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3 years ago

1

Mathematics

1 answer:

adelina 88 [10]3 years ago

4 0

Step-by-step explanation:

16 matches=100%

what about,12 matches=?

you then cross multiply

12/16×100%=75%

=75%

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Let a, b, and c be positive integers that form a geometric sequence. Given that a has 3 factors and c has 9 factors, how many fa

just olya [345]

Answer:

Step-by-step explanation:

it’s clear that a ,b and c are in geometric progression.

Then we have :

b = q×a

c = q²×a

also , b² = a×c

………………………

NOTE : b² and b have the same factors

also ,since b² = a×c then b and a×c

have the same number of factors.

_______________________________

Since c = q²×a then any factor of a is also a factor of c

Which means the number of factors of a×c

is equal to the number of factors of c.

Therefore b at most has the same number of factors as c.

Conclusion:

at most b has 9 factors.

……………………

As a side note :

You can take as example the numbers 3 , 30 , 300.

3 ——-> 1 factor

30 = 3×5×2 ——-> 3 factors

300 = 3 × 5² × 2² ——-> 3 factors

5 0

2 years ago

6×104 find the value

blagie [28]

Answer:

624

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

How many centimeters are in six hundred millimeters?

olga55 [171]

60 cm are in 600 mm.

6 0

3 years ago

Read 2 more answers

For the below expressions, write an equivalent expression that

boyakko [2]

Answer:

So this is pretty much endless but here are a few examples:

3+3+3+3

4x+(-7y) + (-46)

-3% + (-8y) + (-4) + (-0.1111)

Step-by-step explanation:

Hope this helps have a great rest of your day

3 0

2 years ago

The ordered pair(5,-3) is a solution to which of the following inequalities? a. y≥−2x+8 b. −2y<3x−9 c. y−2x>5 d. 4y+2x≤−1

stiks02 [169]

Answer:

Option d. $4y+2x\leq -1$

Step-by-step explanation:

we know that

If a ordered pair is a solution of an inequality, then the ordered pair must be satisfy the inequality

Verify each case

case a) $y\geq2x+8$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$-3\geq2(5)+8$

$-3\geq18$ -----> is not true

therefore

the ordered pair is not a solution

case b) $-2y$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$-2(-3)$

$6$ -----> is not true

therefore

the ordered pair is not a solution

case c) $y-2x>5$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$-3-2(5)>5$

$-13>5$ -----> is not true

therefore

the ordered pair is not a solution

case d) $4y+2x\leq -1$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$4(-3)+2(5)\leq -1$

$-2\leq -1$ -----> is true

therefore

the ordered pair is a solution

7 0

4 years ago