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2 years ago

I need help with these! Thanks!!

Mathematics

1 answer:

spin [16.1K]2 years ago

8 0

-2[9 - (x + 7)]
-2[9 - x - 7]
-2[-x + 9 - 7]
-2[-x + 2]
-2[-x] - 2[2]
2x - 4

The answer is C.

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

The scatterplot shows the data collected from a survey of 19 students, in which they were asked how many hours per week they stu

konstantin123 [22]

Answer:

The Answer is B) There is a positive correlation between them.

Step-by-step explanation:

There is a positive correlation between them. Since the points on the graph tend to rise from left to right, the correlation is positive.

3 0

3 years ago

Read 2 more answers

64 divided by 13,248

BabaBlast [244]

Answer:

207

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?

Goshia [24]

Answer:

hannah gets £56

Step-by-step explanation:

z : h

3 : 7

24 : ?

24/3 = 8

8 x 7 = 56

£56

hope this helps

brainliest plz?

8 0

2 years ago

Cho hình chóp S.ABC có đáy abc là hình vuông tại A. Có ab = a, ac = a^3 . Mặt bên SAB là tam giác đều nằm trong măth phẳng vuông

Ira Lisetskai [31]

Answer:

wergi;bwfvhisbohouwdfkwv

Step-by-step explanation:

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2 years ago