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3 years ago

How do I solve for x?

Mathematics

1 answer:

siniylev [52]3 years ago

4 0

Answer:

$x=35.25$

Step-by-step explanation:

The two triangles are Similar,

So using the property of similar triangles:

$\\\\\frac{39}{x-6}=\frac{27}{y} =\frac{24}{18}$

To Find 'x':

$\frac{39}{x-6} =\frac{24}{18}$

On Cross multiplication:

$39*18=24(x-6)\\\\39*18=24(x)+24(-6)\\\\702=24x-144\\$

Adding '144' both sides:

$702+144=24x\\\\24x=846\\\\x=\frac{846}{24} \\\\$

$x=35.25$

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If a=-4h^2-h+5 and b=8h-3h+12 find a-b

Flauer [41]

Answer:

4h^2-6h-7

Step-by-step explanation:

$(4h^{2} -h+5) - (8h-3h+12)\\4h^{2} -h+5 - 8h+3h-12\\4h^{2}-9h+3h-7\\4h^{2}-6h-7\\$

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3 years ago

Elijah waited until June u,2017 to file his 1040 for tax year 2016. His balance due is $88. What is the failure to file penalty?

Ad libitum [116K]

The failure to file penalty refers to the amount of money that a tax payer has to pay as penalty for not filing his tax before the assigned deadline. The failure to pay penalty is 0.5% of the tax balance that is owned per month.
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3 years ago

Due to a manufacturing error, four cans of regular soda were accidentally filled with diet soda and placed into an 18 pack. Supp

Bess [88]

Answer:

(a) 0.5948

(b ) 0.0392; A. Yes , because the probability is less than 0.05

Step-by-step explanation:

Probability of regular soda; P (regular soda) = 4/18

Probability of diet soda; P (diet soda) = 14/18

Let R = Outcome of Regular soda

D = Outcome of Diet soda

P (R) = 4/18

P(D) = 14/18

Note that it is a probability without replacement situation

The total sample space for randomly selecting two cans from the 18 packs is given as :

R R

R D

D R

D D

(a.) Determine the probability that both contain diet soda.

P(both Diet Soda) = P (DD)

= 14/18 x 13/17

= 0.59477

≈ 0.5948

(b.) Determine the probability that both contain regular soda.

P (both regular soda) = P (R R)

= 4/18 x 3/17

= 0.039215

≈ 0.0392

Would this be unusual?

A. Yes , because the probability is less than 0.05

(c.) Determine the probability that exactly one is diet and exactly one is regular

P(exactly one regular) = P(RD) + P(DR)

= (4/18 x 14/17) + (14/18 x4/17)

= 0.36601

≈ 0.3660

4 0

3 years ago

5×(3-2)=, what is itin expanded form, Explain

Juli2301 [7.4K]

I hope this helps you

5×(3-2)=5×1=5

or

5×3+5×(-2)=15+(-10)=15-10=5

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3 years ago

Plz help!! first right answer for both gets the award<br>

Shalnov [3]

Answer:

A:in order:24,2,12,2,3 in order:84,2,42,7,3 B:168

Step-by-step explanation:

A)divide the top number by the bottom left

B)LCM of 24 and 84

6 0

3 years ago