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Lelechka [254]
3 years ago
14

How many 10 digit telephone numbers are possible if the first digit cannot be zero?

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

This is a hard one id suggest googling it

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If x and y are integers greater than 1, is x a multiple of y ? (1) \small 3y^{2}+7y=x (2) \small x^{2}-x is a multiple of y. Sta
Nata [24]

Answer:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Step-by-step explanation:

A multiple of a number is obtained after multiplying the number by an integer.

Here,

x, y are any two integers greater than 1,

(1) We have,

\small 3y^{2}+7y=x

\implies y(3y+7) = x

∵ y is an integer ⇒ 3y + 7 is also an integer,

⇒ y × an integer = x

That is, when we multiply y by a number we obtain x,

∴ x is a multiple of y.

Thus, statement (1) ALONE is sufficient.

(2),

\small x^{2}-x\text{ is a multiple of y}

I.e.

y\times a = x^2-x, where a is an integer,

\implies y\times a = x(x-1)

∵ x and x - 1 are disjoint numbers,

There are three possible cases,

Case 1 : x is multiple of y

Case 2 : (x-1) is a multiple of y,

Case 3 : neither x nor x - 1 are multiple of y but their product is multiple of y,

Thus, statement (2) is not sufficient.

8 0
3 years ago
Which sentence best contrasts Greg’s father and Lemon Brown, in "The Treasure of Lemon Brown”? Lemon Brown has shown a deep conc
Vika [28.1K]

Answer:

the correct answer will be B i took the test and got a 100%

Step-by-step explanation:

B. Lemon Brown has lived a more exciting life of a musician, while Greg’s father lives a more stable existence as a postal worker.

6 0
2 years ago
How to check division with multplication<br><img src="https://tex.z-dn.net/?f=3%20%5Ctimes%20292%20" id="TexFormula1" title="3 \
svetoff [14.1K]

Answer:  By cross multiplication.

Step-by-step explanation:  Given product is 3 × 292.

We know that after simple multiplication, we get  3 × 292 = 876.

Now, to check division with multiplication, either we need to divide 876 by 3 to get the answer 292,

or

we need to divide 876 by 292 to get the answer 3.

We will do that as follows -

\dfrac{876}{3}=292~~~\textup{and}~~~\dfrac{876}{292}=3.

Thus, doing cross-multiplication, we arrive at our conclusion.

6 0
3 years ago
If there is a song that is 2 minutes and 58 seconds long and it plays 40 times how long does it play convert answer into seconds
lapo4ka [179]

Answer: I got 7120 seconds

Step-by-step explanation:

There's 178 seconds in the song (for more context, I just converted the 2 minutes into seconds and added it with 58) then I multiplied it by the total amount of times it played (in this case, 40)

Hope this helps

3 0
3 years ago
Read 2 more answers
9x + 26 + 7x - 17 = 2x + (-3x) + 5x<br><br> 16x + 9 = 0<br> 16x + 11 = 4x<br> 16x + 9 = 4x
zzz [600]

Answer:

C. 16x+9=4x

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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