Find the sum. (w+8) + 2(w +9)
Solve the system.
y=6x-1
y=3x-4
The solution is _____
.
Explain your choice of method.
Answer:
(-1, -7)
Step-by-step explanation:
Solve by graphing.
Graph the two equations together.
The lines intercept at (-1, -7).
Hope this helps.
Answer:
Solution: (-1, -7)
Step-by-step explanation:
6x - 1 = 3x - 4
Subtract 3x from both sides;
3x - 1 = -4
Add 1 to both sides;
3x = -3
Divide both sides by 3;
x = -1
Substitute x into the equation;
y = 3(-1) - 4
y = -3 - 4
y = -7
What is the domain of the given relation?
{(1, 3), (0, 4), (2, 1);
А
{1,3,4}
B
{0, 1, 3}
с
{1, 2,4
D
{0, 1, 2}
Answer:
[tex]\{0,1,2\}[/tex]
Step-by-step explanation:
Given:
[tex]\{(1, 3), (0, 4), (2, 1)\}[/tex]
Required
Determine the domain
A relation is represented as: [tex]\{(x_1, y_1), (x_2, y_2), (x_3, y_3).....(x_n,y_n)\}[/tex]
Where:
[tex]\{x_1,x_2,x_3.....x_n\}[/tex] are the domain of the relation
So, by comparison:
[tex]\{1,0,2\}[/tex] or [tex]\{0,1,2\}[/tex] represents the domain
Problem Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter. Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
Complete question :
Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.
Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
How much will Sathish pay for gas?
Answer:
$64.8
Step-by-step explanation:
Given that :
Total length of trip = 2100 km
Length of journey with Satish alone in the car:
(150km) beginning + (150km) ending = 300km
Length of journey with Satish and 2 friends :
2100 km - 300 km = 1800 km
Gas consumption:
6 liters per 100km
Cost of gas = $1.2 / litre
Consumption when Satish is alone :
(6 litres /100 km) * 300km = 18 litres
Cost = $1.2 * 18 = $21.6
Consumption with his 2 friends :
(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres
Cost = $1.2 * 108 = $129.6
Since amount is shared equally :
Amount paid by sattish = $129.6 / 3 = $43.2
Hence, total amount paid by Sattish is :
$21.6 + $43.2
= $64.8
Answer:
64.80 or 64.8
Step-by-step explanation:
whatever works <333
what does this equal 50+80
also, what is 50+80
Answer: 50+80=130
I wasn’t really sure of what you were really asking, apologies.
Answer:
130 is your answer!
Step-by-step explanation:
50 + 80 can be put as 5 + 8 = 13 and then add a 0. You will get 130!
what is the x and y intercepts using this equation?
2y + 6 = 0
Answer:
x is 2 and 6 is y
Step-by-step explanation:
Because Kendall's business spent more money than it collected, the business's balance sheet showed a balance of -$1,280$ at the end of the month. The next day, Kendall's business spent $560 on new tools. Part A Kendall determines that the new balance is -$720 because 1,280 + 560 = -720 . Did Kendall correctly determine the new balance? Explain why or why not. If not, calculate the new balance. Respond in the space provided.
Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.
Step-by-step explanation:
From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.
Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:
= -$1280 - $560
= - $1840
The new balance is -$1840
Answer:
She is not correct. The correct answer should be -$1840
Step-by-step explanation:
Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.
It’s percentage need help
Answer:
Last week, she earned a total of $702 last week in commission.
Step-by-step explanation:
To solve this, we first need to find 13% of $5,400.
5,400 x 0.13 = 702
Therefore, Nadia earned a total of $702 last week in commission.
Now, we need to calculate how much money she'll earn in a whole year. So, let's see how many weeks are in a year.
1 year = 52 weeks when rounded to the nearest whole number
702 x 52 = $36,504
Therefore, Nadia earned a total of $36,504 in commission in 2011.
Hope this helps! :D
If the simple interest on $3000 for 7 years is 840$, then what is the interest rate?
Answer:
Step-by-step explanation:
4%
At a baseball game, a vender sold a combined total of 102 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold. Number of sodas sold: Number of hot dogs sold:
Answer: 132 hamburgers and 30 sodas
Step-by-step explanation:
x= Number of hamburgers
y= Number of sodas
1 x + 1 y = 102
1 x -1 y = 30
Eliminate y
Add the two equations
2 x = 132
/ 2
x = 66
plug value of x in (1)
1 x + 1 y = 102
132 + y = 102
y = 102 -132
y = 30
y = 30
x= 132 Number of hamburgers
y= 30 Number of sodas
Answer:
Hotdogs=36
Sodas=66
Step-by-step explanation:
X-Hotdogs
Y-Sodas
Y-30=X
Y+X=102
New equation: 102-X-30=X
Add X to both sides
102-30=2x
x=36
y=66
Joey has 40 chocolate bars. He gave 30 away. How many does he have?
Answer:
10....... and friends with diabetes
Step-by-step explanation:
Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. y = x3/4, x = 0, y = 1 (in the first quadrant); about the y-axis
The volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.
To find the volume of the solid formed by rotating the region bounded by the curves y = x³/4, x = 0, y = 1 in the first quadrant about the y-axis, we can use the method of cylindrical shells.
The formula for the volume using cylindrical shells is:
[tex]\mathrm V = \int\limits^a_b {2\pi \mathrm x \times \mathrm f(x)} \, dx[/tex]
Where:
a and b are the limits of integration (in this case, a = 0 and b = 1 since we are rotating in the first quadrant).
f(x) is the height of the shell at the given x-value.
2πx is the circumference of the shell at the given x-value.
In this case, we need to express y = x³/4 in terms of x to find the function f(x).
Given: y = x³/4
To find the function in terms of x, solve for x:
[tex]x = (4y)^{(1/3)[/tex]
Now, the function f(x) becomes:
[tex]\mathrm f(x) = (4x)^{(1/3)[/tex]
Now, let's calculate the volume using the cylindrical shell method:
[tex]\mathrm V = \int\limits^1_0 {2\pi \mathrm x \times \mathrm 4x^{1/3}} \, dx[/tex]
[tex]\mathrm V = 2\pi \int\limits^1_0 { x^{4/3}} \, dx[/tex]
To integrate, add 1 to the exponent and divide by the new exponent:
[tex]\mathrm V = 2\pi \times (3/7) \times x^{(7/3)} |^0_1[/tex]
Now, evaluate the expression at the limits of integration:
[tex]\mathrm V = 2\pi \times (3/7) \times (1)^{(7/3)} - 2\pi \times (3/7) \times (0)^{(7/3)[/tex]
[tex]\mathrm V = 2\pi \times (3/7) - 0[/tex]
[tex]\mathrm V = 6\pi/7[/tex]
So, the volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.
Learn more about Revolving solid click;
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Find the slope of the line that passes through (5,2) and (9,6).
Answer:
1
Step-by-step explanation:
slope m=y2-y1/X2-x1
=6-2/9-5
=4/4= 1
Factorise
X squared + 13x + 40
One week, Ellie earned $72.50 at her job when she worked for 5 hours. If she is paid
the same hourly wage, how many hours would she have to work the next week to earn
$232.00?
Answer:
The corect answer is 16.
Step-by-step explanation:
$ 72.50 per 5 hours = $14.50 per hour ....
because 72.50 ÷ 5 = 14.50
THEN
$232.00 ÷ $14.50 (in other words→23200 ÷ 1450) = 16
Thats it, I also needed help but after hours of consideration I got it.
help plss i will mark brainliest
Answer:
x = 8
Step-by-step explanation:
10 x 8 = 80 and the bottom would equal 80 as well so you would get 1 ^^
Answer:
x =25/2
10/8 = x/10
- Cross multiply
8x=100
- Divide both sides by 8
x=100/8
- Simplify
x=25/2
Hope This Helps!
Hey guys happy holidays! any help is appreciated :)
Answer:
That is definitely C
happy holidays to you too
Original Equation: -5x + 2 = 5
First Step: --5x = 3
distributive property of multiplication over addition
subtraction property of equality associative property of addition
division property of equality
Answer:
subtraction property of equality.
Step-by-step explanation:
the change made in the equation is that you subtracted 2 on both sides, which cancels out the 2 on the left and equals the 3 on the right. hope this helps :)
need help with algebra
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answer:
:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
To solve more questions on equation modelling, visit the link below-
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solve the equation 2(x+2x)=36
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Equation
2(x + 2x) = 36
Step 2: Solve for x
Combine like terms: 2(3x) = 36Divide both sides by 2: 3x = 18Divide both sides by 3: x = 6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2(6 + 2(6)) = 36Multiply: 2(6 + 12) = 36Add: 2(18) = 36Multiply: 36 = 36Here we see that 36 does indeed equal 36.
∴ x = 6 is the solution to the equation.
Answer :
2(x+2x)=36
2x + 4x =36
6x =36 is the answer
Hope it helped
solve for X !
answer quickly please
HELP PLZ!!!!! A fireman's ladder is placed against a wall. The bottom of the ladder is 15 ft away from the wall and the top of the ladder touches the wall at a point 80 ft above the ground. Assuming that the slope is positive, what is the slope of the ladder? Round your answer to the nearest hundredth.
Answer:
5.3
Step-by-step explanation:
We know that the bottom of the ladder is 15 feet from the wall, and it touches the wall 80 feet above the ground. Imagine it like two points on a graph. One is at the origin (0,0). That represents the bottom of the ladder. The next one is at (80,15), which represents where the top is. To find slope, we divide rise (y-values) over the run (x-values). The y value increases by 80, while the x increases by 15. 80 divided by 15 equals about 5.3
What is the slope of the line.
Answer:
The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
Step-by-step explanation:
Plz help this is worth 30 points
Answer:
Choice A
Step-by-step explanation:
Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?
Consider these functions:
f(x) = 2x3 + 3
g(x) = x – 4
What is the value of g(f(x))?
Answer:
2x^3+3-4
Step-by-step explanation:
Answer:
2x^3 - 1
Step-by-step explanation:
Plato/Edmentum
4. slope: -y-intercept
: -2
Answer:
y = 4/1 - 2
Step-by-step explanation:
That is your words in slope intercept form
SOMEONE PLEASE HELP WILL MArk BRAINLIEST ‼️‼️
Answer:
y=3x+2
Step-by-step explanation:
Whats the absolute value of 3 1/7
Answer:
3.142857 (3.14)
Step-by-step explanation: