Kate walks 5 miles in 2 hours at a steady pace. How far can she walk in 1 hour and 15 minutes? Explain your reasoning.

Answers

Answer 1

Answer:

3.125

Step-by-step explanation:

Kate walks 5 miles in 2 hours (120 minutes)

The distance she can works in 1 hour 15 minutes can be calculated as follows

This can be calculated using proportion

d/75= 5/120

Cross multiply

d×120= 75×5

120d= 375

d= 375/120

= 3.125


Related Questions

The dot plot shows two students’ scores on 12 history quizzes.

Which of the following statements correctly compares the median and the range of their scores?

A. The median of Lolo’s scores is greater that the median of Ami’s scores, and the range of Ami’s scores is greater that the range of Lolo’s scores

B. The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores

C. The medians are equal, and the range of Lolo’s scores is greater than the range of Ami’s scores

D. The median and range of Lolo’s scores are greater than the median and range of Ami’s scores

Answers

Answer:

The correct answer is B

Step-by-step explanation:

Both of their medians are equal and Ami's range is larger than Lolo's range :)

The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores

Option B is the correct answer.

What is median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

Lolo's quiz:

Scores: 12, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19

Median.

= (14 + 15)/2

= 14.5

Range,

= 19 - 12

= 7

Ami's score:

Scores: 10, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 18

Median.

= (14 + 15)/2

= 14.5

Range.

= 18 - 10

= 8

We can say that,

The median is the same for both and Ami's range is greater than Lolo's.

Thus,

The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores

Learn more about median here:

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The Diaz family bought 7 bags of cookies. Each bag had 14 cookies. They have since eaten 29 of the cookies. How many cookies do they have left?

Answers

Answer:

They have 69 cookies left.

Step-by-step explanation:

7 x 14 = 98

98 - 29 = 69

Simply the following expression: 8x + 5y - 4z + 9y - 3x + 13z

Answers

Answer:

5x+14y+9z

Step-by-step explanation:

combine 8x and -3x to get 5x

combine 5y and 9y to get 13y

combine -4z and 13z to get 9z

The lengths, in cm, of the sides of a triangle are 3x – 5, 2x – 1 and x + 1 (a) Write down an expression, in terms of x, for the perimeter of the triangle.

Answers

Answer: [tex]6x-5[/tex]

Step-by-step explanation:

Given

The side lengths of a triangle are  [tex]3x-5, 2x-1,\text{and}\ x+1[/tex]

Perimeter(P) is the sum of the side length of the triangle i.e.

[tex]\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5[/tex]

Therefore, the perimeter of the triangle is [tex]6x-5[/tex]

Multiply.
-0.2(24)=

-100(-9.287)

Answers

Answer:

-0.2(24)= -4.8

-100(-9.287)= -9.287

find the distance between the two points (-7,0) and (-9,-8)

Answers

Answer:

in decimal form it is 8.25

what is the slope pls help

Answers

The slope should be 3x

Answer: 19,7

Step-by-step explanation:

Find the length and surface area.

Width = 2

Height = 12

Volume = 240​

Answers

Answer:

Length: 10

Surface Area: 20

Step-by-step explanation:

Length:

2*12=24

240/24=10

Surface Area:

2*10=20

What is the sum of an 8 term geometric series if the first term is -11 and the last term is 859,375 and the common ratio is -5

Answers

Answer:716,144

Step-by-step explanation:

Given

No of the terms in GP [tex]n=8[/tex]

First-term [tex]a=-11[/tex]

last term [tex]a_n=859,375\quad (ar^{n-1})[/tex]

Common ratio [tex]r=-5[/tex]

The Sum of a GP is given by

[tex]S_n=\dfrac{a(1-r^n)}{1-r}\quad \quad [r<1][/tex]

Put the values

[tex]\Rightarrow S_n=\dfrac{-11(1-(-5)^8)}{1-(-5)}\\\\\Rightarrow S_n=\dfrac{-11\times -390624}{6}\\\\\Rightarrow S_n=\dfrac{42,96,864}{6}=716,144[/tex]

Find the value of y.
y
120

Answers

Answer:

60 degrees

Step-by-step explanation:

JOshua purchased a large sphere-shaped gumball from the gumball machine. The gumball has a diameter of 1.5. He decided to eat onlyhalf of the gumball so he can save the rest for later. Approximately, what is the volume of the piece of gumball that he ate?

Answers

Answer:

0.88 cubic inches

Step-by-step explanation:

Greyson rides his bike at a constant rate. In 30 minutes, Greyson can bike 7 miles. I need help on number 3.

Answers

Step-by-step explanation:

The answer is In the picture above

I lien ratios for problems like these.

7miles/30 minutes = x miles/105 minutes

Cross multiply
(7miles)(105 minutes) = (30 miles) (x)
735 = 30x
x = 24.5 miles

You can also divide 7 by 30 to get miles/ minute = 0.233 and then multiply that by 105 minutes

0.2333 x 105 = 24.5 miles

pweassss e help meee◑__◐

Answers

Answer: C

Step-by-step explanation:

divide 342 by 7 and round to the nearest whole number

According to the US Census, the percent of residents aged 65 or older in the 50
states and District of Columbia has mean 13.26% and standard deviation of
1.67%. Find and interpret the standardized scoreſfor the state of Colorado, which
had 9.7% of residents age 65 or older. *

Answers

Answer:

z = -2.13

Therefore, the standardized z score for the state of Colorado means the score is below the mean.

Step-by-step explanation:

The formula for z score is given as:

z = (x-μ)/σ,

where

x is the raw score = 9.7%

μ is the population mean = 13.26%

σ is the population standard deviation = 1.67%

z = z score or standardize score

Hence,

z = 9.7 - 13.26/1.67

z = -2.13174

Approximately z = -2.13

Therefore, the standardized z score for the state of Colorado means the score is below the mean

Plsss help I’m super stuck on this

Answers

Answer:

its  b

Step-by-step explanation:

took the quiz

Answer:

I would go with D

Step-by-step explanation:

You can look at the graph and answer it

Students at a middle school are divided into 6th, 7th, and 8th grades. A random sample of 15 students from each grade is chosen.
Which sampling method best describes this scenario?

A) simple random sample
B) stratified random sample
C) systematic random sample
D) voluntary response sample

Answers

Answer:

B. Stratified random sample is the correct answer

The best sampling method that describes the scenario where students from each grade (6th, 7th, and 8th) are randomly chosen in a sample of 15 students from each grade is B) stratified random sample.

In a stratified random sample, the population is divided into distinct groups or strata based on certain characteristics, and then a random sample is taken from each stratum. In this case, the distinct groups are the different grade levels (6th, 7th, and 8th grades). By randomly selecting 15 students from each grade, we ensure representation from each grade level in the sample.

This method allows for a more accurate representation of each grade level within the sample and can provide valuable insights into the characteristics and experiences of students in each grade.

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(HELP I BEG U THERE IS 20 MIN LEFT I NEED SLEEP AND I WILL GIVE BRAINLY )

Answers

Answer:

your answer is number 3 or 4 I believe it is both

There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores? 79% 82% 87% 92%

Answers

The median of the math scores is = 79%.

You can understand more about calculation of median of a set of numbers below.

Estimation of median scores

The total number of sophomores is = 8

The percentage score of each sophomore = 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%.

To calculate the median of the percentage scores, arrange the scores in ascending order and pick the figure in the middle as the median math score.

72, 74, 76, 78, 80, 82, 92, 92

Here the median is two figures 78, and 80 which are located in the middle. The median is =>78 +80/2

= 158/2 = 79%

Therefore, the median of the math scores is = 79%

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-----------------------

A. 79%

edge 2022 :)

------------------------

Please help me I need to answer these

Answers

Answer:

i am pretty sure that it is b because if you look at the certain angle

Answer:

first one is D

cos is adjacent/hypotenuse

second one is B

tan is opposite/adjecent

The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......

(a) Write down the nth term of the sequence (general formula).

(b) Calculate the 100th term of the sequence.

(c) Find the sum of the first 100 terms of the sequence.

Answers

Answer:

a) n = 4(n-1)+1    

b) 397

c) 19900

Step-by-step explanation:

In a population of adults the proportions of people in various marital status are: Single:35%, Married: 60%, Divorced: 5%. A person is selected at random. If that person is not divorced find the probability that he or she is single.

Answers

Answer:

7/20 0r 0.35

Step-by-step explanation:

Probability of been single = percentage of single adult / sum of percentages

sum of percentages = 35 + 60 + 5 = 100

35/100 = 7/20 or 0.35

please help me im bad at math and i math you as brainlest if you help me

Answers

Answer:

1st one

Step-by-step explanation:

1st one lolllslslslslslslslsls

Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded
quarterly. Sophie invested $6,200 in an account paying an interest rate of 7 7/8%
compounded monthly. To the nearest dollar, how much money would Sophie have in
her account when Caleb's money has doubled in value?

Answers

Oh this is a hard one I will get back to you whenever I get it

How many litres will be needed if 250 ml

Answers

Answer:

0.25 liter

Step-by-step explanation:

consider the expression
2⁶/2³
what is the value of the expression?​
its urgent

Answers

The value of the expression is 8. I hope this helps!!!

1. Find the volume of the figure. *
A.)30 cubic meters
B.)40 cubic meters
C.)50 cubic meters
D.)60 cubic meters

Answers

Cuboid

L=4B=3H=6

Volume:-

LBH4(3)(6)12(6)72m³

Step-by-step explanation:

#Make_the smartest_answer#sorry_if_wrong#I hope this helps#follow_and_like_me#No copas#Thank_you_for_watching么•ᴮᴬᴰʙᵒʏツॐhน໓ค • ๓นhค๓๓ค໓ঔৣॐŞiŞ¢ค • วนคriคঔৣ

Kyleigh invested $2800 in an account paying an interest rate of 5 1/2% compounded annually Ariana invested $2800 in an account paying in interest rate of 5 3/4%compounded continuously after 12 years how much more money with Ariana having her account then Kylie to the nearest dollar?

Answers

Answer:

$259

Step-by-step explanation:

\text{Rate 1: }5\tfrac{1}{2}\%=5+1/2=

Rate 1: 5  

2

1

​  

%=5+1/2=

\,\,5.5\%\rightarrow 0.055

5.5%→0.055

\text{Rate 2: }5\tfrac{3}{4}\%=5+3/4=

Rate 2: 5  

4

3

​  

%=5+3/4=

\,\,5.75\%\rightarrow 0.0575

5.75%→0.0575

\text{Calculate Final Amount for Kylie}

Calculate Final Amount for Kylie

\overline{\phantom{\text{Calculate Final Amount for Kylie}}}

Calculate Final Amount for Kylie

​  

 

\text{Compounded Annually:}

Compounded Annually:

A=P(1+r)^t

A=P(1+r)  

t

 

P=2800\hspace{35px}r=0.055\hspace{35px}t=12

P=2800r=0.055t=12

Given values

A=2800(1+0.055)^{12}

A=2800(1+0.055)  

12

 

Plug in values

A=2800(1.055)^{12}

A=2800(1.055)  

12

 

Add

A=5323.381

A=5323.381

Use calculator

\text{Calculate Final Amount for Ariana}

Calculate Final Amount for Ariana

\overline{\phantom{\text{Calculate Final Amount for Ariana}}}

Calculate Final Amount for Ariana

 

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

P=2800\hspace{35px}r=0.0575\hspace{35px}t=12

P=2800r=0.0575t=12

Given values

A=2800e^{0.0575(12)}

A=2800e  

0.0575(12)

 

Plug in

A=2800e^{0.69}

A=2800e  

0.69

 

Multiply

A=5582.4035

A=5582.4035

Use calculator (with e button)

\text{How much more money Ariana has:}

How much more money Ariana has:

5582.4035-5323.381

5582.4035−5323.381

259.0225

259.0225

A support wire is attached to the top of an antenna. The support wire connects
to the ground 15 feet from the bottom of the antenna. The support wire and the
ground meet at an angle with measure 70°, as shown.
Antenna
70°
15 ft-
To the nearest foot, what is the height of the antenna?
The antenna is
feet tall.

Answers

Answer:

Step-by-step explanation:

The antenna height is 41.23 feet if the support wire is attached to the top of the antenna.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

A support wire is attached to the top of an antenna. The support wire connects to the ground 15 feet from the bottom of the antenna.

Let x be the height of the antenna.

We can find the length of the antenna using the trigonometric ratios:

As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Applying tan ratio in the right angle triangle:

tan70 = x/15

x =15tan70

x = 41.212 feet  ≈ 41.23 feet

Thus, the height of the antenna is 41.23 feet if the support wire is attached to the top of the antenna.

Learn more about trigonometry here:

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Pls help ASAP I DO NOT WANT TO GO TO SUMMER SCHOOL.

Answers

Answer:

Question 8: answer is D

Question 7: answer is B

You can tell which one is bigger because the one with a larger box has a bigger IQR :)

You can tell the minimum is bigger by looking at the numbers on the number line

ihioiggihhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiik

Answers

Eeeeeeeeeeeeeeeeeeeeeeeeeeee
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