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3 years ago

12(x-1)=2(5x+2)how do you solve plz help

Mathematics

2 answers:

laila [671]3 years ago

7 0

Answer:

x=8

Step-by-step explanation:

12x-12=10x+4

then solve that for x

labwork [276]3 years ago

3 0

<h3>Answer:</h3>

$x = 8$

<h3>Step-by-step explanation:</h3>

$12(x - 1) = 2(5x + 2) \\ first \: you \: need \: to \: distribute \\ \\ 12x - 12 = 10x + 4 \\ subtract \: 10x \: from \: both \: sides \\ \\ 2x - 12 = 4 \\ add \: 12 \: from \: both \: sides \\ \\ 2x = 16 \\ divide \: both \: sides \: by \: 2 \\ \\ x = 8$

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Mrs.Manning is making cookies for the bake sale. She jas 3/4 cup of flour and needs 1/3 cup of flour for her chocolate chip cook

Sedbober [7]

Answer:

<em>The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9</em>

Step-by-step explanation:

<u>Fraction of Portion</u>

Suppose we have a number n and another number m such as m>n. The portion or fraction of size n of m is given by the quotient n/m.

For example, 3 pieces of cake out of a total of 6 make them a fraction of 3/6 = 1/2 of the whole cake, i.e. half of the total available.

Mrs. Manning needs 1/3 cup of flour to make cookies for the bake sale. She actually has 3/4 cups of flour. Calculate the fraction of needed against the available flour:

$\displaystyle \frac{\frac{1}{3}}{\frac{3}{4}}$

The division can be easier performed by multiplying by the reciprocal of the denominator:

$\displaystyle \frac{1}{3}\cdot \frac{4}{3}=\frac{1*4}{3*3}$

$\displaystyle =\frac{4}{9}$

The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9

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3 years ago

On a test, Marcus answered 12 out of the first 15 problems correctly. If this rate continues

Deffense [45]

Answer:

Step-by-step explanation:

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3 years ago

Here are the graphs of L(x) and R(x) what are the values of L(2) and R(2)

Sedaia [141]

Using the function graph given, it is found that:

L(2) = 7.

R(2) = 1.

When a piece-wise function is given, that is, a function that has <em>multiple definitions</em>, the numeric value at x when the definition changes is given by the closed circle.

For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.

For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.

To learn more about the use of graphs to analyze a function, you can take a look at brainly.com/question/21447009

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2 years ago

1. In an auditorium, there are 21 seats in the first row and 26 seats in the second row. The number of seats in a row continues

kondor19780726 [428]

1. Let $s_n$ be the number of seats in the $n$ -th row. The number seats in the $n$ -th row relative to the number of seats in the $(n-1)$ -th row is given by the recursive rule

$s_n=s_{n-1}+5$

Since $s_1=21$ , we have

$s_2=s_1+5$
$s_3=s_2+5=s_1+2\cdot5$
$s_4=s_3+5=s_1+3\cdot5$
$\cdots$
$s_n=s_{n-1}+5=\cdots=s_1+(n-1)\cdot5$

So the explicit rule for the sequence $s_n$ is

$s_n=21+5(n-1)\implies s_n=5n+16$

In the 15th row, the number of seats is

$s_{15}=5(15)+16=91$

2. Let $p_n$ be the amount of profit in the $n$ -th year. If the profits increase by 6% each year, we would have

$p_2=p_1+0.06p_1=1.06p_1$
$p_3=1.06p_2=1.06^2p_1$
$p_4=1.06p_3=1.06^3p_1$
$\cdots$
$p_n=1.06p_{n-1}=\cdots=1.06^{n-1}p_1$

with $p_1=40,000$ .

The second part of the question is somewhat vague - are we supposed to find the profits in the 20th year alone? the total profits in the first 20 years? I'll assume the first case, in which we would have a profit of

$p_{20}=1.06^{19}\cdot40,000\approx121,024$

3. Now let $p_n$ denote the number of pushups done in the $n$ -th week. Since $3\cdot4=12$ , $12\cdot4=48$ , and $48\cdot4=192$ , it looks like we can expect the number of pushups to quadruple per week. So,

$p_n=4p_{n-1}$

starting with $p_1=3$ .

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$p_n=4^{n-1}p_1\implies p_n=4^{n-1}\cdot3$

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3 years ago

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Alenkasestr [34]

Answer:

Step-by-step explanation:

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= $\frac{3x(x)}{x(x+3)}$ + $\frac{(x-2)(x+3)}{x(x+3)}$