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
The Chewy Candy Company is test marketing a new candy bar in Seoul and Manila. In Seoul, the company sold 40 candy bars the firs
mart [117]
Looking at the image attached, we can see the assumed sales of the Chewy Candy Company for its new candy bar in Manila and Seoul. Setting up the given condition for separate branches, we clearly see that during the 6th month, the total sales in Manila first exceeded the cumulative total sales in Seoul.

4 0
2 years ago
Read 2 more answers
For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
ollegr [7]

Answer: a. A point estimate for p is 0.597 .

b. The 95% confidence interval for p.

Lower limit = 0.48

Upper limit = 0.71

Step-by-step explanation:

Given : Sample size of professional actors : n= 67

Number of extroverts : x= 40

Let p represent the proportion of all actors who are extroverts.

a. The point estimate for p = sample proportion = \hat{p}=\dfrac{x}{n}

=\dfrac{40}{67}=0.597

b. Confidence interval for population proportion :

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Since the critical value for 95% confidence interval is 1.96 , so the 95% confidence interval for p would be

0.597\pm (1.96)\sqrt{\dfrac{0.597(1-0.597)}{67}}

0.597\pm (1.96)\sqrt{0.0036}

0.597\pm (1.96)(0.06)

0.597\pm 0.1176

(0.597-0.1176,\ 0.597+0.1176)\\\\=(0.4794,\ 0.7146)\\\\\approx(0.48,\ 0.71)

In the 95% confidence interval for p.

Lower limit = 0.48

Upper limit = 0.71

8 0
2 years ago
Read 2 more answers
Kelly blends coffee. She mixes brand A costing $6 per kilogram with brand B costing $8 per kilogram. How many kilograms of each
sukhopar [10]

Step-by-step explanation:

Let

x

be the kg of coffee of brand A in the mix and

y

be the kg of coffee of brand B in the mix.

The total kg must be

50

.

x

+

y

=

50

The cost per kg of the mix must br

$

7.20

. For this, the total cost of the mix will be

6

x

+

8

y

, so the total cost per kg of the mix will be

6

x

+

8

y

50

.

6

x

+

8

y

50

=

7.20

Now that we have our two equations, we can solve.

6

x

+

8

y

=

7.20

⋅

50

6

x

+

8

y

=

360

From the first equation, we can multiply both sides by

6

to get:

6

x

+

6

y

=

300

Subtracting, we get:

2

y

=

60

y

=

30

Thus, we need

30

kg of brand B in our mix. This means that

50

−

30

=

20

kg will be of brand A.

6 0
2 years ago
Out of 40 chocolates, ram and i shared in the ratio 1:3 . how many chocolates did ram get?
Leviafan [203]
So ram had 10 chocolates and i had 30 chocolates

because 1:3= 10:30
=> 4= 40
4 0
2 years ago
Read 2 more answers
the volume of a cone is 3πx3 cubic units and its height is x units. which expression represents the radius of the cone’s base, i
iVinArrow [24]
The volume given is 3Pi(x^3) and the radius is x. The formula for the volume of a cone is V= [1/3]Pi(r^2)*height => [1/3]Pi (r^2) x = 3Pi(x^3) => (r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 => r = sqrt[9x^2] = 3x. <span>Answer: r = 3x</span>
7 0
2 years ago
Read 2 more answers
Other questions:
  • The GCF of any two even numbers is always even. Determine whether the statement is true or false. If true, explain why. If false
    7·2 answers
  • Bonny's truck has a fuel tank which holds 50 gallons, and she typically drives 425 miles on a full tank. She has added a second
    10·2 answers
  • Joe is mowing lawns to buy a new car. For every lawn that he mows he earns $20. Joe charges a one time clean up fee of $50 befor
    15·2 answers
  • Captain Jessica has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Ishaan and his merciless band
    9·2 answers
  • There are 12 girls and 10 boys in Mrs. Jones kindergarten class. How many ways can she choose a line leader and caboose each day
    10·2 answers
  • A stadium asked for $760,000 for naming rights. During a bidding war for the stadium naming rights, one company bid 7% more than
    7·1 answer
  • A production system has a total daily output of 400 units and a total labor of 350 hours, what kind of productivity measure can
    7·1 answer
  • The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.512.512, point, 5 years; the stan
    13·1 answer
  • Solve each of the quadratic equations 3x=0.5x2
    14·1 answer
  • The table below shows the total number of hours, Jessica, Emily, and Trina, each studied after given number of weeks. Part A one
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!