Find the positive integer of a two digit number such that the difference between the tens digit and the unit digit is 2. If the digits are reversed, the sum of the integer and its reverse is equal to 132.

Answer:

26 and 26

Step-by-step explanation:

Let's call the two numbers x and 52-x.

Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.

Answer:

which kind?

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

20 divided by 5 + 19 - 6

20 divided by 5 = 4

4 + 19 = 23

23 - 6 = 17

Answer: 3

Step-by-step explanation: toppings are 50 cents so 50 * 3 = $1.50

There are 52 weeks in a year.

Using 50 for the number of weeks in a year is a(n) round.

Rounding is a process which we  approximate the known  number by just scaling it up or down.

In rounding the numbers less than 5 are scaled to one number less than the  given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .

For example if there were 55 or more than  weeks in a year we can say there are approximately 60 weeks in a year.

But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.

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y is 5% more than 110:

y = 110 x 1.05 = 115.50

x = 5% less than y:

x = 0.95(115.50)

x = 109.725

Answer:

the reciprocal of 1 6/7 is 7/15, so 7/15 and 7/13 have a difference of two in their denominators.

Step-by-step explanation:

hope I helped you! :D

Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.

Given that y || z:

∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:

∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)

m∠LAM = 180° (def. of straight line angle)

Thus, using the angles addition theorem, we have:

∠1 + ∠2 + ∠3 = m∠LAM

∠1 + ∠2 + ∠3 = 180° (eqn. 2).

Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.

∠5 + ∠2 + ∠6 = 180° (substitution).

Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about triangle sum theorem on:

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The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.

We have, y || z.

So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6  (Alternate Interior Angle)

Using Linear Pair

∠1 + ∠2 + ∠3 = m ∠LAM

∠1 + ∠2 + ∠3 = 180°

Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation

∠5 + ∠2 + ∠6 = 180° .

Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about Angle Sum Property here:

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Answer:

sorry I don't know the answer

Answer:

4.79 + 23.6

Try this, let me know if I'm wrong.

Answer:

g=7

Step-by-step explanation:

5.1 times 7 is 35.7

Answer:

Step-by-step explanation:

5.1g = 35.7

g = 35.7 / 5.1

= 7.

Answer:

5/2

Step-by-step explanation:

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1/10 = 10%

a percent is

[tex] \frac{part}{whole} = \frac{x}{100} [/tex]

If u take 1/10, 10 is one tenth of 100 (10*10=100).

Step-by-step explanation:

4 1/2 = 9/2

so, the calculation is simply how often 3/4 fits into 9/2.

and that is done by division :

9/2 / 3/4

and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.

so,

9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6

so, without any breaks the teacher can schedule 6 lessons each night.

Answer:

A

Step-by-step explanation:

because this is right

Answer:

64 by 16 feet

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

[tex]\mathbf{(x,y) \to (0,9200)(5,10900)}[/tex]

A linear function is represented as:

[tex]\mathbf{y = mx + b}[/tex]

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

[tex]\mathbf{10900 = 5m + 9200}[/tex]

Subtract 9200 from both sides

[tex]\mathbf{1700 = 5m}[/tex]

Divide both sides by 5

[tex]\mathbf{340 = m}[/tex]

So, we have:

[tex]\mathbf{m =340 }[/tex]

The function becomes

[tex]\mathbf{y = mx + b}[/tex]

[tex]\mathbf{y = 340x + 9200}[/tex]

In the academic year 2023-2024, x = 9.

So, we have:

[tex]\mathbf{y = 340x + 9200}[/tex]

[tex]\mathbf{y = 340 \times 9 + 9200}[/tex]

[tex]\mathbf{y = 3060 + 9200}[/tex]

[tex]\mathbf{y = 12260}[/tex]

Hence, the cost of tuition and fees is $12260

Read more about linear functions a:

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Answer:

To make students question their existence

Step-by-step explanation:

Answer:

???????????????????????????????

Step-by-step explanation:

Answer:so: 6=6/5-x^3

6=6(5-x^3)

6=30-6x^3

-6x^3=6-30

-6x^3=-24

-6x^3+24=0

6x^3-24=0

6(x^3-4)=0

x^3-4=0

x^3=4

x=cube root 4

x=1.5874

Step-by-step explanation:

Answer:

6h+5

Step-by-step explanation:

7h-h=6h

1+4=5

Hope this helps :)

Answer:

6h + 5 is the correct answer

Step-by-step explanation:

7h + 1 - h + 4

7h + 1 + 4 - h

7h + 5 - h

6h + 5

hope this helped!

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Harry is  x years old now.

Harry was x-3 years old three years ago.

Three years ago, Jenny was 2(x-3)=2x-6  years old.

Now, Jenny is 2x-6+3 years old.

In three years time, Jenny will be 2x-6+3+3=2x  years old.

In three years time, Ahmed will be 5(2x)= 10x  years old.

Hope this helped you-have a good day bro cya)

Answer:

Letter b

Step-by-step explanation:

because it is

Now

Volume=

Option B

Answer:

answer is the number 5

Step-by-step explanation:

First you square root 9 which is 3. Then u  3-1=  2.   then u times 2 by 6 which equals = 12. Then minus 7 from this number.    12-7=5            ur number is 5.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

Z  < − 6

Interval Notation:

( − ∞ , − 6 )

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k)are the coordinates of the centre and r is the radius

Given

2x² + 2y² - 4x + 16y = 128 ( divide through by 2 )

x² + y² - 2x + 8y = 64 ( collect x and y terms together )

x² - 2x + y² + 8y = 64

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16

(x - 1)² + (y + 4)² = 81 ← in standard form

with centre = (h, k ) = (1, - 4 ) → C

Answer:

  (a)  1

Step-by-step explanation:

The number of significant digits in the answer will be the minimum of the numbers of significant digits in the factors. Here, the value with only 1 significant digit is (1).

  1 most affects the number of significant digits in the answer

Answer:

d = h x 3+2

Example

The formula h=d/3+2

h = 15

d = h x 3+2

d = 15 x 3+2

d = 15 x 5

d = 75

To check the answer is correct

h = 75/5

h = 15