a class has eight boys and 12 girls. what is a ratio of boys to girls?​

Answer:

m=5

Step-by-step explanation:

8m+2=42

8m=40

m=5

if you find my answer helpful please mark as brainliest.

The answer is:

m = 5

Work/explanation:

Combine the like terms on the left side:

\(\sf{5m + 2 + 3m = 42}\)

\(\sf{8m+2=42}\)

Now we focus on the right side

\(\sf{8m=40}\)

Divide each side by 8:

\(\sf{m=5}\)

Consumption of Bananas per year = 5, 250, 000 metric tons

We know 1000 kg = 1 metric ton, so

Consumption of Bananas per year (in kg) = 5, 250, 000 x 1000 = 5, 250, 000, 000 kgs

Cost of Banana = $2.10 per kg

So,

Cost of all bananas = 5, 250, 000, 000 x 2.10 = $ 11,025,000,000 (per year)

Taking a year to be 365 days, let's find the cost for a day:

Since there are 317 million [317,000,000] people in the US, the cost per person every day is:

Rounding to the nearest cent,

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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More than 50% of Americans rely upon television broadcasts for their news.

News, current occasions and ancient programming can help make younger humans extra aware of other cultures and those. Documentaries can help increase vital thinking about society and the arena. television can help introduce teens to classic Hollywood movies and overseas movies that they might not otherwise see.

It broadens the know-how of various cultures, and promotes tolerance and international information of worldwide issues. Through contemporary affairs, discovery, lifestyle, cooking indicates and children's programs, television encourages medical and cultural interest.

Agree with and effect: television is the most relied on a form of marketing and stays maximumly probable to make consumers chortle, circulate them to tears or cause feelings. For example, television is with the aid of a long way the maximum relied on shape of video advertising in Canada. 70% of 18-34-year-olds named tv the most truthful compared to 12% for online video.

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Answer:

9.76 mm^2

Step-by-step explanation:

area of square minus area of circle = answer

area of square is 64

area of circle is pi * r squared

r is 8 ÷2 = 4

r squared is 4 * 4

area of circle is pi * 4 * 4 = pi * 16 = 50.24

64 - 50.24 = 9.76

Answer:

x = 25 degrees

Step-by-step explanation:

All the angles in a triangle must add up to 180 degrees.

That means: 2x + 15 + x + 10 + 3x + 5 = 180

Collect the like terms and put it on one side and put the whole numbers on the other.

2x + x + 3x = 180 - 15 - 10 - 5

6x = 150  

x = 25

Answer:

x=25

Step-by-step explanation:

add all the three equations and make it equal to 180 degrees because the sum of interior angles of a triangle is 180 degrees

2x+15+x+10+3x+5=180

6x+30=180

6x=180-30

6x=150

x=150÷6

x=25

Answer:1 and 6

Step-by-step explanation:1 x 6 = 6

1 + (6) = 7

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x2 + 7x + 6 = 0

If so, the solution to factor the quadratic equation above is:

(X + 1 ) (X + 6)

To summarize, since 1 and 6 multiply to 6 and add up 7, you know that the following is true:

x2 + 7x + 6 = (X + 1 ) (X + 6)

The ball flies at an angle of about 15.57 degrees, measured relative to the car's forward direction.

Two children are throwing a ball back-and-forth straight across the back seat of a car. The ball is being thrown 7mph relative to the car, and the car is traveling 25 mph down the road. If one child doesn't catch the ball and it flies out the window, in what direction does the ball fly (ignoring wind resistance)? The ball flies at an angle of about 15.57 degrees, measured relative to the car's forward direction.

Below is the solution for the given question:

From the given problem, the velocity of the ball relative to the car is 7mph. Also, the velocity of the car is 25 mph. So, the velocity of the ball relative to the ground can be found as follows:

\(v_G\)= \(\sqrt{(v_C^2+v_B^2)}\)

where \(v_G\) is the velocity of the ball relative to the ground, \(v_C\) is the velocity of the car, and \(v_B\) is the velocity of the ball relative to the car.

Substitute the given values of \(v_C\) and \(v_B\) in the above formula to get:

\(v_G= \sqrt{(25^2+7^2)}\\v_G= 26.08~mph\)

The angle the ball flies out is the angle between the velocity of the ball relative to the ground and the velocity of the car. Thus, the angle can be found as follows:

tanθ= \(v_B\)/\(v_C\)

where θ is the angle between the velocity of the ball relative to the ground and the velocity of the car.

Substitute the given values of \(v_C\) and \(v_B\) in the above formula to get:

tanθ= 7/25

θ= arctan (7/25)

θ= 15.57 degrees (approx)

Therefore, as measured relative to the car's forward direction, the ball flies at an angle of about 15.57 degrees.

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According to the ratio, it doesn't make sense to have a total of 9 people in the dance competition.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

The ratio of boys to every girls is 3:2 in a dance competition.

Let's find if it will make sense to have a total of 9 people in the competition.

Therefore,

number of boys = 3 / 5 × 9 = 27 / 5 = 5.4

number of girls = 2 / 5 × 9 = 18 / 5 = 3.6

Therefore, it doesn't make sense to have 9 people in the competition because the actual number of boys and girls will be in decimal which is impossible.

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The probability that all four light bulbs do not work is the product of the probabilities that each individual light bulb does not work, is (0.4)⁴ = 0.0256.

We are given that there are 4 light bulbs in a classroom, and the probability that each light bulb works is 0.6. Since the light bulbs work independently of each other, we can calculate the probability that each individual light bulb does not work as 1 - 0.6 = 0.4. The probability that all four light bulbs do not work is then found by taking the product of the probabilities that each individual light bulb does not work, which is (0.4)⁴ = 0.0256. This means that the probability that none of the 4 light bulbs work is 0.0256.

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Answer:

4

Step-by-step explanation:

2*2 answer is 4

So, this line's equation for these function is as follows: y = -2x + 21.5

A linear equation is a two-variable equation that, when plotted on a graph, results in a straight line1. A linear equation in mathematics can be expressed in the following way: where, are the variables (or unknowns), and, are the coefficients, which are frequently real numbers . Equations of degree 14 are linear equations. It is the straight line's equation. When values are substituted for the unknown values in linear equations, the equation is proved to be true

Y = mx + b, where m is the slope of the line and b is the y-intercept, is the slope-intercept version of a linear equation that can be used to determine which two points are on the same line.

To get the slope of the line, we can use any two points. Using (2,17.5) and (3,15.5). This line's slope is:

m = (y₂ - y₁) / (x₂ - x₁)

m = (15.5 - 17.5) / (3 - 2)

m = -2

We can use any point and the slope to find b now that we know the slope of the line. Utilizing (2,17.5)

y=mx+b

17.5=-2(2)+b

17.5=-4+b

17.5=-4+b

b = 21.5

So, this line's equation is as follows:

y = -2x + 21.5

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Quadrilaterals, rectangles, and squares are all quadrilaterals, which means they have four sides. However, there are some differences in their properties. Here are the 6 properties of rhombuses, rectangles, and squares:

Properties of Rhombuses:

Properties of Rectangles:

Properties of Squares:

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Answer:

Alright, here is the formula.

m = (y2 -- y1) / (x2 -- x1)

So, now we have to take the points and replace them with the variables.

m = (1 - 2) / (-2 - 4)

Great! So now, we have to solve.

1 - 2 = -1

-2 - 4 = -6

So now, it would be:

-1/6

That is the slope! Hope this helps! :)

Answer:

√29 =c

Step-by-step explanation:

a^2+b^2=c^2

5^2+2^2=c^2

25+4=c^2

29=c^2

√29=c

The volume of the cube is 27x³ + 8y³ +54x²y + 36xy².

The volume of a cube is the cube of its side.

\(\rm{ Volume\ of\ cube = (side)^3\)

\((a+b)^3= a^3 +b^3 +3a^2b+3ab^2\)

\(\begin{aligned}Volume &= s^3\\&= (3x+2y)^3\end{aligned}\)

Applying algebraic Identity,

            \(=(3x+2y)^3\\\\ =(3x)^3+(2y)^3+[3\times (3y)^2 \times2y]+[3 \times 3x \times(2y)^2]\\\\= 27x^3 + 8y^3 +54x^2y +36xy^2\)          

Hence, the volume of the cube is 27x³ + 8y³ +54x²y + 36xy².

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Answer:

The Answer is 175.86 cm^2

Step-by-step explanation:

4.3*5.2/2*2=22.36 cm^2

6.75*10=67.5 cm^2

10*4.3*2=86 cm^2

86+22.36+67.5=175.86 cm^2

Hoped this helped ^^

= 234.02

10 x 6.75 = 67.5 x 3 202.5

4.3 x 5.2 = 21.84  square root = 4.67

6.7/2 = 2 = 3.375

3.375 x 4.67 = 15.76

15.76 x 2 = 31.52

202.5 + 31.52 = 234.02

The limits along different paths are not the same, the limit of the function as (x, y) approaches (0, 0) does not exist.

To find the limit of the function, we can approach (0, 0) along different paths and see if the function approaches the same value.

Let's first approach (0, 0) along the x-axis by setting y = 0:

lim xy^4 /(x^2 +y^8 ) as (x, y) approaches (0, 0) along x-axis

= lim x*0^4 /(x^2 +0^8 )

= lim 0 /(x^2 )

= 0

Now let's approach (0, 0) along the y-axis by setting x = 0:

lim xy^4 /(x^2 +y^8 ) as (x, y) approaches (0, 0) along y-axis

= lim 0*y^4 /(0 +y^8 )

= lim 0 /(y^4 )

= DNE (does not exist)

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Answer:

-2/3<t

Step-by-step explanation:

You can treat the inequality like an equal sign.

The first step is to add 10 to both sides,

2>-3t

Then we need to divide both sides by -3 to isolate the t. The only difference between an equals sign and an inequality when solving is when dividing by a negative number. When you divide by a negative, you flip the sign around.

-2/3>t →-2/3<t

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Answer:

Rm14 500

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Answer:

Length of segment PQ = 5

Step-by-step explanation:

Coordinates of P (-2, 4) and coordinates of Q are (3,4)

y coordinates are the same so the segment PQ is a horizontal line

The length is simply the difference between the x coordinates = 3 -(-2) = 3 + 2 = 5

hope this will help you more

In order to consider an outlier, two things are taken into consideration, which are:First, The value is away from the mean of the data set.Secondly, The standard deviation of the data set.Using the standard deviation is considered one of the best ways to determine if a data point is an outlier or not.

Generally, any data point that falls more than three standard deviations from the mean of the data set is considered as an outlier.This is also known as the "68-95-99.7 rule".This rule states that approximately 68% of the data in a normal distribution fall within one standard deviation from the mean, 95% of the data falls within two standard deviations, and 99.7% of the data falls within three standard deviations.Therefore, if a data point falls beyond three standard deviations from the mean, it is considered as an outlier.Example:Let's say you have a data set of exam scores that have a mean of 75 and a standard deviation of 5. If you have a score of 60 in this data set, it would be considered an outlier since it falls more than three standard deviations away from the mean (60-75)/5 = -3.

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Answer:

10%

Step-by-step explanation:

I think it's right lol but I could be wrong I forgot a lot of this stuff

but out of all the data it goes from 22-42 so 20 points in total

there is only 2 of the data points behind 24, so it is 2/20 or 10%

The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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Answer:

Step-by-step explanation:

y - 10 = -2(x - 10)

y - 10 = -2x + 20

y = -2x + 20 + 10

y = -2x + 30

When x = 0  ;   y = 0 + 30 = 30         ;  (0,30)

When x = 10 ;   y = -2*10 + 30 = -20 +30 = 10   ; (10 , 10)

When x = 5  ;  y = -2*5 + 30 = -10 + 30 = 20    ; (5 , 20)

Plot ( 0 ,30) ; (10,10)  & (5,20)

Answer:

y varies inversely with x is written as

y = k /x

where k is the constant of variation

y = 8 x = 1.55

8 = k / 1.55

Multiply through by 1.55

k = 12.4

The formula is

y = 12.4 / x

when y = - 0.62

- 0.62 = 12.4/x

- 0.62x = 12.4

Divide both sides by - 0.62

x = 12.4/-0.62

x = - 20

When y = - 0.62 x = - 20

Hope this helps

Answer:

88

Step-by-step explanation:

88 Degrees

Answer:

92

Step-by-step explanation:

Corresding angles