All categories

2 years ago

Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers, how much time will it take her?

1 answer:

6 0

6 divided by 2 is 3 kilometers.
Therefore, divide 10 by 2 which will get you 5 kilometers.

Sonya can walk 10 kilometers in 5 hours.

You might be interested in

1. Find the measurement of angle J.<br><br> 2. (5x - 13) (3x + 17)

Alex Ar [27]

Answer:

Q1. x= 18, y=59

Q2. m∠J= 56°

Step-by-step explanation:

Q1. (3x +5)°= y° (base ∠s of isos. △)

y= 3x +5 -----(1)

(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)

3x +5 +y +4x -10= 180

7x +y -5= 180

7x +y= 180 +5

7x +y= 185 -----(2)

Substitute (1) into (2):

7x +3x +5= 185

10x= 185 -5

10x= 180

x= 180 ÷10

x= 18

Substitute x= 18 into (1):

y= 3(18) +5

y= 59

Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)

5x -13= 3x +17

5x -3x= 17 +13

2x= 30

x= 30 ÷2

x= 15

∠LKJ

= 3(15) +17

= 62°

∠KLJ= 62° (base ∠s of isos. △)

m∠J

= 180° -62° -62° (∠ sum of △JKL)

= 56°

8 0

2 years ago

Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m

docker41 [41]

Hi There!

Dori leaves her house at 12pm.

50 steps per minute until 12:20pm.

Dori has a 20 minute advantage over Malory, find the amount of steps she is ahead by,

12 - 12:20pm. steps = 20 minutes = 20 x 50 = 1000 steps

Malory leaves her house at 12:20pm.

Walks 90 steps per minute.

12:20 - 12:30 pm. = 10 minutes = 10 x 90 = 900

Dori 12:20 - 12:30pm. = 10 minutes = 10 x 50 = 500

500 + 1000 = 1500

Mallory 12:30 - 12:40 = 10 minutes = 10 x 90 = 900

900 + 900 = 1800

Dori 12:30 - 12:45pm. = 15 minutes = 15 x 50 = 500

1750 + 500 = 2250

Mallory 12:40 - 12:45pm. = 5 minutes = 10 x 90 = 900

450 + 1800 = 2250

Answer: they have the same number steps at 12:45 p.m.

Hope This Helps :)

3 0

2 years ago

Three medium apples have about 285 calories

goldenfox [79]

Answer:

3 apples = 885 calories

Step-by-step explanation:

3 x 285 = 885

3 0

3 years ago

Read 2 more answers

a sequence has a first number of 3 and a half common difference of 4 what is the recursive rule of nth term

ELEN [110]

Answer:

$f(n) = f(n-1) + 8$ for $n > 1$

Step-by-step explanation:

Given

$f(1) = 3$ -- First Term

$\frac{1}{2}d = 4$ --- half common difference

Required

Find the recursive rule

First, we calculate the common difference

$\frac{1}{2}d = 4$

Multiply through by 2

$2 * \frac{1}{2}d = 2 * 4$

$d = 8$

The second term of the sequence is:

$f(2) = 3 + 8 = 11$

The third term is:

$f(3) = 11 + 8 = 20$

So, we have:

$f(1) = 3$

$f(2) = 3 + 8$

Substitute f(1) for 3

$f(2) = f(1) + 8$

Express 1 as 2 - 1

$f(2) = f(2-1) + 8$

Substitute n for 2

$f(n) = f(n-1) + 8$

Similarly:

$f(3) = 11 + 8$

Substitute f(2) for 11

$f(3) = f(2) + 8$

Express 2 as 3 - 1

$f(3) = f(3-1) + 8$

Substitute n for 3

$f(n) = f(n-1) + 8$

Hence, the recursive is:

$f(n) = f(n-1) + 8$ for $n > 1$

8 0

2 years ago

In an effort to estimate the mean amount spent per customer for dinner at major Atlanta restaurant, data were collected for a sa

AysviL [449]

Answer:

Confidence Interval is (21.76928571,23.43071429)

Step-by-step explanation:

The Formula we are going to use is:

$P=\mu$ ± $z_{\alpha/2}*\frac{\sigma}{\sqrt{n}}$

Where:

μ is the mean of sample

σ is the standard deviation of population

n is the sample size

z is the distribution

In our case:

μ=$22.60,σ=$2.50

For 98% Confidence level, 1-α=98%

α=2%

α/2=1%=0.01

From Cumulative standardized Normal Distribution table

$z_{\alpha/2}$ =2.326

$P=\mu\±z_{\alpha/2}*\frac{\sigma}{\sqrt{n}}\\P=22.60\±2.326*\frac{2.50}{\sqrt{49}}\\P=22.60\±0.8307142857$

P=23.430714 P=21.769286

Confidence Interval is (21.76928571,23.43071429)

5 0

3 years ago