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?
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.
The actual product is unreasonable. It should be near 80 but less than 80 because both factors were rounded down.
The actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal.
The actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.

Answers

Answer 1

Answer:

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

Step-by-step explanation:


Related Questions

given:a || b m<2=3x+20 m<7=2x-10 find:m<3, m<6

Answers

Answer:

3(34) + 20 -> Angle 6 = 122

2(34) - 10 -> Angle 3 = 58

Step-by-step explanation:

Since measure of angle 2 is equal to measure of angle 6, and measure of angle 7 is equal to measure of angle 3, we can determine the angle measures for angle 3 and angle 6.

First, we solve for x by adding together the two equations and setting it equal to 180 because of the supplementary angles theorem.

3x + 20 + 2x - 10 = 180

Combine like terms.

5x + 10 = 180

Subtract 10, then divide by 5 on both sides.

5x = 170

x = 34

Now we can plug the x value into the equations.

3(34) + 20 -> Angle 6 = 122

2(34) - 10 -> Angle 3 = 58

#teamtrees #WAP (Water And Plant)

Answer: 48=19 X 2

Step-by-step explanation:

its allin the math

solve for p2. p1v1 = p2v2

Answers

Answer:

P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

Step-by-step explanation:

Given expression:

     Boyle's law:

             P₁ V₁   = P₂ V₂

Problem is to find P₂;

Solution:

              P₁ V₁   = P₂ V₂

 To solve this problem, multiply both sides by [tex]\frac{1}{V_{2} }[/tex];

         

   P₁ V₁  x   [tex]\frac{1}{V_{2} }[/tex]; = P₂ V₂  x  [tex]\frac{1}{V_{2} }[/tex];

     [tex]\frac{1}{V_{2} }[/tex] cancels out V₂ on the right hand side;

              P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

evaluate f (x) = -4x + 7 when x = 2 and x = -2

Answers

Answer:

- 1 and 15

Step-by-step explanation:

Substitute x = 2 and x = - 2 into f(x)

f(2) = - 4(2) + 7 = - 8 + 7 = - 1

f(- 2) = - 4(- 2) + 7 = 8 + 7 = 15

I DONT UNDERSTAND PLZZZ HELP

Answers

Answer:

PLZ MARK BRAINLIEST THE ANSWER IS 9

Step-by-step explanation:

the MPH is 45 miles per hour, 45 divided by 60=0.75. 0.75x12=9

Please be quick need it now

Answers

Answer:

b(8b+7)

trust meeeeeee

Answer: b(8b+7)

Explanation: it’s what I got so try it:) let me know if I got it right!

plz answer its due today!!

Answers

Answer:

-5/8

Step-by-step explanation:

The formula for the volume of a rectangle prism is V=lwh. Anna wants to make a cardboard box with a length of 7 inches, a width of 5 inches, and a volume of 210 cubic inches. Which variable does Anna need to solve for in order to build her box?

Answers

What do you mean by the box like what have you

[BRAINLIEST] To manufacture an automobile requires​ painting, drying, and polishing. Epsilon Motor Company produces three types of​ cars, the​ Delta, the​ Beta, and the Sigma. Each Delta requires hours for​ painting, hours for​ drying, and hours for polishing. A Beta requires hours for​ painting, hours for​ drying, and hours for​ polishing, and a Sigma requires hours for​ painting, for​ drying, and for polishing. If the company has hours for​ painting, hours for​ drying, and hours for polishing per​ month, how many of each type of car are​ produced?

Answers

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Solve y - 4 = 3x + 5y for y

Answers

Answer:

y=3x+8

Step-by-step explanation:

y-4=3x+5y

+4       +4

y=3x+5y+4

-5y    -5y

-4y=3x+4

+4       +4

y=3x+8

There are four defenders on a soccer team, if this represents 20 percent of the players on the team, which equation
can be used to find the total number of players on the team?
0.1
4x20 RO
100x 20" 200
20x25 500
20-5
4

Answers

Answer:

20% = 4 people

100% = 20 people

Step-by-step explanation:

There are a total of 20 players on the soccer team.

Two sides of a rectangle differ by 3.5cm.Find the dimensions of the rectangle if its perimeter is 67cm.
the answer should contain step by step and understandable explanation.

Answers

Answer:

Sides are x and x + 3.5 cm

Perimeter = 2(x + (x + 3.5))cm

4x +7 = 67

x = 15cm Answer

Step-by-step explanation:

HOPE THIS HELPED!

One side = x
The other side = x+3.5
Perimeter is 2(L*w)
Perimeter is 2(x + x + 3.5)
2(2x + 3.5) = 67
4x + 7 = 67
4x = 60, x = 15
15 + 3.5 = 18.5
One side is 15cm, the other side is 18.5 cm

Given the following set of data, what is the variance? [2 6 8 3 7 9 1 4]
A. 40
B. 5
C. 2.74
D. 7.5

Answers

The Answer is: D 7.5

The variance of the set  { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 } is 7.5

What is Variance?

Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value

Given data ,

The set S = { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 }

Step 1 :

To calculate the mean ,

Mean = Sum of Observations / Number of Observations

         = ( 2 + 6 + 8 + 3 + 7 + 9 + 1 + 4 ) / 8

         = 40 / 8

         = 5

Step 2 :

Take each difference from mean and square it

( 2 - 5 )² = 9

( 6 - 5 )² = 1

( 8 - 5 )² = 9

( 3 - 5 )² = 4

( 7 - 5)² = 4

( 9 - 5 )² = 16

( 1 - 5 )² = 16

( 4 - 5 )² = 1

And Sum of 9 + 1 + 9 + 4 + 4 + 16 + 16 + 1 = 60

Step 3 :

Variance = The mean of squared difference

               = 60 / 8

               = 7.5

Hence , the variance is 7.5

To learn more about variance click :

https://brainly.com/question/13041243

#SPJ2

Given the function defined in the table below, find the average rate of change, in simplest form, or the function over the interval 20

Answers

Answer:

Average rate of change = 0.4

Step-by-step explanation:

Average rate of change of a function in the interval [a, b] is defined by the formula,

Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

From the table attached,

Rate of change of the function in the interval 20 ≤ x ≤ 40 will be

= [tex]\frac{f(40)-f(20)}{40-20}[/tex]

= [tex]\frac{24-16}{40-20}[/tex]

= [tex]\frac{8}{20}[/tex]

= [tex]\frac{2}{5}[/tex]

= 0.4

Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4



Joan has started a physical fitness program. One of her goals is to be able to run at least 5

miles without stopping. She can now run 3.5 miles without stopping. How many more

miles must she run non-stop to achieve her goal?

Answers

Answer:

1.5 miles

Step-by-step explanation:

Since Joan need to run 5 miles without stopping and already runs 3.5 miles without stopping, the number of miles more she must run non-stop to achieve her goal of 5 miles without stopping is the difference between her 5 mile goal and her current run of 3.5 miles.

So, number of miles she must run = 5 miles - 3.5 miles = 1.5 miles.

So, Joan must run 1.5 miles more non-stop to achieve her goal.

The triangle and the rectangle have the same area

Answers

Answer:

w =2.5

Step-by-step explanation:

the area of the triangle is 6*5 divided by half which is 15. this means that the area of the rectangle is also 15. so to find the value of the width we have to divide the area by the known value to get our answer. 15/6 is equal to 2.5 so that's what the value of w is.

8.
Find the distance between points A and B, if Ais (-1,-2) and B is (8,10).

Answers

Answer:

15 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(- 1, - 2) and (x₂, y₂ ) = B(8, 10)

d = [tex]\sqrt{(8+1)^2}+(10+2)^2[/tex]

   = [tex]\sqrt{9^2+12^2}[/tex]

    = [tex]\sqrt{81+144}[/tex]

    = [tex]\sqrt{225}[/tex]

    = 15

PLEASE HELP! I SEARCH UP THE ANSWER ON BRAINLY BUT EVERYONE IS SAYING ITS SOMETHING ELSE. 1 PERSON SAID D ONE SAID A ONE SAID C. SO I DONT KNOW WHICH ONE IS THE ACTUAL ONE! SO PLZ ANSWER WITH THE RIGHT ANSWER! :)
The value of a rare painting has increased each year since it was found at a garage sale. The value of the painting is modeled by the function f(x) = 799(1.03)x. What does the 799 represent? What will the painting be worth after five years? Round your answer to the nearest dollar.

799 represents the value of the painting when it was found; the painting will be worth $926 after five years.
799 represents the increase in the value of the painting; the painting will be worth $103 after five years.
799 represents the value of the painting when it was found; the painting will be worth $804 after five years.
799 represents the total value of the painting; the painting will be worth $926 after five years.

Answers

799 represents the value of the painting when it was found; the painting will be worth $926 after 5 years.

Plugging the values into the formula, you would get f(x) = 799(1.03)^5. Evaluate, and you should find the answer.

Answer:

its A.!!!!

Step-by-step explanation:

Help please ASAPP before 2:00

Answers

Answer

1 is 21 2 is 102 3 is 58 4 is 41 5 is 21 6 62

Step-by-step explanation:

pls mark brainliest

Answer:

7. 21

8. 102

9. 58

10. 41

11. 21

12. 62

Step-by-step explanation:

What would the sum of the interior angles of a 10 sided regular polygon shape be?
Select one:
O a. 360
O b. 1,004
O C. 1,800
O d. 1,440

Answers

if im correct it should be 1800

you would use the equation 360(n/2)

or 360(10/2) or 1800

If you bought a stock last year for a price of $147, and it has risen 17.9% since then, how much is the stock worth now, to the nearest cent

Answers

Answer:

This is an percentage question, meaning you have to calculate the percentage rise.

1) Do 147 * 17.9% (Which equals to 26.3 [1.d.p.])

2) 26.3 is the answer

Hope it helps! :D

John is cutting a 10-foot long piece of pipe into lengths of 2/3 foot. How many pieces of pipe with this length can he cut? * Will give brainliest

Answers

Answer:

2.5

Step-by-step explanation:

you do 10 divided by 2/3

solve for x pls help

Answers

Answer:

23

Step-by-step explanation:

51+(2x+3)=100

54+2x=100

-54         -54

2x=46

x=23

What is the measure of ZB?
20
25
O A. 60
B. 25°
O C. Cannot be determined
D. 75°

Answers

A. 60

Step-by-step explanation:

ZA + ZB + ZC = 180°

180° ÷ 3 = 60°

A. 60°

its an equilateral bc all the sides are the same, meaning that all of the angles would be equal. all triangles add up to 180°, and 60 times 3 is 180°

A scale John on the map shows that 1 inch represents 20 miles If 2 cities are 2.5" apart On the map what is the distance between them and real life

Answers

Answer:

50 miles

Step-by-step explanation:

If one inch is 20 miles do 2 times 20 you get 40. it’s .5 so half and half of 20 is ten, add it up and you get 50.

Answer:

50 miles

Step-by-step explanation:

what did you get for Black Friday

Answers

Answer:

Nothing :(

Step-by-step explanation:

No money :(

Answer:

HOPE IT MAY HELP YOU

Step-by-step explanation:

Black Friday is an informal name for the Friday following Thanksgiving Day in the United States, which is celebrated on the fourth Thursday of November. ... Many stores offer highly promoted sales on Black Friday and open very early, such as at midnight, or may even start their sales at some time on Thanksgiving.

please help. i would rly appreciate it. :/

Answers

No, they’re not parallel they’re perpendicular if you were to graph them this is what you’d get

What does is equivalent to 3 5/6?

Answers

Answer:

equivalent fractions of 3/5 are 6/10, 9/15 and 12/20.

Step-by-step explanation:

hope this helped! have a good day<3

what is the equation of the line in slope intercept form

Answers

Answer:

y=x+20

Step-by-step explanation:

Which equation can you use to solve the following problem?
A group of 168 students is on a field trip. They are doing a ropes course at a local camp.
If 8 students can start the ropes course together at one time, how many groups will the students form to go through the course?

Answers

Answer is 21. 168/8, 168 students divided by 8 groups would be 21.

Answer:

21

Step-by-step explanation:

168 divided by 8


A cubical wooden block of length 12 cm is cut into 8 equal cubical pieces. Find the length of edge of each piece.​

Answers

Answer:

6cm

Step-by-step explanation:

volume of a cubical wooden block

= 12×12×12

= 1728

volume of cubical pieces

= 1728÷8

= 216

length of edge of piece

= square root of 216

= 6cm

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