Answer:
im not sure but i think 3
Step-by-step explanation:
If Jan jogged 7x - 12 miles and Julie jogged 35x - 60miles , how many times longer was Julie's travel distance than Jan's?
Answer:
Julie jogged five times further than Jan.
Step-by-step explanation:
We can find this solution just by dividing Julie's distance by Jan's:
[tex]\frac{35x - 60}{ 7x - 12} \\\\= \frac{5(7x - 12)}{ 7x - 12} \\\\= 5[/tex]
So Julie jogged five times further.
Which equation represent a circle with a center at (2,-7) and a radius of 4 units ?
Answer:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
Step-by-step explanation:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?
Answer:
[tex]P(x) = 3x - 10[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 5x[/tex]
[tex]C(x) = 10 + 2x[/tex]
Required
Determine [tex]P(x) = (R - C)(x)[/tex]
In functions;
[tex](f - g)(x) = f(x) - g(x)[/tex]
So, we have:
[tex]P(x) = (R - C)(x)[/tex]
[tex]P(x) = R(x) - C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]P(x) = 5x - (10 + 2x)[/tex]
Open bracket
[tex]P(x) = 5x - 10 - 2x[/tex]
Collect Like Terms
[tex]P(x) = 5x - 2x- 10[/tex]
[tex]P(x) = 3x - 10[/tex]
What is the perimeter of a square with a dimensions of (3x^2 +1)
Please help I need it ASAP.
Answer:
12x^2+4
Step-by-step explanation:
4(3x^2+1)
Hello! Help please 5 questions for 17 points
1. 1/35 it goes up 35 and goes right 1
A bag contains orange, white, and purple marbles. If you randomly
choose a marble from the bag, there is a 23% chance of drawing an
orange marble and a 48% chance of drawing a white marble. What is the
probability of choosing a purple marble? Express your answer as a
percent
Answer:
29%
Step-by-step explanation:
48%+23%= 71%
100%-71%=29%
What is the first step you would take to solve the equation 5x - 12 = -20?
Divide 5x and -20 by 5.
Add 20 to both sides.
multiply 12 by .
Add 12 to both sides.
Answer:
The first step would be to add twelve to both sides
Step-by-step explanation:
Answer:
add 12 to both sides
Step-by-step explanation:
What we want to do, is to isolate the variable and the numbers on different sides.
if we divide 5x and -20 by 5, what about -12? It's part of the equation too.
If we add 20 to both sides, the numbers and the variable are on the same side, so we'll need to subtract it back off to isolate both.
If we multiply 12 by (what was there) it won't be isolating the variable or numbers. We'll just be increasing the value of the terms already there.
However, if we add 12 to both sides, we'll be isolating both the variable AND the numbers onto different sides.
therefore, add 12 to both sides.
Hope this helps!
does pablos cell phone plan offer the same ratio of free to paid minutes as sams? explain
Answer:
So the answer would be No Pablo's cell phone plan does not offer the same ratio of free to paid as Sam's because Pablo's cell phone plan provides free minutes which are basically equal to the paid minutes.
Step-by-step explanation:
Hope this helps and have a great day!!!
Can you help with both questions please :)
Answer:
X(4x+x^2)
Step-by-step explanation:
First the LCM is x
Now just distribute
The dimensions of a square are altered so that 10 inches is added to one side while 1 inch is subtracted from the other. the area of the resulting rectangle is 80in^2. how much larger is the area of the rectangle compared to the square?
The area of the rectangle is 44 square inches larger than the area of the square.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.
So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.
Since the area of the rectangle is given as 80 square inches, we can set up the equation:
s² + 9s - 10 = 80
Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.
The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.
Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
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Evaluate the expression.
Answer:
40
Step-by-step explanation:
To solve this question you will need to use BEDMAS which is the order of which numbers you have to solve first. In this case you need to solve the brackets first, then the exponent, and then lastly the addition.
3^3 + 3(4 + 1/3)
= 3^3 + 3(13/3)
= 27 + 3 x 13/3
= 27 + 13
= 40
The graph of 3x − 2y = -1 is shown on the grid.
Answer:
slope: 3/2, y-intercept: (0,1/2)
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
What is the Domain of the graph?, and What is the Range of the graph ?
Answer:
Domain is 0-12 and the range is 0-10
Step-by-step explanation:
The domain is the x values and the range is the y values
Answers:
Domain: [tex]0 \le x \le 12[/tex]
Range: [tex]0 \le y \le 10[/tex]
===============================================
Explanation:
The domain is the set of all possible x inputs. The x axis is along the horizontal, so x refers to the number of minutes. The smallest x can get is x = 0 and the largest is x = 12. To describe everything in between those endpoints, including both endpoints, we write [tex]0 \le x \le 12[/tex]
The range is the set of all possible y outputs. The y axis is vertical so y refers to the distance from home. The smallest distance is y = 0 and the largest distance is y = 10. So we say the range is [tex]0 \le y \le 10[/tex] to describe everything in between 0 and 10, including those endpoints.
Side note: 12 minutes = 12/60 = 0.2 hours. You travel 10 miles in 0.2 hours, so the speed is distance/time = 10/0.2 = 50 mph.
what is the problem where women =evil?
1
ok that ok dffhbgufuodwrebygfshdhrfgtbhjdufyhg t
The perimeter of a rectangular lot of land is 448 A. This includes an easement of x feet of uniform width Inside the lot on which no building can be done . If the buildable area is 140 ft by 64 determine the width of the easement.
Answer:
[tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]
The width of the easement is [tex]x\ \text{ft}[/tex]
Buildable area 140 ft by 64 ft
[tex]2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=\dfrac{448}{2}\\\Rightarrow 204+4x=224\\\Rightarrow x=\dfrac{224-204}{4}\\\Rightarrow x=5\ \text{ft}[/tex]
The width of the easement is [tex]5\ \text{ft}[/tex].
Which of the following equations best represents the line of best fit for the data in the scatterplot?
Answer:
the answer is b bc the line is positive
Step-by-step explanation:
The equation that best represents the line of best fit is -
y = (1/2)x - 1
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the line of best fit for the data in the scatterplot.
The line passes through the points -
(0, - 1) and (2, 0).
Then, the slope will be -
m = 1/2
and the [y] - intercept is -1. So the equation that best represents the line of best fit is -
y = (1/2)x - 1
Therefore, the equation that best represents the line of best fit is -
y = (1/2)x - 1
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
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factor x^3 +7x^2−5x−35
Answer:
(x^2-5)(x + 7)
Step-by-step explanation:
Here, we want to factorize the given expression
That would be;
x^2(x + 7) - 5(x + 7)
= (x^2-5)(x+ 7)
Answer:
(x+7) (x^2 - 5)
Step-by-step explanation:
x
3
+7x
2
−5x−35
=x
2
(x)+x
2
(7)−5(x)−5(7)
=x
2
(x+7)−5(x+7)
Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:
\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}
=x
2
(x+7)−5(x+7)
=(x+7)(x
2
−5)
Can somebody help me ?
Answer:
The correct answer is whole
can someone help me please? find the value of each variable..
Answer:
x = 4, y = 3
Step-by-step explanation:
the area of a 12-cm- wide rectangle is 180cm. what is its length?
Answer:
multiply the legth times width
Step-by-step explanation:
There are 1,092 people who work in an office building. The building has 4 floors, and the same number of people work on each floor. How many people work on each floor?
Answer:
273 people.
Step-by-step explanation:
Given that,
Total number of people working on an office building = 1092
The building has 4 floors, and the same number of people work on each floor.
We need to find how many people work on each floor. Let there are n people in each floor.
n = Total number of people/Total number of floors
[tex]n=\dfrac{1092}{4}\\\\n=273[/tex]
So, there are 273 people working on each floor.
what is the solution of √5x+1-√x=5
Answer: x= 16
Step-by-step explanation:
Solve for x
√(5x + 1) − √x = 5
Add √x to both sides of the equation.
√(5x + 1)^2 = 5( + √x )^2
To remove the radical on the left side of the equation, square both sides of the equation.
√5x + 12 = (5 + √x)^2
Simplify each side of the equation.
5x + 1 = 25 + 10√x + x
Solve for 10√x.
10√x = 4x − 24
To remove the radical on the left side of the equation, square both sides of the equation.
(10√x)^2 = (4x − 24)^2
Simplify each side of the equation.
100x = 16x^2 − 192x + 576
Solve for x.
x = 9/4 , 16
Exclude the solutions that do not make √5x + 1 − √x = 5 true.x = 16
A line with slope 1/2 passes through the point (8, -1). What is the equation of this line?
THE ANSWER HAS TO BE A INTEGER OR A DECIMAL. ANSWER FOR 50 POINTS.
Answer:
-2.5 ozStep-by-step explanation:
The proportion relationship is:
y = kxUsing the table we find the value of k:
-0.14 = 7kk = -0.14/7k = - 0.02For the value of x = 125, the value of y is:
125*(-0.02) = -2.5Why can you remove you can remove an x-tile from each side of the mat?
Find the equation of the circler whose diameter has the end points A( 5,4) and B(7,4)
Answer:
(x-a) whole square + (y-b) whole square =r square
you will get answer
WILL GIVE BRAINLIEST
In the two-step equation below, what is the second step you would take to solve this equation?
3/4f+5=-5
a. Multiply both sides by 4/3
b. Add five to both sides.
c. Multiply by sides by 3/4
d. Subtract 5 from both sides.
Answer:
a. Multiply both sides by 4/3
Step-by-step explanation:
Since you're dealing with a fraction, multiplying both sides by the reciprocal, which is the fraction flipped, it could cancel out the fraction so now x is alone on one side.
Hope this helped! :)))
The ratio of country albums to jazz albums in a music collection is 2:3. If the music collection has 45 albums,
how many are country albums?
Answer:
18 albums
Step-by-step explanation:
2x+3x=45
5x=45
x=9
country=2(9) = 18 album
I would greatly appreciate some help with this problem.
Answer: I think C
Step-by-step explanation:
The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire? Please leave a detailed explanation of how you got your answer!! Thank You!
Answer:
22.91 inches
Step-by-step explanation:
circumference = 2πr
2πr = 72 inches
2 x [tex]\frac{22}{7}[/tex] x r = 72
[tex]\frac{44}{7}[/tex] x r = 72
Solving for r , divide both sides of the equation by 7/44
r = 11.454545 inches
diameter= 2 x radius
2 x 11.454545 inches = 22.91 inches