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2 years ago

On an assembly line, 1/5 of an item is made in 3/4 of an hour. What is the unit rate?

Mathematics

1 answer:

choli [55]2 years ago

3 0

I don’t know if I’m wrong but Yeah I Think It’s C

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Kayleigh babysat for 11 hours this week. That was 5 fewer than 2/3 as many hours as she babysat last week, h. Write an equation

lukranit [14]

Answer: The answer is $\textup{x}=\dfrac{2}{3}\textup{h}-5.$

Step-by-step explanation: Given that Kayleigh babysat for 11 hours the present week. Also, this was 5 less than two-third of the number of hours she babysat last week, which is represented by 'h'.

We are to write an equation to represent the number of hours she babysat each week.

So, for that, let 'x' be the number of hours she babysat this week. Then, according to the question, we can write

$\textup{x}=\dfrac{2}{3}\textup{h}-5.$

Also, it is given that

$\textup{x}=11.$

Therefore,

$11=\dfrac{2}{3}\textup{h}-5\\\\\Rightarrow \dfrac{2}{3}\textup{h}=16\\\\\Rightarrow \textup{h}=24.$

Hence, using the above relation, we can find the number oh hours Keyleigh babysat each week.

Thus, the required equation is

$\textup{x}=\dfrac{2}{3}\textup{h}-5,$

where, 'x' and 'h' are the number of hours she sat this week and last week respectively.

4 0

2 years ago

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si

natali 33 [55]

Answer:

1. Tracie's bus travels towards her home at an average speed of $\frac{1}{2}$ miles per minute.

Step-by-step explanation:

From the graph, we see that,

X-axis represents the time (in minutes) and the Y-axis represents the distance from home (in miles).

Also, the graph of the function is decreasing by 1 miles for every 2 minutes.

That is, the distance from home is decreasing as the time increases.

That is, the bus is getting closer to the home.

Further, as the distance is decreasing by 1 mile for every 2 minutes.

Thus, the rate of decrease is $\frac{1}{2}$ miles per minute.

As we know, $Speed=\frac{Distance}{Time}$

<em>So, the slope represents the speed of the bus travelling towards home.</em>

That is, 'Tracie's bus travels towards her home at an average speed of $\frac{1}{2}$ miles per minute'.

4 0

2 years ago

Read 2 more answers

Brody has his computer repaired at store A. His bill was:

PIT_PIT [208]

Initial repair cost = $1200

Gratuity = 15% of the initial repair cost

= 15% of 1200

$=\frac{15}{100} (1200)$

= 15 × 12

= 180

Hence, the gratuity for the service is $180.

4 0

2 years ago

Read 2 more answers

You deposit $2,900 into a bank account with a simple interest rate of 10% how do you find your account balance after 5 years

MAVERICK [17]

Formula: A = P(1 + rt)<span>
P= 2,900
R= 10%
T= 5 years

Answer: $4,350.00</span>

6 0

2 years ago

(Geometry Question) A sledding run is 300 yards long with a vertical drop of 27.6 yards. Find the angle of depression of the run

atroni [7]

Answer:

5.28°

Step-by-step explanation:

Draw the triangle formed by the sledding run. The hypotenuse is 300. The height is 27.6. The angle of depression is opposite of the height.

Using sine:

sin θ = 27.6 / 300

sin θ = 0.092

θ = 5.28°

8 0

2 years ago