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patriot [66]
2 years ago
14

At the school carnival, students guessed how many marbles are in a jar. Marlo guessed 84 when it was actually 80. What percent o

f error did Marlo have?
Mathematics
1 answer:
Svetllana [295]2 years ago
6 0

Answer:

5%

Step-by-step explanation:

Percent of error = \frac{84-80}{80} × 100%

                           = 5%

-------------------------------------------------------------------------------------------------------------

Lexi and Ann went shopping. Ann wondered how much tax she would have to pay on her purchase of $76. Lexi said, "They just charged me $17 in taxes when I bought these outfits for $200." How much will Ann pay in taxes?

Ann's taxes = \frac{17}{200} × $76

                   = $6.46

-----------------------------------------------------------------------------------------------------------

Every week Roseanne gets paid $100 plus a 5% commission on all of her sales. If she has $5,000 in sales, how much is her pay for the week?

5% commission = \frac{5}{100} × $5000

                          = $250

Total pay = $250 + $100

                = $350

-----------------------------------------------------------------------------------------------------------

Every week Kabore gets paid $100 plus 5% of his sales. How much does he need to sell if he wants to make $700 this week?

Amount of commission paid = $700 - $100

                                               = $600

5% of sales = $600

100% of sales = \frac{100}{5} × $600

                       = $12 000

-----------------------------------------------------------------------------------------------------------

Get-It-Done Depot has an ad for piping that reads:

“15 inches of pipe - only $2.00

Get 15% off the total when you buy more than 3 feet”

Mike needs 4 feet of piping. How much will it cost him?

4 feet = 48 inches

48 inches - \frac{48}{15} × $2.00 = $6.40

Total after 15% off (since 4 feet is more than 3 feet so the discount is legible) - \frac{100-15}{100} × $6.40 = $5.44

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Jessica was planting flower seeds in a garden. She planted 26.53 square feet of seeds in 7 minutes. At what unit rate did Jessic
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| 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
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