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3 years ago

Place the following steps in order to describe how to solve the following equation?!

Mathematics

1 answer:

vladimir1956 [14]3 years ago

3 0

1) distribute 2 to each term within the parentheses

2) combining like terms ( which means subtract a 6-2)

3) subtract 4 from both sides of the equation

4) divide both sides of the equation by 4

Final answer should be ( x = 1/4 )

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To make extra money Jeremy is building bookcases for some teachers at his school. If Jeremy builds 1 bookcase in 45 minutes, whi

babymother [125]

1575 would be about correct!

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3 years ago

Read 2 more answers

Solve for x in the given interval.<br><br> sec x= -2√3/3, for π/2 ≤x≤π

drek231 [11]

Answer:

b. $x=\frac{5\pi}{6}$

Step-by-step explanation:

The given function is

$\sec x=-\frac{2\sqrt{3} }{3},\:\:for\:\:\frac{\pi}{2}\le x \le \pi$

Recall that the reciprocal of the cosine ratio is the secant ratio.

This implies that;

$\frac{1}{\cos x}=-\frac{2\sqrt{3} }{3}$

$\Rightarrow \cos x=-\frac{3}{2\sqrt{3} }$

$\Rightarrow \cos x=-\frac{\sqrt{3}}{2}$

We take the inverse cosine of both sides to obtain;

$x=\cos^{-1}(-\frac{\sqrt{3}}{2})$

$x=\frac{5\pi}{6}$

4 0

3 years ago

For a certain candy, 15% of the pieces are yellow, 1010% are red, 2020% are blue, 55% are green, and the rest are brown

MatroZZZ [7]

A) the probability it is brown would be 50%; the probability it is yellow or blue would be 35%; the probability it is not green is 95%; the probability it is striped is 0%.
B) the probability of all brown would be 12.5%; the probability that the third one is the first red one drawn is 8.1%; the probability that none are yellow is 61.4%; the probability that at least one is green is 14.3%.

Explanation:
A) The probability that it is brown is the percentage of brown we have. Brown is not listed, so we subtract what we are given from 100%:
100-(15+10+20+5) = 100-(50) = 50%. The probability that one drawn is yellow or blue would be the two percentages added together: 15+20 = 35%. The probability that it is not green would be the percentage of green subtracted from 100: 100-5=95%. Since there are no striped candies listed, the probability is 0%.
B) Since we have an infinite supply of candy, we will treat these as independent events. All 3 being brown is found by taking the probability that one is brown and multiplying it 3 times:
0.5*0.5*0.5 = 0.125 = 12.5%.
To find the probability that the first one that is red is the third one drawn, we take the probability that it is NOT red, 100-10 = 90% = 0.9, for the first two, and the probability that it IS red, 10% = 0.1, for the last:
0.9*0.9*0.1 = 0.081 = 8.1%.

The probability that none are yellow is found by raising the probability that the first one is not yellow, 100-15=85%=0.85, to the third power:

0.85^3 = 0.614 = 61.4%.

The probability that at least one is green is computed by subtracting 1-(probability of no green). We first find the probability that all three are NOT green:
0.95^3 = 0.857375
1-0.857375 = 0.143 = 14.3%.

3 0

3 years ago

Solve the following equation for s P=b+2s

laiz [17]

Answer:

s=P-b/2

Step-by-step explanation:

P-b=2s

P-b/2=s

3 0

2 years ago

Find the center of mass of a thin plate of constant density covering the given region bounded by lines thru the following points

goldenfox [79]

Answer:

center of mass = ( 1 ,2 )

Step-by-step explanation:

attached below is the detailed solution of the problem

first we have to determine the value of m

M = ∫∫ dA

= 6

Mx = 12

attached solution below

My = 6

hence center of mass of a thin plate

x , y

= My/m , Mx/m

= 6/6 , 12/6

= ( 1, 2 )

4 0

3 years ago