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8090 [49]
3 years ago
7

the gasoline y (in fluid ounces) is proportional to the number of the fluid ounces of oil X used to run a 2 cycle motor. it take

s 75 fluid oz of gasoline for 3 fluid oz of oil

Mathematics
1 answer:
zheka24 [161]3 years ago
3 0

3. 25y=x or x=25y

4. 200 ounces

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Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18
Andre45 [30]

Answer:

w < 9

Step-by-step explanation:

w + 9 < 18

To solve this inequality, we MUST get the w by itself

Subtraction Property of Equality  w + 9 - 9 < 18 - 9

Answer w < 9

7 0
2 years ago
| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the
Westkost [7]

Answer:

a)  Time until both vehicles meet is 1.5 hours after starting at noon.  That makes it 1:30PM.

b)  Average speed of car is 84 km/h

Step-by-step explanation:

A -----------------------z------------B

          <u>Left</u>      <u>Speed(km/h)</u>      <u>Time</u>

Car:   12PM            X  

Van:   12PM           60

Car/Van

DistanceCar        AB + z

DistanceVan       Az

Ratio:                  (AB+z)/Az  = 7/5

Time until both meet = T (in hours)

Distance Car:            xT

Distance Van:           60T

====

  xT = AB + z

  60T = Az

---

(xT/60T)= (7/5)

x = 60(7/5)

x = 84 km/h

=====

Time for car to reach B is:    time (hr) = 108 km/(84 km/h)

                                                 time = 1.286 hours

Distance for at 1.289 hours is:    distance (km) = (60 km/h)*(1.286 h)

                                                   distance = 77.14 km

At 1.286 hours, the car reverses direction.  The van is (108 km - 77.14 km) or 30.86 km away.

Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours.  The sum will be 30.86 km when they meet, at time of T.

Car Distance + Van Distance = 30.86 km

T(84 km/h) + t(60 km)

They meet when they are 0 km apart, which can be modeled with the following equation:

Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.

Let <u>t</u> be the time <u>after</u> 1.286 hours that both vehicles meet/collide.

t*(60 km/h)  +  t(84 km/h) = 30.86 km

t(60+84) = 30.86 km

t(144 km/h) = 30.86 km

t = 0.2143 hr

Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.

=================

a)  Time until both vehicles meet is 1.5 hours after starting at noon.  That makes it 1:30PM.

b)  Average speed of car is 84 km/h

==============

<u>CHECK</u>

Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?

Car distance is (1.5 hr)(84 km/h) = 126 km

Van distance is (1.5 hr)(60 km/h) = 90.0 km

Ratio is 126/90 or 1.4

Ratio of 7/5 is 1.4

<u><em>YES</em></u>

     

3 0
2 years ago
13/2 divided by 3/4
Juliette [100K]

Answer: 26/3

Step-by-step explanation: When dividing by a fraction, we can change

the division sign to multiplication and flip the second fraction.

So 13/2 ÷ 3/4 means the same thing as 13/2 · 4/3.

So when dividing by a fraction, we can just multiply

by the reciprocal of that fraction or that fraction flipped.

Next we cross-cancel.

4 and 2 reduce to 2 and 1.

Multiplying across the numerator and denominators we have 26/3.

5 0
3 years ago
The ABC Company has a net income of $56,000, assets at the beginning of the year are $263,000 and assets at the end of the year
aleksandr82 [10.1K]

Answer:

19.4 %

Step-by-step explanation:

The formula for<em> return on assets</em> (ROA) is

ROA = Net income /Total assets × 100 %

Since assets vary, we use the <em>average</em> of the total assets over the period.

<em>Calculate the average total assets</em>

At beginning of year, total assets = $263 000

At end of year, total assets            = $313 000

Average = (313 000 + 263 000)/2

Average = 576 000/2

Average = $288 000

===============

<em>Calculate the ROA</em>

Net income = $56 000

ROA = 56 000/288 000 × 100 %

ROA = 0.194 × 100 %

ROA = 19.4 %

The company’s return on assets is 19.4 %.

4 0
3 years ago
Read 2 more answers
Find the volume of a pyramid with a square base, where the perimeter of the base is
Kobotan [32]

Answer:

6.8 cubic feet

Step-by-step explanation:

7.3/4=1.825, which is the side length, 1.825*1.825=20.2575 and then ypu divide 20.2575 by 3 because it is a pyramid and that gives you 6.7525

4 0
3 years ago
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