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
PLEASE HELP ASAP PLEASE WORTH 20 POINTS!!
Answer:
y= -2
y=-2
Step-by-step explanation:
Penny makes $5,400 a month plus commission. She gets 3% of everything she sells. If Penny sold $62,000 worth of items this month, what is her salary for the month?
Answer:
Her salary for the month = $7260
Step-by-step explanation:
Given
Base Salary = $5,400 Amount sold = $62,000Percentage rate = 3%To determine
Salary for month = ?Given that Amount sold = $62,000 and Percentage rate 3%
so
Salary from commission rate = Amount sold × Percentage rate
= $62,000 × (3 / 100) = $1860
Thus, the total salary can be calculated by adding Base salary and Salary from the commission rate.so
Total salary = Base salary + Salary from commission rate
= $5,400 + $1860
= $7260
Hence, her salary for the month = $7260
WILL MARK YOU BRAINLIEST HELP WITH BOTH IF YOU CAN
Answer:
10) 51°
11) 152
Step-by-step explanation:
10) 42 + 9 = 51
11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152
Answer:
1. it dropped by 51°F
im not too sure abt number 2
HELP ON AREA PLZZZZ HELP
Answer:
70cm
Step-by-step explanation:
Area of triangle: (5.8x4)/2=11.6
Area of big rectangle: 8x5.8=46.4
Area of small rectangle: 2.4x5=12
12+46.4+11.6=70
Find the value of x.
Fill in the blank.
(5x)2 = _x2
Answer:
(5)
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.
On cold days Leah likes to make hot cocoa. She uses 8 tablespoons of cocoa and 2 tablespoons of sugar. Leah doubles the recipe when her cousin Vinney visits. What is the doubled recipe?
Answer:
16 tablespoons of cocoa and 4 tablespoons of sugar just multiply by 2
ILL GIVE BRAINIEST PLZ HELP the volume of a golf ball is approximately 4.in3 what is the diameter round you answer to the nearest whole number
Answer:
13.50200 or 13
Step-by-step explanation:
you use c = 3.14 (which is pie) x d to get the full sphere, hopefully this is correct
Find the sum.
√6+1=?
Answer:
3
Step-by-step explanation:
√6 = 2.449489742784178
2.449489742784178 = 2.00 (rounded)
2+1=3
The solution set of 2(x+4) -5 =-4 is *
-5
3
5
-4
Step-by-step explanation:
2(x+4)-5=-4
2x+8-5=-4
2x=-4-8+5
2x=-12+5
2x=-7
x=-7/2
A picture frame can hold a photograph that is 16 inches long and 12 inches wide
What is the area of the photo that fits the frame?
Answer:
16 X 12 = 192 squared inches
G e o m e t r y
help me
(Answer Correctly and explain)
-I give brainliest,thankyou's ans star ratings-
Help and explain please?
15.
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.
northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h
northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h
Answer:
In 1.25 hours, their combined speed is 40 km, so their speed per hour is 32 km/h
So the answer is B. northbound bicyclist = 18 km/h
southbound bicyclist = 14 km/h
Step-by-step explanation:
the speed of the slower is x and the faster x+4 km/h
that equals 32 km and the speed of the slower is 14 km/hr and the faster 18 km/hr.
in 1h15m the slower goes 17.5 km and the faster 22.5 km
Answer:northbound bicyclist = 18 km/h; southbound bicyclist = 11 km/h
what is −1−2.5 as a decimal
Answer: 3.5
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
$56,990 with a interest rate of %50 with a extra 4,000 comes into Dolan’s account every 2 weeks, how much will he have if he waits 3 years?
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
Need help on this one
Answer:
Step-by-step explanation:
The first step is to isolate g.
Multiply by 4
When you do that you get
4*(1/4 g) = 4*(3/5)
g = 12/5
g = 2.4
i will give brainlist
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
Pleeease help meeeeee
Answer:
It would have to either be A or B
Step-by-step explanation:
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.
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of the tree were measured. The length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet 6 inches. What is the height of the tree?
Answer:
17 feets 3 inches
Step-by-step explanation:
Given :
Converting the parameters to inches only:
Recall:
1 feets = 12 inches
Man's height : 5 feets 9 inches = (12 *5) + 9 = 69 inches
Man's shadow : 3 feets 6 inches = (12 * 3) + 6 = 42 inches
Tree's shadow : 10 feets 6 inches = (12 * 10) + 6 = 126 inches
(Tree's height / tree's shadow) = (man's height / man's shadow)
Let tree's height = x
x / 126 = 69 / 42
Solve for x
42x = 126 * 69
42x = 8694
x = 8694 / 42
x = 207 inches
207 / 12 = 17 feets 3 inches
Answer:
17.25 ft
Step-by-step explanation:
The figure shows two triangles X Y Z and H R Q. Side X Y has a length of h units, side Y Z has a length of 10 feet 6 inches, angle Y is a right angle. Side H R has a length of 5 feet 9 inches, side R Q has a length of 3 feet 6 inches. Angle R is a right angle.
Let h be the height of the tree.
Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.
ZY=(10⋅12) in.+6 in.
Simplify.
ZY=126 in.
QR=(3⋅12) in.+6 in.
Simplify.
QR=42 in.
HR=(5⋅12) in.+9 in.
Simplify.
HR=69 in.
ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground are congruent: ∠Z≅∠Q.
∠Y≅∠R by the Right Angle Congruence Theorem.
Therefore, by the Angle-Angle Similarity △ZXY~△QHR.
Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tree).
ZY/QR = XY/HR
Substitute the values.
126/42=h/69
Cross multiply.
42h=69(126)
Simplify.
42h=8694
Divide both sides by 42.
h=207 in.
Therefore, the height of the tree is 207 in., or 17.25 ft.
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:
need answer fast!
Find the product of ( 2x^2 − 4x + 3 ) ( 3x + 6 ) using the box method shown below. What will the monomial be in the box marked with a B?
Select one:
a. - 12x 2
b. - x 2
c. - x
d. - 12x
Answer:
[tex]-12x^2[/tex]
Step-by-step explanation:
Think of the box method as completing a chart or a multiplication table.
We can see that box B is in the second column of the first row. The second column is labeled by -4x. The first row is labeled by 3x. So, in order to fill out box B, you have to multiply -4x and 3x together.
To do so, multiply the terms' coefficients (the numbers in front of the variable). -4 times 3 makes -12. Then, multiply the variables - just keep the variable and add their exponents. x and x both have exponents of one, which makes [tex]x^1^+^1[/tex], resulting in [tex]x^2[/tex]. Put them together and the answer would be [tex]-12x^2[/tex].
HELPPP what is 2x - 5 by the Square root of 9
help me solve please
Answer:
x=78; x=56
Step-by-step explanation:
For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:
102+x=180
Subtract 102 from both sides:
x=78
For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:
34+x=90
Subtract 34 from both sides:
x=56
help me plz will mark brainliest (final project btw)
Answer:
Angle 1: 68
Angle 2: 136
Angle 3: 46