In a hotel a servant needs to clean 30 rooms in 3 hours. How many rooms a servant needs to clean in 6 hours

Answer:

x < x and -3x < -3x

Step-by-step explanation:

x cannot be less than itself so there would be no solution.

Answer:

the distance from a to c is 10

Step-by-step explanation:

this is because the line in the middle divides the angle into equal sizes what the marks mean on it    

Answer:

the distance from A to C is 10units

Step-by-step explanation:

A to B and A to C share the same distance

Answer:

23) 7b+14

yea I guess the rest remain the same

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]-4x+7=11[/tex]

Subtract 7 from both sides:

[tex]-4x+7-7=11-7[/tex]

[tex]-4x=4[/tex]

Divide both sides by -4:

[tex]\frac{-4x}{-4}=\frac{4}{-4}[/tex]

[tex]x=-1[/tex]

Answer: if x = O in the denominator of the first term or if x = -2 in the second term, the results are undefined.

Step-by-step explanation: If the denominator of a fraction is 0 there is no number that solves it because it is impossible to divide by zero.

Answer: ½ x + 6 < 34 ; x < 56

Step-by-step explanation:

Answer:

2 m/s

Step-by-step explanation:

Notice that the slope of the time period from 0s to 20s is linear.  This means we can simply look at the distance traveled over the amount of time.  So the distance and time both start at 0.  At 20s, the distance is 40m.

So we can say the following to find the slope:

(40m - 0m) / (20s - 0s) == 40m / 20s == 2 m/s

Hence, the average speed between 0s and 20s is 2m/s.

Cheers

Answer:

The prove of the given identity is shown below:

Step-by-step explanation:

It seems that the question involves the proving of a trigonometric identity.

Therefore, we are going to work independently on each side of the equal sign.

We start by considering [tex]cos(\alpha)=cos(\frac{\alpha}{2} +\frac{\alpha}{2})[/tex] since the angle alpha is the same as the addition of two halves of it. Then we apply the identity for the cosine of an addition of angles: [tex]cos (\frac{\alpha}{2} +\frac{\alpha}{2})=cos(\frac{\alpha}{2})*cos(\frac{\alpha}{2})-sin(\frac{\alpha}{2})*sin(\frac{\alpha}{2})= cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})[/tex]

and now we use the Pythagorean identity to replace the cosine square expression:

[tex]cos^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})[/tex]

in the difference of square trig functions we had arrived to:

[tex]cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})--sin^2(\frac{\alpha}{2})=1-2\,sin^2(\frac{\alpha}{2})[/tex]

We have arrived at the exact same expression the original identity shown on the righthand side of the equal sign, so we have proved the identity.

Answer:

50

Step-by-step explanation:

The coefficient is amount of money in m (months)

The 50 is the amount of money

They are depositing $50 per month, 50m

Therefore, the coefficient is 50.

Answer:

50

Step-by-step explanation:

K is the midpt. of AB.

Its in the middle of AB so its the midpt.

Answer:

64

Step-by-step explanation:

5+3=8

8*8=64

Answer:

the answer is 64

Step-by-step explanation:

Multiply.

0.25 * 5 = $1.25 in savings

So whatever the original price was for each frozen pizza, you multiply that by 5 and subtract that by the total savings.

Best of Luck!

Answer:

1.25

Step-by-step explanation:

0.25*5

Answer:

Add

−

6 n and 5n.− 32m − n

Step-by-step explanation:

The average of anything is calculated by adding up all the terms in the data set and dividing by the amount of terms in the data set.

In this problem,

The average = $1000

the amount of terms = 3

x = the amount earned Sunday

($1073 + $1108 + x) / 3 = $1000

First, multiply both sides by 3

$1073 + $1108 + x = $3000

Add together like terms

$2181 + x = $3000

Subtract $2181 from both sides.

x = $819

The restaurant needs to earn $819 on Sunday to have an average of $1000

Answer:

3.6 miles

Step-by-step explanation:

since his house is 8 inches away and 2 inches =0.9miles

we just need to multiply. Divide 8 by 2 .

4× 9 = 36 so just add the decimal

0.9× 4= 3.6 miles

Answer: 0.001 or 1/1000

Since it is a negative exponent and -3 so it is in the thousandths, so 1/1000 or 0.001.

Have a good day! : )

Answer:

835  

5 and up is rounded higher.

Answer:

1

Step-by-step explanation:

[tex]\frac{\sqrt{48} }{4\sqrt{3} }=\frac{\sqrt{16} }{4}=\frac{4}{4}=\frac{1}{1}=1[/tex]

Answer:

  B(-2, -7)

Step-by-step explanation:

The ratio requirement means ...

  (B-A)/(C-B) = 3/2

  2(B-A) = 3(C-B) . . . . cross multiply

  2B -2A = 3C -3B . . . eliminate parentheses

  5B = 2A +3C . . . . . . add 3B+2A

  B = (2A +3C)/5 . . . . divide by 5

Now that we have a formula for B, we can fill in the given point values:

  B = (2(4, 2) +3(-6, -13))/5 = (8-18, 4-39)/5 = (-10, -35)/5 = (-2, -7)

The coordinates of B are (-2, -7).

Answer:

x ≥ x/y

Step-by-step explanation:

It somehow varies with variation.

Answer:

m= -4

Step-by-step explanation:

-2m-14=3m+6

-14=5m+6

-20=5m

m= -4

Answer:

96 books

Step-by-step explanation:

because when you have 48 books on 6 shelves it is 8 books per shelf so it is 96 because 12 times 8 equals 96

Answer: 15 degrees

Step-by-step explanation:

Answer:

the region of the circle in polar coordinate can be expressed as:

[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]

Step-by-step explanation:

Given that:

[tex]x^2 +y^2 = 11x[/tex]

This implies that :

[tex](x-5.5)^2 + y^2 = 5.5^2[/tex]

center (5.5, 0) and radius = 5.5

The relation between the cartesian coordinates (x,y) and the polar coordinates (r, θ) is as follows:

x = rcosθ

y = rsinθ

Thus, [tex]x^2 + y^2 = r^2[/tex]

[tex]x^2 + y^2 = 11x[/tex]

[tex](rcos \theta)^2 + (r sin \theta)^2 = 11(rcos \theta)[/tex]

[tex]r^2 = 11r cos \theta[/tex]

Thus, the angle θ runs between [tex]- \dfrac{\pi}{2}[/tex] to [tex]\dfrac{\pi}{2}[/tex]

Therefore, the region of the circle in polar coordinate can be expressed as:

[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]

The required region is,

[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]

Given circle is,

[tex]x^2 +y^2 = 11x[/tex]

Computation:

Solving the given circle,

[tex]x^2-11x+y^2=0\\x^2-2(\frac{11x}{2})+y^2=0[/tex]

Adding [tex]\frac{11}{2}[/tex] both sides we get,

[tex]x^2-2(\frac{11x}{2})+\frac{121}{4}+y^2=\frac{121}{4}\\(x-\frac{11}{2})^2+y^2=(\frac{11}{2})^2[/tex]

It represents a circle having the radius [tex]\frac{11}{2}[/tex] and centred at [tex](\frac{11}{2},0)[/tex]

So, in polar coordinate,

[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]

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Answer:

Yes

Step-by-step explanation:

Answer:

[tex]f \leqslant 3[/tex]

Step-by-step explanation:

[tex]5f + 7 \leqslant 22 \\ 5f \leqslant 15 \\ f \leqslant 3[/tex]

Answer:

-17/60

Step-by-step explanation:

(-1/3)+1/4+(-1/5)

Answer:

Step-by-step explanation:

Unlikeley: 0.6

likely: 0.35

Impossible: 0

Certain: 0.5

Equally: 0.9

unlikely: 1

Hope This Helps! :)