20 points
The ratio of blue marbles to red marbles in a bag is 11:9. If there are 99 blue
marbles in the bag, how many red marbles are there?
18
35
81
121

Answer:

754

Step-by-step explanation:

If the number in the one's place is 5 or greater, the number is rounded up to the next ten. If the number is less than 5, the number gets rounded down.

754 is the answer because it rounds down to 750 as it is, but if 1 was added to it, it'd be 755 which would round up to 760.

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The probability that X is between 90 and 110 = 0.2 if a normally distributed random variable x has a mean of 100 and P(x < 90) = 0.40.

The majority of the observations are centered around the middle peak of the normal distribution, which is a continuous probability distribution that is symmetrical around its mean.

The probabilities for values that are farther from the mean taper off equally in both directions. Extreme values in the distribution's two tails are likewise rare. Not all symmetrical distributions are normal, even though the normal distribution is symmetrical.

A normally distributed random variable x has a mean of 100

P(x < 90) = 0.4

The probability that X is between 90 and 110

Mean is 100

Hence P (< 100) = 0.5  as Mean is centered

Hence

P  (90 < X < 100) = 0.5 - 0.4 = 0.1

The difference between 100 and 90 is 10

The difference between 100 and 110 is 10

and 100 is Mean

Hence P  (100 < X < 110) = P  (90 < X < 100) = 0.1

Adding Both

P ( 90 < X < 110) = 0.1 + 0.1 = 0.2

The probability that X is between 90 and 110 = 0.2

Using z score table.

Z  = ( Value - Mean) /SD

Z score for 0.4 = -0.254

-0.253 = (90 - 100)/SD

SD ≈ 39.53

Z = ( 110 - 100)/39.53

Z = 0.253

For z score  < 0.253, the probability is 0.6

Hence Probability in Between is 0.6 - 0.4 = 0.2

The probability that X is between 90 and 110 = 0.2

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Answer:

None

Step-by-step explanation:

As per the defenition of Absolute Value, There are no negative values, therefore there are no possible answers, hence you would say "None".

Definition: Absolute Value is the distance a number is away from 0.

Therefore, Distance can never be 0.

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Antonio threw a ball with an upward velocity of 6 meters per second from a height of 8 meters. The formula below describes this situation. Which is closest to the time it will take the ball to hit the ground? h(x) = – 4.9t^2 + 60t + 8​

we know that

when the ball hit the ground, the function h(x) is equal to zero

so

– 4.9t^2 + 6t + 8=0

using the quadratic formula

we have

a=-4.9

b=6

c=8

substitute the values in the formula

therefore

the answer is

0.87 seconds

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.

We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.

The total distance that the student travelled can be obtained from;

5000 m + 5000 m + 5000 m

= 15000 m

The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds

= 5220 second

Speed = Distance/ Time

= 15000 m/5220 second

= 2.87 m/s

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Answer:

i dont know

Step-by-step explanation: use a bar graph or something

9514 1404 393

Answer:

  c.  20 days

Step-by-step explanation:

Divide the total available rice by the rate of its use:

  time = quantity/(rate of use)

  (15 lb)/(0.75 lb/day) = (15/0.75) days = 20 days

Answer:

11,100

Step-by-step explanation:

1% of 30,000 is 300 so if we times 300 by 37 we get 11,100

there is 11,100 sheep in 37%.

hope this helps :)

Answer:

1/10

Step-by-step explanation:

Hope this helps!

1) 3:00 to 4:00

2) 103

The required solution is 4:00 to 5:00 and  87  customers.

It is required to fill in the blanks.

The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

According to question , Initially, there were 75 customers.

From 1:00 to 2:00, a total of 30 more people entered, meaning there were

 75 + 30 - 12

= 93 people.

From 2:00 to 3:00, a total of 14 more people entered, meaning there were

93 + 14 - 8  

= 99 people.

From 3:00 to 4:00, a total of 18 people entered, meaning there were

 99 + 18 - 30

= 87 people.

4:00 to 5:00   :  If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.

Therefore, the required solution is 4:00 to 5:00 and  87  customers.

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The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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Answer:

1/3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

I used desmos.

Answer:

y-1= -1/3(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=m(x+3)

the slope is rise over run

the slope is -1/3

Answer:

y - 1 = 3/2 (x + 3)

Step-by-step explanation:

To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) is the given point and m is the slope of the line.

First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):

slope = (y₂ - y₁) / (x₂ - x₁)

= (2 - (-4)) / (2 - (-2))

= 6 / 4

= 3/2

Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.

Now we can substitute the values into the point-slope form using the point (-3, 1):

y - 1 = (3/2)(x - (-3))

y - 1 = (3/2)(x + 3)

The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:

y - 1 = 3/2 (x + 3)

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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Explanation:

The perimeter is 48 mm. We divide that by 4 to find the side length of the square, since each side is the same length.

48/4 = 12

Each side is 12 mm long.

This means the area of this square is 12^2 = 12*12 = 144 square mm

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: y=2.608x^2-115.264x+1568.064

Step-by-step explanation:

\(x=-2 \implies y=(1/3)^{-2}=3^{2}=9\\\\x=-1 \implies y=(1/3)^{-1}=3\\\\x=0 \implies y=(1/3)^0=1\\ \\ x=1 \implies y=1/3\\\\x=2 \implies y=(1/3)^2 =1/9\)

Using these points, the correct graph is shown in option C.

Answer:

63 answers

Hope this helps :p

The total number of questions to be answered correctly so that 75% of answers are correct is 63.

∵ To pass the assessment, the percentage of questions to be answered correctly = 75.

That means, for every 100 questions, the number of correct answers required = 75

∴ For 1 question, the number of correct answers required= 75/100

                                                                                         =3/4

But, the total number of questions in the assessment = 84

∴ For 84 questions, the number of correct answers required = 3/4×84

                                                                                                     = 63

Hence, the total number of questions to be answered correctly so that 75% of answers are correct is 63.

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The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s  and the solution is g=46, s=29, b=29

(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.

This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:

g + s + b = 104

(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:

g = 46

s = b

Thus, the relationship between the number of silver to bronze medals is s = b

(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:

g + s + b = 104

46 + b + b = 104

46 + 2b = 104

2b = 104 -46

2b = 58

b = 58/2

b = 29

Also, s = 29        (Remember: s = b)

Thus, g = 46, s =29, b = 29

Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively

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Answer:

Step-by-step explanation:

Statement                     Reason

PR ≅ TR                        Given

<PQR≅<TSR                 Given

<PRQ≅<TRS                Vertical Angles Theorem

PQR=TSR                      SAS  Theorem   (Side-Angle-Side)

Answer: 25.8 boxes (or 25 boxes if not allowing for partial boxes)

Step-by-step explanation: Let x = the number of boxes. Set up an inequality where the max number of pounds is 1,460.  We know the weight of the delivery person, as well as the weight of one box, so

50x + 170 <= 1,460

50x <= 1,290

x <= 50/1,290

x <= 25.8 boxes

Answer:

The Martins used their sprinkler for 35 hours, while the Kellys used their sprinkler for 25 hours.

Step-by-step explanation:

As the Martins and the Kellys used their sprinklers for 60 hours combined last summer, and the water output rate of the Martins' sprinkler is 30 liters per hour, while the Kelly's is 35 liters per hour To determine how many hours each family used their sprinklers, knowing that in total 1925 liters of water were used, the following logical reasoning must be carried out:

There is a 5 liter difference between the Kelly sprinkler and the Martin sprinkler. If both used 30 liters of water per hour, for 60 hours 1800 liters (30 x 60) would have been used. Therefore, there is an excess of 125 liters that corresponds to an excess of consumption, attributable to the Kelly sprinkler, which consumes 5 liters more of water per hour than the Martin's. Thus, since 125/5 equals 25, in total the Kellys used their sprinkler for 25 hours, while the Martins did it for 35 hours.

This reasoning is proved with the following calculation:

25 x 35 = 875

35 x 30 = 1,050

875 + 1,050 = 1,925

Answer:

a. 3.65

Check:

3.65 x 20 = 73

b. 9.7

Check:

9.7 x 30 = 291

Step-by-step explanation:

Answer: x = 4

Step-by-step explanation:

Translating the problem into mathematical terms:

Let's call the number x. Then the problem can be written as:

5 * (2x - 3) - (x + 8) = 13

Expanding the left side of the equation:

5 * 2x - 5 * 3 - x - 8 = 13

Simplifying the left side of the equation:

10x - 23 - x - 8 = 13

Combining like terms:

9x - 31 = 13

Adding 31 to both sides of the equation:

9x = 44

Dividing both sides of the equation by 9:

x = 4.88888...

Since x has to be a whole number, we round down to the nearest whole number:

x = 4

Therefore, the number that satisfies the equation is 4.