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Setler [38]
3 years ago
10

Negative five times a number, x, decreased by the product of two and the quantity of x increased by three is less than or equal

to four decreased by triple the number, x. Which of these represents the inequality needed to solve the for the number and its solution? A. The inequality is −5x−2x+3≤4−3x and its solution is x≥−14 . B. The inequality is −5x−2(x+3)≤4−3x and its solution is x≥−52 . C. The inequality is −5x−2x+3≤4−3x and its solution is x≤−14 . D. The inequality is −5x−2(x+3)≤4−3x and its solution is x≤−52
Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Left Side

if x = a number

five times a number means 5 · a number = 5 · x

add a negative sign; -5·x

simplify; you don't need the multiplication symbol; -5x

minus 2·x = -2x

plus 3 = +3

-5n-2x+3

Sign

less than or equal to = ≤

Right Side

triple of x = 3·x = 3x

4 minus triple of x = 4-3x

4-3x

The final inequality is -5x-2x+3 ≤ 4-3x

♡ Hope this helps! ♡

❀ 0ranges ❀

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natali 33 [55]

According to the solving the correct expression of the given data is:

S = 5T/(T - 5).

<h3>What does a math expression mean?</h3>

At least two numbers as well as variables, one or more arithmetic operations, and a statement are all required components of a mathematical expression. With the help of this mathematical operation, you can multiply, divide, add, or subtract. A sentence has the following structure: (Number or Variable, Math Operator, Number or Variable) is an expression.

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The evaluation of each algebraic expression requires the substitution of one integer for each variable and the execution of the arithmetic operations. The variable x in the preceding example has the value of 6 since 6 plus 6 = 12. Our variables' values can be substituted for the original variables if we are aware of them, allowing us to evaluate the expression with those values instead of the original ones.

<h3>According to the given information:</h3>

Let S be the number of hours it would take Sharon to paint the shed alone.

Kelly alone can paint the shed in T hours,

so she can paint (1/T) of a shed per hour.

Sharon alone can paint (1/S) shed per hour, so, working together.

They can Paint:

(1/T)+(1/S)

it takes them five hours to paint the shed together, they can paint (1/5) shed per hour.

$\frac{1}{S}+\frac{1}{T}=\frac{1}{5}$\\

$\frac{1}{S}+\frac{1}{T}-\frac{1}{T}\\\\=\frac{1}{5}-\frac{1}{T}$

After simplifying this we get:

(T - 5)/5T

the reciprocal of both expressions:

S = 5T/(T - 5)

According to the solving the correct expression of the given data is:

S = 5T/(T - 5).

To know more about arithmetic operation visit:

brainly.com/question/25834626

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7 0
1 year ago
7. If -3 &lt; x &lt; 3, determine c and d for the inequality c &lt; 2x + 1 &lt; d
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Answer:

C= -5

D = 7

Step-by-step explanation:

- 3 < x < 3 \\    \\  - 6 < 2x < 6 \\  \\  - 6 + 1 < 2x + 1 < 6 + 1 \\  \\  - 5 < 2x + 1 < 7

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Answer:

Step-by-step explanation:

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6 0
3 years ago
Plzz help me im going to most more like this because im not understanding it
lisov135 [29]
Hi there!

In order to solve, you can use substitution. This means that you use one equation and solve for one variable, then use that one equation and plug it into the other equation. Here's how we'd do it:

WORK:
x = 12 - y (since x is already solved for, we'll use that to plug into the other given equation.
2(12 - y) + 3y = 29 (using substitution)
24 - 2y + 3y = 29
24 + y = 29
y = 5
Plug the value of y back into the first equation
x = 12 - 5
x = 7

ANSWER:
A - x = 7, y = 5

It seems as though you're having some trouble with these questions, PLEASE MESSAGE ME!! I'd be more than happy to help you work through as many problems as you need until you get the hang of it (plus, it doesn't cost you any points!)

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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3 years ago
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