Complete the sentence.
3mi ≈ ____ km

Lollipops costs $0.15

Petits costs $0.1

let x represent the cost of lollipops

let y represent the cost of petits

6x + 5y = 1.40.........equation 1

5x + 6x= 1.35.........equation 2

From equation 1

6x + 5y= 1.40

6x= 1.40 -5y

x= 1.40-5y/6

Substitute 1.40-5y/6 for x in equation 2

5(1.40-5y/6) + 6y = 1.35

7-25y/6 + 6y= 1.35

7-25y+36y/6= 1.35

cross multiply

7 +11y= 8.1

11y= 8.1-7

11y= 1.1

y= 1.1/11

y= 0.1

Substitute 0.1 for y in equation 1

6x +5y= 1.40

6x + 5(0.1)= 1.40

6x + 0.5= 1.40

6x= 0.9

x= 0.9/6

x= 0.15

Hence the cost of lollipops is $0.15 and cost of petits is $0.1

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Answer:

4

Step-by-step explanation:

Answer:

can you put a better pic

Step-by-step explanation:

The probability of both owning a dog is 0. 52

Probability can be defined as the chance that a given event occurs.

From the information given, we have that;

The probability of owning a dog is 26%

Let's convert to decimal

Probability of owning a dog = 26 / 100 = 0.26

P(2 people) = 2 × P(owning a dog)

P(2 people) = 2 × 0. 26

Multiply through

P(2 people) = 0. 52

The probability of both owing a dog is 0.52

Thus, the probability of both owning a dog is 0. 52

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Answer: 190,870,314

Step-by-step explanation:

It would be 190,870,314

The Mean number of points she scored per game is 8.

Mean is defined as the average value of the given set of data .

mean is calculated by dividing the (sum of all observations) with (total number of observations).

For Example , Smith scored 8,6,10 out of 10 in his three tests.

so the mean score of smith will be [tex]\frac{8+6+10}{3} =\frac{24}{3} =8[/tex].

In the given question

Points for each game = 8, 14, 4, 7, 6, 14, 4, and 7.

Sum of all the points = 64.

Total number of basketball games =8

[tex]Mean= \frac{Sum of all the points }{total number of games} \\ \\ Mean=\frac{64}{8} =8.[/tex]

Therefore , the mean number of points Swati scored per game is 8.

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Answer:

it is 8 the mean is 8

Step-by-step explanation:

The total number of boxes required for packing the carrots is 40 boxes.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unitary technique, in essence, determines the value of a unit from the value of a multiple. To put it simply, it determines the value of a single unit from a given multiple. How can you figure out the price of one pen if 100 cost Rs. 400? You can reach the solution using the unitary technique. Additionally, after a single unit's value has been established, the values of the other units can be derived by multiplying the original unit's value.

Janine is carrying carrots because of this. There are 20 2-pound bags of carrots in each huge box.

We must determine how many boxes Janine can fill.

Now, 800/20=40 boxes are equal to the total number of bags/bags each box can contain.

This means that a total of 40 boxes are needed to load the carrots.

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The 150 m³ cone that has a base radius of 5 meters indicates that the height of approximate length 5.73 meters is greater than the radius (length 5 meters)

The given parameters are;

Volume of the cone is V = 150 m³

Base radius of the cone, r = 5 m

The formula for finding the volume of a cone is; [tex]V = \mathbf{\frac{1}{ 3} \cdot \pi \cdot {r}^{2} \cdot h} [/tex]

By plugging in the values for the volume, V and radius, r, of the cone, we have;

[tex]150 = \frac{1}{ 3} \times \: \pi \times {5}^{2} \times h[/tex]

Which gives;

[tex] h = \mathbf{ \frac{150}{ \frac{1}{ 3} \times \: \pi \times {5}^{2} } \approx 5.73} [/tex]

Therefore;

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The prime factors of 85 is 5 and 17

Prime factorisation:

Finding the prime factors of a given number, such as a composite number, is done through the process of prime factorization. The prime numbers are the only components in these factors. A number with just the number itself and factor 1 is said to be a prime number.

Factor:

the quantities that are multiplied to produce new quantities are called Factor.

Prime factors:

A prime factor is a factor that is a prime number and not a composite number.

85=5×17

Therefore,The prime factors of 85 is 5 and 17

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The mean of the sample (D) none of these alternatives is correct.

Therefore, the mean of the sample (D) none of these alternatives is correct.

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The correct question is given below:

The mean of the sample

a. is always smaller than the mean of the population from which the sample was taken

b. can never be zero

c. can never be negative

d. None of these alternatives is correct.

The percent of decrease from 136 days to 85 days to the nearest tenth is 37.5%

Change in number of days = Original days - New days

= 136 days - 85 days

= 51 days

Percentage decease = Change in number of days / Original days × 100

= 51 / 136 × 100

= 0.375 × 100

= 37.5%

Therefore, the percent of decrease from 136 days to 85 days to the nearest tenth is 37.5%

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A specific car accelerates consistently from zero to 22.4 m/s in 2.10 seconds during a test session. The car's uniform acceleration is 8.1356 meter/[tex]sec^{2}[/tex].

The rate at which an object's velocity with respect to time changes is known as acceleration in mechanics. Accelerations are vector quantities (in that they have magnitude and direction). The direction of the net force acting on an object determines its acceleration.

For instance, a car accelerates in the direction of motion when it begins at rest (zero velocity in an inertial frame of reference) and moves at increasing speeds in a straight path. When a vehicle turns, its motion vector is altered and accelerates in the new direction. A linear acceleration is the acceleration of the car in the direction it is moving, and it is this acceleration that the occupants of the car feel.

Calculations:

Acceleration=([tex]\frac{change in speed}{change in time}[/tex])= (24 m/s) / (2.95 s) = 8.1356 meter/[tex]sec^{2}[/tex]

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Answer: 2/23

Step-by-step explanation:

9+14=23

Answer:

There are 60 people in the chior so we will be dividing that number up to see how many women men and children there are. Half of them are women, which mean divide 60 by 2 which equals 30. There are 30 women in the choir. The number of women is 3 times compared to men. Since its 3 times we use the commutative property of division. 30 divided by 3 is 10. There are 10 men in the choir. The rest are children. To find the rest of them we will take how many people in the choir we know so far and then subtract from the total: 60. there are 30 women and 10 men which adds up to 40. 60 minus 40 equals 20. There are 20 children in the choir.

Since n = number of men and children:

n = 30

30 : 1

Step-by-step explanation:

Hope it helps! =D

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

2 x 7 = 14 apples

"Correlational" research looks at how variables vary with each other, while "experimental" research looks at how one variable causes a change in another variable.

Research is a form of non-experimental methodology in which a researcher measures 2 factors and analyzes and evaluates the statistical relationship among them without the influence of any other variable.

Some key features regarding the correlational research are-

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Answer:a,8

when you do this in the graph its quite clear that in won't turn into a square so I think you should imagine it as a triangle.

Answer: seventy-eight million

Step-by-step explanation:

seventy eight million four thousand / setenta y ocho million cuatro mil

In two rectangles, the value of j and h are 2 and 4

The subject of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc.

According to the question, we get the equations

The perimeter of rectangle = 2*[base + height]

Rectangle P

Perimeter = 20inches

Perimeter = 2*[j+4+h]

20= 2j+2h+8

2j+2h=12

J + h=6

J=6-h ………..  Equation 1

Rectangle Q

Perimeter = 30 inches

Perimeter = 2*[j+1+3h]

30=2j+6h+2

2j+6h=28

J+3h=14 ……….. Equation 2

Substitute equation (1) in equation (2)

(6-h) +3h=14

2h=8 = H=4

J=6-h

J=6-4 = J=2

Hence, the value of j and h is 2 and 4.

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The probability of natural states after applying the Bayes theorem to modify the prior probabilities in light of available indicator data is known as the posterior probability.

The posterior probability is a type of conditional probability that is created by applying the Bayes theorem to update the prior probability with information that is summarized by the likelihood. From an epistemological standpoint, the posterior probability, given prior knowledge and a mathematical model describing the observations available at a specific time, contains all that is known about an uncertain proposition (such as a scientific hypothesis, or parameter values).  The present posterior probability may act as the prior in a subsequent round of Bayesian updating following the arrival of new data. The posterior probability distribution often expresses the epistemic uncertainty regarding statistical parameters conditional on a set of observed data in the context of Bayesian statistics.

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Answer:

Yes, some

Step-by-step explanation:

Answer:

Pattern 8 would have 64 squares.

Step-by-step explanation:

Ok, I understand, Pattern 4 would have 16 squares, so we have to continue adding the pattern.

5 = 25, 6 = 36, 7 = 49, and 8 = 64. The key to this is each pattern number is multiplied BY ITSELF.

Hope this helps!

Sorry for being a little rude previous question, I didn't have a reference.

Answer: 2fg

Step-by-step explanation:

Rewrite using the commutative property of multiplication = 2fg

Answer:

y = 3x - 6

Step-by-step explanation:

to find the answer we must first find the slope

the slope must be 3x because the two lines must be parallel

so

y = 3x + b

we must plug in x and y to find b

so

9 = 3(5) + b

9 = 15 + b

b = -6

that is your b

so

y = 3x - 6

that is your equation

Answer: I'd say C (y = 3x - 6)

Step-by-step explanation:

1. I mean, it is quite obvious as a parallel line needs to go the same way

2. But a parallel line doesn't mean the line is the same one, since the coordinate says that the other line passes through (5,9).

3. Also because looking at a graphing calc, you can see it for yourself, the equation on C is the correct answer

The productivity of the painter is 0.66 up to two decimal places. It is attained by applying the knowledge of the division of two numbers and decimals to the provided problem.

What is decimal?

A decimal is a quantity that is distributed into two components, namely a whole and a fraction. A decimal number represents the numerical value lying in between the two integers. A decimal point (.) is used to segregate the fractional part from the whole part of a number.

E.g. 1.5, 0.06, 7.05, etc.

Calculation of the productivity of the painter

Productivity of the painter is obtained by dividing the number of houses painted by the number of days taken to paint them

The number of houses painted is 4

The number of days taken to paint 4 houses is 6 days

Productivity = 4 ÷ 6

                  = 0.666

Thus, the productivity of the painter is 0.66 up to two decimal places.

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Answer:

1 significant figure

Step-by-step explanation:

Zero is significant when:

It occurs between two non-zero integers, such as 408; it occurs at the end of a number that contains a decimal point, such as 570. or 1.300

Zero is not significant when:

It is before the first non-zero integer, such as 0.0057 (two significant figures); it is at the end of a number that does not contains a decimal point, such as 253,000 (three significant figures)

(trust me I'm taking chemistry this year and literally that is the 'rule' that is written down in my notebook)

The central angle of mobile phones section in February be 91°

Given,

The total number of electronic devices sold by a shop in January = 900

According to pie chart

900 implies 360°. Therefore, 900/360 = 2.5

Now lets check the number of devices sold in January:

Desktop = 60° ⇒ 60 × 2.5 = 150

Laptop = 146° ⇒ 146 × 2.5 = 365

Tablet = 84° ⇒ 84 × 2.5 = 210

Mobile = 70° ⇒ 70 × 2.5 = 175

Its given that in February, all other numbers are same except Mobile phones.

40% more mobile phones are sold in February than in January.

So, number of mobile phones sold in February = 175 × (140/100) = 245

Now lets calculate the total number of devices sold in February:

900 - 175 = 725

725 + 245 = 970

970 devices sold in February.

According to pie chart:

970 implies 360 = 970/360 = 2.69

Now lets check the degree in pie chart for each devices,

Desktop = 150 ⇒ 150/2.69 = 55.7°

Laptop = 365 ⇒ 365/2.69 = 135.5°

Tablet = 210 ⇒ 210/2.69 = 78°

Mobile = 245 ⇒ 245/2.69 = 91°

That is, the central angle of mobile phones section in February be 91°

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The increase in sales after 170% increase with the initial sales 3 million is

5,100,000 (5 million and 1 lakh or 51 lakh).

Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’. The abbreviations used to represent the percentage are ‘pct’ or ‘pc’. In other words, the percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.

We have to increase the value by 170%.

The value of the percentage increase = 170% × 3,000,000

The new value = 3,000,000 + The value of the percentage increase

The new value = 3,000,000 + The value of the percentage increase

=3,000,000 + (170% × 3,000,000) = 3,000,000 + 170% × 3,000,000

=(1 + 170%) × 3,000,000 = (100% + 170%) × 3,000,000

=270% × 3,000,000 = 270 ÷ 100 × 3,000,000

=270 × 3,000,000 ÷ 100 = 810,000,000 ÷ 100

=8,100,000 million.

The actual change = The new value - 3,000,000

=8,100,000 - 3,000,000

=5,100,000 million or 5.1 million.

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The explicit rule for the sequence using subscript notation is [tex]a_n=2000\times1.2^{n-1}[/tex] .

It is given that sequence is G.P

In G.P 2nd and 4th is given by

 [tex]a_2=ar[/tex]      ...(1)      and              [tex]a_4=ar^3[/tex]  ...(2)

We have given [tex]a_2=2400 , a_4=3456[/tex]

Putting in equation (1) and (2) , we get

       [tex]2400=ar[/tex]    ...(3)          and           [tex]3456=ar^3[/tex]      ...(4)

On dividing equation (3) by equation (4) , we get

        [tex]\frac{2400}{3456} =\frac{ar}{ar^3} \\\\\\ 0.6944=\frac{1}{r^2}\\\\r^2=1.44 \\r=1.2[/tex]

First term will be given by

       [tex]a_1=a_2 r^{1-2}\\\\a_1=2400r^{-1}\\\\a_1=\frac{2400}{1.2} \\\\a_1=2000[/tex]

Nth term is given by

[tex]a_n=a_1r^{n-1}\\a_n=2000\times1.2^{n-1}[/tex]

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