Answer:
The hourly rate is better between 1 and 8 hours.
Step-by-step explanation:
There are two options
A fixed amount of $1560.
Or an hourly rate of $180 the hour.
So for the first option, the cost equation as a function of time, t, is:
f(t) = $1560
(it does not depend on t)
While for the second option, the equation would be:
g(t) = $180*t
First, we want to answer:
We can expect that for smaller values of t the second option is better but let's see that:
or what lengths of time would the hourly rate be less expensive?
Then we need to solve:
f(t) = g(t)
for t, this is:
$1560 = $180*t
$1560/$180 = t = 8.66
So, for t = 8.66, the cost is the same in both options.
For t < 8.66
(between 1 and 8 hours) the second option is better. (here the hourly rate is better)
for t > 8.66
(9 hours or more) is better the first option, as the hourly (here the flat fee is better)
the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)
Answer:
$469.80
Step-by-step explanation:
First, let's find out how many fees would be paid exclusively for renting it out for 14 days.
29.00 * 14 = $406
They have to pay 406 dollars just for having the car for 14 days.
Now let's find out how much will need to paid for driving for 320 km.
We can first take away 100 km because the fee only starts afterwards.
320 - 100 = 220
220 * 0.29 = 63.8
63.80 + 406 = 469.80
Make t the subject of this formula.
r = 7 (t + 3)
Answer:
t= r-21
7
Step-by-step explanation:
r = 7(t+3)
expanding the bracket
r = 7t + 21
bringing t to the left hand side
7t = r - 21
divide both sides by seven
t= r-21
7
Answer:
t = (r/7) - 3
Step-by-step explanation:
Given equation,
→ r = 7(t + 3)
Now the value of t will be,
→ r = 7(t + 3)
→ r = 7t + 21
→ r - 21 = 7t
→ 7t = r - 21
→ t = (r - 21)/7
→ t = (r/7) - 3
Hence, value of t is (r/7) - 3.
help asap please thanks
-pi/4 is the same thing as 7pi/4.
The sine function will get us the y-value we need.
Keep in mind that our y-value will be negative (based on the position of the line), and pi/4 and 3pi/4 will both have positive y-values.
Therefore, the correct expression is sin(7pi/4).
Hope this helps!! :)
A candy store owner has 8.32 pounds of jelly beans. If
she puts the jelly beans into 8 jars, how much candy
will go in each jar?
Answer:
1.04 lbs
Step-by-step explanation:
8.32 lbs / 8 jars=
1.04 lbs per jar
An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)
Answer:
Step-by-step explanation:
This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.
x + 1 = 0 so
x = -1
x - 9 = 0 so
x = 9
We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).
What is the Order of Magnitude of the number of pennies equivalent to a quarter?
Answer:
It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4
HELP ASAP PLEASE!! :]
Answer:
36 sq units
Step-by-step explanation:
the area of shaded part =
(½×12×12) - (6×6)
= 72-36
= 36 sq units
I ONLY NEED HELP ON THE FIRST QUESTION SHOWN
No Docs/No Files only real answer
5-star rated and I will give a brainliest
Answer:
question a is technically 7.5 and question b is 7.5
Step-by-step explanation:
half half
Which conjunction about whole numbers is true?
The sum of two non-zero even numbers is even and less than the addends.
The sum of two non-zero even numbers is even and greater than the addends.
The difference of two non-zero even numbers is odd and less than the larger number.
The difference of two non-zero even numbers is odd and greater than the larger number.
Answer:
The sum of two non-zero even numbers is even and greater than the addends
Step-by-step explanation:
The solution to the whole number equation is sum of two non-zero even numbers is even and greater than the addends
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first number be p
Let the second number be q
Now , the values of p and q are even
So , when p = 2 and q = 4
The sum of two non-zero even numbers is even and greater than the addends
p + q > q be equation (1)
p + q > p be equation (2)
2 + 4 > 4
2 + 4 > 2
6 > 4 and 6 > 2
Hence , the equation is true and sum of two non-zero even numbers is even and greater than the addends
To learn more about equations click :
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HELP! What is the solution to the linear system? (Picture included)
Answer:
(15,9)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The intersect at x=15 and y =9
(15,9)
What is the value of x in the equation 6 +4x = 7
Answer:
x = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
6 + 4x = 7 ( subtract 6 from both sides )
4x = 1 ( divide both sides by 4 )
x = [tex]\frac{1}{4}[/tex]
Answer:
x = 1/4
Step-by-step explanation:
6 +4x = 7
collect terms
4x = 7 - 6
4x = 1
Divide both sides by 4
x = 1/4
Bye ! :-)
PLEASE HELP ASAP - ILL GIVE BRAINLEST
GIVE THE WORK FOR IT TP PELASEE!! and 20 points
Answer:
Step-by-step explanation:
Hope this helps u !!
What is the probability of a student liking music given they already like art?
Using it's concept, the probability that a student liking music given they already like art is of 10/17 = 0.5882 = 58.82%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, from the Venn Diagram, there are 17 students who like art, and of those, 10 like music, hence the probability is given by:
10/17 = 0.5882 = 58.82%.
More can be learned about probabilities at https://brainly.com/question/14398287
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Can someone help me? It's urgent and thank you!
Answer:
its c trust me. ive seen some stuff like this before
An internet company charges its customers in the following way. The internet is free for the first five hours each month and then is charged at a rate of 10 cents per hour. a) Derive a formula for calculating the cost, $C, of h hours of internet use. b) Use your formula to calculate the monthly cost of 55 hours of internet use.
Answer:
$500
Step-by-step explanation:
f(x) = 0 + 10h
f(x) = $C
$C = 0 + 10(50)
55-5 = 50
$C = 10(50)
$C = $500
we want to factor the following expression (x-3)^2-10(x-3)+25 which pattern can we use to factor the expression
Answer:
This question is asking for the pattern , not the factoring of it...
this is the [tex](a+b)^{2} pattern = a^{2} + 2ab + b^{2}[/tex]
Step-by-step explanation:
Answer:
(x - 8)²
Step-by-step explanation:
This is in the form of a perfect square, that is
(x + b)² = x² + 2bx + b²
with x = x - 3 and by comparison of like terms
2b = - 10 ⇒ b = - 5
Then
(x + b)²
= (x - 3 - 5)²
= (x - 8)² ← in factored form
WILL MAKE THE CORRECT ANSWER BRAINLIEST!!!
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
As y increases by 2, x increases by 3, so 2/3. The y - intercept is 1 and 1/3 so plus 1 1/3
Find the area of this circle. Use 3 for pi
Step-by-step explanation:
given pi value= 3
radius=7
we know,
area of a circle(A)= πr²
= 3×7²
=147cm²
Answer:
A = 147 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify
r = 7 cm
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = 3(7 cm)²Evaluate exponents: A = 3(49 cm²)Multiply: A = 147 cm²which value of x is in the domain of f (x) =v x-7?
Answer:
The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \sqrt{x - 7}[/tex]
Domain of the square root function:
The square root does not exist for negative values, so the domain of a square root function:
[tex]g(x) = \sqrt{h(x)}[/tex]
Is [tex]h(x) \geq 0[/tex]
In this question:
[tex]f(x) = \sqrt{x - 7}[/tex]
Then:
[tex]h(x) = x - 7[/tex]
[tex]x - 7 \geq 0[/tex]
[tex]x \geq 7[/tex]
The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]
Answer:
the answer is 8 and x>or equal 7 and the only option greater than 7 is 8
Step-by-step explanation:
How many miles is her road trip
Answer:
(B). 265 miles
Step-by-step explanation:
She travelled 75 mph for 3 hours and 40 mph for 1 hour.
Therefore, 75 + 75 + 75 + 40 = 265 miles
If this helps you, please mark brainliest!
Determine the area of the blue triangle below. Round your answer to
the nearest tenth.
Answer:
68.9 in^2
Step-by-step explanation:
first lets find the height of the blue triangle
hypotenuse = 15 in
one side is 12 in whereas other has to be find.
take 50 degree as reference angle
using sin rule
sin 50 = opposite/hypotenuse
0.76 = opposite/15
0.766*15 = opposite
11.49 = opposite
area of triangle = base*height/2
=12*11.49/2
=136.88/2
=68.94
=68.9 in^2
Answer:
A = 68.9 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] ab sinC ( a, b are 2 sides and C the angle between them )
Here a = 12, b = 15 and C = 50° , then
A = [tex]\frac{1}{2}[/tex] × 12 × 15 × sin50°
= 6 × 15 × sin50°
= 90 × sin50° ≈ 68.9 in² ( to the nearest tenth )
A man has twin sons of equal height. The combined
height of the man and one son is 180cm. The
combined height of the man and both sons is
252cm. Twice the man's height added to the height
of one son would be
Answer:
son weight = 72
Step-by-step explanation:
D + S = 180
D + 2S = 252
S=252-180
S = 72
D= 108
Which of the following is a quadratic function?
Answer:
A
Step-by-step explanation:
A
when multiplied out
the highest exponent of x is 2
y = 2x² + x - 6
Answer:
option A
Step-by-step explanation:
A quadratic equation is a single variable polynomial of degree 2.
[tex]A ) y = ( x + 2)(2x-3) = 2x^2 -3x +4x - 6 =2x^2 + x - 6 \ - Yes \\\\B) y = 3(x - 4) \ - No\\\\C) y = \frac{1}{x^2} \ - No\\\\D) y = x(x-4)(x+3) = x(x^2 -x - 12) = x^3 -x^2 - 12x \ - No[/tex]
A square has the same area as a rectangle with side of length 9 cm and 16 cm .What is the length of one side of the square ?
Answer:
12cm
Step-by-step explanation:
Area of square = Area of rectangle
Area of square = length x breadth
Area of square = 9 x 16 = 144(cm)^2
(side)^2 = 144
side = √144
side = 12cm
12cm
Step-by-step explanation:
area of square=area of rectangle
s^2=L*W
area of rectangle=length * width
area of rectangle=9cm*16cm=144cm^2
s^2 =144cm^2
s=12 cm
Lines A and B are parallel
A
1
2
50° 4
B
5 6
8
mZ2 = [?]°
i need help lol
thanks and bye
Answer: I think a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Find the values of q, w, and y in this diagram
Plz help I need this fast
Answer:
[tex]{ \tt{q = 60 \degree}} \\ \\ { \tt{w = 180 - 60 = 120 \degree}} \\ \\ { \tt{y = 180 - 60 - 70 = 50 \degree}}[/tex]
Can someone explain how to do this?
Answer:
x = 32°
Step-by-step explanation:
The two angles form a straight line, so therefore they are supplementary.
The sum of supplementary angles always equal 180°, so we know that:
(3x - 4) + (3x - 8) = 180°
Now you have the equation, solve for x.
3x - 4 + 3x - 8 = 180°
6x - 12 = 180°
6x = 192°
x = 32°
Answer:
3x-4+3x-8=180
3x+3x=180+4+8
6x=192
x=32
check: 3(32)-4+3(32)-8=180
There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 5/12. There are 40 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be
Answer: the total number of milk chocolate is 6
Step-by-step explanation: