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3 years ago

What expression is equivalent to -3+2/3y-4-1/3y

Mathematics

1 answer:

Neko [114]3 years ago

6 0

Answer:

The simplified form of the given expression is $-7 + (\frac{1}{3})y$

Step-by-step explanation:

Here, the given expression is:

$-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y$

Now to simplify the given expression, perform operations on LIKE TERMS:

We get:

$-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y =( -3 - 4) + [(\frac{2}{3}) y- (\frac{1}{3})y]\\= - 7 + [(\frac{2}{3}) -(\frac{1}{3})]y = -7 + [\frac{2-1}{3}]y\\ = -7 + (\frac{1}{3})y\\ \implies -3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y = -7 + (\frac{1}{3})y$

Hence the simplified form of the given expression is $-7 + (\frac{1}{3})y$

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Need a little help with one please

Pani-rosa [81]

Answer:

That would be the side-side-side (SSS) postulate, which states that if all the sides of a triangle are in a fixed ratio to all the corresponding sides of another triangle, then the two triangles are said to be congruent.

Step-by-step explanation:

Looking at triangles ABC and DEF, we notice that:

$\frac{AB}{DE} = \frac{AC}{DF}=\frac{BC}{EF}$

since

$\frac{3}{18} = \frac{6}{36}=\frac{7}{42}=\frac{1}{6}$

Let me know if you have further questions.

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3 years ago

9x+1/2y51<br> 7x+1/3y=39

olga2289 [7]

What’s the question though lol

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3 years ago

At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician

Serhud [2]

Answer:

The value of the test statistic is $t = 1.97$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 250$

The alternate hypotesis is:

$H_{1} \neq 250$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the null hypothesis value, $\sigma$ is the standard deviation and n is the size of the sample.

In this problem:

$X = 251.6, \mu = 250, \sigma = 5.4, n = 44$

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}$

$t = 1.97$

The value of the test statistic is $t = 1.97$

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4 years ago

A homemade loaf of bread turns out to be a perfect cube. Five slices of bread, each 0.6 inch thick, are cut from one end of the

erastovalidia [21]

A cube has all sides of equal length.

So let the side be x

that will be length = width = height = x

Now, when we cut the loaf into 5 equal slices, the length and height of the slices are the same as the original loaf. But the width will become less with each slicing. Here the width corresponds to the thickness of the slices.

For each slice the dimensions are -

Length = x

height = x

width = 0.6

Volume of the original loaf is x³.

Volume of 5 slices is 5(x * x * 0.6).

Volume that is left after the cutting the slices is 235 inch³.

So, equation of the volume is=

x³ - 5(0.6x²) = 235

Solve for x using this equation.

x³ - 3x² = 235

x³ - 3x² - 235 = 0

Using a graph calculator to find the roots, we get

x = 7.35

Hence the dimensions of the original loaf is 7.35 inches for each side.

Please find attached the graph.

7 0

3 years ago

Steps factoring polynomials using gcf for 9x²+9x

Molodets [167]

Answer:

Step-by-step explanation:

Step 1: Identify the GCF of the polynomial.

Step 2: Divide the GCF out of every term of the polynomial. ...

Step 1: Identify the GCF of the polynomial. ...

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Step 1: Identify the GCF of the polynomial. ...

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6 0

3 years ago