Answer:
open the brackets is the first step
Step-by-step explanation:
4x(12 + 8x) -9x( 12+8x) = 36x
48x + 32x^2 -108x -72x^2 =36x
32x^2 - 72^2 + 48x - 36x - 108x = 0
-40x^2 -96x = 0
find x using quadratic formular
Choose an expression equal to: 12x + 9
Answer:3
3(4x+3)
Step-by-step explanation:
can someone please help its due tomorrow.
What is the value of the expression below when w=7 and x=2?
3w - 4x
Answer:
13
Step-by-step explanation:
3(7)-4x
3(7)-4(2)
21-8
=13
Loch ness is the largest lake in Scotland.
The lake has a volume of water of 7.45x10^9 m^3.
The volume of water in Lake Superior is k times the volume of water in Loch ness.
Lake Superior = 8.21x10^10
Work out the value of k.
Give your answer correct to 3 significant figures.
Answer:
11.020
Step-by-step explanation:
vol of l.supe = k(lochness)
88.21 * 10^10 = k( 7.45 * 10^9)
divide and k =11.020
in fraction = 1642/149
mr minnelo hasksidir
Answer:
Who has that name?
Step-by-step explanation:
What's the question i'm really curious lol
Which of the following sets of numbers could represent the three sides of a right
triangle?
Answer:
(45,60,75)
Step-by-step explanation:
Because 45^2 + 60^2 = 75^2
5625 = 5625
Solve the problem
( Show your work )
2x + 10 =- 4x – 9
Answer:
x = -19/6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
2x + 10 = -4x - 9
Step 2: Solve for x
Add 4x on both sides: 6x + 10 = -9Subtract 10 on both sides: 6x = -19Divide 6 on both sides: x = -19/6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2(-19/6) + 10 = -4(-19/6) - 9Multiply: -19/3 + 10 = 38/3 - 9Add/Subtract: 11/3 = 11/3Here we see that 11/3 does indeed equal 11/3.
∴ x = -19/6 is the solution to the equation.
During an online sale, you buy three sweatshirts and two pairs of sweatpants for $85.50. Later you buy three more sweatshirts and four more pairs of sweatpants for $123. (You can never have too many sweats during a pandemic). What is the sale price of each sweatshirt and each pair of sweatpants?
Answer:
Step-by-step explanation:
let
x = price of a sweatshirt
y = trice of sweatpants
three sweatshirts and two pairs of sweatpants for $85.50
3x + 2y = 85.50
three more sweatshirts and four more pairs of sweatpants for $123
3x + 4y = 123
by solving the system of equations
3x + 2y = 85.50
3x + 4y = 123
we find
x = $16
y = $18.75
What is the perimeter?
Answer:
26
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
6 +6=12
12+3=15
15+2=17
17+4=21
HELPPP!!! ASAPP!!!! FINALSSS!!!!
Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)
Answer:
No solutions
Step-by-step explanation:
In this question, you would be solving for x.
Solve:
5 + 2(3 + 2x) = x + 3(x + 1)
Use the distributive property.
5 + 6 + 4x = x + 3x + 3
Combine like terms.
11 + 4x = 4x + 3
Subtract 4x from both sides.
11 = 3
Since we don't have an "x value", there are no solutions.
"No solutions" would be your answer.
Factor the following polynomial.
98x3 – 18x
Answer:
2x(7x - 3)(7x +3)
Step-by-step explanation:
Find common factors between the 2 numbers:
98x^3 - 18x
2x(49x^2 - 9)
now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:
2x(7x - 3)(7x +3)
Solve the inequality.
1/3+x2/8>_5/6
A)X<_17/18
B)x>_17/18
C)x>_1 17/18
D)x>_5/18
PLS HELP! DUE IN 10 MINS PLS!!!!!!!!!!!!!!!
Answer:
25 metres per second
Step-by-step explanation:
just divide 100 by 4 and you will get the answer.☺️☺️
Answer:
25 m/s
Step-by-step explanation:
train a travels at 12.5 m/s and will arrive at 100m in 7s.
train b arrives at the same distance, 100m, in 4s. so that means train b is going at 100m/4s and then simplify that
therefore train b is moving at 25m/s
Simplify.
9/3x + 4+ 2x
Answer:
5x+4
Step-by-step explanation:
Jamie went to the movies with her twin sister, Jenna. They bought one large soda for $4.95 and 3 boxes of candy. Each box of candy cost the same amount. They spent a total of $18.45. Select the equation that best represents how you would solve for c, the cost of each box of candy?
Answer:
The Equation we can use to solve for the cost of each box of candy =
4.95 + 3b = 18.45
The cost of each box of candy = $4.5
Step-by-step explanation:
Let the number of boxes of candy be represented by: b
Each box of candy cost the same amount
Hence from the question above, we have the Equation:
$4.95 + 3b = $18.45
4.95 + 3b = 18.45
3b = 18.45 - 4.95
3b = 13.5
b = 13.5/3
b = 4.5
The cost of each box of candy = $4.5
Question 3
True or false. A discount will add to the total cost you
will pay for an item.
Answer:
False
Step-by-step explanation:
Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 27 dollars but charges an additional $32 each month for how many months is fabulous fitness less expensive than wonder weights? Set up and solve an equality to determine your answer
Answer:
9 months
Step-by-step explanation:
Given
Fabulous fitness charges a one-time fee of $90 and an additional $25 per month
let the number of months be x
and the total charges be y
y= 25x+90---------1
Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month
let the number of months be x
and the total charges be y
y= 32x+27------------2
Required
The value of x, that is the number of months
Step two:
Equating both equations we have
25x+90=32x+27
collect like terms
25x-32x=27-90
-7x=-63
7x=63
divide both sides by 7
x= 63/7
x= 9 months
If the principal is $10, 624 and the rate of interest is 6.25%, what is the amount of interest after four years?
Answer:
$2656
Step-by-step explanation:
6.25% of $10,624 is $664, so that is the amount of interest every year.
$664 times 4 is $2656, so after 4 years $2656 will have been paid.
The number positioned at point E is...
Answer:4 and a half
Step-by-step explanation:
4 and a half
The cost, Y (in dollars) to provide for guests at a dinner party is proportional to the number x of guests attending the party. It costs 30 dollars to provide food for 4 guests.
Maybe you missed to add the complete question. After a little research I was able to find the complete question which is as follows:
''The cost y(in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the party. It costs $30 to provide food for 4 guests. a. Write an equation that represents the situation. b. Interpret the slope. c. How much does it cost to provide food for 10 guests?''
So, I am solving based on this complete question.
Answer:
Please check the explanation.
Step-by-step explanation:
a. Write an equation that represents the situation.
As the cost and the number of guests are proportional.
So the equation of the form
[tex]y = mx[/tex]
Plug in the values y = 30 and x = 4 to find m
[tex]y = mx[/tex]
30 = m (4)
m = 30/4
= 7.5
Now, substituting m = 7.5 in the equation y=mx
[tex]y = mx[/tex]
[tex]y = 7.5x[/tex]
b) Interpreting Slope
Given that the units for y are dollars, and the units for x are guests.
Thus, the slope 7.5 means it costs $7.5 per guest.
c) How much does it cost to provide food for 10 guests?''
We know the equation
[tex]y = 7.5x[/tex]
put x = 10
y = 7.5(10)
y = $75
Thus, it costs 75 dollars for 10 guests.
In 2001, Takeru Kobayashi set a world record by eating 50 hot dogs in 12 minutes. Find Kobayahi's rate of consumption in hot dogs per minute.
If (x − 2) ∶ 5 = 7 ∶ 9, then find the value of x.
Answer:
x=53/9
Step-by-step explanation:
(x-2):5=7:9
9x-18=35
9x=35+18
9x=53
x=53/9
To manufacture scooters, the manufacturer has a fixed cost of 34,400$$ plus a variable cost of n $$ per scooter. Find 100$$, the number of scooters that need to be produced so that the average cost per scooter is 180$$.
Answer:
The number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.
Step-by-step explanation:
Note: This question is not properly structured/written. The question is therefore rewritten properly before answering the question as follows:
To manufacture scooters, the manufacturer has a fixed cost of $34,400 plus a variable cost of $100 per scooter. Find n, the number of scooters, that need to be produced so that the average cost per scooter is $180.
The explanation of the answer is now provided as follows:
The number of scooters can be calculated as follows:
Variable cost per scooter = $100
n = number of scooter = ?
Total variable cost = Variable cost per scooter * n = $100 * n = $100n
Total cost = Fixed cost + Total variable cost = $34,400 + $100n
Average cost per scooter = Total cost / n = $180 ................ (1)
Substituting the value for Total cost into equation (1) and solve for n, we have:
($34,400 + $100n) / n = $180
$34,400 + $100n = $180n
$34,400 = $180n - $100n
$34,400 = $80n
n = $34,400 / $80
n = 430
Therefore, the number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.
f(x)= 3x² +x-2, then f(-2)
Answer:
12
Step-by-step explanation:
just substitute the value in the equation
What is 31/87 as a percentage?
Give your answer rounded to one decimal place.
Answer:
35.6%
Step-by-step explanation:
31/87(100)
3100/87
35.6%
Answer:
35,6%
Step-by-step explanation:
31/87 = 0,35632184
As a percentage: 35,632184%
Rounded to one deciman place: 35,6%
rewrite 2/5 : 1/20 as a unit rate. PLZ HELP
Answer:
8 I believe
step-by-step explanation:
A theater is showing 2 comedies, 1 musical, and 5 action films. Each movie has 3 matinee showtimes and 7 evening performances. Each type of movie and showtime is equally likely to be chosen. If 12,400 people see a movie, how many will be expected to choose a musical during an evening showtime? A 1,085 C 1,240 B 1,189 D 1,550
Answer: 1550
Step-by-step explanation:
Number of people to see the movie = 12400
Number of comedies = 2
Number of musical = 1
Number of action films = 5
The number of people that'll be be expected to choose a musical during an evening showtime will be:
= 1/8 × 12400
= 1550
|14 | + l -3 l =
Pls help meereeeerrrrr
Answer:
What…
Step-by-step explanation:
Determine the shade for the following:
y< 3x-2
Your answer:
O Above
O Below
When it's the > or ≥ sign, the shade/region will be above the graph.
When it's the < or ≤ sign, the shade/region will be below the graph.
Thus, the answer is below.