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Troyanec [42]
3 years ago
6

Please help me solve this problem

Mathematics
2 answers:
Tcecarenko [31]3 years ago
6 0

Answer:

x=2

Step-by-step explanation:

6x+1=x+11

1st step:

5x=10

2nd Step:

x=2

ruslelena [56]3 years ago
3 0

Answer:

x=2

Step-by-step explanation:

because if you put the equation as in x+11=6x+1  and do the equation you'll get x=2

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Tom had a board that was 4 ft. 5 in. long. He cut off a piece that was 1 ft. 9 in long. How much board does he have left?
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It’s c your welcome make me Brainly
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Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g
olchik [2.2K]

If x is the first number in the progression, and r is the common ratio between consecutive terms, then the first four terms in the progression are

\{x,xr,xr^2,xr^3\}

We want to have

\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}

In the second equation, we have

xr^3-xr=xr(r^2-1)=36

and in the first, we have

xr^2-x=x(r^2-1)=12

Substituting this into the second equation, we find

xr(r^2-1)=12r=36\implies r=3

So now we have

\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32

Then the four numbers are

\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}

4 0
3 years ago
A person spends 1/5 of his salary on rent, 3/7 on food, 1/3 on other expenses and saves the rest. If she earns $21,000 per month
sukhopar [10]

Answer:

$9600 saving / year

Step-by-step explanation:

1/5 of $21000 = 21000 / 5 = $4200 / month on rent

3/7 of $21000 = (21000 / 7) x 3 = $9000 / month on food (shocking right :) food is expensive)

1/3 of $21000 = 21000 / 3 = $7000 on other expenses / month

total savings/month = salary/month - rent/month - food/month - other expenses/month

total savings/month = 21000 - 4200 - 9000 - 7000

total savings/month = $800

<u><em>BUT</em></u> the question asks for savings per year. therefore, we must multiply the savings per month by total months per year (12)

800 x 12 = $9600

the person's total savings per year, with a salary of $21000 per month, is equal to $9600 per year

3 0
1 year ago
Which expressions are equivalent?
shusha [124]
3(a-b) and 3a-3b. Equivalent

2a(2+b) and 4ab. Not equivalent
5 0
4 years ago
Read 2 more answers
a jar contains nickels and pennies. there are 56 coins in the jar in all. the total value of the coins is 1.52. how many pennies
nevsk [136]
1 penny is just 1c
one nickel is 5 pennies or 5c

alrite...

p = amount of pennies in the jar
n = amount of nickels in the jar

we know there are 56 coins in the jar, thus whatever "p" and "n" are,

p + n = 56

we also know, the total value of all pennies and nickels is one buck and 52 cents, or 1.52.. that's 152 pennies.

now, we know there are 5 pennies in one nickel, so in "n" nickels, there are 5*n pennies, or 5n, thus

p + 5n = 152

\bf \begin{cases}&#10;p+n=56\implies \boxed{n}=56-p\\&#10;p+5n=152\\&#10;----------\\&#10;p+5\left( \boxed{56-p} \right)=152&#10;\end{cases}

solve for "p", to see how many penny coins are there.

what about the nickels? well, n = 56 - p.
5 0
3 years ago
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