Answer: y = 734x + 350
Step-by-step explanation:
y = mx + b
let x be the number of cars he sells, then:
y = 734x + 350
what is equvalint to 1/2a-4
Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?
Answer:
3600
Step-by-step explanation:
125%=4500
5*25%=4500
25%=900
125%-25%=100%
4500-900=3600
Which expression models the phrase "Wally mowed two more lawns than he mowed last week"? n + 2 n minus 2 2 minus n 2 n
Given:
The phrase is "Wally mowed two more lawns than he mowed last week".
To find:
The expression that models the given phrase.
Solution:
Let the number of lawns mowed by Wally last week be n.
We know that, we use plus sign "+" for "more".
If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.
Lawns mowed this week = [tex]n+2[/tex]
The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
If john works 20 hours a week and gets a fixed amount of 4 dollars for the first 8 hours and an additional 2 dollars for each additional hour, how much money does he make?
Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)
9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
Additional comment
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
A culture of bacteria has an initial population of 330 bacteria
and doubles every 8 hours.
what is the population of bacteria in the culture after 17 hours,
to the nearest whole number?
Answer:
1439.4702≈1439
please give solutions kindly write and send pic in my whatsap no.( eight zero one seven zero zero zero nine five zero)
Answer:
You simply take the values away from 180°.
a) 180-85-65 = 30°
b) 180-37-63=80°
c) 180-52-78=50°
d) 180-102-58=20°
e) 180-100-60=20°
f) 180-105-25=50°
g) 180-127-23=30°
(section 6.1) Find the length of the small arc formed by the intersection of the unit circle a circle centered at the origin with a radius of 1: x2 + y2 = 1 and the line 2 y=1/2
Answer:
The length of the arc is approximately 2.0944
Step-by-step explanation:
The given parameters are;
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°
The circumference of the circle, C = 2·π·r
∴ C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
∴ l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.0944
The length of the arc is approximately 2.09
The intersection of the unit circle a circleFrom the question, we have the following parameters
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
The line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
Determine the subtended angle
The angle subtended by the arc is expressed as:
θ = 2 × arctan((√3/2)/(1/2))
θ = 120°
The circumference of the circle, C = 2·π·r
C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.09
The length of the arc is approximately 2.09
Learn more on length of an arc here:https://brainly.com/question/2005046
HELP
Write an equation of the line in slope intercept form using the graph below.
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
I need help with this math problem on get more math the photo is at the top
Answer:
30
Step-by-step explanation:
6x5=30 Just took the test and got 100%
Help help help help help help
Answer:
volume = 160 cm³
Step-by-step explanation:
volume = 4 x 4 x 10 = 160 cm³
if the force of an object is 100N and the mass is 25Kg, what is the acceleration?
Answer:
4ms-²
Step-by-step explanation:
Applied Force=100N
Mass of the object=25Kg
Let the acceleration be 'a'.
Force=Mass*Acceleration
100=25*a
100/25=a
4=a
Please help I an desperate
Answer:
A
Step-by-step explanation:
Draw an angle of 15° like this (∠) on a piece of paper, label this angle J, extend the base of the triangle and label the hypotenous 11cm (JK). Do you get the solution now? If no, here is an explanation.
This problem can be explained with sin law,
[Assume KL = 4cm]
(sin15)/4 = (sinL)/11
L = 45.4° or 135° (3 sig. fig.)
Since we got 2 possible case for the angle L, there are two possible set of triangles. Hope this will help you understand more about the problem, comment below if you still have any questions.
The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)
Answer:
92 minutes
Step-by-step explanation:
"Roughly" 17,150 miles per hour
(which is about 5 minutes per second)
this means that the space station orbits Earth once every 92 minutes.
hoped that helps you and God bless
Write the equation of a line in slope-intercept form with a slope of 2 and
passes through the point (-3,1)
Answer:
y = 2x + 1
Step-by-step explanation:
Hope this helps!
To lease his car, Greg had to pay a $1000 down payment, plus $250 per month. Write an equation that represents the total amount paid. DO NOT PUT ANY SPACES IN YOUR ANSWER.
Answer:
250x+1000
Step-by-step explanation:
The linear equation that represents the total amount paid is 1000 + 250x.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given,
Amount of down payment = $1000
Per month payment = $250
For x number of months = $250x
Total paid = 1000 + 250x
Hence "The linear equation that represents the total amount paid is 1000 + 250x".
For more about the equation,
brainly.com/question/10413253
#SPJ5
Your parents are buying a new car for $15,000. They pay 6.25% sales tax . How much do they pay for the car including tax
Answer:
$15,937.50
Step-by-step explanation:
15000 × 1.0625 = 15937.5
Plz help will give brainliest!
Answer:
8.7
Step-by-step explanation:
would the answer be 36?
Answer:
No, it would be 72
Step-by-step explanation:
In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)
Pls give brainliest
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.
Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg. We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:
d = √(15² + 8²) = √289 = 17
The distance between the given points is 17 units.
what is a reasonable estimate of the probability that the next tucker family vacation lasts less than 3 days?
Answer:
i cant estimate it but i think 4
13 (3) = ???
Please help ant get the answer for nothing...
Answer:
39
Step-by-step explanation:
13 x 3?
Write an equation of a parabola opens upwards and has vertex (7, - 6).
Any help?
Answer:
f(x) = x² - 14x + 43
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (7, - 6 ) , then
f(x) = a(x - 7)² - 6
Since the parabola opens upwards then a > 0
let a = 1
f(x) = (x - 7)² - 6 ←in vertex form
f(x) = x² - 14x + 49 - 6
f(x) = x² - 14x + 43 ← in standard form
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid
Answer:
If my calculations are correct, $5415.75 of interest was paid throughout 6 years.
Step-by-step explanation:
7.25% of 12,450 is 902.625.
If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.
In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.
Hope this helps.
In the figure, all lines intersect at point W.
What is the value of n?
Please help quick
Answer:
n = 15
Step-by-step explanation:
A straight line equals 180 degrees
Angle SWT is congruent to angle XWV meaning:
SWT (55 degrees) = XWV (55 degrees)
Set up an equation:
3n + 80 + 55 = 180
Combine like terms
3n + 135 = 180
Subtract both sides by 135 to isolate variable n
3n = 45
Divide both sides by 3 to isolate variable n
n = 15
How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.
Answer:
C, you can use rotations to describe a change in the position of a figure.
Find two positive consecutive integers such that the square of the first added to three times the second is 24
Answer:
3 and 5
Step-by-step explanation:
Let the two consecutive odd integers be x and x + 2.
Now,
The given statement is
[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]
Taking x=3.
Hence, two consecutive odd integers are 3 and 5.
Mary Beth has a ribbon that is 15 cm long. Alicia has a ribbon that is 9 cm long. How many centimeters of ribbon do they have?
Answer:
24cm
Step-by-step explanation:
The ribbons they both have can be found by adding 15 to 9
15 + 9 = 24cm
