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Ugo [173]
2 years ago
9

Lloyd has a PIN number for his bank card.

Mathematics
1 answer:
zhenek [66]2 years ago
3 0

Answer:

6

Step-by-step explanation:

6 is a multiple of three with only itself

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Ellie, the elephant, eats 4 times as much as Popcorn, the pony. Zac, the zebra, eats twice as much as Popcorn. Altogether, they
Ierofanga [76]

Ellie requires 280 kg, Popcorn requires 70 kg and Zac requires 140 kg each week

Step-by-step explanation:

The given is:

  • Ellie, the elephant, eats 4 times as much as Popcorn, the pony
  • Zac, the zebra, eats twice as much as Popcorn
  • Altogether, they eat 490 kilograms of feed per week

We need to find how much feed each of them requires each week

Assume that Popcorn eats x kg each week

∵ Popcorn eats x kg each week

∵ Ellie eats 4 times as much as Popcorn

- Multiply x by 4 to find how much Ellie eats

∴ Ellie eats = 4 × x = 4 x kg

∵ Zac eats twice as much as Popcorn

- Multiply x by 2 o find how much Zac eats

∴ Zac eats = x × 2 = 2 x kg

- Add all of them to find how much they eat altogether

∴ Altogether eats = x + 4 x + 2 x = 7 x kg

∵ Altogether, they eat 490 kilograms of feed

- Equate the sum of their eat by 490

∴ 7 x = 490

- Divide both sides by 7

∴ x = 70

∵ Ellie eats 4 x

∴ Ellie eats = 4(70) = 280 kg

∵ Popcorn eats x

∴ Popcorn eats = 70 kg

∵ Zac eats 2 x

∴ Zac eats = 2(70) = 140 kg

Ellie requires 280 kg, Popcorn requires 70 kg and Zac requires 140 kg each week

Learn more:

You can learn more about the the word problems in brainly.com/question/3950386

#LearnwithBrainly

8 0
3 years ago
Is the following a function? (2,5),(-9,5), (1,8), (3,2), (-2,1)? <br> A.yes<br> B.no
ohaa [14]

Answer:

Yes

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis
guapka [62]

Answer: V = \frac{64}{3}\pi

Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:

V = \pi. y^{2}.Δx

Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:

V = \int\limits^a_b {\pi. y^{2} } \, dx

Then, for the region generated by  y = - x + 4:

V = \int\limits^4_0 {\pi.(-x+4)^{2} } \, dx

V = \pi.\int\limits^4_0 {(x^{2}-8x+16)} \, dx

V = \pi.(\frac{x^{3}}{3}-4x^{2}+16x )

V = \pi.(\frac{4^{3}}{3}-4.4^{2}+16.4 - 0 )

V = \frac{64}{3}.\pi

The volume of the revolved region is V = \frac{64}{3}.\pi

8 0
2 years ago
A bicycle store costs $3600 per month to operate. The store pays an average of $80 per bike. The average selling price of each b
sweet [91]

Answer:

90 bikes.

Step-by-step explanation:

The bike store earns:

(120-80) = 40 dollars per bike sold.

Hence, to break even, the store must sell:

3600/40 = 90 bikes per month.

Hope this helped!

4 0
2 years ago
Lines b and c are parallel what is the measure of angle 6?
elena-s [515]

Answer:

54 degrees

Step-by-step explanation:

If these two lines are parallel, than angles 1 and 7 are supplementary.

13x+9+5x+9=180

18x+18=180

x+1=10

x=9

Angle 6 and 7 are vertical angles, so they are equal. Therefore, angle 6 is:

5x+9=5(9)+9=54

Hope this helps!!

3 0
3 years ago
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