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3 years ago

Solve for x x-xy=z Hint: reverse distribution to get x alone

Mathematics

1 answer:

dimulka [17.4K]3 years ago

5 0

<h3>Answer: x = z/(1-y)</h3>

Work Shown:

x - xy = z

x*1 - x*y = z

x*(1 - y) = z .... distributive rule in reverse

x = z/(1-y) ..... divide both sides by (1-y)

The distributive rule is a*(b+c) = a*b+a*c. You can also say a*(b-c) = a*b-a*c. In this case, we factored out the common factor x.

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Express the following in standard form.

salantis [7]

To write in standard form, we have to move the decimal point in

3.42

over 3 places to the left since our exponent is 10 3

This gives us our answer of

0.00342

Hope this helps.

6 0

2 years ago

Find 3/8(3/4+5/6)−1/2. Write your answer as a fraction in simplest form.

AnnZ [28]

3/32 I think. I hope this helps! :)

4 0

2 years ago

How many 1 1/2 liter bottles of water does it take to fill a 16 liter jug

timurjin [86]

11 bottles are needed to fill a 16 liter jug

Solution:

Given that, there is a 16 liter jug

There are $1\frac{1}{2}$ liters of bottle

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

$\rightarrow 1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2} = 1.5$

Thus the bottle is of 1.5 liter

We have to find the number of 1.5 liter bottles needed to fill 16 liter jug

Divide 16 by 1.5 to get result

$Number\ Of\ Bottles = \frac{16}{1.5} = 10.67 \approx11$

Thus 11 bottles are needed to fill a 16 liter jug

7 0

3 years ago

How many 2/3- cup servings are in 6 cups of yogurt

Citrus2011 [14]

6 / (2/3)
= 6 * 3/2
= 18/2
= 9

answer

there are 9 (2/3 cup) servings in 6 cups of yogurt

8 0

2 years ago

Read 2 more answers

Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows t

andrew-mc [135]

Answer:

segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

A(-3,3)→A'(5,3);
B(1,-3)→B'(1,3);
C(-3,-3)→C'(5,-3).

2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

A'(5,3)→A''(10,6);
B'(1,3)→B''(2,6);
C'(5,-3)→C''(10,-6)

See attached diagram for details

Note that

$A''B''=2AB\\ \\A''C''=2AC\\ \\B''C''=2BC,\\ \\AB=\sqrt{(-3-1)^2+(3-(-3))^2}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}$

$\dfrac{AB}{A''B''}=\dfrac{2\sqrt{13}}{2\cdot 2\sqrt{13}}=\dfrac{\sqrt{13}}{2\sqrt{13}}$

7 0

3 years ago