There are 3 boys for every 4 girls in the library. If there is 91 people in the library
a) How many boys are there in the library?

b) How many girls are there in the library?

Answer:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.

Step-by-step explanation:

hope i could help

Answer: y - 4x = 9 in standard form is -y + 4x = -9

Answer:

54 minutes

Step-by-step explanation:

Hope I helped!

I can almost guarantee this answer is correct.

Have a nice day!

Answer:

54 minutes

Step-by-step explanation:

Every 3 minutes she reads 1

18x3=54

Hope it helps

Answer:

False

Step-by-step explanation:

Khan Academy

The given statement is False.

'In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.'

According to the given problem,

Median = 6

Total count = 11

Range = 0

Now, range is the difference between the highest value and the lowest value.

Since, the median is 6, the highest number must be greater than 6. This would not have been possible if the lowest value was 0. If the lowest count had been 0, then the highest count had to be 4.
Hence, we can conclude, the fewest cars sold cannot be 0.

Learn more about median here: https://brainly.com/question/15923434

#SPJ2

Answer:

∠3 and ∠1 are correct

Step-by-step explanation:

adjacent angles are next to each other with a common vertexand side

Answer:

33.8

Step-by-step explanation:

use long division

Answer:

33.8

Step-by-step explanation:

top in bottom out

5[tex]\sqrt{169\\}[/tex]

5 goes into 16 3 times therefore leaving you with 1. bring the 9 down next to the 1 and you have 19. 5 goes into 19 3 times so its 19-15=4 then you bring a zero next to the 4 and you get 40. 5 goes into 40 8times therefore leaving you with 33.8

Hoped this made sense :)

This question is incomplete, the complete question is;

The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12/13 , and the y-coordinate is negative.

Answer: P( x, y ) = ( -5/13, 12/13 )

Step-by-step explanation:

Given that;

p( x, y ) is on the unit circle,

Radius of the circle must be 1

so the equation x² + y² = r²

x = 12/13 and r = 1

(12/13)² + y² = 1²

y² = 1 - (12/13)²

y = √ [ 1 - (12/13)² ]

y =  ±5/13

since the y-coordinate is negative y = -5/13

Therefore, P( x, y ) = ( -5/13, 12/13 )

Answer:

x = 59.4°

Step-by-step explanation:

Reference angle = x

Side opposite to x° = 22

Adjacent side = 13

To find x, apply trigonometric ratio formula. Thus:

[tex] tan(x) = \frac{22}{13} [/tex]

[tex] x = tan^{-1}(\frac{22}{13}) [/tex]

[tex] x = 59.4 [/tex] (nearest tenth of degree)

Answer:

4

Step-by-step explanation:

Answer:

The answer is,

[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]

Hello!

We can graph by finding critical points - intersections, y-intercepts, x-intercepts.

Find the intersection point by setting the two equations equal to each other:

-4x + 3 = x - 2

Subtract x from both sides:

-5x + 3 = - 2

Subtract 3 from both sides:

-5x = -5

Divide both sides by -5:

-5x/(-5) = -5/(-5)

x = 1

Find the y-value of intersection by plugging in x = 1 into an equation:

y = 1 - 2 = -1

Intersection at (1, -1)

Find the x and y intercepts of each equation:

y = -4x + 3

Set x to 0 to find the y-intercept:

y = -4(0) + 3 = 3

Set y to 0 to find the x-intercept:

0 = -4x + 3

-3 = -4x

x = 3/4

Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).

y = x - 2

Set x to 0 to find the y-intercept:

y = 0 - 2 = -2

Set y to 0 to find the x-intercept:

0 = x - 2

x = 2

Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).

Graph the two equations with the solved critical points:

y = -4x + 3

--> (1, -1)

--> (0, 3)

--> (3/4, 0)

y = x - 2

--> (1, -1)

--> (0, -2)

--> (2, 0)

**Graphed below**

Answer:

D.By finding the unit rate and multiplying it by 7.

Step-by-step explanation:

Answer:

f(5) is equal to 5.

Step-by-step explanation:

You can see this by looking at 5 on the horizontal axis, and seeing where the graph crosses vertical line for that value.  If you look closely, you'll see that the x value of 5 has a y value of 5 as well.

Answer:

g(-1)=1/1296

g(.25)=1/6

g(0)=1

g(.25)=6

g(.50)=36

g(.75)=216

​g(1)=1,296

:)

Answer:d

Step-by-step explanation:

Both aren’t related But they do have some impact on eachother

Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question

Step-by-step explanation:

Answer:

0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12

Step-by-step explanation:

Given :

Number of monkeys, n1 = 10

Probability of fall, off ; p(m) = 35% = 0.35

Number of kangaroos, n2 = 5

Probability of fall, off : p(k) = 20% = 0.2

1.) A monkey and kangaroo falls off;

p(m) * p(k) = 0.35 * 0.2 = 0.07

2.) probability that monkey will not fall off;

1 - p(m) = 1 - 0.35 = 0.65

3.) probability that a monkey falls off every one of seven nights :

P(m) = 0.35 ; for 7 nights ;

0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875

4.)

P(x ≥ 1) = p(1) + p(2) +... + p(10)

Using binomial probability calculator :

n = 7*10 = 70 ; p = 0.35

P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12

Answer:

Explained below

Step-by-step explanation:

A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.

Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.

Now, for example let's consider the number 5.

It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c

Now, the opposite of these fractions like we are told to check in the question results in;

1/5; 2/10; 4/20; -1/-5;

The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.

Answer

ADC and BDC

Explain:

Answer:

Same like other users

Answer:

B. The mean is less than the median.

Step-by-step explanation:

Calculate the mean: 2.8

Calculate the median: 3

Therefore, the mean is less than the median.

Answer:

95

Step-by-step explanation:

Ok so

so firs what we do is

1150/12 and ignore remainder

95 and remainder is 10

therefore we have 95 trucks full and 10 cars in the last truck

Answer:

48 years old

Step-by-step explanation:

Let x = Mikhail's age

then x-15 = Gabrielle's age

x + x-15 = 81

2x-15 = 81

2x = 96

x = 48 years old

Answer:

44

Step-by-step explanation:

x+(x-12)=76

2x-12=76

2x=76+12

2x=88

x=88/2

x=44

Answer:

98

Step-by-step explanation:

Answer:

296

Step-by-step explanation:

I hope this helps you out!

Answer:

hope this hlp u

Step-by-step explanation:

the last one shows the radius

Answer:

figure 4 shows the radius

Answer: 10

Step-by-step explanation:

Each mile has 4 quarter miles.

2.5 miles are covered.

4×2.5=10

Answer:

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of 11487.

Step-by-step explanation:

The population of the town after x years is given by the following equation:

[tex]P(x) = 5000(1.181)^{0.1x}[/tex]

After 10 years, the population of the town will be of:

This is P(10). So

[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of:

This is P(50). So

[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]

After 50 years, the population of the town will be of 11487.

Answer:

ne hamla que estas no habla espanol

Step-by-step explanation:

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