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

Answers

Answer 1

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


Related Questions

One step equations- solve for "X" or find it. Please help
3x=-12
14x=280
x+6=-5
x+27=125
x-324=760
x-43=35
x/6=-24
x/13=214
26-x=47
-x/3=-998
I know, I always put 100 points, I just like giving extra points :) Merry almost Christmas also!!!

Answers

Since these are one-step equations we only have one step.

To solve, these single steps will include the following:

[1] addition (+)

[1] subtraction (-)

[2] division (/ or ÷)

[2] multiplication (* or x)

How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets"  of which we use.

[] 3x = -12

     -> -4

We have multiplication so we will divide -12 by 3 for an answer of -4

[] 14x = 280

     -> 20

We have multiplication so we will divide 280 by 14 for an answer of 20

[] x + 6 = -5

     -> -11

We have addition so we will subtract 6 from -5 for an answer of -11

[] x + 27 = 125

     -> 98

We have addition so we will subtract 27 from 125 for an answer of 98

[] x - 324 = 760

     -> 1,084

We have subtraction so we will add 324 to 760 for an answer of 1,084

[] x - 43 = 35

     -> 78

We have subtraction so we will add 43 to 35 for an answer of 78

[] x/6 = -24

     -> -144

We have division so we will multiply 6 by -24 for an answer of -144

[] x/13=214

     -> 2,782

We have division so we will multiply 13 by 214 for an answer of 2,782

[] 26 - x = 47

     -> -21

We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x

Then, we have addition so we will subtract 47 from 26 to get an answer of -21

[] -x/3=-998

     -> 2,994

First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]

Then, we have division so we will multiply -3 by -998 for an answer of 2,994

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

x/4-6=10 PLEASE HELP I NEED HELP ASAP

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf \dfrac{x}{4} - 6 = 10[/tex]

[tex] \sf \dfrac{x}{4} = 10 + 6[/tex]

[tex] \sf \dfrac{x}{4} = 16[/tex]

[tex] \sf x = 16 \times 4[/tex]

[tex] \sf x = 64[/tex]

Value of x is 64

The answer: x = 64
Ok done. Thank to me :>

In ΔFGH, f = 830 inches, g = 460 inches and h=500 inches. Find the measure of ∠H to the nearest degree.

Answers

Answer:

32 degrees

Step-by-step explanation:

The law of cosines can be used for this:

 h^2 = f^2 +g^2 -2fg·cos(H)

 cos(H) = (f^2 +g^2 -h^2)/(2fg)

 cos(H) = (650,500/763,600)

 H = arccos(6505/7636) ≈ 31.5826°

Hey yall I need help on this question pls give explanation

Answers

Answer:

0.5 liters

Step-by-step explanation:

If they were to get 0.25 then they would still be missing some more for the recipe. If they get 0.5 then they would have just a tad bit leftover. Less than 0.027 liters. Which is the smallest amount that they can have left over. 1liter and 1.5liters are over twice the amount of the recipe. So that wouldn't be a wise choice unless they wanted to make double or triple the recipe.

Answer:

The answer is 0.5 liter

Step-by-step explanation:

Because 0.25 liter ÷ 0.5 liter = 0.5 liter

If the magnitude of vector u is ||u||=7.81 and its angle of direction is 129.81°, which graph represents vector -u?

Answers

Answer:

  see attached

Step-by-step explanation:

The vector -u will be in the opposite direction of u. The magnitude is 7.81, but the angle is 129.81° -180° = -50.19°. A graph of it is attached.

_____

The (x, y) components are ...

  7.81(cos(-50.19°), sin(-50.19°)) ≈ (-5.00, -6.00)

110 < 2x + 10 pls helppppppp

Answers

110<2x+10

Step 1: Flip the equation.

2x+10>110

Step 2: Subtract 10 from both sides.

2x+10−10>110−10

2x>100

Step 3: Divide both sides by 2.  

x>50

Step-by-step explanation:

work out m and c for the line: 5x-3y+4=0

Answers

Answer:

[tex]m = \frac{5}{3}[/tex]  

[tex]b = \frac{4}{3}[/tex]

Step-by-step explanation:

The question requires you to rearrange the equation into the form:

y = mx + c

Which is the straight line equation, meaning rearrange for y:

Add 3y to both sides of the equation:

5x - 3y + 4 = 0

5x - 3y + 4 + 3y = 0 + 3y

5x + 4 = 3y

Divide both sides of the equation to isolate y:

[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]

[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]

This means that  [tex]m = \frac{5}{3}[/tex]  and [tex]b = \frac{4}{3}[/tex].

Hope this helps!

Answer:

m = 5/3 and c = 4/3.

Step-by-step explanation:

5x - 3y + 4 = 0

-3y = -5x - 4

y = (-5/-3)x - 4/-3

y = 5/3 x + 4/3

y  = mx    +  c

So m = 5/3 and c = 4/3

Sarahi has p number of pencils, if she finds 2 more and then triples her amount she still has less than Damaris
who has 40. Write an inequality for how many pencils Sarahi has.

Answers

Answer:

I believe the inequality would be: p+2x3<40

Step-by-step explanation:

Not exactly sure if it is correct but p (number of pencils Sarahi has) added too the 2 more she finds, and then x3 (when she triples her amount). This is less then (<) what Damaris has (which is 40) so it would be p+2x3<40.

Again not sure if its completely correct, but i hope it helps :,)

What is the perimeter and area of this shape

Would help if you explained why

Will give brainliest

Answers

Answer:

area: 133.5 m²perimeter: 52.02 m

Step-by-step explanation:

Area

The area of each trapezoid can be found using the relevant formula:

  A = 1/2(b1 +b2)h . . . . b1, b2 are the base lengths; h is the height

For the top trapezoid, the height is 13 m-7 m = 6 m, so the area is ...

  A = 1/2(8 m +5 m)(6 m) = 39 m²

The area of the bottom trapezoid is ...

  A = 1/2(10 m +17 m)(7 m) = 94.5 m²

The area of the shape is the sum of the areas of the two trapezoids.

  area = 39 m² +94.5 m² = 133.5 m² . . . . area of the figure

__

Perimeter

The horizontal lengths are all marked, but the slant lengths are not. There are no angles or other information given that can help determine the slant lengths. In order to answer the question, we can assume that the trapezoids are isosceles. Then the base of the right triangle shown in the top trapezoid is (8 -5)/2 = 1.5 m. The height is 6 m. The Pythagorean theorem tells us the slant length is ...

  s1 = √(1.5² +6²) ≈ 6.1847 . . . . meters

Similarly, the base length of the right triangle shown next to the bottom trapezoid is (17 -10)/2 = 3.5 m. The height is 7 m. The slant length of that one is ...

  s2 = √(3.5² +7²) ≈ 7.8262 . . . . meters

__

The perimeter is the sum of the lengths of the sides. Note that the 17 m dimension includes 8 m that are not part of the boundary of the figure. The sum of lengths of the horizontal edges is ...

  10 m +(17 -8 m) +5 m = 24 m

The sum of the lengths of the slant edges is ...

  2·s1 +2·s2 = 2(6.1847 +7.8262) ≈ 28.02 . . . . meters

The perimeter of the figure is the sum of horizontal lengths and slant lengths:

  24 m + 28.02 m = 52.02 m . . . . perimeter of the figure

Using the slope formula, find the slope of the line through the given points.
(9.7) and (6.4)
What is the slope of the line? Select the correct choice below and if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Type an integer or a simplified fraction.)
OB. The slope of the line is undeined.
Help pls

Answers

Answer: Start with y2-y1/x2-x1

-4+7/-6+3

Answer=2.5 or 5/2

DONT TRUST ME THOUGH

Step-by-step explanation:

Pls help i have to turn this in tomorrow!!! I’m not sure if i did this right, if not pls tell me how to do <3

Answers

Answer:

13

Step-by-step explanation:

Sorry no one answered in time, but you had it correct up to 26/2. 26/2 is correct (26 minutes for 2 people) but you need for 1 person so you divide by 2 to get 13 minutes per 1 person.

Rewrite using the distributive property and the GFC
13+26 ?

Answers

Answer: 13 ( 1 + 2 )

Step-by-step explanation:

13 ( 1 + 2 ) = 13 + 26

Given that x=2, y=5 and z=3 evaluate the value of x-2y

Answers

Answer:So firstly, plug in the numbers into the expression:

Next, solve the exponents:

Next, solve the multiplications:

Lastly, combine everything, and your answer will be -23.

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

By substituting the given numeric values for x,y and z into the expression.

That is

(3)3−2(5)2−3(3)3+(−3)4

------------------------------------------------

I'll evaluate each term separately.

(3)3=3×3×3=9×3=27

2(5)2=2×(5×5)=2×25=50

3(3)3=3×(3×3×3)=3×27=81

(−3)4=[(−3)×(−3)]×[(−3)×(−3)]=9×9=81

-------------------------------------------------

Replace these values back into the expression , noting the values which are subtracted.

⇒27−50−81+81=27−50=−23

A triangle has sides represented by 9, x, and x + 2. If the
perimeter is 35, find the length of the longest side.

Answers

Answer:

14.

Step-by-step explanation:

1) if the sides of the given triangle are 'a'=9, 'b'=x and 'c'=x+2, then its perimeter can be written as: P=a+b+c or P=9+x+x+2;

2) if according to the condition P=35, then 9+x+x+2=35;

2x=24; ⇒ x=12;

3) if x=12, then a=9; b=12 and 14;

4) finally, c=14 - the required longest side.

please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Joe purchases a tray of 48 flowers to plant in his garden. He plants 3 flowers every minute. He can plant the entire tray in 16 minutes.

When setting up a graph to model how many flowers he plants over time, what would be an appropriate scale for the x-axis (horizontal axis)?

Question 10 options:

0 - 48


0 - 3


16 - 48


0 - 16

Answers

Answer:

B im very sorry if im wrong <3

Step-by-step explanation:

Answer:48

Step-by-step explanation:Required equation is y - 36 = (24 - 36)/(2 - 1) (x - 1)

y - 36 = -12(x - 1)

y - 36 = -12x + 12

12x + y = 12 + 36

12x + y = 48

help me no bots I need help pls give me all 3 answers!

Answers

Answer:

y= -10x+70

slope being -10 and y-intersept being 70

Step-by-step explanation:

Answer:

Equation: y=-10x+70

Slope: -10

Y-Intercept: 70

Hope this helps!

Step by step? Just ask.

Doubt? --> comment section.

Happy Holidays! (✿◡‿◡)

You are given a picture that is 2 inches wide and 3 inches tall. You have to make a
poster that is 12 inches wide. How many inches tall would the poster be? *
O 10 inches
12 inches
15 inches
O 18 inches

Answers

Answer: 18 inches

Step-by-step explanation:

2 x 6 = 12 inches (wide)

3 x 6 = 18 inches (tall)

Helen has been sick and only able to work on a part time basis what type of disability may she be eligible for? What percentage should she expect the insurance policy to pay

Answers

The percentage of the amount which should be expected to be paid from the insurance policy based on the part time work Helen has been doing is:

Two-thirds of their average weekly wage

Based on the given question, we can see that partial disability benefit is the theme in play here as Helen has been sick and been working on a part time basis which helps her to be eligible for partial disability benefit.

Under this type of disability benefit, Helen is entitled to get about two-thirds of her average weekly wage because she is working part time because of her disability which is her sickness.

Read more about insurance policy here:

https://brainly.com/question/24441770

Convert 555 into base five numeral system .( no link pls)............​

Answers

Presumably you mean 555 as a number in base 10.

We have

555 = 5 • (100 + 10 + 1)

… = 5 • (4 • 25 + 2 • 5 + 1)

… = 5 • (4 • 5² + 2 • 5¹ + 1 • 5⁰)

… = 4 • 5³ + 2 • 5² + 1 • 5¹

… = 4210₅

Hamilton's rule is "Add 4." If he starts with 8, which number would be the 5th number in his pattern?

A. 28
B. 24
C. 20
D. 12

Answers

Answer:

B. 24

Step-by-step explanation:

If N1 = 8;

N1 + 4

8 + 4 = 12 =N2

N2 + 4

12 + 4 = 16 = N3

N3 + 4

16 + 4 =20 = N4

N4 + 4

20 + 4= 24 = N5

The accompanying table shows the value of a car over time that was purchased for 14000 dollars, where x is years and y is the value of the car in dollars. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, determine the value of the car, to the nearest cent, after 12 years.

Answers

Since the company table shows the value of a car overtime that is purchased for $14,000 where exes years and why is the value of the coronavirus write an expression of regression equation for the set of data running I’ll call fissions to the nearest hundredth using a question term in the value of the car to the nearest cent after 12 years were the answer is actually 14

If a store sells 300 flat screen TVs and 30% of high definition, how many high definition TVs were sold?

Answers

90 Tv’s are high def! 300/100 = 3 (this is what 1% equals because there’s 100% total) so if we know 1% is 3 tv’s and 30% are high def, then we find out how many tv’s 30% is. so if 3 is 1% then 30 x 1= 30 then 30x3 = 90!

Simplify.
(7⁴)²

(EXPONENT FORM ONLY)

Answers

The answer is 7^8.
To raise a power to another power, you multiply the exponents. 4x2=8. 7^8

HELP ME PLEASEEEE I NEED ITT !

Answers

Answer:

5.8

miles

Step-by-step explanation:

Since area is l×b or l×l since its a square(sides are equal) we can conclude that S×S=33.64

Another way to represent this is

[tex] {s}^{2} = 33.64[/tex]

to get S we can square root both sides

[tex]s = \sqrt{33.64} [/tex]

[tex] \sqrt{33.64} = 5.8[/tex]

Therefore S=5.8miles

Answer = about 5.82 miles squared

Explanation: The shape is a square meaning all of the side lengths are the same. So the square root of 33.84 is 5.82 and 5.82 to the second power is about 33.84.

Joshua found out that there is a$25 nonrefundable equipment fee in addition to the hourly rates. How does this requirement change the mathematics of the situation?

Answers

Answer:

Y=hx+25

Step-by-step explanation:

y=total price paid

h=hourly rate

x=number of hours

25=inital fee

The value of y varies directly with x. If x = 8, then y = 96. What is the value of x when y = 168?

Answers

Answer:

x = 14

Step-by-step explanation:

Direct variation equation:

y = kx, where k is constant of variation

Given:

96 = 8kk = 96/8k = 12

The equation is:

y = 12x

Find the value of x when y = 168:

168 = 12xx = 168/12x = 14

which expression is equivalent to (6^5) (6^2)

Answers

6*6*6*6*6
6*6
Are equivalent to 6^5 and 6^2

Helppppppp pleaseeeee

Answers

The answer would be -1, it is negative because the line is going downwards

mikah bought a dozen cupcakes for her friends birthday. if she paid 3.48 dollars for the cupcakes what was the cost per cupcake. explain please

Answers

12 cupcakes = $3.48
1 cupcake = $3.48/12 = $0.29

Each cupcake must equal $0.29. To prove this, if we multiply 0.29 by 12, we should get her original cost of $3.48.

f(x) = -2x - 1; Find f (x - 4)

Answers

Answer:

B

if f(x-4) then we should put x-4 where the x is spouse to be so;

-2(x-4)-1 =

-2x + 8 - 1 =

-2x + 7

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