Answers
Adrian's car travels 15.3 miles less on one gallon of gas than Caroline's car.
What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
Caroline's equation is given as follows:
y = 44x.
Hence her car travels 44 miles on a gallon of gas.
Adrian's constant is given as follows:
k = 143.5/5 = 287/10 = 28.7.
Hence his car travels 28.7 miles on a gallon of gas.
Hence the difference is given as follows:
44 - 28.7 = 15.3 miles.
More can be learned about proportional relationships at https://brainly.com/question/7723640
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Related Questions
Please help me asap! If you can, explain too. Thanks so much! ⌒°(ᴖ◡ᴖ)°⌒
Answers
Answer:
See below.
Step-by-step explanation:
15b + 10g = 6480 -----(1)
b + g = 582 -----(2)
Using substitution method of linear equations,
b + g = 582
g = 582 - b ------(3)
15b + 10g = 6480 ------(1)
15b + 10 (582 - b) = 6480
15b + 5820 - 10b = 6480
15b - 10b = 6480 - 5820
5b = 660
b = 660/5
b = 132
g = 582 - b -------(3)
g = 582 - 132
g = 450
Number of balcony seats (b) = 132 & number of ground seats (g) = 450.
____________
hope this helps!
A cube and square pyramid are shown. Name a two-dimensional figure that is a cross-section of both the cube and pyramid. Explain how the cross section is obtained.
Answers
Answer:
a circle
Step-by-step explanation:
A figure can be broken into a parallelogram and triangle.
Which formulas will you use to find the area of this irregular figure? Select all that apply.
A = one-half b h
A=b+h
A=bh
A=2bh
A=2(b+h)
Answers
Answer:
(a) A = 1/2bh
(c) A = bh
Step-by-step explanation:
You want the formulas for the area of a triangle and the area of a parallelogram.
Area formulasThe formula for the area of a triangle is ...
A = 1/2bh
The formula for the area of a parallelogram is ...
A = bh
__
Additional comment
The formula for the area of a trapezoid is ...
A = (1/2)(b₁ +b₂)h
A trapezoid is a quadrilateral with two parallel sides. These parallel sides are the bases, b₁ and b₂.
A parallelogram has bases of the same length. Using that fact in the formula gives ...
A = (1/2)(b +b)h = (1/2)(2b)h = bh . . . . area of a parallelogram
In a triangle, one of the bases is zero length. Using that fact in the formula gives ...
A = (1/2)(b +0)h = 1/2bh . . . . area of a triangle
The perimeter of a rectangle has the formula ...
P = 2(b +h)
It should not be confused with an area formula.
yeah they gave me more questions i'm sorry
Answers
Answer:
2 1/3 lego planes
Step-by-step explanation:
3 1/2 = 3.5
we cross multiply
x = amount of lego planes
xlego x 60 = 3.5 x 40
3.5 x 40 = 140
140 ÷ 60
= 7/3 or 2 1/3
Answer:2 1/3
Step-by-step explanation:
Look at the two patterns below:
Pattern A: Follows the rule add 6, starting from 5.
Pattern B: Follows the rule add 3, starting from 5.
Select the statement that is true.
A The terms in Pattern A are 2 times the corresponding terms in Pattern B.
B The terms in Pattern B are one-third the corresponding terms in Pattern A.
C The first five terms in Pattern A are 5, 11, 17, 23, and 29.
D The first five terms in Pattern B are 0, 5, 8, 11, 14.
Answers
The correct statement regarding the arithmetic sequences is given as follows:
C The first five terms in Pattern A are 5, 11, 17, 23, and 29.
What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
Pattern A follows the rule add 6, starting from 5, hence the first five terms are given as follows:
5, 11, 17, 23, 29.
For Pattern B, the rule is add 3, starting from 5, hence the first five terms are given as follows:
5, 8, 11, 14, 17.
This means that option C is the correct option in the context of this problem.
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
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WHICH ONE IS THE ANSWER THANK YOU
Answers
Answer:
Step-by-step explanation:
the first one i think
Help i'm very confused on this i would appreciate the help
Answers
The transformations that would result in this image are using points of ABC and plotting the points of A'B'C' in the third quadrant.
Looking at the picture below, it seems that the triangle has a reflection across the y-axis, and flipped downwards from the x-axis, leaving the shape looking like this.
I hope this helps!
Lana is deciding whether to buy a pool pass for the summer.
A pass costs $40.00 and $1.00 for admission each day. Without a pass, the cost is $5.00 per day.
Use the system of equations below to find out the number of days, d, for which the cost will be the same whether she decides to get a pass or not. Show your work.
c = d + 40
c = 5d
Answers
Equate c=d+40 into c=5d
5d=d+40
Collect like terms
5d-d=40
4d=40
d=40/4
d=10
GIVE ME THE ANSWER HELP THANKS
Answers
y=1.5x
Step-by-step explanation:
2 times 1.5=3 so
explanation 2 X 1.5 = 3
hi I’m confused on this. this ISNT a test, exam, etc it’s a PRACTICE SHEET. STOP DELETING MY STUFF! I am doing this at home! pls help tho I don’t know
Answers
Answer:
it is symmetric
Step-by-step explanation:
Which data set could be represented by the box plot shown below? (Sorry for the grey line on the top of it. I accidentally drew that.)
Answers
Answer:
C
Step-by-step explanation:
It cannot be D as the smallest number on the box plot is 16 and D says 15 so we can rule that out.If we want to work out the median, we add use this equation: [tex]\frac{n+1}{2}[/tex] (This is just adding one to the amount of numbers and dividing that number by two. This tells you the place of the median. The box plot says the midpoint is 22 so we work out the numbers with 22 as their median. If we try A, the amount of numbers is 12, so we add 1 to make 13 and divide by 2 to get 6.5 (Bare in mind this is the same for all 4 sets of numbers). If we want to work out the 6.5th place, we just get the 6th and the 7th place, add them together and divide by 2. (23 +23)/2 = 23 so that A cannot be correct. The median is also 23 for B meaning that is also incorrect.In C however, the median is in fact 22 indicating that C is indeed the correct answerPLEASE help me with this question
WILL MARK BRAINLIEST IF CAN
Answers
Answer:
I think it is 45
Step-by-step explanation:
The reason is because 6 to the power of 2 which is 6 x 6 equals 36 and 36 + 9 = 45
Choose the inequality that represents the following graph.
Answers
Answer:
B.
Step-by-step explanation:
Because the circle or dot on the number line is filled (isn't hollow), it means that it include the number 4.
Also, since the line is going towards the right (becoming less and less), the number (x) must be -4 or less.
Answer:
B. [tex]x\leq -4[/tex]
Step-by-step explanation:
When you graph the inequality, you use the following;
If the equation has a [tex]\leq[/tex] sign, you use a closed circle and it goes left, since it is less than.
When you graph, you look at what sign the equation has, and you look at what number the variable (x) is less than or greater than and put the dot on that number. In this case, it is [tex]\leq[/tex] -4, so the dot will be on -4.
When you put it all together;
Since it is [tex]\leq[/tex], there will be a closed circle.
The equation is x [tex]\leq[/tex] -4, so the dot will go on the -4 and go left.
All of the characteristics of the equation match the graph, therefore, it is B. x [tex]\leq[/tex] -4.
Hope this helps!! :)
The diagram shows the layout of the township playground. The playground committee is ordering rubber mulch to cover the playground surface.
A playground is made up of a rectangle and a triangle. The rectangle has a base of 40 feet and height of 25 feet. The triangle has a base of 22 feet and height of 20 feet.
Which shows how to calculate the area of the playground?
A = 40 times 25 + one-half (18) (20)
A = 40 times 25 + one-half (22) (20)
A = 20 times 25 + one-half (25) (20)
A = 20 times 18 + one-half (40) (25)
Answers
Make a number line and mark all possible points.
Don't mind the white box....
Answers
X is more than 1/3 but less than or equal to 1 1/3
For a given recipe, 8 cups of flour are mixed with 16 cups of sugar. How many cups of sugar should be used if 4 cups of flour are used? Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
Answers
Answer:
32
Step-by-step explanation:
if u use half amount of cups then u would use double amount of sugar
Answer: 32
Step-by-step explanation:
IL GIVE BRANLIST!!!!! PLEASE ASAP!!
Answers
The surface area of this pyramid is 224 millimeters
You can refer to this question for the net:
https://brainly.com/question/26898454
You can refer here for the second part of the question, and it is 19 boxes:
https://brainly.com/question/26527432
free brainliest whoever helps me!!!
Answers
Answer:
The common monomial is 3 x^2 y
The binomial is 2x+y
Step-by-step explanation:
6x^3y + 3x^2y^2
We can factor out 3 x^2y
3x^2y (2x + y)
The common monomial is 3 x^2 y
The binomial is 2x+y
The common monomial is 3 x^2 y. The binomial is 2x+y
Can you please help me?
Answers
Answer:
$5.30 is the answer
Step-by-step explanation:
first find Monica and Llna “ ammount “
25 + 6% = 26.5
30 + 6% = 31.8
Find the difference ( already rounded )
31.8 - 26.5 = 5.3
5.3 is the difference
$5.30 bringing the answer
Choose the inequality that represents the following graph.
Answers
Answer:
c
Step-by-step explanation:
because the circle is on top of 3 and its not shaded in so x is smaller than 3
I NEED THE ANSWER HELP PLS
Answers
divide by 10
subtract 10
subtract 18
divide by 5
got to remove the numbers to isolate p
Divide by 10
Subtract by 10
Subtract by 18
Divide by 5
Can someone help me out
Answers
The answer is it has 4 equal sides
the volume of the cylinder is 48[tex]\pi[/tex] cubic feet. the area of the base is 12[tex]\pi[/tex] square feet. whats the ***height** of the cylinder
Answers
60m + 60m + 40m + 40m =?
Answers
Answer:
200m
Step-by-step explanation:
60 + 60 = 120
40 + 40 = 80
120 + 80 = 200m
Use communituve property and move it around
60 + 40= 100
60+40 =100
100 + 100= 200m
10 ÷ (5 · g) = 0.8
I need all steps
Answers
Answer:
g = 5/2
Step-by-step explanation:
Step 1: Simplify on the left-hand side of the equation:
10 / (5 * g) = 0.8
10 / 5g = 0.8
Step 2: Multiply both sides by 5g:
(10 / 5g = 0.8) * 5g
10 = 4g
Step 3: Divide both sides by 4. Then, simplify the fraction on the left-hand side of the equation to solve for g:
(10 = 4g) / 4
10/4 = g
5/2 = g
Thus, g = 5/2 (you could also use g = 2.5 since 5/2 and 2.5 are the same number).
Optional Step 4: Check the validity of the answer:
We can check that we've found the correct answer by plugging in 5/2 for g and seeing if we get 0.8 on both sides of the equation:
10 / (5 * 5/2) = 0.8
10 / (25/2) = 0.8
10 * 2/25 = 0.8
20/25 = 0.8
4/5 = 0.8
0.8 = 0.8
Thus, g = 5/2 is correct.
The value of g that satisfies the equation 10 ÷ (5 · g) = 0.8 is g = 2.5.
To solve the equation 10 ÷ (5 · g) = 0.8, we can use algebraic methods to find the value of g.
First, let's simplify the expression on the left side of the equation. Since we have multiplication and division, we perform those operations in the order of operations (PEMDAS).
We start with the multiplication inside the parentheses: 5 · g = 5g.
Now, we can rewrite the equation as 10 ÷ (5g) = 0.8.
To isolate g, we need to get rid of the division. We can do this by multiplying both sides of the equation by (5g):
(5g) * (10 ÷ (5g)) = (5g) * 0.8.
On the left side, the (5g) terms cancel out, leaving us with 10:
10 = 0.8 * (5g).
Next, we can simplify the right side by multiplying 0.8 and 5g:
10 = 4g.
To isolate g, we divide both sides of the equation by 4:
10 ÷ 4 = (4g) ÷ 4.
The left side simplifies to 2.5, and on the right side, the 4 cancels out, leaving us with:
2.5 = g.
Therefore, the value of g that satisfies the equation 10 ÷ (5 · g) = 0.8 is g = 2.5.
To learn more about algebraic methods:
https://brainly.com/question/8060450
Malik recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Answers
please help you will get 20 points i dont have much im sorry
Set A) Calculate the positive and negative values to solve the problems.
1) Jill owes $4 to Jennifer, $4 to Michelle, and $4 to Eileen. How much does she owe altogether?
2) Joey owes $4 to 4 different friends. How much money does he owe altogether?
3) What is the product of -7 and -6?
4) The total bill at a restaurant was $49 to be split evenly among 7 friends. How much money did each friend owe?
5) How much is -81 divided by 9?
6) How much is -100 divided by -10?
7) A group of 18 patrons each owe $15 at a restaurant. What is the total amount owed by all 18 customers?
8) What is the product of -12 and -13?
9) How much is -16 times 4?
10) What is the quotient when -45 is divided by -9?
Set B) Write an equation for each word problem. Then solve the equation
1) What number is 12 less than 35?
Equation: n = 35- 12
Solution: n = 23
2) What number added to 23 equals 41?
Equation:
Solution:
3) What number less 29 is 61?
Equation:
Solution :
4) What number added to 36 equals 53?
Equation:
Solution:
5) What number added to 19 equals 43?
Equation :
Solution:
6) What number divided by 4 equals 12?
Equation:
Solution:
7) What number times 12 equals 96?
Equation:
Solution:
8) What number divided by 8 equals 11?
Equation:
Solution :
9) What number times 19 equals 190?
Equation:
Solution:
10) What number divided into 42 equals 6?
Equation:
Solution:
Answers
Answers:
Set A:
1) $12
2) $16
3) 42
4) Each friend owed $7 each
5) -9
6) 10
7) $1.2
8) 156
9) -64
10) 5
Set B:
2) Equation: x + 23 = 41
Solution: 18
3) Equation: x - 29 = 61
Solution: 90
4) Equation: x + 36 = 53
Solution: 17
5) Equation: x + 19 = 43
Solution: 24
6) Equation: x / 4 = 12
Solution: 48
7) Equation: x * 12 = 96
Solution: 8
8) Equation: x / 8 = 11
Solution: 88
9) Equation: x * 19 = 190
Solution: 10
10) Equation: x / 42 = 6
Solution: 252
wud appreciate it if you would put me as brainliest :)
Hope this helps <3
decimal skill pratice
1) A big-bend gecko is 16.8 centimeters long. A yellow-headed gecko is 8.9 centimeters long. How much longer is the big-bend gecko?
2) A gray-banded kingsnake is 120.7 centimeters long. A common kingsnake is 208.3 centimeters long. How much longer is the common kingsnake?
3) A green water snake is 187.75 centimeters long. A plain-bellied water snake is 157.5 centimeters long. How much shorter is the plain-bellied water snake?
4) A tiger rattlesnake is 91.39 centimeters long. A Mojave rattlesnake is 129.5 centimeters long. What is their combined length?
5) One Western rattlesnake is 162.6 centimeters long. Another of the same species is 41.66 centimeters long. What is their combined length?
6) One brown water snake is 175.3 centimeters long, another is 71.23 centimeters long, and a third is 101.333 centimeters long. What is the total length of the three snakes?
7) An Eastern hognose snake is 114.49 centimeters long. A western hognose snake is 89.5 centimeters long. What is the difference in length?
8) A many-lined skunk is 19.399 centimeters long. A prairie skunk is 20.6 centimeters long. What is the difference in length?
9) A racerunner is 26.7 centimeters long. A New Mexican whiptail is 30.199 centimeters long. What is their combined length?
10) One Western fence lizard is 15.222 centimeters long. Another is 23.444 centimeters long. A third lizard is 20.997 centimeters long. What is their total length
Answers
Step-by-step explanation:
1. The big-bend gecko is longer by 7.9 centimeters (16.8 - 8.9 = 7.9).
2. The common kingsnake is longer by 87.6 centimeters (208.3 - 120.7 = 87.6).
3. The plain-bellied water snake is shorter by 30.25 centimeters (187.75 - 157.5 = 30.25).
4. The combined length of the tiger rattlesnake and Mojave rattlesnake is 220.89 centimeters (91.39 + 129.5 = 220.89).
5. The combined length of the two Western rattlesnakes is 204.26 centimeters (162.6 + 41.66 = 204.26).
6. The total length of the three brown water snakes is 347.863 centimeters (175.3 + 71.23 + 101.333 = 347.863).
7. The difference in length between the Eastern hognose snake and the Western hognose snake is 24.99 centimeters (114.49 - 89.5 = 24.99).
8. The difference in length between the many-lined skunk and the prairie skunk is 1.201 centimeters (20.6 - 19.399 = 1.201).
9. The combined length of the racerunner and the New Mexican whiptail is 56.899 centimeters (26.7 + 30.199 = 56.899).
10. The total length of the three Western fence lizards is 59.663 centimeters (15.222 + 23.444 + 20.997 = 59.663).
10 points, with explanation, please.
Triangle NMO is drawn with vertices N(−5, 2), M(−2, 1), O(−3 , 3). Determine the image vertices of N′M′O′ if the preimage is reflected over x = −5.
N′(5, 2), M′(2, 1), O′(3, 3)
N′(2, −5), M′(1, −2), O′(3, −3)
N′(0, 2), M′(3, 1), O′(2, 3)
N′(−5, 2), M′(−8, 1), O′(−7, 3)
Answers
Answer:
I had to put it as an image since some of the symbols doesn't really a-line properly
Step-by-step explanation:
Which graph shows the line that best fits the data points given? Help asap!
Answers
Answer:
the 4th one
Step-by-step explanation:
The data points are in alignment with the line, showing it as a linear graph, even though the data points are scattered.
sorry if Im wrong