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adell [148]
3 years ago
8

Are the expressions -0.5(3x + 5) and -1.5x + 2.5 equivalent? Explain why or why not.

Mathematics
1 answer:
Vikki [24]3 years ago
5 0
No, they are not equivalent because if you distribute the -0.5 in the expression -0.5(3x+5) you will get -1.5x-2.5 which is not the same as -1.5+2.5
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I WILL GIVE BRAINLIEST 6TH GRADE MATH
yaroslaw [1]

Answer:

A

Step-by-step explanation: If you count a the answer will be 48

5 0
3 years ago
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Find the dimensions of a rectangle with perimeter 116 m whose area is as large as possible. (if both values are the same number,
creativ13 [48]
The dimensions would be 29 by 29.

To maximize area and minimize perimeter, we make the dimensions as close to equilateral as possible.  

Dividing the perimeter by the number of sides, we have

116/4 = 29

This means that both length and width can be 29.
5 0
3 years ago
As part of his retirement strategy, John plans to invest $210,000 in two different funds. He projects that the moderately high r
Maslowich

Answer:

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

Step-by-step explanation:

Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.

He wants a supplemental income of$11,400 a year.

Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.

interest=\frac{prt}{100}   p = principle , r = rate of interest and t = time

The interest earns at 9% per year= \frac{x\times 9\times 1}{100}

The interest earns at 4% per year=\frac{(210,00-x)\times 4 \times 1}{100}

According to the problem,

\frac{x\times 9\times 1}{100}+\frac{(210,00-x)\times 4 \times 1}{100}= 11400

\Leftrightarrow 9x+840000-4x=11400 \times 100

\Leftrightarrow 5x=1140000-840000

\Leftrightarrow x=\frac{300000}{5}

\Leftrightarrow x=60,000

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

7 0
3 years ago
A particle p is moving along the x-axis the displacement x metres from O can be writen as x=t^5-12t²+9 find the velocity
Lisa [10]

Answer:

v = t (5t^{3} - 24)

Step-by-step explanation:

We are given an expression to solve for the displacement (x), so in order to find velocity (v), we need to differentiate the function.

============================================================

Solving :

⇒ \frac{dx}{dt} = \frac{d}{dx} (t^{5} - 12t^{2} + 9)

⇒ v = (5)t^{5-1} - (2)12t^{2-1} + 0

⇒ v = 5t^{4} - 24t

⇒ v = t (5t^{3} - 24)

Using this equation, we can find the velocity if a value of t is given.

5 0
2 years ago
Circle all the expression that represent a value GREATER THAN 1.
VladimirAG [237]
I know that at least one of them is A but I’m not sure about the rest
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