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3 years ago

Find the value of x what makes DEF ~ XYZ

Mathematics

1 answer:

laila [671]3 years ago

8 0

Answer:

x = 4

Step-by-step explanation:

$\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4$

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Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

3 years ago

David has twice as many cousins as Becky.

Sonja [21]

Answer:

24 cugini

Step-by-step explanation:

6x2=12

12x2=24

3 0

3 years ago

Read 2 more answers

-0.03x^2+1.53x=0 how would i go about solving for x?

inna [77]

Answer:

x = 0, 51

Step-by-step explanation:

→First, you need to factor out the GCF (Greatest Common Factor), which is -0.03x, like so:

-0.03x (x - 51) = 0

→Remove the -0.03 by divide it by both sides:

x(x - 51) = 0

→Separate each, like so:

x = 0

x - 51 = 0

→Solve for x:

x - 51 = 0

x = 51

Your solutions are, 0 and 51.

7 0

3 years ago

10.6666666667 as a fraction

Katena32 [7]

Answer:

10.6666666667 as a fraction equals 106666666667/10000000000

7 0

3 years ago

Read 2 more answers

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n? A.6 B.18 C.30 D.36

ch4aika [34]

180 is 6x larger than 30, and 30 is 6x larger than 5. so y is 6x larger than x, and n is 30

7 0

3 years ago