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ArbitrLikvidat [17]
3 years ago
15

3.48 rounded to the nearest hundredth

Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

3.48 rounded to the nearest hundredth would be 3 I think

<em>Hope I Helped</em>

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Fiona, Dan and Stephen share £66 in a ratio 1:3:2. How much money does each person get?
FinnZ [79.3K]

Answer:

£11, £33, £22

Step-by-step explanation:

F:D:S= 1:3:2

  • x+3x+2x= 66
  • 6x=66
  • x= £11

Fiona  £11

Dan £33

Stephen £22

4 0
3 years ago
If the sum of the even integers between 1 and k, inclusive, is equal to 2k, what is the value of k?
Alisiya [41]
If k is odd, then

\displaystyle\sum_{n=1}^{\lfloor k/2\rfloor}2n=2\dfrac{\left\lfloor\frac k2\right\rfloor\left(\left\lfloor\frac k2\right\rfloor+1\right)}2=\left\lfloor\dfrac k2\right\rfloor^2+\left\lfloor\dfrac k2\right\rfloor

while if k is even, then the sum would be

\displaystyle\sum_{n=1}^{k/2}2n=2\dfrac{\frac k2\left(\frac k2+1\right)}2=\dfrac{k^2+2k}4

The latter case is easier to solve:

\dfrac{k^2+2k}4=2k\implies k^2-6k=k(k-6)=0

which means k=6.

In the odd case, instead of considering the above equation we can consider the partial sums. If k is odd, then the sum of the even integers between 1 and k would be

S=2+4+6+\cdots+(k-5)+(k-3)+(k-1)

Now consider the partial sum up to the second-to-last term,

S^*=2+4+6+\cdots+(k-5)+(k-3)

Subtracting this from the previous partial sum, we have

S-S^*=k-1

We're given that the sums must add to 2k, which means

S=2k
S^*=2(k-2)

But taking the differences now yields

S-S^*=2k-2(k-2)=4

and there is only one k for which k-1=4; namely, k=5. However, the sum of the even integers between 1 and 5 is 2+4=6, whereas 2k=10\neq6. So there are no solutions to this over the odd integers.
5 0
3 years ago
The sum of the measures of the interior angles of a convex polygon is 3960°.
scZoUnD [109]

Step-by-step explanation:

The sum of the interior angles of a convex regular polygon is 180 times (n-2), where n is the number of sides. Since we already know the sum, we can write 3,960 = 180(n-2). If you solve for n in this equation, you will have the number of sides.

5 0
3 years ago
Answer the question for brainliest. If answered and explained well I’ll give brainliest
Step2247 [10]

Answer:

No

Step-by-step explanation:

n₁=4

n₂=9

n₃=16

We can see that all three numbers are perfect squares of one higher than the figure number

So, n₁₅=(15+1)²=16₂=256

256≠225

4 0
2 years ago
One day a store sold 45 pens, one kind at 8.50 and another kind at 9.75. In all 398.75 ws taken in. How many of each kind were s
Bess [88]

There's not enough info to know the exact number for each. There would be at least a 2 different answers because either could be calculated to conclude the end result.

8 0
2 years ago
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