Answer:
Therefore, the car uses gas at a rate of 21 miles per gallon.
Step-by-step explanation:
If Violet's car used 5/6 of a gallon to travel 17 1/2 miles, we can find the rate at which the car uses gas (in miles per gallon) by dividing the distance traveled by the amount of gas used.
To do this, we need to convert the mixed number 17 1/2 to an improper fraction:
17 1/2 = 35/2
So, the rate at which the car uses gas is:
(35/2) miles ÷ (5/6) gallons
To divide by a fraction, we can multiply by its reciprocal:
(35/2) miles ÷ (5/6) gallons = (35/2) miles x (6/5) gallons
Simplifying, we get:
(35/2) x (6/5) = (35 x 6)/(2 x 5) = 210/10 = 21
Therefore, the car uses gas at a rate of 21 miles per gallon.
Directions: Simplify the following expressions. Refer to the rules for signed numbers in solving these problems.
Example: - 4 + 5 = +1 (the signs are different, take the difference (subtract) and place the sign of the larger number)
1. + 2 - (+3) =
2. + 11 + (-10) =
3. 3 + (-5 ) =
4. + 22 - 21 =
5. - 8 - (-44) =
6. -12 - (-6 ) + 3 =
7. + 16 -(-12) =
8. - 36 - (-36) =
9. -4 * 10 =
10. -1 * -1 =
11. + 7 * - 7 =
12. -4 / 4 =
13. -7 * -5 =
14. -10 * + 8 =
15. -2 * - 7 =
1. -1
2. 1
3. -2
4. 1
5. 36
6. -3
7. 28
8. 0
9. -40
10. 1
11. -49
12. -4
13. 35
14. -80
15. 14
Hope that helps!
(Surface Area of Cylinders MC)
Determine the exact surface area of the cylinder in terms of π.
cylinder with radius labeled 1 and one fourth centimeters and a height labeled 3 and three fourths centimeters
39 and one fourth times pi square centimeters
14 and one sixteenth times pi square centimeters
12 and one half times pi square centimeters
10 and 15 sixteenths times pi square centimeters
The surface area of a cylinder can be found by adding the areas of the top and bottom circles, as well as the area of the side (lateral) surface.
The radius of the cylinder is 1 and one fourth centimeters, which can be written as 5/4 cm. The height of the cylinder is 3 and three fourths centimeters, which can be written as 15/4 cm.
The area of each circle is πr^2, where r is the radius. So, the area of the top and bottom circles is:
2π(5/4)^2 = 25/2 π square centimeters
The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height. So, the lateral surface area of the cylinder is:
2π(5/4)(15/4) = 75/2 π square centimeters
Therefore, the total surface area of the cylinder is:
25/2 π + 75/2 π = 100/2 π = 50 π square centimeters
So, the exact surface area of the cylinder in terms of π is 50π square centimeters. None of the given options matches this answer.
The table lists recommended amounts of food to order for 25 party guests. Nathan and Amanda are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these "drop-in" guests as half a guest. How much of each food item should Nathan and Amanda order for a graduation party with 45 drop-in guests?
Fried Chicken
28 pieces
Deli Meats
4 and one third
pounds
Lasagna
10 and three fourths
pounds
Answer:
deli meats or lasagna
Step-by-step explanation:
please please pleaseeee help I beg you ill give 25 points please
Answer:nonlinear i think
Step-by-step explanation:
Pls answer quick : Arwind walked 1/2 of a mile to the grocery store and then 4/6 of a mile to the bank, How can he write 1/2 and 4/6 as a pair of fractions with a common denominator?
Answer:
He can multiply 1/2 by 3/3 which makes it 3/6 so now 4/6 and 3/6 have common denominators.
16.
(07.07 LC)
A cheetah runs at a speed of 50 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t? (1 point)
t = 50d
d = 50 + t
d = 50t
t = 50 + d
I am to believe it's d = 50t
hope that helps
Need answer asap pls and ty, will give brainly if it's right
Answer:
There isn’t any attachment of any sort. I apologize but if you reupload I can help you.
Step-by-step explanation:
hgelp i cant do math whoops oopsie sooo silly
Answer:
Step-by-step explanation:
f
Answer:
here is your answer:
mark me as brainlieast pls this took me forever.
Multiple choice question. Due in 5 hours.
Answer: A
Step-by-step explanation:
cakes = x pies = y
total number of cakes and pies sold: 75
so x + y = 75
Total money earned: $340
so $4 of x amount cakes + $5 of pies sold =$340
So,
x + y = 75
4x + 5y = 340
50 POINTS ASAP!!!!
A group of students was asked about the number of flights they have taken. The data is shown in the line plot.
A line plot titled Flights Taken. The horizontal line begins at 3, with each unit marked up to 14. There is one dot above 6, 9, 10, and 11. There are two dots above 5, 7, and 8.
Which of the following best describes the spread of the data? Explain its meaning in this situation.
The data has a range of 11, which is a wide spread. This means that one student had 11 fewer flights than the students with the most number recorded.
The data has a range of 6, which is a narrow spread. This means that there is not a large difference in the number of flights taken by the students.
The data has a range of 11, which is a narrow spread. This means that there is about the same number of flights taken by each of the students.
The data has a range of 6, which is a wide spread. This means that there is a difference of 6 flights between each of the students.
The data has a range of 11, which is a wide spread. This means that there is a large difference in the number of flights taken by the students, with one student having taken 11 more flights than the student who took the least number of flights recorded. In this situation, the spread of the data indicates that some students have taken significantly more flights than others.
The data has a range of 6, which is a wide spread. This means that there is a difference of 6 flights between each of the students.
How to obtain the range of a data-set?The difference between the highest and lowest values in a data collection indicates the range of that data set.
The dot plot displays the frequency of each amount observed, so:
The lowest number is of 5.
The highest number if of 11.
Then. the range is
=11 - 5
= 6.
Learn more about range of a data-set here: brainly.com/question/24326172
#SPJ2
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 31.
Homework Grade (x) Test Grade (y)
58 52
75 66
66 68
85 74
52 38
74 65
78 76
The linear regression equation that represents this set of data is given as follows:
y = 1.05x - 10.43.
The estimated homework grade for a student with a test grade of 31 is given as follows:
39.46.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points for this problem are given as follows:
(58, 52), (75, 66), (66, 68), (85, 74), (53, 38), (74, 65), (78, 76).
Inserting these points into a calculator, the equation is given as follows:
y = 1.05x - 10.43.
The estimated homework grade for a student with a test grade of 31 is x when y = 31, hence:
31 = 1.05x - 10.43
x = 41.43/1.05
x = 39.46.
More can be learned about linear regression at https://brainly.com/question/29613968
#SPJ1
ILL GIVE BRAINLIEST AND 50 POINTS TO CORRECT ANSWER
x = a + b + 4
a ∝ y^2, b ∝ 1/y when x = 18, y = 2 and when x = -3, y = 1 then find x when y = 4.
TYVM!!
Answer:
81
Step-by-step explanation:
Given the relationships \(a \propto y^2\) and \(b \propto \frac{1}{y}\), let's solve for the proportionality constants and then use them to find \(x\) when \(y = 4\).
From the given values:
1. When \(x = 18\) and \(y = 2\), we have \(a + b + 4 = 18\).
2. When \(x = -3\) and \(y = 1\), we have \(a + b + 4 = -3\).
We can set up two equations using the given proportionalities and the given values:
Equation 1: \(a = ky^2\)
Equation 2: \(b = \frac{c}{y}\)
Substituting these into the first given condition:
\(ky^2 + \frac{c}{y} + 4 = 18\)
Substituting these into the second given condition:
\(ky^2 + \frac{c}{y} + 4 = -3\)
Solving these two equations will allow us to find the constants \(k\) and \(c\), and then we can use them to find \(x\) when \(y = 4\).
Let's solve the equations:
From the first equation:
\(k(2^2) + \frac{c}{2} + 4 = 18\)
\(4k + \frac{c}{2} + 4 = 18\)
\(4k + \frac{c}{2} = 14\)
From the second equation:
\(k(1^2) + \frac{c}{1} + 4 = -3\)
\(k + c + 4 = -3\)
\(k + c = -7\)
Now we have a system of two equations:
1. \(4k + \frac{c}{2} = 14\)
2. \(k + c = -7\)
Solve the second equation for \(k\): \(k = -c - 7\)
Substitute this into the first equation:
\(4(-c - 7) + \frac{c}{2} = 14\)
\(-4c - 28 + \frac{c}{2} = 14\)
\(-8c - 56 + c = 28\)
\(-7c = 84\)
\(c = -12\)
Substitute \(c\) back into \(k + c = -7\):
\(k - 12 = -7\)
\(k = 5\)
Now that we have \(k\) and \(c\), we can determine the values of \(a\) and \(b\) using the given proportionalities:
\(a = 5y^2\)
\(b = \frac{-12}{y}\)
Finally, substitute these values of \(a\), \(b\), and \(y\) into the equation \(x = a + b + 4\) to find \(x\) when \(y = 4\):
\(x = 5(4^2) + \frac{-12}{4} + 4\)
\(x = 80 - 3 + 4\)
\(x = 81\)
So, when \(y = 4\), \(x\) is 81.
BEING TIMED! HELP ASAP!!
What is the measure of angle A in this triangle?
Enter your answer in the box.
m∠A=
°
I am to believe the answer is 50 degrees
Answer: hope this helps ♡
m∠A= = 50°
Step-by-step explanation:
Triangle = 180°
A + B + C = 180°
(2x-10)° + (x+30)° + 70° = 180°
2x° + x° + 30° - 10° + 70°= 180°
3x° + 90° = 180°
3x° + 90° - 90 = 180° - 90
3x = 90°
3x ÷ 3 = 90° ÷ 3
x = 30°
m∠A= (2×30-10)° = (60-10)° = 50°
Please, help me with this!
Answer:
D
Step-by-step explanation:
1/2 = 20/40, and 1 = 40/40. 36 is 4 away from 40, and 20 is 20 away from 40. Therefore, 36/40 is closer to 1 than it is 20/40, or 1/2. Hope this helps! Have a great day! :)
Answer:
D
Step-by-step explanation:
please help with this
Answer: d
Step-by-step explanation:
i just know.
Answer:
d
Step-by-step explanation:
i took the test
An automated car wash can wash 6 cars in 1 hour.
How long would it take to wash 18 cars?
Responses
A-2 hours
B-3 hours
C-4 hours
D-5 hours
Answer:
B-3 hours
Step-by-step explanation:
It's actually effortless. you divide the number of cars by six. Mark me brainliest?
Please help me solve the picture below.Also please show the steps on how you solved
A local animal rescue has 20 people that help foster pets while they are
waiting on finding their homes. They expect to gain two additional people
willing to foster animals each month. The amount of animals in need of
homes in the community is currently 10 and growing at a rate of 15% per
month. When will the amount of homeless pets surpass the amount of foster
homes available?
A) Write the two functions that represent this situation.
B) Create a table of values for x=0 to x=13.
C) Approximate the solution(s). Why is this the approximate solution?
D) Using graph paper (and the table of values), sketch the situation to
show the exact solution.
Answer:
A) Let f(x) represent the number of foster homes available after x months, and let g(x) represent the number of homeless pets after x months.
f(x) = 20 + 2x (since 2 additional people are expected to foster each month)
g(x) = 10(1.15)^x (since the number of homeless pets is growing at a rate of 15% per month)
WHATS THE ANSWERRRRRRD
Answer: V = 6250m^3.
A wedding cake has two layers, as shown. Each layer is in the
shape of a cube. The bottom of the cake and the area where
the two cakes meet are not frosted. What is the area that will be frosted on the bottom layer?
The area not frosted in the bottom layer of the cake is 680 square inches. This can be calculated by identifying the total area and the frosted in both the cube-shaped layers and subtracting the same.
Given, the sides of the cube on top are 6 inches, the sides of the cube below are 10 inches. To calculate the total surface area of cake = surface area of top layer + surface area of bottom layer) = [tex](side^{2} *number of sides + side^{2} *number of sides)[/tex]
= 6*6*6+10*10*6 = 816 square inches.
Let us calculate the total area of the cake that is not frosted, = (area of bottom+area of connection) = [tex]side*side + side *side[/tex]= 6*6+10*10 = 136 square inches. To find the area of the cake that is not frosted on the bottom layer,
=(total surface area of the cake - total area of the cake not frosted)
= 816 - 135 square inches = 680 square inches. Therefore, the total area not frosted on the bottom layer is 680 square inches.
To learn more about the area calculation, https://brainly.com/question/30796607
Which expression can be used to find the surface area of the triangular prism represented by the net?
Jenny runs each lap in 8 minutes. She will run less than 96 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today. Write your answer as an inequality solved for n.
Answer:
12 ≥ n
Step-by-step explanation:
8 minutes a lap is EXTREMELY slow, what is she doing? Crawlling?
96/8 ≥ n
12 ≥ n
Answer:
12 laps.
Step-by-step explanation:
If she runs 8 minutes a lap and she runs 96 minutes in total then all you have to do is divide 96 by 8.
96÷8=12
simplify the expression 4x + 3x
I’m not rushing you guys but I have only 2 minutes left to finish this please answer quickly as you can
Please I need help with this question,look at the picture below,solve and show steps how to solve
Answer:6
Step-by-step explanation:
70 points please help
(Also tell me if it says less points on the answer, just write yes or no)
ANSWER BOTH QUESTIONS
Answer:
10(5x -6)3(5x +2)Step-by-step explanation:
You want to factor out the greatest common factor from ...
50x -6015x +6Greatest common factorThe greatest common factor is the largest expression that is a factor of both terms. Here, one term is a constant, so the GCF will be the largest constant that is a factor of both the coefficient and the constant.
For these numbers, your familiarity with multiplication tables will tell you the greatest common factors. More formally, you can find the GCF a couple of different ways.
FactoringYou can factor the numbers involved, and identify the set of common factors. The GCF will be the product of the numbers in that set:
50 = 2·5²; 60 = 2²·3·5; gcf = 2·5 = 1015 = 3·5; 6 = 2·3; gcf = 3Euclid's methodRepeatedly divide by the smaller of the two numbers or the remainder, until the remainder is 0. The last divisor is the GCF.
60/50 = 1r10; 50/10 = 5r0; gcf = 1015/6 = 2r3; 6/3 = 2r0; gcf = 3Factored formFactoring out the greatest common factor, we have ...
50x +60 = 10(5x +6)15x +6 = 3(5x +2)<95141404393>
i need help on the (b.) part pls, thanks
Answer: I can't see
Step-by-step explanation:
Abdul wants to rent a boat and spend at most $35. The boat costs $8 per hour, and Abdul has a discount coupon for $5 off. What are the possible numbers of hours Abdul coult rent the boat?
Use t for the number of hours, write your awnser as an inequality solved for t.
Answer:
Abdul can rent the boat for at most 5 hours.
Step-by-step explanation:
Let's call the number of hours Abdul rents the boat "t".
The cost of renting the boat without the discount coupon is $8 per hour, so the cost would be 8t dollars.
With the discount coupon, the cost of renting the boat would be 8t - 5 dollars.
We know that Abdul wants to spend at most $35, so we can write the inequality:
8t - 5 ≤ 35
Solving for t, we get:
8t ≤ 40
t ≤ 5
Therefore, Abdul can rent the boat for at most 5 hours.
HELP ASAP!!
The interior angles formed by the sides of a hexagon have measures that sum to 720°.
What is the measure of angle F?
Enter your answer in the box.
m∠F=
°
I think the answer is angle f is 100 degrees
which ordered pair is the solution to this system of equations
Answer: (-1, 3)
Step-by-step explanation:
x = -1
y = 3
3 = -1 + 4
-1 + 3 = 2
Answer:
(-1, 3)
Step-by-step explanation:
One way to solve this is to simply plug the points into the equations, and see if both equations hold true.
(1, 5)
5 = 1 + 4 is true
However
1 + 5 = 2 is not true, therefore this isn't the answer.
(0, 2)
2 = 0 + 4 isn't true so we can move on to the next point.
(-1, 3)
3 = -1 + 4 is true
and
-1 + 3 = 2 is also true
Therefore, (-1, 3) is the answer.
What is $400 at 3% for 5 years?
A. Find interest earned
B. Find the balance of the account
Answer:
463.71
Step-by-step explanation: