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Gelneren [198K]
2 years ago
13

Of a journey of 216km, 56km were on untarred road. for this part of the journey, a motorist could only average 28km/h. if his av

erage speed for the whole journey was 48km/h, what was his average speed for the part of the journey on tarred road?
​
Mathematics
1 answer:
kenny6666 [7]2 years ago
3 0

Answer:

64 km/hr

Step-by-step explanation:

216 - 56 = 160 km on good road

216km / 48 km/hr = 4.5 hours total time

56 km / 28 km/hr = 2 hours on bad road

   then 2.5 hours on good road   ( for total 4.5 hrs)  

         160 km / 2.5 hr = 64 km/hr on the good road portion

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Jessica has some round stickers. Each sticker has a radius of 2 cm. She is trying to cover as much of a sheet of paper that is 2
nata0808 [166]

Answer:

189.12 cm²

Step-by-step explanation:

If the radius of the stickers is 2 cm, then the diameter of each sticker is 4 cm.

1. Using this, divide each length of the sheet of paper by the diameter of 4 cm to see how many stickers can fit without overlapping.

24 ÷ 4 = 6 stickers

33 ÷ 4 = 8.25 = 8 stickers (only eight whole stickers will fit without overlap)

This means there can be a total of 48 stickers because 6*8 = 48.

2. Find the area of one sticker. The formula for the area of a circle if πr² (pi times radius squared) with 3.14 equal to π.

3.14 · 2² → 3.14 · 4 = 12.56 cm²

3. Multiply the area by the number of stickers that can fit on the sheet of paper (48 stickers).

12.56 · 48 = 602.88 cm²

4. Find the area of the sheet of paper. The formula for the area of a rectangle is length · width.

24 · 33 = 792 cm²

5. Subtract the area of the stickers from the area of the sheet of paper to solve for the remaining bare paper around the stickers.

792 - 602.88 = 189.12 cm²

8 0
4 years ago
Solve z2 – 2z – 35 = 0 using the zero product property.
elena55 [62]
Z^2 - 2z - 35 = 0
(z - 7)(z + 5) = 0

z - 7 = 0
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z + 5 = 0
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solution is : z = 7,-5


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4 years ago
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aleksandrvk [35]

Answer:

D infitently Many

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

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iren [92.7K]

Answer:

The answer should be A.

Step-by-step explanation:

4 0
3 years ago
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Can someone please explain for question 4.a) only please
shusha [124]

Answer:

Sample 1: P(R)=6/800

Step-by-step explanation:

The formula of probability is = no of possible cases upon number of total cases

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3 years ago
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