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3 years ago

5

Josiah skateboards from his house to school 3 miles away. It takes home 36 minutes. If Josiah’s speed, in miles per minute, is c

onstant, what is the constant of proportionality?

1 answer:

arlik [135]3 years ago

5 0

c constant of proportionality is 12

Step-by-step explanation:

36÷3= 12

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R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?

statuscvo [17]

<h2><em><u>Solution</u></em> : </h2>

let the last number be x

we know,

$\boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }$

So,

$\hookrightarrow \: 8 = \dfrac{22 + x}{4}$

$\hookrightarrow \: 8 \times 4 = 22 + x$

$\hookrightarrow \: 32 = 22 + x$

$\hookrightarrow \: x = 32 - 22$

$\hookrightarrow \: x = 10$

therefore, the last number is 10.

7 0

2 years ago

Initially a wheel rotating about a fixed axis at a constant angular deceleration of 0.5 rad/s 2 has an angular velocity of 0 rad

Zigmanuir [339]

Answer:

$\theta = 5.83\ rad$

Step-by-step explanation:

given,

angular deceleration, α = -0.5 rad/s²

final angular velocity,ω_f = 0 rad/s

angular position, θ = 6.1 rad

angular position at 3.9 s = ?

now, Calculating the initial angular speed

$\omega_f^2 = \omega_i^2 + 2 \alpha \theta$

$0 = \omega_i^2 - 2\times 0.5\times 6.1$

$\omega_i = \sqrt{6.1}$

$\omega_i = 2.47\ rad/s$

now, angular position calculation at t=3.9 s

$\theta = \omega_i t + \dfrac{1}{2}\alpha t^2$

$\theta =2.47\times 3.9 - \dfrac{1}{2}\times 0.5\times 3.9^2$

$\theta = 5.83\ rad$

Hence, the angular position of the wheel after 3.9 s is equal to 5.83 rad.

7 0

3 years ago

What are the rules to remember when dividing fractions?

harkovskaia [24]

Answer:

copy the first fraction, turn the division sign to a multiplication sign and flip the second fraction

Step-by-step explanation:

ex: 2/5 divided by 1/4

turn it to- 2/5 x 4/1

5 0

3 years ago

Read 2 more answers

1/3 is part of which set of numbers?

nexus9112 [7]

Answer:

$\frac{1}{3}$ Rational number as denominator is not equal to zero and numerator is a integer.

8 0

2 years ago

Read 2 more answers

Thomas needed a load. he borrowed 24,000$ from the bank at a rate of 8.25% of simple interest for 36 months. what was the total

spayn [35]

Step-by-step explanation:

principal= 24000$

rate=8.25%

time=36months=3years

now,

simple interest =PTR/100

=24000×8.25×3/100

=594000/100

=5940

so,

amount=simple interest +principal

=5940+24000

=29940$

he had to pay back 29940$

hope it could help

5 0

2 years ago