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4 years ago

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

Mathematics

2 answers:

Gelneren [198K]4 years ago

7 0

Answer:

Step-by-step explanation:

-0.5(3x + 5) and -1.5x + 2.5

-0.5(3x + 5)...distribute the -0.5 thru the parenthesis

-1.5x - 2.5

no, these are not equivalent.... one is -1.5x + 2.5 and the other is -1.5x - 2.5....not the same

Anna71 [15]4 years ago

3 0

Answer:

Both expressions are not equal

Step-by-step explanation:

First expression is

-0.5(3x + 5)

By multiplying

-1.5x - 2.5

2nd expression is

-1.5x + 2.5

Only Sign is different with 2.5 in both cases

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The length of a rectangle exceeds its width by 1

Luba_88 [7]

Answer:

Width equals 11, and length equals 12.

Step-by-step explanation: It is helpful to memorize your multiplication tables up to 12. I personally couldn't figure out a formula for this, but I knew that 12 x 11 equals 132, and the length is greater than the width, so length is 12 and width is 11. Hopefully somebody else can figure it out. P.S. I meant the formula, not the answer, my answer is correct.

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3 years ago

Read 2 more answers

What is the value of x in the equation three-fourths (one-fourth x 8) minus (one-half x 2) = startfraction 3 over 8 endfraction

Oksi-84 [34.3K]

The value of x in the equation is x=-44.

The given equation is $\frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4}$ .

An algebraic expression in mathematics is an expression that's made from variables and constants, together with algebraic operations (addition, subtraction, etc.). Expressions are made of terms.

Firstly, apply the distributive property as a(b+c)=ab+ac and get

$\begin{aligned}\frac{3}{4}\times \frac{1}{4}x+\frac{3}{4}\times 8-\frac{1}{2}x-2&=\frac{3}{8}\times 4-\frac{3}{8}\times x-\frac{1}{4}\\ \frac{3x}{16}+6-\frac{x}{2}-2&=\frac{3}{2}-\frac{3x}{8}-\frac{1}{4} \end$

Now, rearrange the terms by taking variable terms on the left-hand side and constant terms on the right-hand side as

$\frac{3x}{16}-\frac{x}{2}+\frac{3x}{8}=\frac{3}{2}-\frac{1}{4}-6+2$

Further, simplify the above expression by taking L.C.M as

$\begin{aligned}\frac{3x-8x+6x}{16}&=\frac{6-1}{4}-4\\ \frac{x}{16}&=\frac{5-16}{4}\\ \frac{x}{16}&=\frac{-11}{4}\end$

Then, multiply both sides with 4 and get

$\begin{aligned}4\times \frac{x}{16}&=4\times \frac{-11}{4}\\ \frac{x}{4}&=\frac{-11}{1}\end$

Furthermore, cross multiply both sides and get

$x=-44$

Hence, the value of x in the equation which is given $\frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4}$ is x=-44.

Learn about algebraic expression from here brainly.com/question/8690932

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2 years ago

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mote1985 [20]

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