A student solved this problem and said the answer was 5 1 4 14 miles. Danielle ran 3 1 8 18 miles on Tuesday, 4 1 2 12 miles on Wednesday, and 5 1 4 14 miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable? No, the answer is not reasonable. It should be about 13 miles. Yes, the answer is reasonable. No, the answer is not reasonable. It should be about 2 miles. No, the answer is not reasonable. It should be about 20 miles.

Answers

Answer 1

Question

A student solved this problem and said the answer was [tex]5\frac{1}{4}[/tex] miles. Danielle ran [tex]3\frac{1}{8}[/tex] miles on Tuesday, [tex]4\frac{1}{2}[/tex] miles on Wednesday, and [tex]5\frac{1}{4}[/tex] miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable?

- No, the answer is not reasonable. It should be about 13 miles.

- Yes, the answer is reasonable.

- No, the answer is not reasonable. It should be about 2 miles.

- No, the answer is not reasonable. It should be about 20 miles.

Answer:

- No, the answer is not reasonable. It should be about 13 miles.

Step-by-step explanation:

Given

Student solution = [tex]5\frac{1}{4}[/tex] miles.

Miles covered on Tuesday = [tex]3\frac{1}{8}[/tex] miles

Miles covered on Wednesday = [tex]4\frac{1}{2}[/tex] miles

Miles covered on Thursday = [tex]5\frac{1}{4}[/tex] miles

Required

- Total distance covered by the student

- Is the student answer reasonable?

To calculate the actual distance covered by Danielle, we simply add the distance covered on each day,

This goes thus

Distance = [tex]3\frac{1}{8}[/tex] + [tex]4\frac{1}{2}[/tex] + [tex]5\frac{1}{4}[/tex]

Convert to Improper Fractions

Distance = [tex]\frac{25}{8}[/tex] + [tex]\frac{9}{2}[/tex] + [tex]\frac{21}{4}[/tex]

Take LCM

Distance = [tex]\frac{25 + 36 + 42}{8}[/tex]

Distance = [tex]\frac{103}{8}[/tex]

Distance = 12.875

From the calculations above, we can conclude that the student's answe is not reasonable because his calculation ([tex]5\frac{1}{4}[/tex] miles) is much more smaller than the actual result 12.875 miles

From option A through D, Only option A is correct because 12.875 miles cam be approximated to 13 miles.

Hence,

A. - No, the answer is not reasonable. It should be about 13 miles.

is the right answer


Related Questions

I need help finding the slope and y-Intercept

Answers

Answer:

You Do y= mx+b

Step-by-step explanation:

Answer:

y-intercept is 2 because line passes through (0,2) and the slope is 3.

The equation of this line is y=3x+2.

What is 1/8% of 1000

Answers

Answer:

12500

Step-by-step explanation:

1/8%x1000=12500

Answer:

125

Step-by-step explanation:

1000÷8=125

Complete the equation and solve the problem. Let n be the number of students in each row. There are 37 students in the marching band. There are 5 students in the first row, and the rest are in 4 equal rows. How many students are in each of the 4 rows?

Answers

Answer:

37 - 5 = 32

32/4 = 8

8 students are in each of the 4 rows

Answer: there are 8 students in each of the 4 equal rows

Step-by-step explanation:

x = # of students in each of the 4 rows

4x + 5 = 37

4x = 32

x = 8

There are 8 students in each of the 4 rows.

You can check this:

4 rows of 8 students —> 4(8) = 32 students

+ 5 students in the first row

= 37 students total

A triangle has the angle measurements of 62 degrees and 91 degrees. What is the measurement of the third angle?
a
b
29 degrees
153 degrees
27 degrees
180 degrees
С
d

Answers

Answer:

27

Step-by-step explanation:

180 is always the total of the triangle measurements. Therefore,

180-(91+62)=27

Answer:

27°

Step-by-step explanation:

A triangle is 180 degrees

So you begin with what you know 91 degrees and 62degrees

So 180-91-62=27degrees

So your answer is 27degrees

Solve the right triangle, AABC, for the missing side and angles to the nearest
tenth given sides a = 14.9 and b = 17.5.

Answers

Answer:

The missing side is 22.98, or rounded to the nearest tenth, 23

The angles are 90, 40.37, and 49.63

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem;

[tex]a^2 + b^2 = c^2[/tex]

Since a = 14.9 and b= 17.5, we need to find the missing side, or c

[tex]14.9^2 + 17.5 ^2 = c^2[/tex]

Using a calculator this gives us;

528.26 = [tex]c^2[/tex]

Now to undo [tex]c^2[/tex], we have to square root both sides

[tex]\sqrt{528.26} = \sqrt{c^2}[/tex]

22.98 = c

Now to round to the nearest tenth, we know that .9 is greater than 5, so we can round 22.98 to 23

Now to find the angles.

We know that the triangle has a hypotenuse of 23, a short side of 14.9 and a long side of 17.5.

I labeled the side opposite of 14.9, x, and I will use sin to solve for the angle.

We know that sin= opposite/hypotenuse

So, sin(x)=14.9/23

Since we want to find the angle we must use the inverse of the trig function.

[tex]sin^-^1[/tex](14.9/23) = x

By using a calculator we get

x=40.37

Now since we know that this is a right triangle, we have a 90 degree angle.

So, we can subtract from 180 to find the third angle.

180-90-40.37=49.63

The angles of the triangle are 90, 40.37 and 49.63.

Hope this helped let me know if this can be explained further or if anything is wrong! : )

Find the equation of the line shown.
HELP PLEASEEE

Answers

Answer:

y = x+6

Step-by-step explanation:

The y intercept is 6  ( where it crosses the y axis)

We need to find the slope

For each y unit it goes up, it goes to the right 1 x unit

m = 1/1 = 1

We can use the slope intercept form of the equation

y = mx+b  where m is the slope and b is the y intercept

y = 1x+6

y = x+6

An emergency plumber charges $65 as a call-out fee plus an additional $75 per hour. He arrives at a house at 9:30 am and works to repair a water tank. If the total repair bill is $195.25 at what time was the repair completed?

Answers

Answer:

Around 11:15 am

Step-by-step explanation:

Let h represents the number of hours the plumber works

Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:

→ bill = 65 + 75h

Since the bill is $195.25

→ 195.25 = 65 + 75h

→ 75h = 130.25

→ h = 1.74

1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.

Carlos keeps track of his math scores of tests. His scores on his math tests are
the following: 100, 88, 50, 50, 90, 70, 80 What is the:
Median?
Mode?
Mean?
Range?

Answers

Answer:

Median: 75

Mode: 50

Mean: ≈ 75.4

Range: 50

Step-by-step explanation:

Median:

Arrange the numbers in order:

50, 50, 70, 80, 88, 90, 100

There is no exact middle number.

[tex]70 + 80 = 150\\150/2 = 75[/tex]

The median is about 75.

Mode:

50, 50, 70, 80, 88, 90, 100

"50" appears the most.

The mode is 50.

Mean:

Add all numbers in the set.

[tex]100+88+50+50+90+70+80 = 528[/tex]

Divide by the number of values in the set.

[tex]528/7 = 75.4285714286[/tex]

75.4285714286 ≈ 75.4

The mean is about 75.4.

Range:

Subtract the smallest number in the data set from the largest number in the data set.

[tex]100-50=50[/tex]

The range is 50.

Brainilest appreciated.

Hi so i am writing a movie but i need ideas

Answers

A coming of age story about two childhood best friends who grow apart
You can write about many interesting things. For example, you can write about your life or make up characters.

I hope this helps you!!!!

May someone please help me

Answers

hi buddy i can help you with this

5. Factor each expression.
a. 15a - 13a
b. -6x – 18y
c. 36abc + 54ad​

Answers

Step-by-step explanation:

a.)

= 15a - 13a

= a(15 - 13)

= a(2)

= 2a

b.)

= -6x - 18y

= -(x + 3y)

c.)

= 36abc + 54ad

= 6a(6bc + 9d)

Answer:

[tex]a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a[/tex]

[tex]b) \: \: - 6x - 18y \\ = - 6(x + 3y)[/tex]

[tex]c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)[/tex]

About how many times greater is the volume of the cylinder than the volume of the cone?

Answers

Your answer is 3 times larger.

The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.

We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h

I hope this helps!

What is the value of the angle marked with x?

Answers

Answer:

87

Step-by-step explanation:

Answer:

x=91

Step-by-step explanation:

All angles of a quadrilateral can add up to 360.

360-87=273

273/3=91

x=91

I am not to sure, but I think this is the answer.

Help I am soo confusedd!!

Answers

Answer:

[tex]x^2+x[/tex]

Step-by-step explanation:

What this question is asking us to do is to find the area of the square and the rectangle individually and then add them together to find the total area of the whole rectangle.

Firstly, let us find the area of each of the rectangles.

Let us start with the light-blue square. It has side lengths x and x

This means that the area of this square is [tex]x*x=x^2[/tex]

Now the dark blue rectangle. It has sides with lengths x and 1.

This means that the area of this rectangle is [tex]x*1=x[/tex]

Now that we have the area of each of the rectangles, we can add them together to get the area of the whole rectangle

[tex]x^2+x[/tex]

Find the volume of the juice box.

Answers

Answer:

105.3 inches^3

Step-by-step explanation:

you have to multiply 6.5*4.5*4*.9 to get 105.3

In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.

Answers

Answer:

6:5

Step-by-step explanation

boys : girls

= 18 : 15

Now time to simplify:

18/3: 15/3

= 6:5

someone pls help this is due today

Answers

Answer: 0.44mm

Step-by-step explanation:

In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.

V=πr²h

25120=πr²h

The problem also gives the diameter of the case: 40mm.

To find radius, you divide the diameter in half.

d=2r

40=2r

r=20

With the radius, we can add that to the volume equation.

25120=[tex]\pi[/tex](20)^2h

25120=400πh

All we have left is to find the height.

h=25120/(400π)

h≈20mm

Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.

20mm/50 chips=0.4mm/chip.

Write the slope-intercept form of an equation that passes through the points (3,7) and (5,11)

Answers

The answer is y= 2x + 1

Find the period. Principal = 9300 =9300equals, 9300 rupees Annual rate of interest = 13 % =13%equals, 13, percent Total amount = 17 , 763 =17,763equals, 17, comma, 763 rupees Period = =equals years

Answers

Answer:

7 years

Step-by-step explanation:

Given:

Principal P = 9300

Interest rate r = 13% = 0.13

Final amount F = 17,763

Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.

The formula for simple interest is;

Interest I = Prt .....1

t = period

Final amount F = P + I

I = F-P

Substituting into equation 1;

(F-P) = Prt

t = (F-P)/Pr

Substituting the given values;

t = (17,763 - 9300)/(9300×0.13)

t = 7 years

Period = 7 years

Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the number of ounces of lemonade in the container, an, at the end of the nth day?

Answers

Answer:

what is the nth day?

Step-by-step explanation:

Answer:

A

Step-by-step explanation: an=1.25(an-1-16);a1=64

:)

BO and OC are the bisector of angle B and angle C of the triangle ABC. Find BOC if BAC = 70 degrees.

For reference please look at the photo above.​

Answers

Answer:

BOC= 110 degrees

Step-by-step explanation:

you can refer the above explanation

What is the solution for -3x -24 < -36?

Answers

Answer:

x > 4

Step-by-step explanation:

-3x -24 < -36

Add 24 to each side

-3x -24+24 < -36+24

-3x< -12

Divide each side by -3, remembering to flip the inequality

-3x/-3 >-12/-3

x > 4

Answer:

x > 4

Step-by-step explanation:

Given equation,

→ -3x - 24 < -36

Now the value of x will be,

→ -3x - 24 < -36

→ -3x < -36 + 24

→ -3x < -12

→ x > -12/-3

→ x > 12/3

→ [ x > 4 ]

Hence, the answer is x > 4.

[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work

Answers

Answer:

Step-by-step explanation:

[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]

[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]

[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]

[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]

[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]

[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]

[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]

x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]

x =  [tex]\sqrt[3]{8^{5}}[/tex] -2

Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 1

6. θ = 75°

7. θ = 720°

Answers

Answer:

6. -285°, 435°

7. -360°, 360°

Step-by-step explanation:

6. θ = 75°

75-360 = -285°

75+360 = 435°

7. θ = 720°

720 - 1080 = -360°

720 - 360 = 360°

Answer:

answer is positive

Step-by-step explanation:

-9x + 0.4 = 4 hhhhhhhhheeeeeeeeellllllllppppppp

Answers

Answer:

x = -0.4

Step-by-step explanation:

First subtract the 0.4 from both sides. Then divide both sides by -9 to solve for x.

Answer:

-0.4

Step-by-step explanation:

Subtract 0.4 from both sides.

-9x + 0.4 = 4

       -0.4    -0.4

-9x = 3.6

Divide both sides by -9.

-9x/-9 = 3.6/-9

Simplify

x = -0.4

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

someone lmk plzzz tyy

Answers

Answer:

y-1 = -(x-2)

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

   = (5-1)/(-2 -2)

    = 4/-4

   = -1

We are using point slope form using the point (2,1)

y-y1 = m(x-x-1)

y-1 = -1(x-2)

y-1 = -(x-2)

A bird flies from the bottom of a canyon that is 77 1/10 and one tenth feet below sea level to a nest that is 738 3/5 and three fifths feet above sea level. What is the difference in elevation between the bottom of the canyon and the​ bird's nest?

Answers

Answer:

[tex]805\frac{8}{10}[/tex]

Step-by-step explanation:

[tex]805\frac{8}{10}[/tex]

The bottom of the conyon to ses level plus sea level to the bird nest.

First you add 82+723

And than you need to find the common denominator in this case [tex]10\frac{1}{2} =\frac{5}{10}[/tex]

[tex]\frac{5}{10} +\frac{3}{10}[/tex]


someone help? 25 points

Answers

Answer:

A- isosceles

B- equilateral

C- scalene

Answer:

Triangle A

Isosceles

Triangle B

Equilateral

Triangle C

Scalene

Hope this helped

Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form

Answers

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4

OVER HERE WALKER.
What is the perimeter of a rectangle measuring 10cm by 5cm ?

Answers

Answer:

30 cm.

Step-by-step explanation:

Answer:

30 cm

Step-by-step explanation:

Perimeter is the outside measurement/ outline, add 10+10+5+5 which is all the sides together and you get your answer for perimeter

Other Questions
7. The word __________ is from the Greek word gymnazein that literally means "to exercise naked." The triangles are similar.What is the value of x? For what type of metal is high speed steel drill best suited? What is the x-intercept of the continuous function shown in the table? (0, 8) (0, 2) (8, 0) (2, 0) Which textbook section provides a quick overview of the book and its organization?bibliographytable of contentsglossaryindex Study the image.Which best describes what the picture shows?an organisma communitya nichea population 1. Why is cosine positive in the 4th quadrant and sine isn't?Your answer2. An angle measures 120 degrees. Describe how to use special right trianglesand the unit circle as tools to calculate the sine and cosine of this angle.Your answer3. Explain why you cannot use the Distributive Property to evaluate an expressionin the form of sin(a + b). Please illustrate with an example along with yourexplanationYour answer 2. Chemical Engineers convert all of the following EXCEPTA. SpaceB. EnergyC. Living CellsD. Microorganisms(1 point)Concepts of Engineering and Technology Final ReviewIf anyone knows all 50 questions could you help me out please! What is the probability of two dice landing on 4 If you already know the first die haslanded on 4 . Why is the carpel considered female and the stamen male? he income statement of Sarasota Company is shown below. SARASOTA COMPANY INCOME STATEMENT FOR THE YEAR ENDED DECEMBER 31, 2020 Sales revenue $6,890,000 Cost of goods sold Beginning inventory $1,910,000 Purchases 4,410,000 Goods available for sale 6,320,000 Ending inventory 1,620,000 Cost of goods sold 4,700,000 Gross profit 2,190,000 Operating expenses Selling expenses 460,000 Administrative expenses 700,000 1,160,000 Net income $1,030,000 Additional information: 1. Accounts receivable decreased $350,000 during the year. 2. Prepaid expenses increased $160,000 during the year. 3. Accounts payable to suppliers of merchandise decreased $300,000 during the year. 4. Accrued expenses payable decreased $90,000 during the year. 5. Administrative expenses include depreciation expense of $50,000. Prepare the operating activities section of the statement of cash flows using the direct method. Why did the American colonies break away from England? An ice skater spins at 2.5 rev/s when his arms are extended. He draws his arms in and spins at 10.0 rev/s. By what factor does his moment of inertia change in the process? The grid you see below is in the shape of a rectangle. What is the area, in squareunits, of the shaded part? Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:$67.50$6.75$675.00$6,750.00 i really need help please A number pattern starts with 10 and follows the rule "multiply by 3." What is trueabout all of the numbers in this pattern? I NEED HELP PLEASE PLEASE :) 1) Which of the following is an accurate explanation of what this paragraph means?(A) Radiation from the sun is the main cause of global warming.(B) Radiation is the heat that the sun releases onto the surface of the earth.(C) Solar panels get very hot because they are absorbing radiation from the sun.(D) Solar panels can make the earth cooler because they absorb heat instead of the earth.2) Which sentence from this section supports the conclusion that solar energy is better than fossil fuels?(A) According to a 2015 study, large solar arrays could actually lead to changes in local climate.(B) On a global scale, the changes would be small compared to the effects of burning fossil fuels for energy.(C) Other studies have shown that solar arrays can cause regional changes in temperature.(D) Today, more countries are promising to move away from fossil fuels.3) Which selection from the article supports the main idea of the article?(A) In the second simulation, in which global air conditioning use was increased, a large amount of powerwas consumed.(B) The authors said that solar panel installations will probably not be widespread in the future.(C) The study shows that huge solar arrays can cause significant regional changes in climate.(D) It's tempting to place huge solar arrays in desert areas. That is where they would receive the mostsunlight.4) HOW does this paragraph support the main idea of the article?(A) It shows how scientists were able to predict that solar energy will make some changes to the climate.(B) It shows that solar energy is a better source of energy for the environment than fossil fuels.(C) It explains how scientists are able to make predictions about the future climate.(D) It explains how simulations work and are important for scientific research on climate change. This is for my NJROTC class! Pls help! (57) + 3 = 5 (27) true or false