answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MissTica
2 years ago
10

Kelly hiked in the woods it took her 1/14 hour to walk 1/4 mile after she snacked she walked another 1/6 mile in 1/16 hour

Mathematics
2 answers:
ivanzaharov [21]2 years ago
6 0
My best answer would be False,True, False, False
mariarad [96]2 years ago
3 0

General Idea:

The relationship between rate(R), distance(D) and time(T) given below:

R= \frac{D}{T}

Applying the concept:

We need to make use of the formula to find Kelly's walking rate before and after her snack

Kelly \; Walking \; Rate \; before \; Snack:\\Distance \div Time = \frac{1}{4}  \div \frac{1}{14}  =  \frac{1}{4}  \times \frac{14}{1}  = \frac{14}{4}  = \frac{7}{2}  =  3 \frac{1}{2} \;   miles \; per \; hour\\\\Kelly \; Walking \; Rate \; after \; Snack:\\Distance \div Time = \frac{1}{6}  \div \frac{1}{16}  =  \frac{1}{6}  \times \frac{16}{1}  = \frac{16}{6}  = \frac{8}{3}  =  2 \frac{2}{3} \;   miles \; per \; hour\\\\

Option A isn't correct because before snack Kelly walking rate is not 4/14 miles per hour.

Option B is <u>Correct,</u> Kelly walking rate after snack is 2 2/3 miles per hour.

Option C isn't correct because it doesn't took Kelly 2 hours longer to walk 1/6 mile than it did for her to walk 1/4 mile.  It took 1/112 hour longer.

\frac{1}{14}  - \frac{1}{16}  = \frac{1 \cdot 8}{14 \cdot 8}  - \frac{1 \cdot 7}{16 \cdot 7}  =  \frac{8}{112} - \frac{7}{112}  = \frac{1}{112}

Option D isn't correct because 2 2/3 miles per hour is slower than 3 1/2 miles per hour.

Conclusion:

Option B is <u>Correct,</u> Kelly walking rate after snack is 2 2/3 miles per hour.

You might be interested in
Cos12sin78+cos78sin12
laila [671]

Answer:

21

Step-by-step explanation:

7 0
2 years ago
Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant
Viktor [21]

Answer:

Therefore k= \frac{ln2 }{18}, A=184

Step-by-step explanation:

Given function is

T(t)=230 -e^{-kt}

where T(t) is the temperature in °C and t is time in minute and A and k are constants.

She noticed that after 18 minutes the temperature of the pie is 138°C

Putting T(t) =138°C and t= 18 minutes

138=230 -Ae^{-k\times 18}

\Rightarrow  -Ae^{-18k}=138-230

\Rightarrow  Ae^{-18k}=92 .....(1)

Again after 36 minutes it is 184°C

Putting T(t) =184°C and t= 36 minutes

184=230-Ae^{-k\times 36}

\Rightarrow Ae^{-36k}=230-184

\Rightarrow Ae^{-36k}=46.......(2)

Dividing (2) by (1)

\frac{Ae^{-36k}}{Ae^{-18k}}=\frac{46}{92}

\Rightarrow e^{-18k}=\frac{46}{92}

Taking ln both sides

ln e^{-18k}=ln\frac{46}{92}

\Rightarrow -18k =ln (\frac12)

\Rightarrow -18k= ln1-ln2

\Rightarrow k= \frac{ln2 }{18}

Putting the value k in equation (1)

Ae^{-18\frac{ln2}{18}}=92

\Rightarrow A e^{ln2^{-1}}=92

\Rightarrow A.2^{-1}=92

\Rightarrow \frac{A}{2}=92

\Rightarrow A= 92 \times 2

⇒A= 184.

Therefore k= \frac{ln2 }{18}, A=184

7 0
2 years ago
A system of equations is given below:
algol [13]

The given system of equations is:

y = 4x − 3 ...(1)

2x + 7y = 41 ...(2)

Notice that the first equation is a solved equation for y. So, we can simply substitute 4x-3 for y in equation (2) to solve. This method is also knwon as substitution method by which we can plug in one equation into other equation.

So, if we will substitute y=4x-3 in equation (2) then we will get,

2x+7(4x-3)=41

Hence, third choice 2x + 7(4x − 3) = 41 is the correct answer.

4 0
2 years ago
Milton is floating in an inner tube in a wave pool. He is 1.5 m from the bottom of the pool when he is at the trough of a wave.
posledela
This is the concept of sinusoidal, to solve the question we proceed as follows;
Using the formula;
g(t)=offset+A*sin[(2πt)/T+Delay]
From sinusoidal theory, the time from trough to crest is normally half the period of the wave form. Such that T=2.5
The pick magnitude is given by:
Trough-Crest=
2.1-1.5=0.6 m
amplitude=1/2(Trough-Crest)
=1/2*0.6
=0.3
The offset to the center of the circle is 0.3+1.5=1.8
Since the delay is at -π/2 the wave will start at the trough at [time,t=0]
substituting the above in our formula we get:
g(t)=1.8+(0.3)sin[(2*π*t)/2.5]-π/2]
g(t)=1.8+0.3sin[(0.8πt)/T-π/2]


3 0
2 years ago
The store sells a 9 ounce jar of mustard for $1.53 and a 15 ounce for $2.55 explain whether the cost of the mustards have the sa
astraxan [27]

Answer:

same amount of money

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
    10·2 answers
  • Alison is saving for retirement. Her company matches what she puts into her 401K in a ratio of 2:3. If she puts in $400 each mon
    13·2 answers
  • Selling Price $500<br> Markup percent on cost 40% <br> Actual Cost??
    14·2 answers
  • there are 250 people in a museum. 2/5 of the 250 people are girls. 3/10 of the 250 people are boys. the rest of the 250 people a
    7·2 answers
  • Marie saved $3,000 dollars last year. She saved $600 in the month of January. What percent of the money she saved last year was
    11·2 answers
  • The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sam
    14·1 answer
  • Josiah works at an electronics store as a salesperson. Josiah earns a 2% commission on the total dollar amount of all phone sale
    10·2 answers
  • In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard dev
    13·1 answer
  • You count customers going into the 5 pizza shops in your city. You get 56, 98, 43, 112, and 106. What is the median number of cu
    12·1 answer
  • A process engineer is implementing a quality assurance system on a breakfast cereal production line. A new sensor is installed o
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!