Answer:
Frank drove 176 miles.
Step-by-step explanation:
Subtract the base fee from the total payment
152.75 - 18.99 = 133.76
divide the remaining amount(price for miles driven) by the cost for each mile
133.76 / .76 = 176
176 miles.
On solving the linear equation in one variable, given that there was a base fee of $18.99, and there was an additional charge of 76 cents for each mile driven, Frank had $152.75 when he returned the truck, the number of miles driven were 176 miles.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable.
Let the number of miles driven be x.
Given in the question,
base fees = $18.99
charge per mile = 76 cents = $0.76
The equation of the total cost becomes :
= base fees + charge per mile * number of miles
= 18.99 + 0.76x
Given the total cost = $152.75
Equating the two values,
= 18.99 + 0.76x = 152.75
= 0.76x = 133.76
= x = 176
Learn more about linear equation here
https://brainly.com/question/32634451
#SPJ2
write the L.C.M of 5,8
From the given question we are asked to find the least common multiple of two given numbers. Here for this question, we will use the prime factorisation method and find the factors for the two given numbers and then we find the least common multiple for the numbers given. So, we proceed with our solution as follows.
Required Answer :-2 | 5, 8
_______
2 | 5, 4
_______
2 | 5, 2
_______
5 | 5, 1
_________
1, 1
2×2×2×5 = 40
Additional information :-We should remember the concept of least common multiple, which means the smallest number that two numbers both can get to or which is the common multiple between two numbers. We should know that we have different method to find the least common multiple like listing the multiples, prime factorization and division
The image shows the linear graph for a family that hired a babysitter for a day. The family gave the
babysitter some money up front to buy herself some lunch, and then paid her a constant hourly rate
for the hours she worked. Click the thumbnail image to see the full size image.
Which 2 of the following statements are TRUE about the EQUATION of this line? Select the TWO
statements that are accurate.
A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
of 20 ounces and a standard deviation of 2.3 ounces. Let Y be the weight of a randomly chosen toco toucan. Which of
the following correctly interprets the value of P(Y < 16)?
Find the Z-table here.
O P(Y< 16) = 0.50. About 50% of all toco toucans weigh less than 16 ounces.
OP(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces.
O P(Y < 16) = 0.959. About 95.9% of all toco toucans weigh less than 16 ounces.
P(Y < 16) = 0.041. About 4.1% of the toco toucans from this group weigh less than 16 ounces.
O P(Y< 16) = 0.959. About 95.9% of the toco toucans from this group weigh less than 16 ounces.
Using the normal distribution, it is found that the correct option is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesIn a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 20 ounces, hence [tex]\mu = 20[/tex].Standard deviation of 2.3 ounces, hence [tex]\sigma = 2.3[/tex]P(Y < 16) is the p-value of Z when X = 16, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 20}{2.3}[/tex]
[tex]Z = -1.74[/tex]
[tex]Z = -1.74[/tex] has a p-value of 0.041.
This is valid for the entire population, hence, the correct interpretation is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesA similar problem is given at https://brainly.com/question/24663213
Examine the system of equations.
y = –3x – 2,
y = 7
The value of x is ______.
The solution to this system of equations is _______.
Answer:
[tex]\boxed{\boxed{\sf x=-3}}[/tex]
Step-by-step explanation:
[tex]\sf y = -3x - 2[/tex]
[tex]\sf y=7[/tex]
We'll substitute y into the equation:
[tex]\sf 7 = -3x - 2[/tex]
Switch sides:
[tex]\sf -3x-2=7[/tex]
Add 2 to both sides
[tex]\sf -3x-2+2=7+2[/tex]
[tex]\sf -3x=9[/tex]
Divide both sides by -3:
[tex]\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}[/tex]
[tex]\sf x=-3[/tex]
Therefore, the value of x/solution is -3
________________________________________
Answer:
The value of x is
✔ –3
The solution to this system of equations is
✔ (–3, 7)
Step-by-step explanation:
A triangular prism and a triangular pyramid have congruent bases and heights. What is the ratio of
the volume of the prism to the volume of the pyramid? Show your work.
Answer:
if a pyramid and a prism have the base and height also their volumes are always in the ratio 1:3
step by step
as the volumes of prism is 108 cubic meters
1/3 x 108 = 36 cubic meters
Cost 500 charge 25 per unit
Answer:
20 units
Step-by-step explanation:
Because it is 25 per unit, and 500, you can do 500/25=20
Logan walked 2 1/2 miles on Monday and she walked
6 miles. How far did she walk on Tuesday?
Answer:
3 1/2 miles
Step-by-step explanation:
because 6 - 2 1/2 = 3 1/2
Line k passes through the point (6, -7) and has a slope m= -1/2.
Which is the equation of a line that is perpendicular to line k and passes through the
point (-4, 9)?
Answer:
y = 2x + 17
Step-by-step explanation:
lmk if you want an explanation
Please helpppp quick
Answer:
x<-4
Step-by-step explanation:
The arrow shows an open circle around -4 meaning it's not equal to -4. And we see the arrow going left, meaning x<-4.
Hope this helps :^)
Answer:
x<-4
Step-by-step explanation:
There is an open circle where -4 is, so the maximum would be -5. There would be no minimum, so you can say that x is less than -4.
2y = - 3x - 6
For the function provided below, you need to solve for slope intercept form, the x intercept and the y intercept. You must show all work for credit.
The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .
What is slope intercept form?The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.
What are intercepts?Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0and a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0
According to the question
The equation : [tex]2y = - 3x - 6[/tex]
The x intercept of the equation :
as a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0 .
Therefore,
at y= 0
[tex]0 = -3x -6[/tex]
[tex]6 = -3x[/tex]
[tex]x = -2[/tex]
So,
x intercept of the equation is (-2,0)
The y intercept of the equation :
As a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Therefore
at x= 0
[tex]2y = -3*0 - 6[/tex]
[tex]2y = -6 \\ y = -3[/tex]
y intercept of the equation is (0,-3)
Now, The slope intercept form of the equation [tex]2y = - 3x - 6[/tex]
As slope intercept form is given as
y = mx + b
We will convert equation to standard slope intercept form
i.e
Dividing equation by 2 both side
[tex]y = -1.5x -3[/tex]
So,
m = -1.5
Hence, The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .
To know more about slope intercept form and intercepts here:
https://brainly.com/question/9682526
#SPJ2
A person requests an immediate bank overdraft of $2000. The
bank generously agrees to this but insists that it should be repaid
by 12 monthly instalments and charges 1% interest every month
on the outstanding debt. Determine the monthly repayment
The monthly repayment for the given principal and rate of interest is $168.3.
Given that, a person requests an immediate bank overdraft of $2000.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Here, P=$2000, T=12 months = 1 year and r=1%
Now, interest = (2000×1×1)/100
= 20
Total amount = 2020
So, monthly instalment = 2020/12
=$168.3
Therefore, the monthly repayment for the given principal and rate of interest is $168.3.
To learn more about the rate of interest visit:
https://brainly.com/question/28236069.
#SPJ5
Okie I need help I don’t understand thank you
Answer:
12
Step-by-step explanation:
8x+4x = 12x
-3+3= 0
12x+0=180
x=180/12
x=15
Which term is defined as the distance from the center of a circle to any point on the circle?
A. Directrix
B. Diameter
C. Circumference
D. Radius
Answer:
radius is the distance from the center of circle to any point of the circle.
Help help help help help math math math
Check the picture below.
Answer:
x=33
Step-by-step explanation:
a service or software application that relies on shared resources over the internet
i need help on this asap pls help??
Answer:
Step-by-step explanation:
Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.
FREE PONITSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiii
In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answer:
60%
Step-by-step explanation:
15 out of 25 is 60%
25 is the total people in the club
Hope this helps
What is the rate unit of running 4 laps in one minute?
0 4
minutes
laps per minute
laps
Answer:
laps per minute
Step-by-step explanation
because it is asking you to find the unit of laps per minute.
A cube has a surface area of 54cm^2 Find the side length, x, of the cube
we know that the area of a cube is its side cubed
So, x^3 = 54(i think it should be 64)
x = 4 (if it is 64)
if it is 54 then we will take the cube root of 54
Answer:
3
Step-by-step explanation:
6a^2=54
a^2=54/6
a=root 9
a=3
is it true that George Washington LOVED political parties?
Answer:
No, It's false.
Step-by-step explanation:
In the long history of the United States, only one president, George Washington, did not represent a political party.
a lab has two bacterial cultures. culture a contains 4 x 10^4 and culture b contains 8x10^6 bacteria. how many times greater is culture b than culture a
A jet travels 1198 miles against the wind in 2 hours and 1438 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the jet wind?
Rate of the jet still in the air: x mi/h
Rate of the wind: x mi/h
Answer: tbh jets arent really a good way to travel man. you better start walking ur lazy butt and get movin.
Step-by-step explanation:
2+2 THIS IS A LIFE OR DEATH QUESTION PLZZ
UMMM I THINK IT'S UH A CARROT, I'M SMART the real answer is 4 though lol
please answer for 30 points
Answer:
(2,-2)
Step-by-step explanation:
but it says fifteen and the answer is the first one
Answer:
I believe its A. im not 100 % im sorry if its wrong
at a community college a survey was taken to determine where students study on campus. Of the 270 students surveyed, it was determined that 177 studied in the library , 142 studied in the cafeteria, 82 studied in both the library and the cafeteria. Of those students surveyed, how many studied only in the library?
Answer:
177
Step-by-step explanation:
Although it says that 82 studied in both, the question is aksing for ONLY at the library. It says that of the 270 surveyed, 177 study at the library.
This means that 65.56% of the students studied at the library primarely.
Answer:
95
Step-by-step explanation:
Use a Venn diagram;
2 places are identified where students may study, the library and the cafeteria so there are 2 circles;
One represents library (L) and the other is cafeteria (C);
82 goes in the overlap since 82 study in both places;
177 study in the library, but this includes the 82 that also study in the cafeteria, so 177 - 82 will give us the number who study only in the library, i.e. 95;
If we wanted to find the number who study only in the cafeteria, it would be similar;
142 study in cafeteria, including the 82 who also study in the library, therefore 142 - 82 will give the number who only study in the cafeteria, i.e. 60;
The number who study in neither the library nor the cafeteria would be the total number of students surveyed (270) take the 82 who study in both places and take the 95 who study only in the library and take the 60 who study only in the cafeteria, which gives 33 (i.e. 270 - 82 - 95 - 60)
Find the discriminant to determine the number of roots, then solve the quadratic equation using the quadratic formula.
2x^2+7x-4=0
[tex]2x^2 + 7x -4=0 \\<=> 2x^2+8x-x-4=0 \\<=>2x(x+4)-(x+4)=0\\<=>(x+4)(2x-1)=0\\<=> x+4=0 /or/ 2x-1=0\\<=>x=-4/or/x=\frac{1}{2}=0.5[/tex]
ok done. Thank to me :>
Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the same amount of sugar for his large feeder, but he added more water to completely fill it. Which mixture was sweeter?
Answer:
Step-by-step explanation:
The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.
are the fractions 4/5 and 8/12 equality
Answer:
NO because 5 doesn't have any factors of 12 but only 4 has a factor of 8. So 4/5 would be greater but no they would not be equal
Step-by-step explanation:
I need help with this please
Answer:
I’m not sure what that means but I think it’s the one with the blue
Step-by-step explanation: