Question 5 (1 point)
Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the
school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?
A. 20/22 = x/480
B. 21/72 = x/480
C. 72/21 = x/480
D. 42/72 = x/480

Answer:

C

Step-by-step explanation:

8x^2 -  8x + 2

=2(4x^2 - 4x  + 1)

=2(2x - 1)^2

Step-by-step explanation:

The answer is 342

Because when we divide 19 by 13 = 1.46

Then when we divide 500 by 1.46 = 342

Answer: the answer is -1, -2

Step-by-step explanation:

Answer:

Multiply the numerators and the denominators.

Step-by-step explanation:

Problem: [tex]\dfrac{1}{x^2}- \dfrac{2}{y}\div y-2x^2[/tex]

Step 1: [tex]\dfrac{y}{x^2y}- \dfrac{2x^2}{x^2y}\div y-2x^2[/tex]

Step 2: [tex]\dfrac{y-2x^2}{x^2y} \div \dfrac{y-2x^2}{1}[/tex]

Step 3: [tex]\dfrac{y-2x^2}{x^2y} X \dfrac{1}{y-2x^2}[/tex]

The next step would be to multiply the numerators and the denominators.

Step 4: [tex]\dfrac{y-2x^2}{(x^2y)(y-2x^2)}[/tex]

Since [tex]y-2x^2[/tex] is common in the numerator and denominator, it divides itself, thus our result is:

[tex]\dfrac{1}{x^2y}[/tex]

Answer:

6y +8

Step-by-step explanation:

8y - 1-/2 ( 4y - 16)

Distribute

8y - 1/2*4y - 1/2 *-16

8y -2y +8

Combine like terms

6y +8

Answer: $324

Explanation: I changed the 8% to 0.08 and multiplied that by 300 and got 24. Then I added 300+ 24 to get $324.

Answer:

324

Step-by-step explanation:

final cost = (100+8)% of 300 = 324

Answer:

A) 53

B) 53%

C) 37%

D) 63%

E) Yes.

Step-by-step explanation:

A) 53 people did not get headaches at all.

B) To solve for the percentage of participants that reported they did not get a migraine headache, you will need to divide out of the TOTAL number of people:

53/100= .53 --> Convert to percentage--> .53×100 = 53%.

C) To find this value, you will need to divide out of the amount of people that took MEDICINE and got a headache:

22/60≈0.367--> Convert to percentage --> 0.367×100≈37%

D) This percentage will be found out of who did NOT take the medicine:

25/40= 0.625 --> Convert to percentage --> 0.625×100≈63%

E) The medicine did help prevent migraine headaches because the percentage that got migraines with the medicine is lower than the percentage that got migraines WITHOUT the medicine.

Answer:

[tex]13.65^0.[/tex]

Step-by-step explanation:

Given,

Height of tee, H = 43 yard

Direct distance of the hole is, D = 177 yards

Now, Angle of depression of tee

[tex]\tan \theta = \dfrac{H}{D}[/tex]

[tex]\tan \theta = \dfrac{43}{177}[/tex]

[tex]\tan \theta =0.2429[/tex]

[tex]\theta = 13.65^\circ[/tex]

Hence, angle of depression from tee to the green is [tex]13.65^0.[/tex]

Answer:

1440 minutes

Step-by-step explanation:

24 hours a day x 60 minutes an hour = 1440 minutes on a day

Answer:

That is a rhombus.

Brainliest is greatly appreciated

Answered by: Skylar

5/20/2020

1:37 PM (Eastern Time)

Answer:

This is a rhombus because it has 4 verticles, 4 edges and 2 lines of symmetry.

I know I'm late but hope this helps!!

Answer:

If the scale factor is represented by , then the area of the scale drawing is [tex]k^{2}[/tex]   times the corresponding area of the  original drawing.

Step-by-step explanation:

If the scale factor is represented by , then the area of the scale drawing is [tex]k^{2}[/tex]   times the corresponding area of the  original drawing.

For example:

Given a scale factor of 25%, would the quotient of the area of the scale drawing to the area of the original  drawing be?

Answer:

The quotient of the areas would be equal to the square of the scale factor. Therefore, the quotient  of the scale drawing to the original in this example would be equal to [tex](\frac{1}{4}) ^{2}[/tex]

Hope it will find you well.

Answer:250 N

Step-by-step explanation:

Given

mass of skater on left side [tex]m_l=70\ kg[/tex]

mass of skater on right side [tex]m_r=90\ kg[/tex]

If the skater on the left experience a force of [tex]250\ N[/tex]

If they push against each other then they must experience  an equal force according to newtons third law

Thus [tex]F_l=F_r[/tex]

Thus skater on right experience [tex]250\ N[/tex] force

Using Newton's third law, if the first skater pushes off with a force of 250 N, the second skater will experience an equal but opposite force of 250 N. This occurs irrespective of the skaters' masses.

The subject of this question is physics, specifically Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In this case, the action is the first skater pushing off the second skater, and the reaction is the force experienced by the second skater.

The amount of force experienced by the first skater is 250 N. Because of Newton's third law, this means the second skater is also experiencing a force of 250 N. The direction of the force, however, is in the opposite direction to the force experienced by the first skater.

The force experienced by an object is independent of its mass. Therefore, despite the second skater having a mass of 90.0 kg versus the first skater's 70.0 kg, the force experienced remains the same.

In conclusion, the second skater experiences a force of 250 N.

https://brainly.com/question/32123193

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Answer:

  6 bags

Step-by-step explanation:

1 yard is 3 feet, so the area of the cage is ...

  A = LW

  A = (9 ft)(3 ft) = 27 ft^2

At 5 square feet per bag, the number needed is ...

  (27 ft^2)/(5 ft^2/bag) = 5.4 bags

We assume that Amelia can only buy whole bags, so ...

Amelia will have to buy 6 bags to cover the floor of the cage.

Answer: 0%

Step-by-step explanation:

if you toss a coin 4 times you cant get 5 results.

Answer:

An arc is a segment of a circle. An arc measure is the measure of an angle that the arc creates in the center of a circle, while an arc length is the span of the arc. This measure can be given in degrees or radians. We can easily convert between the two using the fact that pi radians = 180 degrees.

Step-by-step explanation:

Answer:

.000025

Step-by-step explanation:

25*10^-6

The negative means we move the decimal point to the left

The 6 means move it 6 places

25.

6 places to the left

Add the number of zeros as required

000025

.000025

Answer:

0.000025

Step-by-step explanation:

25 × 10^-6

25/10⁶

25/1000000

0.000025

Answer:

6 outcomes

Step-by-step explanation:

3 (main courses) x 2 (drinks) = 6 outcomes

eggs - orange juice

granola - orange juice

oatmeal - orange juice

eggs - milk

granola - milk

oatmeal - milk

Answer:

A

Step-by-step explanation:

This can be easily seen. 7/14 simplified is 1/2. When 20/40 is simplified, it's also 1/2

Answer:

Step-by-step explanation:

x² - 17x + 72 = 0

Sum = -17

Product  = 72

Factor = 8 , 9

x² - 17x + 72 = 0

x² - 8x -9x + (-8)*(-9) = 0

x(x - 8) -9(x -8) = 0

(x - 8 ) (x - 9) = 0

Length = (x - 8) units

Width = (x - 9) units

Answer:

A. y= 150+65x

Step-by-step explanation:

65 is the only number that changes. The 150 will be the same no matter what.

Answer:

cannibalism

Step-by-step explanation:

Answer:

y=4.347

Step-by-step explanation:

To solve for y in the equation:

[tex]\dfrac{y}{2.3}+5.69 =7.58[/tex]

First, subtract 5.69  from both sides

[tex]\dfrac{y}{2.3}+5.69-5.69 =7.58-5.69\\\dfrac{y}{2.3}=1.89\\$Cross Multiply\\y=1.89 X 2.3\\y=4.347[/tex]

Answer:

Expression A and C are correct because 9x - 3x = 6x and 5x + x = 6x, then -4

After simplification, Expression A (6x - 4) and Expression C (6x - 4) are equivalent to each other, but Expression B (12x - 4) is not equivalent to the other two.

The student's teacher presented a problem to determine the equivalence of three algebraic expressions: Expression A (9x - 3x - 4), Expression B (12x - 4), and Expression C (5x + x - 4).

Brianna incorrectly states that all three expressions are equivalent simply because they all evaluate to -4 when x = 0. However, this is a misinterpretation, as equivalence between algebraic expressions means that they yield the same result for all values of x, not just a single value.

To correct this, we simplify each expression:

Expression A: 9x - 3x - 4 simplifies to 6x - 4.

Expression B: 12x - 4 remains the same.

Expression C: 5x + x - 4 simplifies to 6x - 4.

After simplification, we see that Expression A is equivalent to Expression C, both simplifying to 6x - 4. However, Expression B remains different, with the term 12x - 4.a

Answer:

$9.3 dollars.

Step-by-step explanation:

To solve this question, you will need to begin by finding the percentage left of the original value:

100%-70%= 30% left.

Now, to find the exact value of the discounted item, you will solve for 30% (0.3) of $31:

0.3×31= $9.3 dollars.

Tara starts with $20, in which she buys 2 items for d amount. Subtract 2d from the total for your answer.

1) 20 - 2d

To find the average distance, add all the numbers together, and divide by the amount of numbers there are:

3) (t + w)/2

~

Vertex of the angle is 11.31 cm far from the center of the circle.

     Given in the question,

In ΔOPV and ΔOQV,

OP ≅ OQ (Radii of the circle)

PV ≅ QV (Tangents from a point outside the circle)

OV ≅ OV (Reflexive property)

ΔOPV ≅ ΔOQV (SSS property of congruence)

Therefore, m∠PVO = m∠QVO = 45°

By triangle sum theorem,

m∠POV + m∠PVO + m∠OPV = 180°

m∠POV + 45° + 90° = 180°

m∠POV = 45°

Hence, ΔOPV is an isosceles triangle.

OP = PV = 8 cm

By applying Pythagoras theorem in ΔOPV.

OV² = OP² + PV²

OV² = 8² + 8²

OV = √128

OV = 11.31 cm

   Therefore, vertex V is 11.31 cm from the center of the circle.

Learn more,

https://brainly.com/question/392263

The distance from the vertex of the angle to the center of the circle is 0 centimeters.

In this problem, we have two tangents to a circle, and we are given that the angle between them is 90 degrees. We need to find the distance from the vertex of the angle to the center of the circle.

Since the angle between the tangents is 90 degrees, the tangents are perpendicular to each other. This means that the vertex of the angle is located on the circumference of the circle, and it forms a right triangle with the center of the circle and one of the points where the tangents intersect the circle.

Using the Pythagorean theorem, we can find the distance from the vertex to the center of the circle. Let's call this distance x. We know that the radius of the circle is 8 centimeters, so one leg of the right triangle is 8 centimeters. The other leg is x centimeters, and the hypotenuse is the radius of the circle plus x centimeters.

Applying the Pythagorean theorem, we have:

x^2 + 8^2 = (8 + x)^2

Simplifying the equation, we get:

x^2 + 64 = 64 + 16x + x^2

Cancelling out x^2 terms, we have:

64 = 64 + 16x

Subtracting 64 from both sides, we get:

0 = 16x

Dividing both sides by 16, we get:

x = 0

Since we cannot have a distance of 0, the equation does not have a solution. This means that the vertex of the angle is located at the center of the circle, and the distance is 0 centimeters.

Answer:

3x would equal 18 is x was 6

Step-by-step explanation:

x=6

3*6=18

3x would equal 18

Answer:

1x1x1x1x1

Step-by-step explanation:

1^5 is the same as 1x1x1x1x1 because a power multiplies a number by itself

Answer:

1x1x1x1x1

Step-by-step explanation:

1^5 = 1x1x1x1x1 = 1

(happy to help!!!)

To solve the inequality -3(-3x - 4) < 66, first distribute the -3, then isolate the variable term resulting in 9x < 54 and divide by 9 to find x < 6 as the solution set.

Solving the Inequality

To solve the inequality -3(-3x - 4) < 66, we first distribute the -3 across the terms within the parentheses, which gives us 9x + 12 < 66.

Next, we subtract 12 from both sides to isolate the term with the variable, resulting in 9x < 54. Finally, we divide both sides by 9 to solve for x, which yields x < 6.

Thus, the solution set to the inequality is all real numbers less than 6.