write in the lowest terms\( \frac{72}{162} \)

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer:

8x³

Step-by-step explanation:

Given

16x^4 divided by 2x

= 16x^4 / 2x

= 8x^4-1

= 8x³

Hope it will help :)❤

Answer:

16x⁴/2x=8x^(4-1)=8x³

The possible values for the discriminant include the following:

A. -1

D. -18

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.

Discriminant, D = b² - 4ac

In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.

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Complete Question:

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A. -1

B. 3

C. 0

D. -18

B. 4

count the boxes from the point to the y axis, which would be 4

ignore my previous answer, i was confused, sorry.

Answer:

W > 2

Step-by-step explanation:

-2W + 17 < 13

-2W < -4

W > 2

First:

A graph that starts y< or y> will always be a dashed line, because the points on the line do not make the equality true.

A graph with y≤ or y≥ will have a solid line.

Second,:

If the equation is y<, then the shading will be below the line. (If you were standing on the line, you'd look straight down for the solutions.)

If the equation is y>, then the shading will be above the line. (If you were standing on the line, you'd look straight up for the solutions.)

For your exercise:

Neither A nor B fits that inequality. I hope there are options C and D

Step-by-step explanation:

Explanation is in the attachment

Hope it is helpful to you

✌️✌️✌️✌️✌️✌️✌️

Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

Answer:

-32

Step-by-step explanation:

Simply input the x and y values.

New equation:

| 147-(-9) | /(-4) +7

Step one:

147-(-9)   = 156

Step two:

|156|/-4    =-39

Step three:

-39+7      =-32

If you evaluate the expression it comes out to -32

Answer:

360cm²

Step-by-step explanation:

If the formula in the question is correct (S.A. = 40r²) then you just have to change r for r value:

40 * 3² = 40 * 9 = 360cm²

Hope it helps .

Answer:

A is your correct answer

Step-by-step explanation:

Expand -3.5(2-3n): -7+10.5n

=-7+10.5n-2.5n

Add similar elemnts:  10.5n-2.5n=8n

=-7-8n

Answer: 8 / 12 = x

Step-by-step explanation:

:D Hope its right

The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

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Answer:

No, they are not equivalent.

Step-by-step explanation:

2 (37) = 74

(2*3)*7 = 6 * 7 = 42

Construct the histogram for the percentage increase in the starting salary by using 10 as the class width.

Answer Output using MINITAB software is given below at the end of answer (bar graph)

Frequency:

The frequencies are calculated by using the tally mark and the range of the starting salary is grouped and the range is from 40 to 120. Here the number of times each percentage increase repeats is the frequency of that particular class.

The width of class is 10.

Make a tally mark for each value in the corresponding revenue class and continue for all values in the data.

The number of tally marks in each class represents the frequency, f of that class.

Similarly, the frequency of remaining classes for the percentage increase is given below at the end of the answer.

The data represents the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary.

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Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

39.9 rounded to 40 degrees

Step-by-step explanation:

\((4a+7b-12c)-(8a-9b+12d)\\4a+7b-12c-8a+9b-12d\)

Negative multiply negative = Positive

Negative multiply positive = negative

\(-8a+4a+9b+7b-12c-12d\\-4a+16b-12c-12d\)

Thus the answer is -4a + 16b - 12c - 12d.

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

If LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK

To find the length of LN in parallelogram JKLM, we can utilize the properties of parallelograms, particularly the diagonals.

In a parallelogram, the diagonals bisect each other. This means that the diagonal LN divides the parallelogram into two congruent triangles, JLN and KLN.

Given that LJ is 46 units, we know that LK, the other half of the diagonal, is also 46 units.

Now, we have a triangle JLN, in which we know LJ (46 units) and LK (46 units). Since JL and LK are congruent sides of a triangle, we can conclude that JLKN is an isosceles trapezoid.

In an isosceles trapezoid, the diagonals are also congruent. Therefore, LN is equal in length to JK.

Hence, LN = JK.

Since we don't have any specific information about the length of JK provided in the question, we cannot determine the exact length of LN without additional information. However, we can say that LN is equal in length to JK based on the properties of parallelograms and isosceles trapezoids.

In summary, if LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK. However, without knowing the length of JK specifically, we cannot determine the exact length of LN.

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Step-by-step explanation:

Speed = Distance/Time

If one commuter plane averaged 200 mph flying to a city

Time taken to fly to the city will be;

t1 = d/200

d = 200t1

If he used 120 mph returning to the international airport, the total time used to the airport will be

t2 = d/120

d = 120t2

Since the distance are the same;

200t1 = 120t2

t1/t2 = 120/200

t1/t2 = 3/5

5t1 = 3t2

t1 = 3t2/5

Substitute into t1+t2 = 4

3t2/5 +t2 = 4

8t2/5 = 4

8t2 = 20

t2 = 20/8

t2 = 2.5min

Since d = 120t2

d = 120(2.5)

d = 300miles

Hence the total distance between the two airports is 300miles

Answer:

The lenght is 6.667 in.

Step-by-step explanation:

Given:

Then:

So, the length is 6.67 in.

Answer:

II

Step-by-step explanation:

According to the graph,,,,they soent atleast abit over $100 so it can be choice a,secondly there bill had only manage to decrease about three times but only increased once so the answer is II only

The number of vertical asymptotes in the function is (G) 1

From the question, we have the following parameters that can be used in our computation:

g(x) = (x + 2)/(x^2 -- x - 6)

For the vertical asymptotes, we set the denominator to 0

So, we have the following representation

x^2 - x - 6 = 0

This gives

x^2 + 2x - 3x - 6 = 0

Factor the expression

(x + 2)(x - 3) = 0

This gives

x = -2 and x = 3

x = -2  is the same as the result of the numerator x + 2 = 0

So, the number of vertical asymptotes is 1

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Given:

1500mL of fruit punch

375mL of pineapple juice

1 L of ginger ale

Find: total amount of liters (L) if punch is doubled

Solution:

We need to convert each content of recipe first into liters. Remember that for 1 liter = 1000mL.

Let's start converting the fruit punch first.

Now, let's convert the pineapple juice.

So, we have:

1.5L of fruit punch

0.375L of pineapple juice

1 L of ginger ale

Let's add them all and then, double it.

Hence, there are 5.75L of punch of this recipe if doubled. (Option 4)

Answer:

-2(x-2)2=-8(7+y)

Step-by-step explanation:

Lets solve afterwards

\(\\ \sf\longmapsto -2(x-2)2=-8(7+y)\)

\(\\ \sf\longmapsto (-2x+4)2=-56-y\)

\(\\ \sf\longmapsto -4x+8=-56-y\)

\(\\ \sf\longmapsto -4x+y=-64\)

\(\\ \sf\longmapsto 4x-y=64\)

Answer:

-2(x - 2)2 = -8(7 + y)

Step-by-step explanation:

2(x - 2)2 = 8(7 + y)

(2x - 4)2 = 56 + y

4x - 8 = 56 + y

4x - 8 - 56 = y

4x - 64 = y

If option A

-2(x - 2)2 = -8(7 + y)

(-2x + 4)2 = - 56 - y

- 4x + 8 = - 56 - y

- 4x + 8 + 56 = - y

- 4x + 64 = - y

4x - 64 = y

(RIGHT)✔