Answer:
Step-by-step explanation:
the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. They usually spend about $2.89 per gallon. a write and solve an algebraic equation to find out how many miles they will travel. Explain your steps. b. Write and solve an algebraic equation to find out how many gallons of gas they will use. Explain your steps. c. Write and solve an algebraic equation to find out how much ortiz's will spend on gas round trip. Explain your steps. d. suppose you know the total cost of the gas, do not know the price pe gallon. Explain how you would work backward to solved the problem
Answer:
a. 2116 miles
b. 105.8 gallons
c. $305.76
d. cost per gallon = total cost / number of gallons = total cost/105.8
Step-by-step explanation:
a.The round-trip distance is the sum of the distances there and back. It is double the one-way distance.
round-trip distance = 2 × one-way distance
round-trip distance = 2 × 1058 miles = 2116 miles
__
b.The gas used will be the distance divided by miles per gallon.
gas used = round-trip distance / miles-per-gallon
gas used = (2116 mi)/(20 mi/gal) = 105.8 gal
__
c.The cost of gas will be the product of cost per gallon and number of gallons.
cost of gas = cost-per-gallon × gallons
cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76
__
d.The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...
(cost of gas)/gallons = cost-per-gallon
For the same trip, the number of gallons is 105.8, so the equation becomes ...
cost-per-gallon = (cost of gas)/105.8
Write an equation of the line that passes through (4, -5) and is perpendicular to
the line y = 2x +3
Hello there!
We are given the equation of the line
y=2x+3
What's the equation of the line perpendicular to it?
Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, make it negative, and flop it over.The slope of the line perpendicular to the given line is -1/2.Now that we have the slope of the line and a point that the line passes through, we can find the equation of the line.Write it in Point-Slope form:y-y1=m(x-x1)y-(-5)=-1/2(x-4)y+5=-1/2(x-4)y+5=-1/2x+2y=-1/2x+2-5y=-1/2x-3Therefore, this is the equation. Hope it helps. Good luck.
To clarify any doubts, use the comment section.
Answered by
~A lonely teen who helps others joyfully
-Grace
If a city with a population of 500,000 doubles in size every 85 years, what will the population
be 340 years from now?
Answer:
8,000,000
Step-by-step explanation:
if 500,00 is the first year and in 85 years it will be 1,000,000, then after 180 years 2,000,000 and then 4,000,000 after 265 years then 8,000,000 after 340 years
What is a if 5 to the power of a is 1/125
Answer:
its 84.987
Step-by-step explanation:
Trust me im smart :)
Select the correct answer.
Choose the name of the highlighted part of the figure.
O A.
vertex
B.
angle
Oc.
side
Plz help!!
The highlighted part of the triangle is an angle. It is on the inside of the triangle and formed by two sides coming together.
Hope this helps! :)
Answer:
Angle
Step-by-step explanation:
Vertices (plural for vertex) are basically the points of the triangle.
Angles are the amount of space between two line segments (typically measured in degrees)
Sides are line segments of a shape.
Therefore, B is right.
A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.
PLS PLS HELP
1 lb = 0.45 kg
How many pounds are in 90.9 kilograms?
Answer:
200.4002 pounds
Step-by-step explanation:
Answer:
The answer is 200.4002
If you have to round to the nearest thousandth then it is 200.400
If you have to round to the nearest hundredth then it is 200.40
If you have to round to the nearest tenth then it is 200.4
answer the following question
How to solve math equation 45+5
Answer:
50 is the answer
Step-by-step explanation:
you need to add 45+5 the you will get 50
I need this solved as c.l.t
6=n-2n
Answer:
n= -6
Step-by-step explanation:
Madeline earns $128 for 8 hours of work. If she makes a constant hourly wage, which
table represents the relationship between the number of hours she works and her
total earnings?
A
Time
B
Pay
(hours)
Time
(hours)
Pay
8
$128
8
$128
9
$144
16
$136
10
$160
24
$144
с
D
Time
(hours)
Pay
Time
(hours
Pay
1
$16
1
$16
2
$17
11
$26
3
$18
21
$36
Answer:
Table A.
Step-by-step explanation:
Table A is the only table with a constant hourly change, therefore your answer is Table A.
Brainliest would be apprappreciated. :-)
HOPE I MADE YOU SMILE!!
Answer:
ok points
Step-by-step explanation:
Answer:
Thank You so much.....You made me smile lol :Dfind the slope of the line that contains each pair of points -9,-5 and 6,-5
what is the percent increase from 1 to 6
Answer: 20%
Step-by-step explanation:
1 5
100 x
100*5/1 = 20%
Write an equation in slope-intercept form of the line that passes through the points (-2.3) and (2.7)
I'm pretty sure the answer is y=x+5
For a given set of populations and house sizes, different methods of apportionment
may lead to different apportionments.
True
False
Answer: the answer should be true
Use the scale to help you solve the equation.
Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on taking
out a 5-year loan at an APR of 4.21%. What is the monthly payment?
Answer: Alan's monthly payment would be $973.53.
Answer:
Alan monthly payment is going to be $56
Step-by-step explanation:
What is the slope of the line in this graph?
The slope of the line 5/7.
How do i know this?
Well the slope of a line is considered as rise/run.
So we start at the beginning and then go up until the line intersects a corner again. Then we mark that down.
Go back to the beginning and count how many times it takes to reach the height of the intersected corner. So it is 5.
Then we go to the right until we reach the point. And it takes 7 squares to reach it, so the slope it 5/7.
Your welcome! :D
Two plus two equal four
Answer:
Two plus two equals sixxxxxxx
What angle are these?
Answer:
Corresponding Angles and Alternate Exterior
Step-by-step explanation:
The angles are corresponding if same side in a parallel.
This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.
For the other problems if they are opposite sides from one another.
They are called alternate exteriors.
May I please receive help?
First, we know that a² + b² = c². We will just be using this in a different way! b² = c² - a²
b² = 32² - 28²
b² = 1024 - 784
b² = 240
b = 15.49
Hope this helps!
The equation `F=\frac{9}{5}C+32` relates temperature measured in degrees Celsius, `C`, to degrees Fahrenheit, `F`. Determine whether there is a proportional relationship between `C` and `F`. Explain or show your reas
Answer:
No, a Celsius temperature is not proportional to its equivalent Fahrenheit temperature.
Step-by-step explanation:
The formula is
F=(9/5) C+ 32
F increases as C increases and F decreases as C decreases, but the relation is not a direct proportionality.
In mathematics, a direct proportion has the form
y=mx
where m is a constant.
If the formula had been F=(9/5) C, it would have been a direct proportion.
However, the addition of the + 32 term makes the formula no longer a direct proportion
5. PRACTICE E Use Math Tools There were 242 fish in 22 fish
tanks at the pet store. If there were an equal number of fish in
each fish tank, how many fish were in each tank? Draw models
to find the quotient.
Answer:
There is 11 fish in each fish tank
Step-by-step explanation:
242 total fish
divided into 22 fish tanks
242÷22=11
Draw 11 fish in each of the 22 fish tanks
The volume of a cube is 2744mm3.
What is the length of its side?
PLEASEEEE HELPPPP ASAPPPP
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )
4(2x-5) = 5x + 4
What is the answer? Please include step by step method.
Answer:
x=8
Step-by-step explanation:
4(2x-5) = 5x + 4
First, use distributive property for the first part of the equation:
8x - 20 = 5x + 4
Then, move everything to the left of the equation:
Remember, when you move something over an equals sign, the sign in front of the number changes.
8x - 20 - 5x - 4 = 0
Then, combine the like terms:
3x - 24 = 0
Move the -24 to the other side of the equation:
3x = 24
Finally, divide both sides by 3 to isolate the x.
3x/3 = 24/3
3 cancels out on the first half.
x = 24/3
x = 8
Hope this helps! Have a great day!
Answer:
x=8
Step-by-step explanation:
Step 1.
4(2x-5)=5x+4
8x-20=5x+4
Step 2.
Add 20 to both sides
8x-20=5x+4
8x-20+20=5x+4+20
Step 3.
Simplify add the numbers
8x=5x+24
Step 4.
Subtract 5x from both sides of the equation
8x=5x+24
8x-5x=5x+24-5x
Step 5
Simplify
combine like terms
3x=24
Step 6
Divide both sides of the equation by the same term
3x=24 3x/3=24/3
Step 7
Simplify
Cancel terms that are in both the numerator and denominator
divide the numbers
x=8
What are the terms in the expression 2d+7+5f
Answer:
3 terms 2d,7 and 5f
Step-by-step explanation:
Answer:
The answer would be 2d 7 5f hope this helps
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!
Answer:
4) a₁₅ = 128
5) B. [tex]a_n=a_{n-1}+6[/tex]
Step-by-step explanation:
4)
This is an arithmetic sequence, where all terms have a common difference:
[tex]a_n=a_1+(n-1)d[/tex]
Here, the common difference is 9.
[tex]11-2=9\\20-11=9[/tex]
Use that to write the equation and solve for a₁₅:
[tex]a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128[/tex]
5)
This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:
[tex]a_n=a_{n-1}+d[/tex]
This simply states that each term is d more than the term before it.
Here, the common difference is 6:
[tex]2--4=6\\8-2=6\\14-8=6[/tex]
And the equation for this is B. [tex]a_n=a_{n-1}+6[/tex]
The ratio of United States gold medals to Russia gold medals was about to 1. If the US has 46 and Russia has 24, then what is the ratio
Answer;
23:12
Step-by-step explanation:
if USA has 46medals and Russia had 24medalso 46 : 24lowest term method 2in 46 23and 24/2is 12 answer 23 : 12The ratio between the US and Russia is 23:12
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here US has 46 and Russia has 24 and thus the ratio is
46:24=23:12
Hence, the required ratio is 23:12
Learn more about ratios here:
https://brainly.com/question/13419413
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