Arlo rented a car, and after accounting for the base price of the rental, it is determined he drove 175 miles
Arlo's total cost for car rental is the base price plus the cost per mile driven. To find out how many miles Arlo drove, we use the equation total cost = base price + (cost per mile imes number of miles). Arlo paid $75.49, which includes the base price of $29.99 and $0.26 per mile.
We first subtract the base price from the total cost to find out how much was spent on the mileage:
$75.49 - $29.99 = $45.50 spent on mileage
Now, we divide the amount spent on mileage by the cost per mile to get the number of miles driven:
$45.50 / $0.26 per mile = 175 miles driven
Arlo drove 175 miles with his rented car.
The student asked how many miles Arlo drove when he rented a car, given that the total cost was $75.49, with an initial fee of $29.99 and an additional charge of $0.26 per mile. To calculate the number of miles driven, we first subtract the initial fee from the total cost:
Total cost - Initial fee = Cost for miles
$75.49 - $29.99 = $45.50
Next, we divide the remaining cost for the miles by the per-mile charge to find the distance driven:
Cost for miles / Charge per mile = Number of miles
$45.50 / $0.26 = 175 miles
Therefore, Arlo drove 175 miles with the car he rented.
Please help me. I desperately need to pass Math T-T
Answer:
60 degrees
Step-by-step explanation:
C = 2(pi)r
The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.
C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm
The length of the arc of the sector is 12.56 cm.
We can find the fraction this length is of the full circumference.
(12.56 cm)/(75.36 cm) = 1/6
The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.
That means the angle of the sector is 1/6 the angle of an entire circle.
An entire circle has a central angle of 360 degrees.
1/6 * 360 degrees = 60 degrees
Find the area of the Diameter 5 minutes
Answer:
A= 19,63 units.
Step-by-step explanation:
The area of a circle is given by π r^2. Where "r" represents de radius.
In this case we know that de diameter is 5 units. Given that the radius is half of the diameter, then r=5/2 = 2.5 units.
Then the area of a circle is:
A= π r^2 = π (2.5 units)^2 = 19,63 units.
Jana has to solve a system of equations that contains an exponential function and a linear function. She decides to solve graphically and the graph she obtained is shown.
Is the complete solution shown? Why or why not?
A) Yes, since one of the equations is linear the two functions can only intersect once and the intersection point is shown.
B) Yes, since the slope of the line is not as great as the rate of change of the exponential the y-values will be greater and they will only intersect one time.
C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
D) No, even though the line has a smaller rate of change initially than the exponential, eventually the exponential will have to have a smaller rate of change than the linear since they are the fastest growing functions. Given that there must be at least one more intersection point somewhere near y = -1.
Answer:
If this is USATestPrep the answer is C
Step-by-step explanation:
Answer:
Option C is right.
Step-by-step explanation:
Jana has to solve a system of equations that contains an exponential function and a linear function.
C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
Exponential will eventually exceed all other functions as they are the fastest growing functions.
Determine the ordered pair that satisfies the equation, 7x-1y=8
The ordered pairs that satisfy the equation 7x - y = 8 include (1,-1) and (9/7, 1).
Explanation:To find an ordered pair that satisfies the equation 7x - y = 8, we can choose a value for either x or y and then solve the equation for the other variable. For example, if we choose x = 1, we substitute this into the equation to find the corresponding y value: 7(1) - y = 8 which simplifies to y = -1. Thus, the ordered pair (1, -1) is a solution to the equation. Another solution could be found by choosing y = 1 and solving the equation for x: 7x - 1 = 8, which gives x = 9/7. Thus, the ordered pair (9/7,1) is also a solution to the equation.
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To determine the ordered pair that satisfies the equation, rearrange the equation to solve for y. Plug in different values for x to find corresponding values for y.
Explanation:To determine the ordered pair that satisfies the equation 7x-1y=8, we need to solve for y.
Rearranging the equation, we get y=7x-8. This equation represents a linear relationship, where the value of y depends on the value of x.
By plugging in different values for x, we can find corresponding values for y.
For example, when x=0, y=(-8).
So the ordered pair that satisfies the equation is (0, -8).
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Given: circle k(O)
m∠OFQ = 52°, m FQ = (5x+1)
Find: x
Answer:
x=15°
Step-by-step explanation:
step 1
Find the measure of arc QD
we know that
The inscribed angle is half that of the arc it comprises.
so
m∠OFQ=(1/2)[arc QD]
substitute the given value
52°=(1/2)[arc QD]
104°=[arc QD]
arc QD=104°
step 2
Find the value of x
Remember that the diameter divide the circle into two equal parts
so
arc FQ+arc QD=180°
we have
arc QD=104°
arc FQ=(5x+1)°
substitute
(5x+1)°+104°=180°
5x=180°-105°
x=15°
Heeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
C &A
Step-by-step explanation:
Just by analyzing the problem you can match up the answers
Solve the problem in your head and the closest answer to that is the answer
Answer:
B and D are equivalent to -3.75+2(-4x+6.1)-3.25x
Step-by-step explanation:
The initial equation is -11.25x+8.45
A is equivalent to 5x+8.1
B is equivalent to 8.45-11.25x
C is equivalent to -7.25x+4.35
D is equivalent to -11.25x+8.45
Hope this helps! Please mark as brainliest!! <3
The second one please
I think it's 27 but I may be wrong.
yeah 27 because you do the butterfly method. you multiply 63 and 12 you get 756 then you divide 756 by 28 and you get 27
Answer:
x = 27
Step-by-step explanation:
let the donominatir be x
28/63 = 12/x
28x = 756
x = 756/28
x = 27
-TheUnknownScientist
400 degree F is what in Centigrade
Answer:
400° F = 204.4° C
Step-by-step explanation:
We are given a temperature 400 degree in Fahrenheit and we are to convert in into a unit called Centigrade (also known as Celsius).
We know that 0 degree Centigrade is equal to 32 Fahrenheit so we will use the following formula to convert these units:
(32°F − 32) × 5/9 = 0°C
(400°F − 32) × 5/9 = 204.4° C
Final answer:
To convert 400 degrees Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.
Explanation:
To convert a temperature from Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. To convert 400 degrees Fahrenheit to Celsius, you can substitute the value of F as 400 in the formula: C = (400 - 32) * 5/9 = 204.4. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.
Please Help , Is It A,B,C Or D
Answer:
Im Gonna Have to Say B
Step-by-step explanation:
My question is what is 10 + 54 over -6
Answer:
-11
Step-by-step explanation:
64\-6= -10.667 Hope this helps
solve this equation for X:
0.5(5-7X)= 8- (4X+ 6)
Answer:
-1
Step-by-step explanation:
0.5(5-7X) = 8 - (4X+6)
Expand the L.H.S by multiplying it by 0.5 and expand the bracket on the R.H.S by multiplying with -1
2.5 - 3.5X = 8 - 4X -6
Collect like terms
-3.5X + 4X = 8 - 6 - 2.5
0.5X = -0.5
Divide both sides by 0.5
X = -1
The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 14 mph and the Mystic travels at 18 mph. How far apart will they be in 3 hours?
what you do is you take one of them and multiply their speed by however many hours
in this case
[tex]14 \times 3[/tex]
[tex]18 \times 3[/tex]
then add the product giving you the distance apart
Final answer:
The Serenity and The Mystic will be 96 miles apart after traveling in opposite directions for 3 hours with speeds of 14 mph and 18 mph, respectively.
Explanation:
The question involves calculating the distance between two moving objects, specifically sailboats, traveling in opposite directions. To find out how far apart they will be after a certain time, we use the concept of relative speed.
If The Serenity travels at 14 mph and The Mystic travels at 18 mph, their speeds add up when moving away from each other. Hence, the combined speed at which they are separating is:
(14 mph + 18 mph) = 32 mph.
To find out how far they will be apart in 3 hours:
Distance = Speed × Time
Therefore, Distance = 32 mph × 3 hours = 96 miles.
So, after 3 hours, The Serenity and The Mystic will be 96 miles apart.
14. What is the value of 3A + 6|C|?
A. 27
B. –63
C. 9
D. 63
Answer:
C
Step-by-step explanation:
Given 3A + 6|C|
Finding 3A where A=-9⇒-9×3= -27
Finding 6|C| where |C| is absolute value for |-6 |
6|C|= |6×-6| =36
Hence 3A + 6|C| = -27 +36 =9
Which ordered pair is not a solution of y=-12x-3?
A) (-3,33)
B) (8,-98)
C) (-9,105)
D) (3,-39)
Answer:
B. (8,-98
Step-by-step explanation:
because : x=8.....y=-12(8)-3 =-99
2x + y = 3 x - 2y = -1 If equation two is multiplied by -2 and then the equations are added, the result is _____. -3y = 3 3y = 5 5y = 5
Answer:
5y=5
Step-by-step explanation:
Given equations
2x + y = 3 (i)
x - 2y = -1 (ii)
Multiplying equation (ii) by -2
Both sides of equation will be multiplies by -2.
-2(x-2y)= -2(-1)
The new equation will be
-2x+4y=2 => (iii)
Adding equation (iii) with equation (i), adding respective sides of both equations
(2x+y)+(-2x+4y)=3+2
2x+y-2x+4y=5
5y=5
So, after multiplying equation (ii) by -2 and then adding it to the first equation will give 5y=5
Answer:
[tex]5y=5[/tex]
Step-by-step explanation:
[tex]2x + y = 3[/tex]
[tex]x - 2y = -1[/tex]
If equation two is multiplied by -2, then the equation becomes
[tex]x - 2y = -1[/tex] times -2 becomes
[tex]-2x + 4y = +2[/tex]
Now we add both equations
[tex]2x + y = 3[/tex]
[tex]-2x + 4y = +2[/tex]
----------------------------------
[tex]0 + 5y = 5[/tex]
[tex]5y=5[/tex]
The value of which of these expressions is closest to e ?
A. (1 + 1/14)^14
B. (1 + 1/12) ^12
C. (1 + 1/13)^13
D. (1 + 1/11) ^11
Answer:
It's A, Apex confirmed
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
In Amy’s backyard, there are also chickens and rabbits. There are 5 more chickens than rabbits. The total number of legs is 130. How many rabbits and how many chickens?
Answer:
There are 25 chickens and 20 rabbits
Step-by-step explanation:
Let
x-----> the number of chickens
y ----> the number of rabbits
Remember that
1 chicken has two legs
1 rabbit has four legs
so
2x+4y=130 -------> equation A
x=y+5 -----> equation B
Substitute equation B in equation A and solve for y
2(y+5)+4y=130
2y+10+4y=130
6y=120
y=20 rabbits
Find the value of x
x=y+5
x=20+5=25 chickens
Answer:
20 rabbits . 25 chickens
Step-by-step explanation:
I know where u got them from
which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x
None of these. All of these functions are defined as ratio of trigonometric functions.
Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.
Specifically, we have:
[tex]\csc(x) = \dfrac{1}{\sin(x)}[/tex]
which is undefined at
[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]
[tex]\sec(x) = \dfrac{1}{\cos(x)}[/tex]
which is undefined at
[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]
[tex]\tan(x) = \dfrac{\sin(x)}{\cos(x)}[/tex]
which is undefined at
[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]
[tex]\cot(x) = \dfrac{\cos(x)}{\sin(x)}[/tex]
which is undefined at
[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]
John deposited $80 in a savings account earning 5% interest, compounded annually. To the nearest whole dollar, how much interest will he earn in 3 years?
Answer:
The interest is equal to [tex]\$13[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=3\ years\\ P=\$80\\ r=0.05\\n=1[/tex]
substitute in the formula above
[tex]A=\$80(1+\frac{0.05}{1})^{3}=\$92.61[/tex]
Find the interest
[tex]I=A-P=\$92.61-\$80=\$12.61[/tex]
Round to the nearest whole dollar
[tex]\$12.61=\$13[/tex]
How do you find the area of a circle by it's circumference and the circumference of a circle by it's area
20 points PLZZZ answer
Answer
A = C2 / (4 π) for the first question. C = 2*π*square root of (A/π). for the second question.
Step-by-step explanation:
The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r.
If we "solve for r" in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.
When we simplify this, we get A = C2 / (4 π).
Now you can put your value of C into this equation and find A.
To find the area of a circle from its circumference, first find the radius using the circumference and then compute area. To find the circumference from the area, derive the radius from the area and then calculate the circumference.
Explanation:Finding the Area of a Circle from its CircumferenceTo find the area of a circle using its circumference, you first need to find the radius of the circle. The formula to find the radius from the circumference is r = C/(2π), where C is the circumference of the circle, r is the radius, and π is Pi, approximately 3.14159265. After finding the radius, use the formula for the area of a circle, A = πr², where A is the area.
Finding the Circumference of a Circle from its AreaCircumference of a circle can also be determined from its area. The radius can be found using the formula, r = sqrt(A/π), where A is the area of the circle. Once the radius is known, you can find the circumference by the formula, C = 2πr.
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Find the slope of the straight line that passes through (–2, –4) and (3, –5)
Hello there!
The slope is -1/5.
To find the slope, subtract the y values over the x values.
- 5 - - 4 / 3 - - 2 - Since subtracting a negative is the same as adding a positive, you can rewrite the equation like this: - 5 + 4 / 3 + 2.
You are left with -1/5, this cannot be simplified so this is your final answer. I hope this helps and have a great day! :)
For this case we have that by definition, the slope of a line is given by:[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Only two points are needed through which the line passes.
Where:
[tex](x_ {1}, y_ {1}): (- 2, -4)\\(x_ {2}, y_ {2}) :( 3, -5)[/tex]
Substituting:
[tex]m = \frac {-5 - (- 4)} {3 - (- 2)}\\m = \frac {-5 + 4} {3 + 2}\\m = \frac {-1} {5}\\m = - \frac {1} {5}[/tex]
Answer:
[tex]m=-\frac{1}{5}[/tex]
A square sandbox in Trisha's backyard has an area of 81 square feet. Find x, the diagonal length of the sandbox.
9 × 9 would be the answer or just 9. Since 9 × 9 = 81. So, I believe you could put 9 if there is only one x spot but if there is 2 you can put 9 × 9. Hope this helps! c:
Answer:
12.7 feet
Step-by-step explanation:
no <3
A turkey costs $12.75. You have 10$. How many much more do you need ?
Answer:
$2.75
Step-by-step explanation:
I hope this helps you
You need an additional $2.75 to purchase the turkey. In the bat and ball problem, the ball costs $0.05 and the bat costs $1.05.
To determine how much more money is needed to purchase the turkey, you need to subtract the amount of money you have from the cost of the turkey. Since the turkey costs $12.75 and you have $10, you simply calculate $12.75 - $10.00 which equals $2.75. Therefore, you need an additional $2.75 to buy the turkey.
Let's now look at a similar problem. If a bat and ball cost $1.10 in total and the bat costs $1.00 more than the ball, we can set up the equation to find the price of the ball. Let x be the cost of the ball in dollars. Then the bat would cost x + $1.00. Since together they cost $1.10, the equation would be:
x + (x + $1.00) = $1.10.
Solving for x gives:
2x + $1.00 = $1.10
2x = $1.10 - $1.00
2x = $0.10
x = $0.10 / 2
x = $0.05.
So, the ball costs $0.05 and the bat costs $1.05, which is $1.00 more than the ball.
Bret has a fish tank that holds 320 liquid ounces of water. On average, the water evaporates from the tank at a rate of 3.84 ounces per day. Bret went on vacation for 2 weeks, and asked a friend to feed his fish. The fish tank was full of water when Bret left. To the nearest hundredth, how many liquid ounces of water were left in the tank when Bret returned from his vacation?
Answer:
266.24
Step-by-step explanation:
y=320-3.84d
d represents number of days
320-3.84(14)
=320-53.76
=266.24
Answer:
266.24 ounces
Step-by-step explanation:
2 weeks = 7 x 2 = 14 days
Initial Amount = 320 ounce
Rate = 3.84 ounces/day
Amount of water left
= 320 - 3.84(14)
= 266.24 ounces
Which equation represents a proportional relationship? A) y = 3x 4 B) y = 3 4x C) y = 3x 4 + 1 D) y = 3 4x + 1
Answer:
A. y = 3x/4
Step-by-step explanation:
a proportional relationship between x and y is a straight line passing through the origin (0, 0).
The equation must be in the form y = kx.
y = 3x/4
y = 3/4x
Answer:
y=3x/4
Step-by-step explanation:
Omari is dividing 5 by 6. If he continues the process, what will keep repeating in the quotient?
Answer:
0.833333333333
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Dividing 5 by 6 not possible, add zero to to 5 to make it 50
so your quotient becomes 0. 8, you then multiply 8 by 6, it gives 48, you subtract 48 from 50, then you get 2 add zero at th back of 2, to make it 20.
Divide 20 by 6 again, then you will get 3, your quotient becomes 0.83, multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2, add 0 at the back of 2 to make it 20.
Divide 20 by 6, you will get 3, your quotient becomes 0.833. Multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2.
Add zero add the back of 2 to make it 20 and repeat the process.
You will keep getting 3
Does anyone know the answer??
Answer:
C
Step-by-step explanation:
Use the Pythagorean Theorem.
[tex]a^2+b^2=c^2 \\ \\ 100^2+b^2=125^2 \\ \\ 10000+b^2=15625 \\ \\ b^2=5625 \\ \\ b=\sqrt{5625} \\ \\ b=75[/tex]
These prisms are similar. Find the surface area of the larger prism in decimal form.
Answer:
176.4
Step-by-step explanation:
1.) 7/5 = surface area/90 = (7/5)^2 = 49/25
2.) sa/90 = 49/25
3.) 4,410/25a
Surface area is 176.4
Answer:
176.4
Step-by-step explanation:
please try to make the answer short if you can! && it’s worth ten points!
Answer:
A: 105 degree turn
Step-by-step explanation: If you were going east the it would be 75 except for the fact that since you are going west it would be supplementary
Help me please asappp!!!!
ANSWER
When x=1, [tex]y =2{x}^{2} [/tex] is 2
and [tex]y = {2}^{x} [/tex] is 2
When x=2, [tex]y =2{x}^{2} [/tex] is 8
and [tex]y = {2}^{x} [/tex] is 4
EXPLANATION
The given functions are:
[tex]y =2{x}^{2} [/tex]
and
[tex]y = {2}^{x} [/tex]
We want to find the functional values for the given x-values.
When x=1,
[tex]y = 2( {1})^{2} = 2[/tex]
and
[tex]y = {2}^{1} = 2[/tex]
When x=2,
The first function gives us:
[tex]y = 2 {(2)}^{2} = 8[/tex]
and the second function gives
[tex]y = {2}^{2} = 4[/tex]
Answer:
For the function [tex]y=2x^2[/tex]:
[tex]y=0\\y=2\\y=8[/tex]
For the second function [tex]y=2^x[/tex]:
[tex]y=1\\y=2\\y=4[/tex]
Step-by-step explanation:
You only need to make the following substitution:
For the first function [tex]y=2x^2[/tex]:
When [tex]x=0[/tex]
[tex]y=2x^2\\ y=2(0)^2\\ y=0[/tex]
When [tex]x=1[/tex]
[tex]y=2(1)^2\\ y=2(1)^2\\ y=2[/tex]
When [tex]x=2[/tex]
[tex]y=2x^2\\ y=2(2)^2\\ y=2*4\\ y=8[/tex]
For the second function [tex]y=2^x[/tex]:
When [tex]x=0[/tex]
[tex]y=2^x\\ y=2^0\\ y=1[/tex]
When [tex]x=1[/tex]
[tex]y=2^x\\ y=2^1\\ y=2[/tex]
When [tex]x=2[/tex]
[tex]y=2^x\\y=2^2\\ y=2^2\\ y=4[/tex]