Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?

Answers

Answer 1

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer 2

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:


Related Questions

**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?​

Answers

june 22 the declination reaches a maximum of 24.45° on june 22 summer solstice in the northern hemisphere and a minimum of -23.45 on december 21-22 winter solstice in the northern hemisphere. the sun, the moon, the planets and the stars all rise in the east and set in the west. and that’s because earth spins towards the east


What is the solution to the equation 7,- 5* ++5
-
16
ff - 25?
h = 11
3
h = 5
h = 7
6
21
2

Answers

Answer:

the answer to the problem is h=7

a cruise ship sailed for 9 hours at a speed of 18 miles per hour how far did a cruise ship sell ​

Answers

Answer:

162 miles

Step-by-step explanation:

Step 1:

9 : 18          Rate

Step 2:

9 × 18        Equation

Answer:

162 miles        Multiply

Hope This Helps :)

Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?

Answers

Answer:

I think its 3/2

hope it will help you

Identify next 3 numbers in this sequence 2,6,3,9,6,18,15

Answers

i know that so far it goes +4, -3, +6, -3, +12, -3, ? i’m not really sure but it COULD be 19, 16, 22?

The manager of a restaurant determined that the odds against a customer ordering dessert are 11/12 . What is the probability of a customer ordering dessert?

Answers

Answer:

1 out of 12

Step-by-step explanation:

12-11=1

Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent
change from last year to this year?
A
An increase of 10%
B
A decrease of 10%
С
An increase of 20%
D
A decrease of 20%

Answers

Answer:

C. An increase of 20%

Step-by-step explanation:

50/100 = 60/x

Cross products

50 x  =  6000

Divide 50 by both sides

x  =  120

60 is 120% of 50, so there is a 20% increase

Hope this helps!

-Jerc

A regional office of the Internal Revenue Service randomly distributes returns to be audited to the pool of auditors. Over the thousands of returns audited last year, the average amount of extra taxes collected was $356 per audited return. One of the auditors, Jeffrey Jones, is suspected of being too lenient with persons whose returns are being audited. For a simple random sample of 30 of the returns audited by Mr. Jones last year, an average of $340 in extra taxes was collected.

Required:
Assuming a normal population of extra taxes collected with a standard deviation of $90, do the suspicions against Mr. Jones appear to be justified?

Answers

Answer:

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu  =  \$ 356[/tex]

    The sample  size is n  =  30  

     The sample mean is [tex]\= x = \$340[/tex]

    The standard deviation is  [tex]\sigma =  \$ 90[/tex]

    The  null hypothesis is [tex]H_o  :  \mu =  \$ 35 6[/tex]

     The alternative hypothesis is   [tex]H_a  :  \mu \ne  \$ 35 6[/tex]

Let assume the significance level is [tex]\alpha = 0.05[/tex]

Generally the test statistic is mathematically represented as

     [tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>  [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]

=>  [tex]t =-0.9737 [/tex]

Generally the sample size from the question is  small that it is not greater than 30  hence we use t-test

Now the degree of freedom is mathematically represented as

     [tex]df =  n- 1[/tex]

=>   [tex]df =  30- 1[/tex]

=>   [tex]df= 29[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value =  2 P (t >  -0.9737 )[/tex]

Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of  [tex]df= 29[/tex] for a two -tailed  test  is

     [tex]P (t >  -0.9737 ) =  0.33825793[/tex]

Hence p-value  is  

     [tex]p-value =  2*0.33825793[/tex]

      [tex]p-value =  0.676 [/tex]

From the value we obtained we see that  [tex]p-value  >  \alpha[/tex] hence

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Help!!! ASAP!!!
The sum of the areas of a polyhedron’s face is

A: Its perimeter divide by two.
B: its surface area.
C: its volume
D: non of these

Answers

Answer: The sum of the area of it's faces

Step-by-step explanation: its the surafce area.

Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving

What do the points on the graph mean in this context? Select all that apply.

For every 3 cups of fruit, there is 1 cup of nuts.

For every 1 cup of fruit, there are 3 cups of nuts.

For every 2 cups of fruit, there are 6 cups of nuts.

For every 6 cups of fruit, there are 2 cups of nuts.

For every 12 cups of fruit, there are 4 cups of nuts.

Answers

Answer: 1st, 4th & 5th .

Answer:

1st, 4th, and 5th

Step-by-step explanation:

Find the equation of a line through (-9, 2) perpendicular to y=3x-12
1 point
y=-1/3x-1
y=3x-1
y=1/3x+4
y=-3x-1

Answers

9514 1404 393

Answer:

  y = -1/3x -1

Step-by-step explanation:

The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...

  m = -1/3

Only one answer choice has that value as the coefficient of x:

  y = -1/3x -1

help me please thank you​

Answers

24 blueberries. 24:60=2:5

People living in a society where one person rules by force have which type of government?

Answers

Answer:

An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.

Hope this helps please give me brainliest!

God bless!

An autocracy.

An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.

Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on

her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,

0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the

first light is red, and let R2 denote the event that the second light is red.

a) Determine the probability that at least one light will be red. (Show how you calculate this.)

b) Determine the conditional probability that the second light will be red given that the first light is

red. (Show how you calculate this.)

c) Are the events R1 and R2 independent? Justify your answer numerically.

d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.

Answers

Answer:

Explained below.

Step-by-step explanation:

The information provided is,

P (R₁) = 0.35

P (R₂) = 0.45

P (R₁ ∩ R₂) = 0.20

(a)

Compute the probability that at least one light will be red as follows:

P (at least one light will be red) = P (R₁ ∪ R₂)

                                                    = P (R₁) + P (R₂) - P (R₁ ∩ R₂)

                                                    = 0.35 + 0.45 - 0.20

                                                    = 0.60

Thus, the probability that at least one light will be red is 0.60.

(b)

Compute the conditional probability that the second light will be red given that the first light is red as follows:

[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]

                [tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]

Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.

(c)

If two events, say A and B are independent then:

P (A|B) = P (A).

The value of P (R₂ | R₁) = 0.57.

And the value of P (R₂) = 0.45

P (R₂ | R₁) ≠ P (R₂)

Thus, the events R₁ and R₂ are not independent.

(d)

If two events, say A and B are mutually exclusive then:

P (A ∩ B) = 0

The value of P (R₁ ∩ R₂) = 0.20.

Thus, the events R₁ and R₂ are not mutually exclusive.

Help me out please I need help

Answers

it would be 7ounces/minute

you just need to figure out what the difference of an hour and a minute is. an hour=60 minutes so you would want to divide 420 by 60 to get your answer
420/60=7 so seven ounces per min.

Express the percent as a decimal. { 98% }

Answers

Answer:

98.

Step-by-step explanation:

Answer:

0.98 would be the 98% as a decimal

4 Rosie has 150 caramel
apples to sell. Each caramel apple is covered with one topping.
of the caramel apples are covered with peanuts.
are covered with chocolate chips.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
F
50
G 80
H 70
J 30
7.3B

Answers

Answer:

I'd say 50

Step-by-step explanation:

I just divided 150 by 3 since I only saw 3 toppings.

Rewrite the expression by factoring out (w-7).
3w2(w– 7) - 5(w-7)

Answers

(W-7)(3w^2-5)
I think this is what they mean by factoring it out

Question 1
1 pts
The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting
for x hours. How much money will he make for 2 hours of babysitting work?
2.
0-2
O-3
O 18

Answers

Answer:

18 would be yr answer

Step-by-step explanation:

Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26

Answers

Answer:

d,e

Step-by-step explanation:

rational numbers are positive and negative whole numbers.

Answer:

d,e

Step-by-step explanation:

A young reptile is 0.6 foot long. An adult reptile is 19.5 times as long. How many feet longer is the adult reptile than the young reptile?

Answers

0.6ft x 19.5 = 11.7 ft
11.7ft-0.6ft = 11.1 ft
answer is 11.1 ft longer

20x+x-2=4 rational equation​

Answers

Answer:

x = 2/7

Step-by-step explanation:

Step 1: Write equation

20x + x - 2 = 4

Step 2: Solve for x

Combine like terms: 21x - 2 = 4Add 2 to both sides: 21x = 6Divide both sides by 21: x = 6/21Simplify: x = 2/7

Step 3: Check

Plug in x to verify it's a solution.

20(2/7) + 2/7 - 2 = 4

40/7 + 2/7 - 2 = 4

42/7 - 2 = 4

6 - 2 = 4

4 = 4

Answer:

x = 2/7

Step-by-step explanation:

Collect like terms:

20x + x = 21x ----> 21x - 2= 4

Move the constant to the right hand side and change the sign of the constant:

21x = 4 + 2

Calculate:

21x = 4 + 2 ---> 21x = 6

Divide both sides by 21:

21/21 and 6/21 = 2/7

Solution:

x = 2/7 or x= 0.285714

The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.

Answers

Answer:

Domain=All Real Numbers Range=y>2

Step-by-step explanation:

Since the graph expands infinitely across the x axis it is all real numbers

Since the Y covers all the numbers above 2 it is y>2

Analyzing a Linear Function Expressed in Different Ways Choose the true statements. A linear function is expressed by a graph of a line that crosses both axes at the origin. An equation is written in slope-intercept form to express the same function as shown in the graph. From just this information, what statements can be made? A) The slope of the equation must be positive. B)The y-intercept of the equation is zero. C) It is possible that the line on the graph is horizontal. D) The slope of the equation must be negative.​

Answers

Answer: The answer is option B and option C.

Answer:

B and C

Step-by-step explanation:

Shen is on the swim team. Each week he swims a total of 5000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer.

Answers

Answer:

5 km

Step-by-step explanation:

to convert m to km you have to divide by 1000.

5000/1000=5

hope this helps!

Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m

Answers

Answer:

8 x m = 45

Step-by-step explanation:

cassie has 9 times which means multiplcation so its the first one

Please help ASAP! All questions.

Answers

Answer:

I think i don't really know its been awhile for me.

Step-by-step explanation:

But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.

I may not be right.

So please don't hate i tried.

By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)

help plz brainless you help me

Answers

Answer:

24.85 or rounded to 24.9

Step-by-step explanation:

Conversion

K H D____D C M

The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.

Calculation of the number of miles:

Since

By the end of Tina’s bike ride, she traveled a distance of 40 kilometers.

And we know that

1 mile ≈ 1.6 kilometers

So,

[tex]= 40 \div 1.6[/tex]

= 25 miles

hence, The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.

Learn more about miles here: https://brainly.com/question/13208356

what does they y represent in the equation y=mx+b​

Answers

Answer:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

What does it mean to divide a number by
a fraction (e.g., ¾)?

Answers

Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.

Step-by-step explanation:

For example:

Lets say we wanted to divide 8 by 3/4

8÷[tex]\frac{3}{4}[/tex]

Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)

8 ·[tex]\frac{4}{3}[/tex]

Now, just multiply and reduce/simplify the fraction if needed

Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce

Hope that helps!!

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The Arts and Crafts movement was a type of rebellion to the over elaborate designs of the past, as it adopted more of a simplistic strategy. What do you think is the most important contribution the Arts and Crafts movement made to architecture and design, and why? (you better give a good answer im offering 35 points) what are the elements and principles of arts present in this illustration? can anybody help me with my geo hw problem I OFFER 100 POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!! HELP ASAPIn recent years, many Arab and African migrants have braved the waters of the Mediterranean to find a better life in southern European countries like Spain. According to the article, how has the migration of people from Africa affected Spain socially, economically, and politically? (Please make sure to use full sentences and don't use words like: they) ( Identify the coefficients: -3h - 2h + 6h +9 Is 8.25 greater, equal or less than 8.250 Evaluate p+(q)2p Nell and Kirby are in the process of negotiating their divorce agreement. What should be the tax consequences to Nell and Kirby if the following, considered individually, became part of the agreement? a. In consideration for her one-half interest in their personal residence, Kirby will transfer to Nell stock with a value of $200,000 and $50,000 of cash. Kirby's cost of the stock was $150,000, and the value of the personal residence is $500,000. They purchased the residence three years ago for $300,000. Nell's basis for the stock is _______$ X Kirby's basis in the house is ______$ X b. Nell will receive $1,000 per month for 120 months. If she dies before receiving all 120 payments, the remaining payments will be made to her estate. The payments (qualify, do not qualify) as alimony and are (included in, excluded from) Nell's gross income as they are received. c. Nell is to have custody of their 12-year-old son, Bobby. She is to receive $1,200 per month until Bobby (1) dies or (2) attains age 21 (whichever occurs first). After either of these events occurs, Nell will receive only $300 per month for the remainder of her life. $ X per month is alimony that is (included in, excluded from) Nell's gross income, and the remaining $ X per month is considered(child support, property settlement) and is (nontaxable, taxable) to Nell. HELP!!!!!!!!!!!!!!!!!!!!!!!! Proteins build up, maintain and replace the tissues in your body.true false a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s -4( -3 )+ (6-2)/64 = ? Solve for x and y, please help! Which country on the map is also a continent?AlaskaAustraliaAfricaAmerica The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue? Questions my teacher asked me that are on my SAT exam. Why do we wait until night to 'call it a day?'How does turbulence work?How do we store and retrieve memories?Why do we dream? that doesn't give the answer a.15. What was the primary consequence of the War of 1812?Boost in American nationalismb. Addition of western territoryC. Collapse of the Bank of the United Statesd. Defeat of the Republican Party Match each novel description to the fiction genre it belongs to. Scientists have a theory about the relationship between climate and biodiversity. Which best describes this theory?Warmer climates promote higher biodiversity, allowing plants to grow year-round. This supports more organisms that rely on plants.Colder climates promote higher biodiversity, reducing the competition among organisms for food. This supports stronger organisms that live longer.Warmer climates promote higher biodiversity because they tend to receive more rainfall. This provides a source of water for more organisms.Colder climates promote higher biodiversity because they are usually larger in size. This provides space for more organisms.