You may use any notes from class or past assignments on this assessment. You may also use a
calculator. You may not look up any answers on the internet or use anyone else's work.
1.
The equation m=40g gives the distance in miles, m, that a car can travel using g gallons
of gas.
a. If the car has gone 140 miles, how much gas was used?
b. Write an equation that represents the inverse function: the gallons of gas as a
function of distance in miles.
Function C is defined by the equation cov) = 50 + 4y It mives the month con

Answers

Answer 1
Part a is 3.5 gallons

Related Questions

12. Write the EQUATION for 125 is what percent of 200.
A 125 = p x 200
B 125 = p/200
C 125/p = 200
D 125 = 200/2

Answers

Answer:

Step-by-step explanation:

125 =200p

125/p=200

So the answer is option D

The correct equation for 125 is what percent of 200 is:

C (125/p = 200).

To write the equation for 125 is what percent of 200, follow these steps:

Step 1: Identify the unknown value.

In this case, looking for the percent, which can represent as p.

Step 2: Set up the equation.

To express the relationship between 125 and 200 as a percent, use the equation: 125 = p/100 * 200.

Step 3: Simplify the equation.

To simplify, divide both sides of the equation by 200 to isolate p:

125/200 = p/100

Step 4: Simplify further.

To simplify the left side, divide both the numerator and denominator by 25:

5/8 = p/100

Step 5: Rewrite the equation.

Finally, rewrite the equation as:

125/p = 200

Therefore, the correct equation for 125 is what percent of 200 is:

C (125/p = 200).

Learn more about Percent there:

https://brainly.com/question/32354884

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The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the line tangent to the graph of f at x=−1 ?

Answers

Answer:

The equation of the line tangent to the graph of f at x = -1 is [tex]y = 7\cdot x +13[/tex].

Step-by-step explanation:

From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - Intercept, dimensionless.

The slope of the tangent line at [tex]x = -1[/tex] is:

[tex]f'(x) = -3\cdot x +4[/tex] (2)

[tex]f'(-1) = -3\cdot (-1) +4[/tex]

[tex]f'(-1) = 7[/tex]

If we know that [tex]m = 7[/tex], [tex]x = -1[/tex] and [tex]y = 6[/tex], then the intercept of the equation of the line is:

[tex]b = y-m\cdot x[/tex]

[tex]b = 6-(7)\cdot (-1)[/tex]

[tex]b = 13[/tex]

The equation of the line tangent to the graph of f at x = -1 is [tex]y = 7\cdot x +13[/tex].



Tony is spending money at a constant rate. Suppose he initially has $1000, and after 4 months, he has $760,

Which of these expresses the rate at which Tony's amount of money is changing?

Answers

Answer:

$60 monthly

Step-by-step explanation:

Step one:

The initial amount that Tony has= $1000

final amount =$760

amount spent= 1000-760= $240

time taken is 4 months

Step two:

Required:

the rate of spending

we know that rate= quantity/time

rate= 240/4

rate= $60 per month

Hence Tony's amount is changing at $60 monthly

Answer: -60

Step-by-step explanation:

Why is the distributive property important in solving equations?

Answers

Distributive property allows us to simplify equations and make it easier to simplify unknown variables

Answer:

it helps simplify difficult problems . it breaks down expressions into the difference or the sum

of two numbers.

Please help me asap this was due 5 days ago

Answers

Answer:

do 9.60 divided by 12

Step-by-step explanation:

Answer:

$0.80

Step-by-step explanation:

All that is needed for finding this answer is 9.60 ÷ 12 which gets us 0.80.

simplify 32 L : 56L with whole numerator and denominator

Answers

Answer:

4L/7L

Step-by-step explanation:

32:56 is the same as 32/56

They can be divided by a maximum of 8

32/8=4

56/4=7

4/7

Please hurry. Please

Answers

Answer:

yes

Step-by-step explanation:

12p<=56

12*3<=56

36<=56

Correct.

Hope this helps :D

A quadratic equation is written as a system of two quadratic functions. Select the number of possible ways the graphs can intersect.

Answers

Answer:

can I see the opinions and I will come

Step-by-step explanation:

back and edit my question and answer it for you

Answer:

0, 1, 2, infinite

Step-by-step explanation:

4) What are all the subsets of (3, 5, 7)?

Answers

ANSWER: 1 is a subset of 3,5,7

Answer:

X=(0,3) (3,0) Y=(0,5)(5,0) Z=(7,0) (0,7)

Step-by-step explanation:

suppose ,3=x ,5=y and 7=z

0 is the common number

The sum of two numbers is 12.
When three times the first number is added to 5 times the second number, the result is 44.
Find the two numbers.
A 9 and 3
B) 8 and 4
C) 10 and 2
D) 7 and 5

Answers

Answer:

b

Step-by-step explanation:

8*3

=24

4*5

=20

20+24

=44

Whats the slope and how do i / where do i graph it

Answers

Slope (y2-y1)/(x2-x1)
Pick any random points
(1,0) and (0,3)
(3-0)/(0-1) = 3/-1 = -3
The slope is -3
It is already graphed?

Answer:

The slope is 3. graph it every time the line hits an exact point

Step-by-step explanation:

hvfygcicgdigcigcicticigcdbgvbug​

Answers

Answer:

This is a hw site pls dont post this, if you dont need help. I dont want your account to be deleted. :) Hope u have a great day tho, but in the future dont post this.

Step-by-step explanation:

What is the slope-intercept form of a line that contains the point (0,3) and a slope =-2?

PLZ HELPP MEEE!!

Answers

Answer:

C.

Step-by-step explanation:

-2 is in front of x so thats gonna be the slope

and +3 is the y-intercept

8


Find the circumference of the circle pictured above.

Round your answer to the nearest tenth

Answers

I’m guessing 8 is the radius so the formula is 2pi(r)

And when you plug in 8 into r you have 2pi(8)

When you solve it you should get 50.24

Can you pls mark brainleist

A weighted coin has a 0.599 probability of landing on heads. What is the probability that it takes 5 flips for the first head to occur?

Answers

Answer:

0.411^5 times 0.599

Step-by-step explanation:

0.599 chance of landing on heads.

0.411 chance of not landing on heads.

0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).

Algebra!!!
3 Questions Only take if you know ALL Answers
PLZZZ QUICK

Answers

Answer:

1. -7.5

2. $1

3. 40

Step-by-step explanation:

For number 1, it can be solved by using the PEMDAS method, or see explanation below:

6x - 4x - 36 = 6 - 2x

2x - 36= -2x + 6

4x + 36 = 6

4x = -30

x = -15/2 or -7.5

For number 2, substitute 3 into both equations:

f(x) =1.50(3) + 2.00

and

f(x) = 2.00(3) + 1.50

This would get $6.50 and $7.50, which, if subtracted, gets $1.

For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.

Hope this helps!

6 x +4 + 10x - 9 + 8x - 7=

Answers

Answer:

24x - 12

Step-by-step explanation:

6x + 4 + 10x - 9 + 8x - 7

6x + 10x + 8x + 4 - 9 - 7

24x - 12

1.5 m =_____ cm
a 15
b 0.015
c 1.5
d 150

Answers

Answer:

150

Step-by-step explanation:

Answer:

D.)150

Step-by-step explanation:

Hope I helped

help pls
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29

Answers

Answer:

       

Step-by-step explanation:

I needs help with this question pls

Answers

Answer:

Is it A

Step-by-step explanation:

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9

Required:
Develop a confidence interval estimate of the population mean rating for Miami.

Answers

Answer: 6.8622 ; 8.1778

Step-by-step explanation:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤μ≤ (mean + E)

(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

The mean age of several boys in a class is 12. The total is 156. How
many boys are there?

Answers

Answer:

13

Step-by-step explanation:

156/12

So to get the answer we would divide 156 by 12 as it’s the mean which would give us 13

Please help ASAP due soon I need help

Answers

Answer:  18

Step-by-step explanatio    18

if 'HOPE' is called 3, ' GOVERNMENT' is called 9, ' PEACEFUL' is called 7, what would HAPPINESS 'be called??​

Answers

Answer:

8

Step-by-step explanation:

Identifying the Pattern:

We are told that 'HOPE' is called 3

we can see that there are 4 characters in the word HOPE

So, we can see that the number is one less than the number of characters in the given word

Let's see if the observation we made still holds for the other Words:

We are also told that 'GOVERNMENT' is called 9

the number of characters = 10

Here, we once again notice that the code number is one less than the number of characters in our word

We are Given that 'PEACEFUL' is called 7

the number of characters = 8

Once again, our observation holds true

Hence, our observation holds true for all the words

Therefore, we can say with certainty that the pattern is:

code number = (number of characters of the word) - 1

Code number for 'HAPPINESS':

from the above, we know that:

code number = (number of characters of the word) - 1

we can see that 'HAPPINESS' has 9 words, plugging that value:

code number = 9 - 1

code number for 'HAPPINESS' = 8

answer fast!!!
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students filled 32% of the seats in the theater. How many 6th graders went on the trip?

Answers

Answer:

992

Step-by-step explanation:

Answer:

38%

Step-by-step explanation:

1178 / 3100 = 0.38

38%

Which one are functions

Answers

Answer:

A

Step-by-step explanation:

PLEASE MARK BRAINLIEST IT WILL HELP SM

Answer:

its hard to see but I think all of them except the first and the last ones r

Step-by-step explanation:

an x can't repeat

5(2y-3)-4y=8-2y-15
Justify each step with a property of algebra. Drag the property to the correct row.

Answers

The answer is Y=1
5(2y-3)-3y=8-2y-15
10y-15-4y=8-2y-15
4y= 4y
———————————-
10y-15= 8+2y-15
15= 15
———————————
10y= 8+2y
-2y= -2y
———————————-
8y=8
—— —-
8 8
Y=1

How would you graph the solution to 3x ≤ -15?

Draw an open circle on -5 and shade to the left.
Draw an open circle on -5 and shade to the right.
Draw a closed circle on -5 and shade to the left.
Draw a closed circle on -5 and shade to the right.

Answers

Answer: C) Closed circle at -5; shading to the left

The given inequality [tex]3x \le -15[/tex] solves to [tex]x \le -5[/tex] when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.

The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say [tex]x < -5[/tex] and use an open circle; but that's not the case here.

Answer:

C) Closed circle at -5; shading to the left

Step-by-step explanation:

20 points.Cynthia has a bag of jellybeans. There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag. Cynthia grabs two jellybeans and gives them to her friend, Pedro, and he eats them. What is the probability that she gives him two red jellybeans?

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.

Step-by-step explanation:

Pretty much, dependent means it can’t be replaced and independent means it can be replaced.

I'm doing system of equations and I have to solve using substitution

the equations are y=5x and xy=45​

Answers

Plug in 5x for y
x(5x) = 45
5x^2 = 45
Divide by 5
x^2 = 9
X = 3

Answer: +3, -3

Step-by-step explanation:

ok so all you need to do is plug in that first equation into the second one.

x(5x) = 45

5x^2 = 45

x^2 = 9

x     = +3, -3

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