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1 year ago

3(x+4)=3(x)+3(4) distributive property

Mathematics

1 answer:

jok3333 [9.3K]1 year ago

8 0

Answer:

3(x + 4) = 3(x) + 3(4)
3(x + 4) = 3x + 12
3x + 12 = 3x + 12

Subtract 12 from both sides
3x + 12 - 12 = 3x + 12 - 12

3x = 3x
3x - 3x = 3x - 3x
= 0

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Jeremy is given the choice between two chocolates, X and Y. Which one should he choose to get the most chocolate possible, and h

inn [45]

Answer:

A. It does not matter. The volumes of X and Y are equivalent.

Step-by-step explanation:

Volume of the pyramid = Base area × Height

For rectangular pyramid X:

Given Height of pyramid = 10cm

Base area = Length × Breadth

Base Area = 6cm×5cm = 30cm²

Volume = 10×30

Volume of the pyramid = 300cm²

For pyramid Y:

Given Height = 10cm

Base area = 1/2 base×height

Base area ,= 1/2 × 7.5×8

Base area = 30cm²

Volume of the triangular pyramid = 10×30 = 300cm³

We can see that the volume of X and Y is the same, therefore the type of chocolate Jeremy chose doesn't matter.

6 0

3 years ago

Plz Help I need help

3241004551 [841]

Answer:

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3 years ago

Researchers studying the effect of diet on growth would like to know if a vegetarian diet affects the height of a child. Twelve

Eva8 [605]

Answer:

a) $t_{0.035},11=\pm2.201$

b) $t=-2.963$

c) $Reject\ H_0\ when\ \alpha=0.05$

d) $t$

$-2.963$

Step-by-step explanation:

From the question we are told that:

Sample size $n=12$

Mean $\=x=42.5$

Standard deviation $\sigma=3.8$

Population mean $\mu=45.75$

Significance $\alpha=0.05$

Generally the hypothesis given by

$H_0;\mu=45.75\\H_1:\neq =45.75$

Generally the equation for test statistics is mathematically given by

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

$t=\frac{42.5-45.75}{3.8/\sqrt{12} }$

$t=-2.963$

Generally the Critical value is mathematically given by

$t_{\alpha/2},d_t$

$\alpha=0.05 \\\alpha/2=0.025\\d_t=n-1=11$

$t_{0.035},11$

From table

$t_{0.035},11=\pm2.201$

Therefore

$t$

$-2.963$

$Reject\ H_0\ when\ \alpha=0.05$

4 0

3 years ago

Find x

GuDViN [60]

Answer:

x = -5.6

Step-by-step explanation:

Using the given coordinates in the given slope formula, we have ...

(y2 -y1)/(x2 -x1) = -8/5 . . . . . using the given slope

<h3>Setup</h3>

(4 -x)/(3 -9) = -8/5 . . . . substituting (9, x) for (x1, y1) and (3, 4) for (x2, y2)

<h3>Solution</h3>

Multiplying by 30, we have ...

5(x-4) = -48

5x -20 = -48 . . . . eliminate parentheses

5x = -28 . . . . . . . . add 20

x = -5.6 . . . . . . . . divide by 5

<em>Additional comment</em>

In the attachment, we have written the point-slope equation of the line, then found the point on that line that has a x-coordinate of 9. We see the y-coordinate of that point is -5.6, as computed above.

If you swap the points (x1, y1) and (x2, y2), then the slope equation ends up with fewer minus signs to handle.

3 0

2 years ago

Please help I need this soon

allochka39001 [22]

Answer: C = -6.3

Step-by-step explanation:

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3 years ago