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3 years ago

Tell whether the ratios form a proportion. 2/5,40/16

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

5 0

Answer:

No, those ratios are not proportional.

Step-by-step explanation:

The reason for them not being proportional is because 2/5 is already in its simplest form and 40/16 in its simplest form is 5/2, resulting in them not being equivalent meaning that they are not proportional.

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(x-1)^2+(2-x)^2-3(x-5)*(x-5)

Natali5045456 [20]

Answer:

$-x^2+24x-70$

Step-by-step explanation:

$(x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70$

Formula used =

$(a-b)^2 = a^2+ 2ab + b^2$

8 0

2 years ago

18 is 75% of what number?

Nonamiya [84]

Answer:

Step-by-step explanation:

18 * 4 /3 = 72/3 = 24

8 0

3 years ago

Read 2 more answers

Find X, AB, BC, and AC if B is the midpoint of AC

Mkey [24]

Answer:

x=6, AB=61, BC=61, AC=122

Step-by-step explanation:

$AB=BC \\ \\ 10x+1=8x+13 \\ \\ 2x=12 \\ \\ x=6 \\ \\ AB=BC=61 \\ \\ AC=122$

4 0

1 year ago

Given the replacement set {0, 1, 2,3 4,}, solve 6x - 3=3

IrinaVladis [17]

Answer:

Step-by-step explanation:

6x - 3 =3

6x =3 +3

6x =6

x=6 :6

x=1

7 0

3 years ago

One sign lights up every 10 seconds. One sign lights up every 12 seconds. If they have just lit up at the same time, how many se

andrew11 [14]

Answer:

It will take 60 seconds for the signs to light up at the same time again.

Step-by-step explanation:

Given:

One sign lights up every 10 seconds

One sign lights up every 12 seconds

They have just lit up at the same time.

To find in how many seconds will it take for the signs to light up at the same time again.

Solution:

In order to find the time in seconds will it take for the signs to light up at the same time again, we need to find the least common multiple of the the times for which the given signs light up.

The numbers are 10 and 12.

To find the LCM, we will list the multiples of each and check the least common multiple.

The multiples of 10 and 12 are :

$10\rightarrow 10,20,30,40,50,60,70$

$12\rightarrow 12,24,36,48,60$

thus, we can see that 60 is the least common multiple.

Thus, the signs will light up at the same time time after every 60 seconds.

7 0

3 years ago