Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?
Express in the form n:1 ratio
16:8
A publisher wants to figure out how thick their new book will be. The book has a front cover and a back cover, each of which have a thickness of 1/4 of an inch. They have a choice of which type of paper to print the book on. Bond paper has a thickness of 1/4 inch per one hundred pages. Write an equation for the width of the book, y, if it has x hundred pages, printed on bond paper.
Answer:
1/4x+1/4y=?
Step-by-step explanation:
Simplify:
8.7 + 3.2(2p – q) + 2.55 p
Answer:
8.95p-3.2q+8.7
Step-by-step explanation:
Answer:
8.95, 3.2, 8.7
Step-by-step explanation:
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.875
Step-by-step explanation:
For 1 hour you get $7.75
To find how much money you make in 28.5 hours... you multiply the number of hours with the number of dollars.
28.5 * 7.75
$220.875
find the total cost of a video game that costs 29.99 with 8% tax
Answer:
32.39
Step-by-step explanation:
29.99 is 100%
? is 8%
?= 29.99*8/100 about 2.40
so the final cost is the price + tax = 29.99 +2.40= 32.39
Identify each following representation as a function or nonfunction and explain your reasoning.
Answer:
a) and c) - function, b) and d) - nonfunctionStep-by-step explanation:
As per definition, a function is such a relationship that each input has exactly one outputConsidering this we observe that:
a) functionb) not a function as input of -1 has two different outputs o and 1c) functiond) not a function as input of 0 has two different outputs 0 and 0.5What would happen to the product in the following problem:
25×11/11
A.The product will increase
B.The product will decrease
C.the product will stay the same
pls help me my class ends soon, i’ll give brainliest
Answer:
D
Step-by-step explanation:
First of all, she wants to INCREASE her steps per day. A, B, and C all have the same number of steps or fewer steps. I can further prove that the answer is D because if she stars walking 10 extra steps per day, 10 times 100 = 1000 and 5000 + 1000=6000. Please correct me if I am wrong because everybody makes mistakes sometimes. Also, thanks so much for giving me brainiliest!
Edit: If I was helpful to you, please take a shot at my puzzle that's due Monday.
It is worth 100 points and would mean a lot to me if you could try and solve it. Good luck! Here is the link: https://brainly.com/question/19021808
The car traveled 42.5 miles per gallon of gas. If the gas tank in the car could hold 16.5 gallons, how far can the car travel on one tank of gas? (Don't round answer)
Please, help I am really confused!
Answer:
2.57575758
Explanation:
42.5 / 16.5
Rewrite this sentence using BOTH a DOP and an IOP.
Voy a dar una naranja a Juan.
Answer:
Se la voy a dar., Se la voy a dar, se la voy a dar., se la voy a dar, Se la voy a dar a Juan., Se la voy a dar a Juan, se la voy a dar a Juan., se la voy a dar
Step-by-step explanation:
3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the nearest whole degree.
Answer:
x = 3.4
Step-by-step explanation:
recall that for a right angle with an internal angle θ,
cos θ = adjacent length / hypotenuse
in our case,
θ = 55 deg
adjacent length = x units
hypotenuse = 6 units
substitute these into the formula above
cos θ = adjacent length / hypotenuse
cos 55 = x / 6 (multiply both sides by 6)
x = 6 cos 55 (use calculator)
x = 3.4415
x = 3.4 (rounded to nearest tenth)
What is the vertex of the graph?
Answer:
The point (x, y) → (-5, 0) is the vertex of the graph.Step-by-step explanation:
As the given graph represents Parabola
As we know that Parabolas always contain the lowest point, or the highest point if any given parabola is upside-down. This lowest or highest point is the location where the parabola tends to change its direction and called the 'vertex'.Hence, from the given graph, we can easily determine that the parabola changes its direction at x = -5, and y = 0.
Therefore, the point (x, y) → (-5, 0) is the vertex of the graph.What is the slope??? PLEASE HELP!!!
Answer:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Please help middle school math
9514 1404 393
Answer:
3 < b-a < 7
Step-by-step explanation:
The maximum difference will occur when the smallest 'a' value is subtracted from the largest 'b' value:
9 -2 = 7
The minimum difference will occur when the largest 'a' value is subtracted from the smallest 'b' value:
7 -4 = 3
So, the possible range of values of b-a is ...
3 < b-a < 7
If this function is differentials at x=1/2, what is a+b?
===============================================
Work Shown:
Let
g(x) = ax^3 + 2
h(x) = bx^2 + 1
Plug x = 1/2 into each function
g(x) = ax^3 + 2
g(1/2) = a(1/2)^3 + 2
g(1/2) = (1/8)a + 2
and
h(x) = bx^2 + 1
h(1/2) = b(1/2)^2 + 1
h(1/2) = (1/4)b + 1
In order for f(x) to be differentiable at x = 1/2, the function f(x) must be continuous at x = 1/2. If we had a jump discontinuity here, then there is no way the function is differentiable here.
f(x) is continuous at x = 1/2 when g(1/2) = h(1/2).
This means,
g(1/2) = h(1/2)
(1/8)a + 2 = (1/4)b + 1
8*[(1/8)a + 2] = 8*[(1/4)b + 1]
a+16 = 2b+8
a = 2b+8-16
a = 2b-8
We'll keep this in mind for later.
--------------------------------------------------
Now let's compute the derivatives
g(x) = ax^3 + 2
g ' (x) = 3ax^2
h(x) = bx^2 + 1
h ' (x) = 2bx
Now plug in x = 1/2
g ' (x) = 3ax^2
g ' (1/2) = 3a(1/2)^2
g ' (1/2) = (3/4)a
and
h ' (x) = 2bx
h ' (1/2) = 2b(1/2)
h ' (1/2) = b
Equate the two items. We do so because we want f(x) to be differentiable at x = 1/2, so that means g ' (1/2) = h ' (1/2)
So,
g ' (1/2) = h ' (1/2)
(3/4)a = b
3a = 4b
a = (4b)/3
--------------------------------------------------
Earlier we found a = 2b-8.
Since both a = 2b-8 and a = (4b)/3, this means we can equate the right hand sides to solve for b
2b-8 = (4b)/3
3*(2b-8) = 3*(4b)/3
6b-24 = 4b
6b-4b = 24
2b = 24
b = 24/2
b = 12
Which leads to
a = 4b/3
a = 4*12/3
a = 48/3
a = 16
--------------------------------------------------
The piecewise function
[tex]f(x) = \begin{cases}ax^3+2, \ \ x < \frac{1}{2}\\bx^2+1, \ \ x \ge \frac{1}{2}\end{cases}[/tex]
will update to
[tex]f(x) = \begin{cases}16x^3+2, \ \ x < \frac{1}{2}\\12x^2+1, \ \ x \ge \frac{1}{2}\end{cases}[/tex]
To verify f(x) is differentiable at x = 1/2, you should check to see if both pieces evaluate to the same output when you plug in x = 1/2. In other words, you should check to see if g(1/2) = h(1/2).
Also, you should check to see if g ' (1/2) = h ' (1/2) so that f(x) is fully differentiable here. I'll let you do the check portions.
--------------------------------------------------
After getting our a and b values, we can finally say that
a+b = 16+12 = 28
Please help me ASAP
:D
Answer: I think it 616lbs not 100% sure
Step-by-step explanation:
10^2 = 100 + 64 sweet potatoes = 164
10^1 = 10+80 tangerines= 90
10^3= 300 + 62 spaghetti squash = 362
Help for brainliest!!
Answer:
Step-by-step explanation:
so just go look it up in google or sum
hope it helps
Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as . So, of 60 is 15.
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as . So, of 70 is 23.3.
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as . So, of 60 is 12.
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as . So, of 60 is 30.
Answer:D
Step-by-step explanation:
Which expression is equivalent to 2(3x + 4)(x - 1)(x – 3)?
Answer:
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!! Write the equation of the line perpendicular to y=3/4x+9/4 that passes through the point (-5, 2)
Answer:
y = -4/3x - 6
Step-by-step explanation:
1. Find the slope. Since we know that a line perpendicular to another is it's opposite reciprocal, or the product of the two is equal to -1, we can find the slope. -4/3 times 3/4 is -1, so -4/3 would be the slope of this line.
2. Plug in the point and slope into the slope-point equation. The equation would be y - 2 = -4/3 * (x + 6).
3. Simplify. The simplified equation would be y = -4/3x - 6.
Answer: y = -4/3x - 6
Which sets of values belongs to the domain and range of a relation
full answer:
As we know that
The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.
The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.
As
The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.
The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.
So, in the set of ordered pairs of a relation
Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an additional $0.08 per mile driven. The second plan has an initial fee of $50 and costs and additional $0.10 per mile driven.
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:
[tex]Initial\ Fee = \$57[/tex]
[tex]Additional = \$0.08[/tex] per mile
Plan 2:
[tex]Initial\ Fee = \$50[/tex]
[tex]Additional = \$0.10[/tex] per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:
[tex]y = 57 + 0.08 * x[/tex]
Plan 2:
[tex]y = 50 + 0.10 * x[/tex]
To solve (a), we equate both plans together; i.e.
[tex]y = y[/tex]
[tex]57 + 0.08x = 50 + 0.10x[/tex]
Collect Like Terms
[tex]0.08x - 0.10x= 50 - 57[/tex]
[tex]-0.02x= -2[/tex]
Solve for x
[tex]x = -2/-0.02[/tex]
[tex]x = 100[/tex]
Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.
[tex]y = 57 + 0.08 * x[/tex]
[tex]y = 57 + 0.08 * 100[/tex]
[tex]y = 57 + 8[/tex]
[tex]y = 65[/tex]
Hence, the amount is $65
Please help!!! 40 points and will give brainliest!!
Answer:
the answer would be
Step-by-step explanation:
i hope this helped
If you add all four together, you get a %400 increase
I WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Suppose Triangle MNO has vertices M(-7,3), N(9,8), and 0(2,16). After a dilation centered at the origin, the coordinates of Triangle M'N'O are M'(-10.5, 4.5), N' (13.5, 12), and O' (3,24). Complete the following algebraic description so that it represents the transportation of Triangle MNO, (2, y) + (x, y) The scale factor is
Answer:
The answer is 1.5
Step-by-step explanation:
Answer:
The scale factor is = 1.5
Step-by-step explanation:
Trust me bro
Can someone help me plz
Answer:
6^(7/3)
Step-by-step explanation:
Given 6^2 * cubed_root(6).
The cube root is also equal to 6^1/3
[Multiply the terms, add the powers]
6^2 * 6^(1/3) = 6^(2 + 1/3) = 6^(7/3)
Determine the constant rate of change between x and y in each table?
x
1
5
9
13
Y
-6
-3
0
3
first to answer correctly gets brainleist! I need ya to find the slope for me!
Answer:
m=-1
Step-by-step explanation:
The line is going down as x increases, so the slope is negative. Next, we can find the value for m by taking the equation:
m=(y2-y1)/(x2-x1)
m=(3-(-1))/(0-4)
m=4/-4
m=-1
I NEED HELP can someone find the slope from these equations
Answer:
[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]
1. Which of the following is the equation of a line that has a slope 5 and passes through the point
(3,- 7)?
Answer:
Hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
point (3,-7)
m = 5
Solution
y - y1 = m(x - x1)
y - (-7) = 5(x - 3)
y + 7 = 5x - 15
y = 5x - 15-7
y = 5x-22
Answer
The equation in point-slope form that passes through the point (3,-7)and has a slope of 5 is line Y=5x-22