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ryzh [129]
11 months ago
15

Solve each of the following equation

Mathematics
1 answer:
natali 33 [55]11 months ago
7 0
(9)^{2x}(27)^{1-x}=(81)^{2x+1}

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Identify the length of line BA. <br><br><br> A) 12.6<br> B) 5.6<br> C) 22.4<br> D) 8.8
Zielflug [23.3K]

Answer:

B). 5.6

Step-by-step explanation:

3.2/x = 4/7

Then, cross-multiply

4x = (3.2) 7

4x = 22.4

x = 5.6

3 0
3 years ago
A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that co
White raven [17]

Answer:

The value of x would be \frac{3}{5}y or \frac{3}{8}z

Step-by-step explanation:

Given,

x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain  5% gravel mixture,

Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,          

⇒ 0.1x + 0.02y = 0.05(x+y),

0.1x - 0.05x = 0.05y - 0.02y

0.05x = 0.03y

\implies x = \frac{0.03}{0.05}y=\frac{3}{5}y----(1)

Now, resultant mixture is z ton,

i.e. z=x+y

\implies y = z - x

From equation (1),

x=\frac{3}{5}(z-x) = \frac{3}{5}z-\frac{3}{5}x

x+\frac{3}{5}x=\frac{3}{5}z

\frac{8}{5}x=\frac{3}{5}z

x=\frac{3}{8}z

3 0
3 years ago
What is the probability that a five-card poker hand con- tains cards of five different kinds?
kiruha [24]
If by kind you mean suits then the probability is zero.
6 0
2 years ago
Whats the answer to -x² +6x + 18 = 0
emmainna [20.7K]

Answer:

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -6 = -6  

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   2 .

3 0
2 years ago
Read 2 more answers
6. rule (x,y) ---&gt; is the image similar to the original pre-image?
Artyom0805 [142]

Here, we want to check for the relationship between the image and its pre-image

The pre-image is (x,y)

The image is (3x,3y+5)

As we can see, the pre-image is not similar

This is because the transformation applied to the two values are not same

Thus, we have that;

No, the image is not similar to the pre-image as the translations applied to both coordinates are not same

The pre-image was transformed by dilating the x-coordinate of the pre-image by 3 units while the y-coordinate was transformed by dilating the y-coordinate of the pre-image by 3 and translating it upward by 5 units

3 0
1 year ago
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