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2 years ago

9

An office supply store sells boxes of pencils.each box contains 160 pencils. write an equation that represents the total number

of pencils,y, in x boxes.

1 answer:

Troyanec [42]2 years ago

6 0

Answer:

160 times X

Step-by-step explanation:

160 is the number of pencils in each box.

And

X is how many boxes there are.

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A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

So

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

8 0

4 years ago

Aaron kept $12 000 in a bank account with an annual interest rate of 4%. After exactly 2 years, the bank chose Aaron as the winn

katrin2010 [14]

Answer:

Initial amount P = $12000

Interest after 2 years I = 4%*2 = 8%

<u>Investment into Trust fund:</u>

$12000 + $5000 + 0.08*$12000 = $17960

<u>Interest amount to exceed $20000:</u>

$20000 - $17960 = $2040

<u>Time required to get $2040:</u>

17960*0.045x = 2040
808.2x = 2040
x = 2040/808.2
x = 2.52 years

The investment will exceed $20000 in the second half of the third year

5 0

3 years ago

If Brian biked at an average speed of 12.2 miles per hour for 1.45 hours, you can find the total distance by multiplying

spin [16.1K]

Answer:

17.69 miles

Step-by-step explanation:

We are given that Brian is riding his bike with a speed of 12.2 miles per hour . We have to evaluate the distance traveled if he rides his bike for 1.45 hours.

We know that the formula for distance is given as

Distance = speed * time

Distance = 12.2 * 1.45

Distance = 17.69

Hence Brian travels 17.69 miles.

4 0

3 years ago

Read 2 more answers

100 POINTS PLUS BRAINLIEST QUESTION ATTACHED

jonny [76]

A squared + B squared = C squared

57 squared + 76 squared =

(Distance between Southville and Westfield) squared

square root of (3249 + 5776) = Distance between Southville and Westfield

square root of 9025 = Distance between Southville and Westfield

Distance between Southville and Westfield = 95 miles

Hope this helps! God bless :-)

3 0

4 years ago

Read 2 more answers

Can someone help me with this question?

photoshop1234 [79]

Answer:

yes, AA

Step-by-step explanation:

since both have 90 degree angles, and 62+28 is also 90, all 3 sets of angles are congruent

5 0

3 years ago