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3 years ago

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Four sevenths plus what equals six sevenths

%20%5Cfrac%7B4%7D%7B7%7D%20%20" id="TexFormula1" title=" \frac{6}{7} = m + \frac{4}{7} " alt=" \frac{6}{7} = m + \frac{4}{7} " align="absmiddle" class="latex-formula">

1 answer:

ser-zykov [4K]3 years ago

3 0

M= 2/7. I am not sure if it will put it in fraction form, but M=two sevenths.

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Find four consecutive even integers such that seven times the first exceeds their sum by 18.

Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be $(x+2)$

Third consecutive number will be $(x+4)$

Fourth consecutive number will be $(x+6)$

Now, as given seven times the first exceeds their sum by 18.

∴ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

solving the equation to find the number.

⇒ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

Opening parenthesis

$x+x+2+x+4+x+6+18 = 7x$

⇒ $4x+30= 7x$

subtracting both side by 4x

⇒ $30= 3x$

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

First number is 10

Second consecutive number will be $(10+2)$ = 12

Third consecutive number will be $(10+4)$ = 14

Fourth consecutive number will be $(10+6)$ = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0

3 years ago

A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What int

Licemer1 [7]

Interest = $572.60 - $560.00 = $12.60

$560 x 6i/12 = $12.60

i = ($12.60 x 12) / ($560 x 6) = 0.045%

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3 years ago

M<br> /<br> n<br> (x), x not equal to

azamat

Answer:

In M/n(x) x cannot be 0

Step-by-step explanation:

If any number is divided by 0, then that number is undefined and has no answer, so in math this is always avoided by not dividing with 0.

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3 years ago

Granger walks 2 1/5 miles in 2/3 an hour at a constant speed.

Lorico [155]

She walks 3 3/10 mph
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3 years ago

A card is drawn from the deck. What is the probability it is either black face card or a<br> spade?

IRINA_888 [86]

Answer:

about 37% chance or, rounding to the nearest tenth, 36.5% chance

Step-by-step explanation:

since there are only 6 black face cards out of 52 cards, so the fraction is 6/52

there are also 13 spade cards out of 52 cards, so the fraction is 13/52

to find the percent you have to add the two fractions becuase all you want to do is draw a black face card or a spade card. when you add them you get 19/52

then dividing the fraction gives you .3653846154 on my calculator :)

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3 years ago