There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of
apples to total fruits?
Be sure to write your answer in lowest terms

Answer:

60 miles

Step-by-step explanation:

Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.

3x20=60

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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Answer:

240

Step-by-step explanation:

Split the firgue into shapes you know

rectangle and Trapezoid

A = bh

A = 10×6

A = 60

A = 1/2h(b+b)

A = 1/2×12(10+20)

A = 6(30)

A = 180

180 + 60 = 240

240

Answer:

420 cm²

Step-by-step explanation:

Area of composite shapes

Solve

To find the composite area of two or more shapes, simply find the area of each shape and add them together.

So,

18 cm × 20 cm = 360

10 cm × 6 cm = 60

Now, add the results together

360 + 60 = 420

Therefore, the area of the composite figure is 420 cm²

Answer:

Step-by-step explanation:

Answer: C) a=18

Step-by-step explanation: Hope i helped :)

The tank having shape of a rectangular prism, the volume of tank will be

4,500 inches³.

What exactly is a prism?

A prism is a three-dimensional geometric object that has a pair of identical, parallel polygonal bases and flat, parallelogram-shaped sides connecting them. The most common type of prism is a rectangular prism, which has two rectangular bases and four rectangular sides.

Prisms are classified based on the shape of their bases. For example, if the bases of a prism are triangles, it is called a triangular prism, if the bases are pentagons, it is called a pentagonal prism, and so on.

Now,

To calculate the volume of water that the tank can hold, we need to use the formula for the volume of a rectangular prism:

Volume = Length x Width x Height

Plugging in the values given:

Volume = 25 inches x 12 inches x 15 inches

Volume = 4,500 cubic inches

Therefore,

              the tank can hold 4,500 inches³ of water.

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Answer:

2

Step-by-step explanation:

1 2/3     5/6

5/3 -> 10/6 -> 3 1/3

1 2/3 x 2 = 3 1/3

There are \(\frac{1}{2}\) groups of the first fraction in the second fraction.

Given the following data:

A fraction is a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.

In Mathematics, a fraction comprises two (2) main parts and these include:

Next, we would divide the second fraction by the first fraction as follows:

\(Groups = \frac{\frac{5}{6} }{\frac{5}{3} } \\\\Groups = \frac{5}{6} \times \frac{3}{5} \\\\Groups = \frac{3}{6} \\\\Groups = \frac{1}{2}\)

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The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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The value of m∠Q as shown in the right-angled triangle below is 62.59°.

The Formula used is:

m∠Q = cos⁻¹(s/r)........................ (1)

Where:

s = 29 m

r = 63 m

Now, Substitute these values into equation 1

m∠Q = cos⁻¹(29/63)

m∠Q = cos⁻¹(0.46)

m∠Q = 62.59°

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Answer:

=540

Step-by-step explanation:

10(3(25−6(22−19)+11))

=10(3(25−(6)(3)+11))

=10(3(25−18+11))

=10(3(7+11))

=10(3)(18)

=(10)(54)

=540

- it's a simplification process

Answer:

negative correlation on Edg

Step-by-step explanation:

Step-by-step explanation:

the average is the sum of all data points divided by the number of data points (5).

2 hours 17 minutes

2 hours 48 minutes

1 hour 53 minutes

2 hours 19 minutes

1 hour 38 minutes

------------------------------

8 hours 175 minutes

175 minutes = 2 hours 55 minutes

so, we need to add this to the 8 hours and get

10 hours 55 minutes

this we need to divide by 5 for the average time

(10 hours 55 minutes) / 5 = 2 hours 11 minutes =

= 2×60 + 11 = 120 + 11 = 131 minutes.

so, their score is 131.

Answer:

Yes

Step-by-step explanation:

First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.

It has mean μ= np =  30×0.56=16.8

standard deviation s = √npq

sqrt(30×0.56×(1-0.56)) = 2.71

So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.

Answer:

The number of tickets sold are

Children = 256

Adults = 486

senior citizen = 204

Step-by-step explanation:

let

x = children ticket  = $10 per piece

y = adult ticket = $14 per piece

z = senior citizen = $6 per piece

x + y + z = 946 ( total tickets sold ) ---------- ( 1 )

Total receipt for performance

10x + 14y + 6z = $10588   --------------- ( 2 )

since the combined number of children and Adult tickets exceeded twice the number of senior citizen tickets by 334

x + y - 2z = 334 --------- ( 3 )

substract equation 3 from equation 1

3z = ( 946 - 334 ) = 612 therefore Z = 204

next we multiply equation (1) by 14

14x + 14y + 14z = 13244 ---------- ( 4 )

substract equation (2) from ( 4 )

4x + 8z = 2656

= 4x + 8(204) = 2656

= 4x = 2656 - 1632

therefore : x = 256

back to equation 1

256 + y + 204 = 946

y = 946 - ( 256 + 204 ) = 486

Hence the number of tickets sold are

Children = 256

Adults = 486

senior citizen = 204

Step-by-step explanation:

Volume of a cylinder is the area of the end ( pi r^2) times the height , h.

pi r^2 h  = pi (10^2) 9  cm^3 = ~ 2827 cm^3

Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.

A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.

Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.

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Complete question

How can polygons be considered a subcategory of two-dimensional figures?

Answer:

D)

Step-by-step explanation:

f(-3) = 2

f(0) = -5

[f(-3) - f(0)] ÷ -3-0

[2-(-5)] / -3

7/-3

Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

Answer:

cos L = 55/73

Step-by-step explanation:

The triangle KLM is a right angle triangle. The ∠M = 90°. The side KM = 48, LK = 73, and ML = 55. The ratio that represents the cosine of ∠L can be solved below.

The right angle triangle formed has an hypotenuse , opposite and an adjacent side. Using the SOHCAHTOA principle one can find the ratio that represent the cosine of ∠L.

opposite side = 48

adjacent = 55

hypotenuse = 73

cos L = adjacent/hypotenuse

cos L = 55/73

Given,

The measure of the length of the side of square is s.

The height of the pyramid is 1/2 of the length of the side.

Required

The volume of the square pyramid.

The formula for the volume of the square pyramid is,

Substituting the values then,

Hence, the volume of the pyramid is s^3/6.

Answer:

200 + 2

Step-by-step explanation:

you know that two (2) negatives multiplying each other is = +

=200 +2

=202

Answer:

C. 1,620 in^3

Step-by-step explanation:

Thank you!

Answer:x ≤ 3

Step-by-step explanation:

(14.5x − 5(x + 2) ≤ 4 + 4(4 − 1/8x)
14.5x - 5x-10 ≤ 4 + 16 - 1/2x Get rid of the parenthesis

9.5x-10 ≤ 20-1/2x Combine like terms

10x - 10 ≤ 20

10x/10 ≤ 30/10

x ≤ 3

Answer: $803.4

Step-by-step explanation: he earned 3% on interest so that means the equation is 780 + 3% (correct me if i'm wrong) so 780 + 3% is $803.4 which is 803 dollars and 4 cents

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

14.6

Step-by-step explanation:

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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