8
Hope I helped!
Answer:
[tex]\frac{4^{2} }{2^{2} } = 4[/tex]
(8 - 4) x 4 = [tex]4^{2}[/tex]
[tex]2^{2} +2^{2}[/tex] = 8
Step-by-step explanation:
[tex]\frac{4^{2} }{2^{2} } = 4[/tex] because [tex]4^{2} = 16[/tex] and [tex]2^{2}[/tex] = 4. 16/4 is the same as 4.
(8 - 4) x 4 = (4) x 4 = 16. This is the same as [tex]4^{2}[/tex].
[tex]2^{2} +2^{2}[/tex] is the same as 4 + 4, which is 8.
Hope it helps!
I’m stuck on these two questions please help if possible
Answer: m=-2/3
Y=-2
Equation=-2/3x-2
Step-by-step explanation:
M is the slope
Y is where it touches that y axis
Put it together
help me plz will mark brainliest (final project btw)
Answer:
Angle 1: 68
Angle 2: 136
Angle 3: 46