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Answer:

Step-by-step explanation:

Greatest common factor of 6x and 9y is 3.

6x + 9y = 3(2x + 3y)

:::::

Greatest common factor of 3c and 11c is c.

3c + 11c = (3+11)c

Answer:

Step-by-step explanation:

7/18-2/9=7/18-4/18=3/18=1/6

Answer:

1/6.

Step-by-step explanation:

7/18−2/9=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(7/18, 2/9) = 18

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(7/18×11)−(2/9×22)=?

Complete the multiplication and the equation becomes

7/18−4/18=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

7−4/18=3/18

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using

GCF(3,18) = 3

3÷3/18÷3=1/6

Therefore:

7/18−2/9=1/6

Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

Answer:

x-30

Step-by-step explanation:

Answer: 5(x-2)=40     5x-10 = 40      5x=50    x=10  

Step-by-step explanation:

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Answer:

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...

  c² = a² +b² -2ab·cos(C)

The square root of this gives the side length:

  c = √(a² +b² -2ab·cos(C))

Rearranging the equation, we can obtain an expression for the angle C.

  C = arccos((a² +b² -c²)/(2ab))

These two formulas are used to solve the offered problems.

__

1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506

  AC ≈ 22.0

__

2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249

  BC ≈ 15.0

__

3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)

  ∠B ≈ 30.0°

__

4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)

  ∠B ≈ 137.0°

9514 1404 393

Answer:

  (b)  C = dπ

Step-by-step explanation:

The irrational value π is the ratio between the circumference of a circle and its diameter. That is ...

  π = C/d

Rearranging to get a formula for the circumference, we have ...

  C = dπ

Answer:

slope = 0  

Step-by-step explanation:

To find the slope of a line that passes between a pair of points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the points (3,2) and (-1,2) into the formula and simplify:

[tex]m = \frac{(2)-(2)}{(-1)-(3)} \\m = \frac{2-2}{1-3} \\m = \frac{0}{-2} \\m=0[/tex]

So, the slope is 0.

Answer:

The number of required shelves is 5

You have to find the HCF of 45, 105, and 75.

Answer:

6.75

Step-by-step explanation:

Add up all the numbers in the data set :

8 + 2 + 5 + 12 = 27

Divide 27 by the total numbers in the data set :

27 ÷ 4 = 6.75

Therefore, the mean if the data set is 6.75

Answer:

180 people

Step-by-step explanation:

Total of people surveyed = 1,000

% of people that selected travelling as their favorite hobby = 18 %

Number of people that selected travelling = % that selected travelling of 1,000

= 18% of 1,000

= 18/100 × 1,000

= 180 people

Therefore, 180 people selected travelling as their favorite hobby.

Answer:

B. 5(2x+5)

Step-by-step explanation:

Factor 5 out of 10x+25. and you get 5(2x+5)

Answer:

B. 5(2x + 5

Step-by-step explanation:

If you have any questions feel free to ask in the comments

Answer:

=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)

= P(Z < -0.8333)

= 1 - P(Z < 0.8333)

= 1 - 0.7967

= 0.2033

=> P(X > 68500) = P(Z > (68500-65000)/3000)

= P(Z > 1.1667)

= 0.1210

=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )

= P(-1.5 < Z < 1.5)

= 0.8664

=> for P(X < x) = 0.03, for Z = -1.88

X = mean + Z*Sd = 65000 - (1.88*3000) = 59360

Step-by-step explanation:

I'm not sure if that correct , I really try my best to help

The required percent of tires last at least 60,000 kilometers is about 91%.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,

To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).

This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.

To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:

P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)

Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.

Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913

Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.

Learn more about the standard deviation here:

brainly.com/question/14747159

#SPJ2

Answer:

$551.25

Step-by-step explanation:

$450 x 7.5% = 33.75

33.75 x 3 = 101.25

101.25 + 450 = 551.25

Answer:

The average daily maximum temperature in March is of 61 degrees.

Step-by-step explanation:

The average daily maximum temperature in his hometown in x months after January is given by:

[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]

What is the average daily maximum temperature in March?

March is 3 - 1 = 2 months after January, so this is f(2).

[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]

The average daily maximum temperature in March is of 61 degrees.

Answer:

You need to attach the picture of the angles

Answer:

right

Step-by-step explanation: because ones left and 1 right

the answer is 28 hoped that helped

Answer:

x=28 (B)

Step-by-step explanation:

x = 28 (B)

You need to subtract 19 from both sides to get 28.

Answer:

Darlene's dog weighs 10 pounds.

Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.

Hope this helps.

Answer:

pirwvjihpwrugh

Step-by-step explanation:

wrhfuwhfuhugfrifhi

Answer:

not possible

Step-by-step explanation:

It can't be possible because the ratio would be 50:1 is possible

Answer:

[tex]y = 213 + 0.05x[/tex]

Step-by-step explanation:

Given

[tex]Initial = 213[/tex]

[tex]Rate = 5\%[/tex]

The equation to o this is:

[tex]y = intial +rate * weeks[/tex]

[tex]y = 213 + 0.05x[/tex]

Answer:

free points ty

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

Answer:

(2/3)r=30

r=45cm

Step-by-step explanation:

When trying to find a fraction of something, multiply to get your answer:

(2/3) of r = (2/3)r

The blue ribbon can be represented by both 30cm and (2/3)r cm:

(2/3)r=30

2r=90

r=45cm

Answer:I think 3 years

Step-by-step explanation:

sorry if im wrong

Answer:

It can't be simplified or added together because one is multiplied by x and the other is not

Step-by-step explanation:

Answer:

5/12 of the pizza was leftgot Lila

Step-by-step explanation:

Well Lila ate 1/4 already and his freind ate 1/3

1/4+1/3

3/12+4/12

7/12

The whole pizza is gonna be 1 since a whole pizza

1-7/12

that would be 5/12

Answer:

5/12

Step-by-step explanation:

1/4 + 1/3 + x = 1

7/12 + x = 1

7/12 - 7/12 + x = 1 - 7/12

x = 5/12

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]