Mathematics High School

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:

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

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

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

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

I watch television from 5 o clock until half past. How long do I watch for?I watch television from 5 o clock until half past. How long do I watch for?

Answers

Answer:

30 minutes

Step-by-step explanation:

15,735 children visited a fun park in January and 32,012 children visitedit in February. How many children visited the fun park in 2 months?

Answers

47,747 all you do is add the two numbers together

PLEASE HELP WILL GIVE BRAINLIEST

5. Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?

Answers

Answer:

Step-by-step explanation:

Tod did not want the answer?

In the diagram below, TU is parallel to Q R. If
RU = 12, TU = 25, and QR = 40, find the length of
SU. Figures are not necessarily drawn to scale. State
your answer in simplest radical form, if necessary.

Answers

Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.

Recall:

When two triangles are similar, the ratio of their corresponding side lengths are equal.

Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.

Therefore:

SR/SU = QR/TU

SR = RU + SU = 12 + SU

SU = ?

QR = 40

TU = 25

Plug in the values

[tex]\frac{12 + SU}{SU} = \frac{40}{25}[/tex]

Cross multiply

[tex](12 + SU)25 = 40(SU)\\\\300 + 25SU = 40SU\\\\300 = 40SU - 25SU\\\\300 = 15SU\\\\\mathbf{SU = 20}[/tex]

Learn more about similar triangles on:

https://brainly.com/question/11850540

What other point will appear on the line representing this proportional relationship where the constant of proportionality is 2?

A
(1,3)

B
(2, 4)

C
(2, 2)

D
(4, 2)

Answers

Answer:

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

Here k = 2 , then

y = 2x

This means that the y- coordinate is twice the x- coordinate

The only point where this is true is the point

(2, 4 ) → B

Answer:

B (2,4)

Step-by-step explanation:

If the independent variable (x) is 2, and 2 is the constant of proportionality, y is 2 x 2, or 4. (2, 4) appears on the line representing this proportional relationship.

I NEED HELP PLSSSSSSSSSSSSSSSSS

Answers

Answer:

#1 and #3

Step-by-step explanation:

5/6 divided by 3/4 in simplest form

Answers

Answer: The answer is 1 1/9.

Explanation: Multiply the numerator by the reciprocal of the denominator(5/6 x 4/3). Cancel the common factor of 2, then multiply 5/3 x 2/3. The result is 10/9, which is an improper fraction which should be converted to the mixed fraction 1 1/9.

HELPPP
I NEED TO CHECK OFF ALL THE FUNCTIONS PLEASE HELP ME

Answers

Answer:

I'm not sure but I think it's everything outside of circular, graphic and reflective. I'm only unsure with the last one but since it's 4 point I would assume it's 4 answers.

Which statement is not used to prove that triangle ABC is similar to triangle ADC?

Answers

Answer:

what are the statements we pick from?

Step-by-step explanation:

most likely look out for angles and lengths that go against the established ratio

5) If 5 times a number is increased by 4, the result is at least 19. Find the least possible
number that satisfies these conditions.

Answers

Answer:3

Step-by-step explanation:

5x3=15

15+4=19

the vertex angle of isosceles triangle is 110. what are the measures of the base angles

Answers

Two sides are equal in an isosceles triangle. This means that the angle both sides make with the third side must be the same. Since the angles in a triangle add up to 180°, you can subtract 110° from 180° and divide your answer by two. The resulting number will be the measure of each of the two unknown angles

Jason and Mateo went to eat at Sam's Sub Shop. They spent $12.25 for lunch plus 8% tax. If they split the bill evenly, what was the price that each person paid

Answers

Answer:

answer 26

ok now help me

solve pls brainliest

How can I use the scale factor to determine if a picture is an enlargement?

Answers

Answer:

You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.

Step-by-step explanation:

If you don’t answer it correctly then don’t mind answering

Answers

The answers are underneath each problem. The reason this makes sense is due to the distributive property.

27. GCF of 27 and 12 is 3

3(4+9)

28. GCF of 12 and 36 is 12

12(1+3)

29. GCF of 16 and 20 is 4

4(4+5)

30. GCF of 2x and 8 is 2

2(x+4)

31. GCF of 30 and 12x is 6

6(5+2x)

32. GCF of 42x and 49 is 7

7(6x+7)

To do this, find the GCF and then divide each number by so. Then, add them in parenthisis and multiply it by the GCF

Kendricks Kennel has 2 spots for cats for every 7 spots for dongs. If he has a total of 144 spots for both cats and dogs, how many more spots does he have for dogs than cats

Answers

i got 80 as 7-2=5 and 144/9=16 and 16x5=80

1
Find the indicated values for f(x) = -X.
-
a.
b.
f(0)
f(22)
f(-22)
C.
a.
f(0) =
=

Answers

Answer:

f(0) = 0

f(22) = 11

f(-22) = -11

Step-by-step explanation:

Substitute the values for x.

[tex]1.)~f(0)=1/2(0)=0\\\\2.)~f(22)=1/2(22)=11\\\\3.)~f(-22)=1/2(-22)=-11[/tex]

Help me

22 + 33 - 44 = ?

Answers

Answer:

22 + 33 = 55

55 - 44 = 11

hence 11 is the answer

Answer:

11 luv:)

Step-by-step explanation:

1.0.2217.9-(4.1 + 1.8)] -0.22+ [7.9 - 0.224

Answers

Answer:

hhhhhhhhhhhhhh

Step-by-step explanation:

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

2(3+x)=18 what does x equal please show work

Answers

2(3 + x) = 18 / : 2

3 + x = 9

x = 9 - 3

x = 6

Answer:

x = 6

Step-by-step explanation:

2(3 + x) = 18 ( divide both sides by 2 )

3 + x = 9 ( subtract 3 from both sides )

x = 6

(s – 7)^2= 0

then, what is the value of: (s-9)(s + 3)?

Answers

Answer:

s² - 6s - 27

Step-by-step explanation:

(s - 7)² = 0

s² + 49 - 14s = 0

Now,

(s - 9)(s + 3)

(s × s) + (s × 3) - (9 × s) - (9 × 3)

s² + 3s - 9s - 27

s² - 6s - 27

Which quadratic equation has roots -7 and -4?

Answers

Answer:

the given set of solutions {−7,4} is y=x2+3x−28 y = x 2 + 3 x - 28 .

make q the subject of the formula

Answers

Answer:

q = 2p - 1/3

Step-by-step explanation:

2q + 2p = 1+5q

2q = 1+5q-2p

-3q=1-2p

-q = 1-2p/3

q= 2p-1/3

Answer:

q=[tex]\frac{2p-1}{3}[/tex]

Step-by-step explanation:

2(q+p)=1+5q

EXPAND BRACKET

2q+2p=1+5q

MINUS 2q FROM BOTH SIDES

2p=1+3q

MINUS 1 FROM BOTH SIDES

2p-1=3q

DIVIDE BOTH SIDES BY 3

[tex]\frac{2p-1}{3}[/tex]=q

What is an expression for five less than y

Answers

Answer:

y - 5

Step-by-step explanation:

Answer:

y - 5

Step-by-step explanation:

To translate statements into expressions, we have to look for key terms. In this case, one key term is "five less." Five less means to subtract 5 from a certain quantity. When it says "five less than y," we're taking five away from y. In numerical form, it can be written as: y - 5.

Therefore, the expression is y - 5.

If −9x+10y=−10 is a true equation, what would be the value of −5(−9x+10y)?

Answers

Answer:

Answer A

Step-by-step explanation:

It gives the answer of 23.45

Write a story that could represent this math problem. 70 points

Answers

I have 5 bags of Totino Pizza Rolls. There are 3 pieces per bag. 1/3 of each bag is burnt.

Answer:

2/3+2/3+2/3+2/3+2/3

Step-by-step explanation:

Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 2. 7, negative 0. 9, 1. 1, 3. 2, 5. 4. The third column is labeled predicted with entries negative 2. 84, negative 0. 81, 1. 22, 3. 25, 5. 28. The fourth column is labeled residual value with all entries blank. Does the residual plot show that the line of best fit is appropriate for the data? No, the points are in a curved pattern. No, the points are evenly distributed about the x-axis. Yes, the points are in a linear pattern. Yes, the points have no pattern.

Answers

The residual of a regression is the difference between the actual value and the predicted value

The true statement about the residual plot is (c) Yes, the points are in a linear pattern

The entries are given as:

x Given Predicted Residual

1 -2.7 -2.84

2 -0.9 -0.81

3 1.1 1.22

4 3.2 3.25

5 5.4 5.28

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

So, the residuals of the 5 entries are:

[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]

[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]

[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]

[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]

[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]

So, the entries become:

x Given Predicted Residual

1 -2.7 -2.84 0.14

2 -0.9 -0.81 -0.09

3 1.1 1.22 -0.12

4 3.2 3.25 -0.05

5 5.4 5.28 0.12

See attachment for the residual plot.

From the plot, we can see that the points are in a linear pattern.

Hence, the true statement about the residual plot is (c)

Answers

i do not know but its something around number

A school staff meeting had 30 teachers in attendance, 60% of whom were first-year teachers. How many first-year teachers were in the meeting?

Answers

Answer:

I personally think the answer is because if the 60% of the teachers among 30 teachers were first-year teachers,then it would mean the other 40 % of the teachers were recent/ this year teachers.

Can someone please help me solve this

Answers

Answer:

Step-by-step explanation:

It saids evaluate given the three different functions below: The graph f(x), the equation g(x) and the table h(x)

you use a garden hose to fill a wading pool if the water level rise 12 centimeters every 5 minutes and you record the data point of (15,y) what is the value of y

Answers

15/3= 5
so 5 x 12 = 60

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