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IrinaVladis [17]

2 years ago

8

caroline bought 3/5 of a yard of purple fabric and 1/3 of a yard of yellow fabric. how much more purple fabric than yellow fabri

c did she buy?

1 answer:

soldier1979 [14.2K]2 years ago

5 0

Answer:

4/15 yards more

Step-by-step explanation:

3/5 - 1/3

5 and 3 have a common denominator of 15.

3/5 = 9/15 1/3 = 5/15

9/15 - 5/15 = 4/15

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Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

sweet-ann [11.9K]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

<u>Given:</u>

$2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)$

<u>Use the Power Rule Law:</u>

$log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)$

<u>Use the Quotient Rule Law:</u>

$log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})$

<u>Use the Product Rule Law:</u>

$log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})$

<u>Simplify:</u>

$log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})$

$\frac{4}{9}=\frac{8\sqrt{x}}{9}$

$4=8\sqrt{x}$

$\frac{4}{8}=\sqrt{x}$

$\frac{1}{2}=\sqrt{x}$

$\frac{1}{4}=x$

5 0

1 year ago

The dimensions of a rectangle can be given by x+7 and x+2. If the area of the rectangle is 66 square inches, what are the dimens

Nadusha1986 [10]

to solve for the dimensions (x+7)(x+2)=66,

we can first use the foiling method to simplify the left side.

x^2 + 2x + 7x + 14 = 66

x^2 + 9x + 14 = 66

now, subtract 66 from both sides.

x^2 + 9x - 52 = 0

now, split this into two parentheses.

(x + 13)(x - 4)

since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.

7 0

2 years ago

Determine if the expression – 6y5 z5 – is a polynomial or not. If it is a

sasho [114]

Answer:

it is not

Step-by-step explanation:

that is where I truly believe

8 0

2 years ago

Find the value of x, question and choices attached above

Levart [38]

Answer:

<h2>E. 22</h2>

Step-by-step explanation:

<em>Look at the picture</em>.

The lines <em>l</em> and <em>m</em> are parallel, therefore alternate interior angles are congruent.

Therefore $\beta=50^o$

Supplementary angles add up to 180°.

Therefore

$(5x-16)+\theta=180$ <em>add 16 to both sides</em>

$5x+\theta=196$ <em>subtract 5x from both sides</em>

$\theta=196-5x$

We know: the sum of the triangle angle measures is 180°.

Therefore we have the equation:

$50+2x+196-5x=180\\\\-3x+246=180\qquad\text{subtract 246 from both sides}\\\\-3x=-66\qquad\text{divide both sides by (-3)}\\\\x=22$

8 0

2 years ago

What is the value of x in the equation?

mojhsa [17]

The answer is D, 1 3/5

6 0

1 year ago