Activity 3.
Direction. Name the ratio as a fraction in simplest form.
1. P5.00 to P60.00
2. 1 hour to 40 minutes
3. 2 weeks to 4 days
4. Eight out of 30 passengers are tourist. Give the ratio of tourist to passengers.
5. For every 45 passengers, 9 are foreigners. Write the ratio of foreigners to
passengers.
Please answer please help me

The number of students not involved in sport and band is from the Venn diagram is 225.

Students belonging to band and sport team = 15

Number of band members only = 75-15 = 60

Number of sport team members only = 115-15 = 100

Total number of students = 400

Total number of students = (sport only + band only + both sport and band + None of sport and band)

None of sport and band = 400 - (100+60+15)

None of sport and band = 400 - 175

None of sport and band = 225

Hence, the number of students not involved in sport and band is 225.

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Answer:

6.2 percent

Step-by-step explanation:

47.81 - 45 = 2.81

2.81/45

The tax applied on the bill is given as 6.2%.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The amount of bill is given as $45.

And, the final amount after tax is $47.81.

The tax rate can be obtained as follows,

Difference of bill amount before and after tax ÷ Original amount × 100.

⇒ (47.81 - 45) ÷ 45 × 100

⇒ 6.24%

Which is approximately 6.2%.

Hence, the tax rate can be obtained as 6.2%.

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The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

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The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

Answer:

\( {( \bold {\purple{ \boxed{ x + 7}}})}^{2} = \: \bold {\purple{ \boxed{ 9}}}\)

Step-by-step explanation:

\( - 2 {x}^{2} - 28x = 80 \\ \\ - 2( {x}^{2} + 14x) = 80 \\ \\ {x}^{2} + 14x = - 40 \\ \\ {x}^{2} + 2.x. \bold{ \red{7 }}+ 49 = - 40 + 49 \\ (add \: square \: of \: 7 \: both \: sides)\\ \\ {x}^{2} + 14x + {7}^{2} = 9 \\ \\ {( \bold {\purple{ \boxed{ x + 7}}})}^{2} = \: \bold {\purple{ \boxed{ 9}}}\)

Answer:Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Answer:

-7

Step-by-step explanation:

f(x) = 5 - 4x

f(3) = 5 - 4(3)                         (since x = 3)

f(3) = 5 - 12

f(3) = -7

Answer:

I think 40 units

Step-by-step explanation:

hope you have a wonderful day

Answer:

A

Step-by-step explanation:

We need to find the correct options which represents the given equation . We can try it out by eliminating the given options , as

So , option A , and D are preferred choices .

Option A is the correct option . ✔️

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

The greatest common factor will be (x² – xy + y²).

This is a value or expression that can divide the given expressions without leaving a remainder.

Given the following expressions

x^3+^3 and x^2 - xy + y^2

Expand x^3+y^3

x^3+y^3 =(x + y)(x² – xy + y²).

Since (x² – xy + y²) is common to both expression, hence the greatest common factor will be (x² – xy + y²).

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The angle between the 3D vectors a = (3, -1, 2) and b = (1, -1, -2) is 2.23 radians. The angle between a = (0, -1, -3) and b = (2, 3, -1) is 2.43 radians.

The angle between two vectors a and b in three-dimensional space can be found using the dot product formula:

cos(θ) = (a * b) / (||a|| * ||b||)

Where ||a|| and ||b|| represent the magnitude (length) of vectors a and b, respectively, and "*" represents the dot product of the two vectors. The dot product is given by:

a * b = a1 * b1 + a2 * b2 + a3 * b3

Where a1, a2, and a3 are the components of vector a, and b1, b2, and b3 are the components of vector b. The angle θ is then calculated using the inverse cosine function:

θ = arccos(cos(θ))

Finally, the angle θ is expressed in radians.

For the first problem, we have:

a = (3, -1, 2)

b = (1, -1, -2)

So, we have:

a * b = 3 * 1 + (-1) * (-1) + 2 * (-2) = 3 - 1 - 4 = -2

||a|| = \(\sqrt{(3^2 + (-1)^2 + 2^2)} = \sqrt{(14)}\)

||b|| = \(\sqrt{(1^2 + (-1)^2 + (-2)^2) }= \sqrt{(6)}\)

cos(θ) = \((-2) / (\sqrt{(14)} * \sqrt{(6)} ) = -\sqrt{(2)} / \sqrt{(21)\)

θ = arccos\((-\sqrt{(2)} / \sqrt{(21)})\) = 2.23 radians (rounded to two decimal places)

For the second problem, we have:

a = (0, -1, -3)

b = (2, 3, -1)

So, we have:

a * b = 0 * 2 + (-1) * 3 + (-3) * (-1) = -3

||a|| = \(\sqrt{(0^2 + (-1)^2 + (-3)^2)} = \sqrt{(10)}\)

||b|| = \(\sqrt{(2^2 + 3^2 + (-1)^2)} = \sqrt{(14)}\)

cos(θ) = \(-3 / (\sqrt{(10)} * \sqrt{(14)}) = -3 / \sqrt{(140)}\)

θ = arccos\((-3 / \sqrt{(140)})\) = 2.43 radians (rounded to two decimal places)

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Answer:

36

Step-by-step explanation:

Angles in a triangle sum to 180 degrees.

The angle in the bottom left will equal 180 - (3x + 6) as angles along a staight line also sum to 180 degrees.

180 - ( 3x + 6)

180 - 3x - 6   [expand bracket]

174 - 3x

Now we can add up all the angles and equate them to 180 to solve for x.

24 + 2x + 18 + 174 - 3x = 180

216 - x = 180

216 = 180 + x

x = 36

I'll help.

The answer to your question is True!!

Answer: 2472

Step-by-step explanation: It is just 2744 minus 272

Answer:

2472 okay that is your answer, you just subtract 272 from 2744. you can use a calculator to solve of paper

Answer: what is the question?

Step-by-step explanation:

?

Answer:

c. We are 96 percent confident that the average increase in mating call frequency in the population of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

The 96 percent confidence interval for estimating the population slope of the linear regression line predicting mating call frequency based on habitat temperature is given by 2.341±0.768.

This means that the 96% CI is between:

2.341 - 0.768 = 1.573

2.341 + 0.768 = 3.109

Which of the following is the correct interpretation of the calculated confidence interval?

We are 96% sure that the population mean(population of frogs) in mating call frequency is in this interval. So the correct answer is given by option c.

Answer: 7%

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

21: 300*100 =

(21*100): 300 =

2100: 300 = 7

21/300 = x/ 100

2100/300x = \^o^/ 7

       ^

 (division)

Answer:

\(AB= 20.9\)

\(A = 33.2^\circ\)

\(C = 54.8^\circ\)

Step-by-step explanation:

Given

The above triangle

Required

Complete the lengths

To do this, we make use of sine rule.

\(\frac{a}{\sin A} = \frac{b}{\sin B}\)

\(\frac{14}{\sin A} = \frac{24}{\sin 70}\)

\(\frac{14}{\sin A} = 25.54\)

Cross multiply

\(\sin A * 25.54 = 14\)

\(\sin A = \frac{14}{25.54}\)

\(\sin A = 0.5482\)

Take Arc sine of both sides

\(A = sin^{-1}(0.5482)\)

\(A = 33.2^\circ\)

To calculate C, we have:

\(C = 180 -A-B\) --- angles in a triangle

\(C = 180 -55.2-70\)

\(C = 54.8^\circ\)

Calculate length AB using the sine rule.

\(\frac{AB}{sin C} = \frac{AC}{B}\)

So, we have:

\(\frac{AB}{sin 54.8} = \frac{24}{sin 70}\)

Make AB the subject

\(AB= sin 54.8*\frac{24}{sin 70}\)

\(AB= sin 54.8* 25.54\)

\(AB= 20.9\) -- approximated

Margie used a total of 264 inches of lace for the 24 pillows

Margie used 36 inches of lace for one pillow

She needs to make 24 pillows

The total inches of lace that was used for the 24 pillows can be calculated as follows

= 36 × 24

= 864

Hence Margie used 864 inches of lace for 24 pillows

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Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

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The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Answer:

how many boxes is the line on

Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

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Answer:

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.

Step-by-step explanation:

The points given are (-4.5,0) and (3,0), which means the points are on the x-axis. Point R (-4.5,0) will be located to the left of 0, the negative side of the number line between the 4th and 5th marks. Point T (3,0) will be located to the right of 0, the positive side of the number line at the 3rd mark.

The second answer is incorrect because point (-4.5,0) is not on the right side of 0 but on the left side.

The third answer is incorrect because point T(3,0) is place between 2 and first mark instead of the third mark.

The fourth answer is incorrect because R (-4.5,0) is placed on the first mark instead of between 4th and 5th mark.

Answer:

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.

For the total costs to be the same a pair of skis must be rented for 3 hours.

Two shops rent pairs of skis for a rental fee plus a fee per hour.

Let, the number of hours must a pair of skis be rented = x

Equation for Shop A,

3 + 9x                                                         equation 1

Equation for Shop B,

9 + 6x                                                         equation 2

Total cost for Shop A and Shop B is same so we can equate equation 1 and equation 2 as mentioned below:

3 + 9x = 9 + 6x

3x = 6

x = 3

Thus we can write,  for the total costs to be the same a pair of skis be rented for 3 hours.

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Answer:

y=1/7x+11/7

Step-by-step explanation:

I used mathaway

Answer:

im sorry I don't know I didn't do stuff like this in school

The number of toothpicks that the jumbo box hold is 6760.

From the information, there are 250 toothpicks in a regular-size box and jumbo-size box is made by tripling the length, width, and height of the regular box.

Therefore, the number of toothpicks will be illustrated by multiplying the value by the change. This will be:

= 250 × 3 × 3 × 3

= 6750

This was because the dimensions were tripled

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Answer:

length= 17.5

width=11.5

( I worked this out myself but I don't know if its right tho)